#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second
#define ld long double
#define all(a) a.begin(),a.end()
#define int long long
#define pii pair <int,int>
#define PII pair<pii , pii>
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= (b);i++)
#define per(i , a , b) for(int i=a;i >= (b);i--)
#define deb(x) cout <<#x << " : " << x << "\n" ;
using namespace std ;
const int maxn = 2e6 + 10 , c = 6 , maxp = 15e5 + 10 , inf= 1e18+10 ;
int d1[maxn] , d2[maxn] ;
signed main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n ,q ;
cin >> n >> q;
string s;
cin >> s ;
rep(i , 0 , (1<<n)-1){
d1[i] = (s[i]-'0');
d2[i] = (s[i]-'0');
}
rep(i , 0 , n-1){
rep(j , 0 , (1<<n)-1){
if(j>>i&1){
d2[j]+=d2[j^(1<<i)] ;
}else{
d1[j]+=d1[j^(1<<i)] ;
}
}
}
while(q--){
string t;
cin >> t ;
reverse(all(t)) ;
int a=0,b=0,c=0;
rep(i , 0 ,n-1){
if(t[i]=='?')a+=(1<<i);
if(t[i]=='0')b+=(1<<i);
if(t[i]=='1')c+=(1<<i);
}
if(__builtin_popcount(a) <=6){
int ans =0;
for(int ms = a ; ; ms = (ms-1)&a){
ans += s[ms|c]-'0' ;
if(ms == 0)break ;
}
cout << ans << "\n";
continue;
}
if(__builtin_popcount(b) <= 6){
int ans =0 ;
for(int ms = b ; ; ms = (ms-1)&b){
if(__builtin_popcount(ms)%2){
ans -= d1[ms|c];
}else{
ans += d1[ms|c] ;
}
if(ms==0)break ;
}
cout << ans << "\n";
continue ;
}
int ans = 0 ;
for(int ms = c ; ;ms = (ms-1)&c){
if((__builtin_popcount(c)-__builtin_popcount(ms))%2){
ans -= d2[ms|a] ;
}else{
ans += d2[ms|a] ;
}
if(ms==0)break ;
}
cout << ans << "\n" ;
}
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
200 ms |
17156 KB |
Output is correct |
12 |
Correct |
202 ms |
16856 KB |
Output is correct |
13 |
Correct |
190 ms |
15980 KB |
Output is correct |
14 |
Correct |
185 ms |
16164 KB |
Output is correct |
15 |
Correct |
256 ms |
17228 KB |
Output is correct |
16 |
Correct |
214 ms |
16468 KB |
Output is correct |
17 |
Correct |
214 ms |
16360 KB |
Output is correct |
18 |
Correct |
167 ms |
18260 KB |
Output is correct |
19 |
Correct |
167 ms |
15184 KB |
Output is correct |
20 |
Correct |
213 ms |
16844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
200 ms |
17156 KB |
Output is correct |
12 |
Correct |
202 ms |
16856 KB |
Output is correct |
13 |
Correct |
190 ms |
15980 KB |
Output is correct |
14 |
Correct |
185 ms |
16164 KB |
Output is correct |
15 |
Correct |
256 ms |
17228 KB |
Output is correct |
16 |
Correct |
214 ms |
16468 KB |
Output is correct |
17 |
Correct |
214 ms |
16360 KB |
Output is correct |
18 |
Correct |
167 ms |
18260 KB |
Output is correct |
19 |
Correct |
167 ms |
15184 KB |
Output is correct |
20 |
Correct |
213 ms |
16844 KB |
Output is correct |
21 |
Correct |
194 ms |
20160 KB |
Output is correct |
22 |
Correct |
276 ms |
20304 KB |
Output is correct |
23 |
Correct |
231 ms |
19284 KB |
Output is correct |
24 |
Correct |
242 ms |
19300 KB |
Output is correct |
25 |
Correct |
237 ms |
21236 KB |
Output is correct |
26 |
Correct |
255 ms |
19616 KB |
Output is correct |
27 |
Correct |
256 ms |
19596 KB |
Output is correct |
28 |
Correct |
149 ms |
22288 KB |
Output is correct |
29 |
Correct |
186 ms |
18260 KB |
Output is correct |
30 |
Correct |
225 ms |
20276 KB |
Output is correct |
31 |
Correct |
299 ms |
20564 KB |
Output is correct |
32 |
Correct |
250 ms |
20308 KB |
Output is correct |
33 |
Correct |
207 ms |
19280 KB |
Output is correct |
34 |
Correct |
253 ms |
19280 KB |
Output is correct |
35 |
Correct |
253 ms |
19712 KB |
