meetforever/GRPO_CL huggingface dataset:
user: You are given an integer array nums. The value of this array is defined as the sum of |nums[i]-nums[i+1]| for all 0 <= i < nums.length-1.
You are allowed to select any subarray of the given array and reverse it. You can perform this operation only once.
Find maximum possible value of the final array.
 
Example 1:
Input: nums = [2,3,1,5,4]
Output: 10
Explanation: By reversing the subarray [3,1,5] the array becomes [2,5,1,3,4] whose value is 10.

Example 2:
Input: nums = [2,4,9,24,2,1,10]
Output: 68

 
Constraints:

1 <= nums.length <= 3*10^4
-10^5 <= nums[i] <= 10^5

Answer: {"fn_name": "maxValueAfterReverse", "inputs": [[[2, 3, 1, 5, 4]]], "outputs": [10]}
user: You have an array arr of length n where arr[i] = (2 * i) + 1 for all valid values of i (i.e. 0 <= i < n).
In one operation, you can select two indices x and y where 0 <= x, y < n and subtract 1 from arr[x] and add 1 to arr[y] (i.e. perform arr[x] -=1 and arr[y] += 1). The goal is to make all the elements of the array equal. It is guaranteed that all the elements of the array can be made equal using some operations.
Given an integer n, the length of the array. Return the minimum number of operations needed to make all the elements of arr equal.
 
Example 1:
Input: n = 3
Output: 2
Explanation: arr = [1, 3, 5]
First operation choose x = 2 and y = 0, this leads arr to be [2, 3, 4]
In the second operation choose x = 2 and y = 0 again, thus arr = [3, 3, 3].

Example 2:
Input: n = 6
Output: 9

 
Constraints:

1 <= n <= 10^4

Answer: {"fn_name": "minOperations", "inputs": [[3]], "outputs": [2]}
user: Given a string s, partition s such that every substring of the partition is a palindrome.

Return the minimum cuts needed for a palindrome partitioning of s.

Example:


Input: "aab"
Output: 1
Explanation: The palindrome partitioning ["aa","b"] could be produced using 1 cut.

Answer: {"fn_name": "minCut", "inputs": [["\"aab\""]], "outputs": [3]}
user: We are given a personal information string S, which may represent either an email address or a phone number.
We would like to mask this personal information according to the following rules:

1. Email address:
We define a name to be a string of length ≥ 2 consisting of only lowercase letters a-z or uppercase letters A-Z.
An email address starts with a name, followed by the symbol '@', followed by a name, followed by the dot '.' and followed by a name. 
All email addresses are guaranteed to be valid and in the format of "name1@name2.name3".
To mask an email, all names must be converted to lowercase and all letters between the first and last letter of the first name must be replaced by 5 asterisks '*'.

2. Phone number:
A phone number is a string consisting of only the digits 0-9 or the characters from the set {'+', '-', '(', ')', ' '}. You may assume a phone number contains 10 to 13 digits.
The last 10 digits make up the local number, while the digits before those make up the country code. Note that the country code is optional. We want to expose only the last 4 digits and mask all other digits.
The local number should be formatted and masked as "***-***-1111", where 1 represents the exposed digits.
To mask a phone number with country code like "+111 111 111 1111", we write it in the form "+***-***-***-1111".  The '+' sign and the first '-' sign before the local number should only exist if there is a country code.  For example, a 12 digit phone number mask should start with "+**-".
Note that extraneous characters like "(", ")", " ", as well as extra dashes or plus signs not part of the above formatting scheme should be removed.
 
Return the correct "mask" of the information provided.
 
Example 1:
Input: "LeetCode@LeetCode.com"
Output: "l*****e@leetcode.com"
Explanation: All names are converted to lowercase, and the letters between the
             first and last letter of the first name is replaced by 5 asterisks.
             Therefore, "leetcode" -> "l*****e".

Example 2:
Input: "AB@qq.com"
Output: "a*****b@qq.com"
Explanation: There must be 5 asterisks between the first and last letter 
             of the first name "ab". Therefore, "ab" -> "a*****b".

Example 3:
Input: "1(234)567-890"
Output: "***-***-7890"
Explanation: 10 digits in the phone number, which means all digits make up the local number.

Example 4:
Input: "86-(10)12345678"
Output: "+**-***-***-5678"
Explanation: 12 digits, 2 digits for country code and 10 digits for local number. 

