messages
listlengths 3
3
|
|---|
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Pink\nPink Yellow\nOutput:\nPurple Pink Purple Pink Purple Pink\nPink Yellow Pink Yellow Pink Yellow\nPink Purple Pink Purple Pink Purple\nYellow Pink Yellow Pink Yellow Pink\nPurple Pink Purple Pink Purple Pink\nPink Yellow Pink Yellow Pink Yellow\n```\n\n[Example 2]\n```\nInput:\nOrange Brown\nYellow Green\nOutput:\nOrange Brown Orange Brown Orange Brown\nYellow Green Yellow Green Yellow Green\nBrown Orange Brown Orange Brown Orange\nGreen Yellow Green Yellow Green Yellow\nOrange Brown Orange Brown Orange Brown\nYellow Green Yellow Green Yellow Green\n```\n\n***Test example:***\nInput:\nGreen Red\nOrange Purple\n```output",
"role": "user"
},
{
"content": "Output:\nGreen Red Green Red Green Red\nOrange Purple Orange Purple Orange Purple\nRed Green Red Green Red Green\nPurple Orange Purple Orange Purple Orange\nGreen Red Green Red Green Red\nOrange Purple Orange Purple Orange Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Purple Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Red Red Red Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Green Black Black Black\nBlack Black Black Black Green Black Green Black Green Black Green Black Black Black\nBlack Black Black Black Green Green Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Purple Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Red Black Black Black Red Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Red Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Purple Black Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Purple Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 5]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Purple Black Purple Black Purple\nBlack Black Black Black Black Purple Black Purple Black Purple Black Black Black Purple\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Black Black Black Orange Black Orange Black Orange\nBlack Black Black Black Black Orange Black Orange Black Orange Black Black Black Orange\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Green Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Green Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Green Black Black Black\nBlack Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Green Black Black Black Green Black Black\nBlack Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Green Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Green Purple Green Green Purple Green Black Green Black Black Black Green\nBlack Black Purple Purple Green Green Green Purple Black Black Green Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Green Green Green Green Purple Black Black Black Black Black Black\nGreen Green Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Green Pink Pink Pink Black Green Pink Pink Pink Green Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Green Black\nBlack Black Purple Green Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Purple Purple Black Black Purple Purple Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Green Black Black Black Green Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Blue Blue Blue Red Green Green Black Green Black Black\nBlack Blue Blue Green Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Green Black Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Blue Green Green Black Black Black Green\nBlack Blue Green Green Green Blue Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Blue Green Green Green Black Green Blue Red Green Green Black Blue Blue Red Green Green Black Black Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Green Red Blue Green Black Blue Blue Red Green Green Black Black Black Black\nBlue Blue Blue Red Green Green Black Blue Blue Red Green Green Green Blue Green Red Green Green Black Black Black Black\nBlack Purple Blue Purple Purple Green Black Purple Purple Purple Purple Purple Black Blue Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Green Black\nBlack Blue Blue Green Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Blue Green Green Black Blue Blue Red Green Blue Black Black Black Black\nBlue Blue Blue Red Green Green Black Blue Blue Red Green Blue Black Blue Blue Red Green Green Black Black Black Black\nGreen Purple Purple Purple Green Green Blue Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Green Black Green Black Blue Blue Black Green Black Black Black Black Black Black Black Black Black Blue\nBlack Black Green Black Black Blue Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Blue Blue Red Green Green Black Blue Blue Red Green Green Black Blue Blue Red Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Red Red Red Red Red Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Green\nBlack Green Red Red Green Black Black Green Red Red Green Black Green Green Red Red Green Black Black Green Black Black\nBlack Red Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Red Green Blue Green Black Black Red Red Blue Red Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Red Red Red Red Green Black Red Red Red Red Black Black Red Red Red Red Red Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Green Green Red Red Green Red Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Green Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Green Red Green Red Black Black Red Green Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Green Green Black Black Green Red Green Green Black Black Black Black Black\nGreen Green Green Green Green Black Black Green Green Green Green Black Black Green Red Green Green Black Black Red Black Black\nBlack Green Blue Blue Green Black Green Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Red Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Green Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black Black\nBlack Green Red Red Green Black Black Green Red Red Green Black Black Green Red Red Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black Black\nBlack Green Blue Blue Green Black Black Green Blue Blue Green Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Red Red Purple Green Red Black Red Red Purple Red Red Black Green Red Purple Red Red Black Black Black Green\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Green Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nGreen Purple Purple Green Green Purple Black Purple Purple Purple Purple Purple Black Purple Purple Green Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Green Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Green Black Black Black Black\nBlack Red Green Purple Red Red Black Red Red Green Red Green Black Red Red Purple Red Red Black Black Black Green\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Green Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Green Black Purple Purple Purple Green Purple Black Black Black Black\nBlack Purple Purple Purple Green Purple Black Purple Green Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Green Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Green Black\nBlack Green Green Green Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Purple Purple Purple Purple Black Purple Purple Green Green Purple Black Purple Purple Green Purple Purple Black Green Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Green Purple Purple Black Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Green Black Green Black Black Green Black Black Black Black Green Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Purple Red Red Black Red Red Purple Red Red Black Red Red Purple Red Red Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Green Green Purple Green Green Black Green Green Purple Green Green Black Green Green Purple Green Green Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nRed Red Red Red Red Black Black\nRed Black Black Black Red Black Black\nRed Black Red Black Red Black Black\nRed Black Black Black Red Black Black\nRed Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Black Black\nRed Purple Purple Purple Red Black Black\nRed Purple Red Purple Red Black Black\nRed Purple Purple Purple Red Black Black\nRed Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nRed Red Red Red Red Red Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Red Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Red Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Red Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Yellow Yellow Yellow Yellow Yellow Red Black Black\nRed Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Red Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Green Green Green Green Green Green Green Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Red Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Red Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nOutput:\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black\nBlack Red Purple Red Purple Red Black Black Black Black Black Black Black\nBlack Red Purple Purple Purple Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Red Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Red Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Black Red Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Red Red Red Red Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Red Red Red Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Red Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Red Purple Purple Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Purple Red Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Purple Purple Purple Red Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Red Red Red Red Red Black Black Black Black\nBlack Red Green Green Green Red Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Red Red Red Red Red Black Black\nBlack Red Green Green Green Green Green Green Green Red Black Black Black Red Purple Purple Purple Red Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black Black Red Purple Red Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Red Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Yellow Yellow Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlue Blue Black Black Black Black Black Black Black Yellow\nBlue Blue Black Red Red Black Green Green Black Yellow\nBlue Blue Black Red Red Black Green Green Black Yellow\nOutput:\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Red Red Black Black Black Black Black Black Black\nBlack Red Green Green Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Orange Orange Black Red Red Red\nPurple Purple Purple Black Orange Orange Black Red Red Red\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Orange Orange Black Black Black Black Black Black\nBlack Black Orange Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Green Green Green\nYellow Yellow Yellow Yellow Black Red Black Green Green Green\nYellow Yellow Yellow Yellow Black Red Black Green Green Green\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Purple Purple Black Pink Black Black Black Black\nOrange Black Purple Purple Black Pink Black Green Green Black\nOrange Black Purple Purple Black Pink Black Green Green Black\n```output",
"role": "user"
},
{
"content": "Output:\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nRed Black Black Red Red Black Black Red Black Red Black Black Red Red Black Black Black Red Black Red Black Black Red Red Red Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Red Black Black Black Purple Purple Purple Black Black Red Purple Purple Purple Black Black Black Black\nRed Black Black Purple Purple Black Black Red Black Purple Purple Black Red Red Black Black Black Purple Purple Purple Black Black Red Purple Purple Purple Black Red Black Black\nRed Red Red Purple Purple Red Red Red Red Purple Purple Red Red Red Red Red Red Purple Purple Purple Red Red Red Purple Purple Purple Red Red Red Red\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Purple Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Purple Black Black Black Black Black Black Red Purple Red Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nBlack Black Green Green Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Green Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Black Black Green Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Green Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Red Red Red Red Red Black Red Black Red Red Red Black Red Black Red Red Black Red Black Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Red Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Red Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Red Red Black Red Purple Purple Purple Purple Purple Black Red Black Red Red Purple Purple Purple Purple Red Red Black Red Black Purple Purple Black Black Black\nRed Red Red Red Red Red Purple Purple Purple Purple Purple Red Red Red Red Red Purple Purple Purple Purple Red Red Red Red Red Purple Purple Red Red Red\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Red Red Purple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Red Red Red Purple Black Black Black Black Black Red Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Purple Red Purple Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Red Red Red Red Black Black Black Black Black Red Red Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Black Black Black Black\nRed Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green\nRed Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Orange Black\nOrange Orange Orange\nBlack Orange Black\nOutput:\nBlack Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nBlack Black Black Black Black Black Black Black Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nBlack Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Pink\nBlack Pink Black\nPink Black Black\nOutput:\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Black Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nYellow Yellow Black\nBlack Black Yellow\nBlack Black Yellow\nOutput:\nBlack Black Yellow Black Black Yellow Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\n```\n\n***Test example:***\nInput:\nBlack Black Green\nGreen Green Black\nBlack Green Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Black Green\nGreen Green Black Green Green Black Black Black Black\nBlack Black Green Black Black Green Black Black Black\nGreen Black Green Green Black Green Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Red Red Red Blue Black Black Black Black Black Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue Red Red Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Blue Red Red Red Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Blue\nBlack Black Black Black Black Blue Red Blue Blue Blue Blue Red Red Red Red Red Red Red Blue Black Black Blue Red Red Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Blue Red Red Red Red Red Red Red Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Blue Green Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Blue Black Black Black Black Blue Red Red Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Blue Red Red Blue Black Blue Green Blue Blue Blue Green Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Green Blue Blue Blue Blue Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Green Green Green Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Green Green Blue Blue Blue Blue Green Green Green Green Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Green Green Green Green Blue Blue Blue Blue Blue Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Green Green Green Blue Black Black Black Blue Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Green Blue Blue Black Black Black Black Black Black Black Black Blue Blue Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Green Green Blue Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Green Green Green Green Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Green Green Green Green Blue Blue Blue Green Blue Black Black Black Blue Yellow Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Red Red Blue Blue Blue Blue Red Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Red Red Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Red Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Green Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Blue\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Yellow Yellow Blue Black Black Blue Green Blue Blue Blue Green Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Pink Pink Blue Black Black Blue Black Black Black\nBlack Black Blue Pink Pink Blue Black Black Blue Pink Pink Blue Black Blue Blue Blue Black Black\nBlack Black Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Blue Pink Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Pink Pink Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Yellow Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Purple Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Pink Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Yellow Yellow Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Blue Blue Yellow Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Blue Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Purple Purple Purple Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Purple Purple Purple Blue Blue Blue Purple Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Blue Black Black Black Blue Purple Purple Purple Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Purple Blue Blue Blue Purple Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Blue Blue Blue Black Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Blue Pink Pink Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Pink Pink Blue Black\nBlack Black Blue Pink Pink Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Blue Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Green Yellow Green Green Green Green Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Orange Yellow Orange Orange Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Purple Purple Purple Purple Brown Purple Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Green Red Red Red Red Red Gray Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Orange Orange Gray Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Black Black Purple\nBlack Black Purple Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black Black Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Green Green Green Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Black Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Purple Purple Purple\nBlack Black Purple Black Purple Black Black Black Purple Black Purple\nBlack Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Purple Purple Purple Purple Black\nPurple Purple Purple Purple Purple Black Purple Black Black Purple Black\nPurple Black Black Black Purple Black Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Black Red Black Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Black Red Black Black Black Blue Blue Blue\nBlack Black Red Black Red Black Black Black Blue Black Blue\nBlack Black Red Red Red Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Blue Blue Blue Blue Black\nGreen Green Green Green Green Black Blue Black Black Blue Black\nGreen Black Black Black Green Black Blue Black Black Blue Black\nGreen Green Green Green Green Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Black Black\nBlack Black Purple Black Black Black Purple Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Red Black Red Black Black\nBlack Black Blue Black Black Black Blue Black Black Red Red Red Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Green Black Black Blue Blue Blue Black\nBlack Black Black Black Black Green Green Green Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Purple Black Black Purple Black Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black\nBlack Purple Black Black Purple Black Black Black Black Purple Black Black Purple Black\nBlack Purple Purple Purple Purple Black Black Black Black Purple Black Black Purple Black\nBlack Purple Black Black Purple Black Black Black Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black Black Purple Black Black Purple Black Black\nBlack Black Purple Black Purple Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Red Red Red Red Black\nBlack Green Black Black Green Black Black Black Black Red Black Black Red Black\nBlack Green Green Green Green Black Black Black Black Red Black Black Red Black\nBlack Green Black Black Green Black Black Black Red Red Red Red Red Black\nBlack Green Green Green Green Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Red Black Black Red Black Black\nBlack Black Blue Black Blue Black Black Black Red Red Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black\nBlack Black Black Black Purple Black Purple Black Purple Black Purple Black Black Purple Black Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Purple Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Yellow Yellow Black Black Red Black Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Red Red Red Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Black Red Black Red Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Green Green Green Green Green Green Green\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Gray Gray Blue Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black Black Black Black\nBlack Pink Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Black Black\nBlack Black Red Black Black Black Black Black Red Black Black\nBlack Black Red Black Green Green Blue Black Red Black Black\nBlack Black Red Black Red Black Black Black Red Black Black\nBlack Black Red Black Red Black Black Black Red Black Black\nBlack Black Red Black Red Green Green Green Green Black Black\nBlack Black Red Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nGray Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Gray Gray Gray Gray Gray Gray Green Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Green Black Black\nBlack Green Black Gray Gray Blue Black Green Black Green Black Black\nBlack Green Black Green Black Black Black Green Black Green Black Black\nBlack Green Black Green Black Black Black Green Black Green Black Black\nBlack Green Black Green Gray Gray Gray Gray Black Green Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Black\nBlack Green Gray Gray Gray Gray Gray Gray Gray Gray Black Black\n```\n\n***Test example:***\nInput:\nRed Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Red Red Red Red Red Red Red Red Red Purple Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple Black Purple\nPurple Black Red Red Red Red Red Red Purple Black Purple Black Purple\nPurple Black Purple Black Black Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Red Red Blue Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Black Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Red Red Red Red Black Purple Black Purple\nPurple Black Purple Black Black Black Black Black Black Black Purple Black Purple\nPurple Black Purple Red Red Red Red Red Red Red Red Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGreen Blue Blue Brown Gray Pink Orange Blue Blue Yellow Gray Orange Green Brown Brown Blue Blue Brown Brown Green Orange Gray Yellow Blue Blue Orange Pink Gray Brown Blue\nBlue Green Brown Gray Pink Gray Blue Orange Yellow Blue Orange Gray Yellow Green Blue Green Green Blue Green Yellow Gray Orange Blue Yellow Orange Blue Gray Pink Gray Brown\nPink Brown Green Blue Orange Blue Gray Pink Brown Brown Blue Yellow Brown Blue Blue Yellow Yellow Blue Blue Brown Yellow Blue Brown Brown Pink Gray Blue Orange Blue Green\nBrown Blue Blue Green Blue Orange Pink Gray Brown Brown Yellow Blue Blue Green Yellow Blue Blue Yellow Green Blue Blue Yellow Brown Brown Gray Pink Orange Blue Green Blue\nPink Pink Pink Orange Green Blue Gray Brown Green Yellow Brown Blue Pink Orange Red Gray Gray Red Orange Pink Blue Brown Yellow Green Brown Gray Blue Green Orange Pink\nPink Pink Orange Pink Blue Green Brown Blue Brown Green Blue Green Orange Pink Gray Red Red Gray Pink Orange Green Blue Green Brown Blue Brown Green Blue Pink Orange\nPink Orange Pink Pink Blue Brown Green Blue Brown Blue Blue Yellow Pink Brown Pink Orange Orange Pink Brown Pink Yellow Blue Blue Brown Blue Green Brown Blue Pink Pink\nOrange Pink Pink Pink Brown Pink Blue Green Blue Green Yellow Blue Brown Pink Orange Pink Pink Orange Pink Brown Blue Yellow Green Blue Green Blue Purple Purple Purple Purple\nBlue Yellow Brown Brown Green Brown Brown Blue Blue Blue Pink Blue Gray Red Gray Gray Gray Gray Red Gray Blue Pink Blue Blue Blue Brown Purple Purple Purple Purple\nYellow Blue Brown Brown Yellow Green Blue Green Blue Blue Blue Pink Red Gray Gray Gray Gray Gray Gray Red Pink Blue Blue Blue Green Blue Purple Purple Purple Purple\nGray Orange Blue Yellow Brown Blue Blue Yellow Red Red Blue Blue Gray Gray Gray Red Red Gray Gray Gray Blue Blue Red Red Yellow Blue Purple Purple Purple Purple\nOrange Gray Yellow Blue Blue Green Yellow Blue Red Blue Blue Blue Gray Gray Red Gray Gray Red Gray Gray Blue Blue Blue Red Blue Yellow Green Blue Blue Yellow\nGreen Yellow Brown Blue Pink Orange Pink Brown Orange Pink Green Green Blue Blue Pink Blue Blue Pink Blue Blue Green Green Pink Orange Brown Pink Orange Pink Blue Brown\nBrown Green Blue Green Orange Pink Brown Pink Pink Orange Green Green Blue Blue Blue Pink Pink Blue Blue Blue Green Green Orange Pink Pink Brown Pink Orange Green Blue\nBrown Blue Blue Yellow Red Gray Pink Orange Green Green Orange Pink Blue Red Blue Blue Blue Blue Red Blue Pink Orange Green Green Orange Pink Gray Red Yellow Blue\nBlue Green Yellow Blue Gray Red Orange Pink Green Green Pink Orange Red Red Blue Blue Blue Blue Red Red Orange Pink Green Green Pink Orange Red Gray Blue Yellow\nBlue Green Yellow Blue Gray Red Orange Pink Green Green Pink Orange Red Red Blue Blue Blue Blue Red Red Orange Pink Green Green Pink Orange Red Gray Blue Yellow\nBrown Blue Blue Yellow Red Gray Pink Orange Green Green Orange Pink Blue Red Blue Blue Blue Blue Red Blue Pink Orange Green Green Orange Pink Gray Red Yellow Blue\nBrown Green Blue Green Orange Pink Brown Pink Pink Orange Green Green Blue Blue Blue Pink Pink Blue Blue Blue Green Green Orange Pink Pink Brown Pink Orange Green Blue\nGreen Yellow Brown Blue Pink Orange Pink Brown Orange Pink Green Green Blue Blue Pink Blue Blue Pink Blue Blue Green Green Pink Orange Brown Pink Orange Pink Blue Brown\nOrange Gray Yellow Blue Blue Green Yellow Blue Red Blue Blue Blue Gray Gray Red Gray Gray Red Gray Gray Blue Blue Blue Red Blue Yellow Green Blue Blue Yellow\nGray Orange Blue Yellow Brown Blue Blue Yellow Red Red Blue Blue Gray Gray Gray Red Red Gray Gray Gray Blue Blue Red Red Yellow Blue Blue Brown Yellow Blue\nYellow Blue Brown Brown Yellow Green Blue Green Blue Blue Blue Pink Red Gray Gray Gray Gray Gray Gray Red Pink Blue Blue Blue Green Blue Green Yellow Brown Brown\nBlue Yellow Brown Brown Green Brown Brown Blue Blue Blue Pink Blue Gray Red Gray Gray Gray Gray Red Gray Blue Pink Blue Blue Blue Brown Brown Green Brown Brown\nOrange Pink Pink Pink Brown Pink Blue Green Blue Green Yellow Blue Brown Pink Orange Pink Pink Orange Pink Brown Blue Yellow Green Blue Green Blue Pink Brown Pink Pink\nPink Orange Pink Pink Blue Brown Green Blue Brown Blue Blue Yellow Pink Brown Pink Orange Orange Pink Brown Pink Yellow Blue Blue Brown Blue Green Brown Blue Pink Pink\nPink Pink Orange Pink Blue Green Brown Blue Brown Green Blue Green Orange Pink Gray Red Red Gray Pink Orange Green Blue Green Brown Blue Brown Green Blue Pink Orange\nPink Pink Pink Orange Green Blue Gray Brown Green Yellow Brown Blue Pink Orange Red Gray Gray Red Orange Pink Blue Brown Yellow Green Brown Gray Blue Green Orange Pink\nBrown Blue Blue Green Blue Orange Pink Gray Brown Brown Yellow Blue Blue Green Yellow Blue Blue Yellow Green Blue Blue Yellow Brown Brown Gray Pink Orange Blue Green Blue\nPink Brown Green Blue Orange Blue Gray Pink Brown Brown Blue Yellow Brown Blue Blue Yellow Yellow Blue Blue Brown Yellow Blue Brown Brown Pink Gray Blue Orange Blue Green\nOutput:\nPink Brown Pink Pink\nBrown Green Brown Brown\nGreen Yellow Brown Brown\nBlue Brown Yellow Blue\n```\n\n[Example 2]\n```\nInput:\nBrown Brown Red Green Yellow Yellow Orange Gray Green Green Pink Pink Green Gray Pink Yellow Yellow Pink Gray Green Pink Pink Green Green Gray Orange Yellow Yellow Green Red\nOrange Brown Green Gray Yellow Yellow Gray Orange Green Green Pink Pink Pink Green Yellow Pink Pink Yellow Green Pink Pink Pink Green Green Orange Gray Yellow Yellow Gray Green\nGreen Red Brown Brown Orange Gray Yellow Yellow Yellow Blue Green Green Pink Yellow Yellow Orange Orange Yellow Yellow Pink Green Purple Purple Purple Purple Purple Gray Orange Brown Brown\nRed Green Orange Brown Gray Orange Yellow Yellow Blue Yellow Green Green Yellow Pink Orange Yellow Yellow Orange Pink Yellow Green Purple Purple Purple Purple Purple Orange Gray Brown Orange\nOrange Orange Brown Green Brown Brown Gray Green Green Pink Pink Yellow Pink Orange Brown Brown Brown Brown Orange Pink Yellow Purple Purple Purple Purple Purple Brown Brown Green Brown\nOrange Orange Green Brown Orange Brown Green Red Gray Green Yellow Pink Red Pink Brown Brown Brown Brown Pink Red Pink Purple Purple Purple Purple Purple Brown Orange Brown Green\nBrown Green Orange Orange Green Red Brown Brown Pink Yellow Yellow Orange Brown Red Pink Orange Orange Pink Red Brown Orange Yellow Yellow Pink Brown Brown Red Green Orange Orange\nGreen Brown Orange Orange Red Green Orange Brown Yellow Pink Orange Yellow Red Brown Red Pink Pink Red Brown Red Yellow Orange Pink Yellow Brown Orange Green Red Orange Orange\nGreen Green Yellow Blue Green Gray Pink Yellow Red Yellow Orange Orange Blue Pink Orange Red Red Orange Pink Blue Orange Orange Yellow Red Yellow Pink Gray Green Blue Yellow\nGreen Green Blue Yellow Pink Green Yellow Pink Red Red Orange Blue Pink Blue Red Orange Orange Red Blue Pink Blue Orange Red Red Pink Yellow Green Pink Yellow Blue\nPink Pink Green Green Pink Yellow Yellow Orange Blue Blue Red Yellow Orange Red Blue Pink Pink Blue Red Orange Yellow Red Blue Blue Orange Yellow Yellow Pink Green Green\nPink Pink Green Green Yellow Pink Orange Yellow Blue Green Red Red Red Orange Pink Blue Blue Pink Orange Red Red Red Green Blue Yellow Orange Pink Yellow Green Green\nGreen Pink Pink Yellow Pink Red Brown Red Brown Brown Brown Orange Red Yellow Blue Orange Orange Blue Yellow Red Orange Brown Brown Brown Red Brown Red Pink Yellow Pink\nGray Green Yellow Pink Orange Pink Red Brown Brown Brown Orange Brown Red Red Orange Orange Orange Orange Red Red Brown Orange Brown Brown Brown Red Pink Orange Pink Yellow\nPink Yellow Yellow Orange Brown Brown Pink Red Brown Orange Brown Brown Green Blue Red Yellow Yellow Red Blue Green Brown Brown Orange Brown Red Pink Brown Brown Orange Yellow\nYellow Pink Orange Yellow Brown Brown Orange Pink Orange Brown Brown Brown Blue Blue Red Red Red Red Blue Blue Brown Brown Brown Orange Pink Orange Brown Brown Yellow Orange\nYellow Pink Orange Yellow Brown Brown Orange Pink Orange Brown Brown Brown Blue Blue Red Red Red Red Blue Blue Brown Brown Brown Orange Pink Orange Brown Brown Yellow Orange\nPink Yellow Yellow Orange Brown Brown Pink Red Brown Orange Brown Brown Green Blue Red Yellow Yellow Red Blue Green Brown Brown Orange Brown Red Pink Brown Brown Orange Yellow\nGray Green Yellow Pink Orange Pink Red Brown Brown Brown Orange Brown Red Red Orange Orange Orange Orange Red Red Brown Orange Brown Brown Brown Red Pink Orange Pink Yellow\nGreen Pink Pink Yellow Pink Red Brown Red Brown Brown Brown Orange Red Yellow Blue Orange Orange Blue Yellow Red Orange Brown Brown Brown Red Brown Red Pink Yellow Pink\nPink Pink Green Green Yellow Pink Orange Yellow Blue Green Red Red Red Orange Pink Blue Blue Pink Orange Red Red Red Green Blue Yellow Orange Pink Yellow Green Green\nPink Pink Green Green Pink Yellow Yellow Orange Blue Blue Red Yellow Orange Red Blue Pink Pink Blue Red Orange Yellow Red Blue Blue Orange Yellow Yellow Pink Green Green\nGreen Green Blue Yellow Pink Green Yellow Pink Red Red Orange Blue Pink Blue Red Orange Orange Red Blue Pink Blue Orange Red Red Pink Yellow Green Pink Yellow Blue\nGreen Green Yellow Blue Green Gray Pink Yellow Red Yellow Orange Orange Blue Pink Orange Red Red Orange Pink Blue Orange Orange Yellow Red Yellow Pink Gray Green Blue Yellow\nGreen Brown Orange Orange Red Green Orange Brown Yellow Pink Orange Yellow Red Brown Red Pink Pink Red Brown Red Yellow Orange Pink Yellow Brown Orange Green Red Orange Orange\nBrown Green Orange Orange Green Red Brown Brown Pink Yellow Yellow Orange Brown Red Pink Orange Orange Pink Red Brown Orange Yellow Yellow Pink Brown Brown Red Green Orange Orange\nOrange Orange Green Brown Orange Brown Green Red Gray Green Yellow Pink Red Pink Brown Brown Brown Brown Pink Red Pink Yellow Green Gray Red Green Brown Orange Brown Green\nOrange Orange Brown Green Brown Brown Gray Green Green Pink Pink Yellow Pink Orange Brown Brown Brown Brown Orange Pink Yellow Pink Pink Green Green Gray Brown Brown Green Brown\nRed Green Orange Brown Gray Orange Yellow Yellow Blue Yellow Green Green Yellow Pink Orange Yellow Yellow Orange Pink Yellow Green Green Yellow Blue Yellow Yellow Orange Gray Brown Orange\nGreen Red Brown Brown Orange Gray Yellow Yellow Yellow Blue Green Green Pink Yellow Yellow Orange Orange Yellow Yellow Pink Green Green Blue Yellow Yellow Yellow Gray Orange Brown Brown\nOutput:\nGreen Blue Yellow Yellow Yellow\nGreen Yellow Blue Yellow Yellow\nPink Pink Green Green Gray\nYellow Green Gray Red Green\n```\n\n[Example 3]\n```\nInput:\nGreen Gray Green Green Pink Pink Gray Yellow Blue Yellow Brown Brown Yellow Green Brown Brown Brown Brown Green Yellow Brown Brown Yellow Blue Yellow Gray Pink Pink Green Green\nGray Green Green Green Pink Pink Yellow Gray Yellow Blue Brown Brown Green Yellow Brown Blue Blue Brown Yellow Green Brown Brown Blue Yellow Gray Yellow Pink Pink Green Green\nBlue Blue Green Gray Gray Yellow Pink Pink Brown Blue Blue Yellow Brown Brown Yellow Gray Gray Yellow Brown Brown Yellow Blue Blue Brown Pink Pink Yellow Gray Gray Green\nBlue Blue Gray Green Yellow Gray Pink Pink Blue Brown Yellow Blue Brown Blue Yellow Yellow Yellow Yellow Blue Brown Blue Yellow Brown Blue Pink Pink Gray Yellow Green Gray\nPink Brown Brown Brown Green Gray Green Green Yellow Green Brown Brown Brown Red Pink Brown Brown Pink Red Brown Brown Brown Green Yellow Green Green Gray Green Brown Brown\nBrown Pink Brown Brown Gray Green Green Green Green Yellow Brown Blue Brown Brown Brown Pink Pink Brown Brown Brown Blue Brown Yellow Green Green Green Green Gray Brown Brown\nBrown Brown Pink Brown Blue Blue Green Gray Brown Brown Yellow Yellow Pink Brown Brown Red Red Brown Brown Pink Yellow Yellow Brown Brown Gray Green Blue Blue Brown Pink\nBrown Brown Brown Pink Blue Blue Gray Green Brown Blue Gray Yellow Brown Pink Brown Brown Brown Brown Pink Brown Yellow Gray Blue Brown Green Gray Blue Blue Pink Brown\nBlue Yellow Brown Blue Yellow Green Brown Brown Gray Gray Orange Red Yellow Green Red Yellow Yellow Red Green Yellow Red Orange Gray Gray Brown Brown Green Yellow Blue Brown\nYellow Blue Blue Brown Green Yellow Brown Blue Yellow Gray Red Orange Green Yellow Yellow Red Red Yellow Yellow Green Orange Red Gray Yellow Blue Brown Yellow Green Brown Blue\nBrown Brown Blue Yellow Brown Brown Yellow Gray Pink Yellow Gray Gray Red Yellow Yellow Green Green Yellow Yellow Red Gray Gray Yellow Pink Gray Yellow Brown Brown Yellow Blue\nBrown Brown Yellow Blue Brown Blue Yellow Yellow Yellow Gray Yellow Gray Yellow Red Green Yellow Yellow Green Red Yellow Gray Yellow Gray Yellow Yellow Yellow Blue Brown Blue Yellow\nYellow Green Brown Brown Brown Brown Pink Brown Gray Brown Orange Orange Gray Gray Orange Red Red Orange Gray Gray Orange Orange Brown Gray Brown Pink Brown Brown Brown Brown\nGreen Yellow Brown Blue Red Brown Brown Pink Brown Gray Orange Orange Yellow Gray Red Orange Orange Red Gray Yellow Orange Orange Gray Brown Pink Brown Brown Red Blue Brown\nBrown Brown Yellow Yellow Pink Brown Brown Brown Orange Orange Gray Brown Gray Yellow Gray Gray Gray Gray Yellow Gray Brown Gray Orange Orange Brown Purple Purple Purple Purple Yellow\nBrown Blue Gray Yellow Brown Pink Red Brown Orange Orange Brown Gray Yellow Pink Yellow Gray Gray Yellow Pink Yellow Gray Brown Orange Orange Brown Purple Purple Purple Purple Gray\nBrown Blue Gray Yellow Brown Pink Red Brown Orange Orange Brown Gray Yellow Pink Yellow Gray Gray Yellow Pink Yellow Gray Brown Orange Orange Brown Purple Purple Purple Purple Gray\nBrown Brown Yellow Yellow Pink Brown Brown Brown Orange Orange Gray Brown Gray Yellow Gray Gray Gray Gray Yellow Gray Brown Gray Orange Orange Brown Purple Purple Purple Purple Yellow\nGreen Yellow Brown Blue Red Brown Brown Pink Brown Gray Orange Orange Yellow Gray Red Orange Orange Red Gray Yellow Orange Orange Gray Brown Pink Purple Purple Purple Purple Brown\nYellow Green Brown Brown Brown Brown Pink Brown Gray Brown Orange Orange Gray Gray Orange Red Red Orange Gray Gray Orange Orange Brown Gray Brown Purple Purple Purple Purple Brown\nBrown Brown Yellow Blue Brown Blue Yellow Yellow Yellow Gray Yellow Gray Yellow Red Green Yellow Yellow Green Red Yellow Gray Yellow Gray Yellow Yellow Purple Purple Purple Purple Yellow\nBrown Brown Blue Yellow Brown Brown Yellow Gray Pink Yellow Gray Gray Red Yellow Yellow Green Green Yellow Yellow Red Gray Gray Yellow Pink Gray Purple Purple Purple Purple Blue\nYellow Blue Blue Brown Green Yellow Brown Blue Yellow Gray Red Orange Green Yellow Yellow Red Red Yellow Yellow Green Orange Red Gray Yellow Blue Purple Purple Purple Purple Blue\nBlue Yellow Brown Blue Yellow Green Brown Brown Gray Gray Orange Red Yellow Green Red Yellow Yellow Red Green Yellow Red Orange Gray Gray Brown Brown Green Yellow Blue Brown\nBrown Brown Brown Pink Blue Blue Gray Green Brown Blue Gray Yellow Brown Pink Brown Brown Brown Brown Pink Brown Yellow Gray Blue Brown Green Gray Blue Blue Pink Brown\nBrown Brown Pink Brown Blue Blue Green Gray Brown Brown Yellow Yellow Pink Brown Brown Red Red Brown Brown Pink Yellow Yellow Brown Brown Gray Green Blue Blue Brown Pink\nBrown Pink Brown Brown Gray Green Green Green Green Yellow Brown Blue Brown Brown Brown Pink Pink Brown Brown Brown Blue Brown Yellow Green Green Green Green Gray Brown Brown\nPink Brown Brown Brown Green Gray Green Green Yellow Green Brown Brown Brown Red Pink Brown Brown Pink Red Brown Brown Brown Green Yellow Green Green Gray Green Brown Brown\nBlue Blue Gray Green Yellow Gray Pink Pink Blue Brown Yellow Blue Brown Blue Yellow Yellow Yellow Yellow Blue Brown Blue Yellow Brown Blue Pink Pink Gray Yellow Green Gray\nBlue Blue Green Gray Gray Yellow Pink Pink Brown Blue Blue Yellow Brown Brown Yellow Gray Gray Yellow Brown Brown Yellow Blue Blue Brown Pink Pink Yellow Gray Gray Green\nOutput:\nBrown Brown Pink Yellow\nRed Pink Brown Yellow\nRed Pink Brown Yellow\nBrown Brown Pink Yellow\nBrown Brown Red Blue\nPink Brown Brown Brown\nYellow Blue Brown Blue\nYellow Brown Brown Yellow\nBrown Yellow Green Brown\n```\n\n[Example 4]\n```\nInput:\nBlue Brown Yellow Yellow Brown Brown Red Orange Pink Pink Brown Brown Orange Pink Orange Red Red Orange Pink Orange Brown Brown Pink Pink Orange Red Brown Brown Yellow Yellow\nOrange Blue Yellow Yellow Brown Brown Orange Red Pink Pink Brown Brown Pink Orange Red Orange Orange Red Orange Pink Brown Brown Pink Pink Red Orange Brown Brown Yellow Yellow\nRed Orange Blue Brown Red Orange Brown Brown Yellow Yellow Pink Pink Orange Red Gray Blue Blue Gray Red Orange Pink Pink Yellow Yellow Brown Brown Orange Red Brown Blue\nOrange Red Orange Blue Orange Red Brown Brown Yellow Yellow Pink Pink Red Orange Gray Gray Gray Gray Orange Red Pink Pink Yellow Yellow Brown Brown Red Orange Blue Orange\nBrown Pink Orange Red Blue Brown Yellow Yellow Orange Pink Orange Red Brown Red Pink Yellow Yellow Pink Red Brown Red Orange Pink Orange Yellow Yellow Brown Blue Red Orange\nPink Brown Red Orange Orange Blue Yellow Yellow Pink Orange Red Orange Brown Brown Yellow Pink Pink Yellow Brown Brown Orange Red Orange Pink Yellow Yellow Blue Orange Orange Red\nOrange Red Brown Pink Red Orange Blue Brown Orange Red Gray Gray Yellow Gray Brown Red Red Brown Gray Yellow Gray Gray Red Orange Brown Blue Orange Red Pink Brown\nRed Orange Pink Brown Orange Red Orange Blue Red Orange Blue Gray Gray Yellow Brown Brown Brown Brown Yellow Gray Gray Blue Orange Red Blue Orange Red Orange Brown Pink\nPink Pink Yellow Yellow Orange Pink Orange Red Green Orange Blue Yellow Brown Orange Orange Pink Pink Orange Orange Brown Yellow Blue Orange Green Red Orange Pink Orange Yellow Yellow\nPink Pink Yellow Yellow Pink Orange Red Orange Yellow Green Yellow Yellow Orange Brown Pink Orange Orange Pink Brown Orange Yellow Yellow Green Yellow Orange Red Orange Pink Yellow Yellow\nBrown Brown Pink Pink Orange Red Gray Blue Green Orange Green Orange Orange Pink Brown Orange Orange Brown Pink Orange Orange Green Orange Green Blue Gray Red Orange Pink Pink\nBrown Brown Pink Pink Red Orange Gray Gray Orange Orange Yellow Green Pink Orange Orange Brown Brown Orange Orange Pink Green Yellow Orange Orange Gray Gray Orange Red Pink Pink\nOrange Pink Orange Red Brown Brown Yellow Gray Pink Pink Gray Brown Green Orange Yellow Yellow Yellow Yellow Orange Green Brown Gray Pink Pink Gray Yellow Brown Brown Red Orange\nPink Orange Red Orange Red Brown Gray Yellow Pink Pink Brown Gray Yellow Green Yellow Blue Blue Yellow Green Yellow Gray Brown Pink Pink Yellow Gray Brown Red Orange Red\nOrange Red Gray Gray Pink Yellow Brown Brown Gray Brown Pink Pink Orange Orange Green Orange Orange Green Orange Orange Pink Pink Brown Gray Brown Brown Yellow Pink Gray Gray\nRed Orange Blue Gray Yellow Pink Red Brown Brown Gray Pink Pink Orange Green Yellow Green Green Yellow Green Orange Pink Pink Gray Brown Brown Red Pink Yellow Gray Blue\nRed Orange Blue Gray Yellow Pink Red Brown Brown Gray Pink Pink Orange Green Yellow Green Green Yellow Green Orange Pink Pink Gray Brown Brown Red Pink Yellow Gray Blue\nOrange Red Gray Gray Pink Yellow Brown Brown Gray Brown Pink Pink Orange Orange Green Orange Orange Green Orange Orange Pink Pink Brown Gray Brown Brown Yellow Pink Gray Gray\nPink Orange Red Orange Red Brown Gray Yellow Pink Pink Brown Gray Yellow Green Yellow Blue Blue Yellow Green Yellow Gray Brown Pink Pink Yellow Gray Brown Red Orange Red\nOrange Pink Orange Red Brown Brown Yellow Gray Pink Pink Gray Brown Purple Purple Purple Purple Purple Purple Purple Green Brown Gray Pink Pink Gray Yellow Brown Brown Red Orange\nBrown Brown Pink Pink Red Orange Gray Gray Orange Orange Yellow Green Purple Purple Purple Purple Purple Purple Purple Pink Green Yellow Orange Orange Gray Gray Orange Red Pink Pink\nBrown Brown Pink Pink Orange Red Gray Blue Green Orange Green Orange Purple Purple Purple Purple Purple Purple Purple Orange Orange Green Orange Green Blue Gray Red Orange Pink Pink\nPink Pink Yellow Yellow Pink Orange Red Orange Yellow Green Yellow Yellow Orange Brown Pink Orange Orange Pink Brown Orange Yellow Yellow Green Yellow Orange Red Orange Pink Yellow Yellow\nPink Pink Yellow Yellow Orange Pink Orange Red Green Orange Blue Yellow Brown Orange Orange Pink Pink Orange Orange Brown Yellow Blue Orange Green Red Orange Pink Orange Yellow Yellow\nRed Orange Pink Brown Orange Red Orange Blue Red Orange Blue Gray Gray Yellow Brown Brown Brown Brown Yellow Gray Gray Blue Orange Red Blue Orange Red Orange Brown Pink\nOrange Red Brown Pink Red Orange Blue Brown Orange Red Gray Gray Yellow Gray Brown Red Red Brown Gray Yellow Gray Gray Red Orange Brown Blue Orange Red Pink Brown\nPink Brown Red Orange Orange Blue Yellow Yellow Pink Orange Red Orange Brown Brown Yellow Pink Pink Yellow Brown Brown Orange Red Orange Pink Yellow Yellow Blue Orange Orange Red\nBrown Pink Orange Red Blue Brown Yellow Yellow Orange Pink Orange Red Brown Red Pink Yellow Yellow Pink Red Brown Red Orange Pink Orange Yellow Yellow Brown Blue Red Orange\nOrange Red Orange Blue Orange Red Brown Brown Yellow Yellow Pink Pink Red Orange Gray Gray Gray Gray Orange Red Pink Pink Yellow Yellow Brown Brown Red Orange Blue Orange\nRed Orange Blue Brown Red Orange Brown Brown Yellow Yellow Pink Pink Orange Red Gray Blue Blue Gray Red Orange Pink Pink Yellow Yellow Brown Brown Orange Red Brown Blue\nOutput:\nGreen Orange Yellow Yellow Yellow Yellow Orange\nPink Orange Orange Brown Brown Orange Orange\nOrange Pink Brown Orange Orange Brown Pink\n```\n\n***Test example:***\nInput:\nYellow Yellow Blue Green Gray Orange Orange Brown Pink Blue Pink Pink Yellow Yellow Orange Orange Orange Orange Yellow Yellow Pink Pink Blue Pink Brown Orange Orange Gray Green Blue\nYellow Yellow Green Green Orange Gray Brown Orange Pink Pink Pink Pink Yellow Yellow Orange Red Red Orange Yellow Yellow Pink Pink Pink Pink Orange Brown Gray Orange Green Green\nGreen Yellow Yellow Yellow Orange Brown Gray Orange Gray Blue Pink Blue Orange Orange Brown Brown Brown Brown Orange Orange Blue Pink Blue Gray Orange Gray Brown Orange Yellow Yellow\nYellow Green Yellow Yellow Brown Orange Orange Gray Blue Gray Pink Pink Orange Red Blue Brown Brown Blue Red Orange Pink Pink Gray Blue Gray Orange Orange Brown Yellow Yellow\nBrown Orange Orange Yellow Yellow Yellow Green Green Yellow Yellow Orange Orange Brown Orange Green Red Red Green Orange Brown Orange Orange Yellow Yellow Green Green Yellow Yellow Yellow Orange\nOrange Brown Yellow Orange Yellow Yellow Green Blue Yellow Yellow Orange Red Orange Brown Red Green Green Red Brown Orange Red Orange Yellow Yellow Blue Green Yellow Yellow Orange Yellow\nOrange Yellow Brown Orange Green Yellow Yellow Yellow Orange Orange Brown Blue Orange Yellow Brown Orange Orange Brown Yellow Orange Blue Brown Orange Orange Yellow Yellow Yellow Green Orange Brown\nYellow Orange Orange Brown Yellow Green Yellow Yellow Orange Red Brown Brown Yellow Orange Orange Brown Brown Orange Orange Yellow Brown Brown Red Orange Yellow Yellow Green Yellow Brown Orange\nPink Pink Gray Blue Yellow Yellow Orange Orange Orange Red Red Pink Yellow Pink Red Red Red Red Pink Yellow Pink Red Red Orange Orange Orange Yellow Yellow Blue Gray\nBlue Pink Blue Gray Yellow Yellow Orange Red Green Orange Pink Pink Pink Yellow Red Red Red Red Yellow Pink Pink Pink Orange Green Red Orange Yellow Yellow Gray Blue\nPink Pink Pink Pink Orange Orange Brown Brown Brown Blue Orange Red Red Red Yellow Pink Pink Yellow Red Red Red Orange Blue Brown Brown Brown Orange Orange Pink Pink\nPink Pink Blue Pink Orange Red Blue Brown Blue Gray Green Orange Red Red Pink Yellow Yellow Pink Red Red Orange Green Gray Blue Brown Blue Red Orange Pink Blue\nYellow Yellow Orange Orange Brown Orange Orange Yellow Brown Brown Blue Pink Orange Red Pink Pink Pink Pink Red Orange Pink Blue Brown Brown Yellow Orange Orange Brown Orange Orange\nYellow Yellow Orange Red Orange Brown Yellow Orange Brown Brown Pink Blue Green Orange Pink Red Red Pink Orange Green Blue Pink Brown Brown Orange Yellow Brown Orange Red Orange\nPurple Purple Purple Blue Green Red Brown Orange Blue Pink Brown Brown Gray Blue Orange Red Red Orange Blue Gray Brown Brown Pink Blue Orange Brown Red Green Blue Brown\nPurple Purple Purple Brown Red Green Orange Brown Pink Blue Brown Brown Blue Brown Green Orange Orange Green Brown Blue Brown Brown Blue Pink Brown Orange Green Red Brown Brown\nPurple Purple Purple Brown Red Green Orange Brown Pink Blue Brown Brown Blue Brown Green Orange Orange Green Brown Blue Brown Brown Blue Pink Brown Orange Green Red Brown Brown\nPurple Purple Purple Blue Green Red Brown Orange Blue Pink Brown Brown Gray Blue Orange Red Red Orange Blue Gray Brown Brown Pink Blue Orange Brown Red Green Blue Brown\nPurple Purple Purple Red Orange Brown Yellow Orange Brown Brown Pink Blue Green Orange Pink Red Red Pink Orange Green Blue Pink Brown Brown Orange Yellow Brown Orange Red Orange\nPurple Purple Purple Orange Brown Orange Orange Yellow Brown Brown Blue Pink Orange Red Pink Pink Pink Pink Red Orange Pink Blue Brown Brown Yellow Orange Orange Brown Orange Orange\nPurple Purple Purple Pink Orange Red Blue Brown Blue Gray Green Orange Red Red Pink Yellow Yellow Pink Red Red Orange Green Gray Blue Brown Blue Red Orange Pink Blue\nPurple Purple Purple Pink Orange Orange Brown Brown Brown Blue Orange Red Red Red Yellow Pink Pink Yellow Red Red Red Orange Blue Brown Brown Brown Orange Orange Pink Pink\nPurple Purple Purple Gray Yellow Yellow Orange Red Green Orange Pink Pink Pink Yellow Red Red Red Red Yellow Pink Pink Pink Orange Green Red Orange Yellow Yellow Gray Blue\nPink Pink Gray Blue Yellow Yellow Orange Orange Orange Red Red Pink Yellow Pink Red Red Red Red Pink Yellow Pink Red Red Orange Orange Orange Yellow Yellow Blue Gray\nYellow Orange Orange Brown Yellow Green Yellow Yellow Orange Red Brown Brown Yellow Orange Orange Brown Brown Orange Orange Yellow Brown Brown Red Orange Yellow Yellow Green Yellow Brown Orange\nOrange Yellow Brown Orange Green Yellow Yellow Yellow Orange Orange Brown Blue Orange Yellow Brown Orange Orange Brown Yellow Orange Blue Brown Orange Orange Yellow Yellow Yellow Green Orange Brown\nOrange Brown Yellow Orange Yellow Yellow Green Blue Yellow Yellow Orange Red Orange Brown Red Green Green Red Brown Orange Red Orange Yellow Yellow Blue Green Yellow Yellow Orange Yellow\nBrown Orange Orange Yellow Yellow Yellow Green Green Yellow Yellow Orange Orange Brown Orange Green Red Red Green Orange Brown Orange Orange Yellow Yellow Green Green Yellow Yellow Yellow Orange\nYellow Green Yellow Yellow Brown Orange Orange Gray Blue Gray Pink Pink Orange Red Blue Brown Brown Blue Red Orange Pink Pink Gray Blue Gray Orange Orange Brown Yellow Yellow\nGreen Yellow Yellow Yellow Orange Brown Gray Orange Gray Blue Pink Blue Orange Orange Brown Brown Brown Brown Orange Orange Blue Pink Blue Gray Orange Gray Brown Orange Yellow Yellow\n```output",
