#include<bits/stdc++.h>
using namespace std;
int dp1[1<<20],dp2[1<<20],orig[1<<20];
void readst(string &str){
char c=getchar();
while(c==' '||c=='\n')
c=getchar();
while(c!=' '&&c!='\n')
str+=c,c=getchar();
}
void brute(string a){
vector<int>can;
int k=0,l=a.size()-1,ans=0;
for(int i=0;i<=l;i++)
if(a[i]=='?') k<<=1,
can.push_back(l-i);
else k<<=1,k+=a[i]-48;
int x=can.size();
for(int i=0;i<1<<x;i++){
int k2=k;
for(int j=0;j<x;j++)
k2|=(i>>j&1)<<can[j];
ans+=orig[k2];
}
cout<<ans<<'\n';
}
void subs(string a){
vector<int>can;
int k=0,l=a.size()-1,ans=0;
for(int i=0;i<=l;i++)
if(a[i]=='?') k=k<<1|1;
else if(a[i]=='0') k<<=1;
else can.push_back(l-i),k=k<<1|1;
int x=can.size();
for(int i=0;i<1<<x;i++){
int k2=k;
for(int j=0;j<x;j++)
k2^=(i>>j&1)<<can[j];
int y=__builtin_popcount(i)%2;
ans+=(-y*2+1)*dp1[k2];
}
cout<<ans<<'\n';
}
void sups(string a){
vector<int>can;
int k=0,l=a.size()-1,ans=0;
for(int i=0;i<=l;i++)
if(a[i]=='?') k<<=1;
else if(a[i]=='1')k=k<<1|1;
else can.push_back(l-i),k<<=1;
int x=can.size();
for(int i=0;i<1<<x;i++){
int k2=k;
for(int j=0;j<x;j++)
k2^=(i>>j&1)<<can[j];
int y=__builtin_popcount(i)%2;
ans+=(-y*2+1)*dp2[k2];
}
cout<<ans<<'\n';
}
int main(){
int n,m;
string str;
cin>>n>>m;
readst(str);
for(int i=0;i<1<<n;i++)
dp1[i]=dp2[i]=orig[i]=str[i]-48;
for(int i=0;i<n;i++) for(int j=0;j<1<<n;j++)
if(j&1<<i) dp1[j]+=dp1[j^1<<i],dp2[j^1<<i]+=dp2[j];
while(m--){
string qr;
readst(qr);
int a=0,b=0,c=0;
for(auto i:qr)
if(i=='0')
a++;
else if(i=='1')
b++;
else c++;
if(c<=6)brute(qr);
else if(b<=6)subs(qr);
else sups(qr);
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
346 ms |
15188 KB |
Output is correct |
12 |
Correct |
332 ms |
14672 KB |
Output is correct |
13 |
Correct |
254 ms |
13908 KB |
Output is correct |
14 |
Correct |
257 ms |
14176 KB |
Output is correct |
15 |
Correct |
538 ms |
15268 KB |
Output is correct |
16 |
Correct |
325 ms |
14164 KB |
Output is correct |
17 |
Correct |
316 ms |
14216 KB |
Output is correct |
18 |
Correct |
114 ms |
16192 KB |
Output is correct |
19 |
Correct |
138 ms |
12968 KB |
Output is correct |
20 |
Correct |
356 ms |
14728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
346 ms |
15188 KB |
Output is correct |
12 |
Correct |
332 ms |
14672 KB |
Output is correct |
13 |
Correct |
254 ms |
13908 KB |
Output is correct |
14 |
Correct |
257 ms |
14176 KB |
Output is correct |
15 |
Correct |
538 ms |
15268 KB |
Output is correct |
16 |
Correct |
325 ms |
14164 KB |
Output is correct |
17 |
Correct |
316 ms |
14216 KB |
Output is correct |
18 |
Correct |
114 ms |
16192 KB |
Output is correct |
19 |
Correct |
138 ms |
12968 KB |
Output is correct |
20 |
Correct |
356 ms |
14728 KB |
Output is correct |
21 |
Correct |
751 ms |
18256 KB |
Output is correct |
22 |
Correct |
368 ms |
18384 KB |
Output is correct |
23 |
Correct |
364 ms |
17236 KB |
Output is correct |
24 |
Correct |
365 ms |
17156 KB |
Output is correct |
25 |
Correct |
330 ms |
19024 KB |
Output is correct |
26 |
Correct |
425 ms |
17660 KB |
Output is correct |
27 |
Correct |
412 ms |
17656 KB |
Output is correct |
28 |
Correct |
132 ms |
20140 KB |
Output is correct |
29 |
Correct |
167 ms |
16208 KB |
Output is correct |
30 |
Correct |
504 ms |
18260 KB |
Output is correct |
31 |
Correct |
613 ms |
18056 KB |
Output is correct |
32 |
Correct |
453 ms |
18048 KB |
Output is correct |
33 |
Correct |
273 ms |
17236 KB |
Output is correct |
34 |
Correct |
346 ms |
17236 KB |
