// #cheat_when_I_was_young
// #cheatkhitacontre #khionhatoicheat
// #thaycuckythatvong
#include "bits/stdc++.h"
using namespace std;
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const int N = 1<<20;
int n, q, dp[N], sup[N];
string s, t;
int backtrack1(int idx, int num) {
if (idx == n) return s[num];
if (t[idx] == '0') return backtrack1(idx+1, num);
if (t[idx] == '1') return backtrack1(idx+1, num | (1<<idx));
return backtrack1(idx+1, num) + backtrack1(idx+1, num | (1<<idx));
}
int backtrack2(int idx, int num, int change) {
if (idx == n) {
if (change % 2) return -dp[num];
return dp[num];
}
if (t[idx] == '0') return backtrack2(idx+1, num, change);
if (t[idx] == '?') return backtrack2(idx+1, num | (1<<idx), change);
return backtrack2(idx+1, num, change+1) + backtrack2(idx+1, num | (1<<idx), change);
}
int backtrack3(int idx, int num, int change) {
if (idx == n) {
if (change % 2) return -sup[num];
return sup[num];
}
if (t[idx] == '1') return backtrack3(idx+1, num | (1<<idx), change);
if (t[idx] == '?') return backtrack3(idx+1, num, change);
return backtrack3(idx+1, num, change) + backtrack3(idx+1, num | (1<<idx), change+1);
}
signed main() {
IOS;
cin >> n >> q >> s;
for (int mask = 0; mask < 1<<n; ++mask) {
s[mask] -= '0';
dp[mask] = sup[mask] = s[mask];
}
for (int i = n-1; i >= 0; --i) for (int mask = 0; mask < 1<<n; ++mask) if (mask & (1<<i)) dp[mask] += dp[mask^(1<<i)];
for (int i = n-1; i >= 0; --i) for (int mask = (1<<n)-1; mask >= 0; --mask) if (!(mask & (1<<i))) sup[mask] += sup[mask^(1<<i)];
while (q--) {
cin >> t;
reverse(t.begin(), t.end());
int cnt[] = {0, 0, 0};
for (char &c: t) {
if (c == '0') ++cnt[0];
else if (c == '1') ++cnt[1];
else ++cnt[2];
}
int mi = *min_element(cnt, cnt+3);
if (cnt[2] == mi) cout << backtrack1(0, 0) << "\n";
else if (cnt[1] == mi) cout << backtrack2(0, 0, 0) << "\n";
else cout << backtrack3(0, 0, 0) << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
192 ms |
5052 KB |
Output is correct |
12 |
Correct |
231 ms |
4684 KB |
Output is correct |
13 |
Correct |
309 ms |
3996 KB |
Output is correct |
14 |
Correct |
386 ms |
4108 KB |
Output is correct |
15 |
Correct |
261 ms |
5024 KB |
Output is correct |
16 |
Correct |
354 ms |
4248 KB |
Output is correct |
17 |
Correct |
333 ms |
4260 KB |
Output is correct |
18 |
Correct |
147 ms |
6016 KB |
Output is correct |
19 |
Correct |
184 ms |
3056 KB |
Output is correct |
20 |
Correct |
228 ms |
4776 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
192 ms |
5052 KB |
Output is correct |
12 |
Correct |
231 ms |
4684 KB |
Output is correct |
13 |
Correct |
309 ms |
3996 KB |
Output is correct |
14 |
Correct |
386 ms |
4108 KB |
Output is correct |
15 |
Correct |
261 ms |
5024 KB |
Output is correct |
16 |
Correct |
354 ms |
4248 KB |
Output is correct |
17 |
Correct |
333 ms |
4260 KB |
Output is correct |
18 |
Correct |
147 ms |
6016 KB |
Output is correct |
19 |
Correct |
184 ms |
3056 KB |
Output is correct |
20 |
Correct |
228 ms |
4776 KB |
Output is correct |
21 |
Correct |
254 ms |
5184 KB |
Output is correct |
22 |
Correct |
262 ms |
5224 KB |
Output is correct |
23 |
Correct |
430 ms |
4256 KB |
Output is correct |
24 |
Correct |
619 ms |
4100 KB |
Output is correct |
25 |
Correct |
306 ms |
6164 KB |
Output is correct |
26 |
Correct |
528 ms |
4608 KB |
Output is correct |
27 |
Correct |
471 ms |
4564 KB |
Output is correct |
28 |
Correct |
156 ms |
7112 KB |
Output is correct |
29 |
Correct |
244 ms |
3148 KB |
Output is correct |
30 |
Correct |
269 ms |
5296 KB |
Output is correct |