Output is correct |
36 |
Correct |
142 ms |
18136 KB |
Output is correct |
37 |
Correct |
247 ms |
20120 KB |
Output is correct |
38 |
Correct |
196 ms |
18220 KB |
Output is correct |
39 |
Correct |
230 ms |
19280 KB |
Output is correct |
40 |
Correct |
226 ms |
19104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
39 ms |
22544 KB |
Output is correct |
12 |
Correct |
37 ms |
22548 KB |
Output is correct |
13 |
Correct |
40 ms |
22256 KB |
Output is correct |
14 |
Correct |
48 ms |
22256 KB |
Output is correct |
15 |
Correct |
39 ms |
22512 KB |
Output is correct |
16 |
Correct |
45 ms |
22292 KB |
Output is correct |
17 |
Correct |
55 ms |
22324 KB |
Output is correct |
18 |
Correct |
29 ms |
22516 KB |
Output is correct |
19 |
Correct |
36 ms |
22260 KB |
Output is correct |
20 |
Correct |
49 ms |
22516 KB |
Output is correct |
21 |
Correct |
41 ms |
22520 KB |
Output is correct |
22 |
Correct |
50 ms |
22456 KB |
Output is correct |
23 |
Correct |
45 ms |
22276 KB |
Output is correct |
24 |
Correct |
39 ms |
22264 KB |
Output is correct |
25 |
Correct |
54 ms |
22256 KB |
Output is correct |
26 |
Correct |
30 ms |
22264 KB |
Output is correct |
27 |
Correct |
34 ms |
22520 KB |
Output is correct |
28 |
Correct |
35 ms |
22256 KB |
Output is correct |
29 |
Correct |
41 ms |
22264 KB |
Output is correct |
30 |
Correct |
54 ms |
22260 KB |
Output is correct |
31 |
Correct |
34 ms |
22264 KB |
Output is correct |
32 |
Correct |
50 ms |
22512 KB |
Output is correct |
33 |
Correct |
63 ms |
22512 KB |
Output is correct |
34 |
Correct |
28 ms |
22260 KB |
Output is correct |
35 |
Correct |
41 ms |
22288 KB |
Output is correct |
36 |
Correct |
43 ms |
22396 KB |
Output is correct |
37 |
Correct |
48 ms |
22296 KB |
Output is correct |
38 |
Correct |
41 ms |
22300 KB |
Output is correct |
39 |
Correct |
48 ms |
22280 KB |
Output is correct |
40 |
Correct |
43 ms |
22324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
200 ms |
17156 KB |
Output is correct |
12 |
Correct |
202 ms |
16856 KB |
Output is correct |
13 |
Correct |
190 ms |
15980 KB |
Output is correct |
14 |
Correct |
185 ms |
16164 KB |
Output is correct |
15 |
Correct |
256 ms |
17228 KB |
Output is correct |
16 |
Correct |
214 ms |
16468 KB |
Output is correct |
17 |
Correct |
214 ms |
16360 KB |
Output is correct |
18 |
Correct |
167 ms |
18260 KB |
Output is correct |
19 |
Correct |
167 ms |
15184 KB |
Output is correct |
20 |
Correct |
213 ms |
16844 KB |
Output is correct |
21 |
Correct |
194 ms |
20160 KB |
Output is correct |
22 |
Correct |
276 ms |
20304 KB |
Output is correct |
23 |
Correct |
231 ms |
19284 KB |
Output is correct |
24 |
Correct |
242 ms |
19300 KB |
Output is correct |
25 |
Correct |
237 ms |
21236 KB |
Output is correct |
26 |
Correct |
255 ms |
19616 KB |
Output is correct |
27 |
Correct |
256 ms |
19596 KB |
Output is correct |
28 |
Correct |
149 ms |
22288 KB |
Output is correct |
29 |
Correct |
186 ms |
18260 KB |
Output is correct |
30 |
Correct |
225 ms |
20276 KB |
Output is correct |
31 |
Correct |
299 ms |
20564 KB |
Output is correct |
32 |
Correct |
250 ms |
20308 KB |
Output is correct |
33 |
Correct |
207 ms |
19280 KB |
Output is correct |
34 |
Correct |
253 ms |
19280 KB |
Output is correct |
35 |
Correct |
253 ms |
19712 KB |
Output is correct |
36 |
Correct |
142 ms |
18136 KB |
Output is correct |
37 |
Correct |
247 ms |
20120 KB |
Output is correct |
38 |