Output is correct |
35 |
Correct |
398 ms |
17492 KB |
Output is correct |
36 |
Correct |
124 ms |
16224 KB |
Output is correct |
37 |
Correct |
575 ms |
18004 KB |
Output is correct |
38 |
Correct |
178 ms |
16212 KB |
Output is correct |
39 |
Correct |
349 ms |
17308 KB |
Output is correct |
40 |
Correct |
361 ms |
17212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
48 ms |
16180 KB |
Output is correct |
12 |
Correct |
48 ms |
16188 KB |
Output is correct |
13 |
Correct |
58 ms |
15940 KB |
Output is correct |
14 |
Correct |
79 ms |
15976 KB |
Output is correct |
15 |
Correct |
56 ms |
16196 KB |
Output is correct |
16 |
Correct |
79 ms |
15940 KB |
Output is correct |
17 |
Correct |
80 ms |
15936 KB |
Output is correct |
18 |
Correct |
40 ms |
16196 KB |
Output is correct |
19 |
Correct |
44 ms |
15940 KB |
Output is correct |
20 |
Correct |
51 ms |
15940 KB |
Output is correct |
21 |
Correct |
64 ms |
16008 KB |
Output is correct |
22 |
Correct |
82 ms |
15932 KB |
Output is correct |
23 |
Correct |
50 ms |
15940 KB |
Output is correct |
24 |
Correct |
76 ms |
16132 KB |
Output is correct |
25 |
Correct |
68 ms |
15960 KB |
Output is correct |
26 |
Correct |
37 ms |
15940 KB |
Output is correct |
27 |
Correct |
46 ms |
15956 KB |
Output is correct |
28 |
Correct |
51 ms |
15932 KB |
Output is correct |
29 |
Correct |
57 ms |
15956 KB |
Output is correct |
30 |
Correct |
81 ms |
15936 KB |
Output is correct |
31 |
Correct |
50 ms |
15944 KB |
Output is correct |
32 |
Correct |
82 ms |
15940 KB |
Output is correct |
33 |
Correct |
66 ms |
15932 KB |
Output is correct |
34 |
Correct |
38 ms |
15936 KB |
Output is correct |
35 |
Correct |
67 ms |
15936 KB |
Output is correct |
36 |
Correct |
71 ms |
15936 KB |
Output is correct |
37 |
Correct |
63 ms |
15944 KB |
Output is correct |
38 |
Correct |
62 ms |
15948 KB |
Output is correct |
39 |
Correct |
61 ms |
15940 KB |
Output is correct |
40 |
Correct |
59 ms |
15932 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
346 ms |
15188 KB |
Output is correct |
12 |
Correct |
332 ms |
14672 KB |
Output is correct |
13 |
Correct |
254 ms |
13908 KB |
Output is correct |
14 |
Correct |
257 ms |
14176 KB |
Output is correct |
15 |
Correct |
538 ms |
15268 KB |
Output is correct |
16 |
Correct |
325 ms |
14164 KB |
Output is correct |
17 |
Correct |
316 ms |
14216 KB |
Output is correct |
18 |
Correct |
114 ms |
16192 KB |
Output is correct |
19 |
Correct |
138 ms |
12968 KB |
Output is correct |
20 |
Correct |
356 ms |
14728 KB |
Output is correct |
21 |
Correct |
751 ms |
18256 KB |
Output is correct |
22 |
Correct |
368 ms |
18384 KB |
Output is correct |
23 |
Correct |
364 ms |
17236 KB |
Output is correct |
24 |
Correct |
365 ms |
17156 KB |
Output is correct |
25 |
Correct |
330 ms |
19024 KB |
Output is correct |
26 |
Correct |
425 ms |
17660 KB |
Output is correct |
27 |
Correct |
412 ms |
17656 KB |
Output is correct |
28 |
Correct |
132 ms |
20140 KB |
Output is correct |
29 |
Correct |
167 ms |
16208 KB |
Output is correct |
30 |
Correct |
504 ms |
18260 KB |
Output is correct |
31 |
Correct |
613 ms |
18056 KB |
Output is correct |
32 |
Correct |
453 ms |
18048 KB |
Output is correct |
33 |
Correct |
273 ms |
17236 KB |
Output is correct |
34 |
Correct |
346 ms |
17236 KB |
Output is correct |
35 |
Correct |
398 ms |
17492 KB |
Output is correct |
36 |
Correct |
124 ms |
16224 KB |
Output is correct |
37 |
Correct |
575 ms |
18004 KB |
