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;
using namespace std::placeholders;
#define llong long long
#define xx first
#define yy second
#define len(x) ((int)x.size())
#define rep(i,n) for (int i = -1; ++ i < n; )
#define rep1(i,n) for (int i = 0; i ++ < n; )
#define all(x) x.begin(), x.end()
// #define rand __rand
// mt19937 rng(chrono::system_clock::now().time_since_epoch().count()); // or mt19937_64
// template<class T = int> T rand(T range = numeric_limits<T>::max()) {
// return (T)(rng() % range);
// }
struct query_string {
llong data;
query_string() {}
query_string& operator= (const string& s) {
data = 0;
for (auto i = s.rbegin(); i != s.rend(); ++i)
data = data << 2 | (*i == '?' ? 3 : (*i - '0'));
return *this;
}
int operator[](size_t pos) {
return (data >> pos >> pos) & 3;
}
};
#define maxl 20
#define maxn (1 << maxl)
#define maxq 1000101
int l, n, q;
int toxic[maxn];
pair<query_string, int*> queries[maxq];
int ans[maxq];
template<class ToxicIter, class QueryIter>
void solve(int level, ToxicIter beg_tox, ToxicIter end_tox, QueryIter beg_que, QueryIter end_que) {
if (beg_que == end_que) return ;
if (level == l) {
assert(distance(beg_tox, end_tox) == 1);
for (auto i = beg_que; i != end_que; ++i)
*(i->yy) = *beg_tox;
return ;
}
auto oneIter = beg_que, questionIter = end_que;
for (auto i = beg_que; i != questionIter; ) {
if (i->xx[level] == 3) swap(*i, *--questionIter);
else if (i->xx[level] == 0) swap(*(i++), *(oneIter++));
else ++i;
}
ToxicIter mid_tox = beg_tox;
advance(mid_tox, distance(beg_tox, end_tox) / 2);
solve(level + 1, beg_tox, mid_tox, beg_que, oneIter);
solve(level + 1, mid_tox, end_tox, oneIter, questionIter);
for (auto i = beg_tox, f = mid_tox; f != end_tox; ++i, ++f)
*i += *f;
solve(level + 1, beg_tox, mid_tox, questionIter, end_que);
for (auto i = beg_tox, f = mid_tox; f != end_tox; ++i, ++f)
*i -= *f;
}
int main(void) {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> l >> q;
n = 1 << l;
{
string s; cin >> s;
rep(i, n) toxic[i] = s[i] - '0';
}
rep(i, q) {
string que; cin >> que;
queries[i].xx = que;
queries[i].yy = ans + i;
}
solve(0, toxic, toxic + n, queries, queries + q);
rep(i, q) cout << ans[i] << '\n';
return 0;
}
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