meetforever/GRPO_CL huggingface dataset:
user: In an array A of 0s and 1s, how many non-empty subarrays have sum S?
 
Example 1:
Input: A = [1,0,1,0,1], S = 2
Output: 4
Explanation: 
The 4 subarrays are bolded below:
[1,0,1,0,1]
[1,0,1,0,1]
[1,0,1,0,1]
[1,0,1,0,1]

 
Note:

A.length <= 30000
0 <= S <= A.length
A[i] is either 0 or 1.

Answer: {"fn_name": "numSubarraysWithSum", "inputs": [[[1, 0, 1, 0, 1], 2]], "outputs": [4]}
user: Say you have an array for which the ith element is the price of a given stock on day i.

Design an algorithm to find the maximum profit. You may complete at most two transactions.

Note: You may not engage in multiple transactions at the same time (i.e., you must sell the stock before you buy again).

Example 1:


Input: [3,3,5,0,0,3,1,4]
Output: 6
Explanation: Buy on day 4 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.
             Then buy on day 7 (price = 1) and sell on day 8 (price = 4), profit = 4-1 = 3.

Example 2:


Input: [1,2,3,4,5]
Output: 4
Explanation: Buy on day 1 (price = 1) and sell on day 5 (price = 5), profit = 5-1 = 4.
             Note that you cannot buy on day 1, buy on day 2 and sell them later, as you are
             engaging multiple transactions at the same time. You must sell before buying again.


Example 3:


Input: [7,6,4,3,1]
Output: 0
Explanation: In this case, no transaction is done, i.e. max profit = 0.

Answer: {"fn_name": "maxProfit", "inputs": [[[3, 3, 5, 0, 0, 3, 1, 4]]], "outputs": [6]}
user: We have a set of items: the i-th item has value values[i] and label labels[i].
Then, we choose a subset S of these items, such that:

|S| <= num_wanted
For every label L, the number of items in S with label L is <= use_limit.

Return the largest possible sum of the subset S.
 

Example 1:
Input: values = [5,4,3,2,1], labels = [1,1,2,2,3], num_wanted = 3, use_limit = 1
Output: 9
Explanation: The subset chosen is the first, third, and fifth item.


Example 2:
Input: values = [5,4,3,2,1], labels = [1,3,3,3,2], num_wanted = 3, use_limit = 2
Output: 12
Explanation: The subset chosen is the first, second, and third item.


Example 3:
Input: values = [9,8,8,7,6], labels = [0,0,0,1,1], num_wanted = 3, use_limit = 1
Output: 16
Explanation: The subset chosen is the first and fourth item.


Example 4:
Input: values = [9,8,8,7,6], labels = [0,0,0,1,1], num_wanted = 3, use_limit = 2
Output: 24
Explanation: The subset chosen is the first, second, and fourth item.

 
Note:

1 <= values.length == labels.length <= 20000
0 <= values[i], labels[i] <= 20000
1 <= num_wanted, use_limit <= values.length

Answer: {"fn_name": "largestValsFromLabels", "inputs": [[[5, 4, 3, 2, 1], [1, 1, 2, 2, 3], 3, 1]], "outputs": [9]}
user: Given a string, sort it in decreasing order based on the frequency of characters.

Example 1:

Input:
"tree"

Output:
"eert"

Explanation:
'e' appears twice while 'r' and 't' both appear once.
So 'e' must appear before both 'r' and 't'. Therefore "eetr" is also a valid answer.



Example 2:

Input:
"cccaaa"

Output:
"cccaaa"

Explanation:
Both 'c' and 'a' appear three times, so "aaaccc" is also a valid answer.
Note that "cacaca" is incorrect, as the same characters must be together.



Example 3:

Input:
"Aabb"

Output:
"bbAa"

Explanation:
"bbaA" is also a valid answer, but "Aabb" is incorrect.
Note that 'A' and 'a' are treated as two different characters.

Answer: {"fn_name": "frequencySort", "inputs": [["\"tree\""]], "outputs": ["\"\"eetr"]}
user: On an infinite plane, a robot initially stands at (0, 0) and faces north.  The robot can receive one of three instructions:

"G": go straight 1 unit;
"L": turn 90 degrees to the left;
"R": turn 90 degress to the right.

