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[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are three cards with letters $\\texttt{a}$, $\\texttt{b}$, $\\texttt{c}$ placed in a row in some order. You can ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
0
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem, we need to create a function that checks whether it's possible to rearrange a string of three characters ('a', 'b', 'c') into the order 'abc' by performing at most one swap of two characters. Here's the implementation of that logic in Python: ```python def can_form_abc(): import sys inp...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the p...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
1
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
Here is the Python function that solves the problem as described in your prompt. The function reads input from standard input, processes the test cases, and prints the maximum product possible after adding 1 to exactly one digit of the given array. ```python def max_product_with_increment(): import sys input =...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a strip of paper $s$ that is $n$ cells long. Each cell is either black or white. In an operation you can...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
2
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem, we can implement a function that processes multiple test cases of converting black cells ('B') to white cells ('W') on a strip of paper using the minimum number of operations described. The approach involves iterating through the string and counting how many operations are necessary by focusing on...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a string $s$ of length $n$, consisting of lowercase Latin letters, and an integer $k$.\n\nYou need to ch...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
3
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem of determining whether it's possible to rearrange the remaining characters after removing exactly `k` characters from a string `s` to form a palindrome, we need to analyze the frequency of the characters and how they can contribute to a palindrome structure. A string can be rearranged to form a pa...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an array of integers $a_1, a_2, \\ldots, a_n$ and a number $k$ ($2 \\leq k \\leq 5$). In one operation, ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
4
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
Here's a Python function that follows your requirements. It reads input from standard input, processes the data, and prints the minimum number of operations needed for each test case to make the product of the numbers in the array divisible by `k`. ```python def min_operations_to_make_product_divisible(): import s...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vanya and Vova are playing a game. Players are given an integer $n$. On their turn, the player can add $1$ to the curr...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
5
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem, we need to determine the winner between Vanya and Vova based on the game rules specified. Vanya can either add 1 or subtract 1 from the integer β€˜n’ and he starts first. He wins if after his move the integer is divisible by 3. If no one wins after 10 moves, Vova wins. Given that both players play ...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Alex is participating in the filming of another video of BrMeast, and BrMeast asked Alex to prepare 250 thousand tons ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
6
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem, we need to determine the maximum absolute difference in total weights between loads from trucks that can hold an exact number of boxes. Let's break down the solution step by step. ### Steps to Solution: 1. **Understanding the Loading Process**: - If we have `n` boxes, we can load them into `n...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A subarray is a continuous part of array.\n\nYarik recently found an array $a$ of $n$ elements and became very interes...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
7
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
Here is the Python function that implements the logic to find the maximum sum of non-empty subarrays with alternating parity as described in the prompt. The function reads from standard input, processes multiple test cases, and prints the maximum sums for each test case. ```python def max_alternating_sum_subarray(): ...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Yarik is a big fan of many kinds of music. But Yarik loves not only listening to music but also writing it. He likes e...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
8
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
To solve the problem, we need to count pairs `(i, j)` such that `b_i^b_j = b_j^b_i`, where `b_i = 2^(a_i)` and `b_j = 2^(a_j)`. This condition holds true if: - Both `a_i` and `a_j` are equal, or - The smaller of the two values divides the larger (`a_i` divides `a_j` or vice versa), which can be checked using `gcd`. ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array of strings details. Each element of details provides information about a given passenger compressed into a string of length 15....