Notes:

S.length <= 40.
Emails have length at least 8.
Phone numbers have length at least 10.

Answer: {"fn_name": "maskPII", "inputs": [["\"LeetCode@LeetCode.com\""]], "outputs": ["\"*****e@leetcode.com\""]}
user: Given an integer array nums, return the sum of divisors of the integers in that array that have exactly four divisors.
If there is no such integer in the array, return 0.
 
Example 1:
Input: nums = [21,4,7]
Output: 32
Explanation:
21 has 4 divisors: 1, 3, 7, 21
4 has 3 divisors: 1, 2, 4
7 has 2 divisors: 1, 7
The answer is the sum of divisors of 21 only.

 
Constraints:

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

Answer: {"fn_name": "sumFourDivisors", "inputs": [[[21, 4, 7]]], "outputs": [32]}
user: Given two integers representing the numerator and denominator of a fraction, return the fraction in string format.

If the fractional part is repeating, enclose the repeating part in parentheses.

Example 1:


Input: numerator = 1, denominator = 2
Output: "0.5"


Example 2:


Input: numerator = 2, denominator = 1
Output: "2"

Example 3:


Input: numerator = 2, denominator = 3
Output: "0.(6)"

Answer: {"fn_name": "fractionToDecimal", "inputs": [[1, 2]], "outputs": ["0.5"]}
user: You have n binary tree nodes numbered from 0 to n - 1 where node i has two children leftChild[i] and rightChild[i], return true if and only if all the given nodes form exactly one valid binary tree.
If node i has no left child then leftChild[i] will equal -1, similarly for the right child.
Note that the nodes have no values and that we only use the node numbers in this problem.
 
Example 1:

Input: n = 4, leftChild = [1,-1,3,-1], rightChild = [2,-1,-1,-1]
Output: true

Example 2:

Input: n = 4, leftChild = [1,-1,3,-1], rightChild = [2,3,-1,-1]
Output: false

Example 3:

Input: n = 2, leftChild = [1,0], rightChild = [-1,-1]
Output: false

Example 4:

Input: n = 6, leftChild = [1,-1,-1,4,-1,-1], rightChild = [2,-1,-1,5,-1,-1]
Output: false

 
Constraints:

1 <= n <= 10^4
leftChild.length == rightChild.length == n
-1 <= leftChild[i], rightChild[i] <= n - 1

Answer: {"fn_name": "validateBinaryTreeNodes", "inputs": [[4, [1, -1, 3, -1], [2, -1, -1, -1]]], "outputs": [true]}
user: Given an integer array A, and an integer target, return the number of tuples i, j, k  such that i < j < k and A[i] + A[j] + A[k] == target.
As the answer can be very large, return it modulo 109 + 7.
 
Example 1:
Input: A = [1,1,2,2,3,3,4,4,5,5], target = 8
Output: 20
Explanation: 
Enumerating by the values (A[i], A[j], A[k]):
(1, 2, 5) occurs 8 times;
(1, 3, 4) occurs 8 times;
(2, 2, 4) occurs 2 times;
(2, 3, 3) occurs 2 times.

Example 2:
Input: A = [1,1,2,2,2,2], target = 5
Output: 12
Explanation: 
A[i] = 1, A[j] = A[k] = 2 occurs 12 times:
We choose one 1 from [1,1] in 2 ways,
and two 2s from [2,2,2,2] in 6 ways.

 
Constraints:

3 <= A.length <= 3000
0 <= A[i] <= 100
0 <= target <= 300

Answer: {"fn_name": "threeSumMulti", "inputs": [[[1, 1, 2, 2, 3, 3, 4, 4, 5, 5], 8]], "outputs": [20]}
user: Given a 2d grid map of '1's (land) and '0's (water), count the number of islands. An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.

Example 1:


Input:
11110
11010
11000
00000

Output: 1


Example 2:


Input:
11000
11000
00100
00011

Output: 3

Answer: {"fn_name": "numIslands", "inputs": [[[["\"1\"", "\"1\"", "\"1\"", "\"1\"", "\"0\""], ["\"1\"", "\"1\"", "\"0\"", "\"1\"", "\"0\""], ["\"1\"", "\"1\"", "\"0\"", "\"0\"", "\"0\""], ["\"0\"", "\"0\"", "\"0\"", "\"0\"", "\"0\""], [], []]]], "outputs": [0]}
user: Given an array of non-negative integers arr, you are initially positioned at start index of the array. When you are at index i, you can jump to i + arr[i] or i - arr[i], check if you can reach to any index with value 0.
Notice that you can not jump outside of the array at any time.
 
