目录


31. 下一个排列 Next Permutation

整数数组的一个 排列  就是将其所有成员以序列或线性顺序排列。

arr = [1,2,3]arr[1,2,3][1,3,2][3,1,2][2,3,1]

整数数组的 下一个排列 是指其整数的下一个字典序更大的排列。更正式地,如果数组的所有排列根据其字典顺序从小到大排列在一个容器中,那么数组的 下一个排列 就是在这个有序容器中排在它后面的那个排列。如果不存在下一个更大的排列,那么这个数组必须重排为字典序最小的排列(即,其元素按升序排列)。

arr = [1,2,3][1,3,2]arr = [2,3,1][3,1,2]arr = [3,2,1][1,2,3][3,2,1]
numsnums

必须 原地 修改,只允许使用额外常数空间。

示例 1:

输入:nums = [1,2,3]
输出:[1,3,2]

示例 2:

输入:nums = [3,2,1]
输出:[1,2,3]

示例 3:

输入:nums = [1,1,5]
输出:[1,5,1]

提示:

1 <= nums.length <= 1000 <= nums[i] <= 100

代码:

package main

import "fmt"

func nextPermutation(nums []int) {
	n := len(nums)
	i := n - 2
	for i >= 0 && nums[i] >= nums[i+1] {
		i--
	}
	if i >= 0 {
		j := n - 1
		for j >= 0 && nums[i] >= nums[j] {
			j--
		}
		nums[i], nums[j] = nums[j], nums[i]
	}
	reverse(nums[i+1:])
}

func reverse(nums []int) {
	n := len(nums)
	for i := 0; i < n/2; i++ {
		nums[i], nums[n-i-1] = nums[n-i-1], nums[i]
	}
}

func main() {

	nums := []int{1, 2, 3}
	nextPermutation(nums)
	fmt.Println(nums)

	nums = []int{3, 2, 1}
	nextPermutation(nums)
	fmt.Println(nums)

	nums = []int{1, 1, 5}
	nextPermutation(nums)
	fmt.Println(nums)

}

输出:

[1 3 2]
[1 2 3]
[1 5 1]


32. 最长有效括号 Longest Valid Parentheses

'('')'

示例 1:

输入:s = "(()"
输出:2
解释:最长有效括号子串是 "()"

示例 2:

输入:s = ")()())"
输出:4
解释:最长有效括号子串是 "()()"

示例 3:

输入:s = ""
输出:0

提示:

0 <= s.length <= 3 * 10^4s[i]'('')'

代码:

package main

import "fmt"

func longestValidParentheses(s string) int {
	maxLen := 0
	n := len(s)
	if n == 0 {
		return 0
	}
	dp := make([]int, n)
	for i := 1; i < n; i++ {
		if s[i] == ')' {
			if s[i-1] == '(' {
				if i-2 >= 0 {
					dp[i] = dp[i-2] + 2
				} else {
					dp[i] = 2
				}
			} else if i-dp[i-1]-1 >= 0 && s[i-dp[i-1]-1] == '(' {
				if i-dp[i-1]-2 >= 0 {
					dp[i] = dp[i-1] + dp[i-dp[i-1]-2] + 2
				} else {
					dp[i] = dp[i-1] + 2
				}
			}
			maxLen = max(maxLen, dp[i])
		}
	}
	return maxLen
}
func max(a, b int) int {
	if a > b {
		return a
	}
	return b
}

func main() {

	s := "(()"
	fmt.Println(longestValidParentheses(s))

	s = ")()())"
	fmt.Println(longestValidParentheses(s))

	s = ""
	fmt.Println(longestValidParentheses(s))

}

输出:

2
4


33. 搜索旋转排序数组 Search-in-rotated-sorted-array

nums
numsk0 <= k < nums.length[nums[k], nums[k+1], ..., nums[n-1], nums[0], nums[1], ..., nums[k-1]][0,1,2,4,5,6,7]3[4,5,6,7,0,1,2]
numstargetnumstarget-1

示例 1:

输入:nums = [4,5,6,7,0,1,2], target = 0
输出:4

示例 2:

输入:nums = [4,5,6,7,0,1,2], target = 3
输出:-1

示例 3:

输入:nums = [1], target = 0
输出:-1

提示:

1 <= nums.length <= 5000-10^4 <= nums[i] <= 10^4numsnums-10^4 <= target <= 10^4
O(log n)

代码: 二分查找

package main

import "fmt"

func search(nums []int, target int) int {
	n := len(nums)
	if n == 0 {
		return -1
	}
	if n == 1 {
		if nums[0] == target {
			return 0
		}
		return -1
	}
	left, right := 0, n-1
	for left <= right {
		mid := (left + right) / 2
		if nums[mid] == target {
			return mid
		}
		if nums[0] <= nums[mid] {
			if nums[0] <= target && target < nums[mid] {
				right = mid - 1
			} else {
				left = mid + 1
			}
		} else {
			if nums[mid] < target && target <= nums[n-1] {
				left = mid + 1
			} else {
				right = mid - 1
			}
		}
	}
	return -1
}

func main() {

	nums := []int{4, 5, 6, 7, 0, 1, 2}
	fmt.Println(search(nums, 0))
	fmt.Println(search(nums, 3))

	nums = []int{1}
	fmt.Println(search(nums, 0))

}

输出:

4
-1
-1

另一种写法:

其中: mid := left + (right-left)>>1    <==>     mid := (left + right) / 2

package main

import "fmt"

func search(nums []int, target int) int {
	if len(nums) == 0 {
		return -1
	}
	left, right := 0, len(nums)-1
	for left <= right {
		mid := left + (right-left)>>1
		if nums[mid] == target {
			return mid
		} else if nums[mid] > nums[left] {
			if nums[left] <= target && target < nums[mid] {
				right = mid - 1
			} else {
				left = mid + 1
			}
		} else if nums[mid] < nums[right] {
			if nums[mid] < target && target <= nums[right] {
				left = mid + 1
			} else {
				right = mid - 1
			}
		} else {
			if nums[left] == nums[mid] {
				left++
			}
			if nums[right] == nums[mid] {
				right--
			}
		}
	}
	return -1
}

func main() {

	nums := []int{4, 5, 6, 7, 0, 1, 2}
	fmt.Println(search(nums, 0))
	fmt.Println(search(nums, 3))

	nums = []int{1}
	fmt.Println(search(nums, 0))

}

持续,努力奋斗做强刷题搬运工!

👍 点赞,你的认可是我坚持的动力! 

🌟 收藏,你的青睐是我努力的方向! 

评论,你的意见是我进步的财富!