#include <bits/stdc++.h>
using namespace std;
#define ll long long
int dp[2][1 << 20], dp2[2][1 << 20];
string s;
int a[1 << 20];
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int n, q;
cin >> n >> q;
int m = n;
n = 1 << n;
for (int i = 0; i < n; i++) {
char c;
cin >> c;
a[i] = c - '0';
}
for (int i = 0; i < n; i++) dp[m & 1][i] = a[i], dp2[m & 1][i] = a[i];
for (int i = m - 1; i >= 0; i--) {
for (int j = 0; j < n; j++) {
dp[i & 1][j] = dp[(i + 1) & 1][j];
dp2[i & 1][j] = dp2[(i + 1) & 1][j];
if ((j >> i) & 1) {
dp[i & 1][j] += dp[(i + 1) & 1][j ^ (1 << i)];
} else {
dp2[i & 1][j] += dp2[(i + 1) & 1][j ^ (1 << i)];
}
}
}
while (q--) {
cin >> s;
int frq[3]{};
for (int i = 0; i < m; i++) {
if (s[i] == '?') {
frq[2]++;
} else {
frq[s[i] - '0']++;
}
}
reverse(s.begin(), s.end());
int ans = 0;
if (frq[2] <= frq[0] && frq[2] <= frq[1]) {
int x = 0, st = 0;
for (int i = 0; i < m; i++) {
int b = s[i] - '0';
if (s[i] == '?') st += 1 << i, b = 0;
x += b << i;
}
for (int msk = st; msk >= 0; msk = ((msk - 1) & st)) {
int v = x | msk;
ans += a[v];
if (!msk) break;
}
} else if (frq[1] <= frq[0] && frq[1] <= frq[2]) {
int x = 0, st = 0;
for (int i = 0; i < m; i++) {
int b = s[i] - '0';
if (s[i] == '?') b = 1;
if (s[i] == '1') st += 1 << i, b = 0;
x += b << i;
}
for (int msk = st; msk >= 0; msk = ((msk - 1) & st)) {
int v = x | msk;
int cnt = __builtin_popcount(msk);
if ((frq[1] - cnt) & 1) {
ans -= dp[0][v];
} else {
ans += dp[0][v];
}
if (!msk) break;
}
} else {
int x = 0, st = 0;
for (int i = 0; i < m; i++) {
int b = s[i] - '0';
if (s[i] == '?') b = 0;
if (s[i] == '0') st += 1 << i;
x += b << i;
}
for (int msk = st; msk >= 0; msk = ((msk - 1) & st)) {
int v = x | msk;
int cnt = __builtin_popcount(msk);
if (cnt & 1) {
ans -= dp2[0][v];
} else {
ans += dp2[0][v];
}
if (msk == 0) break;
}
}
cout << ans << '\n';
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8696 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
1 ms |
8540 KB |
Output is correct |
8 |
Correct |
1 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
1 ms |
8668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8696 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
1 ms |
8540 KB |
Output is correct |
8 |
Correct |
1 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
1 ms |
8668 KB |
Output is correct |
11 |
Correct |
176 ms |
22352 KB |
Output is correct |
12 |
Correct |
210 ms |
22072 KB |
Output is correct |
13 |
Correct |
204 ms |
21256 KB |
Output is correct |
14 |
Correct |
184 ms |
21300 KB |
Output is correct |
15 |
Correct |
205 ms |
22252 KB |
Output is correct |
16 |
Correct |
221 ms |
21628 KB |
Output is correct |
17 |
Correct |
210 ms |
21324 KB |
Output is correct |
18 |
Correct |
183 ms |
23192 KB |
Output is correct |
19 |
Correct |
130 ms |
20296 KB |
Output is correct |
20 |
Correct |
209 ms |
22212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8696 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
1 ms |
8540 KB |
Output is correct |
8 |
Correct |
1 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
1 ms |
8668 KB |
Output is correct |
11 |
Correct |
176 ms |
22352 KB |
Output is correct |
12 |
Correct |
210 ms |
22072 KB |
Output is correct |
13 |
Correct |
204 ms |
21256 KB |
Output is correct |
14 |
Correct |
184 ms |
21300 KB |
Output is correct |
15 |
Correct |
205 ms |
22252 KB |
Output is correct |
16 |
Correct |
221 ms |
21628 KB |
Output is correct |
17 |
Correct |
210 ms |
21324 KB |
Output is correct |
18 |
Correct |
183 ms |
23192 KB |
Output is correct |
19 |
Correct |
130 ms |
20296 KB |
Output is correct |
20 |
Correct |
209 ms |
22212 KB |
Output is correct |
21 |
Correct |
236 ms |
25184 KB |
Output is correct |
22 |
Correct |
264 ms |
25408 KB |
Output is correct |
23 |
Correct |
266 ms |
24264 KB |
Output is correct |
24 |
Correct |
210 ms |
24088 KB |
Output is correct |
25 |
Correct |
254 ms |
26236 KB |
Output is correct |
26 |
Correct |
275 ms |
24836 KB |
Output is correct |
