题目地址:CF1095E Almost Regular Bracket Sequence

真的是尬,Div.3都没AK,难受QWQ

就死在这道水题上(水题都切不了,我太菜了)

看了题解,发现题解有错,不过还是看懂了QAQ

其实是一道好题 (话说CF的题有不好的么(雾

难在预处理

预处理两个数组:

前缀和:若 \(s_i\) 为 \((\) , \(s1_i=s1_{i-1}+1\) ,反之同理;

后缀和:若 \(s_i\) 为 \()\) , \(s2_i=s2_{i+1}+1\) ,反之亦同理。

再预处理两个bool数组:

从头到尾扫,若 \(s1_i>=0\) , \(v1_i=true\) ,否则立刻跳出循环;

从尾到头扫,若 \(s2_i>=0\) , \(v2_i=true\) ,否则亦立刻跳出循环;

!!!注意, \(v1_0=v2_{n+1}=true\) !!!

最后逐个判断每个位置能否被替换即可(如何判断请自行根据代码脑补)

#include <bits/stdc++.h>
using namespace std;
const int N = 1000006;
int n, s1[N], s2[N];
bool v1[N], v2[N];
char s[N];

int main() {
    cin >> n;
    scanf("%s", s + 1);
    for (int i = 1; i <= n; i++)
        s1[i] = s1[i-1] + (s[i] == '(' ? 1 : -1);
    for (int i = 0; i <= n; i++)
        if (s1[i] >= 0) v1[i] = 1;
        else break;
    for (int i = n; i; i--)
        s2[i] = s2[i+1] + (s[i] == ')' ? 1 : -1);
    for (int i = n + 1; i; i--)
        if (s2[i] >= 0) v2[i] = 1;
        else break;
    int ans = 0;
    for (int i = 1; i <= n; i++)
        if (v1[i-1] && v2[i+1]) {
            if (s[i] == '(') {
                if (s1[i-1] > 0 && s1[i-1] - 1 == s2[i+1]) ans++;
            } else {
                if (s1[i-1] + 1 == s2[i+1]) ans++;
            }
        }
    cout << ans << endl;
    return 0;
}

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