Example 1:
Input: arr = [4,2,3,0,3,1,2], start = 5
Output: true
Explanation: 
All possible ways to reach at index 3 with value 0 are: 
index 5 -> index 4 -> index 1 -> index 3 
index 5 -> index 6 -> index 4 -> index 1 -> index 3 

Example 2:
Input: arr = [4,2,3,0,3,1,2], start = 0
Output: true 
Explanation: 
One possible way to reach at index 3 with value 0 is: 
index 0 -> index 4 -> index 1 -> index 3

Example 3:
Input: arr = [3,0,2,1,2], start = 2
Output: false
Explanation: There is no way to reach at index 1 with value 0.

 
Constraints:

1 <= arr.length <= 5 * 10^4
0 <= arr[i] < arr.length
0 <= start < arr.length

Answer: {"fn_name": "canReach", "inputs": [[[4, 2, 3, 0, 3, 1, 2], 5]], "outputs": [true]}
user: Given an array of integers arr.
We want to select three indices i, j and k where (0 <= i < j <= k < arr.length).
Let's define a and b as follows:

a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]
b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]

Note that ^ denotes the bitwise-xor operation.
Return the number of triplets (i, j and k) Where a == b.
 
Example 1:
Input: arr = [2,3,1,6,7]
Output: 4
Explanation: The triplets are (0,1,2), (0,2,2), (2,3,4) and (2,4,4)

Example 2:
Input: arr = [1,1,1,1,1]
Output: 10

Example 3:
Input: arr = [2,3]
Output: 0

Example 4:
Input: arr = [1,3,5,7,9]
Output: 3

Example 5:
Input: arr = [7,11,12,9,5,2,7,17,22]
Output: 8

 
Constraints:

1 <= arr.length <= 300
1 <= arr[i] <= 10^8

Answer: {"fn_name": "countTriplets", "inputs": [[[2, 3, 1, 6, 7]]], "outputs": [4]}
user: Given a list of words, list of  single letters (might be repeating) and score of every character.
Return the maximum score of any valid set of words formed by using the given letters (words[i] cannot be used two or more times).
It is not necessary to use all characters in letters and each letter can only be used once. Score of letters 'a', 'b', 'c', ... ,'z' is given by score[0], score[1], ... , score[25] respectively.
 
Example 1:
Input: words = ["dog","cat","dad","good"], letters = ["a","a","c","d","d","d","g","o","o"], score = [1,0,9,5,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]
Output: 23
Explanation:
Score  a=1, c=9, d=5, g=3, o=2
Given letters, we can form the words "dad" (5+1+5) and "good" (3+2+2+5) with a score of 23.
Words "dad" and "dog" only get a score of 21.
Example 2:
Input: words = ["xxxz","ax","bx","cx"], letters = ["z","a","b","c","x","x","x"], score = [4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,10]
Output: 27
Explanation:
Score  a=4, b=4, c=4, x=5, z=10
Given letters, we can form the words "ax" (4+5), "bx" (4+5) and "cx" (4+5) with a score of 27.
Word "xxxz" only get a score of 25.
Example 3:
Input: words = ["leetcode"], letters = ["l","e","t","c","o","d"], score = [0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0]
Output: 0
Explanation:
Letter "e" can only be used once.
 
Constraints:

1 <= words.length <= 14
1 <= words[i].length <= 15
1 <= letters.length <= 100
letters[i].length == 1
score.length == 26
0 <= score[i] <= 10
words[i], letters[i] contains only lower case English letters.

Answer: {"fn_name": "maxScoreWords", "inputs": [[["\"dog\"", "\"cat\"", "\"dad\"", "\"good\""], ["\"a\"", "\"a\"", "\"c\"", "\"d\"", "\"d\"", "\"d\"", "\"g\"", "\"o\"", "\"o\""], [1, 0, 9, 5, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], "outputs": [0]}
user: Given the array nums consisting of n positive integers. You computed the sum of all non-empty continous subarrays from the array and then sort them in non-decreasing order, creating a new array of n * (n + 1) / 2 numbers.
Return the sum of the numbers from index left to index right (indexed from 1), inclusive, in the new array. Since the answer can be a huge number return it modulo 10^9 + 7.
 