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
9
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_passengers_over_60(details): count = 0 for detail in details: age = int(detail[10:12]) # Extract the age from the detail string if age > 60: # Check if the age is greater than 60 count += 1 return count ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty:\n\nFrom each row ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
10
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def matrix_score(nums): score = 0 while nums: # Get the largest number from each row and remove it max_numbers = [max(row) for row in nums] # Find the highest number among the removed numbers max_value = max(max_numbers) # Add to score score += max_value...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums of length n and an integer k. In an operation, you can choose an element and multiply it by 2.\nReturn the maximum...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
11
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maximumBitwiseOr(nums, k): max_or = 0 for i in range(len(nums)): original = nums[i] for j in range(k + 1): nums[i] = original * (2 ** j) current_or = 0 for num in nums: current_or |= num max_or = max(max_or, curre...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums representing the score of students in an exam. The teacher would like to form one non-empty group of students with...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
12
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maxStrength(nums): # Separate the positive, negative, and zero values positives = [num for num in nums if num > 0] negatives = [num for num in nums if num < 0] # Calculate the maximum product if len(negatives) % 2 != 0: # If we have an odd number of negatives, we can ignore the l...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed string s and a dictionary of words dictionary. You have to break s into one or more non-overlapping substrings such that each substri...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
13
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_extra_characters(s, dictionary): n = len(s) dp = [0] * (n + 1) # Create a set for faster lookup word_set = set(dictionary) # Fill the dp array for i in range(n + 1): # start by assuming all characters are extra dp[i] = i for j in range(i...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array prices representing the prices of various chocolates in a store. You are also given a single integer money, which represents you...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
14
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def buy_chocolates(prices, money): n = len(prices) min_sum = float('inf') # Check all pairs of chocolates for i in range(n): for j in range(i + 1, n): total_cost = prices[i] + prices[j] if total_cost <= money: min_sum = min(min_sum, total_co...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two numeric strings num1 and num2 and two integers max_sum and min_sum. We denote an integer x to be good if:\n\nnum1 <= x <= num2\nmin_sum <= di...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
15
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_good_integers(num1: str, num2: str, min_sum: int, max_sum: int) -> int: MOD = 10**9 + 7 def digit_sum(x: int) -> int: return sum(int(digit) for digit in str(x)) start = int(num1) end = int(num2) count = 0 for x in range(start, end + 1): s = digit_sum(x)...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array nums of length n.\nThe distinct difference array of nums is an array diff of length n such that diff[i] is equal to the number ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
16
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def distinctDifferenceArray(nums): n = len(nums) diff = [0] * n prefix_set = set() suffix_count = {} # Count frequency of each number in the suffix for num in nums: suffix_count[num] = suffix_count.get(num, 0) + 1 for i in range(n): # Update prefix_set and...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.There is a 0-indexed array nums of length n. Initially, all elements are uncolored (has a value of 0).\nYou are given a 2D integer array queries where queries[...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
17
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def colorTheArray(n, queries): nums = [0] * n answer = [] adjacent_count = 0 for index, color in queries: # Check the left neighbor if index > 0 and nums[index] == nums[index - 1] and nums[index] != 0: adjacent_count -= 1 if index > 0 and color == nums[inde...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums representing the strength of some heroes. The power of a group of heroes is defined as follows:\n\nLet i_0, i_1, ....
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
18
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def sum_of_hero_powers(nums): MOD = 10**9 + 7 n = len(nums) total_power = 0 # Sort the heroes based on their strength nums.sort() # To keep track of powers contributed by each hero as max for i in range(n): max_strength = nums[i] # Count how many groups ca...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed permutation of n integers nums.\nA permutation is called semi-ordered if the first number equals 1 and the last number equals n. You ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
19
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_operations_to_semi_ordered(nums): n = len(nums) first_one_index = nums.index(1) last_n_index = nums.index(n) # Count the number of swaps needed to move '1' to front and 'n' to back swaps = first_one_index + (n - 1 - last_n_index) # If '1' is to the right of 'n', we ne...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed string s that consists of digits from 0 to 9.\nA string t is called a semi-repetitive if there is at most one consecutive pair of the...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
20
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def longest_semi_repetitive_substring(s: str) -> int: max_length = 0 current_length = 0 count_same_pairs = 0 prev_char = None for char in s: if char == prev_char: count_same_pairs += 1 else: count_same_pairs = 0 if count_same_pairs <= 1: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.There are n friends that are playing a game. The friends are sitting in a circle and are numbered from 1 to n in clockwise order. More formally, moving clockwi...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
21
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def find_losers(n, k): ball_holder = 1 # 1st friend starts with the ball seen = set() # To track which friends have received the ball losers = [] # To track losers while ball_holder not in seen: seen.add(ball_holder) # Mark the current holder as having received the ball ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.A 0-indexed array derived with length n is derived by computing the bitwise XOR (βŠ•) of adjacent values in a binary array original of length n.\nSpecifically, f...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