"role": "user"
},
{
"content": "Output:\nOrange Orange Brown\nOrange Red Brown\nOrange Red Brown\nOrange Orange Brown\nYellow Yellow Orange\nYellow Yellow Orange\nPink Pink Blue\nPink Pink Pink\nBlue Pink Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Red Black Black Black Red Gray Red Red Black Gray Red Gray Gray Black Red Red Gray Red Red Gray Gray Black Red Black Black Red Black Black Black\nGray Black Black Gray Red Red Gray Red Gray Black Black Red Red Gray Gray Red Red Gray Black Gray Red Black Black Black Gray Black Gray Gray Black Red\nGray Black Red Red Purple Purple Purple Purple Purple Purple Purple Gray Black Red Yellow Yellow Yellow Yellow Gray Black Black Red Green Green Green Green Green Black Black Red\nBlack Gray Black Gray Purple Purple Purple Purple Purple Purple Purple Red Black Black Yellow Yellow Yellow Yellow Black Black Red Black Green Green Green Green Green Black Red Black\nGray Black Gray Black Purple Purple Purple Purple Purple Purple Purple Red Red Black Yellow Yellow Yellow Yellow Red Red Black Red Green Green Green Green Green Gray Black Gray\nBlack Black Black Gray Purple Purple Purple Purple Purple Purple Purple Red Black Black Yellow Yellow Yellow Yellow Black Black Red Red Green Green Green Green Green Black Black Red\nBlack Black Black Red Gray Gray Gray Red Red Black Black Black Red Gray Black Gray Red Black Red Black Gray Black Gray Red Black Red Black Gray Gray Red\nBlack Black Red Red Gray Gray Black Black Red Black Gray Black Gray Black Black Black Red Red Black Black Red Black Black Black Red Black Red Black Black Black\nBlack Red Black Red Black Black Black Black Red Black Red Black Red Black Gray Red Black Black Black Gray Red Black Gray Red Black Black Gray Red Black Black\nBlack Red Black Red Black Black Red Black Black Black Red Gray Red Black Black Red Black Black Red Black Red Black Black Black Red Black Gray Black Gray Black\nBlack Red Red Red Blue Blue Blue Blue Blue Red Red Red Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Black Black Gray Black\nBlack Black Black Red Blue Blue Blue Blue Blue Black Gray Black Green Green Green Green Green Green Green Red Black Orange Orange Orange Orange Orange Red Gray Gray Gray\nBlack Black Gray Red Blue Blue Blue Blue Blue Gray Red Black Green Green Green Green Green Green Green Black Red Orange Orange Orange Orange Orange Black Red Gray Red\nRed Gray Black Red Blue Blue Blue Blue Blue Red Black Black Green Green Green Green Green Green Green Red Gray Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Red Black Black Gray Black Red Red Red Black Green Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Red Black Red Red\nBlack Black Red Black Black Gray Black Red Black Red Black Gray Gray Black Black Red Black Gray Red Red Red Red Black Gray Red Black Black Red Red Black\nBlack Black Gray Red Black Black Red Black Gray Black Black Black Black Gray Black Black Black Red Red Black Black Black Black Gray Gray Black Red Black Black Gray\nBlack Red Red Black Purple Purple Purple Purple Purple Black Red Black Gray Yellow Yellow Yellow Yellow Yellow Red Black Black Red Black Black Gray Black Black Black Red Black\nBlack Black Red Black Purple Purple Purple Purple Purple Red Red Gray Black Yellow Yellow Yellow Yellow Yellow Black Red Gray Black Blue Blue Blue Blue Blue Red Black Red\nRed Red Black Black Purple Purple Purple Purple Purple Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Blue Blue Blue Blue Blue Gray Black Black\nRed Gray Gray Black Purple Purple Purple Purple Purple Black Gray Black Gray Yellow Yellow Yellow Yellow Yellow Black Gray Black Red Blue Blue Blue Blue Blue Black Black Black\nRed Black Black Black Purple Purple Purple Purple Purple Black Black Black Gray Red Gray Black Black Red Gray Black Red Red Blue Blue Blue Blue Blue Black Black Black\nBlack Gray Red Gray Gray Red Red Black Red Black Black Red Gray Black Gray Black Black Gray Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nRed Black Black Black Red Gray Black Black Gray Gray Red Black Red Red Black Black Gray Gray Black Black Black Gray Black Red Black Gray Black Black Red Gray\nBlack Black Gray Black Black Black Black Red Black Gray Gray Black Red Gray Black Black Black Red Black Red Black Black Gray Black Black Black Black Black Black Gray\nBlack Red Black Red Black Gray Red Gray Black Gray Red Black Black Black Black Black Black Gray Red Red Gray Red Black Black Black Black Black Gray Gray Black\nBlack Black Black Gray Gray Black Red Red Red Black Black Red Black Red Black Black Gray Red Black Red Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Red Red Black Red Red Black Black Black Black Gray Red Red Red Black Black Black Gray\nRed Red Red Black Black Black Black Red Black Gray Gray Black Black Black Gray Black Red Black Gray Black Black Black Gray Black Red Black Red Red Red Gray\nGray Black Black Red Red Gray Red Red Black Black Black Black Red Gray Black Red Black Gray Black Black Gray Gray Gray Black Black Red Black Black Black Gray\nOutput:\nPurple Yellow Green\nBlue Green Orange\nPurple Yellow Blue\n```\n\n[Example 2]\n```\nInput:\nBlack Red Black Black Black Red Black Purple Black Black Black Red Black Red Black Red Black Black Red Purple Black Black Red Black Purple Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Purple Purple Red Black Black Black Black Black Black\nPurple Black Red Green Green Green Green Green Green Black Black Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Brown Brown Brown Brown Brown Black Black\nPurple Black Purple Green Green Green Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Purple Black Purple Brown Brown Brown Brown Brown Purple Purple\nRed Purple Black Green Green Green Green Green Green Purple Purple Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Brown Brown Brown Brown Brown Black Black\nPurple Black Black Green Green Green Green Green Green Black Black Red Red Red Purple Purple Purple Purple Black Red Purple Red Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Purple Black Black Purple Black Black Red Purple Red Black Black Red Black Black Black Black Black Black Purple Black Brown Brown Brown Brown Brown Purple Purple\nBlack Purple Purple Purple Black Black Red Black Purple Black Black Black Red Purple Purple Black Black Black Purple Black Red Black Red Black Purple Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Red Purple Purple Red Black Black Red Black Black Red Black Black Purple Red Purple Black\nPurple Black Black Black Black Black Purple Red Purple Red Purple Black Black Black Black Black Black Red Purple Red Black Black Black Black Black Purple Black Black Black Black\nBlack Black Red Pink Pink Pink Pink Black Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Purple Black Black Red Black Black Black Red Black\nPurple Black Purple Pink Pink Pink Pink Black Purple Black Purple Yellow Yellow Yellow Yellow Yellow Yellow Red Black Red Red Red Black Blue Blue Blue Blue Blue Purple Black\nBlack Red Black Pink Pink Pink Pink Purple Black Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Black Purple Black Black Black Blue Blue Blue Blue Blue Black Red\nBlack Red Purple Pink Pink Pink Pink Purple Black Purple Black Yellow Yellow Yellow Yellow Yellow Yellow Black Purple Red Red Black Red Blue Blue Blue Blue Blue Black Purple\nBlack Black Red Pink Pink Pink Pink Black Black Black Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Black Purple Purple Blue Blue Blue Blue Blue Purple Black\nBlack Black Black Pink Pink Pink Pink Black Black Red Purple Black Purple Purple Red Purple Black Purple Black Black Black Black Black Blue Blue Blue Blue Blue Black Red\nRed Purple Black Pink Pink Pink Pink Black Red Black Black Black Black Red Purple Black Black Black Red Purple Black Black Red Black Black Black Black Black Black Black\nBlack Black Purple Black Red Black Black Black Black Black Purple Black Black Black Red Purple Black Black Black Black Black Black Black Black Purple Red Black Black Black Red\nBlack Black Red Black Purple Black Black Black Red Purple Black Purple Black Black Black Purple Black Purple Purple Purple Black Purple Black Black Purple Black Red Red Black Red\nPurple Black Black Black Black Black Purple Purple Red Red Purple Black Purple Red Red Purple Black Black Black Black Purple Black Red Black Purple Black Black Black Purple Red\nRed Red Black Black Black Black Red Purple Black Purple Black Black Red Red Purple Black Black Red Black Black Black Red Red Red Black Black Black Red Red Purple\nBlack Purple Purple Black Black Purple Purple Black Purple Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Purple Red Black Black\nBlack Black Red Purple Red Black Red Black Black Purple Black Black Black Red Black Purple Black Black Black Red Purple Purple Black Purple Black Red Black Black Black Purple\nRed Black Black Black Black Black Black Black Purple Purple Black Red Black Purple Black Black Black Black Black Black Red Red Black Black Red Black Black Purple Purple Black\nPurple Red Black Black Black Purple Black Purple Black Purple Red Black Black Black Purple Black Black Purple Black Red Black Black Purple Black Red Red Purple Black Black Black\nBlack Purple Black Red Red Purple Red Purple Black Red Red Black Black Black Red Red Red Red Red Red Black Black Black Purple Black Purple Black Black Purple Red\nBlack Black Red Purple Red Purple Black Black Black Black Black Black Black Black Purple Black Black Red Black Red Red Black Black Purple Black Red Black Black Purple Purple\nBlack Black Black Black Purple Black Black Black Purple Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Purple Red Purple Black Black Purple Black\nPurple Red Black Red Purple Purple Black Black Black Red Black Black Black Purple Purple Black Purple Black Black Black Purple Red Purple Purple Black Red Purple Red Red Red\nRed Black Purple Purple Black Black Black Purple Black Black Purple Black Purple Black Black Black Purple Black Red Black Black Purple Black Purple Black Black Red Purple Black Black\nOutput:\nGreen Blue Brown\nPink Yellow Blue\n```\n\n[Example 3]\n```\nInput:\nBlue Black Black Black Brown Blue Blue Black Blue Brown Blue Black Brown Black Black Blue Black Blue Black Black Black Black Blue Brown Black Blue Blue Brown Brown Brown\nBlack Black Black Black Brown Blue Black Black Black Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Brown Brown Black Black Blue Blue Blue Blue Brown Black\nBlue Blue Blue Black Black Blue Blue Brown Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Black Blue Black Blue Black Black Black Blue Brown\nBlack Blue Brown Black Black Black Black Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Brown Black Black Purple Purple Purple Purple Blue Black Blue Black\nBlack Black Blue Blue Black Brown Black Brown Black Black Black Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Black Blue Blue Purple Purple Purple Purple Black Blue Brown Black\nBlue Blue Black Purple Purple Purple Purple Purple Purple Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Black Black Black Purple Purple Purple Purple Blue Black Brown Black\nBlue Black Brown Purple Purple Purple Purple Purple Purple Black Black Brown Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Brown Purple Purple Purple Purple Blue Black Blue Black\nBrown Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Brown Brown Black Brown Black Black Blue Black Blue Brown Blue Black Black Brown Blue\nBlack Brown Blue Blue Black Blue Brown Blue Black Blue Black Brown Blue Black Black Black Brown Brown Blue Black Blue Blue Black Black Black Black Black Brown Black Blue\nBlue Blue Black Brown Brown Black Black Brown Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Black Blue Black Green Green Green Green Green Black Blue Black\nBlack Blue Black Black Green Green Green Blue Brown Blue Black Black Orange Orange Orange Orange Black Blue Black Brown Black Black Green Green Green Green Green Blue Blue Brown\nBlue Black Blue Blue Green Green Green Blue Black Black Blue Black Orange Orange Orange Orange Black Black Brown Black Black Black Green Green Green Green Green Black Blue Black\nBlack Blue Blue Black Green Green Green Brown Black Blue Black Brown Blue Blue Black Black Black Blue Brown Blue Blue Blue Green Green Green Green Green Black Black Brown\nBlack Black Black Blue Black Brown Brown Brown Black Brown Brown Blue Brown Brown Black Black Blue Black Blue Black Black Brown Black Black Black Black Brown Black Brown Black\nBlack Blue Black Blue Black Brown Blue Black Blue Brown Blue Brown Black Black Blue Black Black Black Black Black Black Brown Brown Brown Brown Black Brown Brown Blue Black\nBlue Black Brown Black Blue Brown Black Black Black Black Brown Brown Blue Blue Blue Brown Black Blue Brown Blue Yellow Yellow Yellow Yellow Yellow Brown Black Blue Black Black\nBrown Black Black Black Brown Black Brown Black Black Brown Black Black Brown Black Black Black Blue Black Black Brown Yellow Yellow Yellow Yellow Yellow Black Blue Black Black Black\nBrown Black Brown Red Red Red Red Red Brown Brown Blue Brown Purple Purple Purple Purple Black Brown Black Brown Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue\nBlack Black Blue Red Red Red Red Red Blue Black Blue Black Purple Purple Purple Purple Blue Brown Brown Blue Yellow Yellow Yellow Yellow Yellow Blue Black Brown Brown Black\nBlack Blue Black Red Red Red Red Red Black Blue Black Blue Purple Purple Purple Purple Black Brown Blue Black Yellow Yellow Yellow Yellow Yellow Black Blue Blue Blue Blue\nBlue Black Black Red Red Red Red Red Black Black Blue Black Purple Purple Purple Purple Black Brown Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black\nBrown Blue Brown Black Brown Black Brown Brown Blue Brown Brown Brown Blue Black Black Blue Black Black Blue Black Blue Blue Black Black Black Blue Black Blue Blue Black\nBrown Black Brown Black Black Blue Black Black Brown Blue Blue Brown Brown Blue Black Brown Blue Black Black Black Blue Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Blue Brown Blue Blue Blue Blue Black Black Brown Blue Black Blue Blue Blue Brown Blue Brown Black Brown Blue Blue Blue Blue Black Black Black\nBlue Black Black Black Blue Brown Brown Blue Blue Black Blue Black Black Brown Black Black Blue Black Black Black Black Black Black Black Black Brown Black Brown Blue Blue\nBlack Black Blue Blue Blue Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black\nBlack Black Brown Black Blue Black Blue Black Black Black Black Blue Black Blue Blue Blue Black Black Blue Blue Black Brown Brown Black Blue Black Blue Blue Black Blue\nBlack Black Black Brown Black Blue Brown Blue Blue Blue Blue Black Brown Brown Black Black Black Black Black Black Brown Black Blue Black Black Black Black Brown Black Blue\nBlue Black Blue Brown Black Brown Black Black Black Black Brown Blue Black Black Black Black Brown Black Blue Blue Black Blue Blue Blue Black Black Black Blue Black Black\nBlue Black Black Black Black Brown Brown Black Blue Black Brown Black Brown Black Blue Blue Blue Black Black Blue Black Black Brown Black Blue Black Brown Brown Brown Blue\nOutput:\nPurple Yellow Purple\nGreen Orange Green\nRed Purple Yellow\n```\n\n***Test example:***\nInput:\nGray Gray Black Black Black Purple Gray Black Black Purple Purple Purple Black Purple Black Black Gray Gray Black Gray Black Gray Purple Black Black Black Black Black Black Purple\nPurple Purple Gray Gray Black Purple Black Black Gray Purple Black Black Gray Purple Black Purple Black Purple Black Purple Black Black Gray Black Purple Purple Black Black Black Black\nBlack Gray Gray Gray Black Gray Purple Black Gray Purple Black Black Black Gray Black Gray Purple Purple Gray Purple Gray Black Gray Black Black Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Purple Purple Black Black Black Gray Purple Green Green Green Green Green Gray Black Purple Black Purple Purple Black Purple Purple Black Black Gray\nBlack Gray Black Gray Red Red Red Red Red Red Black Gray Purple Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green Black Black Gray\nPurple Purple Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Gray Purple Black Green Green Green Green Green Green Black Purple Black\nPurple Gray Black Black Red Red Red Red Red Red Black Black Purple Green Green Green Green Green Black Black Black Green Green Green Green Green Green Gray Black Black\nGray Black Purple Purple Red Red Red Red Red Red Purple Black Black Green Green Green Green Green Black Black Black Black Gray Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Purple Black Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Gray Black Gray Gray Black Purple Black Purple Purple Black Black Gray Purple Black Black Black Black Gray Black Black Blue Blue Blue Blue Blue Gray Gray Gray\nPurple Black Purple Yellow Yellow Yellow Yellow Yellow Gray Black Gray Purple Orange Orange Orange Orange Orange Black Black Purple Gray Black Blue Blue Blue Blue Blue Black Gray Black\nPurple Gray Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Orange Black Black Gray Black Black Blue Blue Blue Blue Blue Black Gray Black\nBlack Purple Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Orange Gray Black Black Gray Purple Blue Blue Blue Blue Blue Gray Gray Black\nBlack Purple Gray Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Orange Black Purple Black Purple Black Blue Blue Blue Blue Blue Gray Gray Black\nBlack Gray Purple Yellow Yellow Yellow Yellow Yellow Black Black Purple Black Purple Black Black Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Gray Purple\nPurple Purple Black Black Black Black Purple Black Purple Black Black Black Black Black Black Gray Black Black Gray Gray Purple Black Gray Black Gray Purple Black Black Black Gray\nBlack Purple Black Gray Black Black Black Gray Gray Purple Gray Gray Green Green Green Green Green Green Green Purple Black Gray Black Orange Orange Orange Orange Gray Black Gray\nBlack Black Gray Gray Black Gray Blue Blue Blue Blue Black Black Green Green Green Green Green Green Green Black Purple Purple Purple Orange Orange Orange Orange Purple Black Purple\nBlack Black Black Black Black Black Blue Blue Blue Blue Gray Purple Green Green Green Green Green Green Green Purple Gray Black Purple Orange Orange Orange Orange Black Gray Gray\nBlack Gray Black Purple Black Gray Blue Blue Blue Blue Gray Black Green Green Green Green Green Green Green Gray Black Gray Black Orange Orange Orange Orange Gray Black Black\nBlack Black Gray Black Black Purple Blue Blue Blue Blue Black Black Gray Purple Black Black Gray Purple Purple Black Black Purple Black Orange Orange Orange Orange Purple Black Black\nGray Black Gray Purple Black Black Purple Black Gray Black Black Black Black Black Gray Purple Black Black Gray Purple Black Black Gray Black Purple Purple Purple Black Black Gray\nBlack Gray Black Gray Gray Yellow Yellow Yellow Gray Black Gray Black Pink Pink Pink Pink Pink Pink Black Black Red Red Red Red Red Red Black Black Gray Gray\nBlack Purple Black Gray Gray Yellow Yellow Yellow Black Purple Gray Black Pink Pink Pink Pink Pink Pink Black Black Red Red Red Red Red Red Gray Black Purple Gray\nPurple Black Black Black Black Yellow Yellow Yellow Gray Black Purple Black Pink Pink Pink Pink Pink Pink Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Gray Gray Black Purple Pink Pink Pink Pink Pink Pink Gray Black Red Red Red Red Red Red Black Black Purple Black\nGray Gray Black Black Black Gray Gray Purple Gray Purple Black Black Pink Pink Pink Pink Pink Pink Purple Gray Purple Black Black Purple Gray Black Purple Gray Black Black\nBlack Gray Purple Gray Black Purple Gray Gray Gray Black Purple Purple Black Black Gray Black Purple Gray Gray Black Black Black Gray Purple Black Black Black Black Purple Gray\nBlack Black Black Black Purple Black Black Gray Purple Purple Purple Gray Black Black Black Gray Black Gray Black Black Black Gray Black Purple Black Gray Gray Black Black Purple\nPurple Black Gray Black Black Black Black Black Gray Purple Purple Purple Black Black Gray Gray Gray Gray Purple Gray Black Black Gray Purple Gray Purple Gray Gray Black Gray\n```output",
"role": "user"
},
{
"content": "Output:\nRed Green Green\nYellow Orange Blue\nBlue Green Orange\nYellow Pink Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPink Red Yellow Red\nRed Red Pink Pink\nPink Yellow Red Yellow\nOutput:\nYellow Red Yellow Pink Pink Yellow Red Yellow\nPink Pink Red Red Red Red Pink Pink\nRed Yellow Red Pink Pink Red Yellow Red\nRed Yellow Red Pink Pink Red Yellow Red\nPink Pink Red Red Red Red Pink Pink\nYellow Red Yellow Pink Pink Yellow Red Yellow\n```\n\n[Example 2]\n```\nInput:\nGray Gray Brown Brown\nBrown Gray Gray Gray\nGray Orange Gray Orange\nOutput:\nOrange Gray Orange Gray Gray Orange Gray Orange\nGray Gray Gray Brown Brown Gray Gray Gray\nBrown Brown Gray Gray Gray Gray Brown Brown\nBrown Brown Gray Gray Gray Gray Brown Brown\nGray Gray Gray Brown Brown Gray Gray Gray\nOrange Gray Orange Gray Gray Orange Gray Orange\n```\n\n[Example 3]\n```\nInput:\nGreen Green Gray Gray\nGray Purple Gray Purple\nPurple Purple Gray Purple\nOutput:\nPurple Gray Purple Purple Purple Purple Gray Purple\nPurple Gray Purple Gray Gray Purple Gray Purple\nGray Gray Green Green Green Green Gray Gray\nGray Gray Green Green Green Green Gray Gray\nPurple Gray Purple Gray Gray Purple Gray Purple\nPurple Gray Purple Purple Purple Purple Gray Purple\n```\n\n***Test example:***\nInput:\nPurple Gray Orange Purple\nOrange Orange Purple Purple\nGray Gray Purple Gray\n```output",
"role": "user"
},
{
"content": "Output:\nGray Purple Gray Gray Gray Gray Purple Gray\nPurple Purple Orange Orange Orange Orange Purple Purple\nPurple Orange Gray Purple Purple Gray Orange Purple\nPurple Orange Gray Purple Purple Gray Orange Purple\nPurple Purple Orange Orange Orange Orange Purple Purple\nGray Purple Gray Gray Gray Gray Purple Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Red Red Red Red Black Black Black Black Black Red Red Red Red Black Black Black Black Blue\nBlack Black Red Red Red Red Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Black Black Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Blue Black Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Blue Black Black Red Red Red Black Black Black Black Red Red Red Red\nBlack Black Red Red Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Red Red Red Black Black Blue Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Black Red Red Red Black Black Red Red Red Black Black Black Blue\nBlack Black Red Red Red Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Red Red Red Red Black Black Black Black\nRed Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Red Red Red Red Red Black Black Black Black Black Red Red Red\nBlack Red Red Red Red Red Black Blue Black Black Black Black Black Black\nOutput:\nBlack Black Blue Blue Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nRed Red Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nRed Red Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Red Red Red\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Red Red Red\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Red Red Red\nBlack Black Black Black Black Black Black Blue Black Black Black Red Red Red\nBlack Red Red Red Red Red Black Blue Black Black Black Red Red Red\nBlack Red Red Red Red Red Black Blue Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black Red Red Red Black Red Red Red Red Red Black Red Red Red Red Black Black\nBlue Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Black Red Red Red Red Black Blue\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Red Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Red Red Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Red Red Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Black Black Red Red Red Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Blue Blue Black Black Black Red Black Black Black Green Green\nBlack Black Black Blue Black Black Black Red Black Black Green Green Black\nBlack Black Black Blue Blue Black Black Red Black Black Black Green Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Red Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Red Black Gray Gray Black Black\nBlack Black Yellow Black Black Black Black Red Black Black Gray Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Gray Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nOutput:\nBlue Blue Black Black Green Green\nBlack Blue Black Green Green Black\nBlack Blue Blue Black Green Black\nBlack Yellow Black Gray Gray Black\nYellow Black Yellow Black Gray Black\nBlack Yellow Black Black Black Gray\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Green Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Green Green Black Black Black\nBlack Black Black Black Blue Black Black Black Green Black Black Black Black\nBlack Red Red Black Blue Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Black Black Black Black Black Black Black Black\nBlack Red Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Gray Black Blue Black Black Black Black Black Black Black Black\nGray Gray Gray Black Blue Black Black Purple Black Purple Black Black Black\nBlack Gray Black Black Blue Black Black Black Purple Black Black Black Black\nBlack Black Black Black Blue Black Black Purple Black Black Black Black Black\nOutput:\nBlack Red Red Green Black Black\nRed Red Red Black Green Green\nBlack Red Black Black Green Black\nBlack Black Gray Purple Black Purple\nGray Gray Gray Black Purple Black\nBlack Gray Black Purple Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Green Black Black Blue Blue Black\nBlack Black Red Red Black Black Green Black Blue Black Black Black\nBlack Red Black Red Black Black Green Black Black Blue Black Black\nBlack Black Red Black Black Black Green Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Gray Black\nBlack Black Black Black Black Black Green Black Black Gray Black Gray\nBlack Black Black Black Black Black Green Black Black Gray Gray Gray\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nYellow Black Black Black Black Black Green Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Green Black Black Black Black Black\nBlack Yellow Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nOutput:\nBlack Red Red Black Blue Blue\nRed Black Red Blue Black Black\nBlack Red Black Black Blue Black\nYellow Black Black Black Gray Black\nYellow Yellow Yellow Gray Black Gray\nBlack Yellow Black Gray Gray Gray\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Green Green Green Black\nBlack Black Red Red Black Black Blue Black Black Black Green Green Black\nBlack Black Red Black Black Black Blue Black Black Green Black Black Black\nBlack Red Black Red Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Yellow Black Black\nBlack Black Pink Pink Black Black Blue Black Black Yellow Black Yellow Black\nBlack Pink Black Pink Black Black Blue Black Black Black Yellow Black Black\nBlack Pink Pink Black Black Black Blue Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Red Red Green Green Green\nBlack Red Black Black Green Green\nRed Black Red Green Black Black\nBlack Pink Pink Black Yellow Black\nPink Black Pink Yellow Black Yellow\nPink Pink Black Black Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nYellow Red Black Black Black Black Black Black Black Black\nGreen Orange Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Yellow Yellow Black Black\nBlack Black Black Black Black Green Red Yellow Black Black\nBlack Black Black Orange Orange Green Red Yellow Black Black\nBlack Black Black Orange Green Green Red Black Black Black\nBlack Black Black Orange Black Black Red Red Black Black\nBlack Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nYellow Red Black Black Black Black Black Black Black Black\nGreen Orange Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Orange Red Red Black Black\nBlack Black Black Black Black Orange Yellow Red Black Black\nBlack Black Black Green Green Orange Yellow Red Black Black\nBlack Black Black Green Orange Orange Yellow Black Black Black\nBlack Black Black Green Black Black Yellow Yellow Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlue Green Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Green Green Green Green Blue Purple Black Black\nBlack Black Green Green Red Black Purple Purple Black Black\nBlack Black Black Black Red Black Purple Purple Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlue Green Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Blue Blue Blue Blue Green Red Black Black\nBlack Black Blue Blue Purple Black Red Red Black Black\nBlack Black Black Black Purple Black Red Red Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBrown Yellow Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Orange Brown Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Orange Yellow Black Black Black Black\nBlack Black Black Pink Pink Orange Black Black Black Black\nBlack Black Black Orange Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBrown Yellow Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Pink Yellow Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Black Black\nBlack Black Black Orange Orange Pink Black Black Black Black\nBlack Black Black Pink Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nPurple Brown Black Black Black Black Black Black Black Black\nRed Yellow Black Black Black Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Brown Black Black Black\nBlack Black Black Red Purple Purple Brown Black Black Black\nBlack Black Black Red Yellow Red Black Black Black Black\nBlack Black Black Red Red Yellow Black Black Black Black\nBlack Black Black Red Yellow Yellow Black Black Black Black\nBlack Black Black Brown Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Brown Black Black Black Black Black Black Black Black\nRed Yellow Black Black Black Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Purple Black Black Black\nBlack Black Black Yellow Brown Brown Purple Black Black Black\nBlack Black Black Yellow Red Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Red Black Black Black Black\nBlack Black Black Yellow Red Red Black Black Black Black\nBlack Black Black Purple Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Red Red Black\nRed Black Black Black\nBlack Red Black Red\nRed Red Red Red\nBlack Black Red Black\nBlack Black Red Red\nOrange Orange Orange Orange\nBlack Pink Pink Black\nBlack Black Black Black\nPink Pink Pink Pink\nPink Pink Black Pink\nBlack Pink Pink Pink\nBlack Black Pink Black\nOutput:\nPurple Black Black Purple\nBlack Purple Purple Purple\nBlack Black Black Black\nBlack Black Black Black\nPurple Black Black Black\nPurple Purple Black Black\n```\n\n[Example 2]\n```\nInput:\nRed Red Black Red\nRed Black Red Red\nRed Red Black Black\nBlack Red Black Red\nBlack Red Red Black\nRed Black Black Red\nOrange Orange Orange Orange\nPink Black Pink Pink\nBlack Pink Black Black\nBlack Black Black Black\nBlack Black Black Pink\nPink Pink Black Black\nPink Black Pink Black\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Purple Purple\nPurple Black Purple Black\nBlack Black Black Purple\nBlack Purple Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Red\nRed Black Black Black\nBlack Red Red Red\nBlack Black Black Red\nRed Black Red Black\nBlack Red Red Black\nOrange Orange Orange Orange\nPink Black Pink Pink\nPink Black Black Pink\nBlack Pink Pink Pink\nPink Black Black Black\nPink Black Black Pink\nBlack Black Pink Black\nOutput:\nBlack Purple Black Black\nBlack Purple Purple Black\nPurple Black Black Black\nBlack Purple Purple Black\nBlack Purple Black Black\nPurple Black Black Purple\n```\n\n[Example 4]\n```\nInput:\nRed Red Black Black\nBlack Red Red Black\nRed Red Black Black\nRed Black Black Black\nBlack Black Black Red\nRed Red Black Black\nOrange Orange Orange Orange\nPink Pink Pink Pink\nPink Black Pink Pink\nPink Pink Black Black\nBlack Black Black Black\nPink Pink Black Black\nBlack Black Pink Black\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Purple Purple\nBlack Purple Purple Purple\nBlack Black Purple Black\nBlack Black Black Purple\n```\n\n***Test example:***\nInput:\nBlack Black Black Red\nBlack Red Red Black\nRed Black Black Red\nBlack Red Red Black\nRed Black Red Red\nBlack Black Black Red\nOrange Orange Orange Orange\nPink Pink Black Pink\nPink Pink Pink Black\nBlack Black Black Black\nPink Pink Black Pink\nPink Black Pink Black\nBlack Black Pink Pink\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Purple Black\nBlack Black Black Purple\nBlack Purple Purple Black\nBlack Black Black Black\nBlack Purple Black Black\nPurple Purple Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Blue Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Purple Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Yellow Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Black\nBlack Black Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Black Green Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Red Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Yellow Black Black\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Gray Black Black\nBlack Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Yellow Black Black Black Black Black Black Black\nBlack Black Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Yellow Black Black Black Black Black Black Black\nBlack Black Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Red Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Red Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Yellow Yellow Yellow Black Black Black Black Black\nBlack Red Red Red Yellow Yellow Yellow Black Black Black Black Black\nBlack Red Red Red Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black\nBlack Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Green Black Red Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Green Black Red Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Black Pink Black Black\nGray Yellow Yellow Yellow Black\nBlack Black Pink Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nOutput:\nGray Black Pink Black Black\nGray Yellow Yellow Yellow Black\nBlack Black Pink Black Black\nBlack Black Pink Black Black\nBlack Yellow Yellow Yellow Black\n```\n\n[Example 2]\n```\nInput:\nGray Black Purple Purple Black Black Black\nGray Black Black Orange Black Black Black\nGray Black Black Yellow Yellow Black Black\nBlack Black Green Green Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nGray Black Purple Purple Black Black Black\nGray Black Black Orange Black Black Black\nGray Black Black Yellow Yellow Black Black\nBlack Black Green Green Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Purple Purple Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Yellow Yellow Black Black\n```\n\n[Example 3]\n```\nInput:\nGray Black Black Yellow Yellow Black Black\nGray Black Purple Purple Purple Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nGray Black Black Yellow Yellow Black Black\nGray Black Purple Purple Purple Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Purple Purple Purple Black Black\n```\n\n[Example 4]\n```\nInput:\nGray Black Black Green Green Black\nGray Black Black Green Red Black\nGray Black Black Red Green Black\nGray Black Black Purple Purple Black\nBlack Black Black Purple Purple Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nOutput:\nGray Black Black Green Green Black\nGray Black Black Green Red Black\nGray Black Black Red Green Black\nGray Black Black Purple Purple Black\nBlack Black Black Purple Purple Black\nBlack Black Black Green Green Black\nBlack Black Black Green Red Black\nBlack Black Black Red Green Black\nBlack Black Black Purple Purple Black\nBlack Black Black Green Green Black\nBlack Black Black Green Red Black\nBlack Black Black Red Green Black\nBlack Black Black Purple Purple Black\n```\n\n[Example 5]\n```\nInput:\nGray Black Pink Purple Black Black\nBlack Black Purple Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nOutput:\nGray Black Pink Purple Black Black\nBlack Black Purple Green Black Black\nBlack Black Pink Purple Black Black\nBlack Black Pink Purple Black Black\nBlack Black Pink Purple Black Black\nBlack Black Pink Purple Black Black\nBlack Black Pink Purple Black Black\n```\n\n***Test example:***\nInput:\nGray Black Yellow Yellow Yellow Black Black\nGray Black Black Purple Black Black Black\nGray Black Black Pink Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Black Yellow Yellow Yellow Black Black\nGray Black Black Purple Black Black Black\nGray Black Black Pink Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Green Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Black Red Green Black Green Yellow Black Yellow\nBlack Red Black Black Green Black Black Yellow Black\nRed Red Red Green Green Green Yellow Yellow Yellow\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Purple Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nBlack Green Green\nGreen Green Green\nBlack Green Black\nBlack Pink Pink\nPink Pink Pink\nBlack Pink Black\nBlack Purple Purple\nPurple Purple Purple\nBlack Purple Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Green Green Black Red Red\nGreen Green Black Red Red Black\nBlack Green Green Black Red Red\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Red Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Pink Black\nPink Pink Black\nBlack Black Pink\nBlack Red Black\nRed Red Black\nBlack Black Red\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Purple Black Green Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Red Red Black Purple Purple Black Green Green Black Pink Pink\nRed Red Black Purple Purple Black Green Green Black Pink Pink Black\nRed Red Black Purple Purple Black Green Green Black Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Blue Black Orange Orange Orange Black\nPurple Purple Black Black Gray Gray Black Black\nBlack Purple Purple Black Black Gray Gray Black\nBlack Blue Blue Black Purple Black Black Blue\nBlack Orange Black Blue Purple Black Black Black\nPurple Black Black Black Blue Black Orange Black\nBlack Purple Purple Purple Blue Black Black Black\nOutput:\nBlack Black Green Black Orange Orange Orange Black\nPurple Purple Black Black Gray Gray Black Black\nBlack Purple Purple Black Black Gray Gray Black\nBlack Green Green Black Green Black Black Green\nBlack Green Black Green Green Black Black Black\nGreen Black Black Black Green Black Green Black\nBlack Purple Purple Purple Green Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Blue Purple Blue Blue Blue Black\nBlue Gray Blue Orange Blue Blue Black Black\nBlack Purple Black Orange Orange Orange Purple Purple\nBlack Purple Purple Black Black Black Purple Black\nBlack Orange Black Black Purple Gray Gray Black\nBlue Black Black Black Black Black Black Blue\nBlue Black Purple Orange Orange Purple Black Black\nBlack Black Purple Orange Orange Black Purple Purple\nBlack Purple Purple Black Purple Black Purple Purple\nOutput:\nBlack Black Green Green Blue Blue Blue Black\nGreen Green Green Orange Blue Blue Black Black\nBlack Purple Black Orange Orange Orange Purple Purple\nBlack Purple Purple Black Black Black Purple Black\nBlack Green Black Black Green Green Green Black\nGreen Black Black Black Black Black Black Green\nGreen Black Purple Orange Orange Green Black Black\nBlack Black Purple Orange Orange Black Purple Purple\nBlack Purple Purple Black Green Black Purple Purple\n```\n\n[Example 3]\n```\nInput:\nBlue Orange Orange Blue Black Purple Black Gray\nBlue Orange Orange Blue Blue Black Blue Black\nPurple Purple Black Black Orange Orange Orange Orange\nBlack Blue Black Black Black Black Blue Blue\nGray Black Purple Black Blue Black Blue Blue\nOutput:\nGreen Orange Orange Blue Black Green Black Green\nGreen Orange Orange Blue Blue Black Green Black\nGreen Green Black Black Orange Orange Orange Orange\nBlack Green Black Black Black Black Blue Blue\nGreen Black Green Black Green Black Blue Blue\n```\n\n[Example 4]\n```\nInput:\nBlue Black Gray\nBlue Black Black\nOrange Orange Orange\nOutput:\nGreen Black Green\nGreen Black Black\nOrange Orange Orange\n```\n\n***Test example:***\nInput:\nBlack Gray Black Blue Gray Gray Black Gray\nBlue Blue Black Black Black Blue Blue Black\nBlack Orange Orange Black Black Black Black Gray\nBlue Blue Black Gray Black Blue Black Black\nBlack Blue Black Gray Gray Gray Black Blue\nBlack Orange Black Black Orange Black Black Orange\nBlue Black Blue Black Black Black Blue Orange\nBlack Black Blue Blue Black Blue Black Orange\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Green Black Green Green Green Black Green\nGreen Green Black Black Black