Add kotlin code for dynamic programming (#1099)

* feat(kotlin): add kotlin code for dynamic programming. * Update knapsack.kt
2026-09-01 20:57:13 +00:00 · 2024-03-03 15:14:26 +08:00
parent 1db04577b5
commit 5c1f43fefd
12 changed files with 877 additions and 0 deletions
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+/**
+ * File: climbing_stairs_dp.kt
+ * Created Time: 2024-01-25
+ * Author: curtishd (1023632660@qq.com)
+ */
+
+package chapter_dynamic_programming
+
+/* 爬楼梯：动态规划 */
+fun climbingStairsDP(n: Int): Int {
+    if (n == 1 || n == 2) return n
+    // 初始化 dp 表，用于存储子问题的解
+    val dp = IntArray(n + 1)
+    // 初始状态：预设最小子问题的解
+    dp[1] = 1
+    dp[2] = 2
+    // 状态转移：从较小子问题逐步求解较大子问题
+    for (i in 3..n) {
+        dp[i] = dp[i - 1] + dp[i - 2]
+    }
+    return dp[n]
+}
+
+/* 爬楼梯：空间优化后的动态规划 */
+fun climbingStairsDPComp(n: Int): Int {
+    if (n == 1 || n == 2) return n
+    var a = 1
+    var b = 2
+    for (i in 3..n) {
+        val tmp = b
+        b += a
+        a = tmp
+    }
+    return b
+}
+
+/* Driver Code */
+fun main() {
+    val n = 9
+
+    var res = climbingStairsDP(n)
+    println("爬 $n 阶楼梯共有 $res 种方案")
+
+    res = climbingStairsDPComp(n)
+    println("爬 $n 阶楼梯共有 $res 种方案")
+}