// In the name of the God
#include <bits/stdc++.h>
#define ll long long
// #define int long long
#define pb push_back
#define F first
#define S second
#define mp make_pair
#define pii pair <int, int>
#define smin(x, y) (x) = min((x), (y))
#define smax(x, y) (x) = max((x), (y))
#define all(x) (x).begin(), (x).end()
using namespace std;
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2")
const int inf = 1e9+7;
const int mod = 998244353;
const int maxn = 20;
int l, q, dp1[1<<maxn], dp2[1<<maxn];
string s, t;
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> l >> q >> s;
for (int i = 0; i < (1<<l); i++) dp1[i] = dp2[(1<<l)-i-1] = s[i]-'0';
for (int i = 0; i < l; i++) {
for (int j = 0; j < (1<<l); j++) {
if (j&(1<<i)) dp1[j] += dp1[j^(1<<i)], dp2[j] += dp2[j^(1<<i)];
}
}
while (q--) {
int cnt0 = 0, cnt1 = 0, cnt2 = 0, m1 = 0, m2 = 0, ans = 0;
cin >> t;
reverse(all(t));
for (int i = 0; i < l; i++) {
if (t[i] == '0') cnt0++;
else if (t[i] == '1') cnt1++;
else cnt2++;
}
// cout << cnt0 << ' ' << cnt1 << ' ' << cnt2 << '\n';
if (cnt0 <= min(cnt1, cnt2)) {
// cout << "HI1\n";
for (int i = 0; i < l; i++) {
if (t[i] == '0') m1 |= (1<<i);
else if (t[i] == '?') m2 |= (1<<i);
}
for (int sm = m1; sm; sm = (sm-1)&m1) {
if (__builtin_parity(m1^sm)) ans -= dp2[sm^m2];
else ans += dp2[sm^m2];
}
if (__builtin_parity(m1)) ans -= dp2[m2];
else ans += dp2[m2];
cout << ans << '\n';
}
else if (cnt1 <= min(cnt0, cnt2)) {
// cout << "HI2\n";
for (int i = 0; i < l; i++) {
if (t[i] == '1') m1 |= (1<<i);
else if (t[i] == '?') m2 |= (1<<i);
}
for (int sm = m1; sm; sm = (sm-1)&m1) {
if (__builtin_parity(m1^sm)) ans -= dp1[sm^m2];
else ans += dp1[sm^m2];
}
if (__builtin_parity(m1)) ans -= dp1[m2];
else ans += dp1[m2];
cout << ans << '\n';
}
else {
// cout << "HI3\n";
for (int i = 0; i < l; i++) {
if (t[i] == '?') m1 |= (1<<i);
else if (t[i] == '1') m2 |= (1<<i);
}
for (int sm = m1; sm; sm = (sm-1)&m1) ans += s[sm^m2]-'0';
ans += s[m2]-'0';
cout << ans << '\n';
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2444 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2444 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
177 ms |
17264 KB |
Output is correct |
12 |
Correct |
177 ms |
17168 KB |
Output is correct |
13 |
Correct |
208 ms |
16160 KB |
Output is correct |
14 |
Correct |
216 ms |
16292 KB |
Output is correct |
15 |
Correct |
190 ms |
17184 KB |
Output is correct |
16 |
Correct |
234 ms |
16392 KB |
Output is correct |
17 |
Correct |
225 ms |
16208 KB |
Output is correct |
18 |
Correct |
145 ms |
18580 KB |
Output is correct |
19 |
Correct |
173 ms |
15184 KB |
Output is correct |
20 |
Correct |
183 ms |
16916 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2444 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
177 ms |
17264 KB |
Output is correct |
12 |
Correct |
177 ms |
17168 KB |
Output is correct |
13 |
Correct |
208 ms |
16160 KB |
Output is correct |
14 |
Correct |
216 ms |
16292 KB |
Output is correct |
15 |
Correct |
190 ms |
17184 KB |
Output is correct |
16 |
Correct |
234 ms |
16392 KB |
Output is correct |
17 |
Correct |
225 ms |
16208 KB |
Output is correct |
18 |
Correct |
145 ms |
18580 KB |
Output is correct |
19 |
Correct |
173 ms |
15184 KB |
Output is correct |
20 |
Correct |
183 ms |
16916 KB |
Output is correct |
21 |
Correct |
198 ms |
20008 KB |
Output is correct |
22 |
Correct |
202 ms |
20276 KB |
Output is correct |
23 |
Correct |
263 ms |
19280 KB |
Output is correct |
24 |
Correct |
279 ms |
19024 KB |
Output is correct |
25 |
Correct |
232 ms |
21076 KB |
Output is correct |
26 |
Correct |
280 ms |
19540 KB |
Output is correct |
27 |
Correct |
274 ms |
19512 KB |
Output is correct |
28 |
Correct |