The robot performs the instructions given in order, and repeats them forever.
Return true if and only if there exists a circle in the plane such that the robot never leaves the circle.
 
Example 1:
Input: "GGLLGG"
Output: true
Explanation: 
The robot moves from (0,0) to (0,2), turns 180 degrees, and then returns to (0,0).
When repeating these instructions, the robot remains in the circle of radius 2 centered at the origin.

Example 2:
Input: "GG"
Output: false
Explanation: 
The robot moves north indefinitely.

Example 3:
Input: "GL"
Output: true
Explanation: 
The robot moves from (0, 0) -> (0, 1) -> (-1, 1) -> (-1, 0) -> (0, 0) -> ...

 
Note:

1 <= instructions.length <= 100
instructions[i] is in {'G', 'L', 'R'}

Answer: {"fn_name": "isRobotBounded", "inputs": [["\"GGLLGG\""]], "outputs": [true]}
user: Given an array nums of positive integers, return the longest possible length of an array prefix of nums, such that it is possible to remove exactly one element from this prefix so that every number that has appeared in it will have the same number of occurrences.
If after removing one element there are no remaining elements, it's still considered that every appeared number has the same number of ocurrences (0).
 
Example 1:
Input: nums = [2,2,1,1,5,3,3,5]
Output: 7
Explanation: For the subarray [2,2,1,1,5,3,3] of length 7, if we remove nums[4]=5, we will get [2,2,1,1,3,3], so that each number will appear exactly twice.

Example 2:
Input: nums = [1,1,1,2,2,2,3,3,3,4,4,4,5]
Output: 13

Example 3:
Input: nums = [1,1,1,2,2,2]
Output: 5

Example 4:
Input: nums = [10,2,8,9,3,8,1,5,2,3,7,6]
Output: 8

 
Constraints:

2 <= nums.length <= 10^5
1 <= nums[i] <= 10^5

Answer: {"fn_name": "maxEqualFreq", "inputs": [[[2, 2, 1, 1, 5, 3, 3, 5]]], "outputs": [7]}
user: On a table are N cards, with a positive integer printed on the front and back of each card (possibly different).
We flip any number of cards, and after we choose one card. 
If the number X on the back of the chosen card is not on the front of any card, then this number X is good.
What is the smallest number that is good?  If no number is good, output 0.
Here, fronts[i] and backs[i] represent the number on the front and back of card i. 
A flip swaps the front and back numbers, so the value on the front is now on the back and vice versa.
Example:
Input: fronts = [1,2,4,4,7], backs = [1,3,4,1,3]
Output: 2
Explanation: If we flip the second card, the fronts are [1,3,4,4,7] and the backs are [1,2,4,1,3].
We choose the second card, which has number 2 on the back, and it isn't on the front of any card, so 2 is good.
 
Note:

1 <= fronts.length == backs.length <= 1000.
1 <= fronts[i] <= 2000.
1 <= backs[i] <= 2000.

Answer: {"fn_name": "flipgame", "inputs": [[[1, 2, 4, 4, 7], [1, 3, 4, 1, 3]]], "outputs": [2]}
user: Given a number s in their binary representation. Return the number of steps to reduce it to 1 under the following rules:


If the current number is even, you have to divide it by 2.


If the current number is odd, you have to add 1 to it.


It's guaranteed that you can always reach to one for all testcases.
 
Example 1:
Input: s = "1101"
Output: 6
Explanation: "1101" corressponds to number 13 in their decimal representation.
Step 1) 13 is odd, add 1 and obtain 14. 
Step 2) 14 is even, divide by 2 and obtain 7.
Step 3) 7 is odd, add 1 and obtain 8.
Step 4) 8 is even, divide by 2 and obtain 4.  
Step 5) 4 is even, divide by 2 and obtain 2. 
Step 6) 2 is even, divide by 2 and obtain 1.  

Example 2:
Input: s = "10"
Output: 1
Explanation: "10" corressponds to number 2 in their decimal representation.
Step 1) 2 is even, divide by 2 and obtain 1.  

Example 3:
Input: s = "1"
Output: 0

 
Constraints:

1 <= s.length <= 500
s consists of characters '0' or '1'
s[0] == '1'

Answer: {"fn_name": "numSteps", "inputs": [["\"1101\""]], "outputs": [8]}
user: Given a list of positive integers, the adjacent integers will perform the float division. For example, [2,3,4] -> 2 / 3 / 4.

However, you can add any number of parenthesis at any position to change the priority of operations. You should find out how to add parenthesis to get the maximum result, and return the corresponding expression in string format. Your expression should NOT contain redundant parenthesis.

Example:

Input: [1000,100,10,2]
Output: "1000/(100/10/2)"
Explanation:
1000/(100/10/2) = 1000/((100/10)/2) = 200
However, the bold parenthesis in "1000/((100/10)/2)" are redundant, since they don't influence the operation priority. So you should return "1000/(100/10/2)". 

Other cases:
1000/(100/10)/2 = 50
1000/(100/(10/2)) = 50
1000/100/10/2 = 0.5
1000/100/(10/2) = 2



Note:

The length of the input array is [1, 10].
Elements in the given array will be in range [2, 1000].
There is only one optimal division for each test case.

Answer: {"fn_name": "optimalDivision", "inputs": [[[1000, 100, 10, 2]]], "outputs": ["1000/(100/10/2)"]}
user: In English, we have a concept called root, which can be followed by some other words to form another longer word - let's call this word successor. For example, the root an, followed by other, which can form another word another.




Now, given a dictionary consisting of many roots and a sentence. You need to replace all the successor in the sentence with the root forming it. If a successor has many roots can form it, replace it with the root with the shortest length.



You need to output the sentence after the replacement.



Example 1:

Input: dict = ["cat", "bat", "rat"]
sentence = "the cattle was rattled by the battery"
Output: "the cat was rat by the bat"




Note:

The input will only have lower-case letters.
 1 
 1 
 1 
 1

Answer: {"fn_name": "replaceWords", "inputs": [[["\"cat\"", "\"bat\"", "\"rat\""], "\"the cattle was rattled by the battery\""]], "outputs": ["\"the cattle was rattled by the battery\""]}
user: Given an array of integers arr and an integer target.
You have to find two non-overlapping sub-arrays of arr each with sum equal target. There can be multiple answers so you have to find an answer where the sum of the lengths of the two sub-arrays is minimum.
Return the minimum sum of the lengths of the two required sub-arrays, or return -1 if you cannot find such two sub-arrays.
 
Example 1:
Input: arr = [3,2,2,4,3], target = 3
Output: 2
Explanation: Only two sub-arrays have sum = 3 ([3] and [3]). The sum of their lengths is 2.

Example 2:
Input: arr = [7,3,4,7], target = 7
Output: 2
Explanation: Although we have three non-overlapping sub-arrays of sum = 7 ([7], [3,4] and [7]), but we will choose the first and third sub-arrays as the sum of their lengths is 2.

Example 3:
Input: arr = [4,3,2,6,2,3,4], target = 6
Output: -1
Explanation: We have only one sub-array of sum = 6.

Example 4:
Input: arr = [5,5,4,4,5], target = 3
Output: -1
Explanation: We cannot find a sub-array of sum = 3.

Example 5:
Input: arr = [3,1,1,1,5,1,2,1], target = 3
Output: 3
Explanation: Note that sub-arrays [1,2] and [2,1] cannot be an answer because they overlap.

 
Constraints:

1 <= arr.length <= 10^5
1 <= arr[i] <= 1000
1 <= target <= 10^8

Answer: {"fn_name": "minSumOfLengths", "inputs": [[[3, 2, 2, 4, 3], 3]], "outputs": [2]}
user: Given a 2D array of characters grid of size m x n, you need to find if there exists any cycle consisting of the same value in grid.
A cycle is a path of length 4 or more in the grid that starts and ends at the same cell. From a given cell, you can move to one of the cells adjacent to it - in one of the four directions (up, down, left, or right), if it has the same value of the current cell.
Also, you cannot move to the cell that you visited in your last move. For example, the cycle (1, 1) -> (1, 2) -> (1, 1) is invalid because from (1, 2) we visited (1, 1) which was the last visited cell.
Return true if any cycle of the same value exists in grid, otherwise, return false.
 