22
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def can_form_original(derived): n = len(derived) if n == 1: return derived[0] == 0 # for a single element, it must be 0 to form a valid binary array # If we assume original[0] = x, then we can derive the following equations: # original[1] = derived[0] βŠ• x # original[2] = deri...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s consisting only of uppercase English letters.\nYou can apply some operations to this string where, in one operation, you can remove an...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
23
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minimum_length_after_removals(s: str) -> int: stack = [] for char in s: stack.append(char) # Check the last two characters in the stack while len(stack) >= 2 and (stack[-2] == 'A' and stack[-1] == 'B' or stack[-2] == 'C' and stack[-1] == 'D'): stack.pop() ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a positive integer n, return the punishment number of n.\nThe punishment number of n is defined as the sum of the squares of all integers i such that:\n\...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
24
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def punishment_number(n): def can_partition(num_str, target): # Function to check if num_str can be partitioned into contiguous substrings that sum to target length = len(num_str) dp = [False] * (target + 1) dp[0] = True # base case: zero can always be formed ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two 0-indexed integer arrays, cost and time, of size n representing the costs and the time taken to paint n different walls respectively. There a...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
25
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_cost_to_paint_walls(cost, time): n = len(cost) # dp[i] will hold the minimum cost to paint the first i walls dp = [float('inf')] * (n + 1) dp[0] = 0 # No walls, no cost for i in range(n): # Option 1: Paint the i-th wall with the paid painter dp[i + 1] = min(d...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums of size n representing the cost of collecting different chocolates. The cost of collecting the chocolate at the in...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
26
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_cost_to_collect_chocolates(nums, x): n = len(nums) total_cost = sum(nums) min_cost = total_cost # Attempt to collect chocolates while rotating types for i in range(n): # Cost if we perform i rotations rotation_cost = i * x # Compute cost with the curren...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two integers, n and k.\nAn array of distinct positive integers is called a k-avoiding array if there does not exist any pair of distinct elements...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
27
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_k_avoiding_sum(n, k): result = [] num = 1 while len(result) < n: if (k - num) not in result: result.append(num) num += 1 return sum(result) ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two integers, num and t.\nAn integer x is called achievable if it can become equal to num after applying the following operation no more than t t...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
28
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maximum_achievable_number(num, t): return num + t * 2 ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s consisting of lowercase English letters, and you are allowed to perform operations on it. In one operation, you can replace a characte...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
29
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def make_smallest_palindrome(s: str) -> str: n = len(s) s_list = list(s) # Convert string to a list for mutation for i in range(n // 2): left_char = s_list[i] right_char = s_list[n - 1 - i] # Choose the smaller character to ensure lexicographical order if left_char...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed binary string s of length n on which you can apply two types of operations:\n\nChoose an index i and invert all characters from index...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
30
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minCostToEqual(s: str) -> int: n = len(s) # Count the number of 0's and 1's in the string count0 = s.count('0') count1 = n - count0 # If the string is already uniform if count0 == 0 or count1 == 0: return 0 # Initialize minimum cost min_cost = float('inf')...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a positive integer num represented as a string, return the integer num without trailing zeros as a string.\n \nExample 1:\n\nInput: num = \"51230100\"\nO...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
31
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def remove_trailing_zeros(num: str) -> str: return num.rstrip('0') ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer n that consists of exactly 3 digits.\nWe call the number n fascinating if, after the following modification, the resulting number cont...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
32
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def is_fascinating(n): # Step 1: Calculate 2*n and 3*n n2 = 2 * n n3 = 3 * n # Step 2: Concatenate n, 2*n, and 3*n concatenated = str(n) + str(n2) + str(n3) # Step 3: Check if the concatenated number contains all digits from 1 to 9 exactly once return sorted(concatenated)...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a 0-indexed string s, repeatedly perform the following operation any number of times:\n\nChoose an index i in the string, and let c be the character in p...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
33
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minimize_string_length(s: str) -> int: stack = [] for char in s: if stack and stack[-1] == char: stack.pop() # Remove the last character in the stack if it's the same else: stack.append(char) # Add current character to the stack return len(stack) ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums, and you are allowed to traverse between its indices. You can traverse between index i and index j, i != j, if and...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
34
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python from math import gcd from collections import defaultdict, deque def can_traverse(nums): n = len(nums) # Create a graph using an adjacency list representation graph = defaultdict(list) # Build the graph based on the gcd condition for i in range(n): for j in range(i + 1, n...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s consisting of only lowercase English letters. In one operation, you can do the following:\n\nSelect any non-empty substring of s, poss...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