31 |
Correct |
408 ms |
5072 KB |
Output is correct |
32 |
Correct |
596 ms |
5156 KB |
Output is correct |
33 |
Correct |
312 ms |
4064 KB |
Output is correct |
34 |
Correct |
532 ms |
4160 KB |
Output is correct |
35 |
Correct |
464 ms |
4540 KB |
Output is correct |
36 |
Correct |
159 ms |
3236 KB |
Output is correct |
37 |
Correct |
243 ms |
5152 KB |
Output is correct |
38 |
Correct |
274 ms |
3116 KB |
Output is correct |
39 |
Correct |
414 ms |
4288 KB |
Output is correct |
40 |
Correct |
609 ms |
4084 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
55 ms |
11956 KB |
Output is correct |
12 |
Correct |
65 ms |
11996 KB |
Output is correct |
13 |
Correct |
79 ms |
11848 KB |
Output is correct |
14 |
Correct |
106 ms |
11852 KB |
Output is correct |
15 |
Correct |
61 ms |
11964 KB |
Output is correct |
16 |
Correct |
100 ms |
11888 KB |
Output is correct |
17 |
Correct |
93 ms |
11820 KB |
Output is correct |
18 |
Correct |
47 ms |
12144 KB |
Output is correct |
19 |
Correct |
54 ms |
11720 KB |
Output is correct |
20 |
Correct |
55 ms |
11884 KB |
Output is correct |
21 |
Correct |
80 ms |
11908 KB |
Output is correct |
22 |
Correct |
113 ms |
11956 KB |
Output is correct |
23 |
Correct |
65 ms |
11836 KB |
Output is correct |
24 |
Correct |
101 ms |
11848 KB |
Output is correct |
25 |
Correct |
88 ms |
11836 KB |
Output is correct |
26 |
Correct |
47 ms |
11708 KB |
Output is correct |
27 |
Correct |
54 ms |
11956 KB |
Output is correct |
28 |
Correct |
57 ms |
11724 KB |
Output is correct |
29 |
Correct |
81 ms |
11884 KB |
Output is correct |
30 |
Correct |
111 ms |
11884 KB |
Output is correct |
31 |
Correct |
64 ms |
11812 KB |
Output is correct |
32 |
Correct |
98 ms |
11876 KB |
Output is correct |
33 |
Correct |
89 ms |
11832 KB |
Output is correct |
34 |
Correct |
47 ms |
11720 KB |
Output is correct |
35 |
Correct |
76 ms |
11884 KB |
Output is correct |
36 |
Correct |
79 ms |
11836 KB |
Output is correct |
37 |
Correct |
77 ms |
11872 KB |
Output is correct |
38 |
Correct |
75 ms |
11836 KB |
Output is correct |
39 |
Correct |
76 ms |
11832 KB |
Output is correct |
40 |
Correct |
76 ms |
11904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
192 ms |
5052 KB |
Output is correct |
12 |
Correct |
231 ms |
4684 KB |
Output is correct |
13 |
Correct |
309 ms |
3996 KB |
Output is correct |
14 |
Correct |
386 ms |
4108 KB |
Output is correct |
15 |
Correct |
261 ms |
5024 KB |
Output is correct |
16 |
Correct |
354 ms |
4248 KB |
Output is correct |
17 |
Correct |
333 ms |
4260 KB |
Output is correct |
18 |
Correct |
147 ms |
6016 KB |
Output is correct |
19 |
Correct |
184 ms |
3056 KB |
Output is correct |
20 |
Correct |
228 ms |
4776 KB |
Output is correct |
21 |
Correct |
254 ms |
5184 KB |
Output is correct |
22 |
Correct |
262 ms |
5224 KB |
Output is correct |
23 |
Correct |
430 ms |
4256 KB |
Output is correct |
24 |
Correct |
619 ms |
4100 KB |
Output is correct |
25 |
Correct |
306 ms |
6164 KB |
Output is correct |
26 |
Correct |
528 ms |
4608 KB |
Output is correct |
27 |
Correct |
471 ms |
4564 KB |
Output is correct |
28 |
Correct |
156 ms |
7112 KB |
Output is correct |
29 |
Correct |
244 ms |
3148 KB |
Output is correct |
30 |
Correct |
269 ms |
5296 KB |
Output is correct |
31 |
Correct |
408 ms |
5072 KB |
Output is correct |
32 |
Correct |
596 ms |
5156 KB |
Output is correct |
33 |
Correct |
312 ms |
4064 KB |
Output is correct |
34 |
Correct |
532 ms |
4160 KB |
Output is correct |
35 |
Correct |
464 ms |
4540 KB |
Output is correct |
36 |