Green Green Black\nBlack Green Green Black Black Black Black Green\nBlue Blue Black Gray Black Green Black Black\nBlack Blue Black Gray Gray Gray Black Green\nBlack Green Black Black Green Black Black Orange\nGreen Black Blue Black Black Black Green Orange\nBlack Black Blue Blue Black Green Black Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlue Blue Black Black Red Black Red Yellow Black Black Black Gray Black Black Black\nBlue Black Blue Black Red Black Red Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Red Red Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nPink Black Pink Black Green Green Green Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Green Black Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Green Black Green Yellow Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Gray Black Black Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Red Red Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nRed Black Red Black Pink Black Pink Yellow Black Gray Black Black Black Black Black\nRed Black Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nRed Red Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Green Yellow Black Black Black Black Black Black Black\nBlue Black Blue Black Black Green Black Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Green Black Green Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlue Blue Black Black Pink Black Pink Yellow Black Black Black Black Black Black Black\nBlue Black Blue Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nPink Black Pink Black Blue Blue Black Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Blue Black Blue Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Blue Black Yellow Black Black Black Black Black Black Black\nOutput:\nBlack Gray Black Black Black Black Black\nRed Red Black Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Green Green Green Green Black Black\nBlack Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nRed Black Red Black Pink Black Pink Yellow Black Black Black Black Gray Black Black\nRed Black Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nRed Red Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nPink Black Pink Black Blue Blue Black Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Blue Black Blue Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Blue Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nRed Black Red Black Pink Black Pink Yellow Black Black Black Black Black Black Black\nRed Black Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nRed Red Red Black Black Pink Black Yellow Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Gray Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlue Blue Black Black Blue Blue Black Yellow Black Black Gray Black Black Black Black\nBlue Black Blue Black Blue Black Blue Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nRed Black Red Black Blue Blue Black Yellow Black Black Black Black Black Black Black\nRed Black Red Black Blue Black Blue Yellow Black Black Black Black Black Black Black\nRed Red Red Black Black Blue Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nPink Black Pink Black Pink Black Pink Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nGreen Green Green Black Green Green Green Yellow Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Yellow Black Black Black Black Black Black Black\nGreen Black Green Black Green Black Green Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nPink Black Pink Black Red Black Red Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Red Black Red Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Red Red Red Yellow Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Gray Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nGreen Green Green Green Black Black Black\nPink Black Black Black Black Black Black\nPink Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Green Green Green Green Black Black\nRed Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Green Green Green Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Green Green Green Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Green Green Green Yellow Black Black Black Black\nPurple Purple Purple Purple Black Black Yellow Green Green Green Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray\nBlack Black Orange Black Black Black Green Black Black Black Black Black Black Black Black Black Gray\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Gray\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Gray\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Gray\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Gray\nBlack Black Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Gray\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\n```\n\n[Example 3]\n```\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Green Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Red Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Red Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nGray Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nGray Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nGray Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nGray Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black\nGray Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Black Black Black\nGray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Purple Purple Purple Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Purple Purple Purple Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Purple Purple Purple Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Purple Purple Purple Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Purple Purple Purple Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Red Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nPurple Purple Blue Purple Purple Blue Purple Purple Purple Blue Green Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue\nPurple Green Blue Green Purple Blue Purple Purple Purple Blue Green Blue Green\nBlue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Green Blue Green Purple Blue Purple Purple Purple Blue Purple Blue Purple\nPurple Purple Blue Purple Purple Blue Purple Purple Green Blue Green Blue Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue\nPurple Purple Blue Purple Purple Blue Purple Purple Green Blue Green Blue Purple\nPurple Purple Blue Purple Green Blue Green Purple Purple Blue Purple Blue Purple\nBlue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Blue Purple Green Blue Green Purple Purple Blue Purple Blue Purple\nPurple Purple Blue Purple Purple Blue Purple Purple Purple Blue Purple Blue Purple\nPurple Purple Blue Purple Purple Blue Purple Purple Purple Blue Purple Blue Purple\n```\n\n[Example 2]\n```\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nOutput:\nBrown Brown Brown Blue Brown Brown Blue Brown Brown\nBrown Brown Brown Blue Brown Brown Blue Brown Brown\nBrown Brown Green Blue Green Brown Blue Brown Brown\nBlue Blue Blue Red Blue Blue Blue Blue Blue\nBrown Brown Green Blue Green Brown Blue Brown Brown\nBrown Brown Brown Blue Brown Green Blue Green Brown\nBlue Blue Blue Blue Blue Blue Red Blue Blue\nBrown Brown Brown Blue Brown Green Blue Green Brown\nBrown Brown Brown Blue Brown Brown Blue Brown Brown\n```\n\n[Example 3]\n```\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOutput:\nOrange Orange Blue Orange Orange Orange Blue Green Blue Green Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Red Blue Blue\nOrange Orange Blue Orange Orange Orange Blue Green Blue Green Orange\nOrange Green Blue Green Orange Orange Blue Orange Blue Orange Orange\nBlue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Green Blue Green Orange Orange Blue Orange Blue Orange Orange\nOrange Orange Blue Orange Orange Orange Blue Orange Blue Orange Orange\nOrange Orange Blue Orange Orange Orange Blue Orange Blue Orange Orange\nOrange Orange Blue Orange Orange Green Blue Green Blue Orange Orange\nBlue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue\nOrange Orange Blue Orange Orange Green Blue Green Blue Orange Orange\n```\n\n***Test example:***\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Blue Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nPurple Purple Blue Purple Blue Purple Green Blue Green Purple Purple Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue\nPurple Purple Blue Purple Blue Purple Green Blue Green Purple Purple Purple Purple Blue\nPurple Green Blue Green Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nBlue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Green Blue Green Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nPurple Purple Blue Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nPurple Purple Blue Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nPurple Purple Blue Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Blue\nPurple Purple Blue Green Blue Green Purple Blue Purple Purple Purple Purple Purple Blue\nBlue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Blue Green Blue Green Purple Blue Purple Purple Purple Purple Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Gray Black Gray Gray Black Gray Gray Gray Black Black Black Gray Black Black Gray Black Gray Black\nBlack Black Black Gray Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Black Black Black\nBlack Gray Gray Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Black Gray Black\nBlack Black Gray Gray Black Gray Gray Black Black Gray Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Black Black Yellow Black Gray Black Gray Black Gray Black Black Black Gray Gray Black Gray\nBlack Black Gray Black Yellow Gray Yellow Gray Gray Black Gray Black Black Black Gray Yellow Gray Gray Gray\nGray Black Black Black Black Yellow Black Black Gray Gray Black Black Black Black Gray Yellow Yellow Gray Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Black Gray Black Gray Black Yellow Gray Black Black\nGray Gray Black Black Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Black Gray Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Yellow Gray Black Gray Gray Black Black Black Black Black\nGray Gray Gray Yellow Black Gray Black Gray Gray Yellow Yellow Gray Black Black Gray Gray Gray Gray Black\nBlack Black Yellow Gray Black Black Gray Gray Black Yellow Gray Black Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Gray Black Black Black Black Gray Black Gray Black Black Gray Gray\nGray Gray Black Gray Black Black Black Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black\nGray Gray Black Black Black Gray Black Black Black Black Black Black Black Gray Black Gray Black Black Gray\nGray Black Gray Black Gray Gray Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nOutput:\nBlack Gray Black Gray Gray Black Gray Gray Gray Black Black Black Gray Black Black Gray Black Gray Black\nBlack Black Black Gray Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Black Black Black\nBlack Gray Gray Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Black Gray Black\nBlack Black Gray Gray Black Gray Gray Black Black Gray Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Black Black Yellow Black Gray Black Gray Black Gray Black Black Black Gray Gray Black Gray\nBlack Black Gray Black Yellow Red Yellow Gray Gray Black Gray Black Black Black Gray Yellow Gray Gray Gray\nGray Black Black Black Black Yellow Black Black Gray Gray Black Black Black Black Red Yellow Yellow Gray Black\nGray Black Gray Gray Gray Gray Black Gray Black Black Black Gray Black Gray Black Yellow Gray Black Black\nGray Gray Black Black Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Black Gray Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Red Gray Black Black Black Black Gray Yellow Gray Black Gray Gray Black Black Black Black Black\nGray Red Red Yellow Black Gray Black Gray Red Yellow Yellow Gray Black Black Gray Gray Gray Gray Black\nBlack Black Yellow Gray Black Black Gray Gray Black Yellow Gray Black Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Gray Black Black Black Black Gray Black Gray Black Black Gray Gray\nGray Gray Black Gray Black Black Black Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black\nGray Gray Black Black Black Gray Black Black Black Black Black Black Black Gray Black Gray Black Black Gray\nGray Black Gray Black Gray Gray Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Gray Black Black Gray Gray Black Black Black Gray Gray Black Gray Black Black Gray\nGray Gray Black Black Black Black Gray Black Gray Black Black Gray Gray Gray Black Black\nBlack Black Yellow Gray Black Gray Black Gray Gray Black Black Yellow Gray Gray Gray Black\nBlack Gray Gray Yellow Black Black Gray Black Black Gray Black Black Yellow Black Black Gray\nBlack Black Yellow Gray Black Black Gray Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray\nGray Black Gray Black Black Yellow Gray Yellow Gray Gray Gray Gray Black Gray Black Black\nBlack Black Black Black Gray Gray Yellow Gray Gray Black Black Black Black Black Black Gray\nBlack Black Gray Gray Black Black Gray Black Gray Gray Black Gray Gray Yellow Gray Black\nBlack Black Gray Black Black Gray Black Black Black Gray Gray Black Gray Gray Yellow Gray\nGray Black Black Yellow Black Black Black Black Gray Black Black Black Black Gray Gray Gray\nGray Gray Yellow Gray Yellow Gray Black Gray Gray Gray Black Black Black Black Gray Gray\nGray Black Black Gray Gray Gray Black Gray Yellow Gray Yellow Black Gray Black Black Black\nGray Black Black Gray Gray Black Black Gray Black Yellow Black Black Black Gray Gray Black\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Gray Black Gray Gray Gray Gray Black Gray\nGray Black Gray Black Black Black Black Black Gray Black Gray Black Gray Gray Black Black\nGray Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black Black Gray\nOutput:\nBlack Gray Black Black Gray Gray Black Black Black Gray Gray Black Gray Black Black Gray\nGray Gray Black Black Black Black Gray Black Gray Black Black Gray Red Gray Black Black\nBlack Black Yellow Gray Black Gray Black Gray Gray Black Black Yellow Red Red Gray Black\nBlack Red Red Yellow Black Black Gray Black Black Gray Black Black Yellow Black Black Gray\nBlack Black Yellow Gray Black Black Gray Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Gray Red Gray Gray Black Gray Black Gray Gray Black Gray\nGray Black Gray Black Black Yellow Red Yellow Gray Gray Gray Gray Black Gray Black Black\nBlack Black Black Black Gray Gray Yellow Gray Gray Black Black Black Black Black Black Gray\nBlack Black Gray Gray Black Black Gray Black Gray Gray Black Gray Gray Yellow Gray Black\nBlack Black Gray Black Black Gray Black Black Black Gray Gray Black Red Red Yellow Gray\nGray Black Black Yellow Black Black Black Black Gray Black Black Black Black Red Gray Gray\nGray Gray Yellow Red Yellow Gray Black Gray Gray Red Black Black Black Black Gray Gray\nGray Black Black Red Gray Gray Black Gray Yellow Red Yellow Black Gray Black Black Black\nGray Black Black Gray Gray Black Black Gray Black Yellow Black Black Black Gray Gray Black\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Black Black\nGray Gray Gray Gray Black Black Black Black Gray Black Gray Gray Gray Gray Black Gray\nGray Black Gray Black Black Black Black Black Gray Black Gray Black Gray Gray Black Black\nGray Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black Black Gray\n```\n\n[Example 3]\n```\nInput:\nBlack Gray Gray Yellow Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Yellow Black Black Gray Gray Yellow Gray Black Black Gray Black Gray Gray\nGray Black Gray Black Black Black Yellow Yellow Gray Black Gray Gray Gray Black Gray\nGray Black Black Gray Black Gray Gray Yellow Black Black Black Gray Gray Black Gray\nGray Gray Black Gray Black Gray Black Black Black Gray Gray Black Black Gray Black\nBlack Gray Black Black Gray Black Gray Gray Black Black Gray Gray Gray Black Black\nGray Gray Black Gray Gray Black Black Gray Black Black Black Black Black Black Black\nGray Gray Yellow Black Gray Black Gray Black Black Gray Black Gray Black Gray Gray\nGray Yellow Gray Yellow Black Gray Gray Black Yellow Gray Yellow Gray Black Gray Black\nGray Gray Gray Black Black Gray Gray Black Black Yellow Black Gray Black Gray Gray\nBlack Black Black Gray Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Gray Black Black Gray Black Gray Black Black Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black Black Black Black Black Gray\nBlack Gray Black Black Gray Gray Gray Gray Black Gray Black Gray Black Black Black\nOutput:\nBlack Red Red Yellow Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Yellow Black Black Gray Gray Yellow Gray Black Black Gray Black Gray Gray\nGray Black Gray Black Black Black Yellow Yellow Red Black Gray Gray Gray Black Gray\nGray Black Black Gray Black Gray Gray Yellow Black Black Black Gray Gray Black Gray\nGray Gray Black Gray Black Gray Black Black Black Gray Gray Black Black Gray Black\nBlack Gray Black Black Gray Black Gray Gray Black Black Gray Gray Gray Black Black\nGray Gray Black Gray Gray Black Black Gray Black Black Black Black Black Black Black\nGray Gray Yellow Black Gray Black Gray Black Black Red Black Gray Black Gray Gray\nGray Yellow Red Yellow Black Gray Gray Black Yellow Red Yellow Gray Black Gray Black\nGray Gray Red Black Black Gray Gray Black Black Yellow Black Gray Black Gray Gray\nBlack Black Black Gray Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Gray Black Black Gray Black Gray Black Black Gray Gray Black Gray Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black Black Black Black Black Gray\nBlack Gray Black Black Gray Gray Gray Gray Black Gray Black Gray Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Gray Black Black Black Black Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Black Gray Gray Gray Black Gray Gray Black Gray Gray Gray\nBlack Black Gray Black Black Black Gray Gray Black Gray Black Black Gray Gray Gray\nGray Gray Gray Yellow Gray Black Black Black Yellow Yellow Gray Black Gray Black Gray\nBlack Gray Yellow Gray Black Black Black Black Black Gray Black Gray Black Black Gray\nGray Black Gray Black Gray Black Black Black Black Black Black Gray Gray Black Gray\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Gray Black Gray Gray Black Black Black Black\nGray Black Gray Black Black Gray Gray Gray Yellow Gray Black Black Black Gray Black\nBlack Yellow Gray Gray Black Black Gray Yellow Gray Gray Gray Gray Black Black Black\nBlack Gray Yellow Gray Black Gray Gray Gray Black Black Black Black Gray Black Gray\nBlack Black Gray Black Black Black Gray Gray Black Black Gray Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Gray Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Black\nOutput:\nBlack Black Gray Black Black Black Black Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Black Gray Gray Gray Black Gray Gray Black Gray Gray Gray\nBlack Black Red Black Black Black Gray Gray Black Red Black Black Gray Gray Gray\nGray Red Red Yellow Gray Black Black Black Yellow Yellow Red Black Gray Black Gray\nBlack Gray Yellow Gray Black Black Black Black Black Red Black Gray Black Black Gray\nGray Black Gray Black Gray Black Black Black Black Black Black Gray Gray Black Gray\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Red Black Gray Gray Black Black Black Black\nGray Black Red Black Black Gray Red Red Yellow Gray Black Black Black Gray Black\nBlack Yellow Red Red Black Black Gray Yellow Gray Gray Gray Gray Black Black Black\nBlack Gray Yellow Gray Black Gray Gray Gray Black Black Black Black Gray Black Gray\nBlack Black Gray Black Black Black Gray Gray Black Black Gray Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Gray Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Black\n```\n\n***Test example:***\nInput:\nBlack Black Gray Black Black Gray Gray Black Gray Black Gray Black Gray Gray Yellow Gray Black Black Gray\nBlack Gray Gray Black Gray Yellow Gray Gray Gray Black Gray Gray Black Yellow Gray Black Gray Gray Black\nGray Gray Gray Black Gray Gray Yellow Black Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray\nGray Gray Yellow Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Black Gray Gray\nGray Yellow Gray Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Gray Black Gray Black Black\nGray Gray Black Gray Black Black Black Gray Gray Black Gray Yellow Gray Black Black Gray Black Gray Gray\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray Yellow Yellow Gray Black Gray Gray Black Black Black\nGray Black Black Gray Gray Gray Gray Black Black Black Black Gray Black Gray Gray Black Black Gray Black\nBlack Gray Black Black Black Black Black Gray Black Black Gray Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray Black\nBlack Black Black Black Gray Gray Black Gray Black Gray Black Gray Black Yellow Black Black Black Gray Black\nGray Gray Yellow Gray Gray Gray Gray Gray Black Black Gray Black Yellow Gray Yellow Black Gray Black Gray\nGray Gray Gray Yellow Black Black Black Gray Gray Gray Black Gray Gray Yellow Black Gray Gray Gray Gray\nBlack Black Yellow Gray Black Black Black Black Black Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nGray Black Gray Black Black Gray Black Yellow Gray Black Black Gray Gray Gray Gray Gray Black Black Gray\nGray Gray Black Gray Gray Black Gray Gray Yellow Black Black Gray Gray Gray Black Gray Black Gray Gray\nGray Gray Gray Black Gray Gray Gray Yellow Black Gray Gray Black Gray Gray Black Black Gray Gray Black\nGray Gray Gray Gray Black Black Black Gray Black Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Gray Black Black Gray Red Black Gray Black Gray Black Red Red Yellow Gray Black Black Gray\nBlack Gray Gray Black Gray Yellow Red Red Gray Black Gray Gray Black Yellow Gray Black Gray Gray Black\nGray Red Gray Black Gray Gray Yellow Black Gray Gray Black Gray Gray Gray Gray Black Gray Black Gray\nRed Red Yellow Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Black Gray Gray\nGray Yellow Gray Gray Gray Gray Black Gray Black Black Gray Gray Black Gray Gray Black Gray Black Black\nGray Gray Black Gray Black Black Black Gray Gray Black Gray Yellow Gray Black Black Gray Black Gray Gray\nBlack Gray Gray Gray Gray Black Gray Gray Gray Gray Yellow Yellow Red Black Gray Gray Black Black Black\nGray Black Black Gray Gray Gray Gray Black Black Black Black Red Black Gray Gray Black Black Gray Black\nBlack Gray Black Black Black Black Black Gray Black Black Gray Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Gray Black\nBlack Black Black Black Gray Gray Black Gray Black Gray Black Gray Black Yellow Black Black Black Gray Black\nGray Gray Yellow Gray Gray Gray Gray Gray Black Black Gray Black Yellow Red Yellow Black Gray Black Gray\nGray Red Red Yellow Black Black Black Gray Gray Gray Black Gray Gray Yellow Black Gray Gray Gray Gray\nBlack Black Yellow Gray Black Black Black Black Black Gray Black Gray Black Gray Gray Gray Gray Gray Gray\nGray Black Gray Black Black Gray Black Yellow Gray Black Black Gray Gray Gray Gray Gray Black Black Gray\nGray Gray Black Gray Gray Black Red Red Yellow Black Black Gray Gray Gray Black Gray Black Gray Gray\nGray Gray Gray Black Gray Gray Gray Yellow Black Gray Gray Black Gray Gray Black Black Gray Gray Black\nGray Gray Gray Gray Black Black Black Gray Black Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Gray Gray Gray Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Black Red Red Red Red Red Red Red Black Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Red Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Blue Red Red Red Red Red Red Red Black Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Red Black Black Black Black Black Red Blue Blue Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Green Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Red Black Red Black Red Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Pink Pink Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Green Green Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Purple Purple Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Purple Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Red Red Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Red Yellow Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Red Red Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Black Yellow Black Black Black\nYellow Purple Purple Black Black Purple Purple Yellow Black Black Blue Yellow Black Blue Black Yellow Black Black Black Yellow Black Blue Black\nYellow Purple Purple Black Black Purple Purple Yellow Black Blue Blue Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black\nYellow Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Purple Purple Black Black Yellow Blue Blue Blue Yellow Black Blue Black Yellow Black Black Black Yellow Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Blue Black\nBlack Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Blue Blue Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Blue Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Blue Blue Black Yellow Black Blue Blue Yellow Black Blue Black\nBlack Black Black Yellow Black Blue Blue Yellow Black Blue Blue Yellow Blue Black Black Yellow Blue Black Black Yellow Black Blue Black\nBlack Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Blue\nBlack Blue Black Yellow Blue Black Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Blue Yellow Blue Black Black\nBlue Black Black Yellow Blue Black Black Yellow Black Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Black Blue Yellow Blue Blue Black\nBlue Blue Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Blue Black Yellow Blue Blue Black Yellow Blue Black Blue\nBlue Black Black Yellow Blue Blue Blue Yellow Black Blue Black Yellow Black Blue Blue Yellow Blue Blue Blue Yellow Black Black Black\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Yellow Purple Black Purple Yellow Black Blue Black Yellow Black Black Black\nYellow Purple Purple Black Black Purple Purple Yellow Black Black Blue Yellow Black Purple Black Yellow Black Black Black Yellow Black Blue Black\nYellow Purple Purple Black Black Purple Purple Yellow Black Blue Blue Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black\nYellow Black Black Purple Purple Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Purple Purple Black Black Yellow Purple Blue Purple Yellow Black Blue Black Yellow Black Black Black Yellow Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Purple Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Blue Black\nBlack Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Blue Blue Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Blue Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Black Black Yellow Black Black Black Yellow Blue Blue Black Yellow Black Blue Blue Yellow Black Blue Black\nBlack Black Black Yellow Black Blue Blue Yellow Black Blue Blue Yellow Blue Black Black Yellow Blue Black Black Yellow Black Blue Black\nBlack Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Blue\nBlack Blue Black Yellow Blue Black Blue Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Blue Yellow Blue Black Black\nBlue Black Black Yellow Blue Black Black Yellow Black Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Black Blue Yellow Blue Blue Black\nBlue Blue Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Blue Black Yellow Blue Blue Black Yellow Blue Black Blue\nBlue Black Black Yellow Blue Blue Blue Yellow Black Blue Black Yellow Black Blue Blue Yellow Blue Blue Blue Yellow Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Blue Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Black Black Blue Yellow Black Blue Black\nBlue Blue Black Yellow Black Blue Black Yellow Blue Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Black Black Blue\nBlue Blue Blue Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Blue Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Black Black\nBlack Black Black Yellow Black Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Blue\nBlack Blue Black Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Black Yellow Black Blue Black Yellow Blue Blue Blue Yellow Black Black Black Yellow Black Blue Black Yellow Black Blue Blue\nBlack Black Black Yellow Black Blue Black Yellow Black Black Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Blue\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Blue Yellow Black Black Blue Yellow Black Black Blue\nBlue Blue Blue Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Black Yellow Blue Blue Black Yellow Blue Black Black\nBlue Blue Black Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Black Blue Blue Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Black Blue Black Yellow Blue Black Blue Yellow Blue Black Blue Yellow Black Black Black Black Pink Pink Yellow\nBlue Blue Black Yellow Black Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Black Black Pink Pink Yellow\nBlack Black Black Yellow Black Black Blue Yellow Black Black Black Yellow Black Blue Blue Yellow Pink Pink Pink Pink Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Yellow\nBlack Black Blue Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Black Pink Pink Black Black Yellow\nBlue Blue Blue Yellow Black Black Black Yellow Blue Blue Blue Yellow Black Black Blue Yellow Black Black Pink Pink Black Black Yellow\nBlack Black Black Yellow Blue Black Blue Yellow Blue Blue Blue Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOutput:\nBlack Black Pink Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Black Black Blue Yellow Black Blue Black\nPink Pink Black Yellow Black Blue Black Yellow Blue Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Black Black Blue\nBlue Pink Blue Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Blue Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Black Black\nBlack Black Black Yellow Black Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Blue\nBlack Blue Black Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Black Yellow Black Blue Black Yellow Blue Blue Blue Yellow Black Black Black Yellow Black Blue Black Yellow Black Blue Blue\nBlack Black Black Yellow Black Blue Black Yellow Black Black Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Blue\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Pink Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Blue Yellow Black Black Pink Yellow Black Black Blue\nPink Pink Blue Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Black Black Yellow Pink Pink Black Yellow Blue Black Black\nBlue Pink Black Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Black Pink Blue Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Black Blue Black Yellow Blue Black Blue Yellow Blue Black Blue Yellow Black Black Black Black Pink Pink Yellow\nBlue Blue Black Yellow Black Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Black Black Black Pink Pink Yellow\nBlack Black Black Yellow Black Black Blue Yellow Black Black Black Yellow Black Blue Blue Yellow Pink Pink Pink Pink Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Yellow\nBlack Black Blue Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Black Pink Pink Black Black Yellow\nBlue Blue Blue Yellow Black Black Black Yellow Blue Blue Blue Yellow Black Black Blue Yellow Black Black Pink Pink Black Black Yellow\nBlack Black Black Yellow Blue Black Blue Yellow Blue Blue Blue Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```\n\n[Example 3]\n```\nInput:\nBlue Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Black\nBlue Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Blue\nBlack Blue Blue Yellow Blue Black Black Yellow Blue Black Blue Yellow Black Blue Black Yellow Black Black Black Yellow Blue Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Blue Blue Blue Yellow Black Black Blue Yellow Blue Black Black Yellow Blue Black Black Yellow Blue Black Black\nBlue Black Black Yellow Blue Blue Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Blue Black Blue Yellow Black Blue Black\nBlue Blue Black Yellow Black Blue Blue Yellow Blue Black Black Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Black\nBlue Blue Black Yellow Black Black Blue Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Blue Yellow Black Blue Black\nBlack Blue Blue Yellow Blue Blue Black Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Blue Black Blue Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Blue Black Black\nBlue Black Blue Yellow Blue Black Blue Yellow Black Blue Blue Yellow Black Black Blue Yellow Blue Black Black Yellow Blue Black Black\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Black Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Black Black Black Black Yellow Blue Blue Blue Yellow Blue Black Blue Yellow Black Black Blue Yellow Black Blue Blue\nYellow Green Green Black Black Black Black Yellow Blue Blue Blue Yellow Black Blue Blue Yellow Blue Blue Black Yellow Blue Black Black\nYellow Black Black Green Green Black Black Yellow Black Blue Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Black Black Black\nYellow Black Black Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Green Green Yellow Black Blue Blue Yellow Black Black Black Yellow Black Blue Black Yellow Black Blue Black\nYellow Black Black Black Black Green Green Yellow Blue Black Blue Yellow Black Black Black Yellow Blue Black Blue Yellow Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black\nOutput:\nGreen Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Black\nBlue Green Black Yellow Blue Black Black Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Blue\nBlack Blue Green Yellow Blue Black Black Yellow Blue Black Blue Yellow Black Blue Black Yellow Black Black Black Yellow Blue Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Green Blue Blue Yellow Black Black Blue Yellow Green Black Black Yellow Blue Black Black Yellow Blue Black Black\nBlue Black Black Yellow Blue Green Black Yellow Black Blue Black Yellow Blue Green Black Yellow Blue Black Blue Yellow Black Blue Black\nBlue Blue Black Yellow Black Blue Green Yellow Blue Black Black Yellow Black Black Green Yellow Blue Black Blue Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Black\nBlue Blue Black Yellow Black Black Blue Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Blue Yellow Black Blue Black\nBlack Blue Blue Yellow Blue Blue Black Yellow Black Blue Black Yellow Black Blue Black Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Yellow Blue Black Blue Yellow Black Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Blue Black Black\nBlue Black Blue Yellow Blue Black Blue Yellow Black Blue Blue Yellow Black Black Blue Yellow Blue Black Black Yellow Blue Black Black\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Black Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Black Black Black Black Yellow Blue Blue Blue Yellow Green Black Blue Yellow Black Black Blue Yellow Black Blue Blue\nYellow Green Green Black Black Black Black Yellow Blue Blue Blue Yellow Black Green Blue Yellow Blue Blue Black Yellow Blue Black Black\nYellow Black Black Green Green Black Black Yellow Black Blue Black Yellow Black Black Green Yellow Blue Blue Blue Yellow Black Black Black\nYellow Black Black Green Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Green Green Yellow Black Blue Blue Yellow Black Black Black Yellow Black Blue Black Yellow Black Blue Black\nYellow Black Black Black Black Green Green Yellow Blue Black Blue Yellow Black Black Black Yellow Blue Black Blue Yellow Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Blue Black Yellow Blue Blue Black\n```\n\n***Test example:***\nInput:\nBlue Black Blue Yellow Blue Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Black Black Black Black Orange Orange Yellow\nBlack Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Blue Black Yellow Black Black Black Black Orange Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow\nBlack Black Black Yellow Black Black Black Yellow Blue Blue Blue Yellow Black Black Black Yellow Orange Orange Orange Orange Orange Orange Yellow\nBlack Blue Black Yellow Blue Black Black Yellow Black Blue Blue Yellow Black Blue Blue Yellow Orange Orange Black Black Black Black Yellow\nBlue Black Black Yellow Blue Black Blue Yellow Blue Black Black Yellow Black Blue Black Yellow Orange Orange Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Black Black Blue Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Blue Black\nBlue Black Black Yellow Blue Blue Blue Yellow Black Black Black Yellow Blue Blue Black Yellow Blue Black Blue Yellow Blue Black Black\nBlack Black Black Yellow Blue Black Black Yellow Blue Blue Black Yellow Blue Black Blue Yellow Blue Black Black Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Blue Yellow Black Black Black Yellow Blue Black Blue Yellow Blue Blue Black Yellow Black Black Black Yellow Black Black Blue\nBlue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Black Black Black\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Blue Black Black Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Blue Black\nBlack Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Blue Blue Black Yellow Blue Black Black\nBlue Blue Black Yellow Black Black Black Yellow Blue Black Black Yellow Blue Black Blue Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Black Black Blue Yellow Blue Black Blue Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Black\nBlack Black Black Yellow Blue Blue Blue Yellow Blue Blue Blue Yellow Black Blue Blue Yellow Blue Black Blue Yellow Blue Blue Black\nBlack Black Black Yellow Blue Black Blue Yellow Blue Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Blue Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Black Blue Yellow Blue Black Black Yellow Black Blue Blue Yellow Black Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Black Black Black Black Orange Orange Yellow\nBlack Blue Black Yellow Black Black Black Yellow Black Black Black Yellow Blue Blue Black Yellow Black Black Black Black Orange Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow\nBlack Black Black Yellow Black Black Black Yellow Blue Blue Blue Yellow Black Black Black Yellow Orange Orange Orange Orange Orange Orange Yellow\nBlack Blue Black Yellow Blue Black Black Yellow Black Blue Blue Yellow Black Blue Blue Yellow Orange Orange Black Black Black Black Yellow\nBlue Black Black Yellow Blue Black Blue Yellow Blue Black Black Yellow Black Blue Black Yellow Orange Orange Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Black Yellow Black Black Orange Yellow Blue Blue Black Yellow Blue Blue Black Yellow Black Black Blue Yellow Blue Blue Black\nBlue Black Black Yellow Orange Orange Orange Yellow Black Black Black Yellow Blue Blue Black Yellow Blue Black Blue Yellow Blue Black Black\nBlack Black Black Yellow Orange Black Black Yellow Blue Blue Black Yellow Blue Black Blue Yellow Blue Black Black Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Black Blue Yellow Black Black Black Yellow Blue Black Blue Yellow Blue Blue Black Yellow Black Black Black Yellow Black Black Blue\nBlue Black Black Yellow Black Black Black Yellow Black Black Blue Yellow Blue Blue Blue Yellow Blue Blue Black Yellow Black Black Black\nBlack Blue Blue Yellow Black Blue Black Yellow Blue Black Blue Yellow Black Black Blue Yellow Blue Black Black Yellow Blue Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Blue Blue Black Yellow Blue Black Black Yellow Black Black Black Yellow Blue Black Black Yellow Black Blue Black\nBlack Black Blue Yellow Black Blue Black Yellow Blue Black Black Yellow Blue Black Black Yellow Blue Blue Black Yellow Blue Black Black\nBlue Blue Black Yellow Black Black Black Yellow Blue Black Black Yellow Blue Black Blue Yellow Black Black Black Yellow Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Black Black Orange Yellow Blue Black Orange Yellow Black Blue Black Yellow Blue Blue Black Yellow Black Blue Black\nBlack Black Black Yellow Orange Orange Orange Yellow Orange Orange Orange Yellow Black Blue Blue Yellow Blue Black Blue Yellow Blue Blue Black\nBlack Black Black Yellow Orange Black Blue Yellow Orange Blue Blue Yellow Black Black Black Yellow Blue Black Black Yellow Black Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Yellow Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Orange Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Brown\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Green Black Black Black Black Yellow Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Purple Black Black Black Red Black Black Black Black Orange Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black\nOutput:\nBlack Yellow Black Black Purple Brown Black Black Black Orange Black Black Black Black Brown Black Black\nBlack Black Black Black Black Brown Black Black Black Orange Black Black Black Black Brown Yellow Black\nBlack Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Brown Black Black\nBlack Black Green Black Black Red Black Black Black Yellow Yellow Black Black Black Brown Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Black Black Black Black Brown Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Black Black Black Black Pink Black Orange\nOrange Black Black Black Black Red Black Brown Black Yellow Black Black Black Black Pink Black Brown\nBlack Black Black Green Black Red Black Black Black Yellow Black Black Black Black Pink Black Black\nBlack Red Black Black Black Red Black Black Black Yellow Green Black Black Black Pink Yellow Black\nPink Black Black Black Black Red Black Black Black Yellow Black Black Black Black Pink Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Black Black Black Black Pink Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Yellow Black Black Black Pink Black Pink\nBlack Black Black Black Black Red Black Black Black Yellow Black Red Black Black Pink Black Black\nBlack Purple Black Black Black Red Black Black Black Yellow Orange Black Black Black Pink Black Black\nBlack Black Pink Black Black Gray Black Black Black Yellow Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black\n```\n\n[Example 2]\n```\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Pink\nBlack Black Black Purple Black Black Purple Black Black Black Black Red Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Pink Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black\nOutput:\nPurple Black Black Black Yellow Black Black Black Blue Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Blue Black Black Black Pink\nBlack Black Black Purple Yellow Black Purple Black Pink Black Black Red Black\nBlack Black Orange Black Yellow Black Black Black Pink Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Pink Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Pink Black Black Black Black\nBlack Black Black Black Yellow Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Purple Black Black Black Pink Blue Black Black Black\nBlack Black Black Black Purple Black Green Black Pink Black Black Black Black\nBlack Green Black Black Purple Black Black Black Pink Black Black Black Black\nBlack Black Black Black Purple Black Black Black Pink Black Black Black Red\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Black Black\nOutput:\nBlack Black Green Black Black Black Black Black Orange Black Black Black\nBlack Black Green Black Black Black Black Black Orange Black Black Black\nBlack Black Green Black Black Black Black Black Orange Black Black Black\nBlack Black Green Black Black Black Black Black Orange Black Black Black\nBlack Black Yellow Black Black Black Black Black Orange Black Black Black\nBlack Black Yellow Black Black Black Black Black Pink Black Black Black\nBlack Black Yellow Black Black Black Black Black Purple Black Black Black\nBlack Black Yellow Black Black Black Black Black Purple Black Black Black\nBlack Black Gray Black Black Black Black Black Purple Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nOutput:\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Red Green Black Brown Black Yellow Black Black Black Green Black Black Purple\nBlack Black Green Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black Brown Yellow Brown Black Black\nBlack Black Black Pink Black Black Black Black Blue Black Blue Black Pink Black Black Black Orange\nBlack Black Black Black Black Purple Black Black Black Black Blue Green Black Black Black Black Black\nBlack Black Black Black Orange Black Green Black Black Green Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Brown Black Black Black Orange Black Black Blue Red Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Red Black Black Black\nBlack Black Black Blue Black Black Black Black Pink Black Black Yellow Brown Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Red Green Black Brown Purple Yellow Black Green Black Green Black Black Purple\nBlack Black Green Black Black Purple Yellow Yellow Purple Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Purple Black Blue Purple Black Black Green Brown Yellow Brown Black Black\nBlack Black Black Pink Black Purple Black Black Blue Black Blue Green Pink Black Black Black Orange\nBlack Black Black Black Black Purple Black Black Blue Black Blue Green Black Black Black Black Black\nBlack Black Black Black Orange Gray Green Black Blue Green Black Orange Black Black Yellow Black Black\nBlack Black Yellow Black Black Gray Black Black Blue Black Black Orange Black Black Black Black Black\nBlack Black