This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Virtual participation 10:40-15:40 17.01.2023
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
string s;
cin >> s;
int n = s.size();
vector<int> stk;
vector<int> bracket(n, -1), comma(n, -1);
int cnt = count(s.begin(), s.end(), '?');
for (int i = 0; i < n; ++i) {
if (s[i] == ')') {
int p = stk.back();
stk.pop_back();
bracket[p] = i, bracket[i] = p;
if (s[i - 1] == ')') {
comma[p] = comma[i] = bracket[i - 1] - 4;
} else {
if (s[p + 1] == 'm') {
assert(s[p + 1] == 'm');
comma[p] = comma[i] = bracket[p + 4] + 1;
} else {
comma[p] = comma[i] = p + 2;
}
}
} else if (s[i] == '(') {
stk.push_back(i);
}
}
function<pair<int, int>(int, int)> solve = [&](int l, int r) -> pair<int, int> {
if (l == r) {
assert(s[l] == '?');
return {0, 0};
} else {
while (l < n && s[l] != '(') {
l += 1;
}
assert(l < r);
assert(bracket[l] == r);
int mid = comma[l];
auto L = solve(l + 1, mid - 1);
auto R = solve(mid + 1, r - 1);
if (s[l - 1] == 'x') { // -> max
return {L.first + R.first + 1, min(L.second, R.second)};
} else { // -> min
return {min(L.first, R.first), L.second + R.second + 1};
}
}
};
auto ans = solve(0, n - 1);
cout << cnt - ans.first - ans.second << '\n';
return 0;
}
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