#include <bits/stdc++.h>
#define X first
#define Y second
#define MP make_pair
#define ll long long
using namespace std;
const int N = 1e5 + 12, mod = 1e9 + 7;
const ll INF = 1e18;
int n, q, w[1 << 20], sub[1 << 20], sup[1 << 20], cnt[1 << 20];
int main () {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cin >> n >> q;
int all = (1 << n) - 1;
for(int i = 0;i < (1 << n);i++){
char x; cin >> x, w[i] = x - '0', cnt[i] = __builtin_popcount(i);
sup[i] = sub[all ^ i] = w[i];
}
for(int i = 0;i < n;i++){
for(int j = 0;j < (1 << n);j++){
if((j >> i) & 1)
sup[j] += sup[j ^ (1 << i)];
}
for(int j = 0;j < (1 << n);j++){
if((j >> i) & 1)
sub[j] += sub[j ^ (1 << i)];
}
}
for(int i = 0;i < q;i++){
int A = 0, B = 0, C = 0;
int cA = 0, cB = 0, cC = 0;
for(int j = 1;j <= n;j++){
char x;
cin >> x;
if(x == '0')
cA += 1, A ^= (1 << (n - j));
else if(x == '1')
cB += 1, B ^= (1 << (n - j));
else
cC += 1, C ^= (1 << (n - j));
}
int ans = 0;
if(cA <= cC && cA <= cB){
for(int mask = A;mask >= 0;mask = (mask - 1) & A){
if((cnt[A] - cnt[mask]) & 1)
ans -= sub[mask | C];
else
ans += sub[mask | C];
if(mask == 0)
break;
}
}
else if(cB <= cA && cB <= cC){
for(int mask = B;mask >= 0;mask = (mask - 1) & B){
if((cnt[B] - cnt[mask]) & 1)
ans -= sup[mask | C];
else
ans += sup[mask | C];
if(mask == 0)
break;
}
}
else{
for(int mask = C;mask >= 0;mask = (mask - 1) & C){
ans += w[B | mask];
if(mask == 0)
break;
}
}
cout << ans << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
370 ms |
15040 KB |
Output is correct |
12 |
Correct |
341 ms |
14732 KB |
Output is correct |
13 |
Correct |
364 ms |
14092 KB |
Output is correct |
14 |
Correct |
359 ms |
14020 KB |
Output is correct |
15 |
Correct |
348 ms |
15192 KB |
Output is correct |
16 |
Correct |
376 ms |
14264 KB |
Output is correct |
17 |
Correct |
390 ms |
14220 KB |
Output is correct |
18 |
Correct |
285 ms |
16140 KB |
Output is correct |
19 |
Correct |
328 ms |
13096 KB |
Output is correct |
20 |
Correct |
345 ms |
14788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
370 ms |
15040 KB |
Output is correct |
12 |
Correct |
341 ms |
14732 KB |
Output is correct |
13 |
Correct |
364 ms |
14092 KB |
Output is correct |
14 |
Correct |
359 ms |
14020 KB |
Output is correct |
15 |
Correct |
348 ms |
15192 KB |
Output is correct |
16 |
Correct |
376 ms |
14264 KB |
Output is correct |
17 |
Correct |
390 ms |
14220 KB |
Output is correct |
18 |
Correct |
285 ms |
16140 KB |
Output is correct |
19 |
Correct |
328 ms |
13096 KB |
Output is correct |
20 |
Correct |
345 ms |
14788 KB |
Output is correct |
21 |
Correct |
414 ms |
18148 KB |
Output is correct |
22 |
Correct |
412 ms |
18328 KB |
Output is correct |
23 |
Correct |
485 ms |
17320 KB |
Output is correct |
24 |
Correct |
496 ms |
17364 KB |
Output is correct |
25 |
Correct |
448 ms |
19148 KB |
Output is correct |
26 |
Correct |
470 ms |
17612 KB |
Output is correct |
27 |
Correct |
493 ms |
17620 KB |
Output is correct |
28 |
Correct |
303 ms |
20096 KB |
Output is correct |
29 |
Correct |
406 ms |
16252 KB |
Output is correct |
30 |
Correct |
421 ms |
18304 KB |
Output is correct |
31 |
Correct |
434 ms |
18152 KB |
Output is correct |
32 |
Correct |
509 ms |
18140 KB |
Output is correct |
33 |
Correct |
403 ms |
17092 KB |
Output is correct |
34 |
Correct |
475 ms |
17088 KB |
Output is correct |
35 |
Correct |
478 ms |
17620 KB |
Output is correct |
36 |
Correct |
324 ms |
16068 KB |
