"Leetcode-Interview algorithm classic-java Implementation" "062-unique Paths (unique path)"

"062-unique Paths (unique path)" "leetcode-Interview algorithm classic-java Implementation" "All topics Directory Index" Original Question

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 is there?
　　
Above is a 3 x 7 grid. How many possible unique paths is there?
　　Note: m and N would be is at most 100.

Main Topic

A robot is in the upper left corner of a m*n square.
The robot can only go to the right or down one square, the robot to reach the lower right corner of the grid.
Please tell me how many unique paths there are.
　　Note:m and n do not exceed 100.

Thinking of solving problems

A typical dynamic programming problem is solved by using the dynamic programming method of the problem.
Save the result with a m*n of group A.
For elements in a array, there are.
1, when x=0 or y=0 when there is a[x][y] = 1;
2, when X>=1 and y>=1 a[\x][\y] = a[x-1][y]+a[\x][y-1].
3. The knot to be asked is a[m-1][n-1].

Code Implementation

Algorithm implementation class

 Public classSolution { Public int uniquepaths(intMintN) {int[[] result =New int[M] [n];//The solution of the first column         for(inti =0; I < m; i++) {result[i][0] =1; }//solution of the first line         for(inti =1; I < n; i++) {result[0][i] =1; }//Other location of the solution         for(inti =1; I < m; i++) { for(intj =1; J < N; J + +) {Result[i][j] = result[i-1][J] + result[i][j-1]; }        }//The solution to be asked        returnResult[m-1][n-1]; }}

Evaluation Results

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"Leetcode-Interview algorithm classic-java Implementation" "062-unique Paths (unique path)"