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36 lines
786 B
36 lines
786 B
// File: climbing_stairs_dp.go
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// Created Time: 2023-07-18
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// Author: Reanon (793584285@qq.com)
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package chapter_dynamic_programming
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/* 爬樓梯：動態規劃 */
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func climbingStairsDP(n int) int {
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if n == 1 || n == 2 {
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return n
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}
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// 初始化 dp 表，用於儲存子問題的解
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dp := make([]int, n+1)
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// 初始狀態：預設最小子問題的解
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dp[1] = 1
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dp[2] = 2
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// 狀態轉移：從較小子問題逐步求解較大子問題
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for i := 3; i <= n; i++ {
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dp[i] = dp[i-1] + dp[i-2]
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}
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return dp[n]
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}
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/* 爬樓梯：空間最佳化後的動態規劃 */
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func climbingStairsDPComp(n int) int {
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if n == 1 || n == 2 {
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return n
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}
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a, b := 1, 2
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// 狀態轉移：從較小子問題逐步求解較大子問題
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for i := 3; i <= n; i++ {
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a, b = b, a+b
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}
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return b
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}
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