Correct |
159 ms |
3236 KB |
Output is correct |
37 |
Correct |
243 ms |
5152 KB |
Output is correct |
38 |
Correct |
274 ms |
3116 KB |
Output is correct |
39 |
Correct |
414 ms |
4288 KB |
Output is correct |
40 |
Correct |
609 ms |
4084 KB |
Output is correct |
41 |
Correct |
55 ms |
11956 KB |
Output is correct |
42 |
Correct |
65 ms |
11996 KB |
Output is correct |
43 |
Correct |
79 ms |
11848 KB |
Output is correct |
44 |
Correct |
106 ms |
11852 KB |
Output is correct |
45 |
Correct |
61 ms |
11964 KB |
Output is correct |
46 |
Correct |
100 ms |
11888 KB |
Output is correct |
47 |
Correct |
93 ms |
11820 KB |
Output is correct |
48 |
Correct |
47 ms |
12144 KB |
Output is correct |
49 |
Correct |
54 ms |
11720 KB |
Output is correct |
50 |
Correct |
55 ms |
11884 KB |
Output is correct |
51 |
Correct |
80 ms |
11908 KB |
Output is correct |
52 |
Correct |
113 ms |
11956 KB |
Output is correct |
53 |
Correct |
65 ms |
11836 KB |
Output is correct |
54 |
Correct |
101 ms |
11848 KB |
Output is correct |
55 |
Correct |
88 ms |
11836 KB |
Output is correct |
56 |
Correct |
47 ms |
11708 KB |
Output is correct |
57 |
Correct |
54 ms |
11956 KB |
Output is correct |
58 |
Correct |
57 ms |
11724 KB |
Output is correct |
59 |
Correct |
81 ms |
11884 KB |
Output is correct |
60 |
Correct |
111 ms |
11884 KB |
Output is correct |
61 |
Correct |
64 ms |
11812 KB |
Output is correct |
62 |
Correct |
98 ms |
11876 KB |
Output is correct |
63 |
Correct |
89 ms |
11832 KB |
Output is correct |
64 |
Correct |
47 ms |
11720 KB |
Output is correct |
65 |
Correct |
76 ms |
11884 KB |
Output is correct |
66 |
Correct |
79 ms |
11836 KB |
Output is correct |
67 |
Correct |
77 ms |
11872 KB |
Output is correct |
68 |
Correct |
75 ms |
11836 KB |
Output is correct |
69 |
Correct |
76 ms |
11832 KB |
Output is correct |
70 |
Correct |
76 ms |
11904 KB |
Output is correct |
71 |
Correct |
383 ms |
36296 KB |
Output is correct |
72 |
Correct |
387 ms |
36404 KB |
Output is correct |
73 |
Correct |
854 ms |
34924 KB |
Output is correct |
74 |
Correct |
1432 ms |
35252 KB |
Output is correct |
75 |
Correct |
501 ms |
37248 KB |
Output is correct |
76 |
Correct |
1259 ms |
35624 KB |
Output is correct |
77 |
Correct |
1057 ms |
35352 KB |
Output is correct |
78 |
Correct |
215 ms |
39268 KB |
Output is correct |
79 |
Correct |
369 ms |
33208 KB |
Output is correct |
80 |
Correct |
383 ms |
36300 KB |
Output is correct |
81 |
Correct |
794 ms |
36192 KB |
Output is correct |
82 |
Correct |
1383 ms |
35264 KB |
Output is correct |
83 |
Correct |
519 ms |
34492 KB |
Output is correct |
84 |
Correct |
1254 ms |
35276 KB |
Output is correct |
85 |
Correct |
1047 ms |
35388 KB |
Output is correct |
86 |
Correct |
217 ms |
33188 KB |
Output is correct |
87 |
Correct |
394 ms |
36380 KB |
Output is correct |
88 |
Correct |
412 ms |
33204 KB |
Output is correct |
89 |
Correct |
835 ms |
35000 KB |
Output is correct |
90 |
Correct |
1454 ms |
35320 KB |
Output is correct |
91 |
Correct |
550 ms |
34488 KB |
Output is correct |
92 |
Correct |
1276 ms |
35632 KB |
Output is correct |
93 |
Correct |
1069 ms |
35440 KB |
Output is correct |
94 |
Correct |
205 ms |
33244 KB |
Output is correct |
95 |
Correct |
795 ms |
35312 KB |
Output is correct |
96 |
Correct |
816 ms |
35440 KB |
Output is correct |
97 |
Correct |
825 ms |
35272 KB |
Output is correct |
98 |
Correct |
816 ms |
35324 KB |
Output is correct |
99 |
Correct |
810 ms |
35248 KB |
Output is correct |
100 |
Correct |
819 ms |
35352 KB |
Output is correct |