QOJ.ac

QOJ

时间限制: 1 s 内存限制: 256 MB 总分: 100

#7824. 青蛙

统计

有 $N$ 片荷叶排成一行,每片荷叶间距为 1 米,并从 1 到 $N$ 编号。一只青蛙初始位于编号为 1 的荷叶上。青蛙每次可以向前或向后跳跃到距离不超过 $K$ 米的任意荷叶上。当青蛙离开某片荷叶时,该荷叶会沉入水中,之后无法再跳到该荷叶上。请问青蛙有多少种方式可以移动到编号为 $N$ 的荷叶上?

输入格式

输入仅一行,包含两个由空格分隔的自然数 $N$ 和 $K$,其中 $N$ 为荷叶数量,$2 \le N \le 18$,$K$ 为最大跳跃距离,$1 \le K < N$。

输出格式

输出一个正整数,表示青蛙从荷叶 1 移动到荷叶 $N$ 的方案数。

样例

样例输入 1

3 2

样例输出 1

2

样例输入 2

4 2

样例输出 2

4

Discussions

About Discussions

The discussion section is only for posting: General Discussions (problem-solving strategies, alternative approaches), and Off-topic conversations.

This is NOT for reporting issues! If you want to report bugs or errors, please use the Issues section below.

Open Discussions 0
No discussions in this category.

Issues

About Issues

If you find any issues with the problem (statement, scoring, time/memory limits, test cases, etc.), you may submit an issue here. A problem moderator will review your issue.

Guidelines:

  1. This is not a place to publish discussions, editorials, or requests to debug your code. Issues are only visible to you and problem moderators.
  2. Do not submit duplicated issues.
  3. Issues must be filed in English or Chinese only.
Active Issues 0
No issues in this category.
Closed/Resolved Issues 0
No issues in this category.