Correct |
196 ms |
18220 KB |
Output is correct |
39 |
Correct |
230 ms |
19280 KB |
Output is correct |
40 |
Correct |
226 ms |
19104 KB |
Output is correct |
41 |
Correct |
39 ms |
22544 KB |
Output is correct |
42 |
Correct |
37 ms |
22548 KB |
Output is correct |
43 |
Correct |
40 ms |
22256 KB |
Output is correct |
44 |
Correct |
48 ms |
22256 KB |
Output is correct |
45 |
Correct |
39 ms |
22512 KB |
Output is correct |
46 |
Correct |
45 ms |
22292 KB |
Output is correct |
47 |
Correct |
55 ms |
22324 KB |
Output is correct |
48 |
Correct |
29 ms |
22516 KB |
Output is correct |
49 |
Correct |
36 ms |
22260 KB |
Output is correct |
50 |
Correct |
49 ms |
22516 KB |
Output is correct |
51 |
Correct |
41 ms |
22520 KB |
Output is correct |
52 |
Correct |
50 ms |
22456 KB |
Output is correct |
53 |
Correct |
45 ms |
22276 KB |
Output is correct |
54 |
Correct |
39 ms |
22264 KB |
Output is correct |
55 |
Correct |
54 ms |
22256 KB |
Output is correct |
56 |
Correct |
30 ms |
22264 KB |
Output is correct |
57 |
Correct |
34 ms |
22520 KB |
Output is correct |
58 |
Correct |
35 ms |
22256 KB |
Output is correct |
59 |
Correct |
41 ms |
22264 KB |
Output is correct |
60 |
Correct |
54 ms |
22260 KB |
Output is correct |
61 |
Correct |
34 ms |
22264 KB |
Output is correct |
62 |
Correct |
50 ms |
22512 KB |
Output is correct |
63 |
Correct |
63 ms |
22512 KB |
Output is correct |
64 |
Correct |
28 ms |
22260 KB |
Output is correct |
65 |
Correct |
41 ms |
22288 KB |
Output is correct |
66 |
Correct |
43 ms |
22396 KB |
Output is correct |
67 |
Correct |
48 ms |
22296 KB |
Output is correct |
68 |
Correct |
41 ms |
22300 KB |
Output is correct |
69 |
Correct |
48 ms |
22280 KB |
Output is correct |
70 |
Correct |
43 ms |
22324 KB |
Output is correct |
71 |
Correct |
311 ms |
46772 KB |
Output is correct |
72 |
Correct |
371 ms |
46940 KB |
Output is correct |
73 |
Correct |
355 ms |
45448 KB |
Output is correct |
74 |
Correct |
573 ms |
45808 KB |
Output is correct |
75 |
Correct |
430 ms |
47644 KB |
Output is correct |
76 |
Correct |
516 ms |
46148 KB |
Output is correct |
77 |
Correct |
646 ms |
45896 KB |
Output is correct |
78 |
Correct |
208 ms |
49832 KB |
Output is correct |
79 |
Correct |
300 ms |
43764 KB |
Output is correct |
80 |
Correct |
335 ms |
46780 KB |
Output is correct |
81 |
Correct |
470 ms |
46852 KB |
Output is correct |
82 |
Correct |
563 ms |
45780 KB |
Output is correct |
83 |
Correct |
299 ms |
44828 KB |
Output is correct |
84 |
Correct |
418 ms |
45848 KB |
Output is correct |
85 |
Correct |
522 ms |
45928 KB |
Output is correct |
86 |
Correct |
210 ms |
43636 KB |
Output is correct |
87 |
Correct |
292 ms |
46696 KB |
Output is correct |
88 |
Correct |
394 ms |
43808 KB |
Output is correct |
89 |
Correct |
369 ms |
45404 KB |
Output is correct |
90 |
Correct |
413 ms |
45808 KB |
Output is correct |
91 |
Correct |
309 ms |
44788 KB |
Output is correct |
92 |
Correct |
653 ms |
45988 KB |
Output is correct |
93 |
Correct |
538 ms |
46004 KB |
Output is correct |
94 |
Correct |
197 ms |
43636 KB |
Output is correct |
95 |
Correct |
553 ms |
45804 KB |
Output is correct |
96 |
Correct |
479 ms |
45808 KB |
Output is correct |
97 |
Correct |
494 ms |
45916 KB |
Output is correct |
98 |
Correct |
506 ms |
45756 KB |
Output is correct |
99 |
Correct |
448 ms |
45808 KB |
Output is correct |
100 |
Correct |
522 ms |
45812 KB |
Output is correct |