Example 1:

Input: grid = [["a","a","a","a"],["a","b","b","a"],["a","b","b","a"],["a","a","a","a"]]
Output: true
Explanation: There are two valid cycles shown in different colors in the image below:


Example 2:

Input: grid = [["c","c","c","a"],["c","d","c","c"],["c","c","e","c"],["f","c","c","c"]]
Output: true
Explanation: There is only one valid cycle highlighted in the image below:


Example 3:

Input: grid = [["a","b","b"],["b","z","b"],["b","b","a"]]
Output: false

 
Constraints:

m == grid.length
n == grid[i].length
1 <= m <= 500
1 <= n <= 500
grid consists only of lowercase English letters.

Answer: {"fn_name": "containsCycle", "inputs": [[[["\"a\"", "\"a\"", "\"a\"", "\"a\""], ["\"a\"", "\"b\"", "\"b\"", "\"a\""], ["\"a\"", "\"b\"", "\"b\"", "\"a\""], ["\"a\"", "\"a\"", "\"a\"", "\"a\""], [], []]]], "outputs": [true]}
user: A 3 x 3 magic square is a 3 x 3 grid filled with distinct numbers from 1 to 9 such that each row, column, and both diagonals all have the same sum.
Given a row x col grid of integers, how many 3 x 3 "magic square" subgrids are there?  (Each subgrid is contiguous).
 
Example 1:

Input: grid = [[4,3,8,4],[9,5,1,9],[2,7,6,2]]
Output: 1
Explanation: 
The following subgrid is a 3 x 3 magic square:

while this one is not:

In total, there is only one magic square inside the given grid.

Example 2:
Input: grid = [[8]]
Output: 0

Example 3:
Input: grid = [[4,4],[3,3]]
Output: 0

Example 4:
Input: grid = [[4,7,8],[9,5,1],[2,3,6]]
Output: 0

 
Constraints:

row == grid.length
col == grid[i].length
1 <= row, col <= 10
0 <= grid[i][j] <= 15

Answer: {"fn_name": "numMagicSquaresInside", "inputs": [[[[4, 3, 8, 4], [9, 5, 1, 9], [2, 7, 6, 2], [], []]]], "outputs": [1]}
user: There are N workers.  The i-th worker has a quality[i] and a minimum wage expectation wage[i].
Now we want to hire exactly K workers to form a paid group.  When hiring a group of K workers, we must pay them according to the following rules:

Every worker in the paid group should be paid in the ratio of their quality compared to other workers in the paid group.
Every worker in the paid group must be paid at least their minimum wage expectation.

Return the least amount of money needed to form a paid group satisfying the above conditions.
 



Example 1:
Input: quality = [10,20,5], wage = [70,50,30], K = 2
Output: 105.00000
Explanation: We pay 70 to 0-th worker and 35 to 2-th worker.


Example 2:
Input: quality = [3,1,10,10,1], wage = [4,8,2,2,7], K = 3
Output: 30.66667
Explanation: We pay 4 to 0-th worker, 13.33333 to 2-th and 3-th workers seperately. 

 
Note:

1 <= K <= N <= 10000, where N = quality.length = wage.length
1 <= quality[i] <= 10000
1 <= wage[i] <= 10000
Answers within 10^-5 of the correct answer will be considered correct.

Answer: {"fn_name": "mincostToHireWorkers", "inputs": [[[10, 20, 5], [70, 50, 30], 2]], "outputs": [105.0]}
user: Normally, the factorial of a positive integer n is the product of all positive integers less than or equal to n.  For example, factorial(10) = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1.
We instead make a clumsy factorial: using the integers in decreasing order, we swap out the multiply operations for a fixed rotation of operations: multiply (*), divide (/), add (+) and subtract (-) in this order.
For example, clumsy(10) = 10 * 9 / 8 + 7 - 6 * 5 / 4 + 3 - 2 * 1.  However, these operations are still applied using the usual order of operations of arithmetic: we do all multiplication and division steps before any addition or subtraction steps, and multiplication and division steps are processed left to right.
Additionally, the division that we use is floor division such that 10 * 9 / 8 equals 11.  This guarantees the result is an integer.
Implement the clumsy function as defined above: given an integer N, it returns the clumsy factorial of N.
 
