#pragma GCC optimize("O3")
#include <bits/stdc++.h>
int main() {
using namespace std;
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int L, Q;
cin >> L >> Q;
string S;
cin >> S;
vector<int> A(1 << L), dp1(1 << L), dp2(1 << L);
for (int i = 0; i < (1 << L); i++)
A[i] = dp1[i] = dp2[i] = S[i] - '0';
for (int b = 0; b < L; b++) {
for (int m = 0; m < (1 << L); m++) {
if (m >> b & 1)
dp1[m] += dp1[m ^ (1 << b)];
else
dp2[m] += dp2[m ^ (1 << b)];
}
}
while (Q--) {
string S;
cin >> S;
reverse(S.begin(), S.end());
int s0 = 0, s1 = 0, s2 = 0;
int m0 = 0, m1 = 0, m2 = 0;
for (int i = 0; i < L; i++) {
char c = S[i];
if (c == '?') {
s2++;
m2 |= (1 << i);
} else if (c == '0') {
s0++;
m0 |= (1 << i);
} else if (c == '1') {
s1++;
m1 |= (1 << i);
}
}
int s = min({s0, s1, s2});
if (s == s2) {
int ans = A[m1];
for (int m = m2; m > 0; m = (m - 1) & m2)
ans += A[m1 | m];
cout << ans << '\n';
} else if (s == s0) {
int ans = dp2[m1];
for (int m = m0; m > 0; m = (m - 1) & m0) {
if (__builtin_popcount(m) % 2 == 0)
ans += dp2[m1 | m];
else
ans -= dp2[m1 | m];
}
cout << ans << '\n';
} else if (s == s1) {
int ans = s1 % 2 == 0 ? dp1[m2] : -dp1[m2];
for (int m = m1; m > 0; m = (m - 1) & m1) {
if (__builtin_popcount(m) % 2 == s1 % 2)
ans += dp1[m2 | m];
else
ans -= dp1[m2 | m];
}
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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
15180 KB |
Output is correct |
12 |
Correct |
156 ms |
14676 KB |
Output is correct |
13 |
Correct |
175 ms |
13904 KB |
Output is correct |
14 |
Correct |
168 ms |
14160 KB |
Output is correct |
15 |
Correct |
170 ms |
15144 KB |
Output is correct |
16 |
Correct |
179 ms |
14164 KB |
Output is correct |
17 |
Correct |
185 ms |
14184 KB |
Output is correct |
18 |
Correct |
120 ms |
16212 KB |
Output is correct |
19 |
Correct |
164 ms |
13036 KB |
Output is correct |
20 |
Correct |
150 ms |
14676 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
15180 KB |
Output is correct |
12 |
Correct |
156 ms |
14676 KB |
Output is correct |
13 |
Correct |
175 ms |
13904 KB |
Output is correct |
14 |
Correct |
168 ms |
14160 KB |
Output is correct |
15 |
Correct |
170 ms |
15144 KB |
Output is correct |
16 |
Correct |
179 ms |
14164 KB |
Output is correct |
17 |
Correct |
185 ms |
14184 KB |
Output is correct |
18 |
Correct |
120 ms |
16212 KB |
Output is correct |
19 |
Correct |
164 ms |
13036 KB |
Output is correct |
20 |
Correct |
150 ms |
14676 KB |
Output is correct |
21 |
Correct |
157 ms |
18260 KB |
Output is correct |
22 |
Correct |
197 ms |
18376 KB |
Output is correct |
23 |
Correct |
202 ms |
17240 KB |
Output is correct |
24 |
Correct |
192 ms |
17236 KB |
Output is correct |
25 |
Correct |
198 ms |
19276 KB |
Output is correct |
26 |
Correct |
215 ms |
17724 KB |
Output is correct |
27 |
Correct |
224 ms |
17736 KB |
Output is correct |
28 |
Correct |
125 ms |
20296 KB |
Output is correct |
29 |
Correct |
197 ms |
16228 KB |
Output is correct |
30 |
Correct |
173 ms |
18260 KB |
Output is correct |
31 |
Correct |
217 ms |
18120 KB |
Output is correct |
32 |
Correct |
254 ms |
18112 KB |
Output is correct |
33 |
Correct |
181 ms |
16980 KB |
Output is correct |
34 |
Correct |
216 ms |
17204 KB |
Output is correct |
35 |
Correct |
223 ms |
17628 KB |
Output is correct |
36 |
Correct |
112 ms |
16212 KB |
Output is correct |
37 |
Correct |
167 ms |
18280 KB |
Output is correct |
