#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long int lld;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
#define rep(i,a,b) for(int i=a;i<b;i++)
#define trav(a,v) for(auto a:v)
lld val[2000000];
lld super[2000000];
lld sub[2000000];
string s;
vector<int> cnt0;
vector<int> cnt1;
vector<int> cnt2;
void solve() {
int n,q;
cin>>n>>q;
cin>>s;
rep(i,0,(1<<n)){
val[i]=s[i]-'0';
super[i]=s[i]-'0';
sub[i]=s[i]-'0';
}
rep(i,0,n){
rep(msk,0,(1<<n)){
if((msk&(1<<i))){
sub[msk]+=sub[msk-(1<<i)];
}else{
super[msk]+=super[msk+(1<<i)];
}
}
}
//rep(msk,0,(1<<n))cout<<sub[msk]<<endl;
while(q--){
cnt0.clear();
cnt1.clear();
cnt2.clear();
cin>>s;
int curmsk=0;
rep(i,0,n){
if(s[n-1-i]=='0')cnt0.push_back(i);
if(s[n-1-i]=='1')cnt1.push_back(i),curmsk+=(1<<i);
if(s[n-1-i]=='?')cnt2.push_back(i);
}
if((int)cnt2.size()<=7){
lld ans=0;
rep(msk,0,(1<<cnt2.size())){
int genms=curmsk;
rep(j,0,(int)cnt2.size()){
if((msk&(1<<j))){
genms+=(1<<cnt2[j]);
}
}
ans+=val[genms];
//cout<<"G"<<genms<<endl;
}
cout<<ans<<"\n";
}else{
if((int)cnt1.size()<=6){
//few 1's
trav(a,cnt2)curmsk+=(1<<a);
lld ans=0;
rep(msk,0,(1<<cnt1.size())){
int genms=curmsk;
int mlt=1;
rep(j,0,(int)cnt1.size()){
if((msk&(1<<j))){
mlt*=-1;
genms-=(1<<cnt1[j]);
}
}
ans+=mlt*sub[genms];
//cout<<"G "<<genms<<" "<<sub[genms]<<endl;
}
cout<<ans<<"\n";
}else{
lld ans=0;
rep(msk,0,(1<<cnt0.size())){
int genms=curmsk;
int mlt=1;
rep(j,0,(int)cnt0.size()){
if((msk&(1<<j))){
mlt*=-1;
genms+=(1<<cnt0[j]);
}
}
ans+=mlt*super[genms];
//cout<<"G "<<genms<<" "<<super[genms]<<endl;
}
cout<<ans<<"\n";
}
}
}
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
int tt=1;
//cin>>tt;
while(tt--){
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4568 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4580 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4568 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4580 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
406 ms |
19248 KB |
Output is correct |
12 |
Correct |
526 ms |
18940 KB |
Output is correct |
13 |
Correct |
263 ms |
18372 KB |
Output is correct |
14 |
Correct |
240 ms |
18088 KB |
Output is correct |
15 |
Correct |
702 ms |
19100 KB |
Output is correct |
16 |
Correct |
344 ms |
18256 KB |
Output is correct |
17 |
Correct |
348 ms |
18344 KB |
Output is correct |
18 |
Correct |
166 ms |
20304 KB |
Output is correct |
19 |
Correct |
183 ms |
17220 KB |
Output is correct |
20 |
Correct |
534 ms |
18772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4568 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4580 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
406 ms |
19248 KB |
Output is correct |
12 |
Correct |
526 ms |
18940 KB |
Output is correct |
13 |
Correct |
263 ms |
18372 KB |
Output is correct |
14 |
Correct |
240 ms |
18088 KB |
Output is correct |
15 |
Correct |
702 ms |
19100 KB |
Output is correct |
16 |
Correct |
344 ms |
18256 KB |
Output is correct |
17 |
Correct |
348 ms |
18344 KB |
Output is correct |
18 |
Correct |
166 ms |
20304 KB |
Output is correct |
19 |
Correct |
183 ms |
17220 KB |
Output is correct |
20 |
Correct |
534 ms |
18772 KB |
Output is correct |
21 |
Correct |
1377 ms |
22380 KB |
Output is correct |
22 |
Correct |
693 ms |
22276 KB |
Output is correct |
23 |
Correct |
396 ms |
21296 KB |
Output is correct |
24 |
Correct |
330 ms |
21112 KB |
Output is correct |
25 |
Correct |
267 ms |
23272 KB |
Output is correct |
26 |
Correct |
542 ms |
21700 KB |
Output is correct |
27 |
Correct |
514 ms |
22168 KB |
Output is correct |
28 |
Correct |
170 ms |
24344 KB |
Output is correct |
29 |
Correct |
234 ms |
20100 KB |
Output is correct |
30 |
Correct |
702 ms |
22364 KB |
Output is correct |
31 |
Correct |
755 ms |
22288 KB |
