#include<bits/stdc++.h>
using namespace std;
const int maxn = (1<<20);
int n, q;
int sub[maxn], super[maxn], val[maxn];
int gt(char x){
if(x == '0' || x == '1')return x-'0';
else return 2;
}
int main(){
ios::sync_with_stdio(false);
cin >> n >> q;
for(int i = 0; i < (1<<n); i++){
char x;
cin >> x;
sub[i] = super[i] = val[i] = x-'0';
}
for(int i = 0; i < n; i++){
for(int j = 0; j < (1<<n); j++){
if(j&(1<<i)){
super[j^(1<<i)]+=super[j];
sub[j]+=sub[j^(1<<i)];
}
}
}
while(q--){
string str;
cin >> str;
reverse(str.begin(), str.end());
int mask[3] = {0, 0, 0};
long long ans = 0;
for(int i = 0; i < n; i++){
mask[gt(str[i])]|=(1<<i);
}
if(__builtin_popcount(mask[1]) <= 6){
for(int i = mask[1];;i=(i-1)&mask[1]){
if(__builtin_popcount(i)&1)ans -= sub[mask[2]^mask[1]^i];
else ans += sub[mask[2]^mask[1]^i];
if(!i)break;
}
}
else if(__builtin_popcount(mask[2]) <= 6){
for(int i = mask[2];;i=(i-1)&mask[2]){
ans += val[i^mask[1]];
if(!i)break;
}
}
else {
for(int i = mask[0];;i=(i-1)&mask[0]){
if(__builtin_popcount(i)&1)ans -= super[mask[1]^i];
else ans += super[mask[1]^i];
if(!i)break;
}
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4696 KB |
Output is correct |
8 |
Correct |
2 ms |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4696 KB |
Output is correct |
8 |
Correct |
2 ms |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1319 ms |
8500 KB |
Output is correct |
12 |
Correct |
1240 ms |
8168 KB |
Output is correct |
13 |
Correct |
1234 ms |
7508 KB |
Output is correct |
14 |
Correct |
1255 ms |
7604 KB |
Output is correct |
15 |
Correct |
1233 ms |
8796 KB |
Output is correct |
16 |
Correct |
1274 ms |
7600 KB |
Output is correct |
17 |
Correct |
1250 ms |
7700 KB |
Output is correct |
18 |
Correct |
1219 ms |
9408 KB |
Output is correct |
19 |
Correct |
1295 ms |
10328 KB |
Output is correct |
20 |
Correct |
1284 ms |
11624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4696 KB |
Output is correct |
8 |
Correct |
2 ms |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1319 ms |
8500 KB |
Output is correct |
12 |
Correct |
1240 ms |
8168 KB |
Output is correct |
13 |
Correct |
1234 ms |
7508 KB |
Output is correct |
14 |
Correct |
1255 ms |
7604 KB |
Output is correct |
15 |
Correct |
1233 ms |
8796 KB |
Output is correct |
16 |
Correct |
1274 ms |
7600 KB |
Output is correct |
17 |
Correct |
1250 ms |
7700 KB |
Output is correct |
18 |
Correct |
1219 ms |
9408 KB |
Output is correct |
19 |
Correct |
1295 ms |
10328 KB |
Output is correct |
20 |
Correct |
1284 ms |
11624 KB |
Output is correct |
21 |
Correct |
1420 ms |
13140 KB |
Output is correct |
22 |
Correct |
1213 ms |
13320 KB |
Output is correct |
23 |
Correct |
1295 ms |
12420 KB |
Output is correct |
24 |
Correct |
1289 ms |
12080 KB |
Output is correct |
25 |
Correct |
1274 ms |
14024 KB |
Output is correct |
26 |
Correct |
1295 ms |
12744 KB |
Output is correct |
27 |
Correct |
1337 ms |
12868 KB |
Output is correct |
28 |
Correct |
1234 ms |
15256 KB |
Output is correct |
29 |
Correct |
1224 ms |
11264 KB |
Output is correct |
30 |
Correct |
1390 ms |
13316 KB |
Output is correct |
31 |
Correct |
1254 ms |
13200 KB |
Output is correct |
32 |
Correct |
1273 ms |
13196 KB |
Output is correct |
33 |
Correct |
1220 ms |
11848 KB |
Output is correct |
34 |
Correct |
1298 ms |
12164 KB |
Output is correct |
35 |
Correct |
1444 ms |
12612 KB |
Output is correct |
36 |
Correct |
1307 ms |
10988 KB |
Output is correct |
37 |
Correct |
1255 ms |
12984 KB |
Output is correct |
38 |
Correct |
