//InTheNameOfGOD
//PRS;)
#include<iostream>
#define Fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
using namespace std;
typedef int ll;
const ll xn = (1 << 20) + 5;
ll dp[xn][2], a[xn], cnt[xn];
int main()
{
Fast
ll n, q;
cin >> n >> q;
for(ll i = 1; i < (1 << n); i++) cnt[i] = cnt[i - (i & -i)] + 1;
for(ll i = 0; i < (1 << n); i++)
{
char c;
cin >> c;
dp[i][0] = dp[i][1] = a[i] = c - '0';
}
for(ll j = 0; j < n; j++) for(ll i = 0; i < (1 << n); i++)
if((i >> j) & 1) dp[i][0] += dp[i ^ (1 << j)][0], dp[i ^ (1 << j)][1] += dp[i][1];
while(q--)
{
ll t0 = 0, t1 = 0, t2 = 0, ans = 0;
for(ll i = 0, j = n - 1; i < n; i++, j--)
{
char c;
cin >> c;
if(c == '0') t0 |= (1 << j);
if(c == '1') t1 |= (1 << j);
if(c == '?') t2 |= (1 << j);
}
if(cnt[t0] <= n / 3)
{
for(ll prs = t0; ;prs = t0 & (prs - 1))
{
(cnt[prs] & 1) ? ans -= dp[t1 | prs][1] : ans += dp[t1 | prs][1];
if(!prs) break;
}
}
else if(cnt[t1] <= n / 3)
{
for(ll prs = t1; ;prs = t1 & (prs - 1))
{
(cnt[prs ^ t1] & 1) ? ans -= dp[t2 | prs][0] : ans += dp[t2 | prs][0];
if(!prs) break;
}
}
else
{
for(ll prs = t2; ;prs= t2 & (prs - 1))
{
ans += a[t1 | prs];
if(!prs) break;
}
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
368 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
368 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
11 |
Correct |
325 ms |
4428 KB |
Output is correct |
12 |
Correct |
363 ms |
4016 KB |
Output is correct |
13 |
Correct |
394 ms |
3224 KB |
Output is correct |
14 |
Correct |
425 ms |
3360 KB |
Output is correct |
15 |
Correct |
334 ms |
4336 KB |
Output is correct |
16 |
Correct |
406 ms |
3500 KB |
Output is correct |
17 |
Correct |
410 ms |
3392 KB |
Output is correct |
18 |
Correct |
250 ms |
5304 KB |
Output is correct |
19 |
Correct |
321 ms |
2236 KB |
Output is correct |
20 |
Correct |
351 ms |
3920 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
368 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
11 |
Correct |
325 ms |
4428 KB |
Output is correct |
12 |
Correct |
363 ms |
4016 KB |
Output is correct |
13 |
Correct |
394 ms |
3224 KB |
Output is correct |
14 |
Correct |
425 ms |
3360 KB |
Output is correct |
15 |
Correct |
334 ms |
4336 KB |
Output is correct |
16 |
Correct |
406 ms |
3500 KB |
Output is correct |
17 |
Correct |
410 ms |
3392 KB |
Output is correct |
18 |
Correct |
250 ms |
5304 KB |
Output is correct |
19 |
Correct |
321 ms |
2236 KB |
Output is correct |
20 |
Correct |
351 ms |
3920 KB |
Output is correct |
21 |
Correct |
406 ms |
4432 KB |
Output is correct |
22 |
Correct |
431 ms |
4524 KB |
Output is correct |
23 |
Correct |
499 ms |
3564 KB |
Output is correct |
24 |
Correct |
510 ms |
3460 KB |
Output is correct |
25 |
Correct |
416 ms |
5408 KB |
Output is correct |
26 |
Correct |
479 ms |
3900 KB |
Output is correct |
27 |
Correct |
482 ms |
3820 KB |
Output is correct |
28 |
Correct |
326 ms |
6364 KB |
Output is correct |
29 |
Correct |
399 ms |
2412 KB |
Output is correct |
30 |
Correct |
366 ms |
4556 KB |
Output is correct |
31 |
Correct |
417 ms |
4476 KB |
Output is correct |
32 |
Correct |
451 ms |
4424 KB |
Output is correct |
33 |
Correct |
359 ms |
3364 KB |
Output is correct |
34 |
Correct |
447 ms |
3404 KB |
Output is correct |
35 |
Correct |
474 ms |
3912 KB |
Output is correct |
36 |
Correct |
255 ms |
2376 KB |
Output is correct |
37 |
Correct |
405 ms |
4404 KB |
Output is correct |
38 |
Correct |
378 ms |
2512 KB |
