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;
vector<vector<int>> g;
vector<int> t, l, r;
int n = 0;
void DFS(int u) {
l[u] = n, r[u] = 1;
vector<int> same, adj;
for (int v : g[u]) {
if (t[v] == t[u]) {
same.push_back(v);
} else {
adj.push_back(v);
}
}
while (!same.empty()) {
int x = same.back();
same.pop_back();
for (int v : g[x]) {
if (t[v] == t[u]) {
same.push_back(v);
} else {
adj.push_back(v);
}
}
}
g[u] = adj;
for (int v : g[u]) {
DFS(v);
l[u] = min(l[u], l[v]);
r[u] = max(r[u], r[v]);
}
if (t[u] == 1) {
r[u] -= g[u].size() - 1;
} else if (t[u] == 2) {
l[u] += g[u].size() - 1;
} else {
l[u] = 1, r[u] = n;
}
}
int main() {
string s;
cin >> s;
int k = (int)s.size();
stack<int> st;
for (int i = 0; i < k; i++) {
if (s[i] == ')') {
int x = st.top();
st.pop();
if (!st.empty()) {
g[st.top()].push_back(x);
}
} else if (s[i] == '?') {
g.push_back({});
t.push_back(3);
g[st.top()].push_back((int)g.size() - 1);
n++;
} else if (i + 2 < k && s[i] == 'm' && s[i + 1] == 'i' && s[i + 2] == 'n') {
g.push_back({});
t.push_back(1);
st.push((int)g.size() - 1);
} else if (i + 2 < k && s[i] == 'm' && s[i + 1] == 'a' && s[i + 2] == 'x') {
g.push_back({});
t.push_back(2);
st.push((int)g.size() - 1);
}
}
l = r = vector<int>(g.size());
DFS(0);
cout << r[0] - l[0] + 1 << "\n";
}
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