38 |
Correct |
192 ms |
16212 KB |
Output is correct |
39 |
Correct |
224 ms |
17232 KB |
Output is correct |
40 |
Correct |
224 ms |
17232 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
36 ms |
16116 KB |
Output is correct |
12 |
Correct |
34 ms |
16124 KB |
Output is correct |
13 |
Correct |
36 ms |
16128 KB |
Output is correct |
14 |
Correct |
53 ms |
15960 KB |
Output is correct |
15 |
Correct |
36 ms |
16112 KB |
Output is correct |
16 |
Correct |
44 ms |
16120 KB |
Output is correct |
17 |
Correct |
39 ms |
16168 KB |
Output is correct |
18 |
Correct |
40 ms |
16356 KB |
Output is correct |
19 |
Correct |
35 ms |
15860 KB |
Output is correct |
20 |
Correct |
34 ms |
16120 KB |
Output is correct |
21 |
Correct |
38 ms |
16108 KB |
Output is correct |
22 |
Correct |
51 ms |
16120 KB |
Output is correct |
23 |
Correct |
33 ms |
16112 KB |
Output is correct |
24 |
Correct |
41 ms |
16120 KB |
Output is correct |
25 |
Correct |
41 ms |
16116 KB |
Output is correct |
26 |
Correct |
30 ms |
15972 KB |
Output is correct |
27 |
Correct |
34 ms |
16116 KB |
Output is correct |
28 |
Correct |
34 ms |
15856 KB |
Output is correct |
29 |
Correct |
35 ms |
16124 KB |
Output is correct |
30 |
Correct |
38 ms |
15964 KB |
Output is correct |
31 |
Correct |
34 ms |
16128 KB |
Output is correct |
32 |
Correct |
44 ms |
16120 KB |
Output is correct |
33 |
Correct |
43 ms |
16036 KB |
Output is correct |
34 |
Correct |
35 ms |
15976 KB |
Output is correct |
35 |
Correct |
41 ms |
16116 KB |
Output is correct |
36 |
Correct |
40 ms |
16116 KB |
Output is correct |
37 |
Correct |
38 ms |
16068 KB |
Output is correct |
38 |
Correct |
41 ms |
16112 KB |
Output is correct |
39 |
Correct |
42 ms |
16116 KB |
Output is correct |
40 |
Correct |
41 ms |
16168 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 |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
143 ms |
15180 KB |
Output is correct |
12 |
Correct |
156 ms |
14676 KB |
Output is correct |
13 |
Correct |
175 ms |
13904 KB |
Output is correct |
14 |
Correct |
168 ms |
14160 KB |
Output is correct |
15 |
Correct |
170 ms |
15144 KB |
Output is correct |
16 |
Correct |
179 ms |
14164 KB |
Output is correct |
17 |
Correct |
185 ms |
14184 KB |
Output is correct |
18 |
Correct |
120 ms |
16212 KB |
Output is correct |
19 |
Correct |
164 ms |
13036 KB |
Output is correct |
20 |
Correct |
150 ms |
14676 KB |
Output is correct |
21 |
Correct |
157 ms |
18260 KB |
Output is correct |
22 |
Correct |
197 ms |
18376 KB |
Output is correct |
23 |
Correct |
202 ms |
17240 KB |
Output is correct |
24 |
Correct |
192 ms |
17236 KB |
Output is correct |
25 |
Correct |
198 ms |
19276 KB |
Output is correct |
26 |
Correct |
215 ms |
17724 KB |
Output is correct |
27 |
Correct |
224 ms |
17736 KB |
Output is correct |
28 |
Correct |
125 ms |
20296 KB |
Output is correct |
29 |
Correct |
197 ms |
16228 KB |
Output is correct |
30 |
Correct |
173 ms |
18260 KB |
Output is correct |
31 |
Correct |
217 ms |
18120 KB |
Output is correct |
32 |
Correct |
254 ms |
18112 KB |
Output is correct |
33 |
Correct |
181 ms |
16980 KB |
Output is correct |
34 |
Correct |
216 ms |
17204 KB |
Output is correct |
35 |
Correct |
223 ms |
17628 KB |
Output is correct |
36 |
Correct |
112 ms |
16212 KB |
Output is correct |
37 |
Correct |
167 ms |
18280 KB |
Output is correct |
38 |
Correct |
192 ms |
16212 KB |