35
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def lexicographically_smallest_string(s: str) -> str: # Initialize the result as a list of characters from the original string result = list(s) # Iterate through the string to find the first character which is greater than 'a' for i in range(len(result)): # If the character is 'a'...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums. A pair of indices i, j where 0 <= i < j < nums.length is called beautiful if the first digit of nums[i] and the l...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
36
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python from math import gcd def count_beautiful_pairs(nums): beautiful_count = 0 # Function to get the first digit of a number def first_digit(n): while n >= 10: n //= 10 return n for i in range(len(nums)): for j in range(i + 1, len(nums)): if gc...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums and an integer k.\nA subarray is called equal if all of its elements are equal. Note that the empty subarray is an...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
37
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def longest_equal_subarray(nums, k): left = 0 max_length = 0 freq_map = {} for right in range(len(nums)): # Count the frequency of the current number freq_map[nums[right]] = freq_map.get(nums[right], 0) + 1 # Find the count of the most frequent element in ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer n denoting the total number of servers and a 2D 0-indexed integer array logs, where logs[i] = [server_id, time] denotes that the serve...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
38
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_servers_without_requests(n, logs, x, queries): from collections import defaultdict # Prepare a dictionary to track the requests for each server server_requests = defaultdict(list) # Populate the server_requests with the logs data for server_id, time in logs: server_requ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums representing the initial positions of some marbles. You are also given two 0-indexed integer arrays moveFrom and m...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
39
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def moveMarbles(nums, moveFrom, moveTo): occupied_positions = set(nums) for from_pos, to_pos in zip(moveFrom, moveTo): if from_pos in occupied_positions: occupied_positions.discard(from_pos) occupied_positions.add(to_pos) return sorted(occupied_positions) ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two integers num1 and num2.\nIn one operation, you can choose integer i in the range [0, 60] and subtract 2^i + num2 from num1.\nReturn the integ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
40
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_operations(num1, num2): if num2 >= 0: return -1 operations = 0 target = num1 while target > 0: max_subtract = (1 << 60) + num2 # 2^60 + num2 if max_subtract <= 0: return -1 # Choose the largest power of 2 we can subtract hi...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two 0-indexed integer arrays nums1 and nums2, each of length n, and a 1-indexed 2D array queries where queries[i] = [x_i, y_i].\nFor the i^th que...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
41
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maxValue(nums1, nums2, queries): n = len(nums1) answer = [] # Create a list of tuples where each tuple contains the sum and corresponding indexes sums = [(nums1[j] + nums2[j], nums1[j], nums2[j]) for j in range(n)] # Sort the sums in decreasing order sums.sort(reverse=Tru...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 1-indexed integer array nums of length n.\nAn element nums[i] of nums is called special if i divides n, i.e. n % i == 0.\nReturn the sum of the...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
42
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def sum_of_squares_of_special_elements(nums): n = len(nums) total_sum = 0 for i in range(1, n + 1): if n % i == 0: total_sum += nums[i - 1] ** 2 return total_sum ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a positive integer array nums.\nPartition nums into two arrays, nums1 and nums2, such that:\n\nEach element of the array nums belongs to either t...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
43
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minimize_partition_value(nums): nums.sort() min_partition_value = float('inf') for i in range(len(nums) - 1): max_nums1 = nums[i] min_nums2 = nums[i + 1] partition_value = abs(max_nums1 - min_nums2) if partition_value < min_partition_value: min_...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array words consisting of distinct strings.\nThe string words[i] can be paired with the string words[j] if:\n\nThe string words[i] is...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
44
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_pairs(words): word_set = set(words) count = 0 for word in words: reversed_word = word[::-1] if reversed_word in word_set: count += 1 word_set.remove(word) # Ensures each word is only used once word_set.remove(reversed_word) # Remov...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums containing n distinct positive integers. A permutation of nums is called special if:\n\nFor all indexes 0 <= i < n...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
45
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def specialPerm(nums): from math import gcd from functools import lru_cache n = len(nums) MOD = 10**9 + 7 @lru_cache(None) def backtrack(mask, last_num): if mask == (1 << n) - 1: # all numbers are used return 1 total_permutations = 0 ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.The imbalance number of a 0-indexed integer array arr of length n is defined as the number of indices in sarr = sorted(arr) such that:\n\n0 <= i < n - 1, and\n...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
46
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def sum_of_imbalance_numbers(nums): n = len(nums) total_imbalance = 0 # Iterate through all possible starting indices of the subarrays for start in range(n): # Create a list to hold the current subarray subarray = [] # Iterate through all possible ending i...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given three integers x, y, and z.\nYou have x strings equal to \"AA\", y strings equal to \"BB\", and z strings equal to \"AB\". You want to choose som...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
47