Example 1:
Input: nums = [1,2,3,4], n = 4, left = 1, right = 5
Output: 13 
Explanation: All subarray sums are 1, 3, 6, 10, 2, 5, 9, 3, 7, 4. After sorting them in non-decreasing order we have the new array [1, 2, 3, 3, 4, 5, 6, 7, 9, 10]. The sum of the numbers from index le = 1 to ri = 5 is 1 + 2 + 3 + 3 + 4 = 13. 

Example 2:
Input: nums = [1,2,3,4], n = 4, left = 3, right = 4
Output: 6
Explanation: The given array is the same as example 1. We have the new array [1, 2, 3, 3, 4, 5, 6, 7, 9, 10]. The sum of the numbers from index le = 3 to ri = 4 is 3 + 3 = 6.

Example 3:
Input: nums = [1,2,3,4], n = 4, left = 1, right = 10
Output: 50

 
Constraints:

1 <= nums.length <= 10^3
nums.length == n
1 <= nums[i] <= 100
1 <= left <= right <= n * (n + 1) / 2

Answer: {"fn_name": "rangeSum", "inputs": [[[1, 2, 3, 4], 4, 1, 5]], "outputs": [13]}
user: N cars are going to the same destination along a one lane road.  The destination is target miles away.
Each car i has a constant speed speed[i] (in miles per hour), and initial position position[i] miles towards the target along the road.
A car can never pass another car ahead of it, but it can catch up to it, and drive bumper to bumper at the same speed.
The distance between these two cars is ignored - they are assumed to have the same position.
A car fleet is some non-empty set of cars driving at the same position and same speed.  Note that a single car is also a car fleet.
If a car catches up to a car fleet right at the destination point, it will still be considered as one car fleet.

How many car fleets will arrive at the destination?
 
Example 1:
Input: target = 12, position = [10,8,0,5,3], speed = [2,4,1,1,3]
Output: 3
Explanation:
The cars starting at 10 and 8 become a fleet, meeting each other at 12.
The car starting at 0 doesn't catch up to any other car, so it is a fleet by itself.
The cars starting at 5 and 3 become a fleet, meeting each other at 6.
Note that no other cars meet these fleets before the destination, so the answer is 3.


Note:

0 <= N <= 10 ^ 4
0 < target <= 10 ^ 6
0 < speed[i] <= 10 ^ 6
0 <= position[i] < target
All initial positions are different.

Answer: {"fn_name": "carFleet", "inputs": [[12, [10, 8, 0, 5, 3], [2, 4, 1, 1, 3]]], "outputs": [3]}
user: Given two positive integers n and k, the binary string  Sn is formed as follows:

S1 = "0"
Si = Si-1 + "1" + reverse(invert(Si-1)) for i > 1

Where + denotes the concatenation operation, reverse(x) returns the reversed string x, and invert(x) inverts all the bits in x (0 changes to 1 and 1 changes to 0).
For example, the first 4 strings in the above sequence are:

S1 = "0"
S2 = "011"
S3 = "0111001"
S4 = "011100110110001"

Return the kth bit in Sn. It is guaranteed that k is valid for the given n.
 
Example 1:
Input: n = 3, k = 1
Output: "0"
Explanation: S3 is "0111001". The first bit is "0".

Example 2:
Input: n = 4, k = 11
Output: "1"
Explanation: S4 is "011100110110001". The 11th bit is "1".

Example 3:
Input: n = 1, k = 1
Output: "0"

Example 4:
Input: n = 2, k = 3
Output: "1"

 
Constraints:

1 <= n <= 20
1 <= k <= 2n - 1

Answer: {"fn_name": "findKthBit", "inputs": [[3, 1]], "outputs": ["0"]}
user: Given a non-empty array of integers, every element appears three times except for one, which appears exactly once. Find that single one.

Note:

Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?

Example 1:


Input: [2,2,3,2]
Output: 3


Example 2:


Input: [0,1,0,1,0,1,99]
Output: 99

Answer: {"fn_name": "singleNumber", "inputs": [[[2, 2, 3, 2]]], "outputs": [3]}
user: There is a brick wall in front of you. The wall is rectangular and has several rows of bricks. The bricks have the same height but different width. You want to draw a vertical line from the top to the bottom and cross the least bricks. 