Black Red Black Gray Blue Brown Blue Black Black Orange Black Black Blue Red Black\nBlack Black Black Green Black Gray Black Black Blue Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Gray Black Black Blue Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Pink Black Brown Yellow Black Black Green Black Black\nBlack Black Black Black Black Gray Black Green Pink Black Black Yellow Black Red Black Black Black\nBlack Black Black Blue Black Gray Black Black Pink Black Black Yellow Brown Black Green Black Green\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray Black Black Blue Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Black Green Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Green Green Green Green Green Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Red Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Red Green Yellow Black Black Black Black Black\nBlack Black Yellow Green Green Yellow Black Black Black Yellow Green Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Red Black Green Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Yellow Green Green Green Red Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Red Green Green Yellow Black\nBlack Black Black Black Yellow Green Green Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Purple Purple Purple Purple Purple\nBlack Black Purple Black Purple Purple Purple Purple Black Black Purple Black Black Black Purple\nBlack Black Purple Purple Purple Black Black Black Black Black Purple Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Purple Purple\nBlack Black Purple Purple Purple Black Black Black Black Purple Black Black Black Purple Black\nBlack Black Purple Black Purple Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Purple Purple Purple Purple Yellow Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Yellow Red Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple Black Black Yellow Purple Purple Purple Yellow\nBlack Black Purple Black Red Purple Purple Yellow Black Black Purple Black Black Black Purple\nBlack Black Yellow Purple Yellow Black Black Black Black Black Yellow Red Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Yellow Purple Red Black Red Yellow\nBlack Black Yellow Purple Yellow Black Black Black Black Purple Black Black Black Purple Black\nBlack Black Purple Black Purple Black Black Black Black Yellow Purple Purple Purple Yellow Black\nBlack Black Yellow Purple Yellow Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Blue Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Red Blue Yellow Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Yellow Blue Red Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Red Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Red Black Black Red Yellow Black\nBlack Black Black Yellow Blue Blue Blue Blue Red Black Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Black Black Black Red Blue Red Black Blue Black\nBlack Black Black Yellow Blue Blue Blue Blue Blue Blue Yellow Black Yellow Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Green Black Black Black Black Black Black\nBlack Green Green Black Green Green Green Green Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Green Green Green Green Black\nBlack Green Green Green Black Black Green Green Green Green Black Green Black Black Green Black\nBlack Black Black Green Black Black Green Black Black Black Black Green Green Black Green Black\nBlack Green Green Green Black Black Green Green Black Black Black Black Green Black Green Black\nBlack Green Black Black Black Black Black Green Black Black Black Black Green Black Green Black\nBlack Green Black Black Green Green Green Green Black Black Green Green Green Black Green Black\nBlack Green Green Green Green Black Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Green Green Green Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Yellow Black Black Yellow Green Yellow Black Black Black Black Black Black\nBlack Yellow Red Black Red Green Green Red Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Yellow Green Green Yellow Black\nBlack Yellow Green Red Black Black Red Green Green Yellow Black Green Black Black Green Black\nBlack Black Black Green Black Black Green Black Black Black Black Yellow Red Black Green Black\nBlack Yellow Green Red Black Black Red Yellow Black Black Black Black Green Black Green Black\nBlack Green Black Black Black Black Black Green Black Black Black Black Green Black Green Black\nBlack Green Black Black Red Green Green Yellow Black Black Yellow Green Red Black Green Black\nBlack Yellow Green Green Yellow Black Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Yellow Green Yellow Black Black Black Black Yellow Green Green Green Yellow Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Yellow Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Green Green Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Red Red Black Red Red Black Black Black Black Black Black Black Gray Black\nGray Black Black Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Yellow Yellow Yellow Red Red Red Yellow Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Yellow Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Purple Purple Purple Purple Purple Purple Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Green Green Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Blue Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Blue Blue Black Black Black Black Black Blue Black Black Yellow Yellow Yellow Black Gray Black Black Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray\nBlack Black Black Black Gray Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Gray Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Gray Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Purple Yellow Yellow Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Gray Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Black Black Black Black Black\nBlack Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Gray Black Black Black Black Gray Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Blue Blue Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Purple Black Gray Black\nBlack Blue Blue Blue Black Black Blue Blue Black Blue Black Black Gray Black Black Black Purple Black Black Black\nBlack Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Purple Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Purple Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Yellow Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Purple Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Purple Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Yellow Yellow Yellow Yellow Purple Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Purple Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Green Green Blue Blue Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Green Green Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Black Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Purple Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Purple Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Black Black Purple Purple Purple Purple Purple Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Purple Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Black Black Purple Black\nBlack Green Black Black Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Purple Purple Black Black Purple Black Black Purple Black\nBlack Green Black Black Black Black Black Blue Blue Black Black Gray Black Blue Black Black Black Purple Purple Black Black Purple Purple Purple Purple Black\nBlack Green Black Black Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Gray Black Red Black Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Red Red Red Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Red Red Red Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Green Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Green Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Green Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Green Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Green Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Orange Orange Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Orange Orange Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Gray Black Gray Gray Black Gray Gray Black Black\nGray Gray Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Gray Gray Black Gray Gray Black Black\nGray Gray Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Gray Gray Black Gray Gray Black Black\nGray Gray Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nGray Gray Red Gray Gray Red Gray Gray Black Black\nGray Gray Red Gray Gray Red Gray Gray Black Black\nRed Red Red Red Red Red Red Red Blue Blue\nGray Gray Red Gray Gray Red Gray Gray Black Black\nGray Gray Red Gray Gray Red Gray Gray Black Black\nRed Red Red Red Red Red Red Red Blue Blue\nGray Gray Red Gray Gray Red Gray Gray Black Black\nGray Gray Red Gray Gray Red Gray Gray Black Black\nBlack Black Blue Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlue Blue Red Red Red Red Red Red Blue Blue\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlue Blue Red Red Red Red Red Red Blue Blue\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlack Black Gray Gray Red Red Gray Gray Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Black\nOutput:\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\nBlue Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Blue\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\nBlue Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Blue\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\nBlack Gray Gray Red Gray Gray Red Gray Gray Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Blue Blue Black Black Blue Black Black\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlue Red Red Red Red Red Red Red Red Red\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlue Red Red Red Red Red Red Red Red Red\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlack Gray Gray Red Red Gray Gray Red Gray Gray\nBlack Black Black Blue Blue Black Black Blue Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nYellow Yellow Pink\nGreen Green Green\nPink Pink Yellow\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Pink Yellow Yellow Pink Yellow Yellow Pink\nGreen Green Green Green Green Green Green Green Green\nPink Pink Yellow Pink Pink Yellow Pink Pink Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nRed Yellow Green\nRed Green Yellow\nRed Green Yellow\nOutput:\nRed Yellow Green Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\nRed Yellow Green Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\nRed Yellow Green Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\nRed Green Yellow Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlue Blue Blue\nPink Red Red\nRed Red Pink\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Red Red Pink Red Red Pink Red Red\nRed Red Pink Red Red Pink Red Red Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nGreen Blue Pink\nGreen Pink Blue\nGreen Blue Pink\nOutput:\nGreen Blue Pink Black Black Black Black Black Black\nGreen Pink Blue Black Black Black Black Black Black\nGreen Blue Pink Black Black Black Black Black Black\nGreen Blue Pink Black Black Black Black Black Black\nGreen Pink Blue Black Black Black Black Black Black\nGreen Blue Pink Black Black Black Black Black Black\nGreen Blue Pink Black Black Black Black Black Black\nGreen Pink Blue Black Black Black Black Black Black\nGreen Blue Pink Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nPink Pink Green\nYellow Yellow Green\nYellow Yellow Green\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Pink Pink Green\nBlack Black Black Black Black Black Yellow Yellow Green\nBlack Black Black Black Black Black Yellow Yellow Green\nBlack Black Black Black Black Black Pink Pink Green\nBlack Black Black Black Black Black Yellow Yellow Green\nBlack Black Black Black Black Black Yellow Yellow Green\nBlack Black Black Black Black Black Pink Pink Green\nBlack Black Black Black Black Black Yellow Yellow Green\nBlack Black Black Black Black Black Yellow Yellow Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Red Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Red Red Black Black Black Black Purple Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Red Black Black Black Black Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Black Red Black Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Red Red Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Red Black Black Red Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Red Red Red Red Black Black Purple Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Red Black Black Red Black Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Black Red Black Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Red Red Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Red Red Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Red Red Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Purple Black Black Red Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Purple Black Red Red Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Red Red Red Red Black Purple Purple Black Black Black Black Black Black\nBlack Purple Black Black Red Black Black Red Black Black Purple Black Black Black Black Black Black\nBlack Purple Purple Black Red Red Red Red Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Red Red Red Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Red Red Red Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Red Red Red Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Red Black Red Black Red Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Purple Purple Black Black Red Black Black Black Black Purple Purple Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Purple Black Black Red Red Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Purple Purple Black Black Red Black Black Black Black Purple Purple Black Black Black Black Purple Black Black Black Red Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Red Red Red Black Black Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Black Red Black Black Black Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Red Red Red Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Red Black Black Black Red Black Purple\nBlack Black Purple Purple Black Black Red Black Red Black Black Purple Purple Black Black Black Black Purple Black Black Red Red Red Black Black Purple\nBlack Black Purple Black Black Red Red Black Red Red Black Black Purple Black Black Black Black Purple Black Black Black Red Black Black Black Purple\nBlack Black Purple Purple Black Black Red Black Red Black Black Purple Purple Black Black Black Black Purple Black Black Black Red Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Red Red Red Black Black Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Black Red Black Black Black Red Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Red Red Red Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Red Red Red Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Red Black Black Black Red Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Gray Gray Black Black Black Black Black Gray\nGray Black Gray Black Gray Black Black Gray Black\nGray Gray Gray Black Black Black Gray Black Black\nOutput:\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Yellow Yellow Yellow Brown Brown Brown\n```\n\n[Example 2]\n```\nInput:\nBlack Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black\nGray Black Black Gray Gray Gray Black Black Black\nOutput:\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow\n```\n\n[Example 3]\n```\nInput:\nGray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray\nOutput:\nPink Pink Pink Green Green Green Blue Blue Blue\nPink Pink Pink Green Green Green Blue Blue Blue\nPink Pink Pink Green Green Green Blue Blue Blue\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Gray Gray Gray Gray Gray Gray\nBlack Gray Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Gray Gray Gray\nOutput:\nYellow Yellow Yellow Pink Pink Pink Green Green Green\nYellow Yellow Yellow Pink Pink Pink Green Green Green\nYellow Yellow Yellow Pink Pink Pink Green Green Green\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Blue Blue Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Brown Brown Brown Pink Pink Pink\nBlue Blue Blue Brown Brown Brown Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Red Red Black Black Black Black Purple Black Black Black Black\nBlack Red Red Black Black Black Black Purple Black Black Black Black\nGreen Red Red Green Green Green Green Purple Green Green Green Green\nGreen Red Red Green Green Green Green Purple Green Green Green Green\nBlack Red Red Black Black Black Black Purple Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Red Red Black Black Black Black Purple Black Black Black Black\nBlack Red Red Black Black Black Black Purple Black Black Black Black\nOutput:\nPink\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nGreen Green Green Yellow Yellow Green Green Green Purple Green Green\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nBlack Black Black Yellow Yellow Black Black Black Purple Black Black\nOutput:\nPurple\n```\n\n[Example 3]\n```\nInput:\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nBlue Red Red Blue Pink Blue Blue Purple Purple Blue Blue\nBlue Red Red Blue Pink Blue Blue Purple Purple Blue Blue\nBlue Red Red Blue Pink Blue Blue Purple Purple Blue Blue\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nYellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nBlack Red Red Black Pink Black Black Purple Purple Black Black\nOutput:\nPink\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nRed Red Red Red Green Green Red Red Gray Red Red Red\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nBlack Black Black Black Green Green Black Black Gray Black Black Black\nOutput:\nBlue\n```\n\n[Example 5]\n```\nInput:\nBlack Blue Black\nGreen Green Green\nBlack Blue Black\nOutput:\nGreen\n```\n\n***Test example:***\nInput:\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlue Blue Blue Green Green Blue Blue Blue Blue Orange Blue Blue Blue\nBlue Blue Blue Green Green Blue Blue Blue Blue Orange Blue Blue Blue\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\nBlack Black Black Green Green Black Black Black Black Orange Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nOrange\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Orange Orange Black Orange Orange Red Orange Black Black Black Black Orange\nOrange Black Black Black Black Orange Red Orange Black Black Orange Orange Black\nOrange Black Orange Orange Black Orange Red Orange Black Black Orange Black Black\nBlack Orange Black Black Black Black Red Orange Black Orange Black Orange Black\nOrange Orange Black Orange Orange Black Red Black Orange Black Black Orange Black\nOutput:\nBlue Blue Blue Black Blue Blue\nBlue Black Black Blue Blue Blue\nBlue Black Blue Blue Black Blue\nBlue Blue Blue Black Blue Black\nBlue Blue Black Blue Blue Black\n```\n\n[Example 2]\n```\nInput:\nBlack Orange Orange Orange Black Orange Red Orange Orange Black Orange Black Orange\nBlack Black Black Orange Black Orange Red Black Orange Orange Orange Black Orange\nOrange Black Orange Black Black Black Red Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Red Orange Orange Black Black Orange Orange\nBlack Orange Orange Black Orange Orange Red Orange Orange Orange Black Black Orange\nOutput:\nBlue Blue Blue Blue Black Blue\nBlack Blue Blue Blue Black Blue\nBlue Blue Blue Black Black Black\nBlue Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Blue\n```\n\n[Example 3]\n```\nInput:\nOrange Black Orange Orange Black Orange Red Orange Orange Black Black Black Black\nOrange Black Black Orange Black Black Red Black Black Black Orange Black Black\nBlack Orange Orange Black Black Black Red Black Black Orange Orange Black Black\nBlack Orange Orange Orange Orange Black Red Orange Black Black Black Orange Black\nOrange Black Orange Black Orange Orange Red Orange Orange Orange Orange Orange Orange\nOutput:\nBlue Blue Blue Blue Black Blue\nBlue Black Black Blue Black Black\nBlack Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue\n```\n\n[Example 4]\n```\nInput:\nOrange Orange Black Black Orange Black Red Black Orange Orange Orange Orange Orange\nOrange Black Black Black Orange Orange Red Orange Black Black Orange Orange Orange\nBlack Orange Black Black Orange Black Red Black Black Black Black Black Black\nOrange Orange Black Orange Orange Orange Red Orange Black Orange Black Black Black\nOrange Orange Black Orange Orange Black Red Orange Orange Orange Black Black Black\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Black Black Blue Blue Blue\nBlack Blue Black Black Blue Black\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black\n```\n\n***Test example:***\nInput:\nOrange Orange Black Black Black Black Red Black Orange Orange Black Black Orange\nBlack Orange Black Black Black Black Red Orange Black Black Orange Black Orange\nOrange Orange Orange Black Black Orange Red Black Orange Orange Orange Black Orange\nBlack Black Black Black Black Black Red Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Red Black Orange Orange Black Orange Orange\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Blue Blue Black Black Blue\nBlue Blue Black Blue Black Blue\nBlue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Red Red Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Red Red Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Green Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Green Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Black\nBlack Green\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Blue Blue Purple Purple Purple Green Green Purple Purple Purple Purple Black\nBlack Purple Purple Blue Blue Purple Purple Purple Green Green Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlue Green\nBlack Red\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Gray Gray Purple Purple Yellow Yellow Purple Purple Black Black Black Black Black Black\nBlack Purple Gray Gray Purple Purple Yellow Yellow Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Green Green Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Green Green Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGray Yellow\nGreen Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Red Red Purple Purple Purple Purple Pink Pink Purple Purple Black\nBlack Black Purple Purple Red Red Purple Purple Purple Purple Pink Pink Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Blue Blue Purple Purple Purple Purple Green Green Purple Purple Black\nBlack Black Purple Purple Blue Blue Purple Purple Purple Purple Green Green Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nRed Pink\nBlue Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Black Black Purple Purple Black Black\nBlack Purple Black Purple Black Black Purple Black Black Black Purple Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Red Black Black Black Red Black\nBlack Black Red Black Black Red Black Red Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Black Black\nBlack Black Purple Black Black Purple Purple Purple Black Purple Purple Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Black Purple Purple Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Purple Black\nBlack Black Purple Black Black Purple Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Red Red Black\nBlack Red Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Red Red Red Black Red Red Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Purple Black Purple Black\nBlack Black Black Black Black Black Purple Purple Black\nBlack Black Purple Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Purple Black Black Black\nBlack Black Purple Purple Black Purple Purple Purple Black\nBlack Purple Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Red Red Red Black Red Black Black Black\nBlack Red Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Red Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Purple Black Black Purple Black Black\nBlack Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Purple Black Purple Black Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Black Black Purple Purple Purple Black\nBlack Purple Purple Purple Black Black Purple Black Black Purple Black Purple Black\nBlack Black Purple Purple Black Purple Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Purple Black Purple Black Black Black Purple Black\nBlack Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Black\nBlack Black Purple Black Black Black Purple Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Black Black Red Black Red Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Red Black Black\nBlack Red Black Black Black Black Red Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Red Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Black Red Red Red\nRed Black Red Black Red Red Red\nRed Red Red Black Red Red Red\nBlack Black Black Black Black Black Black\nRed Black Red Black Red Black Black\nBlack Red Black Black Black Red Red\nRed Red Red Black Red Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Black Red Black Red Red Black\nBlack Red Red Black Red Black Red\nBlack Black Red Black Red Red Black\nBlack Black Black Black Black Black Black\nRed Red Red Black Red Red Black\nRed Black Red Black Black Red Black\nRed Red Red Black Red Black Red\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Red Black Black Red Black Red\nRed Black Red Black Black Red Black\nBlack Red Black Black Red Red Black\nBlack Black Black Black Black Black Black\nRed Black Red Black Black Red Black\nRed Red Black Black Red Red Red\nBlack Black Red Black Black Red Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Red Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nRed Black Red Black Black Black Red\nBlack Red Black Black Black Red Red\nRed Red Red Black Red Black Red\nBlack Black Black Black Black Black Black\nRed Black Red Black Red Red Red\nRed Red Red Black Red Black Red\nRed Black Black Black Red Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Gray Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Green Black Purple Black Pink Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Yellow\nBlack Purple Yellow Black Black Black Black Black Black Purple Black Brown Black\nOrange Purple Black Black Pink Black Black Orange Gray Purple Yellow Purple Green\nRed Purple Yellow Red Black Black Black Purple Black Purple Black Black Black\nBlack Purple Brown Blue Brown Pink Black Black Black Purple Black Black Orange\nBlue Purple Black Black Black Black Purple Black Black Purple Black Black Black\nBlack Purple Black Black Black Black Yellow Black Yellow Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Orange Purple Black Pink Black Black Black Green\nGray Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Black Black Pink Black Orange Orange Orange Orange Orange\nBlack Black Red Red Yellow Black Black Black Orange Black Black Black Orange\nPurple Purple Black Green Black Black Black Blue Orange Black Purple Yellow Orange\nOrange Black Black Black Black Gray Black Gray Orange Black Pink Purple Orange\nBlack Black Orange Black Black Pink Black Black Orange Orange Orange Orange Orange\nGreen Black Black Black Black Blue Black Red Black Black Black Black Red\nBlack Black Black Blue Black Black Black Yellow Black Black Black Brown Blue\nBlack Black Black Purple Black Purple Pink Black Black Black Black Black Blue\nOutput:\nYellow Black Black Black Black Black Black\nBlack Black Pink Black Black Orange Gray\nYellow Red Black Black Black Purple Black\nBrown Blue Brown Pink Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Yellow Black Yellow\n```\n\n[Example 2]\n```\nInput:\nBlack Green Black Brown Black Black Black Brown Gray Black Yellow Black Black Black Black Gray Black Black Black Yellow Black Purple Black\nBlack Green Black Black Black Black Black Brown Black Black Brown Black Green Black Blue Blue Black Black Black Black Black Black Red\nBlack Black Purple Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Red Purple Black Black Orange Black Black Black Red Black Black Blue Black Black Yellow Black Orange Brown Purple\nBlack Black Orange Black Red Black Blue Gray Green Black Pink Gray Red Gray Black Black Blue Blue Gray Black Black Black Black\nBrown Black Black Purple Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Purple Black Orange\nPurple Black Yellow Black Red Black Brown Gray Black Blue Black Black Red Black Black Black Black Black Black Black Black Black Brown\nBlue Black Black Black Red Green Black Black Black Red Black Black Red Black Black Pink Yellow Yellow Purple Black Black Black Black\nPurple Black Black Black Red Black Black Blue Yellow Black Black Purple Red Black Black Black Yellow Red Orange Black Brown Blue Pink\nBlack Yellow Yellow Purple Red Red Red Red Red Red Red Red Red Black Black Red Black Purple Black Green Black Pink Black\nBlack Orange Black Black Black Purple Black Green Orange Black Brown Black Black Green Black Black Green Black Black Black Black Blue Black\nBlack Black Black Black Black Red Gray Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Green Green Green Green Black Black Yellow Black Yellow Pink Black Black Black Blue Blue Black Black Pink Black Yellow\nPink Black Green Black Black Black Green Black Black Black Black Yellow Black Black Pink Black Pink Black Yellow Black Black Black Yellow\nBlack Black Green Orange Brown Black Green Black Black Black Pink Yellow Black Black Green Black Black Purple Black Orange Black Gray Yellow\nBlack Orange Green Black Black Black Green Black Red Purple Black Yellow Yellow Black Green Yellow Black Green Black Black Purple Black Yellow\nBlack Purple Green Black Brown Black Green Black Green Green Black Yellow Black Black Green Orange Orange Gray Black Black Blue Black Yellow\nBlack Black Green Green Green Green Green Pink Gray Black Black Yellow Green Black Black Black Black Brown Black Black Black Black Yellow\nBlack Brown Red Black Black Red Green Black Black Black Brown Yellow Black Black Black Gray Black Black Black Black Black Black Yellow\nBlack Gray Purple Black Black Black Blue Black Pink Black Brown Yellow Green Black Black Black Black Black Black Brown Black Black Yellow\nBrown Black Black Black Black Black Black Black Green Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOutput:\nPink Black Black Black Blue Blue Black Black Pink Black\nBlack Black Pink Black Pink Black Yellow Black Black Black\nBlack Black Green Black Black Purple Black Orange Black Gray\nYellow Black Green Yellow Black Green Black Black Purple Black\nBlack Black Green Orange Orange Gray Black Black Blue Black\nGreen Black Black Black Black Brown Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Brown Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Red Black Black Black Black Black Black Black Green Black Red Blue Pink Black Black Red Black Blue Pink Black\nBlack Black Black Black Black Black Yellow Black Black Brown Black Black Green Black Black Green Black Red Black Black Red\nBlack Green Black Black Purple Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Red Black Black Black Orange\nGray Black Orange Black Black Pink Blue Blue Black Black Black Black Black Blue Black Pink Black Black Black Red Black\nBlack Black Yellow Black Gray Black Black Blue Black Pink Black Yellow Black Blue Black Green Black Black Black Gray Black\nBlack Brown Black Black Black Black Black Blue Black Black Black Gray Pink Blue Black Black Black Black Yellow Black Black\nBlack Black Gray Black Pink Orange Black Blue Black Brown Black Black Black Blue Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Purple Black Gray Black Black Black Black\nBlack Green Black Black Black Black Blue Gray Orange Black Black Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Blue Black Black Black Yellow Black Black Black Black Blue Black Black Black Black Yellow Green Black Black\nBlack Black Orange Black Blue Black Black Black Black Black Black Black Black Brown Purple Green Black Black Red Black Black\nBlack Black Black Black Black Black Brown Blue Black Black Black Orange Orange Black Black Orange Black Orange Black Black Black\nBlack Black Pink Black Orange Black Orange Orange Orange Orange Orange Orange Brown Green Pink Red Black Black Gray Black Green\nBlack Gray Black Black Black Red Orange Black Red Purple Black Orange Black Gray Purple Black Black Black Green Black Pink\nBlack Black Black Pink Black Pink Orange Yellow Black Black Purple Orange Gray Gray Black Pink Black Black Orange Black Black\nBlack Purple Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Brown Black Black Black Green Red Black Gray Black\nBlack Brown Black Black Black Red Black Red Black Gray Pink Yellow Black Black Black Black Black Yellow Orange Black Black\nRed Black Black Black Black Black Brown Black Black Gray Black Black Black Black Black Purple Black Black Purple Black Orange\nBlack Pink Green Black Black Black Black Brown Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Brown Orange Black Black Black Red Green Purple Gray Black Black Black Black\nBrown Pink Black Red Black Yellow Black Black Black Orange Black Black Black Pink Black Black Black Black Gray Black Black\nOutput:\nBlack Black Black Black Black\nBlack Pink Black Yellow Black\nBlack Black Black Gray Pink\nBlack Brown Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Pink Black Black Black Black Red Yellow Black Black Black Brown Black\nBlack Black Green Green Black Black Black Black Red Black Black Black Black Black Orange Black Black Black Black Gray Black Black Yellow Black Yellow\nBlack Black Black Red Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Pink Black\nBlack Black Black Pink Black Black Black Green Black Black Black Black Black Green Gray Yellow Black Black Green Black Black Black Black Orange Black\nBlack Black Black Black Purple Black Black Green Black Brown Black Black Black Black Black Black Pink Orange Green Black Green Black Black Brown Black\nPink Green Black Black Black Black Black Green Purple Black Black Black Black Black Black Black Black Black Green Black Gray Black Red Orange Black\nOrange Black Black Purple Green Black Black Green Black Green Brown Black Black Black Pink Orange Black Black Green Black Black Black Black Black Black\nGray Orange Black Black Purple Purple Orange Green Black Black Black Black Blue Black Black Black Black Blue Green Yellow Black Black Red Black Blue\nOrange Black Black Black Brown Black Black Green Black Blue Black Black Black Purple Black Black Yellow Black Green Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Black Black Black Pink Black Black Black Green Black Red Green Black Green Green Black Black Red\nBlack Black Orange Black Black Black Orange Green Black Black Black Black Black Gray Black Black Blue Black Green Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Green Orange Black Black Black Black Black Black Black Purple Blue Green Yellow Black Black Pink Black Purple\nBlack Black Black Green Black Yellow Red Green Black Black Black Black Black Yellow Black Red Black Black Green Black Brown Brown Black Black Brown\nGray Black Blue Black Black Black Yellow Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Green Black Black Orange Black Gray Black Green Black Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black Gray Black Black Red Black Green Black Black Blue Black Black Black Black Black Pink\nYellow Black Black Black Orange Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray Black Black Orange Orange Orange Orange Orange Orange\nBrown Black Blue Black Black Black Purple Black Black Blue Black Black Gray Purple Purple Black Black Black Black Orange Black Black Purple Black Orange\nRed Black Black Black Pink Red Purple Black Black Brown Black Black Black Purple Gray Black Black Black Black Orange Black Black Black Black Orange\nPurple Black Blue Black Purple Black Purple Black Orange Black Black Pink Black Purple Black Black Black Black Orange Orange Black Black Black Red Orange\nGray Black Black Black Green Black Purple Black Black Black Black Gray Pink Purple Yellow Black Purple Black Gray Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Yellow Black Purple Black Brown Black Black Black Black Purple Black Black Black Black Black Black Red Purple Black Black Red\nPurple Black Black Black Black Black Purple Black Black Red Black Red Black Purple Black Pink Black Black Black Green Black Green Black Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Green Black Black Gray Blue Black Black Black Black\nBlack Black Pink Black Brown Pink Black Gray Brown Black Black Black Black Black Black Blue Black Orange Black Blue Gray Green Black Black Pink\nGray Black Black Black Purple Purple Black Brown Purple Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Red Black\nPurple Black Black Black Green Black Black Black Black Gray Black Black Black Black Black Black Black Black Yellow Orange Black Red Gray Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Green Gray Yellow Black Black\nBlack Brown Black Black Black Black Black Black Pink Orange\nPurple Black Black Black Black Black Black Black Black Black\nBlack Green Brown Black Black Black Pink Orange Black Black\nBlack Black Black Black Blue Black Black Black Black Blue\nBlack Blue Black Black Black Purple Black Black Yellow Black\nBlack Black Black Pink Black Black Black Green Black Red\nBlack Black Black Black Black Gray Black Black Blue Black\nOrange Black Black Black Black Black Black Black Purple Blue\nBlack Black Black Black Black Yellow Black Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Gray Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Red Black Gray Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Red Gray Orange Black Black Black Black Black Black Black Black Black Black\nRed Red Red Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Green Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Blue Red Black Black Black Black\nBlack Black Black Red Pink Red Black Black Black Black\nBlack Black Black Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Green Black Black Blue Black Black Red Black Black\nBlack Black Green Black Blue Black Red Black Black Black\nBlack Black Black Green Blue Red Black Black Black Black\nRed Red Red Red Pink Red Red Red Red Red\nBlack Black Black Red Orange Orange Black Black Black Black\nBlack Black Red Black Orange Black Orange Black Black Black\nBlack Red Black Black Orange Black Black Orange Black Black\nRed Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Orange Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Red Red Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Orange Blue Black Black Black Black Black Black\nBlack Black Black Green Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Pink Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Pink Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Pink Blue Blue Black Black Black Black Black Black\nPink Pink Pink Pink Orange Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Blue Black Black Black Black Black Black\nBlack Black Green Black Green Black Blue Black Black Black Black Black\nBlack Green Black Black Green Black Black Blue Black Black Black Black\nGreen Black Black Black Green Black Black Black Blue Black Black Black\nBlack Black Black Black Green Black Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black Black Black Black Blue Black\nBlack Black Black Black Green Black Black Black Black Black Black Blue\nBlack Black Black Black Green Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Red Red Black Gray Black Black Black Black Black Black Black\nBlack Red Red Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Black Black Gray Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Red Red Red Black Red Red Black Gray Gray Black Black\nBlack Red Red Black Black Red Red Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Black Blue Black Black Blue Black Black Blue Black Blue Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Gray Gray Gray Black Gray Black\nGray Gray Black Gray Gray Black Gray Gray Gray Black Gray Black\nGray Gray Black Black Gray Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Black Blue Black Black Blue Black Black Blue Black Blue Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Gray Black Black Red Red Red Black Red Black\nRed Red Black Gray Gray Black Red Red Red Black Red Black\nRed Red Black Black Gray Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Blue Blue Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Black Blue Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Gray\nBlack Gray Black Black Gray Gray Gray Black Gray Black Black Gray\nGray Gray Gray Black Black Gray Black Black Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Blue Blue Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Black Blue Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Gray Black Black Gray\nBlack Red Black Black Red Red Red Black Gray Black Black Gray\nRed Red Red Black Black Red Black Black Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Blue Black Blue Blue Black Black Blue Black Blue Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Gray Gray Black Black Black Black Gray Black\nBlack Gray Gray Black Gray Black Black Gray Gray Black Gray Black\nBlack Black Gray Black Gray Black Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Black Black\nBlack Blue Black Blue Blue Black Black Blue Black Blue Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Red Black Black Red Red Black Black Black Black Red Black\nBlack Red Red Black Red Black Black Gray Gray Black Red Black\nBlack Black Red Black Red Black Black Gray Gray Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Red Red Red Red Red Red Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Gray Gray Gray Gray Black Black\nBlack Black Green Green Green Green Green Green Green Gray Gray Gray Gray Black Black\nBlack Black Green Green Green Green Green Green Green Gray Gray Gray Gray Black Black\nBlack Black Green Green Green Green Green Green Green Gray Gray Gray Gray Black Black\nBlack Black Green Green Green Green Green Green Green Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Yellow Black Black Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow\nBlack Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Blue Blue Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Pink Black Black Blue Black Black Black Black Black Black Black\nBlack Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nPink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nOrange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Orange Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Black\nBlack Black Black Black Black Black Black Black Orange Black Black Green Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Gray Gray Blue Blue Blue Blue Blue Blue Blue Black\nBlack Pink Pink Pink Pink Gray Gray Blue Blue Blue Blue Blue Blue Blue Black\nBlack Pink Pink Pink Pink Gray Gray Blue Blue Blue Blue Blue Blue Blue Black\nBlack Pink Pink Pink Pink Gray Gray Blue Blue Blue Blue Blue Blue Blue Black\nBlack Pink Pink Pink Pink Gray Gray Blue Blue Blue Blue Blue Blue Blue Black\nBlack Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Black Black Black Yellow Gray Pink Blue Red Green\nPink Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Black Black Black Yellow Gray Pink Blue Red Green\nPink Blue Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Black Black Black Yellow Gray Pink Blue Red Green\nPink Blue Red Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Black Black Black Black Pink Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Black Black Black Black Pink Blue Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Black Black Black Black Pink Blue Red Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Black Black Black Black Pink Blue Red Green Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Black Black Black Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Blue Red Green Yellow Gray Pink Blue Red Green\nPink Black Black Black Yellow Gray Pink Blue Red Black Black Black Black Black Red Red Green Yellow Gray Pink Blue Red Green\nPink Black Black Black Yellow Gray Pink Blue Red Black Black Black Black Black Red Green Green Yellow Gray Pink Blue Red Green\nPink Black Black Black Yellow Gray Pink Blue Red Black Black Black Black Black Red Green Yellow Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Black Black Black Black Black Red Green Yellow Gray Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Black Black Black Red Green Yellow Gray Pink Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Black Black Black Red Green Yellow Gray Pink Blue Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Black Black Black Red Green Yellow Gray Pink Blue Red Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Green\nOutput:\nGray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Pink Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Blue Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Red Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Green Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Yellow Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Gray Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Pink Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Blue Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Red Green\nPink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Yellow Gray Pink Blue Red Green Green\n```\n\n[Example 2]\n```\nInput:\nGreen Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Orange Blue Red Green Yellow Gray Pink Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Blue Red Green Yellow Gray Pink Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Red Green Yellow Gray Pink Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Black Black Black Black Black Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Black Black Black Black Black Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Pink Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Orange Blue Red Black Black Black Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Black Black Black Black Black Pink Orange Blue Blue Red Black Black Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Black Black Black Black Black Pink Orange Blue Red Red Black Black Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Black Black Black Black Black Pink Orange Blue Red Green Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Yellow\nOutput:\nGreen Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Red Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Green Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Yellow Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Gray Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Pink Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Orange Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Blue Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Red Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Green Yellow\nYellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Gray Pink Orange Blue Red Green Yellow Yellow\n```\n\n[Example 3]\n```\nInput:\nGray Pink Orange Purple Black Black Black Black Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Pink Orange Purple Black Black Black Black Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Orange Purple Black Black Black Black Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Purple Black Black Black Black Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Black Black Black Black Yellow Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Black Black Black Black Yellow Gray Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Black Black Black Black Yellow Gray Pink Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Black Black Black Black Yellow Gray Pink Orange Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Purple Blue Red Green Black Black Black Black Purple Blue Red Green\nPink Orange Purple Blue Black Black Yellow Gray Pink Orange Purple Blue Blue Red Green Black Black Black Black Purple Blue Red Green\nPink Orange Purple Blue Black Black Yellow Gray Pink Orange Purple Blue Red Red Green Black Black Black Black Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Green Black Black Black Black Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Pink Orange Black Black Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Orange Black Black Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Black Black Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Black Black Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Black Black Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Green\nOutput:\nGray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Red Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Green Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Yellow Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Gray Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Pink Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Orange Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Purple Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Blue Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Red Green\nPink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Yellow Gray Pink Orange Purple Blue Red Green Green\n```\n\n***Test example:***\nInput:\nRed Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nBlack Black Black Black Black Black Black Black Black Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nBlack Black Black Black Black Black Black Black Black Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Black Black Black Black Black Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Black Black Black Black Black Black Black Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Black Black Black Black Black Black Black Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Black Black Black Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Black Black Black Yellow Gray Pink Orange Purple Brown Blue Black Black Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Yellow Gray Pink Orange Purple Brown Blue Black Black Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Gray Pink Orange Purple Brown Blue Black Black Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Black Black Black Black Black Orange Purple Brown Blue Black Black Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Black Black Black Black Black Orange Purple Brown Blue Black Black Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Black Black Black Black Black Purple Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Black Black Black Black Black Purple Brown Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Pink\n```output",