27 |
Correct |
269 ms |
24516 KB |
Output is correct |
28 |
Correct |
175 ms |
27116 KB |
Output is correct |
29 |
Correct |
145 ms |
23120 KB |
Output is correct |
30 |
Correct |
257 ms |
25564 KB |
Output is correct |
31 |
Correct |
277 ms |
25072 KB |
Output is correct |
32 |
Correct |
316 ms |
25152 KB |
Output is correct |
33 |
Correct |
195 ms |
23932 KB |
Output is correct |
34 |
Correct |
240 ms |
24148 KB |
Output is correct |
35 |
Correct |
281 ms |
24656 KB |
Output is correct |
36 |
Correct |
159 ms |
23120 KB |
Output is correct |
37 |
Correct |
239 ms |
23380 KB |
Output is correct |
38 |
Correct |
145 ms |
21328 KB |
Output is correct |
39 |
Correct |
227 ms |
22388 KB |
Output is correct |
40 |
Correct |
211 ms |
22284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8696 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
1 ms |
8540 KB |
Output is correct |
8 |
Correct |
1 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
1 ms |
8668 KB |
Output is correct |
11 |
Correct |
60 ms |
23124 KB |
Output is correct |
12 |
Correct |
59 ms |
23256 KB |
Output is correct |
13 |
Correct |
66 ms |
23120 KB |
Output is correct |
14 |
Correct |
77 ms |
23116 KB |
Output is correct |
15 |
Correct |
58 ms |
23120 KB |
Output is correct |
16 |
Correct |
72 ms |
23124 KB |
Output is correct |
17 |
Correct |
77 ms |
23124 KB |
Output is correct |
18 |
Correct |
52 ms |
23380 KB |
Output is correct |
19 |
Correct |
52 ms |
22868 KB |
Output is correct |
20 |
Correct |
57 ms |
23148 KB |
Output is correct |
21 |
Correct |
62 ms |
23252 KB |
Output is correct |
22 |
Correct |
67 ms |
23124 KB |
Output is correct |
23 |
Correct |
56 ms |
22988 KB |
Output is correct |
24 |
Correct |
65 ms |
22984 KB |
Output is correct |
25 |
Correct |
73 ms |
23120 KB |
Output is correct |
26 |
Correct |
53 ms |
22868 KB |
Output is correct |
27 |
Correct |
62 ms |
23240 KB |
Output is correct |
28 |
Correct |
53 ms |
22868 KB |
Output is correct |
29 |
Correct |
71 ms |
23120 KB |
Output is correct |
30 |
Correct |
60 ms |
23120 KB |
Output is correct |
31 |
Correct |
55 ms |
23004 KB |
Output is correct |
32 |
Correct |
70 ms |
22980 KB |
Output is correct |
33 |
Correct |
89 ms |
23124 KB |
Output is correct |
34 |
Correct |
50 ms |
22868 KB |
Output is correct |
35 |
Correct |
64 ms |
23000 KB |
Output is correct |
36 |
Correct |
63 ms |
23124 KB |
Output is correct |
37 |
Correct |
67 ms |
23124 KB |
Output is correct |
38 |
Correct |
84 ms |
23308 KB |
Output is correct |
39 |
Correct |
70 ms |
23128 KB |
Output is correct |
40 |
Correct |
63 ms |
23120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
1 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8696 KB |
Output is correct |
5 |
Correct |
2 ms |
8540 KB |
Output is correct |
6 |
Correct |
2 ms |
8540 KB |
Output is correct |
7 |
Correct |
1 ms |
8540 KB |
Output is correct |
8 |
Correct |
1 ms |
8540 KB |
Output is correct |
9 |
Correct |
2 ms |
8540 KB |
Output is correct |
10 |
Correct |
1 ms |
8668 KB |
Output is correct |
11 |
Correct |
176 ms |
22352 KB |
Output is correct |
12 |
Correct |
210 ms |
22072 KB |
Output is correct |
13 |
Correct |
204 ms |
21256 KB |
Output is correct |
14 |
Correct |
184 ms |
21300 KB |
Output is correct |
15 |
Correct |
205 ms |
22252 KB |
Output is correct |
16 |
Correct |
221 ms |
21628 KB |
Output is correct |
17 |
Correct |
210 ms |
21324 KB |
Output is correct |
18 |
Correct |
183 ms |
23192 KB |
Output is correct |
19 |
Correct |
130 ms |
20296 KB |
Output is correct |
20 |
Correct |
209 ms |
22212 KB |
Output is correct |
21 |
Correct |
236 ms |
25184 KB |
Output is correct |
22 |
Correct |
264 ms |
25408 KB |
Output is correct |
23 |
Correct |
266 ms |
24264 KB |
Output is correct |
24 |
Correct |
210 ms |
24088 KB |
Output is correct |
25 |
Correct |
254 ms |
26236 KB |
Output is correct |
26 |
Correct |
275 ms |
24836 KB |
Output is correct |
27 |
Correct |
269 ms |
24516 KB |
Output is correct |
28 |
