Freaks City

Problem Description: There are n teams numbered from 0 to n - 1 in a tournament. You are given a 0-indexed 2D boolean matrix grid of size n * n. For all i, j such that 0 <= i, j <= n - 1 and i != j, if grid[i][j] == 1, then team i is stronger than team j; otherwise, team j is stronger than team i. If there is no team that is stronger than ...

Fabric.js provides viewport manipulation capabilities through the viewportTransform property, allowing developers to control how the entire canvas appears to users. The viewportTransform property leverages native canvas transformation functionality, essentially wrapping the canvas 2D API's transform() method. According to the official documenta ...

In a binary matrix of size m x n, a subset of rows is considered "good" if, for every column, the sum of the elements in that column does not exceed half the size of the subset. Formally, if the subset conntains k rows, the sum of each column must be less than or equal to floor(k / 2). The goal is to return the indices of such a subse ...

Problem Statement Given an n×m integer matrix and q queries, each query specifies the coordinates of the top-left and bottom-right corners of a submatrix. For each query, compute the sum of all elements within the specified submatrix. Solution Approach The problem can be efficiently solved using 2D prefix sums. By precomputing the cumulative su ...

Problem Analysis The spiral matrix traversal problem requires printing matrix elements in a clockwise spiral pattern, starting from the top-left corner and moving inward layer by layer. The traversal follows a consistent pattern: move right along the top edge, then down the right edge, then left along the bottom edge, and finally up the left ed ...

Problem Statement Given an n × n 2D matrix representing an image, rotate the image clockwise by 90 degrees. The rotation must be performed in-place without using an auxiliary matrix. Algorithm Approach The clockwise rotation can be achieved through two sequential operations: Transpose along the main diagonal — swap rows and columns Mirror each ...

Problem Description Given an array of n positive integers and a positive integer target, find the length of the shortest continuous subarray whose sum is at least target. Return the length of this subarray. If no such subarray exists, return 0. Example 1: Input: target = 7, nums = [2,3,1,2,4,3] Output: 2 Explanation: The subarray [4,3] has the ...

Squares of a Sorted Array (LeetCode 977) The challenge in squaring a sorted array that contaisn negative numbers is that the largest squares can appear at both ends of the array. While a naive solution involves squaring every element and then sorting the array in $O(n \log n)$ time, a more efficient $O(n)$ approach utilizes the two-pointer tech ...

Exercise 1: Array Memory Layout This program demonstrates memory allocation patterns for one-dimensional and two-dimensional arrays: #include <stdio.h> #define ROWS 4 #define COLS 2 void show_1d_layout() { int vector[ROWS] = { 10, 20, 30, 40 }; printf("Vector size: %d bytes\n", sizeof(vector)); for (int i = 0; ...

Given an m x n matrix, if an element is zero, set its entire row and column to zero. The challenge is to perform this modification in place without using extra matrix storage. The key idea: use the first row and first column as flag storage to record which rows and columns need zeroing, then apply the changes in a final pass. Algorithm Outline ...