"role": "user"
},
{
"content": "Output:\nRed Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Pink Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Orange Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Purple Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Brown Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Blue Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Red Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Green Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Yellow Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Gray Pink\nGreen Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Orange Purple Brown Blue Red Green Yellow Gray Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Black Black Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Red Gray Black Black Black Black Red Black Black Black Black Black Red Gray Yellow Gray Black Black Red Gray Yellow Gray Red Blue\nBlue Gray Gray Black Black Black Black Gray Black Black Black Black Black Gray Gray Blue Gray Black Black Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Black Black Black Black Yellow Black Black Black Black Black Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Black Black Black Black Black Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Black Black Black Black Black Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Black Black Black Black Black Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Black Black Black Blue Gray Gray Blue Gray Gray Black Black Black Black Black Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Black Black Black Blue Yellow Blue Yellow Blue Yellow Black Black Black Black Black Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Black Black Black Black Black Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue\nBlue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue Gray Gray Blue\nBlue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue Red Gray Yellow Gray Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```\n\n[Example 2]\n```\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Black Black Black Black Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Black Black Black Black Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Black Black Black Black Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Black Black Black Black Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Black Black Black Black Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Black Black Black Black Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Green Black Black Black Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Gray Black Black Black Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Black Black Black Blue Red Green Gray Gray Green Red Black Black Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Black Black Black Black Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Black Black Black Black Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Black Black Black Black Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Black Black Black Black Blue Gray Black Black Black Black Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Black Black Black Black Blue Red Black Black Black Black Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Black Black Black Black Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Black Black Black Black Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray Gray Green Red Blue Red Green Gray\nBlue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green Green Red Gray Blue Gray Red Green\nBlue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red Red Gray Green Blue Green Gray Red\n```\n\n[Example 3]\n```\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Black Black Black Black Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Black Black Black Black Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black Black Black Black Black Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black Black Black Black Black Black Black Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Black Black Black Black Black Black Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black Black Black Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Black Black Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Black Black Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Black Black Black Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```\n\n***Test example:***\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Red Purple Blue Gray Gray Black Black Black Black Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Purple Blue Gray Gray Black Black Black Black Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Black Black Black Black Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Black Black Black Black Black Black Black Blue Red Red Blue Gray Purple Blue Purple Gray Blue Black Black Blue\nBlue Purple Gray Blue Red Black Black Black Black Black Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Black Black Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Black Black Black Black Blue Red Gray Blue Gray Red Blue Black Black Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Black Black Black Black Blue Purple Red Blue Red Purple Blue Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Black Black Black Black Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Black Black Black Black Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue Purple Red Blue Red Purple Blue Gray Gray Blue\nBlue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue Red Gray Blue Gray Red Blue Purple Purple Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue Gray Purple Blue Purple Gray Blue Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\nOutput:\nBlack Black Blue Red Black Black\nBlack Black Red Blue Black Black\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\nBlack Black Blue Red Black Black\nBlack Black Red Blue Black Black\n```\n\n[Example 2]\n```\nInput:\nGray Black Black\nBlack Gray Black\nBlack Black Gray\nOutput:\nBlue Red Black Black Black Black\nRed Blue Black Black Black Black\nBlack Black Blue Red Black Black\nBlack Black Red Blue Black Black\nBlack Black Black Black Blue Red\nBlack Black Black Black Red Blue\n```\n\n[Example 3]\n```\nInput:\nBlack Gray Black\nBlack Gray Gray\nGray Gray Black\nOutput:\nBlack Black Blue Red Black Black\nBlack Black Red Blue Black Black\nBlack Black Blue Red Blue Red\nBlack Black Red Blue Red Blue\nBlue Red Blue Red Black Black\nRed Blue Red Blue Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black\nBlack Gray Black\nGray Gray Gray\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Red Black Black\nBlack Black Red Blue Black Black\nBlue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Green Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Purple Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Blue Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Pink Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Pink Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Green Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Blue Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Pink Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Blue Black Black\nBlack Yellow Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Brown Red Yellow Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Green Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Yellow Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Red Black Black Blue Black Black\nBlack Black Green Black Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Green Black Orange Purple Black Black Black Black Black Black\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Blue Black Black\nBlack Yellow Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Brown Red Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Green Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Red Black Black Blue Black Black\nBlack Black Green Black Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Green Black Orange Purple Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Gray Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Black Gray Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Gray Black Pink Black Black Black Black Brown Black Black Black Brown\nGray Gray Gray Gray Black Black Black Red Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Brown Black Blue\nYellow Black Black Black Black Red Black Black Black Black Black Black Black Black Yellow\nBlack Purple Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Gray Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Green Black Black Black Black Brown\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Blue Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Pink Black Black Blue Black Black Purple\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Pink Black Black Black Black Brown Black Black Black Brown\nGray Gray Gray Gray Black Black Black Red Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Brown Black Blue\nYellow Black Black Black Black Red Black Black Black Black Black Black Black Black Yellow\nBlack Purple Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Gray Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Brown\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Blue Black Black Purple\n```\n\n***Test example:***\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Gray Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Gray Black Green Black Black Black Black Purple Black Black Black Orange\nGray Gray Gray Gray Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Pink Red Black\nBlack Black Black Black Black Black Brown Black Black Black Green Black Black Black Black\nBlack Black Black Blue Black Purple Orange Black Black Black Black Black Black Green Black\nBlack Black Black Black Orange Black Black Orange Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Blue Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Red Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Orange Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Green Black Black Black Black Purple Black Black Black Orange\nGray Gray Gray Gray Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Pink Red Black\nBlack Black Black Black Black Black Brown Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Purple Orange Black Black Black Black Black Black Green Black\nBlack Black Black Black Orange Black Black Orange Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Orange Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Blue Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Black Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Blue Black Black Black Blue Black Black\nBlack Black Black Blue Blue Black Black Black Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Blue Black Black\nBlack Black Blue Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Red Gray Gray Gray Gray\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Gray Yellow Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Gray Red Gray Gray Gray Gray\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Gray Yellow Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Gray Red Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Gray Pink Gray Gray Green Gray Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Gray Red Gray Gray Gray Gray Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Black Black\nBlack Gray Pink Gray Gray Green Gray Black Pink Pink Pink Pink Black Black Black Black Green Green Green Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Gray Gray Gray Yellow Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Red Black Black Black Black Black Black Red Black Black Red Black Black Gray Gray Gray Purple Gray Gray Gray Gray Black\nBlack Black Red Red Red Black Black Black Black Red Red Red Red Red Red Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Red Black Black Black Black Black Black Black Red Red Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Gray Gray Gray Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Gray Gray Gray Yellow Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Blue Black Black Black Black Black Black Pink Black Black Pink Black Black Gray Gray Gray Purple Gray Gray Gray Gray Black\nBlack Black Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Pink Pink Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Blue Black Black Black Black Black Black Black Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Gray Gray Gray Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Pink Yellow Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Pink Yellow Green Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Green Green Yellow Pink Yellow Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Pink Yellow Red Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Pink Yellow Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Red Yellow Pink Yellow Red Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Pink Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Black Black Black Black Black Purple\nPurple Purple Black Black Black Purple Purple\nPurple Black Black Black Black Black Purple\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Yellow Pink Pink Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Yellow Pink Pink Yellow Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Yellow Pink Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Black Pink Pink Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Yellow Pink Pink Yellow Blue Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Red Yellow Yellow Orange Orange Yellow Yellow Red Black Black Black Black Blue Blue Yellow Pink Pink Yellow Blue Blue Black Black\nBlack Black Black Red Yellow Yellow Orange Orange Yellow Yellow Red Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Red Black Black Orange Orange Black Black Red Black Black Black Black Blue Green Yellow Pink Pink Yellow Green Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Yellow Pink Pink Yellow Green Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Yellow Pink Pink Yellow Green Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Green Yellow Pink Pink Yellow Green Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Pink Pink Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Yellow Yellow Orange Orange Yellow Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Yellow Yellow Orange Orange Yellow Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Orange Orange Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Purple Black Black Black Black Purple Purple\nPurple Purple Purple Purple Black Purple Purple Purple\nBlack Black Purple Black Black Black Black Purple\nBlack Black Black Black Black Black Black Purple\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Orange Orange Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Orange Orange Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Orange Orange Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Orange Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Green Orange Orange Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Green Orange Orange Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Orange Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Black Purple Purple\nBlack Black Purple Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Yellow Red Pink Pink Red Yellow Blue Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Red Pink Pink Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black Blue Red Pink Pink Red Blue Black Black Black\nBlack Black Black Yellow Yellow Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Green Blue Yellow Red Pink Pink Red Yellow Blue Green Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Green Blue Yellow Red Pink Pink Red Yellow Blue Green Black Black Black Black Blue Green Green Green Green Green Green Blue Black Black\nBlack Green Blue Blue Red Pink Pink Red Blue Blue Green Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Black Black Black Black Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlue Blue Black\nBlue Blue Black\nPurple Purple Purple\nPurple Purple Purple\nBlack Blue Blue\nBlack Blue Blue\nPurple Purple Black\nBlue Blue Blue\nPurple Purple Black\nPurple Purple Black\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\nPurple Purple Purple\nPurple Purple Purple\nOutput:\nRed Red Black\nRed Red Black\nPurple Purple Purple\nPurple Purple Purple\nBlack Blue Blue\nBlack Blue Blue\nRed Red Black\nBlue Blue Blue\nPurple Purple Black\nPurple Purple Black\nRed Red Red\nRed Red Red\nRed Red Red\nPurple Purple Purple\nPurple Purple Purple\n```\n\n[Example 2]\n```\nInput:\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlue Blue Blue Black Black\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlue Blue Blue Blue Blue\nBlack Purple Purple Purple Purple\nBlack Purple Purple Purple Purple\nBlue Blue Blue Blue Black\nBlue Blue Blue Blue Black\nBlack Purple Purple Purple Black\nBlack Blue Blue Blue Blue\nBlack Blue Blue Blue Blue\nPurple Purple Purple Black Black\nBlack Black Black Blue Blue\nPurple Purple Purple Black Black\nPurple Purple Purple Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nOutput:\nBlack Red Red Red Black\nBlack Red Red Red Black\nBlue Blue Blue Black Black\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nRed Red Red Red Red\nBlack Purple Purple Purple Purple\nBlack Purple Purple Purple Purple\nBlue Blue Blue Blue Black\nBlue Blue Blue Blue Black\nBlack Red Red Red Black\nBlack Blue Blue Blue Blue\nBlack Blue Blue Blue Blue\nPurple Purple Purple Black Black\nBlack Black Black Red Red\nPurple Purple Purple Black Black\nPurple Purple Purple Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\n```\n\n[Example 3]\n```\nInput:\nBlue Blue Blue Black\nBlue Blue Blue Black\nPurple Purple Purple Purple\nBlack Black Blue Blue\nBlack Black Blue Blue\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nBlack Blue Blue Black\nPurple Purple Black Black\nBlue Blue Blue Blue\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlue Blue Blue Blue\nPurple Purple Purple Black\nPurple Purple Purple Black\nBlack Blue Blue Blue\nBlack Blue Blue Blue\nPurple Purple Purple Black\nBlack Blue Blue Black\nPurple Purple Purple Purple\nOutput:\nRed Red Red Black\nRed Red Red Black\nPurple Purple Purple Purple\nBlack Black Blue Blue\nBlack Black Blue Blue\nRed Red Red Red\nRed Red Red Red\nBlack Blue Blue Black\nPurple Purple Black Black\nRed Red Red Red\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlue Blue Blue Blue\nRed Red Red Black\nRed Red Red Black\nBlack Blue Blue Blue\nBlack Blue Blue Blue\nPurple Purple Purple Black\nBlack Red Red Black\nPurple Purple Purple Purple\n```\n\n[Example 4]\n```\nInput:\nBlue Blue Blue Black Black\nBlack Purple Purple Purple Purple\nBlue Blue Blue Blue Black\nBlack Purple Purple Black Black\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nPurple Purple Purple Purple Black\nBlack Blue Blue Black Black\nBlack Blue Blue Black Black\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nBlue Blue Blue Black Black\nBlack Purple Purple Purple Black\nBlack Black Black Blue Blue\nOutput:\nRed Red Red Black Black\nBlack Purple Purple Purple Purple\nBlue Blue Blue Blue Black\nBlack Red Red Black Black\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nPurple Purple Purple Purple Black\nBlack Red Red Black Black\nBlack Red Red Black Black\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nBlue Blue Blue Black Black\nBlack Red Red Red Black\nBlack Black Black Blue Blue\n```\n\n***Test example:***\nInput:\nPurple Purple Purple Black\nBlack Blue Blue Blue\nBlack Purple Purple Black\nBlue Blue Blue Blue\nPurple Purple Purple Black\nPurple Purple Purple Black\nBlack Blue Blue Blue\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nPurple Purple Purple Purple\nBlue Blue Black Black\nBlack Purple Purple Purple\nBlue Blue Blue Black\nPurple Purple Purple Purple\nBlack Blue Blue Black\nBlack Blue Blue Black\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nBlack Blue Blue Blue\nBlack Blue Blue Blue\n```output",
"role": "user"
},
{
"content": "Output:\nRed Red Red Black\nBlack Blue Blue Blue\nBlack Purple Purple Black\nRed Red Red Red\nPurple Purple Purple Black\nPurple Purple Purple Black\nBlack Blue Blue Blue\nBlack Red Red Black\nBlack Red Red Black\nBlue Blue Blue Blue\nBlue Blue Blue Blue\nPurple Purple Purple Purple\nRed Red Black Black\nBlack Purple Purple Purple\nBlue Blue Blue Black\nRed Red Red Red\nBlack Blue Blue Black\nBlack Blue Blue Black\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nBlack Red Red Red\nBlack Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOutput:\nGreen Green Green Green Blue Red Red Red\nGreen Green Green Green Blue Red Red Red\nBlue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Red Red Red\nBlue Blue Blue Blue Blue Red Red Red\nRed Red Red Red Red Red Red Red\n```\n\n[Example 2]\n```\nInput:\nPurple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Green Green Green Red Red Red Red Red Red Red Red Red Purple\nPurple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nGray Gray Green Green Green Green Red Red Red\nGray Gray Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Red Red Red\nGreen Green Green Green Green Green Red Red Red\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Purple Purple Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Green Green Green Green Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Green Green Yellow Pink Pink Pink\nGreen Green Green Green Yellow Pink Pink Pink\nGreen Green Green Green Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n```\n\n***Test example:***\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Green Green Green Green Red Red Blue Blue Blue Blue\nBlue Blue Red Red Red Red Green Green Green Green Red Red Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```output",
"role": "user"
},
{
"content": "Output:\nPink Pink Purple Green Red Red Red Red Red Red\nPurple Purple Purple Green Red Red Red Red Red Red\nGreen Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Yellow Pink Yellow Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Yellow Yellow Black Pink Black Yellow Yellow Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Yellow Yellow Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Yellow Pink Black Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nOutput:\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Yellow Pink Yellow Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Yellow Yellow Black Pink Black Yellow Yellow Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Yellow Yellow Black Pink Black Yellow Yellow Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Yellow Pink Yellow Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black Pink Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nGreen Black Green Green Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Green Green Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Black Green Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Green Black Red Black Green Black Black Red Black Black Black Black Red Black Black Black\nBlack Green Green Black Red Black Green Green Black Red Black Black Black Black Red Black Black Black\nGreen Black Green Green Red Green Green Black Green Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Blue Black Black Red Black Black Blue Black Red Black Black Black\nBlack Black Black Black Red Black Black Blue Blue Red Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Blue Black Red Black Blue Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Red Black Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Blue Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nOutput:\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nGreen Black Green Green Red Green Green Black Green Red Black Black Black Black Red Black Black Black\nBlack Green Green Black Red Black Green Green Black Red Black Black Black Black Red Black Black Black\nBlack Black Green Black Red Black Green Black Black Red Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Green Black Red Black Green Black Black Red Black Black Black Black Red Black Black Black\nBlack Green Green Black Red Black Green Green Black Red Black Black Black Black Red Black Black Black\nGreen Black Green Green Red Green Green Black Green Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Blue Black Black Red Black Black Blue Black Red Black Black Black\nBlack Black Black Black Red Black Black Blue Blue Red Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Blue Black Red Black Blue Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Blue Black Red Black Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Blue Blue Red Blue Blue Black Black Red Black Black Black\nBlack Black Black Black Red Black Blue Black Black Red Black Black Blue Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Black Black Purple Black Black Red Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Red Red Purple Red Red Red Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Red Black Purple Black Red Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Red Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Red Red Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Black Black Purple Black Black Black Black Black Purple Black Black Blue Blue Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Blue Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Blue Black Purple Black Blue Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Black Blue Purple Blue Black Blue Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Blue Black Purple Black Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Purple Yellow Yellow Yellow Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Yellow Black Purple Black Yellow Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Yellow Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Yellow Yellow Yellow Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Black Black Purple Black Black Red Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Red Red Purple Red Red Red Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Red Black Purple Black Red Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Red Black Purple Black Red Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Red Red Purple Red Red Red Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Red Black Black Purple Black Black Red Black Black Purple Black Black Blue Blue Black Purple Black Blue Blue Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Black Blue Purple Blue Black Blue Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Blue Black Purple Black Blue Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Blue Black Purple Black Blue Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Black Blue Purple Blue Black Blue Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Blue Blue Black Purple Black Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Purple Yellow Yellow Yellow Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Yellow Black Purple Black Yellow Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Yellow Black Purple Black Yellow Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Purple Yellow Yellow Yellow Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Yellow Yellow Gray Red Black Black Black Black Black Gray\nBlack Black Black Gray Red Black Black Black Black Black Yellow Black Red Black Black Black Black Gray Black Black\nBlack Black Black Yellow Black Red Black Black Yellow Yellow Yellow Red Black Black Black Gray Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Black Yellow Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Purple Purple Purple Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Yellow Yellow Purple Purple Purple Yellow Yellow Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Yellow Black Red Gray Black Gray Black Black Black Black Black Gray\nGray Black Black Black Black Red Yellow Yellow Yellow Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Black Gray Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Yellow Yellow Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Yellow Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black\nBlack Red Black Gray Yellow Black Black Gray Black Black Black Black Gray Black Black Red Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Purple Purple Purple Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Purple Purple Purple Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Gray Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Red\nBlack Black Black Black Black Gray Black Black Gray Gray Black Black Yellow Yellow Yellow Red Black\nBlack Black Black Black Gray Black Red Black Black Black Black Black Yellow Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Yellow Black Red Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Purple Purple Purple Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Yellow Purple Purple Purple Yellow Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Red Black Yellow Black Red Gray Black Black Black\nBlack Black Black Black Black Black Black Red Black Gray Yellow Gray Black Red Gray Black Black\nBlack Black Black Gray Black Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Gray Black Black Red Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Gray Red Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Red Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nRed Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Gray Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Purple Purple Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nOutput:\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Gray Yellow Yellow Yellow Black Black Gray Black\nBlack Black Black Gray Yellow Yellow Black Black Black Black Black Black Yellow Black Gray Black Black Black Black\nBlack Gray Black Gray Black Yellow Black Gray Black Black Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Red Black Yellow Black Red Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Yellow Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Yellow Yellow Purple Purple Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Yellow Black Gray Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Red Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Gray Red Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Gray Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Gray Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Gray Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Gray Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Gray Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Gray Gray Black\nGray Black Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Gray Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Red Black Black Gray Black Black Yellow Black Black Black Black Gray Gray Black Black Black Black Black Black Gray\nBlack Black Yellow Gray Red Black Black Yellow Yellow Yellow Gray Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Red Black Yellow Black Red Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Yellow Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Yellow Yellow Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Yellow Gray Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Red Black Yellow Black Red Yellow Yellow Yellow Black Gray Black Black Black Gray Black Black Gray Black\nBlack Black Gray Black Gray Yellow Yellow Yellow Black Black Red Black Yellow Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Gray Yellow Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Gray Black Black Gray Black Black Black Black Black Black Black Black Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Gray Black Gray Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Gray Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Gray Gray Black\nGray Black Black Black Gray Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nPurple Pink Yellow Green Yellow Orange Green Purple Green Orange\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Green Black\nBlack Black Black Green Black Black Green Black Green Black\nBlack Black Black Green Black Black Green Black Green Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nPurple Pink Yellow Green Yellow Orange Green Purple Green Orange\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Yellow Pink Red Blue Brown Red Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Yellow Pink Red Blue Brown Red Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nYellow Blue Yellow Yellow Pink Green Blue Pink Green Pink\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Pink Black Black Pink Black Pink\nYellow Black Yellow Yellow Pink Black Black Pink Black Pink\nYellow Black Yellow Yellow Pink Black Black Pink Black Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nYellow Blue Yellow Yellow Pink Green Blue Pink Green Pink\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Green Red Green Blue Blue Green Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Black Black Black Black\nRed Black Black Red Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Green Red Green Blue Blue Green Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 5]\n```\nInput:\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Blue Red Blue Red Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Blue Blue Black Black Black\nBlack Blue Black Blue Black Blue Blue Black Black Black\nBlack Blue Black Blue Black Blue Blue Black Black Black\nBlack Blue Black Blue Black Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Blue Red Blue Red Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 6]\n```\nInput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlue Green Blue Blue Blue Blue Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Yellow Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlue Green Blue Blue Blue Blue Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Pink Yellow Pink Red Yellow Yellow Green Brown\nBlack Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Pink Black Pink Red Black Black Green Black\nRed Green Pink Black Pink Red Black Black Green Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Pink Yellow Pink Red Yellow Yellow Green Brown\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Yellow Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nYellow Black Yellow Yellow Black Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black\nYellow Black Black Black Yellow Black Black Black\nOutput:\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Yellow\nYellow Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow Yellow Black\nYellow Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Yellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Blue Blue Blue Blue Blue Blue Blue Red Black Black\nBlack Black Red Blue Blue Blue Blue Blue Blue Blue Red Black Black\nBlack Black Red Blue Blue Blue Blue Blue Blue Blue Red Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Red Black Black Black Black Black Black Black Red Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Red Black Black Black Black Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGreen Green Red Pink Green Pink Purple Purple Purple Red Green Green Green Green Green Pink Green Green Purple Purple Blue Red Red Pink Green Green Red Purple Blue Blue\nPurple Red Blue Pink Green Blue Purple Green Blue Purple Green Purple Purple Blue Green Red Purple Green Purple Purple Green Blue Green Blue Purple Green Red Pink Red Pink\nBlue Purple Green Blue Purple Purple Purple Purple Purple Purple Blue Green Red Green Green Pink Pink Red Green Pink Red Red Red Red Red Red Red Green Red Green\nBlue Red Purple Blue Purple Purple Purple Purple Purple Purple Green Purple Blue Red Blue Blue Red Green Purple Green Red Red Red Red Red Red Red Red Blue Green\nBlue Green Purple Blue Purple Purple Purple Purple Purple Purple Green Red Green Green Purple Green Blue Blue Green Green Red Red Red Red Red Red Red Pink Purple Green\nGreen Green Purple Red Purple Purple Purple Purple Purple Purple Green Green Blue Green Red Green Pink Blue Blue Red Red Red Red Red Red Red Red Green Pink Red\nPurple Red Blue Blue Purple Purple Purple Purple Purple Purple Green Green Pink Blue Green Blue Purple Blue Red Blue Red Red Red Red Red Red Red Red Green Purple\nBlue Green Green Pink Purple Purple Purple Purple Purple Purple Purple Blue Red Purple Red Purple Red Blue Green Green Red Red Red Red Red Red Red Red Purple Pink\nGreen Blue Green Purple Green Red Green Purple Blue Green Blue Purple Blue Green Blue Red Green Blue Purple Pink Red Blue Green Blue Blue Purple Green Blue Pink Green\nRed Purple Pink Green Blue Green Purple Red Blue Green Red Green Green Green Green Blue Purple Green Green Pink Red Purple Red Red Pink Red Blue Pink Red Green\nPurple Purple Red Red Green Blue Blue Green Red Green Green Purple Red Green Green Purple Purple Pink Pink Red Blue Red Pink Red Green Green Green Red Pink Green\nPink Green Red Red Purple Green Red Green Green Blue Green Red Red Green Red Pink Green Red Red Blue Blue Red Blue Purple Pink Green Red Blue Purple Red\nPurple Pink Red Purple Red Red Red Green Green Purple Blue Blue Green Blue Pink Blue Green Red Purple Green Purple Green Green Green Green Green Green Blue Purple Blue\nPurple Purple Red Purple Purple Pink Purple Pink Green Purple Pink Blue Green Red Purple Green Pink Pink Red Pink Green Purple Green Green Green Green Green Green Purple Blue\nBlue Purple Red Pink Red Purple Blue Green Pink Green Purple Red Red Green Pink Blue Pink Red Purple Green Purple Green Green Green Green Green Green Red Red Green\nGreen Red Purple Blue Blue Green Red Red Red Pink Purple Green Purple Purple Blue Red Purple Pink Blue Green Blue Red Green Green Green Green Green Red Red Red\nPurple Green Purple Blue Red Green Purple Pink Green Green Green Blue Pink Green Blue Red Blue Green Red Green Red Purple Green Green Green Green Green Purple Green Green\nPink Red Green Purple Pink Red Red Blue Purple Purple Blue Blue Blue Blue Blue Blue Blue Pink Pink Red Blue Pink Green Blue Pink Purple Green Blue Red Green\nRed Blue Red Blue Purple Red Green Red Pink Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Pink Red Blue Red Red Red Green Green Blue\nBlue Purple Purple Red Purple Red Red Red Green Blue Blue Blue Blue Blue Blue Blue Blue Purple Red Green Red Green Pink Pink Red Green Green Green Pink Green\nRed Pink Purple Green Pink Blue Green Purple Green Pink Blue Blue Blue Blue Blue Blue Blue Red Green Green Green Blue Pink Green Green Pink Blue Green Red Red\nPink Purple Pink Red Green Red Pink Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Purple Blue Pink Green Green Green Purple Blue Purple Red Green\nPink Green Blue Green Pink Pink Blue Pink Green Purple Blue Blue Blue Blue Blue Blue Blue Blue Red Blue Pink Green Green Purple Blue Purple Green Purple Red Blue\nGreen Red Red Green Blue Blue Red Green Purple Pink Blue Green Green Blue Purple Green Blue Purple Purple Green Purple Green Blue Purple Purple Blue Blue Red Blue Purple\nGreen Red Green Pink Blue Purple Green Pink Green Green Red Red Blue Green Pink Green Red Green Purple Green Purple Green Red Red Red Red Green Green Blue Pink\nRed Purple Pink Red Red Blue Purple Green Blue Pink Purple Red Green Red Green Red Green Green Green Green Red Red Red Purple Pink Purple Green Pink Blue Green\nPink Red Green Red Green Green Purple Green Green Pink Red Red Green Green Purple Purple Blue Green Blue Red Purple Green Purple Green Green Green Pink Blue Red Red\nRed Green Red Blue Red Pink Green Blue Purple Green Blue Pink Red Green Purple Red Pink Blue Blue Blue Green Pink Purple Blue Red Purple Pink Red Green Red\nRed Blue Purple Red Pink Green Purple Red Green Pink