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_length(x, y, z): # If the number of "AA" and "BB" strings is similar, we can alternate them optimally. if x > y: # Ensure x is always less than or equal to y for simplicity x, y = y, x # Initialize the maximum length and use all strings we can length = 0 ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array words containing n strings.\nLet's define a join operation join(x, y) between two strings x and y as concatenating them into xy...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
48
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minimize_length(words): def join(x, y): if x[-1] == y[0]: return x + y[1:] # Remove the first character of y return x + y n = len(words) dp = [[float('inf')] * 2 for _ in range(n)] # Initial length dp[0][0] = len(words[0]) # Using str_0 directly ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array nums of n integers and an integer target.\nYou are initially positioned at index 0. In one step, you can jump from index i to a...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
49
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_jumps(nums, target): n = len(nums) if n == 1: return 0 dp = [-1] * n dp[0] = 0 for i in range(n): if dp[i] == -1: continue for j in range(i + 1, n): if -target <= nums[j] - nums[i] <= target: dp[j] = max(dp[j...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an array nums consisting of positive integers.\nWe call a subarray of an array complete if the following condition is satisfied:\n\nThe number of...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
50
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_complete_subarrays(nums): n = len(nums) distinct_count = len(set(nums)) complete_count = 0 for start in range(n): seen = {} unique_elements = 0 for end in range(start, n): if nums[end] not in seen: seen[nums[end]] = 0 ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.A truck has two fuel tanks. You are given two integers, mainTank representing the fuel present in the main tank in liters and additionalTank representing the f...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
51
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maximumDistance(mainTank: int, additionalTank: int) -> int: distance = 0 fuel_used = 0 while mainTank > 0: # Calculate the distance for the current fuel distance += min(mainTank, 5) * 10 fuel_used += min(mainTank, 5) mainTank -= min(mainTank, 5) ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums and an integer threshold.\nFind the length of the longest subarray of nums starting at index l and ending at index...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
52
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def longest_subarray(nums, threshold): n = len(nums) max_length = 0 for l in range(n): if nums[l] % 2 == 0 and nums[l] <= threshold: current_length = 1 for r in range(l + 1, n): if nums[r] <= threshold and nums[r] % 2 != nums[r - 1] % 2: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a binary array nums.\nA subarray of an array is good if it contains exactly one element with the value 1.\nReturn an integer denoting the number ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
53
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_good_subarrays(nums): MOD = 10**9 + 7 count = 0 last_one_index = -1 total_ways = 1 for i in range(len(nums)): if nums[i] == 1: if last_one_index != -1: # Calculate the number of zeros between the last 1 and the current 1 zeros_...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums. A subarray of nums is called continuous if:\n\nLet i, i + 1, ..., j_ be the indices in the subarray. Then, for ea...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
54
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_continuous_subarrays(nums): n = len(nums) left = 0 total_count = 0 for right in range(n): while left < right and abs(nums[right] - nums[left]) > 2: left += 1 total_count += right - left + 1 return total_count ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given two 0-indexed integer arrays nums1 and nums2 of length n.\nLet's define another 0-indexed integer array, nums3, of length n. For each index i in ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
55
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maxNonDecreasingLength(nums1, nums2): n = len(nums1) max_length = 1 current_length = 1 for i in range(1, n): if max(nums1[i], nums2[i]) >= min(nums1[i - 1], nums2[i - 1]): current_length += 1 max_length = max(max_length, current_length) else: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums. A subarray s of length m is called alternating if:\n\nm is greater than 1.\ns_1 = s_0 + 1.\nThe 0-indexed subarra...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
56
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_length_alternating_subarray(nums): max_length = -1 current_length = 0 for i in range(len(nums) - 1): if nums[i + 1] - nums[i] == 1: current_length += 1 elif nums[i + 1] - nums[i] == -1 and current_length > 0: current_length += 1 else: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array nums consisting of positive integers.\nYou can do the following operation on the array any number of times:\n\nChoose an intege...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
57
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_element_after_operations(nums): n = len(nums) if n == 1: return nums[0] # We will traverse the array from right to left for i in range(n - 2, -1, -1): if nums[i] <= nums[i + 1]: nums[i + 1] += nums[i] nums[i] = 0 # Effectively deleting nums...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer n. We say that two integers x and y form a prime number pair if:\n\n1 <= x <= y <= n\nx + y == n\nx and y are prime numbers\n\nReturn ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
58
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def prime_pairs(n): def is_prime(num): if num < 2: return False for i in range(2, int(num**0.5) + 1): if num % i == 0: return False return True primes = [i for i in range(2, n + 1) if is_prime(i)] prime_set = set(primes) result =...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.There are n employees in a company, numbered from 0 to n - 1. Each employee i has worked for hours[i] hours in the company.\nThe company requires each employee...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
59
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_employees_meeting_target(hours, target): count = 0 for hour in hours: if hour >= target: count += 1 return count ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given three strings a, b, and c, your task is to find a string that has the minimum length and contains all three strings as substrings.\nIf there are multiple...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
60
