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按照最后是跨一步还是两步可以将到达第n步的所有情况分为两种:
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* 1、从第n-2步阶梯一下跨两步到第n步阶梯;
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* 2、从第n-1步阶梯跨一步到第n步阶梯;
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即若dp[i]代表跨到第i步阶梯的情况数,那么`dp[i] = dp[i - 1] + dp[i - 2]`。
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即若dp[i]代表跨到第i步阶梯的情况数,那么`dp[i] = dp[i - 1] + dp[i - 2]`,所以这其实就是斐波那契数列,见[509. Fibonacci Number](https://leetcode.com/problems/fibonacci-number/)。
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时间复杂度和空间复杂度都为O(n),可将空间复杂度优化为O(1)
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还有一个复杂度为O(logN)求斐波那契数列的思路,详见[509题解](509.%20Fibonacci%20Number.md)。
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# C++
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``` C++
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class Solution {
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