The brick wall is represented by a list of rows. Each row is a list of integers representing the width of each brick in this row from left to right. 


If your line go through the edge of a brick, then the brick is not considered as crossed. You need to find out how to draw the line to cross the least bricks and return the number of crossed bricks. 

You cannot draw a line just along one of the two vertical edges of the wall, in which case the line will obviously cross no bricks. 

Example:

Input: 
[[1,2,2,1],
 [3,1,2],
 [1,3,2],
 [2,4],
 [3,1,2],
 [1,3,1,1]]
Output: 2
Explanation: 




Note:

The width sum of bricks in different rows are the same and won't exceed INT_MAX.
The number of bricks in each row is in range [1,10,000]. The height of wall is in range [1,10,000]. Total number of bricks of the wall won't exceed 20,000.

Answer: {"fn_name": "leastBricks", "inputs": [[[[1, 2, 2, 1], [3, 1, 2], [1, 3, 2], [2, 4], [3, 1, 2], [1, 3, 1, 1], [], []]]], "outputs": [4]}
user: You have a pointer at index 0 in an array of size arrLen. At each step, you can move 1 position to the left, 1 position to the right in the array or stay in the same place  (The pointer should not be placed outside the array at any time).
Given two integers steps and arrLen, return the number of ways such that your pointer still at index 0 after exactly steps steps.
Since the answer may be too large, return it modulo 10^9 + 7.
 
Example 1:
Input: steps = 3, arrLen = 2
Output: 4
Explanation: There are 4 differents ways to stay at index 0 after 3 steps.
Right, Left, Stay
Stay, Right, Left
Right, Stay, Left
Stay, Stay, Stay

Example 2:
Input: steps = 2, arrLen = 4
Output: 2
Explanation: There are 2 differents ways to stay at index 0 after 2 steps
Right, Left
Stay, Stay

Example 3:
Input: steps = 4, arrLen = 2
Output: 8

 
Constraints:

1 <= steps <= 500
1 <= arrLen <= 10^6

Answer: {"fn_name": "numWays", "inputs": [[3, 2]], "outputs": [4]}
user: Given an array nums of n integers and an integer target, find three integers in nums such that the sum is closest to target. Return the sum of the three integers. You may assume that each input would have exactly one solution.

Example:


Given array nums = [-1, 2, 1, -4], and target = 1.

The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).

Answer: {"fn_name": "threeSumClosest", "inputs": [[[-4, -1, 1, 2], 1]], "outputs": [2]}
user: Given an array arr of positive integers, consider all binary trees such that:

Each node has either 0 or 2 children;
The values of arr correspond to the values of each leaf in an in-order traversal of the tree.  (Recall that a node is a leaf if and only if it has 0 children.)
The value of each non-leaf node is equal to the product of the largest leaf value in its left and right subtree respectively.

Among all possible binary trees considered, return the smallest possible sum of the values of each non-leaf node.  It is guaranteed this sum fits into a 32-bit integer.
 
Example 1:
Input: arr = [6,2,4]
Output: 32
Explanation:
There are two possible trees.  The first has non-leaf node sum 36, and the second has non-leaf node sum 32.

    24            24
   /  \          /  \
  12   4        6    8
 /  \               / \
6    2             2   4

 
Constraints:

2 <= arr.length <= 40
1 <= arr[i] <= 15
It is guaranteed that the answer fits into a 32-bit signed integer (ie. it is less than 2^31).

Answer: {"fn_name": "mctFromLeafValues", "inputs": [[[6, 2, 4]]], "outputs": [32]}
user: Given n non-negative integers a1, a2, ..., an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.

Answer: {"fn_name": "maxArea", "inputs": [[[1, 8, 6, 2, 5, 4, 8, 3, 7]]], "outputs": [49]}
user: Find the smallest prime palindrome greater than or equal to N.
Recall that a number is prime if it's only divisors are 1 and itself, and it is greater than 1. 
For example, 2,3,5,7,11 and 13 are primes.
Recall that a number is a palindrome if it reads the same from left to right as it does from right to left. 
For example, 12321 is a palindrome.
 

Example 1:
Input: 6
Output: 7


Example 2:
Input: 8
Output: 11


Example 3:
Input: 13
Output: 101



 
Note:

1 <= N <= 10^8
The answer is guaranteed to exist and be less than 2 * 10^8.