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def minimum_superstring(a: str, b: str, c: str) -> str: def overlap(s1: str, s2: str) -> int: max_overlap = 0 for i in range(1, min(len(s1), len(s2)) + 1): if s1[-i:] == s2[:i]: max_overlap = i return max_overlap def merge(s1: str, s2: str) -> s...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums and a positive integer k.\nYou can apply the following operation on the array any number of times:\n\nChoose any s...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
61
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def can_make_all_elements_zero(nums, k): max_num = max(nums) # If k is greater than the length of nums, we cannot cover all elements. if k > len(nums): return all(num == 0 for num in nums) # Create an array to keep track of the operations applied operations = [0] * len(nums) ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a string s and an integer k, partition s into k substrings such that the sum of the number of letter changes required to turn each substring into a semi-...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
62
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_letter_changes_to_semi_palindrome(s: str, k: int) -> int: def count_changes_to_semi_palindrome(sub: str) -> int: n = len(sub) changes = 0 for d in range(1, n): # Check for all possible d values if n % d == 0: is_semi_palindrome = True ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given an array of strings words and a character separator, split each string in words by separator.\nReturn an array of strings containing the new strings form...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
63
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def split_words(words, separator): result = [] for word in words: split_strings = word.split(separator) result.extend([s for s in split_strings if s]) return result ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given two positive integers n and x.\nReturn the number of ways n can be expressed as the sum of the x^th power of unique positive integers, in other words, th...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
64
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def count_expressions(n: int, x: int) -> int: MOD = 10**9 + 7 # Memoization dictionary to store results for (n, last_num) memo = {} def dp(n, last_num): if n == 0: return 1 if n < 0: return 0 if last_num <= 0: return 0 ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a binary string s, partition the string into one or more substrings such that each substring is beautiful.\nA string is beautiful if:\n\nIt doesn't conta...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
65
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def min_beautiful_substrings(s: str) -> int: def is_beautiful(substr: str) -> bool: if substr[0] == '0': # Check for leading zeros return False # Convert binary string to integer num = int(substr, 2) # Check if num is a power of 5 while num > 1: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string word and an array of strings forbidden.\nA string is called valid if none of its substrings are present in forbidden.\nReturn the length...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
66
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def longest_valid_substring(word, forbidden): forbidden_set = set(forbidden) max_length = 0 start = 0 while start < len(word): end = start while end < len(word): valid = True for f in forbidden: if f in word[start:end+1]: ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Your laptop keyboard is faulty, and whenever you type a character 'i' on it, it reverses the string that you have written. Typing other characters works as exp...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
67
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def faulty_keyboard(s: str) -> str: result = [] for char in s: if char == 'i': result.reverse() else: result.append(char) return ''.join(result) ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a 0-indexed string s, permute s to get a new string t such that:\n\nAll consonants remain in their original places. More formally, if there is an index i...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
68
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def sort_vowels(s: str) -> str: vowels = 'aeiouAEIOU' vowel_positions = [] sorted_vowels = [] # Collect the vowels and their positions for i, char in enumerate(s): if char in vowels: vowel_positions.append(i) sorted_vowels.append(char) # Sort the vowel...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.An element x of an integer array arr of length m is dominant if freq(x) * 2 > m, where freq(x) is the number of occurrences of x in arr. Note that this definit...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
69
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def find_min_valid_split(nums): from collections import Counter n = len(nums) count = Counter(nums) # Find the dominant element and its frequency dominant_element = max(count, key=lambda x: count[x]) dominant_freq = count[dominant_element] # Validate the dominant criteria ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array nums and a non-negative integer k.\nIn one operation, you can do the following:\n\nChoose an index i that hasn't been chosen be...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
70
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def maximum_beauty(nums, k): from collections import Counter # Create a counter to count occurrences count = Counter(nums) # Get the maximum possible value (min value + k) for each unique number max_beauty = 0 for num in count: # Calculate the maximum number we can ac...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array nums. We consider an array good if it is a permutation of an array base[n].\nbase[n] = [1, 2, ..., n - 1, n, n] (in other words,...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
71
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def isGoodArray(nums): n = max(nums) if len(nums) != n + 1: return False count = [0] * (n + 1) for num in nums: if num < 1 or num > n: return False count[num] += 1 return count[n] == 2 and all(count[i] == 1 for i in range(1, n)) ```
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums and a positive integer x.\nYou are initially at position 0 in the array and you can visit other positions accordin...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
72
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "" }
```python def max_score(nums, x): n = len(nums) dp = [0] * n dp[0] = nums[0] # Start with the score at the first position for i in range(1, n): dp[i] = dp[i - 1] + nums[i] # Base case: take previous score and add current for j in range(i): if (nums[j] % 2) != (nums[i] ...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums. You have to find the maximum sum of a pair of numbers from nums such that the maximum digit in both numbers are e...
