LeetCode.青蛙跳台阶(Java)

一只青蛙一次可以跳上1级台阶,也可以跳上2级台阶。求该青蛙跳上一个 n 级的台阶总共有多少种跳法。
答案需要取模 1e9+7(1000000007),如计算初始结果为:1000000008,请
返回 1。

写法一:递归

 public int numWays(int n) {
    
    
	if (n <= 1) {
    
    
			return 1;
		}
		int[] dp = new int[n];
		dp[0] = 1;
		dp[1] = 2;
		for (int i = 2; i < n; i++) {
    
    
			dp[i] = dp[i - 1] + dp[i - 2];
			dp[i] %= 1000000007;
		}
		// 返回最后一个下标对应的数==dp[dp.length-1];
		return dp[dp.length - 1];
	}

写法二:迭代的做法:


	static public int numWays2(int n) {
    
    
		if (n <= 1) {
    
    
			return 1;
		}
		int a = 1, b = 2;
		for (int i = 3; i <= n; i++) {
    
    
			int sum = (a + b) % 1000000007;
			a = b;
			b = sum;
		}
		return b;
	}

	static public int numWays3(int n) {
    
    
		int a = 1, b = 1, sum = 0;
		for (int i = 0; i < n; i++) {
    
    
			sum = (a + b) % 1000000007;
			a = b;
			b = sum;
		}
		return a;
	}
}

end.

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转载自blog.csdn.net/weixin_44998686/article/details/108900683