Output is correct |
39 |
Correct |
426 ms |
3564 KB |
Output is correct |
40 |
Correct |
478 ms |
3468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
368 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
11 |
Correct |
79 ms |
18556 KB |
Output is correct |
12 |
Correct |
82 ms |
18552 KB |
Output is correct |
13 |
Correct |
98 ms |
18492 KB |
Output is correct |
14 |
Correct |
124 ms |
18524 KB |
Output is correct |
15 |
Correct |
83 ms |
18624 KB |
Output is correct |
16 |
Correct |
110 ms |
18504 KB |
Output is correct |
17 |
Correct |
124 ms |
18508 KB |
Output is correct |
18 |
Correct |
66 ms |
18748 KB |
Output is correct |
19 |
Correct |
83 ms |
18436 KB |
Output is correct |
20 |
Correct |
92 ms |
18588 KB |
Output is correct |
21 |
Correct |
94 ms |
18616 KB |
Output is correct |
22 |
Correct |
116 ms |
18488 KB |
Output is correct |
23 |
Correct |
77 ms |
18380 KB |
Output is correct |
24 |
Correct |
134 ms |
18484 KB |
Output is correct |
25 |
Correct |
106 ms |
18500 KB |
Output is correct |
26 |
Correct |
64 ms |
18380 KB |
Output is correct |
27 |
Correct |
79 ms |
18552 KB |
Output is correct |
28 |
Correct |
95 ms |
18332 KB |
Output is correct |
29 |
Correct |
87 ms |
18508 KB |
Output is correct |
30 |
Correct |
118 ms |
18548 KB |
Output is correct |
31 |
Correct |
83 ms |
18444 KB |
Output is correct |
32 |
Correct |
109 ms |
18508 KB |
Output is correct |
33 |
Correct |
111 ms |
18488 KB |
Output is correct |
34 |
Correct |
78 ms |
18360 KB |
Output is correct |
35 |
Correct |
101 ms |
18480 KB |
Output is correct |
36 |
Correct |
92 ms |
18536 KB |
Output is correct |
37 |
Correct |
97 ms |
18520 KB |
Output is correct |
38 |
Correct |
123 ms |
18508 KB |
Output is correct |
39 |
Correct |
90 ms |
18504 KB |
Output is correct |
40 |
Correct |
101 ms |
18476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
368 KB |
Output is correct |
3 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
11 |
Correct |
325 ms |
4428 KB |
Output is correct |
12 |
Correct |
363 ms |
4016 KB |
Output is correct |
13 |
Correct |
394 ms |
3224 KB |
Output is correct |
14 |
Correct |
425 ms |
3360 KB |
Output is correct |
15 |
Correct |
334 ms |
4336 KB |
Output is correct |
16 |
Correct |
406 ms |
3500 KB |
Output is correct |
17 |
Correct |
410 ms |
3392 KB |
Output is correct |
18 |
Correct |
250 ms |
5304 KB |
Output is correct |
19 |
Correct |
321 ms |
2236 KB |
Output is correct |
20 |
Correct |
351 ms |
3920 KB |
Output is correct |
21 |
Correct |
406 ms |
4432 KB |
Output is correct |
22 |
Correct |
431 ms |
4524 KB |
Output is correct |
23 |
Correct |
499 ms |
3564 KB |
Output is correct |
24 |
Correct |
510 ms |
3460 KB |
Output is correct |
25 |
Correct |
416 ms |
5408 KB |
Output is correct |
26 |
Correct |
479 ms |
3900 KB |
Output is correct |
27 |
Correct |
482 ms |
3820 KB |
Output is correct |
28 |
Correct |
326 ms |
6364 KB |
Output is correct |
29 |
Correct |
399 ms |
2412 KB |
Output is correct |
30 |
Correct |
366 ms |
4556 KB |
Output is correct |
31 |
Correct |
417 ms |
4476 KB |
Output is correct |
32 |
Correct |
451 ms |
4424 KB |
Output is correct |
33 |
Correct |
359 ms |
3364 KB |
Output is correct |
34 |
Correct |
447 ms |
3404 KB |
Output is correct |
35 |
Correct |
474 ms |
3912 KB |
Output is correct |
36 |
Correct |
255 ms |
2376 KB |
Output is correct |
37 |
Correct |
405 ms |
4404 KB |
Output is correct |
38 |
Correct |
