#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
int main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int n,q;cin>>n>>q;
vector<int> normal(1<<n);
vector<int> sum1(1<<n);
vector<int> sum0(1<<n);
string s;cin>>s;
for(int i=0;i<(1<<n);i++){
normal[i] = s[i]-'0';
sum1[i]=normal[i];
sum0[i]=normal[i];
}
for(int j=0;j<n;j++){
for(int i=0;i<(1<<n);i++){
if((i>>j)&1) sum1[i]+=sum1[i^(1<<j)];
}
}
for(int j=0;j<n;j++){
for(int i=(1<<n)-1;i>=0;i--){
if(!((i>>j)&1)) sum0[i]+=sum0[i^(1<<j)];
}
}
while(q--){
string qs;cin>>qs;
int cnt0=0;
int cnt1=0;
int cntq=0;
for(int i=0;i<n;i++){
cnt0+=(qs[i]=='0');
cnt1+=(qs[i]=='1');
cntq+=(qs[i]=='?');
}
if(cnt0<=cnt1 && cnt0<=cntq){
int calc = 0;
vector<int> b;
for(int i=0;i<n;i++){
if(qs[i]=='1') calc+=(1<<(n-1-i));
if(qs[i]=='0') b.push_back(i);
}
int ans = 0;
for(int mask=0;mask<(1<<cnt0);mask++){
int f = calc;
int cntbit=0;
for(int i=0;i<cnt0;i++) if((mask>>i)&1){f+=(1<<(n-1-b[i]));cntbit++;}
ans+=(((cntbit)&1)?(-1):(1))*sum0[f];
}
cout<<ans<<"\n";
continue;
}
if(cnt1<=cnt0 && cnt1<=cntq){
int calc = 0;
vector<int> b;
for(int i=0;i<n;i++){
if(qs[i]=='?') calc+=(1<<(n-1-i));
if(qs[i]=='1') b.push_back(i);
}
int ans = 0;
for(int mask=0;mask<(1<<cnt1);mask++){
int f = calc;
int cntbit=0;
for(int i=0;i<cnt1;i++) if((mask>>i)&1){f+=(1<<(n-1-b[i]));cntbit++;}
ans+=(((cnt1^cntbit)&1)?(-1):(1))*sum1[f];
}
cout<<ans<<"\n";
continue;
}
if(cntq<=cnt1 && cntq<=cnt0){
int calc = 0;
vector<int> b;
for(int i=0;i<n;i++){
if(qs[i]=='1') calc+=(1<<(n-1-i));
if(qs[i]=='?') b.push_back(i);
}
int ans = 0;
for(int mask=0;mask<(1<<cntq);mask++){
int f = calc;
for(int i=0;i<cntq;i++) if((mask>>i)&1) f+=(1<<(n-1-b[i]));
ans+=normal[f];
}
cout<<ans<<"\n";
continue;
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
186 ms |
15108 KB |
Output is correct |
12 |
Correct |
193 ms |
14676 KB |
Output is correct |
13 |
Correct |
263 ms |
13904 KB |
Output is correct |
14 |
Correct |
313 ms |
14276 KB |
Output is correct |
15 |
Correct |
243 ms |
15184 KB |
Output is correct |
16 |
Correct |
306 ms |
14360 KB |
Output is correct |
17 |
Correct |
292 ms |
14160 KB |
Output is correct |
18 |
Correct |
153 ms |
16208 KB |
Output is correct |
19 |
Correct |
180 ms |
13136 KB |
Output is correct |
20 |
Correct |
191 ms |
14928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
186 ms |
15108 KB |
Output is correct |
12 |
Correct |
193 ms |
14676 KB |
Output is correct |
13 |
Correct |
263 ms |
13904 KB |
Output is correct |
14 |
Correct |
313 ms |
14276 KB |
Output is correct |
15 |
Correct |
243 ms |
15184 KB |
Output is correct |
16 |
Correct |
306 ms |
14360 KB |
Output is correct |
17 |
Correct |
292 ms |
14160 KB |
Output is correct |
18 |
Correct |
153 ms |
16208 KB |
Output is correct |
19 |
Correct |
180 ms |
13136 KB |
Output is correct |
20 |
Correct |
191 ms |
14928 KB |
Output is correct |
21 |
Correct |
214 ms |
18228 KB |
Output is correct |
22 |
Correct |
227 ms |
18256 KB |
Output is correct |
23 |
Correct |
334 ms |
17232 KB |
Output is correct |
24 |
Correct |
382 ms |
17232 KB |
Output is correct |
25 |
Correct |
290 ms |
19268 KB |
Output is correct |
26 |
Correct |
389 ms |
18000 KB |
Output is correct |
27 |
Correct |
370 ms |
17680 KB |
Output is correct |
28 |
Correct |
160 ms |
20048 KB |
Output is correct |
29 |
Correct |
208 ms |
16212 KB |
Output is correct |
30 |
Correct |
223 ms |
18392 KB |
Output is correct |
31 |
Correct |
336 ms |
18256 KB |
Output is correct |
32 |
Correct |
397 ms |
18124 KB |