Output is correct |
32 |
Correct |
449 ms |
22100 KB |
Output is correct |
33 |
Correct |
287 ms |
21172 KB |
Output is correct |
34 |
Correct |
336 ms |
21332 KB |
Output is correct |
35 |
Correct |
506 ms |
21584 KB |
Output is correct |
36 |
Correct |
233 ms |
20208 KB |
Output is correct |
37 |
Correct |
723 ms |
22356 KB |
Output is correct |
38 |
Correct |
275 ms |
20312 KB |
Output is correct |
39 |
Correct |
377 ms |
21304 KB |
Output is correct |
40 |
Correct |
338 ms |
21244 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4568 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4580 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
51 ms |
32648 KB |
Output is correct |
12 |
Correct |
52 ms |
32752 KB |
Output is correct |
13 |
Correct |
81 ms |
32536 KB |
Output is correct |
14 |
Correct |
122 ms |
32756 KB |
Output is correct |
15 |
Correct |
50 ms |
32752 KB |
Output is correct |
16 |
Correct |
87 ms |
32748 KB |
Output is correct |
17 |
Correct |
99 ms |
32752 KB |
Output is correct |
18 |
Correct |
48 ms |
32792 KB |
Output is correct |
19 |
Correct |
48 ms |
32504 KB |
Output is correct |
20 |
Correct |
71 ms |
32796 KB |
Output is correct |
21 |
Correct |
65 ms |
32752 KB |
Output is correct |
22 |
Correct |
124 ms |
32500 KB |
Output is correct |
23 |
Correct |
64 ms |
32500 KB |
Output is correct |
24 |
Correct |
81 ms |
32552 KB |
Output is correct |
25 |
Correct |
84 ms |
32760 KB |
Output is correct |
26 |
Correct |
41 ms |
32500 KB |
Output is correct |
27 |
Correct |
47 ms |
32796 KB |
Output is correct |
28 |
Correct |
47 ms |
32496 KB |
Output is correct |
29 |
Correct |
81 ms |
32536 KB |
Output is correct |
30 |
Correct |
86 ms |
33008 KB |
Output is correct |
31 |
Correct |
59 ms |
32496 KB |
Output is correct |
32 |
Correct |
91 ms |
32752 KB |
Output is correct |
33 |
Correct |
82 ms |
32752 KB |
Output is correct |
34 |
Correct |
40 ms |
32756 KB |
Output is correct |
35 |
Correct |
77 ms |
32752 KB |
Output is correct |
36 |
Correct |
70 ms |
32756 KB |
Output is correct |
37 |
Correct |
79 ms |
32536 KB |
Output is correct |
38 |
Correct |
72 ms |
32604 KB |
Output is correct |
39 |
Correct |
78 ms |
32756 KB |
Output is correct |
40 |
Correct |
72 ms |
32552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4568 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
4440 KB |
Output is correct |
4 |
Correct |
2 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
2 ms |
4580 KB |
Output is correct |
10 |
Correct |
2 ms |
4440 KB |
Output is correct |
11 |
Correct |
406 ms |
19248 KB |
Output is correct |
12 |
Correct |
526 ms |
18940 KB |
Output is correct |
13 |
Correct |
263 ms |
18372 KB |
Output is correct |
14 |
Correct |
240 ms |
18088 KB |
Output is correct |
15 |
Correct |
702 ms |
19100 KB |
Output is correct |
16 |
Correct |
344 ms |
18256 KB |
Output is correct |
17 |
Correct |
348 ms |
18344 KB |
Output is correct |
18 |
Correct |
166 ms |
20304 KB |
Output is correct |
19 |
Correct |
183 ms |
17220 KB |
Output is correct |
20 |
Correct |
534 ms |
18772 KB |
Output is correct |
21 |
Correct |
1377 ms |
22380 KB |
Output is correct |
22 |
Correct |
693 ms |
22276 KB |
Output is correct |
23 |
Correct |
396 ms |
21296 KB |
Output is correct |
24 |
Correct |
330 ms |
21112 KB |
Output is correct |
25 |
Correct |
267 ms |
23272 KB |
Output is correct |
26 |
Correct |
542 ms |
21700 KB |
Output is correct |
27 |
Correct |
514 ms |
22168 KB |
Output is correct |
28 |
Correct |
170 ms |
24344 KB |
Output is correct |
29 |
Correct |
234 ms |
20100 KB |
Output is correct |
30 |
Correct |
702 ms |
22364 KB |
Output is correct |
31 |
Correct |
755 ms |
22288 KB |
Output is correct |
32 |
Correct |
449 ms |
22100 KB |
