From aa4ce0f096013a20847b4b7c325a22fbe26e6deb Mon Sep 17 00:00:00 2001 From: ironartisan Date: Thu, 19 Aug 2021 15:03:44 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A00279.=E5=AE=8C=E5=85=A8?= =?UTF-8?q?=E5=B9=B3=E6=96=B9=E6=95=B0java=E7=89=88=E6=9C=AC=E4=BA=8C?= =?UTF-8?q?=E8=A7=A3=E6=B3=95?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- problems/0279.完全平方数.md | 27 ++++++++++++++++++++++++++- 1 file changed, 26 insertions(+), 1 deletion(-) diff --git a/problems/0279.完全平方数.md b/problems/0279.完全平方数.md index 863bd60c..f23453da 100644 --- a/problems/0279.完全平方数.md +++ b/problems/0279.完全平方数.md @@ -161,6 +161,7 @@ public: Java: ```Java class Solution { + // 版本一,先遍历物品, 再遍历背包 public int numSquares(int n) { int max = Integer.MAX_VALUE; int[] dp = new int[n + 1]; @@ -170,7 +171,9 @@ class Solution { } //当和为0时,组合的个数为0 dp[0] = 0; + // 遍历物品 for (int i = 1; i * i <= n; i++) { + // 遍历背包 for (int j = i * i; j <= n; j++) { if (dp[j - i * i] != max) { dp[j] = Math.min(dp[j], dp[j - i * i] + 1); @@ -180,6 +183,28 @@ class Solution { return dp[n]; } } + +class Solution { + // 版本二, 先遍历背包, 再遍历物品 + public int numSquares(int n) { + int max = Integer.MAX_VALUE; + int[] dp = new int[n + 1]; + // 初始化 + for (int j = 0; j <= n; j++) { + dp[j] = max; + } + // 当和为0时,组合的个数为0 + dp[0] = 0; + // 遍历背包 + for (int j = 1; j <= n; j++) { + // 遍历物品 + for (int i = 1; i * i <= j; i++) { + dp[j] = Math.min(dp[j], dp[j - i * i] + 1); + } + } + return dp[n]; + } +} ``` Python: @@ -187,7 +212,7 @@ Python: ```python3 class Solution: def numSquares(self, n: int) -> int: - '''版本一''' + '''版本一,先遍历背包, 再遍历物品''' # 初始化 nums = [i**2 for i in range(1, n + 1) if i**2 <= n] dp = [10**4]*(n + 1)