Output is correct |
37 |
Correct |
402 ms |
18244 KB |
Output is correct |
38 |
Correct |
400 ms |
16096 KB |
Output is correct |
39 |
Correct |
487 ms |
17352 KB |
Output is correct |
40 |
Correct |
494 ms |
17188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
106 ms |
18968 KB |
Output is correct |
12 |
Correct |
105 ms |
19000 KB |
Output is correct |
13 |
Correct |
122 ms |
18876 KB |
Output is correct |
14 |
Correct |
132 ms |
18888 KB |
Output is correct |
15 |
Correct |
103 ms |
19012 KB |
Output is correct |
16 |
Correct |
137 ms |
18948 KB |
Output is correct |
17 |
Correct |
128 ms |
18924 KB |
Output is correct |
18 |
Correct |
96 ms |
19132 KB |
Output is correct |
19 |
Correct |
105 ms |
18816 KB |
Output is correct |
20 |
Correct |
113 ms |
19004 KB |
Output is correct |
21 |
Correct |
113 ms |
19000 KB |
Output is correct |
22 |
Correct |
134 ms |
19028 KB |
Output is correct |
23 |
Correct |
104 ms |
18908 KB |
Output is correct |
24 |
Correct |
135 ms |
18888 KB |
Output is correct |
25 |
Correct |
160 ms |
18884 KB |
Output is correct |
26 |
Correct |
117 ms |
18928 KB |
Output is correct |
27 |
Correct |
103 ms |
18984 KB |
Output is correct |
28 |
Correct |
113 ms |
18752 KB |
Output is correct |
29 |
Correct |
149 ms |
18944 KB |
Output is correct |
30 |
Correct |
115 ms |
18888 KB |
Output is correct |
31 |
Correct |
107 ms |
18908 KB |
Output is correct |
32 |
Correct |
142 ms |
18884 KB |
Output is correct |
33 |
Correct |
141 ms |
18884 KB |
Output is correct |
34 |
Correct |
97 ms |
18748 KB |
Output is correct |
35 |
Correct |
124 ms |
18908 KB |
Output is correct |
36 |
Correct |
121 ms |
18904 KB |
Output is correct |
37 |
Correct |
135 ms |
18928 KB |
Output is correct |
38 |
Correct |
129 ms |
18884 KB |
Output is correct |
39 |
Correct |
125 ms |
18880 KB |
Output is correct |
40 |
Correct |
124 ms |
18976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
370 ms |
15040 KB |
Output is correct |
12 |
Correct |
341 ms |
14732 KB |
Output is correct |
13 |
Correct |
364 ms |
14092 KB |
Output is correct |
14 |
Correct |
359 ms |
14020 KB |
Output is correct |
15 |
Correct |
348 ms |
15192 KB |
Output is correct |
16 |
Correct |
376 ms |
14264 KB |
Output is correct |
17 |
Correct |
390 ms |
14220 KB |
Output is correct |
18 |
Correct |
285 ms |
16140 KB |
Output is correct |
19 |
Correct |
328 ms |
13096 KB |
Output is correct |
20 |
Correct |
345 ms |
14788 KB |
Output is correct |
21 |
Correct |
414 ms |
18148 KB |
Output is correct |
22 |
Correct |
412 ms |
18328 KB |
Output is correct |
23 |
Correct |
485 ms |
17320 KB |
Output is correct |
24 |
Correct |
496 ms |
17364 KB |
Output is correct |
25 |
Correct |
448 ms |
19148 KB |
Output is correct |
26 |
Correct |
470 ms |
17612 KB |
Output is correct |
27 |
Correct |
493 ms |
17620 KB |
Output is correct |
28 |
Correct |
303 ms |
20096 KB |
Output is correct |
29 |
Correct |
406 ms |
16252 KB |
Output is correct |
30 |
Correct |
421 ms |
18304 KB |
Output is correct |
31 |
Correct |
434 ms |
18152 KB |
Output is correct |
32 |
Correct |
509 ms |
18140 KB |
Output is correct |
33 |
Correct |
403 ms |
17092 KB |
Output is correct |
34 |
Correct |
475 ms |
17088 KB |
Output is correct |
35 |
Correct |
478 ms |
17620 KB |
Output is correct |
36 |
Correct |
324 ms |
16068 KB |
Output is correct |
37 |
Correct |
402 ms |
18244 KB |
Output is correct |
38 |
Correct |
400 ms |
16096 KB |
