TopCoder

807
$\huge\boxed{學長對不起}$

User's AC Ratio

88.0% (22/25)

Submission's AC Ratio

45.8% (38/83)

Tags

Description

給你一個 $N \times M$ 的棋盤

令左上角為 $(1,1)$ ,右下角為 $(N,M)$

如果從 $(1,1)$ 開始,只能往右或往下走

試問有幾種相異的走法可以走到 $(N,M)$

請將答案模 $10^9 + 7$ 輸出

Input Format

$N$ $M$

$1 \leq N,M \leq 2000$

Output Format

輸出一非負整數

Sample Input 1

2 2

Sample Output 1

2

Sample Input 2

2 3

Sample Output 2

3

Hints

image.png

範例測資2的圖形有以上三種走法

Problem Source

經典題 Path on Grid

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Memory Limit (RSS, KiB) Output Limit (KiB) Subtasks
0 1000 250000 250000 65536
1 1000 250000 250000 65536
2 1000 250000 250000 65536
3 1000 250000 250000 65536
4 1000 250000 250000 65536
5 1000 250000 250000 65536
6 1000 250000 250000 65536