Output is correct |
33 |
Correct |
299 ms |
17232 KB |
Output is correct |
34 |
Correct |
379 ms |
17304 KB |
Output is correct |
35 |
Correct |
359 ms |
17664 KB |
Output is correct |
36 |
Correct |
152 ms |
16208 KB |
Output is correct |
37 |
Correct |
210 ms |
18184 KB |
Output is correct |
38 |
Correct |
222 ms |
16208 KB |
Output is correct |
39 |
Correct |
343 ms |
17368 KB |
Output is correct |
40 |
Correct |
393 ms |
17072 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
55 ms |
16116 KB |
Output is correct |
12 |
Correct |
62 ms |
16208 KB |
Output is correct |
13 |
Correct |
70 ms |
16116 KB |
Output is correct |
14 |
Correct |
94 ms |
16116 KB |
Output is correct |
15 |
Correct |
59 ms |
16216 KB |
Output is correct |
16 |
Correct |
86 ms |
16116 KB |
Output is correct |
17 |
Correct |
78 ms |
16116 KB |
Output is correct |
18 |
Correct |
50 ms |
16272 KB |
Output is correct |
19 |
Correct |
56 ms |
16220 KB |
Output is correct |
20 |
Correct |
55 ms |
16116 KB |
Output is correct |
21 |
Correct |
66 ms |
16120 KB |
Output is correct |
22 |
Correct |
90 ms |
16116 KB |
Output is correct |
23 |
Correct |
63 ms |
16116 KB |
Output is correct |
24 |
Correct |
84 ms |
16116 KB |
Output is correct |
25 |
Correct |
77 ms |
16116 KB |
Output is correct |
26 |
Correct |
51 ms |
16116 KB |
Output is correct |
27 |
Correct |
60 ms |
16116 KB |
Output is correct |
28 |
Correct |
57 ms |
16116 KB |
Output is correct |
29 |
Correct |
68 ms |
16120 KB |
Output is correct |
30 |
Correct |
88 ms |
16116 KB |
Output is correct |
31 |
Correct |
62 ms |
16116 KB |
Output is correct |
32 |
Correct |
84 ms |
16116 KB |
Output is correct |
33 |
Correct |
86 ms |
16116 KB |
Output is correct |
34 |
Correct |
54 ms |
16120 KB |
Output is correct |
35 |
Correct |
69 ms |
16124 KB |
Output is correct |
36 |
Correct |
69 ms |
16116 KB |
Output is correct |
37 |
Correct |
75 ms |
16116 KB |
Output is correct |
38 |
Correct |
71 ms |
16116 KB |
Output is correct |
39 |
Correct |
77 ms |
16116 KB |
Output is correct |
40 |
Correct |
77 ms |
16116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
186 ms |
15108 KB |
Output is correct |
12 |
Correct |
193 ms |
14676 KB |
Output is correct |
13 |
Correct |
263 ms |
13904 KB |
Output is correct |
14 |
Correct |
313 ms |
14276 KB |
Output is correct |
15 |
Correct |
243 ms |
15184 KB |
Output is correct |
16 |
Correct |
306 ms |
14360 KB |
Output is correct |
17 |
Correct |
292 ms |
14160 KB |
Output is correct |
18 |
Correct |
153 ms |
16208 KB |
Output is correct |
19 |
Correct |
180 ms |
13136 KB |
Output is correct |
20 |
Correct |
191 ms |
14928 KB |
Output is correct |
21 |
Correct |
214 ms |
18228 KB |
Output is correct |
22 |
Correct |
227 ms |
18256 KB |
Output is correct |
23 |
Correct |
334 ms |
17232 KB |
Output is correct |
24 |
Correct |
382 ms |
17232 KB |
Output is correct |
25 |
Correct |
290 ms |
19268 KB |
Output is correct |
26 |
Correct |
389 ms |
18000 KB |
Output is correct |
27 |
Correct |
370 ms |
17680 KB |
Output is correct |
28 |
Correct |
160 ms |
20048 KB |
Output is correct |
29 |
Correct |
208 ms |
16212 KB |
Output is correct |
30 |
Correct |
223 ms |
18392 KB |
Output is correct |
31 |
Correct |
336 ms |
18256 KB |
Output is correct |
32 |
Correct |
397 ms |
18124 KB |
Output is correct |
33 |
Correct |
299 ms |
17232 KB |
Output is correct |
34 |
Correct |
379 ms |
17304 KB |
Output is correct |
35 |
Correct |
359 ms |
17664 KB |
Output is correct |
36 |
Correct |
152 ms |
16208 KB |
