diff --git a/problems/0509.斐波那契数.md b/problems/0509.斐波那契数.md index 1d17784d..7c899195 100644 --- a/problems/0509.斐波那契数.md +++ b/problems/0509.斐波那契数.md @@ -234,6 +234,7 @@ func fib(n int) int { } ``` ### Javascript +解法一 ```Javascript var fib = function(n) { let dp = [0, 1] @@ -244,6 +245,23 @@ var fib = function(n) { return dp[n] }; ``` +解法二:时间复杂度O(N),空间复杂度O(1) +```Javascript +var fib = function(n) { + // 动规状态转移中,当前结果只依赖前两个元素的结果,所以只要两个变量代替dp数组记录状态过程。将空间复杂度降到O(1) + let pre1 = 1 + let pre2 = 0 + let temp + if (n === 0) return 0 + if (n === 1) return 1 + for(let i = 2; i <= n; i++) { + temp = pre1 + pre1 = pre1 + pre2 + pre2 = temp + } + return pre1 +}; +``` TypeScript