Answer: {"fn_name": "primePalindrome", "inputs": [[6]], "outputs": [7]}
user: In an array A containing only 0s and 1s, a K-bit flip consists of choosing a (contiguous) subarray of length K and simultaneously changing every 0 in the subarray to 1, and every 1 in the subarray to 0.
Return the minimum number of K-bit flips required so that there is no 0 in the array.  If it is not possible, return -1.
 
Example 1:
Input: A = [0,1,0], K = 1
Output: 2
Explanation: Flip A[0], then flip A[2].


Example 2:
Input: A = [1,1,0], K = 2
Output: -1
Explanation: No matter how we flip subarrays of size 2, we can't make the array become [1,1,1].


Example 3:
Input: A = [0,0,0,1,0,1,1,0], K = 3
Output: 3
Explanation:
Flip A[0],A[1],A[2]: A becomes [1,1,1,1,0,1,1,0]
Flip A[4],A[5],A[6]: A becomes [1,1,1,1,1,0,0,0]
Flip A[5],A[6],A[7]: A becomes [1,1,1,1,1,1,1,1]

 


Note:

1 <= A.length <= 30000
1 <= K <= A.length

Answer: {"fn_name": "minKBitFlips", "inputs": [[[0, 1, 0], 1]], "outputs": [2]}
user: Given a binary string S (a string consisting only of '0' and '1's) and a positive integer N, return true if and only if for every integer X from 1 to N, the binary representation of X is a substring of S.
 
Example 1:
Input: S = "0110", N = 3
Output: true

Example 2:
Input: S = "0110", N = 4
Output: false

 
Note:

1 <= S.length <= 1000
1 <= N <= 10^9

Answer: {"fn_name": "queryString", "inputs": [["\"0110\"", 3]], "outputs": [true]}
user: A string is called happy if it does not have any of the strings 'aaa', 'bbb' or 'ccc' as a substring.
Given three integers a, b and c, return any string s, which satisfies following conditions:

s is happy and longest possible.
s contains at most a occurrences of the letter 'a', at most b occurrences of the letter 'b' and at most c occurrences of the letter 'c'.
s will only contain 'a', 'b' and 'c' letters.

If there is no such string s return the empty string "".
 
Example 1:
Input: a = 1, b = 1, c = 7
Output: "ccaccbcc"
Explanation: "ccbccacc" would also be a correct answer.

Example 2:
Input: a = 2, b = 2, c = 1
Output: "aabbc"

Example 3:
Input: a = 7, b = 1, c = 0
Output: "aabaa"
Explanation: It's the only correct answer in this case.

 
Constraints:

0 <= a, b, c <= 100
a + b + c > 0

Answer: {"fn_name": "longestDiverseString", "inputs": [[1, 1, 7]], "outputs": ["ccaccbcc"]}
user: Given a n x n matrix where each of the rows and columns are sorted in ascending order, find the kth smallest element in the matrix.


Note that it is the kth smallest element in the sorted order, not the kth distinct element.


Example:

matrix = [
   [ 1,  5,  9],
   [10, 11, 13],
   [12, 13, 15]
],
k = 8,

return 13.



Note: 
You may assume k is always valid, 1 ≤ k ≤ n2.

Answer: {"fn_name": "kthSmallest", "inputs": [[[[1, 5, 9], [10, 11, 13], [12, 13, 15], [], []], 8]], "outputs": [13]}
user: Given an array A of integers, a ramp is a tuple (i, j) for which i < j and A[i] <= A[j].  The width of such a ramp is j - i.
Find the maximum width of a ramp in A.  If one doesn't exist, return 0.
 
Example 1:
Input: [6,0,8,2,1,5]
Output: 4
Explanation: 
The maximum width ramp is achieved at (i, j) = (1, 5): A[1] = 0 and A[5] = 5.


Example 2:
Input: [9,8,1,0,1,9,4,0,4,1]
Output: 7
Explanation: 
The maximum width ramp is achieved at (i, j) = (2, 9): A[2] = 1 and A[9] = 1.




 
Note:

2 <= A.length <= 50000
0 <= A[i] <= 50000

Answer: {"fn_name": "maxWidthRamp", "inputs": [[[6, 0, 8, 2, 1, 5]]], "outputs": [4]}