Output is correct |
37 |
Correct |
210 ms |
18184 KB |
Output is correct |
38 |
Correct |
222 ms |
16208 KB |
Output is correct |
39 |
Correct |
343 ms |
17368 KB |
Output is correct |
40 |
Correct |
393 ms |
17072 KB |
Output is correct |
41 |
Correct |
55 ms |
16116 KB |
Output is correct |
42 |
Correct |
62 ms |
16208 KB |
Output is correct |
43 |
Correct |
70 ms |
16116 KB |
Output is correct |
44 |
Correct |
94 ms |
16116 KB |
Output is correct |
45 |
Correct |
59 ms |
16216 KB |
Output is correct |
46 |
Correct |
86 ms |
16116 KB |
Output is correct |
47 |
Correct |
78 ms |
16116 KB |
Output is correct |
48 |
Correct |
50 ms |
16272 KB |
Output is correct |
49 |
Correct |
56 ms |
16220 KB |
Output is correct |
50 |
Correct |
55 ms |
16116 KB |
Output is correct |
51 |
Correct |
66 ms |
16120 KB |
Output is correct |
52 |
Correct |
90 ms |
16116 KB |
Output is correct |
53 |
Correct |
63 ms |
16116 KB |
Output is correct |
54 |
Correct |
84 ms |
16116 KB |
Output is correct |
55 |
Correct |
77 ms |
16116 KB |
Output is correct |
56 |
Correct |
51 ms |
16116 KB |
Output is correct |
57 |
Correct |
60 ms |
16116 KB |
Output is correct |
58 |
Correct |
57 ms |
16116 KB |
Output is correct |
59 |
Correct |
68 ms |
16120 KB |
Output is correct |
60 |
Correct |
88 ms |
16116 KB |
Output is correct |
61 |
Correct |
62 ms |
16116 KB |
Output is correct |
62 |
Correct |
84 ms |
16116 KB |
Output is correct |
63 |
Correct |
86 ms |
16116 KB |
Output is correct |
64 |
Correct |
54 ms |
16120 KB |
Output is correct |
65 |
Correct |
69 ms |
16124 KB |
Output is correct |
66 |
Correct |
69 ms |
16116 KB |
Output is correct |
67 |
Correct |
75 ms |
16116 KB |
Output is correct |
68 |
Correct |
71 ms |
16116 KB |
Output is correct |
69 |
Correct |
77 ms |
16116 KB |
Output is correct |
70 |
Correct |
77 ms |
16116 KB |
Output is correct |
71 |
Correct |
365 ms |
40688 KB |
Output is correct |
72 |
Correct |
362 ms |
40440 KB |
Output is correct |
73 |
Correct |
591 ms |
38996 KB |
Output is correct |
74 |
Correct |
1030 ms |
39616 KB |
Output is correct |
75 |
Correct |
469 ms |
41340 KB |
Output is correct |
76 |
Correct |
884 ms |
39668 KB |
Output is correct |
77 |
Correct |
781 ms |
39668 KB |
Output is correct |
78 |
Correct |
267 ms |
43252 KB |
Output is correct |
79 |
Correct |
348 ms |
37364 KB |
Output is correct |
80 |
Correct |
356 ms |
40436 KB |
Output is correct |
81 |
Correct |
572 ms |
40464 KB |
Output is correct |
82 |
Correct |
983 ms |
39416 KB |
Output is correct |
83 |
Correct |
465 ms |
38648 KB |
Output is correct |
84 |
Correct |
959 ms |
39452 KB |
Output is correct |
85 |
Correct |
787 ms |
39636 KB |
Output is correct |
86 |
Correct |
275 ms |
37208 KB |
Output is correct |
87 |
Correct |
365 ms |
40440 KB |
Output is correct |
88 |
Correct |
360 ms |
37588 KB |
Output is correct |
89 |
Correct |
596 ms |
39208 KB |
Output is correct |
90 |
Correct |
1008 ms |
39412 KB |
Output is correct |
91 |
Correct |
454 ms |
38644 KB |
Output is correct |
92 |
Correct |
919 ms |
39764 KB |
Output is correct |
93 |
Correct |
790 ms |
39760 KB |
Output is correct |
94 |
Correct |
262 ms |
37364 KB |
Output is correct |
95 |
Correct |
658 ms |
39768 KB |
Output is correct |
96 |
Correct |
645 ms |
39888 KB |
Output is correct |
97 |
Correct |
649 ms |
39512 KB |
Output is correct |
98 |
Correct |
648 ms |
39500 KB |
Output is correct |
99 |
Correct |
687 ms |
39572 KB |
Output is correct |
100 |
Correct |
644 ms |
39668 KB |
Output is correct |