messages listlengths 2 130 | source stringclasses 3
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[
{
"role": "user",
"content": "If $3 \\times 3 \\times 5 \\times 5 \\times 7 \\times 9=3 \\times 3 \\times 7 \\times n \\times n$, what is a possible value of $n$ ?\n(A) 15\n(B) 25\n(C) 45\n(D) 35\n(E) 5"
},
{
"role": "assistant",
"content": "<think>\nOkay, so I have this equation here: 3 × 3 × 5... | math |
[
{
"role": "user",
"content": "Capitalization is writing a word with its first letter as a capital letter. Your task is to capitalize the given word.\n\nNote, that during capitalization all the letters except the first one remains unchanged.\nInput\n\nA single line contains a non-empty word. This word consis... | code |
[
{
"role": "user",
"content": "Mahmoud and Ehab continue their adventures! As everybody in the evil land knows, Dr. Evil likes bipartite graphs, especially trees.\n\nA tree is a connected acyclic graph. A bipartite graph is a graph, whose vertices can be partitioned into 2 sets in such a way, that for each e... | code |
[
{
"role": "user",
"content": "Berezin V.N.\n\nFind the sums\n\na) $1 \\cdot n+2(n-1)+3(n-2)+\\ldots+n \\cdot 1$.\nb) $S_{n, k}=(1 \\cdot 2 \\cdot \\ldots \\cdot k) \\cdot(n(n-1) \\ldots(n-k+1))+(2 \\cdot 3 \\cdot \\ldots \\cdot(k+1)) \\cdot((n-1)(n-2) \\ldots(n-k))+\\ldots+((n-k+1)(n-k+$\n\n2)... $\\cdot n)... | math |
[
{
"role": "user",
"content": "You are given a sequence of positive integers a1, a2, ..., an. \n\nWhile possible, you perform the following operation: find a pair of equal consecutive elements. If there are more than one such pair, find the leftmost (with the smallest indices of elements). If the two integer... | code |
[
{
"role": "user",
"content": "We have sticks numbered 1, \\cdots, N. The length of Stick i (1 \\leq i \\leq N) is L_i.\n\nIn how many ways can we choose three of the sticks with different lengths that can form a triangle?\n\nThat is, find the number of triples of integers (i, j, k) (1 \\leq i < j < k \\leq ... | code |
[
{
"role": "user",
"content": "A permutation of N numbers from 1 to N A1, A2, ……, AN is given. You can perform the operation reverse (i, j) to reverse the order of the numbers in the interval [i, j] (1 ≤ i ≤ j ≤ N) for this permutation. For example, if reverse (2, 4) is applied to [1, 2, 3, 4, 5], it becomes... | code |
[
{
"role": "user",
"content": "Create a program that converts the date expressed in the Christian era to the Japanese calendar using the era name and outputs the date. The\ninput is three integers, as shown in the example, in the order year, month, and day. Convert this as shown in the sample output. If the ... | code |
[
{
"role": "user",
"content": "Recently Chef become very much interested in perfect squares. We all know Chef and his weird interests. Anyways Chef will be soon writing his masters thesis on perfect squares revealing what-not-known properties of perfect squares.\nWhile doing his research, he happened to be c... | code |
[
{
"role": "user",
"content": "Example\nInput\n\n8\n-10 0\n-10 5\n-5 5\n-5 0\n10 0\n10 -5\n5 -5\n5 0\n\n\nOutput\n\n50"
},
{
"role": "assistant",
"content": "<think>\nOkay, let's see. The problem is to find the area of a polygon given its vertices. Hmm, I remember there's a formula for the area o... | code |
[
{
"role": "user",
"content": "Heisenberg is very fond of mixing various strings together. But he has storage problem. \nHe wants that his strings use as less space as possible. \n\nHe has N strings right now. He wants to store them together. \nTo reduce space he can use this property of mixing two strings:\... | code |
[
{
"role": "user",
"content": "There is a game called \"Unique Bid Auction\". You can read more about it here: https://en.wikipedia.org/wiki/Unique_bid_auction (though you don't have to do it to solve this problem).\n\nLet's simplify this game a bit. Formally, there are n participants, the i-th participant c... | code |
[
{
"role": "user",
"content": "There is a box containing N balls. The i-th ball has the integer A_i written on it. Snuke can perform the following operation any number of times:\n\n* Take out two balls from the box. Then, return them to the box along with a new ball, on which the absolute difference of the i... | code |
[
{
"role": "user",
"content": "Tomorrow Peter has a Biology exam. He does not like this subject much, but d days ago he learnt that he would have to take this exam. Peter's strict parents made him prepare for the exam immediately, for this purpose he has to study not less than minTimei and not more than maxT... | code |
[
{
"role": "user",
"content": "Petr, Nikita G. and Nikita are the most influential music critics in Saint-Petersburg. They have recently downloaded their favorite band's new album and going to listen to it. Nikita claims that the songs of entire album should be listened strictly in the same order as they are... | code |
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