Output is correct |
33 |
Correct |
287 ms |
21172 KB |
Output is correct |
34 |
Correct |
336 ms |
21332 KB |
Output is correct |
35 |
Correct |
506 ms |
21584 KB |
Output is correct |
36 |
Correct |
233 ms |
20208 KB |
Output is correct |
37 |
Correct |
723 ms |
22356 KB |
Output is correct |
38 |
Correct |
275 ms |
20312 KB |
Output is correct |
39 |
Correct |
377 ms |
21304 KB |
Output is correct |
40 |
Correct |
338 ms |
21244 KB |
Output is correct |
41 |
Correct |
51 ms |
32648 KB |
Output is correct |
42 |
Correct |
52 ms |
32752 KB |
Output is correct |
43 |
Correct |
81 ms |
32536 KB |
Output is correct |
44 |
Correct |
122 ms |
32756 KB |
Output is correct |
45 |
Correct |
50 ms |
32752 KB |
Output is correct |
46 |
Correct |
87 ms |
32748 KB |
Output is correct |
47 |
Correct |
99 ms |
32752 KB |
Output is correct |
48 |
Correct |
48 ms |
32792 KB |
Output is correct |
49 |
Correct |
48 ms |
32504 KB |
Output is correct |
50 |
Correct |
71 ms |
32796 KB |
Output is correct |
51 |
Correct |
65 ms |
32752 KB |
Output is correct |
52 |
Correct |
124 ms |
32500 KB |
Output is correct |
53 |
Correct |
64 ms |
32500 KB |
Output is correct |
54 |
Correct |
81 ms |
32552 KB |
Output is correct |
55 |
Correct |
84 ms |
32760 KB |
Output is correct |
56 |
Correct |
41 ms |
32500 KB |
Output is correct |
57 |
Correct |
47 ms |
32796 KB |
Output is correct |
58 |
Correct |
47 ms |
32496 KB |
Output is correct |
59 |
Correct |
81 ms |
32536 KB |
Output is correct |
60 |
Correct |
86 ms |
33008 KB |
Output is correct |
61 |
Correct |
59 ms |
32496 KB |
Output is correct |
62 |
Correct |
91 ms |
32752 KB |
Output is correct |
63 |
Correct |
82 ms |
32752 KB |
Output is correct |
64 |
Correct |
40 ms |
32756 KB |
Output is correct |
65 |
Correct |
77 ms |
32752 KB |
Output is correct |
66 |
Correct |
70 ms |
32756 KB |
Output is correct |
67 |
Correct |
79 ms |
32536 KB |
Output is correct |
68 |
Correct |
72 ms |
32604 KB |
Output is correct |
69 |
Correct |
78 ms |
32756 KB |
Output is correct |
70 |
Correct |
72 ms |
32552 KB |
Output is correct |
71 |
Correct |
352 ms |
56872 KB |
Output is correct |
72 |
Correct |
477 ms |
57076 KB |
Output is correct |
73 |
Correct |
781 ms |
55596 KB |
Output is correct |
74 |
Correct |
1703 ms |
55772 KB |
Output is correct |
75 |
Correct |
447 ms |
57908 KB |
Output is correct |
76 |
Correct |
1135 ms |
56340 KB |
Output is correct |
77 |
Correct |
1155 ms |
56208 KB |
Output is correct |
78 |
Correct |
256 ms |
60148 KB |
Output is correct |
79 |
Correct |
338 ms |
54028 KB |
Output is correct |
80 |
Correct |
549 ms |
57072 KB |
Output is correct |
81 |
Correct |
591 ms |
57068 KB |
Output is correct |
82 |
Correct |
1699 ms |
55876 KB |
Output is correct |
83 |
Correct |
459 ms |
55300 KB |
Output is correct |
84 |
Correct |
1137 ms |
56024 KB |
Output is correct |
85 |
Correct |
1205 ms |
56396 KB |
Output is correct |
86 |
Correct |
222 ms |
54000 KB |
Output is correct |
87 |
Correct |
319 ms |
57020 KB |
Output is correct |
88 |
Correct |
351 ms |
54112 KB |
Output is correct |
89 |
Correct |
734 ms |
55516 KB |
Output is correct |
90 |
Correct |
938 ms |
56020 KB |
Output is correct |
91 |
Correct |
460 ms |
55284 KB |
Output is correct |
92 |
Correct |
1330 ms |
56352 KB |
Output is correct |
93 |
Correct |
1073 ms |
56088 KB |
Output is correct |
94 |
Correct |
221 ms |
52492 KB |
Output is correct |
95 |
Correct |
833 ms |
56064 KB |
Output is correct |
96 |
Correct |
917 ms |
56104 KB |
Output is correct |
97 |
Correct |
839 ms |
56024 KB |
Output is correct |
98 |
Correct |
833 ms |
56076 KB |
Output is correct |
99 |
Correct |
947 ms |
55984 KB |
Output is correct |
100 |
Correct |
944 ms |
56308 KB |
Output is correct |