163 ms |
22312 KB |
Output is correct |
29 |
Correct |
196 ms |
18176 KB |
Output is correct |
30 |
Correct |
222 ms |
20172 KB |
Output is correct |
31 |
Correct |
250 ms |
20156 KB |
Output is correct |
32 |
Correct |
287 ms |
20044 KB |
Output is correct |
33 |
Correct |
227 ms |
19024 KB |
Output is correct |
34 |
Correct |
279 ms |
19024 KB |
Output is correct |
35 |
Correct |
280 ms |
19532 KB |
Output is correct |
36 |
Correct |
185 ms |
17988 KB |
Output is correct |
37 |
Correct |
188 ms |
20036 KB |
Output is correct |
38 |
Correct |
212 ms |
18020 KB |
Output is correct |
39 |
Correct |
248 ms |
19284 KB |
Output is correct |
40 |
Correct |
275 ms |
19024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2444 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
40 ms |
12020 KB |
Output is correct |
12 |
Correct |
35 ms |
12024 KB |
Output is correct |
13 |
Correct |
40 ms |
12272 KB |
Output is correct |
14 |
Correct |
46 ms |
12024 KB |
Output is correct |
15 |
Correct |
36 ms |
12016 KB |
Output is correct |
16 |
Correct |
44 ms |
12016 KB |
Output is correct |
17 |
Correct |
41 ms |
12020 KB |
Output is correct |
18 |
Correct |
33 ms |
12092 KB |
Output is correct |
19 |
Correct |
45 ms |
11864 KB |
Output is correct |
20 |
Correct |
34 ms |
12020 KB |
Output is correct |
21 |
Correct |
41 ms |
12016 KB |
Output is correct |
22 |
Correct |
47 ms |
12016 KB |
Output is correct |
23 |
Correct |
36 ms |
11776 KB |
Output is correct |
24 |
Correct |
45 ms |
12044 KB |
Output is correct |
25 |
Correct |
45 ms |
11956 KB |
Output is correct |
26 |
Correct |
30 ms |
11956 KB |
Output is correct |
27 |
Correct |
35 ms |
12024 KB |
Output is correct |
28 |
Correct |
35 ms |
11760 KB |
Output is correct |
29 |
Correct |
39 ms |
12016 KB |
Output is correct |
30 |
Correct |
43 ms |
12020 KB |
Output is correct |
31 |
Correct |
42 ms |
11760 KB |
Output is correct |
32 |
Correct |
45 ms |
12012 KB |
Output is correct |
33 |
Correct |
48 ms |
11852 KB |
Output is correct |
34 |
Correct |
30 ms |
11764 KB |
Output is correct |
35 |
Correct |
51 ms |
12020 KB |
Output is correct |
36 |
Correct |
40 ms |
12012 KB |
Output is correct |
37 |
Correct |
40 ms |
12016 KB |
Output is correct |
38 |
Correct |
42 ms |
12024 KB |
Output is correct |
39 |
Correct |
46 ms |
11852 KB |
Output is correct |
40 |
Correct |
39 ms |
11824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2444 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
177 ms |
17264 KB |
Output is correct |
12 |
Correct |
177 ms |
17168 KB |
Output is correct |
13 |
Correct |
208 ms |
16160 KB |
Output is correct |
14 |
Correct |
216 ms |
16292 KB |
Output is correct |
15 |
Correct |
190 ms |
17184 KB |
Output is correct |
16 |
Correct |
234 ms |
16392 KB |
Output is correct |
17 |
Correct |
225 ms |
16208 KB |
Output is correct |
18 |
Correct |
145 ms |
18580 KB |
Output is correct |
19 |
Correct |
173 ms |
15184 KB |
Output is correct |
20 |
Correct |
183 ms |
16916 KB |
Output is correct |
21 |
Correct |
198 ms |
20008 KB |
Output is correct |
22 |
Correct |
202 ms |
20276 KB |
Output is correct |
23 |
Correct |
263 ms |
19280 KB |
Output is correct |
24 |
Correct |
279 ms |
19024 KB |
Output is correct |
25 |
Correct |
232 ms |
21076 KB |
Output is correct |
26 |
Correct |
280 ms |
19540 KB |
Output is correct |
27 |
Correct |
274 ms |
19512 KB |
Output is correct |
28 |
Correct |
163 ms |
22312 KB |
Output is correct |
29 |
Correct |
196 ms |
18176 KB |
Output is correct |
30 |
Correct |
222 ms |
20172 KB |
Output is correct |
31 |
Correct |
250 ms |
20156 KB |
Output is correct |
32 |
Correct |
287 ms |
20044 KB |
Output is correct |
33 |
Correct |