378 ms |
2512 KB |
Output is correct |
39 |
Correct |
426 ms |
3564 KB |
Output is correct |
40 |
Correct |
478 ms |
3468 KB |
Output is correct |
41 |
Correct |
79 ms |
18556 KB |
Output is correct |
42 |
Correct |
82 ms |
18552 KB |
Output is correct |
43 |
Correct |
98 ms |
18492 KB |
Output is correct |
44 |
Correct |
124 ms |
18524 KB |
Output is correct |
45 |
Correct |
83 ms |
18624 KB |
Output is correct |
46 |
Correct |
110 ms |
18504 KB |
Output is correct |
47 |
Correct |
124 ms |
18508 KB |
Output is correct |
48 |
Correct |
66 ms |
18748 KB |
Output is correct |
49 |
Correct |
83 ms |
18436 KB |
Output is correct |
50 |
Correct |
92 ms |
18588 KB |
Output is correct |
51 |
Correct |
94 ms |
18616 KB |
Output is correct |
52 |
Correct |
116 ms |
18488 KB |
Output is correct |
53 |
Correct |
77 ms |
18380 KB |
Output is correct |
54 |
Correct |
134 ms |
18484 KB |
Output is correct |
55 |
Correct |
106 ms |
18500 KB |
Output is correct |
56 |
Correct |
64 ms |
18380 KB |
Output is correct |
57 |
Correct |
79 ms |
18552 KB |
Output is correct |
58 |
Correct |
95 ms |
18332 KB |
Output is correct |
59 |
Correct |
87 ms |
18508 KB |
Output is correct |
60 |
Correct |
118 ms |
18548 KB |
Output is correct |
61 |
Correct |
83 ms |
18444 KB |
Output is correct |
62 |
Correct |
109 ms |
18508 KB |
Output is correct |
63 |
Correct |
111 ms |
18488 KB |
Output is correct |
64 |
Correct |
78 ms |
18360 KB |
Output is correct |
65 |
Correct |
101 ms |
18480 KB |
Output is correct |
66 |
Correct |
92 ms |
18536 KB |
Output is correct |
67 |
Correct |
97 ms |
18520 KB |
Output is correct |
68 |
Correct |
123 ms |
18508 KB |
Output is correct |
69 |
Correct |
90 ms |
18504 KB |
Output is correct |
70 |
Correct |
101 ms |
18476 KB |
Output is correct |
71 |
Correct |
647 ms |
21740 KB |
Output is correct |
72 |
Correct |
708 ms |
21920 KB |
Output is correct |
73 |
Correct |
1038 ms |
20348 KB |
Output is correct |
74 |
Correct |
1312 ms |
20752 KB |
Output is correct |
75 |
Correct |
659 ms |
22756 KB |
Output is correct |
76 |
Correct |
1316 ms |
21100 KB |
Output is correct |
77 |
Correct |
1100 ms |
20952 KB |
Output is correct |
78 |
Correct |
385 ms |
24716 KB |
Output is correct |
79 |
Correct |
557 ms |
18704 KB |
Output is correct |
80 |
Correct |
558 ms |
21960 KB |
Output is correct |
81 |
Correct |
769 ms |
21772 KB |
Output is correct |
82 |
Correct |
1054 ms |
20756 KB |
Output is correct |
83 |
Correct |
539 ms |
19872 KB |
Output is correct |
84 |
Correct |
1147 ms |
20788 KB |
Output is correct |
85 |
Correct |
1079 ms |
20964 KB |
Output is correct |
86 |
Correct |
385 ms |
18728 KB |
Output is correct |
87 |
Correct |
706 ms |
21836 KB |
Output is correct |
88 |
Correct |
617 ms |
18816 KB |
Output is correct |
89 |
Correct |
782 ms |
20544 KB |
Output is correct |
90 |
Correct |
892 ms |
20692 KB |
Output is correct |
91 |
Correct |
732 ms |
19952 KB |
Output is correct |
92 |
Correct |
1193 ms |
21080 KB |
Output is correct |
93 |
Correct |
1040 ms |
20924 KB |
Output is correct |
94 |
Correct |
359 ms |
18684 KB |
Output is correct |
95 |
Correct |
855 ms |
20880 KB |
Output is correct |
96 |
Correct |
843 ms |
20940 KB |
Output is correct |
97 |
Correct |
843 ms |
20832 KB |
Output is correct |
98 |
Correct |
875 ms |
20896 KB |
Output is correct |
99 |
Correct |
870 ms |
20776 KB |
Output is correct |
100 |
Correct |
827 ms |
20888 KB |
Output is correct |