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question:You are given a grid of size n x m, where each cell contains an integer representing the height of that cell. You can move to any of the four adjacent cells (up, down, left, or right) if the height difference between the current cell and the destination cell does not exceed a specified limit k. Your task is to determine if it is possible to start from the top-left corner of the grid (cell (1, 1)) and reach the bottom-right corner of the grid (cell (n, m)). Input The first line contains three integers n, m, and k (1 ≤ n, m ≤ 1000, 0 ≤ k ≤ 106) — the number of rows, the number of columns, and the maximum allowed height difference between adjacent cells, respectively. Each of the next n lines contains m integers, representing the heights of the cells in the grid. Output Output "YES" if it is possible to reach the bottom-right corner of the grid from the top-left corner, and "NO" otherwise. Examples Input 3 3 2 1 3 5 2 8 3 4 4 4 Output YES Input 3 3 1 1 3 5 2 8 3 4 4 4 Output NO Note In the first example, you can move as follows: - (1, 1) -> (2, 1) -> (3, 1) -> (3, 2) -> (3, 3) with height differences of 1, 2, 0, 0, which are all ≤ 2. In the second example, there is no valid path with height differences not exceeding 1 starting from (1, 1) to (3, 3).

answer:def can_reach_end(n, m, k, grid): from collections import deque def is_valid(x, y): return 0 <= x < n and 0 <= y < m directions = [(-1, 0), (1, 0), (0, -1), (0, 1)] visited = [[False] * m for _ in range(n)] queue = deque([(0, 0)]) visited[0][0] = True while queue: x, y = queue.popleft() if x == n-1 and y == m-1: return "YES" for dx, dy in directions: nx, ny = x + dx, y + dy if is_valid(nx, ny) and not visited[nx][ny] and abs(grid[nx][ny] - grid[x][y]) <= k: visited[nx][ny] = True queue.append((nx, ny)) return "NO" # Example usage: # n, m, k = 3, 3, 2 # grid = [ # [1, 3, 5], # [2, 8, 3], # [4, 4, 4] # ] # print(can_reach_end(n, m, k, grid)) # Output: YES

question:You are given an array of integers. Your task is to write a program that finds and prints the product of all elements in the array except the current element for each position in the array. Input: The first line contains an integer T, denoting the number of test cases. Each test case starts with an integer N, denoting the number of elements in the array. The next line contains N integers separated by spaces, which represent the elements of the array. Output: For each test case, print N integers separated by spaces, where the i-th integer is the product of all elements of the array except the i-th element. Constraints: 1 ≤ T ≤ 10 1 ≤ N ≤ 20 1 ≤ A[i] ≤ 10 SAMPLE INPUT 2 3 1 2 3 4 2 3 4 5 SAMPLE OUTPUT 6 3 2 60 40 30 24

answer:def product_except_self(nums): For a given list of numbers, returns a list where each element is the product of all other elements except the one at the current position. length = len(nums) if length == 0: return [] # Initialize the result array with 1 result = [1] * length # Compute the prefix product for each element prefix = 1 for i in range(length): result[i] = prefix prefix *= nums[i] # Compute the suffix product for each element and multiply with the prefix product stored in the result array suffix = 1 for i in range(length - 1, -1, -1): result[i] *= suffix suffix *= nums[i] return result def process_test_cases(test_cases): Processes multiple test cases and returns the computed product lists. results = [] for case in test_cases: nums = case results.append(product_except_self(nums)) return results

question:John has recently started playing a card game with his friends. The game involves a deck of N unique cards, each card having a distinct integer value between 1 and N. The rules of the game require John to select any contiguous sequence of cards from the deck and sum their values. If the sum of the sequence is equal to a given integer K, John wins the game. Your task is to help John find if there exists such a contiguous sequence of cards whose sum is exactly K. If such a sequence exists, output "YES". Otherwise, output "NO". Input: The first line contains two integers N and K. The second line contains N space-separated integers representing the value of each card in the deck. Output: Output "YES" if there exists a contiguous sequence of cards that sum up to K. Otherwise, output "NO". Constraints: 1 ≤ N ≤ 1000 1 ≤ each card value ≤ 1000 1 ≤ K ≤ 1000000 SAMPLE INPUT 5 15 1 2 3 4 5 SAMPLE OUTPUT YES Explanation: The contiguous sequence [4, 5, 6] sums up to 15. Here there is a mistake the contiguous sequence [4, 5, 6] sums up to 15 should be replaced by contiguous sequence [4, 5, 6] sums up to 15 should be replaced by contiguous sequence [0, 1, 2, 3, 4] sums up to 15.

answer:def is_sum_k_present(N, K, cards): Returns "YES" if there exists a contiguous sequence of cards that sums up to K, otherwise "NO". current_sum = 0 start = 0 for end in range(N): current_sum += cards[end] while current_sum > K and start <= end: current_sum -= cards[start] start += 1 if current_sum == K: return "YES" return "NO"

question:You are working on a project where you need to manage time intervals and determine if there are any overlaps between them. Given multiple time intervals, your task is to write a program that finds the number of conflicting intervals. Each interval is represented by a pair of integers [start, end) where 'start' is the starting time (inclusive) and 'end' is the ending time (exclusive). Two intervals [a, b) and [c, d) are said to be overlapping if and only if there exists some time t such that a <= t < b and c <= t < d. -----Input----- The first line contains an integer n (1 <= n <= 10^5) — the number of intervals. Each of the next n lines contains two integers start and end (0 <= start < end <= 10^9) — the starting and ending times of the interval. -----Output----- Print one integer — the number of conflicting intervals. -----Examples----- Input 3 1 3 2 5 4 6 Output 2 Input 4 1 2 3 4 5 6 7 8 Output 0 -----Note----- In the first example, interval [1, 3) overlaps with [2, 5), and [2, 5) overlaps with [4, 6). Therefore, there are 2 conflicting intervals in total. In the second example, none of the intervals overlap, so there are 0 conflicting intervals.

answer:def count_conflicting_intervals(intervals): Returns the number of conflicting intervals. # Sort intervals based on the start time intervals.sort(key=lambda x: x[0]) conflicts = 0 end_time = intervals[0][1] for start, end in intervals[1:]: if start < end_time: conflicts += 1 end_time = max(end_time, end) return conflicts def process_input(n, intervals_data): Processes the input to be in the required format and returns the count of conflicting intervals. intervals = [] for data in intervals_data: start, end = map(int, data.split()) intervals.append((start, end)) return count_conflicting_intervals(intervals)