Output is correct |
38 |
Correct |
178 ms |
16212 KB |
Output is correct |
39 |
Correct |
349 ms |
17308 KB |
Output is correct |
40 |
Correct |
361 ms |
17212 KB |
Output is correct |
41 |
Correct |
48 ms |
16180 KB |
Output is correct |
42 |
Correct |
48 ms |
16188 KB |
Output is correct |
43 |
Correct |
58 ms |
15940 KB |
Output is correct |
44 |
Correct |
79 ms |
15976 KB |
Output is correct |
45 |
Correct |
56 ms |
16196 KB |
Output is correct |
46 |
Correct |
79 ms |
15940 KB |
Output is correct |
47 |
Correct |
80 ms |
15936 KB |
Output is correct |
48 |
Correct |
40 ms |
16196 KB |
Output is correct |
49 |
Correct |
44 ms |
15940 KB |
Output is correct |
50 |
Correct |
51 ms |
15940 KB |
Output is correct |
51 |
Correct |
64 ms |
16008 KB |
Output is correct |
52 |
Correct |
82 ms |
15932 KB |
Output is correct |
53 |
Correct |
50 ms |
15940 KB |
Output is correct |
54 |
Correct |
76 ms |
16132 KB |
Output is correct |
55 |
Correct |
68 ms |
15960 KB |
Output is correct |
56 |
Correct |
37 ms |
15940 KB |
Output is correct |
57 |
Correct |
46 ms |
15956 KB |
Output is correct |
58 |
Correct |
51 ms |
15932 KB |
Output is correct |
59 |
Correct |
57 ms |
15956 KB |
Output is correct |
60 |
Correct |
81 ms |
15936 KB |
Output is correct |
61 |
Correct |
50 ms |
15944 KB |
Output is correct |
62 |
Correct |
82 ms |
15940 KB |
Output is correct |
63 |
Correct |
66 ms |
15932 KB |
Output is correct |
64 |
Correct |
38 ms |
15936 KB |
Output is correct |
65 |
Correct |
67 ms |
15936 KB |
Output is correct |
66 |
Correct |
71 ms |
15936 KB |
Output is correct |
67 |
Correct |
63 ms |
15944 KB |
Output is correct |
68 |
Correct |
62 ms |
15948 KB |
Output is correct |
69 |
Correct |
61 ms |
15940 KB |
Output is correct |
70 |
Correct |
59 ms |
15932 KB |
Output is correct |
71 |
Correct |
393 ms |
40256 KB |
Output is correct |
72 |
Correct |
422 ms |
40512 KB |
Output is correct |
73 |
Correct |
625 ms |
39020 KB |
Output is correct |
74 |
Correct |
1046 ms |
39220 KB |
Output is correct |
75 |
Correct |
559 ms |
41284 KB |
Output is correct |
76 |
Correct |
909 ms |
39748 KB |
Output is correct |
77 |
Correct |
796 ms |
39492 KB |
Output is correct |
78 |
Correct |
241 ms |
43336 KB |
Output is correct |
79 |
Correct |
332 ms |
37180 KB |
Output is correct |
80 |
Correct |
458 ms |
40508 KB |
Output is correct |
81 |
Correct |
749 ms |
40196 KB |
Output is correct |
82 |
Correct |
1060 ms |
39256 KB |
Output is correct |
83 |
Correct |
448 ms |
38744 KB |
Output is correct |
84 |
Correct |
818 ms |
39228 KB |
Output is correct |
85 |
Correct |
768 ms |
39480 KB |
Output is correct |
86 |
Correct |
218 ms |
37232 KB |
Output is correct |
87 |
Correct |
362 ms |
40312 KB |
Output is correct |
88 |
Correct |
288 ms |
37208 KB |
Output is correct |
89 |
Correct |
549 ms |
39048 KB |
Output is correct |
90 |
Correct |
803 ms |
39392 KB |
Output is correct |
91 |
Correct |
477 ms |
38472 KB |
Output is correct |
92 |
Correct |
896 ms |
39744 KB |
Output is correct |
93 |
Correct |
717 ms |
39540 KB |
Output is correct |
94 |
Correct |
198 ms |
37308 KB |
Output is correct |
95 |
Correct |
638 ms |
39396 KB |
Output is correct |
96 |
Correct |
655 ms |
39488 KB |
Output is correct |
97 |
Correct |
623 ms |
39500 KB |
Output is correct |
98 |
Correct |
615 ms |
39492 KB |
Output is correct |
99 |
Correct |
633 ms |
39484 KB |
Output is correct |
100 |
Correct |
616 ms |
39488 KB |
Output is correct |