Purple Purple Red Purple Purple Green Red Green Blue Pink Purple Red Pink Green Red Green Red Blue Purple Green\nBlue Pink Green Blue Pink Pink Green Blue Red Purple Purple Blue Purple Blue Green Green Blue Red Pink Purple Green Blue Pink Purple Green Purple Green Blue Blue Purple\nOutput:\nGreen Green Red Pink Green Pink Purple Purple Purple Red Green Green Green Green Green Pink Green Green Purple Purple Blue Red Red Pink Green Green Red Purple Blue Blue\nPurple Red Blue Pink Green Blue Purple Green Blue Purple Green Purple Purple Blue Green Red Purple Green Purple Purple Green Blue Green Blue Purple Green Red Pink Red Pink\nBlue Purple Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Green Red Green Green Pink Pink Red Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Red Green\nBlue Red Purple Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Blue Red Blue Blue Red Green Purple Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Blue Green\nBlue Green Purple Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Red Green Green Purple Green Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Purple Green\nGreen Green Purple Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green Blue Green Red Green Pink Blue Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Pink Red\nPurple Red Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Pink Blue Green Blue Purple Blue Red Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Green Purple\nBlue Green Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Purple Blue Red Purple Red Purple Red Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Pink\nGreen Blue Green Purple Green Red Green Purple Blue Green Blue Purple Blue Green Blue Red Green Blue Purple Pink Red Blue Green Blue Blue Purple Green Blue Pink Green\nRed Purple Pink Green Blue Green Purple Red Blue Green Red Green Green Green Green Blue Purple Green Green Pink Red Purple Red Red Pink Red Blue Pink Red Green\nPurple Purple Red Red Green Blue Blue Green Red Green Green Purple Red Green Green Purple Purple Pink Pink Red Blue Red Pink Red Green Green Green Red Pink Green\nPink Green Red Red Purple Green Red Green Green Blue Green Red Red Green Red Pink Green Red Red Blue Blue Red Blue Purple Pink Green Red Blue Purple Red\nPurple Pink Red Purple Red Red Red Green Green Purple Blue Blue Green Blue Pink Blue Green Red Purple Green Purple Green Yellow Yellow Yellow Yellow Yellow Blue Purple Blue\nPurple Purple Red Purple Purple Pink Purple Pink Green Purple Pink Blue Green Red Purple Green Pink Pink Red Pink Green Purple Yellow Yellow Yellow Yellow Yellow Green Purple Blue\nBlue Purple Red Pink Red Purple Blue Green Pink Green Purple Red Red Green Pink Blue Pink Red Purple Green Purple Green Yellow Yellow Yellow Yellow Yellow Red Red Green\nGreen Red Purple Blue Blue Green Red Red Red Pink Purple Green Purple Purple Blue Red Purple Pink Blue Green Blue Red Yellow Yellow Yellow Yellow Yellow Red Red Red\nPurple Green Purple Blue Red Green Purple Pink Green Green Green Blue Pink Green Blue Red Blue Green Red Green Red Purple Yellow Yellow Yellow Yellow Yellow Purple Green Green\nPink Red Green Purple Pink Red Red Blue Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Red Blue Pink Green Blue Pink Purple Green Blue Red Green\nRed Blue Red Blue Purple Red Green Red Pink Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Green Pink Red Blue Red Red Red Green Green Blue\nBlue Purple Purple Red Purple Red Red Red Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Red Green Red Green Pink Pink Red Green Green Green Pink Green\nRed Pink Purple Green Pink Blue Green Purple Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Green Green Green Blue Pink Green Green Pink Blue Green Red Red\nPink Purple Pink Red Green Red Pink Green Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Purple Blue Pink Green Green Green Purple Blue Purple Red Green\nPink Green Blue Green Pink Pink Blue Pink Green Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Blue Pink Green Green Purple Blue Purple Green Purple Red Blue\nGreen Red Red Green Blue Blue Red Green Purple Pink Blue Green Green Blue Purple Green Blue Purple Purple Green Purple Green Blue Purple Purple Blue Blue Red Blue Purple\nGreen Red Green Pink Blue Purple Green Pink Green Green Red Red Blue Green Pink Green Red Green Purple Green Purple Green Red Red Red Red Green Green Blue Pink\nRed Purple Pink Red Red Blue Purple Green Blue Pink Purple Red Green Red Green Red Green Green Green Green Red Red Red Purple Pink Purple Green Pink Blue Green\nPink Red Green Red Green Green Purple Green Green Pink Red Red Green Green Purple Purple Blue Green Blue Red Purple Green Purple Green Green Green Pink Blue Red Red\nRed Green Red Blue Red Pink Green Blue Purple Green Blue Pink Red Green Purple Red Pink Blue Blue Blue Green Pink Purple Blue Red Purple Pink Red Green Red\nRed Blue Purple Red Pink Green Purple Red Green Pink Purple Purple Red Purple Purple Green Red Green Blue Pink Purple Red Pink Green Red Green Red Blue Purple Green\nBlue Pink Green Blue Pink Pink Green Blue Red Purple Purple Blue Purple Blue Green Green Blue Red Pink Purple Green Blue Pink Purple Green Purple Green Blue Blue Purple\n```\n\n[Example 2]\n```\nInput:\nPink Purple Pink Purple Purple Purple Purple Pink Pink Green Purple Pink Red Green Purple Blue Red Purple Blue Green Purple Green Green Pink Pink Blue Red Pink Red Red\nRed Green Green Red Red Green Pink Red Pink Red Purple Blue Green Purple Blue Purple Blue Purple Purple Purple Purple Red Red Green Red Blue Red Purple Pink Green\nRed Green Purple Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Purple Red Pink Pink Red Purple Green Purple Purple Green Red Green Green Green Red\nPurple Pink Purple Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Blue Blue Red Blue Red Pink Purple Red Pink Red Blue Purple Green Green Purple\nPink Purple Pink Red Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Purple Blue Blue Red Blue Purple Green Purple Red Green Pink Purple Red\nGreen Purple Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Purple Pink Green Red Pink Blue Pink Pink Red Purple Purple Green Red Pink Pink\nRed Pink Green Red Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Green Purple Green Green Pink Green Blue Purple Purple Blue Red Green Blue Purple Purple\nGreen Purple Blue Pink Blue Purple Blue Green Purple Green Red Green Red Purple Blue Green Blue Red Red Purple Blue Pink Green Green Green Pink Red Red Purple Pink\nPurple Green Green Purple Green Purple Red Red Purple Purple Purple Purple Purple Blue Blue Pink Green Green Pink Red Red Pink Blue Green Green Pink Green Blue Green Green\nRed Green Green Red Green Red Pink Red Green Pink Purple Green Green Purple Green Pink Blue Green Green Purple Purple Blue Pink Pink Purple Purple Blue Pink Red Pink\nGreen Pink Green Green Green Red Green Pink Blue Pink Green Purple Red Purple Red Green Red Pink Green Pink Pink Purple Green Pink Pink Blue Pink Purple Purple Pink\nPurple Green Green Blue Red Red Pink Purple Red Green Pink Purple Green Red Red Pink Green Red Blue Red Pink Green Pink Purple Purple Purple Blue Purple Blue Pink\nBlue Purple Purple Blue Pink Pink Purple Red Purple Red Blue Red Purple Purple Blue Purple Red Purple Green Purple Green Green Purple Purple Red Green Green Green Green Green\nPurple Purple Green Purple Green Red Purple Pink Green Green Blue Green Red Blue Pink Pink Purple Green Pink Pink Green Pink Green Blue Purple Blue Red Pink Green Purple\nPurple Pink Pink Green Red Pink Pink Purple Pink Blue Green Red Purple Green Blue Red Purple Green Pink Red Purple Purple Green Red Red Pink Blue Purple Pink Green\nBlue Purple Blue Pink Red Green Red Red Blue Purple Red Red Purple Green Pink Purple Purple Purple Red Purple Purple Green Green Blue Green Red Red Blue Green Red\nPurple Blue Green Pink Purple Purple Pink Pink Green Green Red Red Green Purple Purple Purple Purple Purple Purple Purple Blue Green Green Purple Red Green Pink Red Purple Red\nGreen Green Green Pink Green Red Red Red Pink Green Red Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Red Green Red Red Red Red Green\nGreen Red Blue Red Red Purple Pink Green Purple Purple Purple Green Blue Purple Purple Purple Purple Purple Purple Purple Pink Blue Purple Green Purple Green Pink Purple Blue Purple\nGreen Pink Blue Green Red Green Pink Pink Pink Green Red Blue Green Purple Purple Purple Purple Purple Purple Purple Green Green Red Blue Purple Green Pink Green Red Green\nPurple Blue Green Purple Pink Red Green Green Green Green Red Purple Pink Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Green Purple Red Green Blue Green Red\nGreen Pink Green Red Purple Pink Pink Green Purple Green Blue Red Green Purple Purple Purple Purple Purple Purple Purple Green Pink Purple Pink Blue Red Blue Green Green Pink\nGreen Purple Purple Red Green Purple Green Pink Purple Purple Green Blue Green Green Purple Purple Red Red Red Red Green Purple Blue Blue Green Green Red Green Blue Green\nGreen Green Pink Purple Blue Pink Pink Red Purple Pink Pink Blue Purple Blue Red Red Blue Pink Purple Green Red Pink Purple Pink Purple Purple Pink Red Purple Green\nPurple Green Green Blue Purple Green Red Green Green Green Purple Green Green Green Green Red Green Purple Green Blue Green Pink Pink Pink Pink Pink Green Pink Red Green\nGreen Pink Purple Green Red Blue Purple Pink Pink Purple Pink Pink Blue Pink Pink Blue Green Green Pink Red Pink Blue Green Green Purple Blue Red Red Green Green\nBlue Purple Green Pink Green Red Pink Purple Purple Blue Pink Pink Purple Pink Pink Pink Red Pink Purple Green Purple Blue Green Purple Red Pink Green Red Pink Pink\nPurple Purple Pink Purple Blue Blue Purple Red Red Green Pink Red Purple Green Purple Red Blue Blue Purple Pink Purple Pink Purple Pink Green Green Green Green Red Green\nBlue Green Purple Blue Green Blue Pink Green Pink Purple Red Green Green Purple Red Red Red Blue Green Red Purple Purple Green Purple Pink Pink Green Purple Green Purple\nPink Red Pink Red Purple Red Green Green Green Green Blue Green Green Green Red Pink Green Purple Red Green Pink Green Green Red Red Green Purple Purple Blue Green\nOutput:\nPink Purple Pink Purple Purple Purple Purple Pink Pink Green Purple Pink Red Green Purple Blue Red Purple Blue Green Purple Green Green Pink Pink Blue Red Pink Red Red\nRed Green Green Red Red Green Pink Red Pink Red Purple Blue Green Purple Blue Purple Blue Purple Purple Purple Purple Red Red Green Red Blue Red Purple Pink Green\nRed Green Purple Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Red Pink Pink Red Purple Green Purple Purple Green Red Green Green Green Red\nPurple Pink Purple Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Blue Blue Red Blue Red Pink Purple Red Pink Red Blue Purple Green Green Purple\nPink Purple Pink Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Purple Blue Blue Red Blue Purple Green Purple Red Green Pink Purple Red\nGreen Purple Green Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Pink Green Red Pink Blue Pink Pink Red Purple Purple Green Red Pink Pink\nRed Pink Green Red Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Green Purple Green Green Pink Green Blue Purple Purple Blue Red Green Blue Purple Purple\nGreen Purple Blue Pink Blue Purple Blue Green Purple Green Red Green Red Purple Blue Green Blue Red Red Purple Blue Pink Green Green Green Pink Red Red Purple Pink\nPurple Green Green Purple Green Purple Red Red Purple Purple Purple Purple Purple Blue Blue Pink Green Green Pink Red Red Pink Blue Green Green Pink Green Blue Green Green\nRed Green Green Red Green Red Pink Red Green Pink Purple Green Green Purple Green Pink Blue Green Green Purple Purple Blue Pink Pink Purple Purple Blue Pink Red Pink\nGreen Pink Green Green Green Red Green Pink Blue Pink Green Purple Red Purple Red Green Red Pink Green Pink Pink Purple Green Pink Pink Blue Pink Purple Purple Pink\nPurple Green Green Blue Red Red Pink Purple Red Green Pink Purple Green Red Red Pink Green Red Blue Red Pink Green Pink Purple Purple Purple Blue Purple Blue Pink\nBlue Purple Purple Blue Pink Pink Purple Red Purple Red Blue Red Purple Purple Blue Purple Red Purple Green Purple Green Green Purple Purple Red Green Green Green Green Green\nPurple Purple Green Purple Green Red Purple Pink Green Green Blue Green Red Blue Pink Pink Purple Green Pink Pink Green Pink Green Blue Purple Blue Red Pink Green Purple\nPurple Pink Pink Green Red Pink Pink Purple Pink Blue Green Red Purple Green Blue Red Purple Green Pink Red Purple Purple Green Red Red Pink Blue Purple Pink Green\nBlue Purple Blue Pink Red Green Red Red Blue Purple Red Red Purple Green Pink Purple Purple Purple Red Purple Purple Green Green Blue Green Red Red Blue Green Red\nPurple Blue Green Pink Purple Purple Pink Pink Green Green Red Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Green Green Purple Red Green Pink Red Purple Red\nGreen Green Green Pink Green Red Red Red Pink Green Red Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Green Green Red Green Red Red Red Red Green\nGreen Red Blue Red Red Purple Pink Green Purple Purple Purple Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Blue Purple Green Purple Green Pink Purple Blue Purple\nGreen Pink Blue Green Red Green Pink Pink Pink Green Red Blue Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Red Blue Purple Green Pink Green Red Green\nPurple Blue Green Purple Pink Red Green Green Green Green Red Purple Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Purple Purple Green Purple Red Green Blue Green Red\nGreen Pink Green Red Purple Pink Pink Green Purple Green Blue Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Pink Purple Pink Blue Red Blue Green Green Pink\nGreen Purple Purple Red Green Purple Green Pink Purple Purple Green Blue Green Green Purple Purple Red Red Red Red Green Purple Blue Blue Green Green Red Green Blue Green\nGreen Green Pink Purple Blue Pink Pink Red Purple Pink Pink Blue Purple Blue Red Red Blue Pink Purple Green Red Pink Purple Pink Purple Purple Pink Red Purple Green\nPurple Green Green Blue Purple Green Red Green Green Green Purple Green Green Green Green Red Green Purple Green Blue Green Pink Pink Pink Pink Pink Green Pink Red Green\nGreen Pink Purple Green Red Blue Purple Pink Pink Purple Pink Pink Blue Pink Pink Blue Green Green Pink Red Pink Blue Green Green Purple Blue Red Red Green Green\nBlue Purple Green Pink Green Red Pink Purple Purple Blue Pink Pink Purple Pink Pink Pink Red Pink Purple Green Purple Blue Green Purple Red Pink Green Red Pink Pink\nPurple Purple Pink Purple Blue Blue Purple Red Red Green Pink Red Purple Green Purple Red Blue Blue Purple Pink Purple Pink Purple Pink Green Green Green Green Red Green\nBlue Green Purple Blue Green Blue Pink Green Pink Purple Red Green Green Purple Red Red Red Blue Green Red Purple Purple Green Purple Pink Pink Green Purple Green Purple\nPink Red Pink Red Purple Red Green Green Green Green Blue Green Green Green Red Pink Green Purple Red Green Pink Green Green Red Red Green Purple Purple Blue Green\n```\n\n***Test example:***\nInput:\nPink Purple Green Green Green Purple Blue Purple Green Purple Purple Blue Pink Green Blue Red Green Blue Blue Blue Green Blue Red Red Pink Purple Red Green Purple Pink\nBlue Pink Pink Purple Purple Blue Green Green Pink Green Purple Purple Red Blue Blue Green Pink Purple Purple Green Blue Red Blue Purple Red Green Purple Purple Purple Red\nPurple Purple Green Pink Green Blue Pink Purple Green Purple Pink Green Blue Red Purple Blue Purple Red Blue Green Red Blue Blue Blue Blue Blue Blue Purple Green Pink\nBlue Green Blue Red Purple Blue Purple Red Red Red Blue Green Blue Purple Green Pink Green Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Red Pink Green\nPurple Blue Red Green Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Green Purple Blue Blue Blue Blue Blue Blue Blue Purple Green Pink Purple\nPink Blue Green Blue Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Blue Pink Blue Blue Blue Blue Blue Pink Red Purple Green\nGreen Green Green Green Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Green Blue Blue Pink Red Purple Purple Purple Purple Purple Purple Blue Green\nGreen Green Blue Green Red Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Green Red Pink Green Red Blue Purple Purple Purple Red Purple\nBlue Purple Green Red Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Purple Purple Purple Red Purple Green Blue Green Green Pink Blue Green Blue\nPurple Blue Red Green Blue Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Pink Pink Blue Green Purple Green Green Red Purple Purple Purple Blue\nGreen Green Blue Blue Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Blue Purple Blue Purple Pink Red Purple Blue Blue Blue Pink Green\nPink Blue Blue Red Blue Pink Purple Green Red Red Purple Blue Pink Green Purple Red Pink Green Red Blue Green Green Pink Blue Red Purple Pink Red Red Red\nBlue Green Red Purple Blue Red Purple Purple Blue Green Red Red Red Red Green Green Green Purple Green Red Blue Blue Pink Pink Green Purple Green Green Blue Pink\nPurple Blue Red Pink Green Blue Green Red Purple Blue Green Green Purple Blue Purple Green Pink Pink Purple Green Blue Purple Blue Green Green Red Green Green Pink Green\nPurple Purple Blue Green Red Purple Blue Blue Red Blue Red Blue Purple Blue Blue Green Green Green Purple Purple Purple Green Green Green Blue Purple Pink Blue Blue Green\nPink Purple Green Red Purple Blue Green Blue Blue Green Blue Blue Purple Green Purple Purple Green Green Green Pink Green Green Green Blue Green Pink Green Red Purple Pink\nGreen Purple Blue Blue Purple Red Green Green Red Purple Blue Pink Blue Pink Pink Purple Pink Green Blue Purple Green Purple Purple Purple Blue Blue Pink Green Green Blue\nPurple Purple Blue Red Green Pink Green Green Blue Purple Purple Green Green Pink Purple Blue Purple Blue Red Red Green Purple Green Purple Purple Red Pink Purple Pink Blue\nGreen Blue Purple Red Green Green Pink Green Green Pink Green Blue Blue Green Blue Blue Purple Blue Green Blue Purple Red Purple Blue Blue Red Blue Green Green Purple\nPurple Purple Purple Blue Red Purple Purple Green Blue Blue Green Green Green Green Pink Green Green Green Green Green Green Blue Green Purple Red Purple Purple Blue Red Purple\nPink Purple Green Purple Blue Red Purple Green Purple Green Blue Purple Green Green Blue Green Green Green Green Green Green Purple Red Purple Purple Purple Green Green Blue Blue\nPurple Blue Pink Green Blue Red Purple Purple Blue Blue Green Purple Red Green Purple Green Green Green Green Green Green Green Purple Green Purple Green Green Blue Green Blue\nRed Blue Red Red Blue Purple Pink Green Blue Green Purple Purple Purple Red Red Green Green Green Green Green Green Purple Purple Blue Green Blue Blue Green Red Pink\nBlue Blue Green Pink Pink Green Red Red Purple Red Pink Green Purple Pink Red Green Green Green Green Green Green Green Blue Blue Green Green Purple Green Green Green\nBlue Green Pink Blue Purple Green Red Blue Green Green Blue Green Purple Green Purple Green Green Green Green Green Green Green Purple Green Purple Green Green Purple Blue Red\nPurple Purple Green Purple Purple Red Red Red Red Purple Purple Pink Purple Green Green Green Green Green Green Green Green Red Red Blue Pink Blue Purple Pink Purple Pink\nGreen Green Blue Blue Blue Purple Purple Green Green Green Red Purple Red Green Green Green Green Green Pink Purple Purple Red Red Purple Blue Blue Red Blue Purple Purple\nPink Pink Green Green Green Pink Green Green Purple Purple Purple Purple Blue Green Pink Purple Green Green Purple Blue Blue Blue Pink Blue Red Pink Red Pink Green Purple\nBlue Red Purple Green Red Blue Green Green Green Green Blue Green Purple Pink Pink Blue Purple Blue Pink Red Blue Pink Green Green Green Purple Green Purple Blue Purple\nPurple Pink Red Pink Green Purple Red Purple Purple Green Blue Blue Pink Blue Blue Red Blue Purple Blue Red Blue Green Blue Purple Green Pink Green Green Green Purple\n```output",
"role": "user"
},
{
"content": "Output:\nPink Purple Green Green Green Purple Blue Purple Green Purple Purple Blue Pink Green Blue Red Green Blue Blue Blue Green Blue Red Red Pink Purple Red Green Purple Pink\nBlue Pink Pink Purple Purple Blue Green Green Pink Green Purple Purple Red Blue Blue Green Pink Purple Purple Green Blue Red Blue Purple Red Green Purple Purple Purple Red\nPurple Purple Green Pink Green Blue Pink Purple Green Purple Pink Green Blue Red Purple Blue Purple Red Blue Green Red Yellow Yellow Yellow Yellow Yellow Blue Purple Green Pink\nBlue Green Blue Red Purple Blue Purple Red Red Red Blue Green Blue Purple Green Pink Green Blue Blue Green Blue Yellow Yellow Yellow Yellow Yellow Blue Red Pink Green\nPurple Blue Red Green Purple Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Green Purple Blue Blue Yellow Yellow Yellow Yellow Yellow Purple Green Pink Purple\nPink Blue Green Blue Purple Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Green Blue Pink Yellow Yellow Yellow Yellow Yellow Pink Red Purple Green\nGreen Green Green Green Purple Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Green Blue Blue Pink Red Purple Purple Purple Purple Purple Purple Blue Green\nGreen Green Blue Green Red Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Blue Blue Green Red Pink Green Red Blue Purple Purple Purple Red Purple\nBlue Purple Green Red Purple Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Purple Purple Purple Red Purple Green Blue Green Green Pink Blue Green Blue\nPurple Blue Red Green Blue Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Pink Pink Blue Green Purple Green Green Red Purple Purple Purple Blue\nGreen Green Blue Blue Red Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Blue Purple Blue Purple Pink Red Purple Blue Blue Blue Pink Green\nPink Blue Blue Red Blue Pink Purple Green Red Red Purple Blue Pink Green Purple Red Pink Green Red Blue Green Green Pink Blue Red Purple Pink Red Red Red\nBlue Green Red Purple Blue Red Purple Purple Blue Green Red Red Red Red Green Green Green Purple Green Red Blue Blue Pink Pink Green Purple Green Green Blue Pink\nPurple Blue Red Pink Green Blue Green Red Purple Blue Green Green Purple Blue Purple Green Pink Pink Purple Green Blue Purple Blue Green Green Red Green Green Pink Green\nPurple Purple Blue Green Red Purple Blue Blue Red Blue Red Blue Purple Blue Blue Green Green Green Purple Purple Purple Green Green Green Blue Purple Pink Blue Blue Green\nPink Purple Green Red Purple Blue Green Blue Blue Green Blue Blue Purple Green Purple Purple Green Green Green Pink Green Green Green Blue Green Pink Green Red Purple Pink\nGreen Purple Blue Blue Purple Red Green Green Red Purple Blue Pink Blue Pink Pink Purple Pink Green Blue Purple Green Purple Purple Purple Blue Blue Pink Green Green Blue\nPurple Purple Blue Red Green Pink Green Green Blue Purple Purple Green Green Pink Purple Blue Purple Blue Red Red Green Purple Green Purple Purple Red Pink Purple Pink Blue\nGreen Blue Purple Red Green Green Pink Green Green Pink Green Blue Blue Green Blue Blue Purple Blue Green Blue Purple Red Purple Blue Blue Red Blue Green Green Purple\nPurple Purple Purple Blue Red Purple Purple Green Blue Blue Green Green Green Green Pink Yellow Yellow Yellow Yellow Yellow Yellow Blue Green Purple Red Purple Purple Blue Red Purple\nPink Purple Green Purple Blue Red Purple Green Purple Green Blue Purple Green Green Blue Yellow Yellow Yellow Yellow Yellow Yellow Purple Red Purple Purple Purple Green Green Blue Blue\nPurple Blue Pink Green Blue Red Purple Purple Blue Blue Green Purple Red Green Purple Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Green Purple Green Green Blue Green Blue\nRed Blue Red Red Blue Purple Pink Green Blue Green Purple Purple Purple Red Red Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Blue Green Blue Blue Green Red Pink\nBlue Blue Green Pink Pink Green Red Red Purple Red Pink Green Purple Pink Red Yellow Yellow Yellow Yellow Yellow Yellow Green Blue Blue Green Green Purple Green Green Green\nBlue Green Pink Blue Purple Green Red Blue Green Green Blue Green Purple Green Purple Yellow Yellow Yellow Yellow Yellow Yellow Green Purple Green Purple Green Green Purple Blue Red\nPurple Purple Green Purple Purple Red Red Red Red Purple Purple Pink Purple Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red Blue Pink Blue Purple Pink Purple Pink\nGreen Green Blue Blue Blue Purple Purple Green Green Green Red Purple Red Green Green Green Green Green Pink Purple Purple Red Red Purple Blue Blue Red Blue Purple Purple\nPink Pink Green Green Green Pink Green Green Purple Purple Purple Purple Blue Green Pink Purple Green Green Purple Blue Blue Blue Pink Blue Red Pink Red Pink Green Purple\nBlue Red Purple Green Red Blue Green Green Green Green Blue Green Purple Pink Pink Blue Purple Blue Pink Red Blue Pink Green Green Green Purple Green Purple Blue Purple\nPurple Pink Red Pink Green Purple Red Purple Purple Green Blue Blue Pink Blue Blue Red Blue Purple Blue Red Blue Green Blue Purple Green Pink Green Green Green Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Blue\nPurple Pink Blue\nYellow Brown Pink\nOutput:\nPurple Purple Blue Purple Purple Blue Black Black Black\nPurple Pink Blue Purple Pink Blue Black Black Black\nYellow Brown Pink Yellow Brown Pink Black Black Black\nPurple Purple Blue Black Black Black Black Black Black\nPurple Pink Blue Black Black Black Black Black Black\nYellow Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nOrange Orange Blue\nYellow Orange Blue\nGreen Green Orange\nOutput:\nOrange Orange Blue Orange Orange Blue Black Black Black\nYellow Orange Blue Yellow Orange Blue Black Black Black\nGreen Green Orange Green Green Orange Black Black Black\nBlack Black Black Orange Orange Blue Black Black Black\nBlack Black Black Yellow Orange Blue Black Black Black\nBlack Black Black Green Green Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Blue\nBlack Black Black Black Black Black Yellow Orange Blue\nBlack Black Black Black Black Black Green Green Orange\n```\n\n[Example 3]\n```\nInput:\nYellow Gray Yellow\nRed Red Gray\nGray Gray Yellow\nOutput:\nBlack Black Black Yellow Gray Yellow Black Black Black\nBlack Black Black Red Red Gray Black Black Black\nBlack Black Black Gray Gray Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Gray Yellow\nBlack Black Black Black Black Black Red Red Gray\nBlack Black Black Black Black Black Gray Gray Yellow\nYellow Gray Yellow Yellow Gray Yellow Black Black Black\nRed Red Gray Red Red Gray Black Black Black\nGray Gray Yellow Gray Gray Yellow Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlue Red Green\nBrown Brown Blue\nRed Brown Yellow\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Red Green Blue Red Green Black Black Black\nBrown Brown Blue Brown Brown Blue Black Black Black\nRed Brown Yellow Red Brown Yellow Black Black Black\nBlack Black Black Blue Red Green Black Black Black\nBlack Black Black Brown Brown Blue Black Black Black\nBlack Black Black Red Brown Yellow Black Black Black\n```\n\n***Test example:***\nInput:\nBrown Pink Orange\nPurple Orange Orange\nRed Purple Orange\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Brown Pink Orange\nBlack Black Black Black Black Black Purple Orange Orange\nBlack Black Black Black Black Black Red Purple Orange\nBlack Black Black Brown Pink Orange Brown Pink Orange\nBlack Black Black Purple Orange Orange Purple Orange Orange\nBlack Black Black Red Purple Orange Red Purple Orange\nBlack Black Black Black Black Black Brown Pink Orange\nBlack Black Black Black Black Black Purple Orange Orange\nBlack Black Black Black Black Black Red Purple Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Purple Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Pink Orange Orange Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Orange Orange Yellow Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Orange Pink Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nRed Red Red Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange Purple Orange Orange Orange Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Blue Orange Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Pink Black Black Black Black Black Black Blue Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Purple Purple Black Black Black Orange Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Yellow\nOutput:\nBlack Yellow Black Black Black Black Black Yellow Black Black Yellow Blue Pink Blue Blue Blue Blue Black Black Blue Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Red Black Black Brown Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Purple Blue Blue Blue Blue Blue Purple Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange\nBlack Black Black Brown Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Green Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Green Blue Blue Blue Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Blue Green Blue Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Blue Green Blue Blue Orange Black Black Black Black Black Black Yellow\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Purple Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Purple Purple Black Black Black Black Green Green Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Blue Green Green Orange Brown Gray Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Green Brown Pink Green Green Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Green Brown Pink Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Green Brown Pink Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Pink Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Pink Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Pink Pink Pink Pink\nGreen Green Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Purple Green Green Green Green Green Green Purple Green Green Green Green Green Green Green Green Green\nPink Pink Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Blue Green Black Black Black Black Black Black Black Black Black\nBlack Gray Red Black Black Black Green Green Green Green Green Green Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Brown Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Brown Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Blue Green Green Brown Blue Green Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nOrange Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Pink Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nOrange Black Black Black Black Black Red Pink Brown Pink Orange Pink Yellow Pink Pink Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Yellow Pink Pink Black Red Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Red Pink Pink Pink Orange Pink Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Yellow Pink Pink Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Pink Pink Orange Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Orange Pink Pink Pink Pink Black Brown Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Yellow Pink Pink Pink Pink Pink Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Pink Gray Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Pink Yellow Pink Pink Pink Pink Pink Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Pink Gray Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Pink Yellow Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple\nBlack Red Red\nBlack Black Blue\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Red Red Black\nBlack Black Black Red Red Red Black Black Yellow Yellow Black Black Black Red Red Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Red Red Red Black Black Black\nPurple Purple Purple Purple Black Black Green Green Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Red Red Red Red\nPurple Purple Purple Purple Black Black Black Green Green Green Black Black Red Red Red Red\nPurple Purple Purple Purple Black Black Black Green Green Green Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Green Green Green Black Black Red Red Red Red\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red\nBlack Green Green Green\nBlack Black Purple Purple\nBlack Black Black Yellow\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Purple Purple Black Purple Purple Purple Black Black\nBlack Blue Blue Black Black Black Black Black Purple Purple Black Purple Purple Purple Black Black\nBlack Blue Blue Black Blue Blue Blue Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nRed Red Red Black Black Black Black Green Green Green Black Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Green Green Green Black Blue Blue Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue\nBlack Black Purple Purple Purple\nBlack Black Black Red Red\nBlack Black Black Black Green\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Green Green Black Black Purple Purple\nBlack Green Green Green Black Black Black Black Black Black Green Green Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Yellow Yellow Yellow Black Green Green Green Green Black Black Black\nBlack Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGreen Green Green Green Green\nBlack Yellow Yellow Yellow Yellow\nBlack Black Black Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Pink Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Pink Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Gray Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Gray Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Pink Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Gray Green Purple Black Black Black Black Black\nGray Gray Gray Gray Gray Green Purple Black Black Black Black Black\nBlack Black Black Black Black Green Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Yellow Pink Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Yellow Pink Red Black Black Black Black Black\nBlack Black Black Yellow Pink Red Black Black Black Black Black\nBlack Black Black Yellow Pink Red Black Black Black Black Black\nBlack Black Black Yellow Pink Red Black Black Black Black Black\nYellow Yellow Yellow Yellow Pink Red Red Red Red Red Red\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Yellow Purple Gray Black Black Black Black Black\nYellow Yellow Yellow Yellow Purple Gray Black Black Black Black Black\nBlack Black Black Black Purple Gray Black Black Black Black Black\nBlack Black Black Black Purple Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Purple Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nRed Red Green\nGray Gray Gray\nBlack Black Black\nOutput:\nRed Red Green\nGray Gray Gray\nBlack Red Black\n```\n\n[Example 2]\n```\nInput:\nGreen Pink Yellow Red Yellow\nPurple Yellow Green Green Yellow\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nOutput:\nGreen Pink Yellow Red Yellow\nPurple Yellow Green Green Yellow\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Yellow Black Black\n```\n\n[Example 3]\n```\nInput:\nBlue Brown Brown Pink Blue Purple Yellow\nYellow Pink Orange Purple Brown Orange Blue\nBrown Green Blue Yellow Blue Green Pink\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nBlue Brown Brown Pink Blue Purple Yellow\nYellow Pink Orange Purple Brown Orange Blue\nBrown Green Blue Yellow Blue Green Pink\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\n```\n\n***Test example:***\nInput:\nBrown Blue Red Purple Yellow Brown Purple Red Blue\nYellow Yellow Green Blue Red Orange Pink Orange Brown\nRed Blue Pink Brown Orange Purple Yellow Green Pink\nBrown Purple Pink Green Yellow Red Brown Blue Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBrown Blue Red Purple Yellow Brown Purple Red Blue\nYellow Yellow Green Blue Red Orange Pink Orange Brown\nRed Blue Pink Brown Orange Purple Yellow Green Pink\nBrown Purple Pink Green Yellow Red Brown Blue Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Black Green Gray Gray Gray Black Green Brown Brown Brown Black Green Yellow Yellow Yellow Yellow\nPurple Black Purple Black Green Gray Gray Gray Gray Green Brown Brown Black Brown Green Black Black Black Black\nBlack Black Black Purple Green Gray Gray Black Black Green Black Black Black Black Green Black Yellow Yellow Black\nBlack Purple Black Black Green Black Gray Gray Gray Green Brown Black Black Black Green Yellow Yellow Yellow Yellow\nOutput:\nBrown Brown Brown Yellow\nBrown Brown Purple Brown\nGray Yellow Yellow Purple\nBrown Yellow Yellow Yellow\n```\n\n[Example 2]\n```\nInput:\nBlack Black Purple Purple Green Gray Gray Black Black Green Black Brown Brown Brown Green Yellow Black Yellow Black\nPurple Purple Purple Purple Green Black Gray Black Gray Green Black Brown Black Brown Green Yellow Black Yellow Black\nPurple Purple Black Purple Green Gray Black Gray Gray Green Black Black Black Brown Green Black Yellow Black Yellow\nBlack Purple Purple Black Green Black Black Black Gray Green Brown Black Black Brown Green Black Black Black Black\nOutput:\nYellow Brown Brown Brown\nYellow Brown Yellow Brown\nPurple Yellow Gray Brown\nBrown Purple Purple Brown\n```\n\n[Example 3]\n```\nInput:\nPurple Purple Black Black Green Gray Gray Gray Black Green Brown Black Brown Brown Green Yellow Yellow Black Yellow\nPurple Purple Black Purple Green Gray Gray Gray Gray Green Black Brown Black Black Green Black Black Yellow Yellow\nPurple Black Black Black Green Black Gray Black Gray Green Brown Black Black Brown Green Yellow Black Black Yellow\nPurple Black Purple Purple Green Gray Black Gray Black Green Black Black Black Black Green Black Black Yellow Black\nOutput:\nBrown Yellow Brown Brown\nPurple Brown Yellow Yellow\nBrown Gray Black Brown\nPurple Black Yellow Purple\n```\n\n[Example 4]\n```\nInput:\nBlack Black Purple Purple Green Gray Black Black Gray Green Brown Black Black Brown Green Yellow Black Black Yellow\nBlack Purple Purple Black Green Gray Gray Black Gray Green Brown Brown Black Brown Green Black Black Yellow Yellow\nPurple Purple Purple Black Green Black Gray Gray Black Green Brown Brown Black Black Green Yellow Black Black Black\nPurple Purple Black Black Green Black Black Black Black Green Black Black Black Black Green Yellow Yellow Yellow Black\nOutput:\nBrown Black Purple Brown\nBrown Brown Yellow Brown\nBrown Brown Purple Black\nYellow Yellow Yellow Black\n```\n\n[Example 5]\n```\nInput:\nBlack Purple Black Black Green Black Black Black Black Green Black Black Black Brown Green Yellow Black Yellow Black\nBlack Purple Black Black Green Gray Gray Black Black Green Black Brown Brown Black Green Yellow Black Black Yellow\nPurple Purple Purple Black Green Gray Black Black Gray Green Brown Brown Brown Black Green Yellow Black Yellow Black\nBlack Black Black Black Green Gray Gray Gray Gray Green Black Black Brown Black Green Black Black Black Black\nOutput:\nYellow Purple Yellow Brown\nYellow Brown Brown Yellow\nBrown Brown Brown Gray\nGray Gray Brown Gray\n```\n\n[Example 6]\n```\nInput:\nBlack Purple Purple Black Green Gray Gray Gray Gray Green Brown Brown Black Brown Green Yellow Black Black Yellow\nPurple Black Purple Black Green Black Gray Black Gray Green Black Black Black Brown Green Yellow Black Yellow Yellow\nPurple Purple Black Purple Green Black Black Black Black Green Brown Brown Black Brown Green Black Yellow Black Yellow\nPurple Purple Black Purple Green Gray Gray Black Black Green Brown Brown Black Black Green Black Black Black Black\nOutput:\nBrown Brown Purple Brown\nYellow Gray Yellow Brown\nBrown Brown Black Brown\nBrown Brown Black Purple\n```\n\n***Test example:***\nInput:\nPurple Purple Purple Black Green Gray Black Gray Gray Green Brown Black Black Black Green Black Black Black Black\nPurple Black Purple Purple Green Gray Gray Gray Gray Green Black Black Brown Brown Green Yellow Yellow Black Yellow\nPurple Black Black Purple Green Gray Black Gray Gray Green Black Black Black Brown Green Black Yellow Black Yellow\nBlack Black Purple Purple Green Black Black Gray Gray Green Brown Brown Brown Black Green Black Yellow Yellow Black\n```output",
"role": "user"
},
{
"content": "Output:\nBrown Purple Purple Gray\nYellow Yellow Brown Brown\nPurple Yellow Gray Brown\nBrown Brown Brown Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Purple Blue Purple Purple Purple Purple Purple\nPurple Blue Purple Purple Blue Purple Purple Purple Purple Purple\nPurple Blue Purple Purple Blue Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Blue Purple Purple Blue\nPurple Purple Purple Purple Purple Purple Blue Purple Purple Blue\nPurple Purple Purple Purple Purple Purple Blue Blue Purple Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nPurple Purple Purple Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Red Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Red Blue Purple Purple Purple Purple Purple\nPurple Blue Red Red Blue Purple Purple Purple Purple Purple\nPurple Blue Red Red Blue Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Blue Red Red Blue\nPurple Purple Purple Purple Purple Purple Blue Red Red Blue\nPurple Purple Purple Purple Purple Purple Blue Blue Red Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Red Purple\n```\n\n[Example 2]\n```\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Blue Gray Gray Blue Gray Gray Gray\nGray Gray Gray Gray Gray Blue Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Blue Red Red Blue Gray Gray Gray\nRed Red Red Red Red Blue Gray Gray Gray\nGray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```\n\n[Example 3]\n```\nInput:\nBrown Blue Brown Blue Blue Brown Brown Brown Brown\nBrown Blue Brown Brown Blue Brown Brown Brown Brown\nBrown Blue Brown Brown Blue Brown Brown Brown Brown\nBrown Blue Blue Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Blue Blue Brown Brown Brown\nBrown Brown Blue Brown Brown Blue Brown Brown Brown\nBrown Brown Blue Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nOutput:\nBrown Blue Red Blue Blue Brown Brown Brown Brown\nBrown Blue Red Red Blue Brown Brown Brown Brown\nBrown Blue Red Red Blue Brown Brown Brown Brown\nBrown Blue Blue Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Blue Blue Brown Brown Brown\nBrown Brown Blue Red Red Blue Brown Brown Brown\nBrown Brown Blue Red Red Red Red Red Red\nBrown Brown Blue Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n```\n\n***Test example:***\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Blue Yellow Blue Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Yellow Yellow Blue Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow\nYellow Blue Yellow Yellow Blue Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```output",
"role": "user"
},
{
