unique-paths
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A robot is located at the top-left corner of a m x n grid (marked 'Start' in the diagram below).The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked 'Finish' in the diagram below).How many possible unique paths are there?Above is a 3 x 7 grid. How many possible unique paths are there?Note: m and n will be at most 100.
public int uniquePaths(int m, int n) { if(m < 1 || n <1) return 0; int[][] res = new int[m][n]; int i, j; for(i = 0; i < m; i++) res[i][0] = 1; for(i = 0; i < n; i++) res[0][i] = 1; for(i = 1; i < m; i++){ for(j = 1; j < n; j++){ res[i][j] = res[i - 1][j] + res[i][j - 1]; } } return res[m - 1][n - 1]; }
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