Example 1:
Input: 4
Output: 7
Explanation: 7 = 4 * 3 / 2 + 1

Example 2:
Input: 10
Output: 12
Explanation: 12 = 10 * 9 / 8 + 7 - 6 * 5 / 4 + 3 - 2 * 1

 
Note:

1 <= N <= 10000
-2^31 <= answer <= 2^31 - 1  (The answer is guaranteed to fit within a 32-bit integer.)

Answer: {"fn_name": "clumsy", "inputs": [[4]], "outputs": [7]}
user: There is a one-dimensional garden on the x-axis. The garden starts at the point 0 and ends at the point n. (i.e The length of the garden is n).
There are n + 1 taps located at points [0, 1, ..., n] in the garden.
Given an integer n and an integer array ranges of length n + 1 where ranges[i] (0-indexed) means the i-th tap can water the area [i - ranges[i], i + ranges[i]] if it was open.
Return the minimum number of taps that should be open to water the whole garden, If the garden cannot be watered return -1.
 
Example 1:

Input: n = 5, ranges = [3,4,1,1,0,0]
Output: 1
Explanation: The tap at point 0 can cover the interval [-3,3]
The tap at point 1 can cover the interval [-3,5]
The tap at point 2 can cover the interval [1,3]
The tap at point 3 can cover the interval [2,4]
The tap at point 4 can cover the interval [4,4]
The tap at point 5 can cover the interval [5,5]
Opening Only the second tap will water the whole garden [0,5]

Example 2:
Input: n = 3, ranges = [0,0,0,0]
Output: -1
Explanation: Even if you activate all the four taps you cannot water the whole garden.

Example 3:
Input: n = 7, ranges = [1,2,1,0,2,1,0,1]
Output: 3

Example 4:
Input: n = 8, ranges = [4,0,0,0,0,0,0,0,4]
Output: 2

Example 5:
Input: n = 8, ranges = [4,0,0,0,4,0,0,0,4]
Output: 1

 
Constraints:

1 <= n <= 10^4
ranges.length == n + 1
0 <= ranges[i] <= 100

Answer: {"fn_name": "minTaps", "inputs": [[5, [3, 4, 1, 1, 0, 0]]], "outputs": [1]}
user: You have n super washing machines on a line. Initially, each washing machine has some dresses or is empty. 


For each move, you could choose any m (1 ≤ m ≤ n) washing machines, and pass one dress of each washing machine to one of its adjacent washing machines  at the same time .  

Given an integer array representing the number of dresses in each washing machine from left to right on the line, you should find the minimum number of moves to make all the washing machines have the same number of dresses. If it is not possible to do it, return -1.

Example1

Input: [1,0,5]

Output: 3

Explanation: 
1st move:    1     0     1     1     4
2nd move:    1     2     1     3    
3rd move:    2     1     2     2     2   


Example2

Input: [0,3,0]

Output: 2

Explanation: 
1st move:    0     1     2     0    
2nd move:    1     2 --> 0    =>    1     1     1     


Example3

Input: [0,2,0]

Output: -1

Explanation: 
It's impossible to make all the three washing machines have the same number of dresses. 




Note:

The range of n is [1, 10000].
The range of dresses number in a super washing machine is [0, 1e5].

Answer: {"fn_name": "findMinMoves", "inputs": [[[1, 0, 5]]], "outputs": [3]}
user: Given a non-negative integer n, count all numbers with unique digits, x, where 0 ≤ x < 10n.


    Example:
Given n = 2, return 91. (The answer should be the total numbers in the range of 0 ≤ x < 100, excluding [11,22,33,44,55,66,77,88,99])


Credits:Special thanks to @memoryless for adding this problem and creating all test cases.

Answer: {"fn_name": "countNumbersWithUniqueDigits", "inputs": [[2]], "outputs": [91]}
user: Given an array of non-negative integers, you are initially positioned at the first index of the array.

Each element in the array represents your maximum jump length at that position.

Your goal is to reach the last index in the minimum number of jumps.

Example:


Input: [2,3,1,1,4]
Output: 2
Explanation: The minimum number of jumps to reach the last index is 2.
    Jump 1 step from index 0 to 1, then 3 steps to the last index.

Note:

You can assume that you can always reach the last index.

