From 653d645dabd54c9b2d94afc27dc3cb308f82b519 Mon Sep 17 00:00:00 2001 From: Younglesszzz <571688981@qq.com> Date: Sat, 29 Jan 2022 13:29:28 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=BA=86=E4=BA=8C=E7=BB=B4?= =?UTF-8?q?=E6=95=B0=E7=BB=84=E7=89=88=E6=9C=AC=EF=BC=8C=E7=9B=B8=E6=AF=94?= =?UTF-8?q?=E4=BA=8E=E4=B8=80=E7=BB=B4=E5=A5=BD=E7=90=86=E8=A7=A3?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../1049.最后一块石头的重量II.md | 37 +++++++++++++++++++ 1 file changed, 37 insertions(+) diff --git a/problems/1049.最后一块石头的重量II.md b/problems/1049.最后一块石头的重量II.md index d64e7e56..7b67b1ac 100644 --- a/problems/1049.最后一块石头的重量II.md +++ b/problems/1049.最后一块石头的重量II.md @@ -153,6 +153,8 @@ public: Java: + +一维数组版本 ```Java class Solution { public int lastStoneWeightII(int[] stones) { @@ -173,6 +175,41 @@ class Solution { return sum - 2 * dp[target]; } } +``` +二维数组版本(便于理解) +```Java +class Solution { + public int lastStoneWeightII(int[] stones) { + int sum = 0; + for (int s : stones) { + sum += s; + } + + int target = sum / 2; + //初始化,dp[i][j]为可以放0-i物品,背包容量为j的情况下背包中的最大价值 + int[][] dp = new int[stones.length][target + 1]; + //dp[i][0]默认初始化为0 + //dp[0][j]取决于stones[0] + for (int j = stones[0]; j <= target; j++) { + dp[0][j] = stones[0]; + } + + for (int i = 1; i < stones.length; i++) { + for (int j = 1; j <= target; j++) {//注意是等于 + if (j >= stones[i]) { + //不放:dp[i - 1][j] 放:dp[i - 1][j - stones[i]] + stones[i] + dp[i][j] = Math.max(dp[i - 1][j], dp[i - 1][j - stones[i]] + stones[i]); + } else { + dp[i][j] = dp[i - 1][j]; + } + } + } + + System.out.println(dp[stones.length - 1][target]); + return (sum - dp[stones.length - 1][target]) - dp[stones.length - 1][target]; + } +} + ``` Python: