#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include <cassert>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric> //gcd(a,b)
#include<bitset>
#include <cstdlib>
#include <cstdint>
using namespace std;
#define ll long long
#define f first
//#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
using namespace std;
#define int long long
#define double long double
const int mod=998244353,mxn=3e5+5,lg=60,inf=1e18,minf=-1e18,Mxn=1e6+50000;
int dp1[Mxn+10],dp0[Mxn+10],cost[Mxn+10];
int32_t main(){
fastio
int n,q;cin>>n>>q;
string a;cin>>a;
for(int i=0;i<(1LL<<n);i++)cost[i]=dp1[i]=dp0[i]=(a[i]-'0');
for(int i=0;i<n;i++)for(int j=0;j<(1LL<<n);j++)if(j&(1LL<<i))dp1[j]+=dp1[j^(1LL<<i)];
for(int i=0;i<n;i++)for(int j=(1LL<<n)-1;j>=0;j--)if(!(j&(1LL<<i)))dp0[j]+=dp0[j+(1LL<<i)];
int root=sqrt(n);
root++;
while(q--){
cin>>a;
reverse(all(a));
int x=0,y=0;
vector<int>o,z,c;
for(int i=0;i<n;i++){
if(a[i]=='1')x+=(1LL<<i),o.pb(i),y+=(1LL<<i);
else if(a[i]=='?')x+=(1LL<<i),c.pb(i);
else z.pb(i);
}
int m=0;
int ans=0;
if(c.size()<=root){//5 tl
m=c.size();
for(int i=0;i<(1LL<<m);i++){
for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x-=(1LL<<c[j]);
ans+=cost[x];
for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x+=(1LL<<c[j]);
}
}
else if(o.size()<z.size()){
ans=dp1[x];
m=o.size();
for(int i=0;i<(1LL<<m)-1;i++){
int cnt=0;
for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x-=(1LL<<o[j]),cnt++;
if(cnt%2)ans-=dp1[x];
else ans+=dp1[x];
for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x+=(1LL<<o[j]);
}
/*
*/
}
else{
ans=dp0[y];
m=z.size();
for(int i=1;i<(1LL<<m);i++){
int cnt=0;
for(int j=0;j<m;j++)if((i&(1LL<<j)))y+=(1LL<<z[j]),cnt++;
if(cnt%2)ans-=dp0[y];
else ans+=dp0[y];
for(int j=0;j<m;j++)if((i&(1LL<<j)))y-=(1LL<<z[j]);
}
/*
*/
}
cout<<ans<<'\n';
//return 0;
//cout<<dp1[x]<<" "<<dp0[y]<<'\n';
}
}
/*
if cnt? <= sqrt(m) we can do (2^4)? bruteforce (maybe even 5)
else we can do sos dp and somehow remove the overcount
we can turn all ? into one and get sos of that bit
overcount when "1" bit that is originaly turned on switch to 0(for subset)
we can switch them off and subtract from the original answer so it cost 2^(cnt1){
we need to somehow do pie
starting from original answer-> if we turn off 1 bit
ans-(turn of x bit)-(turn of y bit)+(turn of x and y bit)
so if cnt%2==1 then we subtract
else we add back in
}
cnt1 can be at most 16,worst case is all 1 (2^16)
we can also do sos dp where 0 is now the "switchable" value
so if cnt0<cnt1 we take do from 0 dp else from 1
tc-> worst case q*(2^m)*m
pre com time is m*(2^m+1)
q*(x*(2^x)+(2^(m-x)/2))
*/
Compilation message
snake_escaping.cpp: In function 'int32_t main()':
snake_escaping.cpp:61:14: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
61 | if(c.size()<=root){//5 tl
| ~~~~~~~~^~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4568 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4568 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
366 ms |
14372 KB |
Output is correct |
12 |
Correct |
395 ms |
13964 KB |
Output is correct |
13 |
Correct |
452 ms |
13140 KB |
Output is correct |
14 |
Correct |
473 ms |
13392 KB |
Output is correct |
15 |
Correct |
394 ms |
14464 KB |
Output is correct |
16 |
Correct |
497 ms |
13568 KB |
Output is correct |
17 |
Correct |
491 ms |
16352 KB |
Output is correct |
18 |
Correct |
263 ms |
18236 KB |
Output is correct |
19 |
Correct |
356 ms |
15172 KB |
Output is correct |
20 |
Correct |
400 ms |
16768 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4568 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
366 ms |
14372 KB |
Output is correct |
12 |
Correct |
395 ms |
13964 KB |
Output is correct |
13 |
Correct |
452 ms |
13140 KB |
Output is correct |
14 |
Correct |
473 ms |
13392 KB |
Output is correct |
15 |
Correct |
394 ms |
14464 KB |
Output is correct |
16 |
Correct |
497 ms |
13568 KB |
Output is correct |
17 |
Correct |
491 ms |
16352 KB |
Output is correct |
18 |
Correct |
263 ms |
18236 KB |
Output is correct |
19 |
Correct |
356 ms |
15172 KB |
Output is correct |
20 |
Correct |
400 ms |
16768 KB |
Output is correct |
21 |
Correct |
379 ms |
19580 KB |
Output is correct |
22 |
Correct |
435 ms |
19668 KB |
Output is correct |
23 |
Correct |
564 ms |
18648 KB |
Output is correct |
24 |
Correct |
658 ms |
18652 KB |
Output is correct |
25 |
Correct |
441 ms |
20520 KB |
Output is correct |
26 |
Correct |
572 ms |
18940 KB |
Output is correct |
27 |
Correct |
571 ms |
15440 KB |
Output is correct |
28 |
Correct |
281 ms |
17856 KB |
Output is correct |
29 |
Correct |
383 ms |
14008 KB |
Output is correct |
30 |
Correct |
420 ms |
16088 KB |
Output is correct |
31 |
Correct |
503 ms |
16020 KB |
Output is correct |
32 |
Correct |
579 ms |
15852 KB |
Output is correct |
33 |
Correct |
489 ms |
14900 KB |
Output is correct |
34 |
Correct |
634 ms |
15488 KB |
Output is correct |
35 |
Correct |
570 ms |
15392 KB |
Output is correct |
36 |
Correct |
260 ms |
13912 KB |
Output is correct |
37 |
Correct |
376 ms |
15868 KB |
Output is correct |
38 |
Correct |
395 ms |
14076 KB |
Output is correct |
39 |
Correct |
548 ms |
15096 KB |
Output is correct |
40 |
Correct |
611 ms |
14880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4568 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
50 ms |
27708 KB |
Output is correct |
12 |
Correct |
55 ms |
27776 KB |
Output is correct |
13 |
Correct |
72 ms |
27640 KB |
Output is correct |
14 |
Correct |
103 ms |
27888 KB |
Output is correct |
15 |
Correct |
56 ms |
27660 KB |
Output is correct |
16 |
Correct |
103 ms |
27640 KB |
Output is correct |
17 |
Correct |
112 ms |
27704 KB |
Output is correct |
18 |
Correct |
42 ms |
27712 KB |
Output is correct |
19 |
Correct |
53 ms |
27380 KB |
Output is correct |
20 |
Correct |
57 ms |
28008 KB |
Output is correct |
21 |
Correct |
73 ms |
27888 KB |
Output is correct |
22 |
Correct |
95 ms |
27920 KB |
Output is correct |
23 |
Correct |
62 ms |
27892 KB |
Output is correct |
24 |
Correct |
124 ms |
27892 KB |
Output is correct |
25 |
Correct |
110 ms |
27820 KB |
Output is correct |
26 |
Correct |
50 ms |
27856 KB |
Output is correct |
27 |
Correct |
56 ms |
27844 KB |
Output is correct |
28 |
Correct |
58 ms |
27716 KB |
Output is correct |
29 |
Correct |
76 ms |
27936 KB |
Output is correct |
30 |
Correct |
142 ms |
28140 KB |
Output is correct |
31 |
Correct |
63 ms |
27844 KB |
Output is correct |
32 |
Correct |
116 ms |
27944 KB |
Output is correct |
33 |
Correct |
106 ms |
27788 KB |
Output is correct |
34 |
Correct |
42 ms |
27636 KB |
Output is correct |
35 |
Correct |
93 ms |
27832 KB |
Output is correct |
36 |
Correct |
92 ms |
27888 KB |
Output is correct |
37 |
Correct |
88 ms |
27764 KB |
Output is correct |
38 |
Correct |
93 ms |
27868 KB |
Output is correct |
39 |
Correct |
88 ms |
27920 KB |
Output is correct |
40 |
Correct |
87 ms |
27884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4700 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4568 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
366 ms |
14372 KB |
Output is correct |
12 |
Correct |
395 ms |
13964 KB |
Output is correct |
13 |
Correct |
452 ms |
13140 KB |
Output is correct |
14 |
Correct |
473 ms |
13392 KB |
Output is correct |
15 |
Correct |
394 ms |
14464 KB |
Output is correct |
16 |
Correct |
497 ms |
13568 KB |
Output is correct |
17 |
Correct |
491 ms |
16352 KB |
Output is correct |
18 |
Correct |
263 ms |
18236 KB |
Output is correct |
19 |
Correct |
356 ms |
15172 KB |
Output is correct |
20 |
Correct |
400 ms |
16768 KB |
Output is correct |
21 |
Correct |
379 ms |
19580 KB |
Output is correct |
22 |
Correct |
435 ms |
19668 KB |
Output is correct |
23 |
Correct |
564 ms |
18648 KB |
Output is correct |
24 |
Correct |
658 ms |
18652 KB |
Output is correct |
25 |
Correct |
441 ms |
20520 KB |
Output is correct |
26 |
Correct |
572 ms |
18940 KB |
Output is correct |
27 |
Correct |
571 ms |
15440 KB |
Output is correct |
28 |
Correct |
281 ms |
17856 KB |
Output is correct |
29 |
Correct |
383 ms |
14008 KB |
Output is correct |
30 |
Correct |
420 ms |
16088 KB |
Output is correct |
31 |
Correct |
503 ms |
16020 KB |
Output is correct |
32 |
Correct |
579 ms |
15852 KB |
Output is correct |
33 |
Correct |
489 ms |
14900 KB |
Output is correct |
34 |
Correct |
634 ms |
15488 KB |
Output is correct |
35 |
Correct |
570 ms |
15392 KB |
Output is correct |
36 |
Correct |
260 ms |
13912 KB |
Output is correct |
37 |
Correct |
376 ms |
15868 KB |
Output is correct |
38 |
Correct |
395 ms |
14076 KB |
Output is correct |
39 |
Correct |
548 ms |
15096 KB |
Output is correct |
40 |
Correct |
611 ms |
14880 KB |
Output is correct |
41 |
Correct |
50 ms |
27708 KB |
Output is correct |
42 |
Correct |
55 ms |
27776 KB |
Output is correct |
43 |
Correct |
72 ms |
27640 KB |
Output is correct |
44 |
Correct |
103 ms |
27888 KB |
Output is correct |
45 |
Correct |
56 ms |
27660 KB |
Output is correct |
46 |
Correct |
103 ms |
27640 KB |
Output is correct |
47 |
Correct |
112 ms |
27704 KB |
Output is correct |
48 |
Correct |
42 ms |
27712 KB |
Output is correct |
49 |
Correct |
53 ms |
27380 KB |
Output is correct |
50 |
Correct |
57 ms |
28008 KB |
Output is correct |
51 |
Correct |
73 ms |
27888 KB |
Output is correct |
52 |
Correct |
95 ms |
27920 KB |
Output is correct |
53 |
Correct |
62 ms |
27892 KB |
Output is correct |
54 |
Correct |
124 ms |
27892 KB |
Output is correct |
55 |
Correct |
110 ms |
27820 KB |
Output is correct |
56 |
Correct |
50 ms |
27856 KB |
Output is correct |
57 |
Correct |
56 ms |
27844 KB |
Output is correct |
58 |
Correct |
58 ms |
27716 KB |
Output is correct |
59 |
Correct |
76 ms |
27936 KB |
Output is correct |
60 |
Correct |
142 ms |
28140 KB |
Output is correct |
61 |
Correct |
63 ms |
27844 KB |
Output is correct |
62 |
Correct |
116 ms |
27944 KB |
Output is correct |
63 |
Correct |
106 ms |
27788 KB |
Output is correct |
64 |
Correct |
42 ms |
27636 KB |
Output is correct |
65 |
Correct |
93 ms |
27832 KB |
Output is correct |
66 |
Correct |
92 ms |
27888 KB |
Output is correct |
67 |
Correct |
88 ms |
27764 KB |
Output is correct |
68 |
Correct |
93 ms |
27868 KB |
Output is correct |
69 |
Correct |
88 ms |
27920 KB |
Output is correct |
70 |
Correct |
87 ms |
27884 KB |
Output is correct |
71 |
Correct |
534 ms |
42300 KB |
Output is correct |
72 |
Correct |
557 ms |
42496 KB |
Output is correct |
73 |
Correct |
879 ms |
41008 KB |
Output is correct |
74 |
Correct |
1332 ms |
41672 KB |
Output is correct |
75 |
Correct |
610 ms |
43420 KB |
Output is correct |
76 |
Correct |
1649 ms |
41840 KB |
Output is correct |
77 |
Correct |
1758 ms |
41624 KB |
Output is correct |
78 |
Correct |
349 ms |
45816 KB |
Output is correct |
79 |
Correct |
540 ms |
39788 KB |
Output is correct |
80 |
Correct |
560 ms |
42632 KB |
Output is correct |
81 |
Correct |
873 ms |
42568 KB |
Output is correct |
82 |
Correct |
1402 ms |
41696 KB |
Output is correct |
83 |
Correct |
717 ms |
40836 KB |
Output is correct |
84 |
Execution timed out |
2015 ms |
41632 KB |
Time limit exceeded |
85 |
Halted |
0 ms |
0 KB |
- |