This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define l first
#define r second
constexpr int maxn = 1e6+10;
string s;
vector<pair<int,int>> itv;
struct NodeAns {
int l, r, sz;
};
NodeAns solve(int x) {
if(itv[x].l == itv[x].r) return {1, 1, 1};
auto itvL = solve(x+1), itvR = solve(upper_bound(itv.begin(), itv.end(), pair<int,int>(itv[x+1].r, 0x3f3f3f3f)) - itv.begin());
if(s[itv[x].l-1] == 'x') // caso de max
return {itvL.l + itvR.l, max(itvL.r + itvR.sz, itvL.sz + itvR.r), itvL.sz + itvR.sz};
else // caso de min
return {min(itvL.l, itvR.l), itvL.r + itvR.r - 1, itvL.sz + itvR.sz};
}
int main() {
ios_base::sync_with_stdio(false);
cin >> s;
vector<int> open;
for(int i = 0; i < (int)s.size(); i++)
if(s[i] == '(') open.push_back(i);
else if(s[i] == ')') itv.push_back({open.back(), i}), open.pop_back();
else if(s[i] == '?') itv.push_back({i, i}); // intervals with same beginning and end are question marks
sort(itv.begin(), itv.end()); // sorts by the opening bracket
auto [l, r, sz] = solve(0);
printf("%d\n", r-l+1);
}
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