摘要：Share interests, spread happiness, increase knowledge, and leave a good future!
分享兴趣，传播快乐，增长见闻，留下美好！
亲爱的您
这里是LearningYard新学苑。
今天小编为您带来
Java实战中的青蛙跳台阶问题
欢迎您的访问！
Share interests, spread happiness, increase knowledge, and leave a good future!
Dear you,
this is LearningYard Academy
Today I bring you this
The frog on the stairs problem in Java practice
Welcome to visit!
青蛙跳台阶问题是经典的动态规划问题，通常被用来练习递推关系和动态规划的思维方式。
The frog on the stairs problem is a classic dynamic programming problem that is often used to practice recursive relationships and dynamic programming thinking.
1.问题描述
1. Problem description
一只青蛙要跳上一个有n阶台阶的楼梯，每次它可以跳1阶或2阶。请问，青蛙跳上n阶台阶的跳法有多少种？
A frog wants to jump up a staircase with n steps, each time it can jump 1 step or 2 steps. How many ways can the frog jump up n steps?
2.思路
2. Ideas
这个问题可以通过动态规划的思想来解决。假设dp[i]表示跳上第i阶台阶的跳法数。那么，青蛙跳上第i阶台阶的跳法可以由以下两种方式得到：
This problem can be solved by the idea of dynamic programming. Suppose dp[i] represents the number of ways to jump on the i-th step. Then, the frog can jump on the i-th step in one of two ways:
青蛙从第i-1阶跳到第i阶，即它已经跳到了i-1阶，然后再跳1阶。
The frog jumps from the i-1 step to the i step, that is, it has already jumped to the i-1 step and then one more step.
青蛙从第i-2阶跳到第i阶，即它已经跳到了i-2阶，然后再跳2阶。
The frog jumps from the i-2 step to the i step, that is, it has already jumped to the i-2 step and then jumps two more steps.
因此，状态转移方程为：dp[i] = dp[i-1] + dp[i-2]
Therefore, the state transition equation is: dp[i] = dp[i-1] + dp[i-2]
3.代码实现
3. Code implementation
以下是Java语言的实现：
The following is the implementation of Java language:
public class FrogJump {
public static int numWays(int n) {
if (n == 0) {
return 1; // 没有台阶，只有一种方式，即不跳
}
if (n == 1) {
return 1; // 只有一阶台阶，只有一种跳法
}
int dp = new int[n + 1];
dp[0] = 1; // 地面
dp[1] = 1; // 第1阶台阶
for (int i = 2; i
dp[i] = dp[i - 1] + dp[i - 2]; // 从i-1阶和i-2阶跳上来
}
return dp[n]; // 返回跳上n阶台阶的跳法数
}
public static void main(String args) {
int n = 5; // 举例
System.out.println("青蛙跳上" + n + "阶台阶的跳法数为: " + numWays(n));
}
}
今天的分享就到这里了，
如果您对文章有独特的想法，
欢迎给我们留言。
让我们相约明天，
祝您今天过得开心快乐!
That’s all for today’s sharing.
Ifyou have a unique idea about the article,
pleaseleave us a message,
andlet us meet tomorrow.
Iwish you a nice day!
本文由learningyard新学苑原创，如有侵权，请联系我们！
翻译来源于百度翻译
部分来源于百度文库
来源：牛人科技说