Answer: {"fn_name": "jump", "inputs": [[[2, 3, 1, 1, 4]]], "outputs": [2]}
user: Koko loves to eat bananas.  There are N piles of bananas, the i-th pile has piles[i] bananas.  The guards have gone and will come back in H hours.
Koko can decide her bananas-per-hour eating speed of K.  Each hour, she chooses some pile of bananas, and eats K bananas from that pile.  If the pile has less than K bananas, she eats all of them instead, and won't eat any more bananas during this hour.
Koko likes to eat slowly, but still wants to finish eating all the bananas before the guards come back.
Return the minimum integer K such that she can eat all the bananas within H hours.
 
Example 1:
Input: piles = [3,6,7,11], H = 8
Output: 4
Example 2:
Input: piles = [30,11,23,4,20], H = 5
Output: 30
Example 3:
Input: piles = [30,11,23,4,20], H = 6
Output: 23

 
Constraints:

1 <= piles.length <= 10^4
piles.length <= H <= 10^9
1 <= piles[i] <= 10^9

Answer: {"fn_name": "minEatingSpeed", "inputs": [[[3, 6, 7, 11], 8]], "outputs": [4]}
user: You are given an undirected weighted graph of n nodes (0-indexed), represented by an edge list where edges[i] = [a, b] is an undirected edge connecting the nodes a and b with a probability of success of traversing that edge succProb[i].
Given two nodes start and end, find the path with the maximum probability of success to go from start to end and return its success probability.
If there is no path from start to end, return 0. Your answer will be accepted if it differs from the correct answer by at most 1e-5.
 
Example 1:

Input: n = 3, edges = [[0,1],[1,2],[0,2]], succProb = [0.5,0.5,0.2], start = 0, end = 2
Output: 0.25000
Explanation: There are two paths from start to end, one having a probability of success = 0.2 and the other has 0.5 * 0.5 = 0.25.

Example 2:

Input: n = 3, edges = [[0,1],[1,2],[0,2]], succProb = [0.5,0.5,0.3], start = 0, end = 2
Output: 0.30000

Example 3:

Input: n = 3, edges = [[0,1]], succProb = [0.5], start = 0, end = 2
Output: 0.00000
Explanation: There is no path between 0 and 2.

 
Constraints:

2 <= n <= 10^4
0 <= start, end < n
start != end
0 <= a, b < n
a != b
0 <= succProb.length == edges.length <= 2*10^4
0 <= succProb[i] <= 1
There is at most one edge between every two nodes.

Answer: {"fn_name": "maxProbability", "inputs": [[3, [[0, 1], [1, 2], [0, 2], [], []], [0.5, 0.5, 0.2], 0, 2]], "outputs": [0.25]}
user: Given a non-empty string containing an out-of-order English representation of digits 0-9, output the digits in ascending order.

Note:

Input contains only lowercase English letters.
Input is guaranteed to be valid and can be transformed to its original digits. That means invalid inputs such as "abc" or "zerone" are not permitted.
Input length is less than 50,000.



Example 1:

Input: "owoztneoer"

Output: "012"



Example 2:

Input: "fviefuro"

Output: "45"

Answer: {"fn_name": "originalDigits", "inputs": [["\"owoztneoer\""]], "outputs": ["012"]}
user: Given an array of integers nums and an integer threshold, we will choose a positive integer divisor and divide all the array by it and sum the result of the division. Find the smallest divisor such that the result mentioned above is less than or equal to threshold.
Each result of division is rounded to the nearest integer greater than or equal to that element. (For example: 7/3 = 3 and 10/2 = 5).
It is guaranteed that there will be an answer.
 
Example 1:
Input: nums = [1,2,5,9], threshold = 6
Output: 5
Explanation: We can get a sum to 17 (1+2+5+9) if the divisor is 1. 
If the divisor is 4 we can get a sum to 7 (1+1+2+3) and if the divisor is 5 the sum will be 5 (1+1+1+2). 

Example 2:
Input: nums = [2,3,5,7,11], threshold = 11
Output: 3

Example 3:
Input: nums = [19], threshold = 5
Output: 4

 
Constraints:

1 <= nums.length <= 5 * 10^4
1 <= nums[i] <= 10^6
nums.length <= threshold <= 10^6

Answer: {"fn_name": "smallestDivisor", "inputs": [[[1, 2, 5, 9], 6]], "outputs": [5]}