"content": "Output:\nYellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Blue Red Blue Blue Yellow Yellow Yellow Blue Red Red Red Red Red Red\nYellow Blue Red Red Blue Yellow Yellow Yellow Blue Red Red Blue Yellow Yellow Yellow\nYellow Blue Red Red Blue Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Red Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Red Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Red Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Blue Black Black Black Black\nBlue Blue Blue Black Black Black\nBlack Blue Black Black Black Black\nBlack Black Black Black Purple Black\nBlack Black Black Purple Purple Purple\nBlack Black Black Black Purple Black\nOutput:\nBlack Purple Black Black Black Black\nPurple Purple Purple Black Black Black\nBlack Purple Black Black Black Black\nBlack Black Black Black Purple Black\nBlack Black Black Purple Purple Purple\nBlack Black Black Black Purple Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Black Black\nBlack Blue Black Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown\nBlack Black Blue Blue Black Black Black Black Brown\nBlack Black Black Blue Black Orange Black Black Black\nPink Pink Pink Black Black Orange Orange Black Black\nPink Black Pink Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Orange Black Black\nBlack Pink Black Pink Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown\nBlack Black Black Brown Black Orange Black Black Black\nPink Pink Pink Black Black Orange Orange Black Black\nPink Black Pink Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Blue Black Black Black Blue Black Black Black Black Brown\nBlue Blue Blue Black Black Blue Black Black Black Brown Brown\nBlack Black Blue Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Green Black Black Black Pink Black Blue Blue Black Black\nGreen Green Green Black Black Pink Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Blue Black Black Black Orange Orange Orange Black\nBlack Black Blue Blue Blue Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Orange Black Black Black Pink Black Black Black Black Brown\nOrange Orange Orange Black Black Pink Black Black Black Brown Brown\nBlack Black Orange Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Green Black Black Black Pink Black Brown Brown Black Black\nGreen Green Green Black Black Pink Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Green Black Black Black Orange Orange Orange Black\nBlack Black Green Green Green Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Blue Black Black Purple Purple Purple Black Blue Blue Black Black\nBlack Blue Blue Blue Black Black Purple Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Blue Blue Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Blue Black Black Black Black Red Black\nBlack Black Yellow Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Pink Black\nBlack Black Blue Black Black Black Blue Black Black Black Pink Pink Pink\nPurple Black Blue Black Black Black Black Black Black Black Black Pink Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Red Black Black Purple Purple Purple Black Purple Purple Black Black\nBlack Red Red Red Black Black Purple Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Yellow Black Black Pink Pink Pink Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Pink Black Black Black Black Red Black\nBlack Black Yellow Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Pink Black\nBlack Black Purple Black Black Black Yellow Black Black Black Pink Pink Pink\nPurple Black Purple Black Black Black Black Black Black Black Black Pink Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Green Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Yellow Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Green Yellow Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Yellow Yellow Red Yellow Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nBlack Black Yellow Yellow Black\nBlack Yellow Yellow Red Yellow\nBlack Black Yellow Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Yellow Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Yellow Yellow Blue Yellow Yellow Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Blue Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Blue Yellow Yellow\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Yellow Yellow Black Yellow Yellow Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Yellow Red Yellow Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Red Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Yellow Red Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Red Black Red Black Black Black\nBlack Black Red Green Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Green Black Green Black Black Black\nBlack Black Green Red Green Green Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Red Green Red Red Black Black Black\nBlack Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Purple Black Purple Black\nBlack Black Black Black Black Black Blue Black Black Purple Yellow Black\nBlack Black Black Black Black Black Blue Black Purple Purple Purple Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Purple Black Purple Black Blue Black Yellow Black Yellow Black\nBlack Black Yellow Purple Black Black Blue Black Black Yellow Purple Black\nBlack Black Purple Purple Purple Black Blue Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Pink Pink Gray Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Gray Pink Pink Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Gray Gray Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Black Blue Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Blue Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Black Blue Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Blue Black Red Black Black Red Black Black\nBlack Black Black Red Red Red Red Black Blue Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Purple Black Blue Black Red Black Black Red Black Black\nBlack Black Red Red Red Black Black Black Blue Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Green Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Green Purple Purple Purple Green Purple Black Black Black Purple Purple Green Green Purple Purple Purple Black Black Black\nBlack Black Purple Green Green Green Purple Green Green Green Black Black Black Green Purple Purple Purple Purple Purple Green Black Black Black\nBlack Black Purple Purple Green Purple Purple Purple Green Purple Black Black Black Purple Purple Purple Green Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Green Purple Purple Purple Black Black Black Purple Purple Green Green Green Purple Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Green Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Green Purple Purple Purple Purple Purple Green Purple Black Black Black Purple Purple Purple Purple Green Purple Purple Black Black Black\nBlack Purple Purple Green Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Green Green Green Purple Green Purple Green Purple Black Purple Green Purple Purple Purple Purple Purple Green Black Black Black Black\nBlack Purple Purple Green Purple Purple Purple Purple Purple Purple Black Green Green Green Purple Purple Green Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Green Purple Purple Green Green Green Purple Black Black Black Black\nBlack Purple Green Purple Purple Purple Green Purple Purple Purple Black Purple Purple Purple Purple Purple Green Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Green Green Green Purple Purple Black Purple Green Purple Purple Purple Purple Green Purple Black Black Black Black\nBlack Purple Green Purple Purple Purple Green Purple Green Purple Black Green Green Green Purple Purple Green Green Green Black Black Black Black\nBlack Green Purple Purple Purple Purple Purple Purple Purple Green Black Purple Green Purple Purple Purple Purple Green Purple Black Black Black Black\nBlack Purple Purple Green Purple Purple Purple Green Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Green Purple Purple Purple Purple Purple Green\nGreen Green Green Purple Purple Green Purple Purple\nPurple Green Purple Purple Green Green Green Purple\nPurple Purple Purple Purple Purple Green Purple Purple\nPurple Green Purple Purple Purple Purple Green Purple\nGreen Green Green Purple Purple Green Green Green\nPurple Green Purple Purple Purple Purple Green Purple\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Purple Purple Green Purple Purple Purple Green Purple Black Black Green Purple Purple Purple Green Purple Purple Purple Green Purple Black Black\nBlack Purple Purple Green Green Green Purple Purple Purple Green Black Black Purple Purple Green Purple Purple Purple Purple Green Green Green Black Black\nBlack Purple Purple Purple Green Purple Purple Purple Purple Purple Black Black Purple Green Green Green Purple Purple Purple Purple Green Purple Black Black\nBlack Purple Green Purple Purple Purple Purple Green Purple Purple Black Black Purple Purple Green Purple Green Purple Green Purple Purple Purple Black Black\nBlack Purple Purple Purple Green Purple Green Green Green Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Green Green Black Black\nBlack Green Purple Purple Purple Purple Purple Green Purple Purple Black Black Purple Green Purple Green Purple Purple Green Purple Purple Purple Black Black\nBlack Purple Purple Green Purple Purple Purple Purple Green Purple Black Black Purple Purple Purple Purple Purple Green Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Purple Purple Purple Green Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Green Purple Purple Purple Purple Green Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Green Green Green Purple Purple Green Green Green Black Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Green Purple Purple Purple Purple Green Purple Black Purple Purple Purple Green Purple Purple Purple Purple Green Green Purple Black Black\nBlack Green Purple Purple Purple Green Purple Purple Purple Purple Black Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Green Purple Purple Purple Purple Green Purple Green Black Purple Purple Purple Green Purple Purple Purple Green Purple Purple Green Black Black\nBlack Green Green Green Purple Purple Green Green Green Purple Black Green Purple Purple Purple Purple Purple Green Green Green Purple Purple Black Black\nBlack Purple Green Purple Purple Purple Purple Green Purple Purple Black Purple Purple Green Purple Green Purple Purple Green Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Green Purple Purple Purple Purple Black Purple Green Green Green Purple Purple Purple Purple Purple Green Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Green Purple Purple Purple Green Green Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Green Purple Purple Purple Purple Green Purple\nPurple Green Green Green Purple Purple Green Green Green\nPurple Purple Green Purple Purple Purple Purple Green Purple\nGreen Purple Purple Purple Green Purple Purple Purple Purple\nPurple Green Purple Purple Purple Purple Green Purple Green\nGreen Green Green Purple Purple Green Green Green Purple\nPurple Green Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Purple Purple Black Black Purple Purple Green Purple Purple Green Purple Purple Black Black Black Black\nBlack Black Purple Green Purple Purple Purple Purple Purple Purple Black Black Purple Green Green Green Purple Purple Green Purple Black Black Black Black\nBlack Black Purple Purple Purple Green Purple Purple Purple Green Black Black Purple Purple Green Purple Purple Green Green Green Black Black Black Black\nBlack Black Purple Purple Green Green Green Purple Purple Green Black Black Purple Purple Purple Purple Purple Purple Green Purple Black Black Black Black\nBlack Black Purple Purple Purple Green Purple Purple Purple Purple Black Black Green Purple Purple Purple Green Purple Purple Green Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Green Green Green Purple Purple Black Black Black Black\nBlack Black Purple Green Purple Purple Purple Purple Purple Purple Black Black Purple Green Purple Purple Green Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Purple Purple Black Black Purple Purple Purple Purple Purple Purple Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Purple Purple Purple Green Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Green Green Green Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Purple Purple Purple Purple Purple Green Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Green Purple Purple Green Purple Purple\nPurple Green Green Green Purple Purple Green Purple\nPurple Purple Green Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Green Purple\nGreen Purple Purple Purple Green Purple Purple Green\nPurple Purple Purple Green Green Green Purple Purple\nPurple Green Purple Purple Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Green\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Green Purple Purple Purple Green Purple Black Black Black Green Purple Purple Green Purple Purple Green Purple\nBlack Black Green Green Green Purple Green Green Green Black Black Black Purple Purple Green Purple Purple Green Green Green\nBlack Black Purple Green Purple Purple Purple Green Purple Black Black Black Purple Green Green Green Purple Purple Green Purple\nBlack Black Purple Purple Purple Green Purple Purple Purple Black Black Black Purple Purple Green Purple Purple Purple Purple Purple\nBlack Black Purple Green Purple Purple Purple Purple Purple Black Black Black Green Purple Purple Purple Purple Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green Green Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Green Purple Purple Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Purple Purple Purple Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Green Purple Purple Green Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Green Green Green Purple Purple Purple Green Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Green Purple Purple Purple Green Green Green Purple Black Black Black Black Black Black Black\nBlack Black Purple Green Purple Purple Purple Purple Purple Purple Green Purple Purple Black Black Black Black Black Black Black\nBlack Black Green Green Green Purple Purple Green Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Green Purple Purple Green Green Green Purple Purple Green Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGreen Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Green Purple Purple Green Purple Purple Purple Purple\nPurple Purple Green Green Green Purple Purple Purple Green Purple Purple\nPurple Purple Purple Green Purple Purple Purple Green Green Green Purple\nPurple Green Purple Purple Purple Purple Purple Purple Green Purple Purple\nGreen Green Green Purple Purple Green Purple Purple Purple Purple Purple\nPurple Green Purple Purple Green Green Green Purple Purple Green Purple\nPurple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Green Purple Purple Purple Green Purple Green Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Green Green Green Purple Purple Purple Green Green Green Black Black Purple Purple Purple Purple Purple Purple Green Green Purple Purple\nBlack Purple Purple Green Purple Purple Purple Purple Purple Green Purple Black Black Green Purple Purple Green Purple Purple Purple Purple Purple Purple\nBlack Purple Green Purple Purple Purple Green Purple Green Purple Purple Black Black Purple Purple Green Green Green Purple Purple Purple Green Purple\nBlack Purple Purple Purple Purple Green Green Green Purple Purple Green Black Black Purple Purple Purple Green Purple Purple Purple Purple Purple Purple\nBlack Green Green Purple Purple Purple Green Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Black Black Purple Purple Purple Green Purple Purple Green Purple Purple Purple\nBlack Green Purple Purple Green Purple Purple Purple Green Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Green Purple Purple Purple Purple Purple Purple Green Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Purple Purple Purple Purple Purple Green Purple Purple Purple Black Black Green Green Purple Purple Green Purple Purple Purple Green Purple Black\nPurple Purple Green Purple Purple Green Green Green Purple Purple Black Black Purple Purple Purple Green Green Green Purple Purple Purple Green Black\nPurple Green Green Green Purple Purple Green Purple Green Purple Black Black Green Purple Purple Purple Green Purple Purple Purple Purple Purple Black\nPurple Purple Green Purple Purple Purple Purple Green Green Green Black Black Purple Green Purple Purple Purple Purple Purple Green Purple Purple Black\nPurple Purple Purple Purple Green Purple Purple Purple Green Purple Black Black Green Green Green Purple Purple Purple Green Green Green Purple Black\nPurple Green Purple Green Green Green Purple Purple Purple Purple Black Black Purple Green Purple Green Purple Purple Purple Green Purple Purple Black\nGreen Green Green Purple Green Purple Purple Purple Purple Green Black Black Purple Purple Green Green Green Purple Purple Purple Purple Purple Black\nPurple Green Purple Purple Purple Purple Purple Green Purple Purple Black Black Purple Purple Purple Green Purple Purple Purple Green Purple Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGreen Purple Purple Purple Purple Purple Green Purple Purple Purple\nPurple Purple Green Purple Purple Green Green Green Purple Purple\nPurple Green Green Green Purple Purple Green Purple Green Purple\nPurple Purple Green Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Green Purple Purple Purple Green Purple\nPurple Green Purple Green Green Green Purple Purple Purple Purple\nGreen Green Green Purple Green Purple Purple Purple Purple Green\nPurple Green Purple Purple Purple Purple Purple Green Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Black Black\nBlack Yellow Yellow Gray Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Black Black\nBlack Yellow Yellow Gray Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Orange Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Gray Red Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Gray Red Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Red Red Green Green Black Black Black Black Black\nBlack Blue Black Green Green Purple Purple Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Black Black\nBlack Black Black Black Blue Black Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Red Red Green Green Black Black Black Black Black\nBlack Blue Black Green Green Purple Purple Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGray Gray Black Black Black Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray\nGray Gray Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Gray Gray Gray Gray Black Gray\nBlack Gray Black Gray Black Gray Gray Black Gray Black\nGray Black Black Black Black Gray Black Black Gray Gray\nGray Gray Gray Black Gray Black Black Black Black Gray\nBlack Gray Black Black Black Black Gray Gray Gray Black\nGray Black Black Black Black Gray Black Black Gray Gray\nGray Black Black Black Black Black Gray Gray Black Black\nOutput:\nGray Gray Black Black Blue Blue Blue Gray Black Black\nBlack Black Gray Gray Blue Blue Blue Black Gray Gray\nGray Gray Black Gray Blue Blue Blue Black Gray Black\nBlack Black Black Black Gray Gray Gray Gray Black Gray\nBlack Gray Black Gray Black Gray Gray Black Gray Black\nGray Black Black Black Black Gray Blue Blue Gray Gray\nGray Gray Gray Black Gray Black Blue Blue Black Gray\nBlack Gray Blue Blue Blue Black Gray Gray Gray Black\nGray Black Blue Blue Blue Gray Black Black Gray Gray\nGray Black Blue Blue Blue Black Gray Gray Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Gray Black Black Gray Black Black Black Black Black\nGray Gray Black Black Black Gray Gray Black Gray Black\nBlack Black Black Gray Gray Black Black Gray Gray Gray\nBlack Black Gray Black Gray Gray Black Black Gray Black\nBlack Gray Black Black Black Black Black Black Gray Black\nGray Black Gray Black Black Gray Gray Gray Black Gray\nBlack Black Black Gray Black Gray Gray Black Gray Black\nBlack Black Gray Black Gray Gray Gray Black Black Black\nGray Black Gray Gray Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Black\nOutput:\nBlack Gray Blue Blue Gray Black Black Black Black Black\nGray Gray Blue Blue Black Gray Gray Black Gray Black\nBlue Blue Black Gray Gray Black Black Gray Gray Gray\nBlue Blue Gray Black Gray Gray Blue Blue Gray Black\nBlack Gray Black Blue Blue Black Blue Blue Gray Black\nGray Black Gray Blue Blue Gray Gray Gray Black Gray\nBlue Blue Black Gray Black Gray Gray Black Gray Black\nBlue Blue Gray Black Gray Gray Gray Black Black Black\nGray Black Gray Gray Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Gray Black Black Black Black Gray Black Gray\nBlack Gray Black Black Black Gray Black Black Black Gray\nBlack Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Gray Gray Black Black Gray Gray Gray Black Gray\nGray Black Black Gray Black Gray Black Black Black Black\nGray Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Gray Black\nOutput:\nBlack Black Gray Blue Blue Black Black Gray Black Gray\nBlack Gray Black Blue Blue Gray Blue Blue Blue Gray\nBlue Blue Gray Black Gray Black Blue Blue Blue Black\nBlue Blue Black Black Gray Black Blue Blue Blue Black\nBlack Gray Gray Black Black Gray Gray Gray Black Gray\nGray Black Black Gray Black Gray Black Black Blue Blue\nGray Gray Gray Gray Black Gray Gray Gray Blue Blue\nBlue Blue Blue Gray Black Black Black Black Gray Black\nBlue Blue Blue Black Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Black Black Gray Black Black Gray Black\n```\n\n***Test example:***\nInput:\nGray Black Black Black Gray Black Gray Black Gray Black\nGray Black Black Gray Black Gray Gray Black Black Black\nGray Gray Black Gray Gray Black Black Gray Gray Black\nGray Black Black Black Black Black Black Gray Black Black\nGray Black Black Black Gray Gray Black Black Black Gray\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\nGray Black Gray Black Gray Black Gray Black Black Gray\nBlack Gray Gray Black Gray Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Blue Blue Black Gray Black Gray Black Gray Black\nGray Blue Blue Gray Black Gray Gray Black Black Black\nGray Gray Black Gray Gray Blue Blue Gray Gray Black\nGray Blue Blue Blue Black Blue Blue Gray Black Black\nGray Blue Blue Blue Gray Gray Black Black Black Gray\nBlack Blue Blue Blue Blue Blue Gray Gray Blue Blue\nBlack Black Gray Gray Blue Blue Gray Gray Blue Blue\nGray Black Gray Black Gray Black Gray Black Black Gray\nBlack Gray Gray Black Gray Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black\nBlack Orange\nOutput:\nRed Black Red Black Red Black\nBlack Orange Black Orange Black Orange\nRed Black Red Black Red Black\nBlack Orange Black Orange Black Orange\nRed Black Red Black Red Black\nBlack Orange Black Orange Black Orange\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black\nBlack Black Pink\nPink Black Black\nOutput:\nBlack Red Black Black Red Black Black Red Black\nBlack Black Pink Black Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black\nBlack Red Black Black Red Black Black Red Black\nBlack Black Pink Black Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black\nBlack Red Black Black Red Black Black Red Black\nBlack Black Pink Black Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black\nBlack Purple Black Black Black\nBlack Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nOutput:\nRed Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nRed Purple Black Black Black Red Purple Black Black Black Red Purple Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nRed Purple Black Black Black Red Purple Black Black Black Red Purple Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Red Black Black Black Black\nRed Purple Black Black Black Red Purple Black Black Black Red Purple Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black\nBlack Black Gray Black\nBlack Black Black Black\nBlack Gray Black Black\nOutput:\nBlack Red Black Black Black Red Black Black Black Red Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Gray Black\nRed Black Black Black Red Black Black Black Red Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Gray Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Gray Black\nRed Black Black Black Red Black Black Black Red Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Gray Black Black\nBlack Red Black Black Black Red Black Black Black Red Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Gray Black\nRed Black Black Black Red Black Black Black Red Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Gray Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Yellow Black\nBlack Black Black Black\nBlack Black Black Black\nYellow Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nYellow Red Black Black Yellow Red Black Black Yellow Red Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nYellow Red Black Black Yellow Red Black Black Yellow Red Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Yellow Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nYellow Yellow Yellow\nBlack Black Black\nBlack Black Black\nOutput:\nYellow Yellow Gray\nGray Gray Gray\nGray Gray Gray\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Green Green Green Green Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n```\n\n[Example 3]\n```\nInput:\nOrange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nOrange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Orange Orange Orange Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n```\n\n***Test example:***\nInput:\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Pink Pink Pink Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Pink Pink Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Pink Pink Pink Pink Pink Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPink Pink Pink Orange Orange Orange Black Black Pink Black Black Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Pink Black Black Black Orange Black Black Orange Black Black Pink Orange Pink Black Orange Black\nPink Black Black Orange Pink Black Black Black Black Orange Black Black Pink Pink Black Black Black Pink Orange Pink\nOrange Black Orange Red Red Red Red Black Orange Black Orange Orange Black Orange Black Black Pink Orange Black Pink\nBlack Orange Black Red Red Red Red Orange Pink Orange Black Black Pink Orange Pink Black Orange Black Pink Black\nOrange Black Black Red Red Red Red Orange Black Black Black Black Pink Orange Black Black Black Black Black Black\nPink Pink Pink Red Red Red Red Black Orange Black Black Brown Brown Brown Orange Orange Black Orange Orange Black\nOrange Black Black Black Orange Black Black Orange Pink Black Pink Brown Brown Brown Orange Black Pink Black Black Black\nOrange Pink Black Pink Pink Orange Black Pink Black Pink Orange Brown Brown Brown Pink Black Black Black Black Black\nBlack Black Orange Orange Pink Black Orange Pink Pink Orange Pink Brown Brown Brown Black Black Black Black Black Black\nBlack Orange Orange Pink Black Black Black Black Orange Black Pink Black Pink Black Black Orange Black Orange Black Black\nBlack Pink Orange Orange Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Pink Pink\nPink Orange Orange Black Orange Pink Black Pink Black Black Black Black Black Pink Black Black Black Black Black Orange\nOrange Pink Pink Black Pink Orange Black Pink Black Pink Orange Pink Black Black Pink Orange Black Black Orange Pink\nPink Black Black Pink Black Orange Yellow Yellow Yellow Yellow Yellow Black Black Orange Pink Black Pink Black Black Black\nOrange Black Orange Black Black Black Yellow Yellow Yellow Yellow Yellow Orange Black Orange Pink Black Black Black Black Orange\nPink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Pink Black Black\nPink Orange Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Pink Orange Orange Pink Orange Black Black Black Pink\nOrange Black Black Black Pink Pink Yellow Yellow Yellow Yellow Yellow Pink Black Pink Black Black Black Black Pink Orange\nBlack Black Orange Orange Pink Black Black Pink Orange Pink Pink Black Pink Black Pink Black Orange Orange Black Black\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n```\n\n[Example 2]\n```\nInput:\nPurple Purple Purple Purple Purple Black Blue Black Blue Blue Purple Blue Blue Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Purple Blue Blue Black Black Black Purple Black Gray Gray Gray Gray Gray Purple Blue\nBlack Black Black Black Black Purple Blue Black Black Purple Blue Blue Blue Gray Gray Gray Gray Gray Purple Black\nBlue Purple Black Blue Purple Black Black Purple Purple Purple Purple Blue Purple Gray Gray Gray Gray Gray Blue Black\nBlack Purple Black Brown Brown Brown Brown Purple Black Black Black Black Black Gray Gray Gray Gray Gray Purple Black\nPurple Blue Purple Brown Brown Brown Brown Purple Blue Blue Black Blue Blue Black Purple Black Purple Purple Black Purple\nBlack Black Black Brown Brown Brown Brown Black Blue Blue Purple Purple Green Green Purple Blue Blue Black Black Blue\nPurple Blue Blue Purple Blue Purple Black Blue Black Black Black Green Green Green Blue Black Purple Blue Purple Purple\nBlack Blue Purple Purple Blue Blue Black Purple Purple Green Green Green Green Green Purple Black Black Purple Blue Black\nBlack Blue Blue Black Blue Black Black Black Purple Green Green Green Green Green Blue Blue Purple Purple Blue Black\nPurple Black Purple Black Purple Black Black Black Black Green Green Green Green Green Blue Blue Blue Black Purple Purple\nBlack Black Black Black Purple Blue Blue Blue Blue Green Green Green Green Green Blue Blue Black Blue Purple Blue\nBlack Purple Purple Black Purple Purple Blue Purple Black Green Green Green Purple Blue Blue Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Black Blue Black Black Blue Black Black Black Purple Blue Blue Blue Black\nBlack Black Blue Black Blue Black Blue Purple Purple Blue Black Black Purple Black Blue Black Blue Blue Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Purple Yellow Black Black Black Blue Black Purple Black Purple Black Blue Purple Black\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Blue Blue Black Purple Black Black Black Black Purple Blue Purple\nBlue Yellow Yellow Yellow Yellow Yellow Blue Blue Black Blue Black Blue Blue Black Black Black Black Blue Black Purple\nBlack Blue Black Black Black Blue Purple Blue Black Purple Black Blue Black Black Purple Black Black Purple Blue Black\nPurple Black Blue Black Black Blue Black Purple Black Blue Blue Black Blue Purple Black Purple Black Black Blue Black\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n```\n\n[Example 3]\n```\nInput:\nBlack Green Red Black Black Black Black Black Red Black Green Red Red Green Green Red Black Black Black Black\nRed Red Black Black Red Black Black Black Green Green Red Red Black Green Black Black Green Red Red Green\nBlack Red Purple Purple Purple Purple Purple Purple Black Black Black Red Green Green Black Red Pink Pink Black Red\nGreen Purple Purple Purple Purple Purple Purple Purple Green Black Black Green Red Green Pink Pink Pink Pink Pink Red\nBlack Purple Purple Purple Purple Purple Purple Purple Green Red Black Red Green Brown Pink Pink Pink Pink Pink Green\nRed Black Purple Purple Purple Purple Purple Purple Purple Black Black Red Black Black Pink Pink Pink Pink Pink Black\nBlack Red Black Purple Purple Purple Purple Purple Purple Red Red Black Pink Pink Pink Pink Pink Pink Pink Red\nBlack Black Red Green Purple Purple Purple Purple Purple Purple Black Green Black Pink Pink Pink Pink Pink Pink Green\nBlack Black Black Red Black Black Red Black Black Red Black Green Green Pink Pink Pink Black Black Black Black\nBlack Black Red Red Black Green Black Green Green Black Black Black Black Black Black Black Black Green Black Black\nBlack Red Green Red Red Green Green Red Red Black Red Red Black Red Black Black Red Black Red Red\nGreen Black Black Green Red Black Green Black Black Red Yellow Yellow Yellow Black Black Black Red Black Red Green\nBlack Black Black Black Red Black Red Black Black Yellow Yellow Yellow Yellow Black Black Green Black Red Black Red\nGreen Red Black Black Black Green Black Black Yellow Yellow Yellow Yellow Yellow Green Red Green Red Black Red Black\nGreen Red Red Black Red Black Black Black Yellow Yellow Yellow Yellow Yellow Green Red Black Green Black Red Red\nRed Green Black Black Red Red Black Green Black Yellow Yellow Yellow Yellow Green Red Black Black Black Green Red\nRed Red Black Green Black Red Black Green Black Red Green Red Red Red Black Red Red Green Black Green\nRed Red Black Black Black Black Black Green Red Green Black Red Black Black Black Red Black Red Red Red\nBlack Black Black Black Black Black Green Green Red Green Green Green Red Black Black Green Black Red Green Green\nBlack Black Green Red Black Black Red Red Red Black Green Black Black Red Black Green Black Green Black Black\nOutput:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\n```\n\n***Test example:***\nInput:\nBlack Brown Brown Orange Black Black Brown Orange Orange Orange Black Orange Black Black Orange Black Brown Black Black Black\nBlack Black Orange Green Green Green Green Black Orange Orange Black Black Black Black Pink Pink Pink Pink Black Brown\nBlack Orange Brown Green Green Green Green Green Green Black Brown Brown Orange Black Pink Pink Pink Pink Black Orange\nBlack Brown Black Green Green Green Green Green Green Green Orange Black Orange Pink Pink Pink Pink Pink Black Black\nBrown Black Black Orange Black Brown Orange Orange Black Orange Orange Black Black Black Brown Pink Pink Pink Orange Orange\nBlack Black Brown Orange Black Brown Brown Black Black Orange Black Black Brown Black Black Pink Pink Pink Black Orange\nBlack Brown Black Brown Black Black Orange Black Black Brown Black Black Black Black Black Brown Brown Black Black Black\nBlack Brown Black Black Brown Orange Black Black Black Brown Orange Black Brown Brown Black Orange Black Black Black Black\nBlack Orange Purple Purple Purple Purple Brown Brown Black Orange Black Black Brown Orange Orange Black Black Brown Orange Orange\nBrown Black Brown Purple Purple Purple Orange Orange Black Orange Black Black Brown Black Black Brown Black Orange Black Black\nBlack Black Brown Purple Purple Purple Black Brown Black Brown Black Black Orange Gray Gray Black Black Brown Black Brown\nBlack Black Brown Purple Purple Purple Brown Black Black Black Black Brown Gray Gray Gray Orange Black Black Black Brown\nBrown Black Black Purple Purple Purple Black Orange Brown Brown Orange Black Gray Gray Gray Gray Black Black Black Orange\nBrown Brown Brown Orange Brown Purple Purple Black Brown Orange Black Gray Gray Gray Gray Gray Brown Black Orange Black\nBlack Black Orange Orange Black Orange Purple Black Black Black Orange Gray Gray Gray Gray Gray Gray Brown Black Brown\nBrown Orange Orange Black Brown Black Orange Brown Orange Black Brown Gray Gray Gray Gray Gray Gray Black Black Brown\nBlack Orange Orange Black Black Orange Brown Black Orange Black Brown Orange Gray Gray Gray Gray Gray Brown Orange Brown\nBlack Black Orange Orange Orange Black Black Brown Black Brown Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Orange Brown Black Black Black Brown Brown Gray Gray Gray Black Brown Black Brown Black\nBlack Black Brown Black Orange Black Black Brown Orange Black Black Orange Black Black Orange Brown Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nOrange Purple Yellow Purple Purple Green Gray Pink Red Green Orange Gray Pink Brown Orange Orange Brown Pink Green Blue\nGray Gray Purple Yellow Gray Purple Green Blue Orange Brown Red Red Brown Gray Brown Green Brown Pink Yellow Brown\nBlue Pink Pink Pink Gray Orange Red Yellow Yellow Gray Blue Blue Gray Green Gray Gray Brown Orange Pink Pink\nPink Green Purple Pink Gray Purple Yellow Yellow Gray Yellow Green Gray Purple Red Blue Gray Pink Red Blue Orange\nGreen Gray Yellow Blue Gray Brown Green Yellow Pink Gray Gray Red Yellow Purple Red Green Brown Orange Blue Green\nRed Purple Brown Yellow Orange Brown Purple Purple Blue Purple Blue Green Orange Yellow Orange Blue Red Pink Gray Pink\nGreen Green Pink Gray Red Orange Yellow Purple Black Black Red Pink Gray Yellow Gray Blue Purple Orange Brown Purple\nRed Pink Green Green Gray Gray Orange Purple Black Black Gray Brown Brown Gray Yellow Brown Brown Yellow Pink Blue\nRed Green Yellow Gray Brown Blue Blue Orange Green Purple Orange Green Green Brown Pink Purple Orange Yellow Green Green\nBrown Yellow Red Orange Red Brown Gray Orange Purple Purple Green Blue Red Yellow Purple Pink Purple Green Brown Pink\nBlue Blue Brown Orange Green Pink Yellow Green Green Red Gray Green Brown Gray Blue Blue Brown Orange Gray Green\nOrange Purple Purple Green Pink Brown Orange Pink Brown Brown Green Yellow Blue Orange Pink Green Pink Red Blue Yellow\nGreen Gray Orange Yellow Green Green Yellow Gray Orange Red Brown Red Gray Green Yellow Gray Pink Brown Brown Pink\nYellow Red Gray Gray Orange Blue Yellow Orange Brown Brown Brown Gray Red Green Red Purple Gray Brown Orange Orange\nPurple Gray Orange Gray Purple Blue Red Yellow Yellow Green Blue Brown Brown Brown Brown Purple Blue Gray Blue Orange\nGray Yellow Gray Blue Purple Red Pink Yellow Yellow Gray Red Gray Purple Purple Purple Red Yellow Pink Gray Orange\nYellow Gray Orange Orange Brown Gray Gray Orange Red Red Red Yellow Green Yellow Orange Green Purple Red Purple Blue\nBrown Gray Brown Pink Purple Blue Pink Red Blue Brown Yellow Purple Purple Orange Gray Blue Green Blue Pink Yellow\nOrange Orange Blue Pink Pink Orange Green Yellow Orange Gray Purple Yellow Purple Yellow Yellow Green Gray Pink Yellow Red\nYellow Green Orange Purple Green Yellow Gray Gray Purple Yellow Orange Brown Yellow Brown Yellow Brown Green Brown Purple Orange\nOutput:\nOrange Purple Yellow Purple Purple Green Gray Pink Red Black Orange Gray Pink Brown Orange Orange Brown Pink Green Blue\nGray Gray Purple Yellow Gray Purple Green Blue Black Black Red Red Brown Gray Brown Green Brown Pink Yellow Brown\nBlue Pink Pink Pink Gray Orange Red Yellow Black Black Blue Blue Gray Green Gray Gray Brown Orange Pink Pink\nPink Green Purple Pink Gray Purple Yellow Yellow Black Black Green Gray Purple Red Blue Gray Pink Red Blue Orange\nGreen Gray Yellow Blue Gray Brown Green Yellow Black Black Gray Red Yellow Purple Red Green Brown Orange Blue Green\nRed Purple Brown Yellow Orange Brown Purple Purple Black Black Blue Green Orange Yellow Orange Blue Red Pink Gray Pink\nBlack Black Black Black Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Yellow Gray Brown Blue Blue Orange Black Black Orange Green Green Brown Pink Purple Orange Yellow Green Green\nBrown Yellow Red Orange Red Brown Gray Orange Black Black Green Blue Red Yellow Purple Pink Purple Green Brown Pink\nBlue Blue Brown Orange Green Pink Yellow Green Black Red Gray Green Brown Gray Blue Blue Brown Orange Gray Green\nOrange Purple Purple Green Pink Brown Orange Pink Black Black Green Yellow Blue Orange Pink Green Pink Red Blue Yellow\nGreen Gray Orange Yellow Green Green Yellow Gray Black Red Brown Red Gray Green Yellow Gray Pink Brown Brown Pink\nYellow Red Gray Gray Orange Blue Yellow Orange Black Black Brown Gray Red Green Red Purple Gray Brown Orange Orange\nPurple Gray Orange Gray Purple Blue Red Yellow Black Black Blue Brown Brown Brown Brown Purple Blue Gray Blue Orange\nGray Yellow Gray Blue Purple Red Pink Yellow Black Black Red Gray Purple Purple Purple Red Yellow Pink Gray Orange\nYellow Gray Orange Orange Brown Gray Gray Orange Red Red Red Yellow Green Yellow Orange Green Purple Red Purple Blue\nBrown Gray Brown Pink Purple Blue Pink Red Black Black Yellow Purple Purple Orange Gray Blue Green Blue Pink Yellow\nOrange Orange Blue Pink Pink Orange Green Yellow Black Black Purple Yellow Purple Yellow Yellow Green Gray Pink Yellow Red\nYellow Green Orange Purple Green Yellow Gray Gray Black Black Orange Brown Yellow Brown Yellow Brown Green Brown Purple Orange\n```\n\n[Example 2]\n```\nInput:\nGray Red Gray Red Gray Yellow Green Purple Red Orange Green Orange Gray Pink Red Blue Brown Green Red Blue\nBlue Red Green Pink Gray Red Red Gray Purple Brown Purple Gray Purple Orange Brown Red Pink Gray Gray Gray\nGreen Blue Brown Orange Brown Purple Purple Orange Blue Brown Orange Green Brown Orange Gray Brown Purple Yellow Brown Purple\nGray Orange Orange Purple Green Yellow Yellow Yellow Yellow Pink Red Brown Yellow Green Pink Purple Yellow Pink Orange Blue\nPink Green Purple Green Gray Brown Orange Gray Yellow Pink Blue Brown Green Brown Orange Orange Pink Orange Purple Blue\nPink Red Yellow Brown Purple Green Brown Blue Yellow Purple Brown Brown Pink Gray Brown Blue Brown Orange Gray Orange\nPink Red Purple Green Yellow Pink Yellow Purple Brown Green Brown Green Pink Brown Red Red Brown Blue Brown Green\nRed Yellow Orange Orange Purple Blue Yellow Orange Pink Red Purple Brown Purple Purple Orange Yellow Purple Yellow Brown Blue\nRed Blue Gray Brown Red Pink Purple Green Pink Yellow Gray Purple Pink Green Blue Yellow Gray Blue Gray Blue\nBrown Yellow Brown Gray Blue Red Purple Red Blue Yellow Red Brown Brown Pink Blue Brown Brown Orange Red Blue\nPink Pink Red Green Orange Green Orange Gray Yellow Green Red Yellow Yellow Orange Orange Orange Pink Orange Pink Orange\nRed Yellow Green Blue Yellow Purple Black Black Brown Pink Green Red Yellow Yellow Purple Orange Red Brown Yellow Red\nGreen Gray Orange Purple Red Yellow Black Black Blue Pink Yellow Orange Yellow Orange Red Green Brown Yellow Gray Red\nPurple Blue Yellow Green Brown Pink Brown Brown Purple Gray Yellow Green Gray Red Pink Purple Brown Brown Yellow Purple\nBlue Red Pink Brown Purple Brown Blue Yellow Green Green Pink Red Green Orange Green Blue Purple Blue Yellow Gray\nGreen Purple Yellow Yellow Yellow Brown Pink Blue Pink Orange Brown Yellow Red Pink Red Brown Green Blue Gray Blue\nRed Orange Gray Purple Purple Purple Pink Green Yellow Pink Green Orange Brown Red Blue Blue Orange Red Gray Brown\nRed Blue Orange Red Blue Green Gray Gray Green Pink Red Purple Green Pink Brown Gray Gray Brown Purple Yellow\nGreen Green Green Pink Pink Green Pink Gray Brown Yellow Orange Red Yellow Yellow Orange Orange Pink Blue Red Brown\nRed Gray Purple Brown Orange Brown Orange Red Green Red Red Pink Pink Orange Brown Purple Brown Blue Blue Pink\nOutput:\nGray Red Gray Red Gray Yellow Black Black Red Orange Green Orange Gray Pink Red Blue Brown Green Red Blue\nBlue Red Green Pink Gray Red Red Black Purple Brown Purple Gray Purple Orange Brown Red Pink Gray Gray Gray\nGreen Blue Brown Orange Brown Purple Black Black Blue Brown Orange Green Brown Orange Gray Brown Purple Yellow Brown Purple\nGray Orange Orange Purple Green Yellow Black Black Yellow Pink Red Brown Yellow Green Pink Purple Yellow Pink Orange Blue\nPink Green Purple Green Gray Brown Black Black Yellow Pink Blue Brown Green Brown Orange Orange Pink Orange Purple Blue\nPink Red Yellow Brown Purple Green Black Black Yellow Purple Brown Brown Pink Gray Brown Blue Brown Orange Gray Orange\nPink Red Purple Green Yellow Pink Black Black Brown Green Brown Green Pink Brown Red Red Brown Blue Brown Green\nRed Yellow Orange Orange Purple Blue Black Black Pink Red Purple Brown Purple Purple Orange Yellow Purple Yellow Brown Blue\nRed Blue Gray Brown Red Pink Black Black Pink Yellow Gray Purple Pink Green Blue Yellow Gray Blue Gray Blue\nBrown Yellow Brown Gray Blue Red Black Red Blue Yellow Red Brown Brown Pink Blue Brown Brown Orange Red Blue\nPink Pink Red Green Orange Green Black Black Yellow Green Red Yellow Yellow Orange Orange Orange Pink Orange Pink Orange\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Red\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\nPurple Blue Yellow Green Brown Pink Black Black Purple Gray Yellow Green Gray Red Pink Purple Brown Brown Yellow Purple\nBlue Red Pink Brown Purple Brown Black Black Green Green Pink Red Green Orange Green Blue Purple Blue Yellow Gray\nGreen Purple Yellow Yellow Yellow Brown Black Black Pink Orange Brown Yellow Red Pink Red Brown Green Blue Gray Blue\nRed Orange Gray Purple Purple Purple Black Black Yellow Pink Green Orange Brown Red Blue Blue Orange Red Gray Brown\nRed Blue Orange Red Blue Green Black Black Green Pink Red Purple Green Pink Brown Gray Gray Brown Purple Yellow\nGreen Green Green Pink Pink Green Black Black Brown Yellow Orange Red Yellow Yellow Orange Orange Pink Blue Red Brown\nRed Gray Purple Brown Orange Brown Black Red Green Red Red Pink Pink Orange Brown Purple Brown Blue Blue Pink\n```\n\n[Example 3]\n```\nInput:\nGreen Gray Brown Green Pink Brown Green Green Orange Green Orange Brown Pink Gray Green Blue Pink Gray Blue Pink\nBlue Brown Brown Green Blue Red Brown Yellow Yellow Orange Brown Brown Orange Green Red Orange Gray Blue Yellow Pink\nBrown Green Orange Red Yellow Yellow Purple Green Green Pink Green Orange Orange Gray Yellow Gray Yellow Yellow Gray Blue\nPurple Red Blue Blue Blue Yellow Green Red Red Brown Orange Red Red Blue Red Pink Yellow Purple Orange Pink\nGreen Blue Green Blue Orange Pink Yellow Orange Gray Blue Purple Red Pink Red Black Black Gray Red Gray Gray\nOrange Purple Orange Green Yellow Red Gray Pink Red Red Green Blue Gray Pink Black Black Gray Green Purple Pink\nOrange Blue Yellow Purple Red Green Green Pink Pink Green Orange Orange Brown Green Gray Orange Pink Yellow Green Purple\nPink Green Green Orange Yellow Purple Red Purple Orange Pink Yellow Blue Purple Gray Yellow Green Yellow Gray Yellow Blue\nPurple Blue Red Pink Brown Gray Brown Yellow Pink Purple Red Pink Purple Brown Blue Green Purple Yellow Orange Yellow\nPink Orange Orange Red Brown Purple Orange Gray Pink Green Orange Orange Green Orange Brown Blue Gray Blue Red Red\nBlue Red Red Gray Purple Purple Yellow Red Green Gray Red Red Pink Orange Red Pink Green Pink Green Brown\nGreen Pink Brown Blue Purple Yellow Pink Gray Orange Brown Red Brown Orange Yellow Yellow Red Brown Yellow Yellow Pink\nRed Pink Gray Red Pink Pink Purple Orange Pink Pink Blue Gray Red Brown Blue Green Green Yellow Brown Orange\nRed Brown Purple Blue Orange Green Red Brown Pink Pink Brown Orange Orange Red Red Pink Orange Gray Brown Gray\nYellow Yellow Blue Gray Red Orange Pink Green Gray Orange Red Blue Pink Blue Gray Purple Purple Purple Purple Orange\nOrange Gray Red Green Purple Pink Brown Red Green Brown Brown Gray Pink Pink Orange Purple Brown Gray Purple Yellow\nPink Orange Blue Brown Red Blue Red Blue Pink Yellow Gray Purple Blue Blue Blue Pink Orange Brown Purple Purple\nOrange Pink Gray Purple Green Gray Brown Pink Yellow Brown Pink Purple Orange Brown Blue Orange Brown Brown Blue Red\nBlue Yellow Purple Yellow Red Red Pink Green Gray Pink Pink Orange Gray Purple Orange Green Pink Blue Orange Orange\nGray Green Green Yellow Purple Brown Purple Brown Gray Green Red Red Gray Purple Blue Purple Yellow Pink Orange Green\nOutput:\nGreen Gray Brown Green Pink Brown Green Green Orange Green Orange Brown Pink Gray Black Black Pink Gray Blue Pink\nBlue Brown Brown Green Blue Red Brown Yellow Yellow Orange Brown Brown Orange Green Red Black Gray Blue Yellow Pink\nBrown Green Orange Red Yellow Yellow Purple Green Green Pink Green Orange Orange Gray Black Black Yellow Yellow Gray Blue\nPurple Red Blue Blue Blue Yellow Green Red Red Brown Orange Red Red Blue Red Black Yellow Purple Orange Pink\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Blue Yellow Purple Red Green Green Pink Pink Green Orange Orange Brown Green Black Black Pink Yellow Green Purple\nPink Green Green Orange Yellow Purple Red Purple Orange Pink Yellow Blue Purple Gray Black Black Yellow Gray Yellow Blue\nPurple Blue Red Pink Brown Gray Brown Yellow Pink Purple Red Pink Purple Brown Black Black Purple Yellow Orange Yellow\nPink Orange Orange Red Brown Purple Orange Gray Pink Green Orange Orange Green Orange Black Black Gray Blue Red Red\nBlue Red Red Gray Purple Purple Yellow Red Green Gray Red Red Pink Orange Red Black Green Pink Green Brown\nGreen Pink Brown Blue Purple Yellow Pink Gray Orange Brown Red Brown Orange Yellow Black Red Brown Yellow Yellow Pink\nRed Pink Gray Red Pink Pink Purple Orange Pink Pink Blue Gray Red Brown Black Black Green Yellow Brown Orange\nRed Brown Purple Blue Orange Green Red Brown Pink Pink Brown Orange Orange Red Red Black Orange Gray Brown Gray\nYellow Yellow Blue Gray Red Orange Pink Green Gray Orange Red Blue Pink Blue Black Black Purple Purple Purple Orange\nOrange Gray Red Green Purple Pink Brown Red Green Brown Brown Gray Pink Pink Black Black Brown Gray Purple Yellow\nPink Orange Blue Brown Red Blue Red Blue Pink Yellow Gray Purple Blue Blue Black Black Orange Brown Purple Purple\nOrange Pink Gray Purple Green Gray Brown Pink Yellow Brown Pink Purple Orange Brown Black Black Brown Brown Blue Red\nBlue Yellow Purple Yellow Red Red Pink Green Gray Pink Pink Orange Gray Purple Black Black Pink Blue Orange Orange\nGray Green Green Yellow Purple Brown Purple Brown Gray Green Red Red Gray Purple Black Black Yellow Pink Orange Green\n```\n\n***Test example:***\nInput:\nYellow Gray Orange Gray Brown Red Green Blue Orange Purple Pink Brown Yellow Red Yellow Red Gray Blue Red Orange\nBrown Blue Orange Gray Gray Blue Red Orange Blue Brown Blue Orange Yellow Purple Yellow Orange Red Brown Gray Purple\nBrown Blue Purple Pink Brown Yellow Orange Pink Brown Gray Gray Gray Purple Blue Yellow Purple Yellow Orange Purple Gray\nYellow Red Brown Gray Gray Red Purple Red Orange Orange Brown Pink Blue Yellow Brown Purple Green Green Brown Red\nBlue Brown Red Green Purple Yellow Green Blue Blue Green Yellow Pink Green Gray Blue Blue Red Pink Yellow Pink\nBlue Yellow Green Gray Pink Blue Blue Blue Blue Pink Orange Green Brown Gray Purple Green Gray Pink Red Brown\nOrange Orange Blue Brown Red Yellow Pink Brown Blue Gray Gray Purple Gray Red Red Red Yellow Red Blue Red\nRed Brown Pink Blue Red Brown Yellow Purple Red Orange Purple Red Gray Orange Green Red Red Yellow Orange Orange\nYellow Red Pink Pink Purple Brown Red Blue Green Red Yellow Gray Purple Green Orange Yellow Purple Gray Red Blue\nGreen Red Yellow Purple Brown Purple Brown Gray Red Blue Pink Purple Blue Red Gray Orange Brown Blue Purple Gray\nBlue Green Orange Red Orange Green Gray Red Green Brown Green Red Orange Red Blue Orange Brown Purple Gray Orange\nBlue Pink Yellow Pink Pink Gray Gray Brown Red Green Red Yellow Pink Orange Green Brown Brown Brown Pink Pink\nPurple Pink Gray Red Red Green Red Blue Yellow Brown Pink Brown Yellow Brown Orange Orange Blue Gray Brown Green\nGreen Orange Orange Gray Brown Purple Orange Yellow Red Red Brown Gray Black Black Purple Pink Orange Pink Pink Orange\nPink Brown Gray Pink Green Orange Gray Orange Brown Purple Brown Gray Black Black Yellow Red Green Green Red Pink\nRed Purple Gray Green Gray Pink Orange Blue Yellow Orange Yellow Yellow Brown Gray Blue Green Yellow Yellow Yellow Orange\nOrange Purple Yellow Orange Brown Gray Orange Purple Orange Yellow Pink Purple Gray Green Green Blue Yellow Blue Brown Orange\nYellow Gray Brown Brown Yellow Gray Gray Orange Brown Purple Gray Purple Purple Pink Red Purple Green Orange Red Yellow\nBlue Pink Blue Yellow Green Pink Gray Yellow Blue Orange Yellow Orange Purple Pink Gray Brown Gray Yellow Brown Brown\nRed Brown Red Pink Orange Purple Brown Brown Pink Yellow Gray Purple Orange Gray Yellow Green Pink Green Brown Gray\n```output",
