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?
Solution:DP
Ways to destination point is equal to ways to up neighbor of destination point and left neighbor of destination point
then we can generalize
ways[m][n]=ways[m-1][n] + ways[m][n-1]
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