227 ms |
19024 KB |
Output is correct |
34 |
Correct |
279 ms |
19024 KB |
Output is correct |
35 |
Correct |
280 ms |
19532 KB |
Output is correct |
36 |
Correct |
185 ms |
17988 KB |
Output is correct |
37 |
Correct |
188 ms |
20036 KB |
Output is correct |
38 |
Correct |
212 ms |
18020 KB |
Output is correct |
39 |
Correct |
248 ms |
19284 KB |
Output is correct |
40 |
Correct |
275 ms |
19024 KB |
Output is correct |
41 |
Correct |
40 ms |
12020 KB |
Output is correct |
42 |
Correct |
35 ms |
12024 KB |
Output is correct |
43 |
Correct |
40 ms |
12272 KB |
Output is correct |
44 |
Correct |
46 ms |
12024 KB |
Output is correct |
45 |
Correct |
36 ms |
12016 KB |
Output is correct |
46 |
Correct |
44 ms |
12016 KB |
Output is correct |
47 |
Correct |
41 ms |
12020 KB |
Output is correct |
48 |
Correct |
33 ms |
12092 KB |
Output is correct |
49 |
Correct |
45 ms |
11864 KB |
Output is correct |
50 |
Correct |
34 ms |
12020 KB |
Output is correct |
51 |
Correct |
41 ms |
12016 KB |
Output is correct |
52 |
Correct |
47 ms |
12016 KB |
Output is correct |
53 |
Correct |
36 ms |
11776 KB |
Output is correct |
54 |
Correct |
45 ms |
12044 KB |
Output is correct |
55 |
Correct |
45 ms |
11956 KB |
Output is correct |
56 |
Correct |
30 ms |
11956 KB |
Output is correct |
57 |
Correct |
35 ms |
12024 KB |
Output is correct |
58 |
Correct |
35 ms |
11760 KB |
Output is correct |
59 |
Correct |
39 ms |
12016 KB |
Output is correct |
60 |
Correct |
43 ms |
12020 KB |
Output is correct |
61 |
Correct |
42 ms |
11760 KB |
Output is correct |
62 |
Correct |
45 ms |
12012 KB |
Output is correct |
63 |
Correct |
48 ms |
11852 KB |
Output is correct |
64 |
Correct |
30 ms |
11764 KB |
Output is correct |
65 |
Correct |
51 ms |
12020 KB |
Output is correct |
66 |
Correct |
40 ms |
12012 KB |
Output is correct |
67 |
Correct |
40 ms |
12016 KB |
Output is correct |
68 |
Correct |
42 ms |
12024 KB |
Output is correct |
69 |
Correct |
46 ms |
11852 KB |
Output is correct |
70 |
Correct |
39 ms |
11824 KB |
Output is correct |
71 |
Correct |
290 ms |
36196 KB |
Output is correct |
72 |
Correct |
300 ms |
36596 KB |
Output is correct |
73 |
Correct |
395 ms |
34804 KB |
Output is correct |
74 |
Correct |
505 ms |
35292 KB |
Output is correct |
75 |
Correct |
322 ms |
37368 KB |
Output is correct |
76 |
Correct |
528 ms |
35584 KB |
Output is correct |
77 |
Correct |
451 ms |
35324 KB |
Output is correct |
78 |
Correct |
208 ms |
38908 KB |
Output is correct |
79 |
Correct |
285 ms |
33596 KB |
Output is correct |
80 |
Correct |
291 ms |
36336 KB |
Output is correct |
81 |
Correct |
388 ms |
36284 KB |
Output is correct |
82 |
Correct |
522 ms |
35316 KB |
Output is correct |
83 |
Correct |
301 ms |
34288 KB |
Output is correct |
84 |
Correct |
477 ms |
35280 KB |
Output is correct |
85 |
Correct |
446 ms |
35448 KB |
Output is correct |
86 |
Correct |
203 ms |
33188 KB |
Output is correct |
87 |
Correct |
288 ms |
36512 KB |
Output is correct |
88 |
Correct |
285 ms |
33096 KB |
Output is correct |
89 |
Correct |
378 ms |
34808 KB |
Output is correct |
90 |
Correct |
442 ms |
35232 KB |
Output is correct |
91 |
Correct |
315 ms |
34348 KB |
Output is correct |
92 |
Correct |
527 ms |
35700 KB |
Output is correct |
93 |
Correct |
430 ms |
35328 KB |
Output is correct |
94 |
Correct |
187 ms |
33324 KB |
Output is correct |
95 |
Correct |
423 ms |
35316 KB |
Output is correct |
96 |
Correct |
399 ms |
35316 KB |
Output is correct |
97 |
Correct |
387 ms |
35616 KB |
Output is correct |
98 |
Correct |
383 ms |
35316 KB |
Output is correct |
99 |
Correct |
388 ms |
35268 KB |
Output is correct |
100 |
Correct |
390 ms |
35796 KB |
Output is correct |