This commit is contained in:
youngyangyang04
2021-07-13 16:32:25 +08:00
15 changed files with 379 additions and 51 deletions

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@ -5,6 +5,7 @@
<a href="https://mp.weixin.qq.com/s/QVF6upVMSbgvZy8lHZS3CQ"><img src="https://img.shields.io/badge/知识星球-代码随想录-blue" alt=""></a>
</p>
<p align="center"><strong>欢迎大家<a href="https://mp.weixin.qq.com/s/tqCxrMEU-ajQumL1i8im9A">参与本项目</a>,贡献其他语言版本的代码,拥抱开源,让更多学习算法的小伙伴们收益!</strong></p>
# 排列问题(二)
## 47.全排列 II
@ -222,6 +223,43 @@ class Solution:
return res
```
Go
```go
var res [][]int
func permute(nums []int) [][]int {
res = [][]int{}
sort.Ints(nums)
dfs(nums, make([]int, 0), make([]bool, len(nums)))
return res
}
func dfs(nums, path []int, used []bool) {
if len(path) == len(nums) {
res = append(res, append([]int{}, path...))
return
}
m := make(map[int]bool)
for i := 0; i < len(nums); i++ {
// used 从剩余 nums 中选
if used[i] {
continue
}
// m 集合间去重
if _, ok := m[nums[i]]; ok {
continue
}
m[nums[i]] = true
path = append(path, nums[i])
used[i] = true
dfs(nums, path, used)
used[i] = false
path = path[:len(path)-1]
}
}
```
Javascript:
```javascript

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@ -344,7 +344,7 @@ Python
# self.val = val
# self.left = left
# self.right = right
//递归法
# 递归法
class Solution:
def isValidBST(self, root: TreeNode) -> bool:
res = [] //把二叉搜索树按中序遍历写成list
@ -356,6 +356,35 @@ class Solution:
return res
buildalist(root)
return res == sorted(res) and len(set(res)) == len(res) //检查list里的数有没有重复元素以及是否按从小到大排列
# 简单递归法
class Solution:
def isValidBST(self, root: TreeNode) -> bool:
def isBST(root, min_val, max_val):
if not root: return True
if root.val >= max_val or root.val <= min_val:
return False
return isBST(root.left, min_val, root.val) and isBST(root.right, root.val, max_val)
return isBST(root, float("-inf"), float("inf"))
# 迭代-中序遍历
class Solution:
def isValidBST(self, root: TreeNode) -> bool:
stack = []
cur = root
pre = None
while cur or stack:
if cur: # 指针来访问节点,访问到最底层
stack.append(cur)
cur = cur.left
else: # 逐一处理节点
cur = stack.pop()
if pre and cur.val <= pre.val: # 比较当前节点和前节点的值的大小
return False
pre = cur
cur = cur.right
return True
```
Go
```Go

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@ -193,35 +193,49 @@ dp[1] = max(dp[1], dp[0] - prices[i]); 如果dp[1]取dp[1],即保持买入股
Java
```java
class Solution { // 动态规划
// 版本一
class Solution {
public int maxProfit(int[] prices) {
// 可交易次数
int k = 2;
int len = prices.length;
// 边界判断, 题目中 length >= 1, 所以可省去
if (prices.length == 0) return 0;
// [天数][交易次数][是否持有股票]
int[][][] dp = new int[prices.length][k + 1][2];
/*
* 定义 5 种状态:
* 0: 没有操作, 1: 第一次买入, 2: 第一次卖出, 3: 第二次买入, 4: 第二次卖出
*/
int[][] dp = new int[len][5];
dp[0][1] = -prices[0];
// 初始化第二次买入的状态是确保 最后结果是最多两次买卖的最大利润
dp[0][3] = -prices[0];
// badcase
dp[0][0][0] = 0;
dp[0][0][1] = Integer.MIN_VALUE;
dp[0][1][0] = 0;
dp[0][1][1] = -prices[0];
dp[0][2][0] = 0;
dp[0][2][1] = Integer.MIN_VALUE;
for (int i = 1; i < prices.length; i++) {
for (int j = 2; j >= 1; j--) {
// dp公式
dp[i][j][0] = Math.max(dp[i - 1][j][0], dp[i - 1][j][1] + prices[i]);
dp[i][j][1] = Math.max(dp[i - 1][j][1], dp[i - 1][j - 1][0] - prices[i]);
}
for (int i = 1; i < len; i++) {
dp[i][1] = Math.max(dp[i - 1][1], -prices[i]);
dp[i][2] = Math.max(dp[i - 1][2], dp[i][1] + prices[i]);
dp[i][3] = Math.max(dp[i - 1][3], dp[i][2] - prices[i]);
dp[i][4] = Math.max(dp[i - 1][4], dp[i][3] + prices[i]);
}
int res = 0;
for (int i = 1; i < 3; i++) {
res = Math.max(res, dp[prices.length - 1][i][0]);
return dp[len - 1][4];
}
}
// 版本二: 空间优化
class Solution {
public int maxProfit(int[] prices) {
int len = prices.length;
int[] dp = new int[5];
dp[1] = -prices[0];
dp[3] = -prices[0];
for (int i = 1; i < len; i++) {
dp[1] = Math.max(dp[1], dp[0] - prices[i]);
dp[2] = Math.max(dp[2], dp[1] + prices[i]);
dp[3] = Math.max(dp[3], dp[2] - prices[i]);
dp[4] = Math.max(dp[4], dp[3] + prices[i]);
}
return res;
return dp[4];
}
}
```

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@ -291,6 +291,27 @@ func wordBreak(s string,wordDict []string) bool {
}
```
Javascript
```javascript
const wordBreak = (s, wordDict) => {
let dp = Array(s.length + 1).fill(false);
dp[0] = true;
for(let i = 0; i <= s.length; i++){
for(let j = 0; j < wordDict.length; j++) {
if(i >= wordDict[j].length) {
if(s.slice(i - wordDict[j].length, i) === wordDict[j] && dp[i - wordDict[j].length]) {
dp[i] = true
}
}
}
}
return dp[s.length];
}
```
-----------------------

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@ -170,41 +170,54 @@ public:
Java
```java
class Solution { //动态规划
// 版本一: 三维 dp数组
class Solution {
public int maxProfit(int k, int[] prices) {
if (prices == null || prices.length < 2 || k == 0) {
return 0;
if (prices.length == 0) return 0;
// [天数][交易次数][是否持有股票]
int len = prices.length;
int[][][] dp = new int[len][k + 1][2];
// dp数组初始化
// 初始化所有的交易次数是为确保 最后结果是最多 k 次买卖的最大利润
for (int i = 0; i <= k; i++) {
dp[0][i][1] = -prices[0];
}
// [天数][交易次数][是否持有股票]
int[][][] dp = new int[prices.length][k + 1][2];
// bad case
dp[0][0][0] = 0;
dp[0][0][1] = Integer.MIN_VALUE;
dp[0][1][0] = 0;
dp[0][1][1] = -prices[0];
// dp[0][j][0] 都均为0
// dp[0][j][1] 异常值都取Integer.MIN_VALUE;
for (int i = 2; i < k + 1; i++) {
dp[0][i][0] = 0;
dp[0][i][1] = Integer.MIN_VALUE;
}
for (int i = 1; i < prices.length; i++) {
for (int j = k; j >= 1; j--) {
// dp公式
for (int i = 1; i < len; i++) {
for (int j = 1; j <= k; j++) {
// dp方程, 0表示不持有/卖出, 1表示持有/买入
dp[i][j][0] = Math.max(dp[i - 1][j][0], dp[i - 1][j][1] + prices[i]);
dp[i][j][1] = Math.max(dp[i - 1][j][1], dp[i - 1][j - 1][0] - prices[i]);
}
}
return dp[len - 1][k][0];
}
}
int res = 0;
for (int i = 1; i < k + 1; i++) {
res = Math.max(res, dp[prices.length - 1][i][0]);
// 版本二: 空间优化
class Solution {
public int maxProfit(int k, int[] prices) {
if (prices.length == 0) return 0;
// [天数][股票状态]
// 股票状态: 奇数表示第 k 次交易持有/买入, 偶数表示第 k 次交易不持有/卖出, 0 表示没有操作
int len = prices.length;
int[][] dp = new int[len][k*2 + 1];
// dp数组的初始化, 与版本一同理
for (int i = 1; i < k*2; i += 2) {
dp[0][i] = -prices[0];
}
return res;
for (int i = 1; i < len; i++) {
for (int j = 0; j < k*2 - 1; j += 2) {
dp[i][j + 1] = Math.max(dp[i - 1][j + 1], dp[i - 1][j] - prices[i]);
dp[i][j + 2] = Math.max(dp[i - 1][j + 2], dp[i - 1][j + 1] + prices[i]);
}
}
return dp[len - 1][k*2];
}
}
```

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@ -304,6 +304,26 @@ func min(a, b int) int {
```
Javascript
```javascript
const coinChange = (coins, amount) => {
if(!amount) {
return 0;
}
let dp = Array(amount + 1).fill(Infinity);
dp[0] = 0;
for(let i =0; i < coins.length; i++) {
for(let j = coins[i]; j <= amount; j++) {
dp[j] = Math.min(dp[j - coins[i]] + 1, dp[j]);
}
}
return dp[amount] === Infinity ? -1 : dp[amount];
}
```
-----------------------

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@ -201,6 +201,25 @@ func combinationSum4(nums []int, target int) int {
}
```
Javascript
```javascript
const combinationSum4 = (nums, target) => {
let dp = Array(target + 1).fill(0);
dp[0] = 1;
for(let i = 0; i <= target; i++) {
for(let j = 0; j < nums.length; j++) {
if (i >= nums[j]) {
dp[i] += dp[i - nums[j]];
}
}
}
return dp[target];
};
```
-----------------------

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@ -244,6 +244,35 @@ func max(a,b int) int {
}
```
Javascript
```javascript
const findMaxForm = (strs, m, n) => {
const dp = Array.from(Array(m+1), () => Array(n+1).fill(0));
let numOfZeros, numOfOnes;
for(let str of strs) {
numOfZeros = 0;
numOfOnes = 0;
for(let c of str) {
if (c === '0') {
numOfZeros++;
} else {
numOfOnes++;
}
}
for(let i = m; i >= numOfZeros; i--) {
for(let j = n; j >= numOfOnes; j--) {
dp[i][j] = Math.max(dp[i][j], dp[i - numOfZeros][j - numOfOnes] + 1);
}
}
}
return dp[m][n];
};
```
-----------------------

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@ -257,6 +257,34 @@ class Solution:
Go
```golang
func findSubsequences(nums []int) [][]int {
var subRes []int
var res [][]int
backTring(0,nums,subRes,&res)
return res
}
func backTring(startIndex int,nums,subRes []int,res *[][]int){
if len(subRes)>1{
tmp:=make([]int,len(subRes))
copy(tmp,subRes)
*res=append(*res,tmp)
}
history:=[201]int{}//记录本层元素使用记录
for i:=startIndex;i<len(nums);i++{
//分两种情况判断:一,当前取的元素小于子集的最后一个元素,则继续寻找下一个适合的元素
// 或者二,当前取的元素在本层已经出现过了,所以跳过该元素,继续寻找
if len(subRes)>0&&nums[i]<subRes[len(subRes)-1]||history[nums[i] + 100]==1{
continue
}
history[nums[i] + 100]=1//表示本层该元素使用过了
subRes=append(subRes,nums[i])
backTring(i+1,nums,subRes,res)
subRes=subRes[:len(subRes)-1]
}
}
```
Javascript:
```Javascript

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@ -185,3 +185,26 @@ public:
建议大家把情况一二三想清楚了,先写出版本一的代码,然后在其基础上在做精简!
## 其他语言版本
Python
```python3
class Solution:
def nextGreaterElement(self, nums1: List[int], nums2: List[int]) -> List[int]:
result = [-1]*len(nums1)
stack = [0]
for i in range(1,len(nums2)):
# 情况一情况二
if nums2[i]<=nums2[stack[-1]]:
stack.append(i)
# 情况三
else:
while len(stack)!=0 and nums2[i]>nums2[stack[-1]]:
if nums2[stack[-1]] in nums1:
index = nums1.index(nums2[stack[-1]])
result[index]=nums2[i]
stack.pop()
stack.append(i)
return result
```

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@ -243,6 +243,22 @@ func change(amount int, coins []int) int {
}
```
Javascript
```javascript
const change = (amount, coins) => {
let dp = Array(amount + 1).fill(0);
dp[0] = 1;
for(let i =0; i < coins.length; i++) {
for(let j = coins[i]; j <= amount; j++) {
dp[j] += dp[j - coins[i]];
}
}
return dp[amount];
}
```
-----------------------

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@ -222,6 +222,26 @@ class Solution:
for i in range(len(res)-1): // 统计有序数组的最小差值
r = min(abs(res[i]-res[i+1]),r)
return r
# 迭代法-中序遍历
class Solution:
def getMinimumDifference(self, root: TreeNode) -> int:
stack = []
cur = root
pre = None
result = float('inf')
while cur or stack:
if cur: # 指针来访问节点,访问到最底层
stack.append(cur)
cur = cur.left
else: # 逐一处理节点
cur = stack.pop()
if pre: # 当前节点和前节点的值的差值
result = min(result, cur.val - pre.val)
pre = cur
cur = cur.right
return result
```
Go
> 中序遍历,然后计算最小差值

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@ -211,7 +211,24 @@ Java
}
```
Python
``` Python3
class Solution:
def dailyTemperatures(self, temperatures: List[int]) -> List[int]:
answer = [0]*len(temperatures)
stack = [0]
for i in range(1,len(temperatures)):
# 情况一和情况二
if temperatures[i]<=temperatures[stack[-1]]:
stack.append(i)
# 情况三
else:
while len(stack) != 0 and temperatures[i]>temperatures[stack[-1]]:
answer[stack[-1]]=i-stack[-1]
stack.pop()
stack.append(i)
return answer
```
Go
> 暴力法

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@ -8,6 +8,8 @@
## 1143.最长公共子序列
题目链接: https://leetcode-cn.com/problems/longest-common-subsequence/
给定两个字符串 text1 和 text2返回这两个字符串的最长公共子序列的长度。
一个字符串的 子序列 是指这样一个新的字符串:它是由原字符串在不改变字符的相对顺序的情况下删除某些字符(也可以不删除任何字符)后组成的新字符串。

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@ -176,9 +176,48 @@ int main() {
## 其他语言版本
Java
```java
//先遍历物品,再遍历背包
private static void testCompletePack(){
int[] weight = {1, 3, 4};
int[] value = {15, 20, 30};
int bagWeight = 4;
int[] dp = new int[bagWeight + 1];
for (int i = 0; i < weight.length; i++){
for (int j = 1; j <= bagWeight; j++){
if (j - weight[i] >= 0){
dp[j] = Math.max(dp[j], dp[j - weight[i]] + value[i]);
}
}
}
for (int maxValue : dp){
System.out.println(maxValue + " ");
}
}
//先遍历背包,再遍历物品
private static void testCompletePackAnotherWay(){
int[] weight = {1, 3, 4};
int[] value = {15, 20, 30};
int bagWeight = 4;
int[] dp = new int[bagWeight + 1];
for (int i = 1; i <= bagWeight; i++){
for (int j = 0; j < weight.length; j++){
if (i - weight[j] >= 0){
dp[i] = Math.max(dp[i], dp[i - weight[j]] + value[j]);
}
}
}
for (int maxValue : dp){
System.out.println(maxValue + " ");
}
}
```
Python
```python3