Correct |
175 ms |
27116 KB |
Output is correct |
29 |
Correct |
145 ms |
23120 KB |
Output is correct |
30 |
Correct |
257 ms |
25564 KB |
Output is correct |
31 |
Correct |
277 ms |
25072 KB |
Output is correct |
32 |
Correct |
316 ms |
25152 KB |
Output is correct |
33 |
Correct |
195 ms |
23932 KB |
Output is correct |
34 |
Correct |
240 ms |
24148 KB |
Output is correct |
35 |
Correct |
281 ms |
24656 KB |
Output is correct |
36 |
Correct |
159 ms |
23120 KB |
Output is correct |
37 |
Correct |
239 ms |
23380 KB |
Output is correct |
38 |
Correct |
145 ms |
21328 KB |
Output is correct |
39 |
Correct |
227 ms |
22388 KB |
Output is correct |
40 |
Correct |
211 ms |
22284 KB |
Output is correct |
41 |
Correct |
60 ms |
23124 KB |
Output is correct |
42 |
Correct |
59 ms |
23256 KB |
Output is correct |
43 |
Correct |
66 ms |
23120 KB |
Output is correct |
44 |
Correct |
77 ms |
23116 KB |
Output is correct |
45 |
Correct |
58 ms |
23120 KB |
Output is correct |
46 |
Correct |
72 ms |
23124 KB |
Output is correct |
47 |
Correct |
77 ms |
23124 KB |
Output is correct |
48 |
Correct |
52 ms |
23380 KB |
Output is correct |
49 |
Correct |
52 ms |
22868 KB |
Output is correct |
50 |
Correct |
57 ms |
23148 KB |
Output is correct |
51 |
Correct |
62 ms |
23252 KB |
Output is correct |
52 |
Correct |
67 ms |
23124 KB |
Output is correct |
53 |
Correct |
56 ms |
22988 KB |
Output is correct |
54 |
Correct |
65 ms |
22984 KB |
Output is correct |
55 |
Correct |
73 ms |
23120 KB |
Output is correct |
56 |
Correct |
53 ms |
22868 KB |
Output is correct |
57 |
Correct |
62 ms |
23240 KB |
Output is correct |
58 |
Correct |
53 ms |
22868 KB |
Output is correct |
59 |
Correct |
71 ms |
23120 KB |
Output is correct |
60 |
Correct |
60 ms |
23120 KB |
Output is correct |
61 |
Correct |
55 ms |
23004 KB |
Output is correct |
62 |
Correct |
70 ms |
22980 KB |
Output is correct |
63 |
Correct |
89 ms |
23124 KB |
Output is correct |
64 |
Correct |
50 ms |
22868 KB |
Output is correct |
65 |
Correct |
64 ms |
23000 KB |
Output is correct |
66 |
Correct |
63 ms |
23124 KB |
Output is correct |
67 |
Correct |
67 ms |
23124 KB |
Output is correct |
68 |
Correct |
84 ms |
23308 KB |
Output is correct |
69 |
Correct |
70 ms |
23128 KB |
Output is correct |
70 |
Correct |
63 ms |
23120 KB |
Output is correct |
71 |
Correct |
395 ms |
42572 KB |
Output is correct |
72 |
Correct |
389 ms |
42676 KB |
Output is correct |
73 |
Correct |
365 ms |
44068 KB |
Output is correct |
74 |
Correct |
662 ms |
44336 KB |
Output is correct |
75 |
Correct |
396 ms |
46336 KB |
Output is correct |
76 |
Correct |
625 ms |
44624 KB |
Output is correct |
77 |
Correct |
509 ms |
44588 KB |
Output is correct |
78 |
Correct |
237 ms |
48288 KB |
Output is correct |
79 |
Correct |
218 ms |
42836 KB |
Output is correct |
80 |
Correct |
373 ms |
45436 KB |
Output is correct |
81 |
Correct |
487 ms |
45412 KB |
Output is correct |
82 |
Correct |
577 ms |
44412 KB |
Output is correct |
83 |
Correct |
310 ms |
43600 KB |
Output is correct |
84 |
Correct |
445 ms |
44280 KB |
Output is correct |
85 |
Correct |
503 ms |
44660 KB |
Output is correct |
86 |
Correct |
219 ms |
42204 KB |
Output is correct |
87 |
Correct |
368 ms |
45396 KB |
Output is correct |
88 |
Correct |
210 ms |
42324 KB |
Output is correct |
89 |
Correct |
352 ms |
41044 KB |
Output is correct |
90 |
Correct |
410 ms |
41488 KB |
Output is correct |
91 |
Correct |
317 ms |
40684 KB |
Output is correct |
92 |
Correct |
542 ms |
41808 KB |
Output is correct |
93 |
Correct |
496 ms |
41576 KB |
Output is correct |
94 |
Correct |
231 ms |
41324 KB |
Output is correct |
95 |
Correct |
438 ms |
44356 KB |
Output is correct |
96 |
Correct |
482 ms |
44392 KB |
Output is correct |
97 |
Correct |
486 ms |
44316 KB |
Output is correct |
98 |
Correct |
436 ms |
44472 KB |
Output is correct |
99 |
Correct |
435 ms |
44368 KB |
Output is correct |
100 |
Correct |
428 ms |
44468 KB |
Output is correct |