Output is correct |
39 |
Correct |
224 ms |
17232 KB |
Output is correct |
40 |
Correct |
224 ms |
17232 KB |
Output is correct |
41 |
Correct |
36 ms |
16116 KB |
Output is correct |
42 |
Correct |
34 ms |
16124 KB |
Output is correct |
43 |
Correct |
36 ms |
16128 KB |
Output is correct |
44 |
Correct |
53 ms |
15960 KB |
Output is correct |
45 |
Correct |
36 ms |
16112 KB |
Output is correct |
46 |
Correct |
44 ms |
16120 KB |
Output is correct |
47 |
Correct |
39 ms |
16168 KB |
Output is correct |
48 |
Correct |
40 ms |
16356 KB |
Output is correct |
49 |
Correct |
35 ms |
15860 KB |
Output is correct |
50 |
Correct |
34 ms |
16120 KB |
Output is correct |
51 |
Correct |
38 ms |
16108 KB |
Output is correct |
52 |
Correct |
51 ms |
16120 KB |
Output is correct |
53 |
Correct |
33 ms |
16112 KB |
Output is correct |
54 |
Correct |
41 ms |
16120 KB |
Output is correct |
55 |
Correct |
41 ms |
16116 KB |
Output is correct |
56 |
Correct |
30 ms |
15972 KB |
Output is correct |
57 |
Correct |
34 ms |
16116 KB |
Output is correct |
58 |
Correct |
34 ms |
15856 KB |
Output is correct |
59 |
Correct |
35 ms |
16124 KB |
Output is correct |
60 |
Correct |
38 ms |
15964 KB |
Output is correct |
61 |
Correct |
34 ms |
16128 KB |
Output is correct |
62 |
Correct |
44 ms |
16120 KB |
Output is correct |
63 |
Correct |
43 ms |
16036 KB |
Output is correct |
64 |
Correct |
35 ms |
15976 KB |
Output is correct |
65 |
Correct |
41 ms |
16116 KB |
Output is correct |
66 |
Correct |
40 ms |
16116 KB |
Output is correct |
67 |
Correct |
38 ms |
16068 KB |
Output is correct |
68 |
Correct |
41 ms |
16112 KB |
Output is correct |
69 |
Correct |
42 ms |
16116 KB |
Output is correct |
70 |
Correct |
41 ms |
16168 KB |
Output is correct |
71 |
Correct |
278 ms |
40288 KB |
Output is correct |
72 |
Correct |
317 ms |
40668 KB |
Output is correct |
73 |
Correct |
355 ms |
39124 KB |
Output is correct |
74 |
Correct |
571 ms |
39372 KB |
Output is correct |
75 |
Correct |
306 ms |
41456 KB |
Output is correct |
76 |
Correct |
459 ms |
39672 KB |
Output is correct |
77 |
Correct |
416 ms |
39668 KB |
Output is correct |
78 |
Correct |
178 ms |
43492 KB |
Output is correct |
79 |
Correct |
282 ms |
37476 KB |
Output is correct |
80 |
Correct |
260 ms |
40484 KB |
Output is correct |
81 |
Correct |
357 ms |
40436 KB |
Output is correct |
82 |
Correct |
569 ms |
39488 KB |
Output is correct |
83 |
Correct |
257 ms |
38444 KB |
Output is correct |
84 |
Correct |
468 ms |
39452 KB |
Output is correct |
85 |
Correct |
403 ms |
39628 KB |
Output is correct |
86 |
Correct |
169 ms |
37600 KB |
Output is correct |
87 |
Correct |
258 ms |
40412 KB |
Output is correct |
88 |
Correct |
309 ms |
37364 KB |
Output is correct |
89 |
Correct |
319 ms |
39096 KB |
Output is correct |
90 |
Correct |
384 ms |
39424 KB |
Output is correct |
91 |
Correct |
270 ms |
38640 KB |
Output is correct |
92 |
Correct |
501 ms |
39844 KB |
Output is correct |
93 |
Correct |
430 ms |
39668 KB |
Output is correct |
94 |
Correct |
164 ms |
37364 KB |
Output is correct |
95 |
Correct |
397 ms |
40436 KB |
Output is correct |
96 |
Correct |
350 ms |
39404 KB |
Output is correct |
97 |
Correct |
379 ms |
39424 KB |
Output is correct |
98 |
Correct |
365 ms |
39520 KB |
Output is correct |
99 |
Correct |
362 ms |
39412 KB |
Output is correct |
100 |
Correct |
403 ms |
39428 KB |
Output is correct |