From 2db2c097bcc3819dbcc3a794bbedeafaf3b9007e Mon Sep 17 00:00:00 2001 From: CyC2018 <1029579233@qq.com> Date: Tue, 5 Mar 2019 17:28:49 +0800 Subject: [PATCH] auto commit --- docs/notes/Leetcode 题解.md | 44 +++++++++++++++++++++---------------- 1 file changed, 25 insertions(+), 19 deletions(-) diff --git a/docs/notes/Leetcode 题解.md b/docs/notes/Leetcode 题解.md index 87a6e4ff..f36e2b26 100644 --- a/docs/notes/Leetcode 题解.md +++ b/docs/notes/Leetcode 题解.md @@ -3199,31 +3199,34 @@ return -1. - 物品大小:面额 - 物品价值:数量 -因为硬币可以重复使用,因此这是一个完全背包问题。完全背包只需要将01背包中逆序遍历bp数组改为正序遍历即可。 +因为硬币可以重复使用,因此这是一个完全背包问题。完全背包只需要将 0-1 背包中逆序遍历 dp 数组改为正序遍历即可。 ```java public int coinChange(int[] coins, int amount) { - if(amount == 0) return 0; - int[] bp = new int[amount + 1]; - for(int coin : coins){ - for(int i = coin; i <= amount; i++){ //将逆序遍历改为正序遍历 - if(i == coin) - bp[i] = 1; - else if(bp[i] == 0 && bp[i - coin] != 0) - bp[i] = bp[i - coin] + 1; - else if(bp[i - coin] != 0) - bp[i] = Math.min(bp[i], bp[i - coin] + 1); + if (amount == 0 || coins == null || coins.length == 0) { + return 0; + } + int[] dp = new int[amount + 1]; + for (int coin : coins) { + for (int i = coin; i <= amount; i++) { //将逆序遍历改为正序遍历 + if (i == coin) { + dp[i] = 1; + } else if (dp[i] == 0 && dp[i - coin] != 0) { + dp[i] = dp[i - coin] + 1; + } else if (dp[i - coin] != 0) { + dp[i] = Math.min(dp[i], dp[i - coin] + 1); + } } } - return bp[amount] == 0 ? -1 : bp[amount]; + return dp[amount] == 0 ? -1 : dp[amount]; } ``` **找零钱的硬币数组合** -[518. Coin Change 2 (Medium)](https://leetcode.com/problems/coin-change-2/description/) +[518\. Coin Change 2 (Medium)](https://leetcode.com/problems/coin-change-2/description/) -```html +```text-html-basic Input: amount = 5, coins = [1, 2, 5] Output: 4 Explanation: there are four ways to make up the amount: @@ -3233,14 +3236,17 @@ Explanation: there are four ways to make up the amount: 5=1+1+1+1+1 ``` -完全背包问题,使用dp记录可达成目标的组合数目。 +完全背包问题,使用 dp 记录可达成目标的组合数目。 ```java public int change(int amount, int[] coins) { + if (amount == 0 || coins == null || coins.length == 0) { + return 0; + } int[] dp = new int[amount + 1]; dp[0] = 1; - for(int coin : coins){ - for(int i = coin; i <= amount; i++){ + for (int coin : coins) { + for (int i = coin; i <= amount; i++) { dp[i] += dp[i - coin]; } } @@ -3260,7 +3266,7 @@ Return true because "leetcode" can be segmented as "leet code". dict 中的单词没有使用次数的限制,因此这是一个完全背包问题。该问题涉及到字典中单词的使用顺序,因此可理解为涉及顺序的完全背包问题。 -求解该类型问题时,应调整两次循环的顺序,0-1 背包对物品的迭代是在最外层,而涉及顺序的完全背包问题对物品的迭代是在最里层。 +求解顺序的完全背包问题时,对物品的迭代应该放在最里层。 ```java public boolean wordBreak(String s, List wordDict) { @@ -3268,7 +3274,7 @@ public boolean wordBreak(String s, List wordDict) { boolean[] dp = new boolean[n + 1]; dp[0] = true; for (int i = 1; i <= n; i++) { - for (String word : wordDict) { // 完全一个物品可以使用多次 + for (String word : wordDict) { // 对物品的迭代应该放在最里层 int len = word.length(); if (len <= i && word.equals(s.substring(i - len, i))) { dp[i] = dp[i] || dp[i - len];