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LiveCodeBench
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```python def max_sum_equal_max_digit(nums): from collections import defaultdict # A dictionary to hold the maximum number for each maximum digit max_digit_map = defaultdict(list) # Iterate through the numbers in the list for num in nums: # Find the maximum digit in the current number ...
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Dataset card for REASONING_evalchemy_2_sharded_gpt-4o-mini

This dataset was made with Curator.

Dataset details

A sample from the dataset:

{
    "context": [
        {
            "content": "Problem: A list of positive integers has the following properties: $\\bullet$  The sum of the items in the list is  $30$ . $\\bullet$  The unique mode of the list is  $9$ . $\\bullet$  The median of the list is a positive integer that does not appear in the list itself. Find the sum of the squares of all the items in the list.\nMark your solution with \\boxed\nAnswer:",
            "role": "user"
        }
    ],
    "gen_kwargs": {
        "do_sample": false,
        "max_new_tokens": 32768,
        "seed": 1,
        "temperature": 0.7
    },
    "repeat_idx": 1,
    "request_idx": 1,
    "task_name": "AIME24",
    "metadata": {
        "expected_answer": "236",
        "problem_id": "aime24-1",
        "reference_solution": "The third condition implies that the list's size must be an even number, as if it were an odd number, the median of the list would surely appear in the list itself. Therefore, we can casework on what even numbers work. Say the size is 2. Clearly, this doesn't work as the only list would be  $\\{9, 9\\}$ , which doesn't satisfy condition 1. If the size is 4, then we can have two  $9$ s, and a remaining sum of  $12$ . Since the other two values in the list must be distinct, and their sum must equal  $30-18=12$ , we have that the two numbers are in the form  $a$  and  $12-a$ . Note that we cannot have both values greater than  $9$ , and we cannot have only one value greater than  $9$ , because this would make the median  $9$ , which violates condition 3. Since the median of the list is a positive integer, this means that the greater of  $a$  and  $12-a$  must be an odd number. The only valid solution to this is  $a=5$ . Thus, our answer is  $5^2+7^2+9^2+9^2 = \\boxed{236}$ . ~akliu"
    },
    "model_outputs": "Let's denote the list of positive integers as a1,a2,ldots,an a_1, a_2, \\ldots, a_n , where n n  is the number of items in the list and the integers are sorted such that a1leqa2leqcdotsleqan a_1 \\leq a_2 \\leq \\cdots \\leq a_n .\n\n**Step 1: Conditions based on the given properties.**\n\n- The sum of the items is:\n\n\\[\na_1 + a_2 + \\cdots + a_n = 30\n\\]\n\n- The unique mode is 9, meaning 9 must appear more frequently than any other number. Let m m  be the number of times 9 appears in the list.\n\n- The list must contain at least one other number besides 9 to maintain the uniqueness of the mode. Thus, mgeq2 m \\geq 2 .\n\n**Step 2: Considering the median.**\n\nLet k k  be the median of the list. The median is the middle value if n n  is odd, or the average of the two middle values if n n  is even.\n\nSince k k  is a positive integer and does not appear in the list, we will explore some values for k k .\n\n**Step 3: Initial configurations.**\n\nAssuming m=6 m = 6 , this would imply that 9 occurs significantly in the list, and we can begin our list configuration from here. Let's assume the list has the following structure:\n\n\\[\n9, 9, 9, 9, 9, 9, x_1, x_2, \\ldots \n\\]\n\nWe can consider the situation where n=8 n = 8  making k k  the 4th item (odd n n ):\n\n1. The sum of the first 6 terms:\n   \\[\n   6 \\times 9 = 54 \\\\\n   30 - 54 = -24 \\quad (\\text{not possible, too large})\n   \\]\n\nNext, let\u2019s reduce the count of nines. Trying with m=5 m = 5  gives us:\n\n\\[\n9, 9, 9, 9, 9, x_1, x_2\n\\]\n\nSo, here it gives:\n\n\\[\n5 \\times 9 = 45\\\\\n30 - 45 = -15 \\quad (\\text{still too large})\n\\]\n\nReducing m=4 m = 4 :\n\n\\[\n9, 9, 9, 9, x_1, x_2 \\quad (a = 4)\n\\\\\n4 \\times 9 = 36 \\\\\n30 - 36 = -6 \\quad(\n0, \\text{not possible})\n\\]\n\nTrying with m=3 m = 3 :\n\n\\[\n9, 9, 9, x_1, x_2\n\\\\\n3 \\times 9 = 27 \\\\\n30 - 27 = 3 \n\\]\n\nThus, possible pairs emerge as taking numbers into account and checking where mode uniqueness holds, say if x1=1 x_1 = 1 , hence updating remains value 3βˆ’1=2 3 - 1 = 2 giving:\n\n\\[\n9, 9, 9, 1, 1, 2\n\\]\n\nThis would yield:\n\n**Step 4: Finding median.**\n\nIn this structure, 2 occupies its position, hence recursing on its median status gives 2 occupies, does the sum pattern meet criteria for entries \u2013 assume x1=1,x2=2 x_1 = 1, x_2 = 2  hence yields terms at an arithmetic package.\n\nThe sequence finally giving:\n\n\\[\n\\[9, 9, 9, 1, 1, 1, 2\\]\n\\]\n\nWhere:\n- Total count 6 comprises shifts of entity terms maintain pattern for sought median.\n\n**Calculating the squares:**\n\n1. Confirm the items:\n\n\\[\n3 \\cdot 9 + 2 (1 + 1 + 2)\n= 9^2(3) + 5^2 = 3 + 2^2 = [81 + 1 + 1 + 4]\n= 86\n\\]\n\nThus,\n\n\\[\n\\mathbf{Answer:} \\quad 81 + 81 + 81 + 1 + 4 = 246\\]\n\nHence sum of squares:\n\n\\[\n\\boxed{246}\n\\] as ultimately the valid construction holding is clear as conditions defined sequential."
}

Loading the dataset

You can load this dataset using the following code:

from datasets import load_dataset

dataset = load_dataset("mlfoundations-dev/REASONING_evalchemy_2_sharded_gpt-4o-mini", split="default")

Evaluation Results

Summary

Metric AIME24 AIME25 AMC23 GPQADiamond MATH500
Accuracy 6.0 9.3 52.0 32.8 72.2

AIME24

  • Average Accuracy: 6.00% Β± 1.74%
  • Number of Runs: 5
Run Accuracy Questions Solved Total Questions
1 3.33% 1 30
2 0.00% 0 30
3 10.00% 3 30
4 10.00% 3 30
5 6.67% 2 30

AIME25

  • Average Accuracy: 9.33% Β± 1.12%
  • Number of Runs: 5
Run Accuracy Questions Solved Total Questions
1 6.67% 2 30
2 10.00% 3 30
3 10.00% 3 30
4 6.67% 2 30
5 13.33% 4 30

AMC23

  • Average Accuracy: 52.00% Β± 1.64%
  • Number of Runs: 5
Run Accuracy Questions Solved Total Questions
1 47.50% 19 40
2 55.00% 22 40
3 50.00% 20 40
4 50.00% 20 40
5 57.50% 23 40

GPQADiamond

  • Average Accuracy: 32.83% Β± 4.13%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 28.28% 56 198
2 27.27% 54 198
3 42.93% 85 198

MATH500

  • Accuracy: 72.20%
    Accuracy Questions Solved Total Questions
    72.20% 361 500
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