"role": "user"
},
{
"content": "Output:\nYellow Gray Orange Gray Brown Red Green Blue Orange Purple Pink Brown Black Red Yellow Red Gray Blue Red Orange\nBrown Blue Orange Gray Gray Blue Red Orange Blue Brown Blue Orange Black Black Yellow Orange Red Brown Gray Purple\nBrown Blue Purple Pink Brown Yellow Orange Pink Brown Gray Gray Gray Black Black Yellow Purple Yellow Orange Purple Gray\nYellow Red Brown Gray Gray Red Purple Red Orange Orange Brown Pink Black Black Brown Purple Green Green Brown Red\nBlue Brown Red Green Purple Yellow Green Blue Blue Green Yellow Pink Black Black Blue Blue Red Pink Yellow Pink\nBlue Yellow Green Gray Pink Blue Blue Blue Blue Pink Orange Green Black Black Purple Green Gray Pink Red Brown\nOrange Orange Blue Brown Red Yellow Pink Brown Blue Gray Gray Purple Black Red Red Red Yellow Red Blue Red\nRed Brown Pink Blue Red Brown Yellow Purple Red Orange Purple Red Black Black Green Red Red Yellow Orange Orange\nYellow Red Pink Pink Purple Brown Red Blue Green Red Yellow Gray Black Black Orange Yellow Purple Gray Red Blue\nGreen Red Yellow Purple Brown Purple Brown Gray Red Blue Pink Purple Black Red Gray Orange Brown Blue Purple Gray\nBlue Green Orange Red Orange Green Gray Red Green Brown Green Red Black Red Blue Orange Brown Purple Gray Orange\nBlue Pink Yellow Pink Pink Gray Gray Brown Red Green Red Yellow Black Black Green Brown Brown Brown Pink Pink\nPurple Pink Gray Red Red Green Red Blue Yellow Brown Pink Brown Black Black Orange Orange Blue Gray Brown Green\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black\nRed Purple Gray Green Gray Pink Orange Blue Yellow Orange Yellow Yellow Black Black Blue Green Yellow Yellow Yellow Orange\nOrange Purple Yellow Orange Brown Gray Orange Purple Orange Yellow Pink Purple Black Black Green Blue Yellow Blue Brown Orange\nYellow Gray Brown Brown Yellow Gray Gray Orange Brown Purple Gray Purple Black Black Red Purple Green Orange Red Yellow\nBlue Pink Blue Yellow Green Pink Gray Yellow Blue Orange Yellow Orange Black Black Gray Brown Gray Yellow Brown Brown\nRed Brown Red Pink Orange Purple Brown Brown Pink Yellow Gray Purple Black Black Yellow Green Pink Green Brown Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBrown Brown Black Brown Black\nBrown Black Black Brown Black\nBlack Brown Brown Brown Brown\nYellow Black Black Yellow Black\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Black Yellow\nOutput:\nBlack Pink Black Black Black\nBlack Pink Black Black Pink\nPink Black Black Pink Black\n```\n\n[Example 2]\n```\nInput:\nBrown Black Black Brown Brown\nBlack Black Black Black Black\nBlack Black Brown Black Brown\nBlack Black Yellow Yellow Black\nYellow Yellow Yellow Black Black\nYellow Black Yellow Black Yellow\nOutput:\nPink Black Pink Black Pink\nPink Pink Pink Black Black\nPink Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Brown Black Black Black\nBlack Brown Brown Black Brown\nBrown Black Black Black Brown\nYellow Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Black\nYellow Yellow Black Black Black\nOutput:\nPink Black Black Pink Black\nBlack Black Black Pink Pink\nBlack Pink Black Black Pink\n```\n\n[Example 4]\n```\nInput:\nBlack Black Brown Brown Black\nBrown Brown Black Brown Brown\nBlack Brown Black Black Black\nYellow Yellow Black Black Black\nYellow Black Yellow Yellow Yellow\nBlack Yellow Black Black Yellow\nOutput:\nPink Pink Pink Pink Black\nBlack Pink Pink Black Black\nBlack Black Black Black Pink\n```\n\n[Example 5]\n```\nInput:\nBlack Brown Brown Black Black\nBrown Black Black Black Brown\nBrown Black Black Black Black\nBlack Black Yellow Black Yellow\nYellow Yellow Black Yellow Black\nYellow Black Yellow Yellow Black\nOutput:\nBlack Pink Black Black Pink\nBlack Pink Black Pink Pink\nBlack Black Pink Pink Black\n```\n\n***Test example:***\nInput:\nBrown Brown Black Brown Black\nBlack Black Brown Black Brown\nBlack Black Black Brown Brown\nYellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Pink Pink Pink\nPink Black Black Pink Black\nPink Pink Black Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Red Red Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Orange Orange Orange Purple Purple Black Black Black Black Black Purple Purple Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Red Red Orange Orange Orange Purple Purple Black Black Black Black Black Purple Purple Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Red Red Black Black Black Purple Purple Black Black Black\nBlack Purple Purple Black Black Black Black Black Red Red Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Red Red Orange Orange Orange Purple Purple Black Black Black\nBlack Purple Purple Black Black Black Black Black Red Red Orange Orange Orange Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Orange Orange Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Purple Purple Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Purple Purple Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Red Red Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Orange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Orange Orange Orange Orange Orange Orange Orange Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue\nBlue Black Blue Black Blue\nBlue Blue Blue Blue Blue\nBlue Black Blue Black Blue\nBlue Blue Blue Blue Blue\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Red Black Black Black Red Black Black Black Red Black Black\nBlack Green Red Red Black Red Red Red Black Red Red Red Black\nGreen Green Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Black Black Black Red Black Black Black Red Black Black\nBlack Green Green Red Black Red Red Red Black Red Red Red Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Black Black Black Red Black Black Black Red Black Black\nBlack Green Green Green Black Red Red Red Black Red Red Red Black\nGreen Green Green Green Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Black Black Black Red Black Black Black Red Black Black\nBlack Green Green Green Black Red Red Red Black Red Red Red Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Green Black Black Black Red Black Black Black Red Black Black\nBlack Green Green Green Black Green Red Red Black Red Red Red Black\nGreen Green Green Green Green Green Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Black Black Black Blue Blue Blue Black Black Black Black Purple Black Black\nBlack Purple Purple Purple Black Black Black Black Blue Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Purple Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Black Black Black Black Purple Purple Purple Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Red Red Black Black Black\nBlack Red Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Green Black Black Black\nBlack Black Black Black Red Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Black Green Black Black Black\nBlack Green Green Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Red Red Black Black Black\nBlack Black Black Black Green Green Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Green Black Green Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Purple Black Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Black Purple Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Orange Black\nBlack Black Blue Black Black Blue Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Blue Black Black\nBlack Orange Black Black Orange Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Gray Black Gray Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Pink Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Black Pink Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Gray Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Blue Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Blue Blue Blue Black Blue Blue Blue Black Green Green Green Black Blue Blue Blue Black Black\nBlack Black Red Black Red Black Blue Black Blue Black Blue Black Blue Black Green Black Green Black Blue Black Blue Black Black\nBlack Black Red Red Red Black Blue Blue Blue Black Blue Blue Blue Black Green Green Green Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Red Red Red Black Red Red Red Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Black Blue Black Red Black Red Black Red Black Red Black Blue Black Blue Black Blue Black Blue Black Black\nBlack Black Blue Blue Blue Black Red Red Red Black Red Red Red Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Blue Blue Blue Black Red Red Red Black Green Green Green Black Red Red Red Black Black\nBlack Black Red Black Red Black Blue Black Blue Black Red Black Red Black Green Black Green Black Red Black Red Black Black\nBlack Black Red Red Red Black Blue Blue Blue Black Red Red Red Black Green Green Green Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Blue Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Blue Purple Blue Purple Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Purple Purple Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Yellow Blue Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Blue Blue Yellow Yellow Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Purple Purple Purple Black Blue Blue Blue Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Purple Black Black Black Blue Black Black Black Purple Black Black Black\nBlack Blue Purple Blue Purple Black Blue Blue Blue Black Purple Purple Purple Black Blue Blue Blue Black Purple Purple Purple Black Black\nBlack Purple Purple Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Yellow Blue Black Purple Purple Purple Black Purple Purple Purple Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Yellow Yellow Black Black Purple Black Black Black Purple Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Yellow Yellow Yellow Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black Yellow Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Yellow Yellow Yellow Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black\nBlack Red Blue Red Red Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Purple Blue Yellow Yellow Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Green Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Green Blue Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black\nBlack Purple Blue Blue Blue Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Blue Blue Blue Black Red Red Red Black Red Red Red Black\nBlack Red Blue Red Red Black Black Red Black Red Black Blue Black Blue Black Red Black Red Black Red Black Red Black\nBlack Purple Blue Yellow Yellow Black Black Red Black Red Black Blue Black Blue Black Red Black Red Black Red Black Red Black\nBlack Green Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Green Blue Black Black Purple Purple Purple Black Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Purple Blue Blue Blue Black Black Purple Black Purple Black Blue Black Blue Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Blue Black Blue Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Green Black Green Black Blue Black Blue Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Green Black Green Black Blue Black Blue Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Blue Blue Blue Black Green Green Green Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Blue Black Blue Black Green Black Green Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Blue Black Blue Black Green Black Green Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Black Black Yellow Black Gray Gray Black\nPurple Purple Black Purple Yellow Black Black Gray Gray\nBlack Black Black Black Yellow Black Black Gray Black\nPurple Purple Black Black Yellow Black Gray Gray Gray\nPurple Black Black Purple Yellow Black Black Black Gray\nOutput:\nRed Black Red Black\nRed Red Red Black\nBlack Black Red Black\nRed Black Red Red\nRed Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Purple Black Black Yellow Gray Black Gray Black\nBlack Purple Black Purple Yellow Gray Black Gray Gray\nBlack Purple Black Purple Yellow Black Black Black Gray\nBlack Purple Black Purple Yellow Black Gray Black Gray\nBlack Black Black Purple Yellow Black Black Gray Black\nOutput:\nRed Red Red Black\nRed Red Red Black\nBlack Red Black Black\nBlack Black Black Black\nBlack Black Red Red\n```\n\n[Example 3]\n```\nInput:\nBlack Purple Black Black Yellow Black Gray Gray Black\nPurple Purple Black Purple Yellow Gray Black Black Gray\nPurple Purple Black Black Yellow Gray Black Black Gray\nBlack Purple Black Purple Yellow Black Black Gray Black\nBlack Black Purple Black Yellow Black Gray Black Gray\nOutput:\nBlack Black Red Black\nBlack Red Black Black\nBlack Red Black Red\nBlack Red Red Red\nBlack Red Red Red\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Purple Yellow Black Gray Gray Gray\nBlack Purple Purple Purple Yellow Black Gray Black Black\nPurple Black Black Black Yellow Black Gray Black Gray\nPurple Black Purple Purple Yellow Gray Gray Gray Black\nBlack Purple Purple Black Yellow Gray Black Black Gray\nOutput:\nBlack Red Red Black\nBlack Black Red Red\nRed Red Black Red\nBlack Red Black Red\nRed Red Red Red\n```\n\n***Test example:***\nInput:\nBlack Purple Black Black Yellow Gray Black Black Black\nBlack Purple Black Purple Yellow Gray Gray Black Gray\nPurple Purple Black Purple Yellow Black Black Gray Gray\nPurple Purple Purple Purple Yellow Gray Black Gray Gray\nBlack Black Purple Purple Yellow Gray Black Gray Black\n```output",
"role": "user"
},
{
"content": "Output:\nRed Red Black Black\nRed Black Black Black\nRed Red Red Black\nBlack Red Black Black\nRed Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Black Orange Black Black Black Black Orange Black Orange Orange Orange Black\nBlack Black Black Orange Black Orange Orange Orange Black Black Black Black Orange Orange Orange Black Orange Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Black Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nOrange Orange Orange Orange Orange\nOrange Black Orange Orange Orange\nOrange Orange Orange Black Orange\nOrange Black Orange Orange Orange\nOrange Orange Orange Orange Orange\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Black Purple Purple Purple\nBlack Purple Black Purple Black Purple Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple\nBlack Purple Purple Purple Purple Purple Black Black Purple Black Purple Black Purple Black Purple Black Purple Purple Purple\nBlack Purple Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Black Purple Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Purple Black Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Black Purple Black Black\nBlack Black Black Purple Black Purple Black Purple Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Purple Purple\nPurple Black Purple Black Purple\nPurple Purple Purple Purple Purple\nPurple Black Purple Black Purple\nPurple Purple Purple Purple Purple\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Black Pink Black Pink Black Black\nBlack Pink Black Pink Black Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink\nBlack Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nOutput:\nPink Pink Pink Pink Pink\nPink Black Pink Black Pink\nPink Pink Pink Pink Pink\nPink Black Pink Pink Pink\nPink Pink Pink Pink Pink\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Red Black Red Red Red Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Red Red Red Red Red Black Red Red Red Red Red\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Black Red\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Red Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Red Red Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Red Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Red Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Black Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\n```\n\n***Test example:***\nInput:\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Blue Black Blue Black Blue Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlue Black Blue Black Blue Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue\nBlue Black Blue Black Blue Black Black Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Blue Blue Blue Blue\nBlue Black Blue Black Blue\nBlue Blue Blue Blue Blue\nBlue Black Blue Black Blue\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Purple Purple Purple Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Blue Blue Blue Black Green Green Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Green Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Red Black Black Red Black Black Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Blue Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Purple Black Black Purple Black Purple Black Black Black Purple Black Purple Purple Purple Black\nBlack Black Purple Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Purple Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Purple Black Black Purple Black Black\nBlack Black Black Black Black Purple Purple Black Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Black Purple Black Black Black Purple Black Purple Purple Purple Black Purple Black\nBlack Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Purple Black\nBlack Purple Purple Purple Purple Purple Black Black Black Purple Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Black\nBlack Black Red Black Black Red Black Red Black Black Black Green Black Green Green Green Black\nBlack Black Red Black Black Red Red Red Black Black Black Green Green Green Black Green Black\nBlack Black Red Red Red Red Red Red Black Black Black Green Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Red Red Black Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Red Red Red Black Red Black Black Black Orange Black Orange Orange Orange Black Orange Black\nBlack Red Black Red Red Red Black Black Black Orange Orange Orange Black Orange Black Orange Black\nBlack Red Red Red Red Red Black Black Black Orange Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Purple Black Purple Black Black Purple Black Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Black Black Black Purple Black Purple Black Purple Purple\nBlack Black Purple Purple Black Black Purple Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Black Black Black Purple Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Green Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Green Black Green Green Green Green Green Green Black Black\nBlack Green Green Green Green Black Green Black Green Black Black Green Black Green Black Black\nBlack Green Green Green Green Green Green Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black\nBlack Black Orange Orange Orange Orange Orange Black Green Green Green Green Green Green Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Black Black Black Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Black Black Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Black Black Black Orange Black Orange Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\n```\n\n***Test example:***\nInput:\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Purple Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Black\nBlack Purple Black Black Purple Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Black\nBlack Purple Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Black Red Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Red Black Red Red Red Black Green Black Green Green Black Black Green Black Black Black\nBlack Black Red Red Red Red Red Black Green Green Green Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Orange Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Black\nBlack Red Red Red Red Red Red Red Black Black Orange Black Orange Orange Orange Orange Orange Black\nBlack Red Black Black Red Red Red Red Black Black Orange Black Orange Orange Orange Orange Orange Black\nBlack Red Black Black Red Red Red Red Black Black Orange Orange Orange Black Black Orange Orange Black\nBlack Red Red Red Red Black Red Red Black Black Orange Orange Orange Black Black Orange Orange Black\nBlack Red Red Red Red Red Red Red Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Gray Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Blue Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Blue Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Blue Black Black Black Black Black\nBlack Black Blue Green Green Blue Green Green Blue Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Blue Black Black Black Black Black\nBlack Black Blue Green Green Green Green Green Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Yellow Yellow Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Yellow Yellow Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Pink Yellow Yellow Pink Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Pink Yellow Yellow Pink Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Pink Pink Pink Pink Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Red Red Red Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Red Red Red Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Red Red Red Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Red Red Red Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Red Red Red Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Red Red Red Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black Black\nRed Red Red Gray Gray Gray Gray Gray Gray Gray Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 5]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Red Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Blue Blue Blue Red Black Black Black Black\nBlack Black Red Blue Red Blue Red Black Black Black Black\nBlack Black Red Blue Blue Blue Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Purple Purple Purple Purple Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Purple Purple Purple Purple Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Purple Purple Purple Purple Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Purple Purple Purple Purple Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nRed Red Black Green Black Black Green\nRed Red Black Red Red Black Black\nBlack Black Black Red Red Black Black\nRed Green Green Black Black Red Red\nBlack Green Green Black Black Red Red\nBlack Black Black Black Green Green Black\nGreen Black Red Black Green Green Black\nOutput:\nBlue Black Black\nBlack Blue Black\nBlack Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Green Green Black Black\nBlack Green Green Black Black\nBlack Black Black Black Black\nRed Red Black Black Red\nRed Red Black Black Black\nBlack Black Black Red Red\nBlack Black Black Red Red\nOutput:\nBlue Black Black\nBlack Black Black\nBlack Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Green Green Black Black Black\nRed Black Green Green Black Green Black\nBlack Black Black Black Black Black Black\nGreen Green Black Black Red Red Black\nGreen Green Black Black Red Red Black\nBlack Black Green Green Black Black Black\nBlack Black Green Green Black Black Black\nOutput:\nBlue Black Black\nBlack Blue Black\nBlack Black Blue\n```\n\n[Example 4]\n```\nInput:\nBlack Green Green Black Black Black Green\nBlack Green Green Black Black Black Black\nBlack Black Black Black Red Black Black\nGreen Black Black Black Green Green Black\nBlack Black Green Black Green Green Black\nOutput:\nBlue Black Black\nBlack Blue Black\nBlack Black Black\n```\n\n[Example 5]\n```\nInput:\nBlack Black Black Red Red\nGreen Green Black Red Red\nGreen Green Black Black Black\nBlack Black Red Red Black\nGreen Black Red Red Black\nOutput:\nBlue Black Black\nBlack Black Black\nBlack Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black\nBlack Green Green Black Black\nBlack Green Green Black Black\nRed Black Black Black Black\nBlack Black Black Black Green\nGreen Green Black Black Black\nGreen Green Black Red Red\nBlack Black Black Red Red\n```output",
"role": "user"
},
{
"content": "Output:\nBlue Black Black\nBlack Blue Black\nBlack Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Gray Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Green Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Gray Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Green Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nRed Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Red Black Gray Black Red Black Black Black\nBlack Black Red Black Green Black Red Black Black Black\nBlack Black Red Black Black Black Red Black Black Black\nRed Red Purple Purple Purple Purple Purple Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Gray Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Green Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Gray Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Green Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Red Red Red Red Red\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Gray Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Green Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Purple Purple Blue Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Purple Purple Blue Green Green Green Green Green Red Yellow Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Purple Purple Blue Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Purple Purple Blue Green Green Green Green Green Red Yellow Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Red Yellow Red Black Black Black Black Black\nBlack Black Blue Purple Purple Blue Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Blue Purple Purple Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Red Yellow Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Purple Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\n```\n\n[Example 2]\n```\nInput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Red Red Red Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Red Blue Red Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Red Red Red Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Purple Purple Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Blue Blue Blue Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Purple Purple Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nPurple Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nGreen Blue Blue Blue Green Green Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Red Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nGreen Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Red Red Black Black Black Red Black Black Black Black Black Black Black Black Red Red Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Red Red Red Green Green Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Red Blue Red Black Black Black Black Black Black Black Black\nGreen Red Blue Red Green Green Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Red Red Red Black Black Black Black Blue Blue Blue Black\nGreen Red Red Red Green Green Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black Blue Red Blue Black\nGreen Green Green Green Green Green Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Purple Purple Black Black Blue Blue Blue Black Black Black Blue Red Blue Black Black Black Black Blue Red Blue Black Black\nPurple Yellow Yellow Yellow Purple Green Black Black Purple Purple Black Black Blue Red Blue Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black\nPurple Purple Purple Purple Purple Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Blue Blue Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Blue Red Blue Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black Black Black Black Black Black\nGreen Blue Blue Blue Green Green Black Black Black Black Blue Blue Blue Black Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Blue Black Black Black Black\nGreen Blue Red Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Blue Black Black Black Black\nGreen Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Red Red Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Blue Red Black Black Blue Blue Blue Black Green Green Green Black Black Black Red Blue Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Red Red Red Black Black Blue Red Blue Black Black Black Black Black Black Black Red Red Red Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Red Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Red Blue Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Pink Purple Purple Pink Green Green Green Green Green Green\nGreen Green Red Blue Blue Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Pink Purple Purple Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Red Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Blue Red Blue Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Pink Purple Purple Pink Green Green Green Green Green Green\nGreen Green Red Blue Blue Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Pink Purple Purple Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Blue Red Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Pink Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Red Red Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Purple Green Green Green Green Green Blue Pink Blue Green Green Green Green Green Green Green Blue Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Purple Purple Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Yellow Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Purple Black Black Black Black Black Black Black Black Blue Pink Blue Black Black Black Black Black Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Blue Pink Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Red Red Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Purple Red Red Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Purple Green Green Green Green Green Blue Pink Blue Green Green Green Green Green Green Green Blue Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Purple Purple Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Yellow Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nRed Red Red Red Red\nRed Green Green Green Red\nRed Green Purple Green Red\nRed Green Green Green Red\nRed Red Red Red Red\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Blue\nBlue Green Pink Pink Green Blue\nBlue Green Pink Pink Green Blue\nBlue Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Green Green Green Green Green Green Purple\nPurple Green Yellow Yellow Yellow Yellow Green Purple\nPurple Green Yellow Orange Orange Yellow Green Purple\nPurple Green Yellow Orange Orange Yellow Green Purple\nPurple Green Yellow Yellow Yellow Yellow Green Purple\nPurple Green Green Green Green Green Green Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Pink Purple\nPurple Pink Orange Orange Orange Pink Purple\nPurple Pink Orange Green Orange Pink Purple\nPurple Pink Orange Orange Orange Pink Purple\nPurple Pink Pink Pink Pink Pink Purple\nPurple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Gray Gray Gray Gray Black\nGray Gray Black Gray Gray Gray\nGray Gray Black Gray Black Black\nBlack Black Yellow Black Black Black\nYellow Black Yellow Yellow Yellow Black\nYellow Black Black Black Black Black\nRed Black Red Red Black Red\nRed Black Black Black Black Red\nBlack Black Black Red Black Black\nBlack Purple Black Purple Black Black\nBlack Purple Black Black Black Black\nBlack Purple Black Purple Black Black\nOutput:\nRed Gray Gray Gray Gray Red\nGray Gray Yellow Gray Gray Gray\nGray Gray Black Gray Black Black\n```\n\n[Example 2]\n```\nInput:\nGray Gray Black Gray Gray Gray\nBlack Gray Black Gray Black Gray\nBlack Black Black Gray Gray Black\nBlack Yellow Yellow Black Yellow Black\nBlack Black Black Black Black Yellow\nBlack Yellow Black Yellow Black Yellow\nRed Red Red Black Black Black\nBlack Red Red Black Red Black\nRed Red Red Black Red Black\nPurple Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\nBlack Black Black Purple Black Black\nOutput:\nGray Gray Yellow Gray Gray Gray\nBlack Gray Purple Gray Purple Gray\nRed Yellow Red Gray Gray Yellow\n```\n\n[Example 3]\n```\nInput:\nGray Black Gray Black Black Black\nBlack Black Gray Black Black Gray\nGray Black Gray Black Gray Black\nBlack Black Black Yellow Black Yellow\nBlack Black Black Yellow Black Black\nYellow Black Black Yellow Black Yellow\nBlack Black Red Black Black Red\nRed Red Black Red Red Black\nRed Red Black Black Black Red\nPurple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Purple Black\nPurple Purple Black Black Black Black\nOutput:\nGray Purple Gray Yellow Purple Yellow\nPurple Purple Gray Yellow Purple Gray\nGray Purple Gray Yellow Gray Yellow\n```\n\n[Example 4]\n```\nInput:\nGray Gray Gray Gray Black Black\nBlack Gray Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray\nYellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Black\nRed Black Red Red Black Black\nRed Red Black Red Black Black\nRed Red Red Black Red Black\nBlack Black Purple Black Purple Purple\nPurple Purple Purple Black Black Black\nBlack Purple Black Black Purple Black\nOutput:\nGray Gray Gray Gray Yellow Yellow\nPurple Gray Gray Yellow Gray Gray\nYellow Gray Gray Gray Gray Gray\n```\n\n[Example 5]\n```\nInput:\nGray Black Black Black Black Black\nBlack Gray Black Black Black Gray\nBlack Black Gray Gray Gray Black\nYellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Black\nYellow Black Yellow Yellow Black Black\nRed Black Red Red Black Red\nRed Red Black Red Red Black\nBlack Black Black Black Black Red\nPurple Purple Purple Purple Black Purple\nBlack Black Black Purple Purple Black\nBlack Black Black Purple Purple Purple\nOutput:\nGray Yellow Purple Yellow Yellow Yellow\nRed Gray Black Yellow Yellow Gray\nYellow Black Gray Gray Gray Purple\n```\n\n[Example 6]\n```\nInput:\nBlack Gray Black Gray Gray Black\nBlack Gray Black Gray Gray Gray\nGray Gray Black Gray Gray Gray\nYellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Yellow\nBlack Red Red Red Red Black\nRed Red Red Black Red Black\nBlack Red Black Red Black Black\nPurple Black Black Purple Black Purple\nPurple Black Black Black Purple Black\nPurple Black Black Purple Black Black\nOutput:\nYellow Gray Red Gray Gray Yellow\nPurple Gray Red Gray Gray Gray\nGray Gray Yellow Gray Gray Gray\n```\n\n***Test example:***\nInput:\nGray Black Gray Black Black Gray\nBlack Gray Black Black Black Gray\nGray Gray Gray Black Black Black\nBlack Black Black Yellow Black Yellow\nBlack Black Black Black Black Black\nYellow Black Black Yellow Black Black\nRed Black Red Black Red Red\nRed Red Black Red Red Red\nRed Red Red Red Red Red\nBlack Black Purple Purple Black Black\nBlack Purple Black Black Purple Purple\nBlack Black Black Purple Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nGray Black Gray Yellow Red Gray\nRed Gray Black Red Purple Gray\nGray Gray Gray Yellow Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Purple Blue Blue Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Blue Blue Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Blue Blue Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Purple Purple Purple Blue Blue Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Pink Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Red Red Red Red Red Yellow Purple Purple Black Black Black Black Purple Purple Yellow Red Red Red Red Yellow Purple Purple Black\nBlack Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Red Red Red Red Red Red Red Red Red Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Red Red Red Red Red Red Red Red Red Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Red Red Red Red Red Red Red Red Red Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Red Red Red Red Red Red Red Red Red Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Red Red Red Red Red Red Red Red Red Red Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Blue Blue Red Red Purple Yellow Purple Red Red Blue Blue Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Purple Yellow Yellow Yellow Yellow Purple Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Purple Purple Green Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Green Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Green Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Green Purple Purple\nPurple Purple Purple Green Green Green Green Green Green Green Purple Purple\nPurple Purple Purple Green Green Green Purple Purple Green Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```\n\n[Example 2]\n```\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Red Red Red Red Red Red Red Blue Blue Blue\nBlue Blue Red Red Red Red Blue Blue Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Yellow Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Blue Red Red Red Red Red Red Red Blue Blue\nBlue Blue Blue Red Red Red Red Blue Blue Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```\n\n[Example 3]\n```\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Red Red Red Green Green Green\nGreen Green Green Green Green Green Green Orange Orange Orange Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Purple Purple Green Green Green Green Green Green Green Green Green Green\nGreen Purple Purple Green Green Green Green Green Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green\nGreen Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nGreen Pink Pink Pink Pink Green Green Green Green Green Green Green Green\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Pink Pink Pink Pink Green Green Green Green Green Green Green\n```\n\n***Test example:***\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Red Red Red Red Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Purple Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```output",
"role": "user"
},
{
"content": "Output:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Red Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Yellow Purple Yellow Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Orange Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Red Yellow Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Red Purple Red Black Black Black Black Black Black Blue Blue Blue Blue Yellow Blue Blue Blue Blue Blue Blue Black\nBlack Red Black Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Purple Blue Blue Blue Blue Orange Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Red Green Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Blue\nBlue Blue Blue Blue Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Red Yellow Red Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Red Blue Blue Blue Red Blue Blue Blue\nBlue Red Purple Red Blue Blue Red Orange Red Blue Blue\nBlue Red Blue Red Blue Blue Blue Red Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Blue Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Red Black Red Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Red Black Red Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Yellow Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nPurple Purple Purple Purple Purple Purple\nPurple Red Purple Purple Purple Purple\nRed Blue Red Purple Purple Purple\nRed Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Red Purple Red Purple\nPurple Purple Purple Yellow Red Purple\nPurple Purple Red Red Red Purple\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Yellow Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Blue Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Purple Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Red Red Black Black Black Black Red Blue Red Black Black Black Black Black Black\nBlack Black Black Red Purple Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nGreen Green Green Green Green Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Green Red Red Red Green Green Green Green\nGreen Red Blue Red Green Green Green Green Red Red Green Green\nGreen Green Red Green Green Green Green Green Red Purple Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Green\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Orange Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Red Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Black Black Black\nBlack Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Black Black Black Black Purple Red Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Blue Red Yellow Yellow Yellow Yellow Yellow Yellow Red Orange Red Yellow\nYellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Pink Yellow Yellow Yellow Yellow Yellow\nYellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Red Red Yellow\nRed Green Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "[Do transduction directly and generate output]\nYou are an expert player in a visual puzzle game. In each task, you will be given several pairs of input-output images as examples. Each input-output image pair follow the same transformation rule.\n The images are composed of different pixels, consisting of different colors. The colors being used is delimited by triple backticks as follows.\n ```\n Black, Blue, Red, Green, Yellow, Gray, Pink, Orange, Purple, Brown\n ```\n We use matrices pairs to represent the input-output images.\n You will be given the training examples, and you need to find out the transformation rule and generate the output image matrice for the test example follow that rule.",
"role": "system"
},
{
"content": "***Training examples:***\n[Example 1]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black\nPurple Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 2]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 3]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 4]\n```\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```\n\n[Example 5]\n```\nInput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOutput:\nBlack Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```\n\n***Test example:***\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```output",
"role": "user"
},
{
"content": "Output:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |