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https://github.com/halfrost/LeetCode-Go.git
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添加 problem 1111
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package leetcode
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// 解法一 二分思想
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func maxDepthAfterSplit(seq string) []int {
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stack, maxDepth, res := 0, 0, []int{}
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for _, v := range seq {
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if v == '(' {
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stack++
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maxDepth = max(stack, maxDepth)
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} else {
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stack--
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}
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}
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stack = 0
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for i := 0; i < len(seq); i++ {
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if seq[i] == '(' {
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stack++
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if stack <= maxDepth/2 {
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res = append(res, 0)
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} else {
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res = append(res, 1)
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}
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} else {
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if stack <= maxDepth/2 {
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res = append(res, 0)
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} else {
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res = append(res, 1)
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}
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stack--
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}
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}
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return res
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}
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// 解法二 模拟
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func maxDepthAfterSplit1(seq string) []int {
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stack, top, res := make([]int, len(seq)), -1, make([]int, len(seq))
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for i, r := range seq {
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if r == ')' {
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res[i] = res[stack[top]]
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top--
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continue
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}
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top++
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stack[top] = i
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res[i] = top % 2
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}
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return res
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}
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@@ -0,0 +1,47 @@
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question1111 struct {
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para1111
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ans1111
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}
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// para 是参数
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// one 代表第一个参数
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type para1111 struct {
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one string
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}
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// ans 是答案
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// one 代表第一个答案
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type ans1111 struct {
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one []int
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}
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func Test_Problem1111(t *testing.T) {
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qs := []question1111{
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question1111{
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para1111{"(()())"},
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ans1111{[]int{0, 1, 1, 1, 1, 0}},
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},
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question1111{
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para1111{"()(())()"},
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ans1111{[]int{0, 0, 0, 1, 1, 0, 1, 1}},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 1111------------------------\n")
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for _, q := range qs {
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_, p := q.ans1111, q.para1111
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fmt.Printf("【input】:%v 【output】:%v\n", p, maxDepthAfterSplit(p.one))
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}
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fmt.Printf("\n\n\n")
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}
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@@ -0,0 +1,75 @@
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# [1111. Maximum Nesting Depth of Two Valid Parentheses Strings](https://leetcode.com/problems/maximum-nesting-depth-of-two-valid-parentheses-strings/)
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## 题目:
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A string is a *valid parentheses string* (denoted VPS) if and only if it consists of `"("` and `")"` characters only, and:
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- It is the empty string, or
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- It can be written as `AB` (`A` concatenated with `B`), where `A` and `B` are VPS's, or
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- It can be written as `(A)`, where `A` is a VPS.
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We can similarly define the *nesting depth* `depth(S)` of any VPS `S` as follows:
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- `depth("") = 0`
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- `depth(A + B) = max(depth(A), depth(B))`, where `A` and `B` are VPS's
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- `depth("(" + A + ")") = 1 + depth(A)`, where `A` is a VPS.
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For example, `""`, `"()()"`, and `"()(()())"` are VPS's (with nesting depths 0, 1, and 2), and `")("` and `"(()"` are not VPS's.
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Given a VPS seq, split it into two disjoint subsequences `A` and `B`, such that `A` and `B` are VPS's (and `A.length + B.length = seq.length`).
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Now choose **any** such `A` and `B` such that `max(depth(A), depth(B))` is the minimum possible value.
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Return an `answer` array (of length `seq.length`) that encodes such a choice of `A` and `B`: `answer[i] = 0` if `seq[i]` is part of `A`, else `answer[i] = 1`. Note that even though multiple answers may exist, you may return any of them.
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**Example 1:**
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Input: seq = "(()())"
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Output: [0,1,1,1,1,0]
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**Example 2:**
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Input: seq = "()(())()"
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Output: [0,0,0,1,1,0,1,1]
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**Constraints:**
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- `1 <= seq.size <= 10000`
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## 题目大意
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有效括号字符串 仅由 "(" 和 ")" 构成,并符合下述几个条件之一:
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- 空字符串
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- 连接,可以记作 AB(A 与 B 连接),其中 A 和 B 都是有效括号字符串
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- 嵌套,可以记作 (A),其中 A 是有效括号字符串
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类似地,我们可以定义任意有效括号字符串 s 的 嵌套深度 depth(S):
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- s 为空时,depth("") = 0
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- s 为 A 与 B 连接时,depth(A + B) = max(depth(A), depth(B)),其中 A 和 B 都是有效括号字符串
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- s 为嵌套情况,depth("(" + A + ")") = 1 + depth(A),其中 A 是有效括号字符串
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例如:"","()()",和 "()(()())" 都是有效括号字符串,嵌套深度分别为 0,1,2,而 ")(" 和 "(()" 都不是有效括号字符串。
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给你一个有效括号字符串 seq,将其分成两个不相交的子序列 A 和 B,且 A 和 B 满足有效括号字符串的定义(注意:A.length + B.length = seq.length)。
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现在,你需要从中选出 任意 一组有效括号字符串 A 和 B,使 max(depth(A), depth(B)) 的可能取值最小。
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返回长度为 seq.length 答案数组 answer ,选择 A 还是 B 的编码规则是:如果 seq[i] 是 A 的一部分,那么 answer[i] = 0。否则,answer[i] = 1。即便有多个满足要求的答案存在,你也只需返回 一个。
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## 解题思路
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- 给出一个括号字符串。选出 A 部分和 B 部分,使得 `max(depth(A), depth(B))` 值最小。在最终的数组中输出 0 和 1,0 标识是 A 部分,1 标识是 B 部分。
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- 这一题想要 `max(depth(A), depth(B))` 值最小,可以使用贪心思想。如果 A 部分和 B 部分都尽快括号匹配,不深层次嵌套,那么总的层次就会变小。只要让嵌套的括号中属于 A 的和属于 B 的间隔排列即可。例如:“`(((())))`”,上面的字符串的嵌套深度是 4,按照上述的贪心思想,则标记为 0101 1010。
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- 这一题也可以用二分的思想来解答。把深度平分给 A 部分和 B 部分。
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- 第一次遍历,先计算最大深度
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- 第二次遍历,把深度小于等于最大深度一半的括号标记为 0(给 A 部分),否则标记为 1(给 B 部分)
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