#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define lowbit(x) x&-x
const int maxn = 1e5 + 5;
const int sqrtn = 500;
int super[maxn], sub[maxn];
//sos dp + sqrt-sort technique(pigeonhole principle)
int main(void){
fastio;
int l, q;
cin>>l>>q;
string s;
cin>>s;
for(int i = 0; i < (1 << l); i++) sub[i] = super[i] = s[i] - '0';
for(int i = 0; i < l; i++){
for(int mask = 0; mask < (1 << l); mask++){
if(mask & (1 << i)) sub[mask] += sub[mask ^ (1 << i)];
else super[mask] += super[mask ^ (1 << i)];
}
}
while(q--){
string t;
cin>>t;
int cnt0 = 0, cnt1 = 0, cnt2 = 0;
int a = 0, b = 0, c = 0; //a = 0, b = 1, c = 2
for(int i = 0; i < l; i++){
char x = t[i];
if(x == '0') cnt0++, a |= (1 << (l - i - 1));
else if(x == '1') cnt1++, b |= (1 << (l - i - 1));
else cnt2++, c |= (1 << (l - i - 1));
}
int ans = 0;
if(cnt2 <= cnt0 && cnt2 <= cnt1){
for(int mask = c; mask > 0; mask = (mask - 1) & c){
ans += s[mask | b] - '0';
}
ans += s[b] - '0';
}
else if(cnt0 <= cnt1){
for(int mask = a; mask > 0; mask = (mask - 1) & a){
ans += (1 - 2 * (__builtin_popcount(mask) & 1)) * super[mask | b];
}
ans += super[b];
}
else{
for(int mask = b; mask > 0; mask = (mask - 1) & b){
ans += (1 - 2 * (__builtin_popcount(mask) & 1)) * sub[c | (b ^ mask)];
}
ans += sub[c | b];
}
cout<<ans<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
158 ms |
4432 KB |
Output is correct |
12 |
Correct |
169 ms |
10064 KB |
Output is correct |
13 |
Correct |
200 ms |
9316 KB |
Output is correct |
14 |
Correct |
189 ms |
9564 KB |
Output is correct |
15 |
Correct |
182 ms |
10576 KB |
Output is correct |
16 |
Correct |
208 ms |
9888 KB |
Output is correct |
17 |
Correct |
206 ms |
9704 KB |
Output is correct |
18 |
Correct |
141 ms |
11592 KB |
Output is correct |
19 |
Correct |
157 ms |
8484 KB |
Output is correct |
20 |
Correct |
174 ms |
10444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
158 ms |
4432 KB |
Output is correct |
12 |
Correct |
169 ms |
10064 KB |
Output is correct |
13 |
Correct |
200 ms |
9316 KB |
Output is correct |
14 |
Correct |
189 ms |
9564 KB |
Output is correct |
15 |
Correct |
182 ms |
10576 KB |
Output is correct |
16 |
Correct |
208 ms |
9888 KB |
Output is correct |
17 |
Correct |
206 ms |
9704 KB |
Output is correct |
18 |
Correct |
141 ms |
11592 KB |
Output is correct |
19 |
Correct |
157 ms |
8484 KB |
Output is correct |
20 |
Correct |
174 ms |
10444 KB |
Output is correct |
21 |
Correct |
187 ms |
11828 KB |
Output is correct |
22 |
Correct |
195 ms |
11976 KB |
Output is correct |
23 |
Correct |
238 ms |
11004 KB |
Output is correct |
24 |
Correct |
223 ms |
10836 KB |
Output is correct |
25 |
Correct |
209 ms |
12892 KB |
Output is correct |
26 |
Correct |
254 ms |
11432 KB |
Output is correct |
27 |
Correct |
248 ms |
11348 KB |
Output is correct |
28 |
Correct |
151 ms |
13908 KB |
Output is correct |
29 |
Correct |
209 ms |
9808 KB |
Output is correct |
30 |
Correct |
193 ms |
12112 KB |
Output is correct |
31 |
Correct |
228 ms |
11756 KB |
Output is correct |
32 |
Correct |
253 ms |
11852 KB |
Output is correct |
33 |
Correct |
202 ms |
10832 KB |
Output is correct |
34 |
Correct |
233 ms |
10940 KB |
Output is correct |
35 |
Correct |
252 ms |
11516 KB |
Output is correct |
36 |
Correct |
146 ms |
9808 KB |
Output is correct |
37 |
Correct |
181 ms |
11860 KB |
Output is correct |
38 |
Correct |
197 ms |
9900 KB |
Output is correct |
39 |
Correct |
221 ms |
11088 KB |
Output is correct |
40 |
Correct |
217 ms |
10876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Runtime error |
4 ms |
4352 KB |
Execution killed with signal 11 |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
158 ms |
4432 KB |
Output is correct |
12 |
Correct |
169 ms |
10064 KB |
Output is correct |
13 |
Correct |
200 ms |
9316 KB |
Output is correct |
14 |
Correct |
189 ms |
9564 KB |
Output is correct |
15 |
Correct |
182 ms |
10576 KB |
Output is correct |
16 |
Correct |
208 ms |
9888 KB |
Output is correct |
17 |
Correct |
206 ms |
9704 KB |
Output is correct |
18 |
Correct |
141 ms |
11592 KB |
Output is correct |
19 |
Correct |
157 ms |
8484 KB |
Output is correct |
20 |
Correct |
174 ms |
10444 KB |
Output is correct |
21 |
Correct |
187 ms |
11828 KB |
Output is correct |
22 |
Correct |
195 ms |
11976 KB |
Output is correct |
23 |
Correct |
238 ms |
11004 KB |
Output is correct |
24 |
Correct |
223 ms |
10836 KB |
Output is correct |
25 |
Correct |
209 ms |
12892 KB |
Output is correct |
26 |
Correct |
254 ms |
11432 KB |
Output is correct |
27 |
Correct |
248 ms |
11348 KB |
Output is correct |
28 |
Correct |
151 ms |
13908 KB |
Output is correct |
29 |
Correct |
209 ms |
9808 KB |
Output is correct |
30 |
Correct |
193 ms |
12112 KB |
Output is correct |
31 |
Correct |
228 ms |
11756 KB |
Output is correct |
32 |
Correct |
253 ms |
11852 KB |
Output is correct |
33 |
Correct |
202 ms |
10832 KB |
Output is correct |
34 |
Correct |
233 ms |
10940 KB |
Output is correct |
35 |
Correct |
252 ms |
11516 KB |
Output is correct |
36 |
Correct |
146 ms |
9808 KB |
Output is correct |
37 |
Correct |
181 ms |
11860 KB |
Output is correct |
38 |
Correct |
197 ms |
9900 KB |
Output is correct |
39 |
Correct |
221 ms |
11088 KB |
Output is correct |
40 |
Correct |
217 ms |
10876 KB |
Output is correct |
41 |
Runtime error |
4 ms |
4352 KB |
Execution killed with signal 11 |
42 |
Halted |
0 ms |
0 KB |
- |