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>
#define x first
#define y second
#define sz(v) (int)v.size()
#define pb push_back
#define nl "\n"
using namespace std;
const int N = (int)1e6 + 7;
const int inf = (int)1e9 + 7;
int n, pos[N], p[N], e[N];
bool dp[200][16][1 << 16];
string s;
void calc(int v, int l, int r) {
if(l == r) {
for(int i = 0; i < n; ++i) {
dp[v][i][1 << i] = 1;
}
return;
}
bool tp = (s[l + 1] == 'a');
int mid = e[l];
calc(v * 2, l + 4, mid - 1);
calc(v * 2 + 1, mid + 1, r - 1);
for(int mask = 0; mask < (1 << n); ++mask) {
int msk = (((1 << n) - 1) ^ mask);
for(int s = msk; s; s = (s - 1) & msk) {
for(int x = 0; x < n; ++x) {
for(int y = 0; y < n; ++y) {
dp[v][(tp ? max(x, y) : min(x, y))][mask | s] |= (dp[v * 2][x][mask] & dp[v * 2 + 1][y][s]);
}
}
}
}
}
int main() {
ios_base::sync_with_stdio(NULL);
cin.tie(0);
cin >> s;
for(int i = 0; i < sz(s); ++i) {
if(s[i] == '?') {
pos[i] = ++n;
}
}
stack<int> st;
for(int i = 0; i < sz(s); ++i) {
if(s[i] == 'm') st.push(i);
if(s[i] == ',') {
assert(!st.empty());
e[st.top()] = i;
st.pop();
}
}
calc(1, 0, sz(s) - 1);
int ans = 0;
for(int i = 0; i < n; ++i) ans += dp[1][i][(1 << n) - 1];
cout << ans;
return 0;
}
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