1325 ms |
11152 KB |
Output is correct |
39 |
Correct |
1477 ms |
12284 KB |
Output is correct |
40 |
Correct |
1311 ms |
12596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4696 KB |
Output is correct |
8 |
Correct |
2 ms |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
98 ms |
12760 KB |
Output is correct |
12 |
Correct |
111 ms |
12808 KB |
Output is correct |
13 |
Correct |
107 ms |
13392 KB |
Output is correct |
14 |
Correct |
128 ms |
13344 KB |
Output is correct |
15 |
Correct |
104 ms |
13392 KB |
Output is correct |
16 |
Correct |
112 ms |
13436 KB |
Output is correct |
17 |
Correct |
109 ms |
13396 KB |
Output is correct |
18 |
Correct |
98 ms |
13640 KB |
Output is correct |
19 |
Correct |
108 ms |
13140 KB |
Output is correct |
20 |
Correct |
106 ms |
13392 KB |
Output is correct |
21 |
Correct |
103 ms |
13476 KB |
Output is correct |
22 |
Correct |
113 ms |
13428 KB |
Output is correct |
23 |
Correct |
103 ms |
13176 KB |
Output is correct |
24 |
Correct |
117 ms |
13392 KB |
Output is correct |
25 |
Correct |
115 ms |
13392 KB |
Output is correct |
26 |
Correct |
104 ms |
13524 KB |
Output is correct |
27 |
Correct |
104 ms |
13480 KB |
Output is correct |
28 |
Correct |
108 ms |
13564 KB |
Output is correct |
29 |
Correct |
104 ms |
13424 KB |
Output is correct |
30 |
Correct |
111 ms |
13396 KB |
Output is correct |
31 |
Correct |
101 ms |
13296 KB |
Output is correct |
32 |
Correct |
109 ms |
13392 KB |
Output is correct |
33 |
Correct |
113 ms |
13396 KB |
Output is correct |
34 |
Correct |
100 ms |
13140 KB |
Output is correct |
35 |
Correct |
120 ms |
13284 KB |
Output is correct |
36 |
Correct |
112 ms |
13272 KB |
Output is correct |
37 |
Correct |
106 ms |
13348 KB |
Output is correct |
38 |
Correct |
119 ms |
13396 KB |
Output is correct |
39 |
Correct |
118 ms |
13360 KB |
Output is correct |
40 |
Correct |
107 ms |
13452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4696 KB |
Output is correct |
8 |
Correct |
2 ms |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1319 ms |
8500 KB |
Output is correct |
12 |
Correct |
1240 ms |
8168 KB |
Output is correct |
13 |
Correct |
1234 ms |
7508 KB |
Output is correct |
14 |
Correct |
1255 ms |
7604 KB |
Output is correct |
15 |
Correct |
1233 ms |
8796 KB |
Output is correct |
16 |
Correct |
1274 ms |
7600 KB |
Output is correct |
17 |
Correct |
1250 ms |
7700 KB |
Output is correct |
18 |
Correct |
1219 ms |
9408 KB |
Output is correct |
19 |
Correct |
1295 ms |
10328 KB |
Output is correct |
20 |
Correct |
1284 ms |
11624 KB |
Output is correct |
21 |
Correct |
1420 ms |
13140 KB |
Output is correct |
22 |
Correct |
1213 ms |
13320 KB |
Output is correct |
23 |
Correct |
1295 ms |
12420 KB |
Output is correct |
24 |
Correct |
1289 ms |
12080 KB |
Output is correct |
25 |
Correct |
1274 ms |
14024 KB |
Output is correct |
26 |
Correct |
1295 ms |
12744 KB |
Output is correct |
27 |
Correct |
1337 ms |
12868 KB |
Output is correct |
28 |
Correct |
1234 ms |
15256 KB |
Output is correct |
29 |
Correct |
1224 ms |
11264 KB |
Output is correct |
30 |
Correct |
1390 ms |
13316 KB |
Output is correct |
31 |
Correct |
1254 ms |
13200 KB |
Output is correct |
32 |
Correct |
1273 ms |
13196 KB |
Output is correct |
33 |
Correct |
1220 ms |
11848 KB |
Output is correct |
34 |
Correct |
1298 ms |
12164 KB |
Output is correct |
35 |
Correct |
1444 ms |
12612 KB |
Output is correct |
36 |
Correct |
1307 ms |
10988 KB |
Output is correct |
37 |
Correct |
1255 ms |
12984 KB |
Output is correct |
38 |
Correct |
1325 ms |
11152 KB |
Output is correct |
39 |
Correct |
1477 ms |
12284 KB |
Output is correct |
40 |
Correct |
1311 ms |
12596 KB |
Output is correct |
41 |
Correct |
98 ms |
12760 KB |
Output is correct |
42 |
Correct |
111 ms |
12808 KB |
Output is correct |
43 |
Correct |
107 ms |
13392 KB |
Output is correct |
44 |
Correct |
128 ms |
13344 KB |
Output is correct |
45 |
Correct |
104 ms |
13392 KB |
Output is correct |
46 |
Correct |
112 ms |
13436 KB |
Output is correct |
47 |
Correct |
109 ms |
13396 KB |
Output is correct |
48 |
Correct |
98 ms |
13640 KB |
Output is correct |
49 |
Correct |
108 ms |
13140 KB |
Output is correct |
50 |
Correct |
106 ms |
13392 KB |
Output is correct |
51 |
Correct |
103 ms |
13476 KB |
Output is correct |
52 |
Correct |
113 ms |
13428 KB |
Output is correct |
53 |
Correct |
103 ms |
13176 KB |
Output is correct |
54 |
Correct |
117 ms |
13392 KB |
Output is correct |
55 |
Correct |
115 ms |
13392 KB |
Output is correct |
56 |
Correct |
104 ms |
13524 KB |
Output is correct |
57 |
Correct |
104 ms |
13480 KB |
Output is correct |
58 |
Correct |
108 ms |
13564 KB |
Output is correct |
59 |
Correct |
104 ms |
13424 KB |
Output is correct |
60 |
Correct |
111 ms |
13396 KB |
Output is correct |
61 |
Correct |
101 ms |
13296 KB |
Output is correct |
62 |
Correct |
109 ms |
13392 KB |
Output is correct |
63 |
Correct |
113 ms |
13396 KB |
Output is correct |
64 |
Correct |
100 ms |
13140 KB |
Output is correct |
65 |
Correct |
120 ms |
13284 KB |
Output is correct |
66 |
Correct |
112 ms |
13272 KB |
Output is correct |
67 |
Correct |
106 ms |
13348 KB |
Output is correct |
68 |
Correct |
119 ms |
13396 KB |
Output is correct |
69 |
Correct |
118 ms |
13360 KB |
Output is correct |
70 |
Correct |
107 ms |
13452 KB |
Output is correct |
71 |
Correct |
1407 ms |
24828 KB |
Output is correct |
72 |
Correct |
1383 ms |
24892 KB |
Output is correct |
73 |
Correct |
1438 ms |
23680 KB |
Output is correct |
74 |
Correct |
1583 ms |
23992 KB |
Output is correct |
75 |
Correct |
1426 ms |
26128 KB |
Output is correct |
76 |
Correct |
1636 ms |
24288 KB |
Output is correct |
77 |
Correct |
1555 ms |
28312 KB |
Output is correct |
78 |
Correct |
1345 ms |
32128 KB |
Output is correct |
79 |
Correct |
1332 ms |
25780 KB |
Output is correct |
80 |
Correct |
1379 ms |
29156 KB |
Output is correct |
81 |
Correct |
1465 ms |
29148 KB |
Output is correct |
82 |
Correct |
1626 ms |
27940 KB |
Output is correct |
83 |
Correct |
1373 ms |
27140 KB |
Output is correct |
84 |
Correct |
1470 ms |
28312 KB |
Output is correct |
85 |
Correct |
1474 ms |
28248 KB |
Output is correct |
86 |
Correct |
1347 ms |
25964 KB |
Output is correct |
87 |
Correct |
1373 ms |
29208 KB |
Output is correct |
88 |
Correct |
1349 ms |
26048 KB |
Output is correct |
89 |
Correct |
1437 ms |
28172 KB |
Output is correct |
90 |
Correct |
1467 ms |
27992 KB |
Output is correct |
91 |
Correct |
1398 ms |
27500 KB |
Output is correct |
92 |
Correct |
1597 ms |
28148 KB |
Output is correct |
93 |
Correct |
1518 ms |
28448 KB |
Output is correct |
94 |
Correct |
1330 ms |
26056 KB |
Output is correct |
95 |
Correct |
1564 ms |
28072 KB |
Output is correct |
96 |
Correct |
1468 ms |
28508 KB |
Output is correct |
97 |
Correct |
1592 ms |
28388 KB |
Output is correct |
98 |
Correct |
1592 ms |
28144 KB |
Output is correct |
99 |
Correct |
1491 ms |
28264 KB |
Output is correct |
100 |
Correct |
1543 ms |
28328 KB |
Output is correct |