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Unique Paths

题目:

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?

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我的解法:

(1)算法思想:

根据m,n值,设一个矩阵matrix[m-1][n-1],矩阵最上面一行和最左边一列的值都为1,其他位置元素的值等于相邻左边元素的值加上上边元素的值。这样,右下角元素的值就是可能有的路径数。

(2)代码如下:

<script src="https://code.csdn.net/snippets/592710.js" type="text/javascript"></script>


Unique Paths