Output is correct |
39 |
Correct |
487 ms |
17352 KB |
Output is correct |
40 |
Correct |
494 ms |
17188 KB |
Output is correct |
41 |
Correct |
106 ms |
18968 KB |
Output is correct |
42 |
Correct |
105 ms |
19000 KB |
Output is correct |
43 |
Correct |
122 ms |
18876 KB |
Output is correct |
44 |
Correct |
132 ms |
18888 KB |
Output is correct |
45 |
Correct |
103 ms |
19012 KB |
Output is correct |
46 |
Correct |
137 ms |
18948 KB |
Output is correct |
47 |
Correct |
128 ms |
18924 KB |
Output is correct |
48 |
Correct |
96 ms |
19132 KB |
Output is correct |
49 |
Correct |
105 ms |
18816 KB |
Output is correct |
50 |
Correct |
113 ms |
19004 KB |
Output is correct |
51 |
Correct |
113 ms |
19000 KB |
Output is correct |
52 |
Correct |
134 ms |
19028 KB |
Output is correct |
53 |
Correct |
104 ms |
18908 KB |
Output is correct |
54 |
Correct |
135 ms |
18888 KB |
Output is correct |
55 |
Correct |
160 ms |
18884 KB |
Output is correct |
56 |
Correct |
117 ms |
18928 KB |
Output is correct |
57 |
Correct |
103 ms |
18984 KB |
Output is correct |
58 |
Correct |
113 ms |
18752 KB |
Output is correct |
59 |
Correct |
149 ms |
18944 KB |
Output is correct |
60 |
Correct |
115 ms |
18888 KB |
Output is correct |
61 |
Correct |
107 ms |
18908 KB |
Output is correct |
62 |
Correct |
142 ms |
18884 KB |
Output is correct |
63 |
Correct |
141 ms |
18884 KB |
Output is correct |
64 |
Correct |
97 ms |
18748 KB |
Output is correct |
65 |
Correct |
124 ms |
18908 KB |
Output is correct |
66 |
Correct |
121 ms |
18904 KB |
Output is correct |
67 |
Correct |
135 ms |
18928 KB |
Output is correct |
68 |
Correct |
129 ms |
18884 KB |
Output is correct |
69 |
Correct |
125 ms |
18880 KB |
Output is correct |
70 |
Correct |
124 ms |
18976 KB |
Output is correct |
71 |
Correct |
783 ms |
43320 KB |
Output is correct |
72 |
Correct |
725 ms |
43420 KB |
Output is correct |
73 |
Correct |
936 ms |
41900 KB |
Output is correct |
74 |
Correct |
1397 ms |
42220 KB |
Output is correct |
75 |
Correct |
684 ms |
44344 KB |
Output is correct |
76 |
Correct |
1297 ms |
42544 KB |
Output is correct |
77 |
Correct |
1163 ms |
42516 KB |
Output is correct |
78 |
Correct |
512 ms |
46396 KB |
Output is correct |
79 |
Correct |
738 ms |
40300 KB |
Output is correct |
80 |
Correct |
758 ms |
43464 KB |
Output is correct |
81 |
Correct |
990 ms |
43224 KB |
Output is correct |
82 |
Correct |
1257 ms |
42204 KB |
Output is correct |
83 |
Correct |
697 ms |
41476 KB |
Output is correct |
84 |
Correct |
1299 ms |
42236 KB |
Output is correct |
85 |
Correct |
1170 ms |
42404 KB |
Output is correct |
86 |
Correct |
527 ms |
40424 KB |
Output is correct |
87 |
Correct |
704 ms |
43232 KB |
Output is correct |
88 |
Correct |
737 ms |
40192 KB |
Output is correct |
89 |
Correct |
845 ms |
41892 KB |
Output is correct |
90 |
Correct |
1020 ms |
42204 KB |
Output is correct |
91 |
Correct |
704 ms |
41460 KB |
Output is correct |
92 |
Correct |
1348 ms |
42652 KB |
Output is correct |
93 |
Correct |
1161 ms |
42472 KB |
Output is correct |
94 |
Correct |
478 ms |
40292 KB |
Output is correct |
95 |
Correct |
1031 ms |
42408 KB |
Output is correct |
96 |
Correct |
999 ms |
42312 KB |
Output is correct |
97 |
Correct |
1025 ms |
42356 KB |
Output is correct |
98 |
Correct |
1002 ms |
42392 KB |
Output is correct |
99 |
Correct |
1026 ms |
42332 KB |
Output is correct |
100 |
Correct |
972 ms |
42408 KB |
Output is correct |