#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pi;
typedef pair<long long,long long> pl;
#define all(s) s.begin(),s.end()
#define F first
#define S second
#define sz(a) a.size()
const ll mod = 1e9+7;
const ll INF = 1e18;
const int inf = 1e9+200;
const int N=1e5 + 10;
int n,q;
int a[11*N];
int sub[11*N],sup[11*N];
void solve() {
cin>>n>>q;
for(int i=0;i<(1<<n);++i) {
char cc;
cin>>cc;
a[i]=(cc-'0');
}
for(int i=0;i<(1<<n);++i) {
sub[i]=a[i];
sup[i]=a[i];
}
for(int i=0;i<n;++i) {
for(int mask=0;mask<(1<<n);++mask) {
if(mask & (1<<i)) {
sub[mask] += sub[mask^(1<<i)];
}
}
}
for(int i=0;i<n;++i) {
for(int mask=(1<<n)-1;mask>=0;--mask) {
if(mask & (1<<i)) {
sup[mask] += sup[mask^(1<<i)];
}
}
}
while(q--) {
string s;
cin>>s;
int cnt[3];
fill(cnt,cnt+3,0);
ll sum=0;
vector<int> b;
reverse(all(s));
vector<int> b1;
vector<int> b2;
for(int i=0;i<n;++i) {
if(s[i]=='?') {
cnt[2]++;
b.push_back(i);
}
else if(s[i]=='1') {
cnt[1]++;
sum+=(1<<i);
b1.push_back(i);
}
else {
cnt[0]++;
b2.push_back(i);
}
}
if(cnt[2]<=6) {
int ans = 0;
for(int mask=0;mask<(1<<cnt[2]);++mask) {
int t=0;
for(int i=0;i<cnt[2];++i) {
if((mask>>i)&1) {
t+=(1<<(b[i]));
}
}
ans+=a[sum + t];
}
cout<<ans<<'\n';
}
else if(cnt[1]<=6) {
int ans = 0;
for(int i=0;i<n;++i) {
if(s[i]=='?'){
s[i]='1';
sum+=(1<<i);
}
}
for(int mask=0;mask<(1<<cnt[1]);++mask) {
int t=0;
for(int i=0;i<cnt[1];++i) {
if((mask>>i) & 1) {
t+=(1<<(b1[i]));
}
}
if((cnt[1]-__builtin_popcount(mask))&1==0) {
ans+=sub[sum-t];
}
else {
ans-=sub[sum-t];
}
}
cout<<ans<<'\n';
}
else if(cnt[0]<=6) {
int ans = 0;
for(int mask=0;mask<(1<<cnt[0]);++mask) {
int t=0;
for(int i=0;i<cnt[0];++i) {
if((mask>>i) & 1) {
t+=(1<<(b2[i]));
}
}
if((__builtin_popcount(mask))&1==0) {
ans+=sup[sum+t];
}
else {
ans-=sup[sum+t];
}
}
cout<<ans<<'\n';
}
}
}
int main() {
ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0);
int T=1;
//cin>>T;
while(T--) {
solve();
}
return 0;
}
Compilation message
snake_escaping.cpp: In function 'void solve()':
snake_escaping.cpp:101:55: warning: suggest parentheses around comparison in operand of '&' [-Wparentheses]
101 | if((cnt[1]-__builtin_popcount(mask))&1==0) {
| ~^~~
snake_escaping.cpp:119:48: warning: suggest parentheses around comparison in operand of '&' [-Wparentheses]
119 | if((__builtin_popcount(mask))&1==0) {
| ~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |