#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pii pair<int,int>
#define pb push_back
const int mn=1e5+5;
const int mod=1e9+7;
int dp[1100000][2];
int a[1100000];
signed main(){
//freopen("","r",stdin);
//freopen("","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
int l,q;
cin>>l>>q;
for (int i=0;i<(1<<l);i++){
char c;
cin>>c;
dp[i][0]=c-'0';
dp[i][1]=c-'0';
a[i]=c-'0';
}
for (int i=0;i<l;i++){
for (int mask=0;mask<(1<<l);mask++){
if (mask>>i&1){
dp[mask][0]+=dp[mask^(1<<i)][0];
}
}
}
for (int i=0;i<l;i++){
for (int mask=(1<<l)-1;mask;mask--){
if (mask>>i&1){
dp[mask^(1<<i)][1]+=dp[mask][1];
}
}
}
while (q--){
string s;
cin>>s;
vector<int> pos,p0,p1;
int c0=0,c1=0,c2=0;
int m=0;
for (int i=0;i<l;i++){
if (s[i]=='0') {
c0++;
p0.pb(i);
}
else if (s[i]=='1'){
c1++;
m^=(1<<(l-i-1));
p1.pb(i);
}
else {
c2++;
pos.pb(i);
}
}
int ans=0;
if (c0<=6){
for (int mask=0;mask<(1<<c0);mask++){
int msk=m;
int cnt=0;
for (int i=0;i<c0;i++){
if (mask>>i&1) {
msk^=(1<<(l-p0[i]-1));
}
else cnt++;
}
if ((cnt&1)==(c0&1))ans+=dp[msk][1];
else ans-=dp[msk][1];
}
}
else if (c1<=6){
for (int i=0;i<c2;i++){
m^=(1<<(l-pos[i]-1));
}
for (int mask=0;mask<(1<<c1);mask++){
int msk=m;
int cnt=0;
for (int i=0;i<c1;i++){
if (mask>>i&1) cnt++;
else{
msk^=(1<<(l-p1[i]-1));
}
}
if ((cnt&1)==(c1&1))ans+=dp[msk][0];
else ans-=dp[msk][0];
}
}
else{
for (int mask=0;mask<(1<<c2);mask++){
int msk=m;
for (int i=0;i<c2;i++){
if (mask>>i&1) msk+=(1<<(l-pos[i]-1));
}
ans+=a[msk];
}
}
cout<<ans<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2520 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 |
2408 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 |
2520 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 |
2408 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 |
293 ms |
17236 KB |
Output is correct |
12 |
Correct |
447 ms |
16720 KB |
Output is correct |
13 |
Correct |
445 ms |
16208 KB |
Output is correct |
14 |
Correct |
335 ms |
16196 KB |
Output is correct |
15 |
Correct |
310 ms |
17168 KB |
Output is correct |
16 |
Correct |
329 ms |
16416 KB |
Output is correct |
17 |
Correct |
399 ms |
16212 KB |
Output is correct |
18 |
Correct |
188 ms |
18156 KB |
Output is correct |
19 |
Correct |
399 ms |
15184 KB |
Output is correct |
20 |
Correct |
278 ms |
16724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2520 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 |
2408 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 |
293 ms |
17236 KB |
Output is correct |
12 |
Correct |
447 ms |
16720 KB |
Output is correct |
13 |
Correct |
445 ms |
16208 KB |
Output is correct |
14 |
Correct |
335 ms |
16196 KB |
Output is correct |
15 |
Correct |
310 ms |
17168 KB |
Output is correct |
16 |
Correct |
329 ms |
16416 KB |
Output is correct |
17 |
Correct |
399 ms |
16212 KB |
Output is correct |
18 |
Correct |
188 ms |
18156 KB |
Output is correct |
19 |
Correct |
399 ms |
15184 KB |
Output is correct |
20 |
Correct |
278 ms |
16724 KB |
Output is correct |
21 |
Correct |
302 ms |
20044 KB |
Output is correct |
22 |
Correct |
456 ms |
20304 KB |
Output is correct |
23 |
Correct |
734 ms |
19320 KB |
Output is correct |
24 |
Correct |
494 ms |
19056 KB |
Output is correct |
25 |
Correct |
353 ms |
21076 KB |
Output is correct |
26 |
Correct |
467 ms |
19792 KB |
Output is correct |
27 |
Correct |
534 ms |
19632 KB |
Output is correct |
28 |
Correct |
191 ms |
22216 KB |
Output is correct |
29 |
Correct |
635 ms |
18256 KB |
Output is correct |
30 |
Correct |
326 ms |
20300 KB |
Output is correct |
31 |
Correct |
476 ms |
20304 KB |
Output is correct |
32 |
Correct |
429 ms |
20096 KB |
Output is correct |
33 |
Correct |
343 ms |
19028 KB |
Output is correct |
34 |
Correct |
529 ms |
19160 KB |
Output is correct |
35 |
Correct |
524 ms |
19680 KB |
Output is correct |
36 |
Correct |
182 ms |
18260 KB |
Output is correct |
37 |
Correct |
285 ms |
20044 KB |
Output is correct |
38 |
Correct |
600 ms |
18256 KB |
Output is correct |
39 |
Correct |
462 ms |
19348 KB |
Output is correct |
40 |
Correct |
401 ms |
19220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2520 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 |
2408 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 |
67 ms |
27732 KB |
Output is correct |
12 |
Correct |
68 ms |
27688 KB |
Output is correct |
13 |
Correct |
82 ms |
27520 KB |
Output is correct |
14 |
Correct |
96 ms |
27476 KB |
Output is correct |
15 |
Correct |
76 ms |
27732 KB |
Output is correct |
16 |
Correct |
97 ms |
27736 KB |
Output is correct |
17 |
Correct |
95 ms |
27520 KB |
Output is correct |
18 |
Correct |
59 ms |
27728 KB |
Output is correct |
19 |
Correct |
65 ms |
27532 KB |
Output is correct |
20 |
Correct |
67 ms |
27728 KB |
Output is correct |
21 |
Correct |
83 ms |
27732 KB |
Output is correct |
22 |
Correct |
97 ms |
27512 KB |
Output is correct |
23 |
Correct |
79 ms |
27512 KB |
Output is correct |
24 |
Correct |
99 ms |
27596 KB |
Output is correct |
25 |
Correct |
104 ms |
27732 KB |
Output is correct |
26 |
Correct |
57 ms |
27516 KB |
Output is correct |
27 |
Correct |
71 ms |
27728 KB |
Output is correct |
28 |
Correct |
71 ms |
27528 KB |
Output is correct |
29 |
Correct |
82 ms |
27476 KB |
Output is correct |
30 |
Correct |
124 ms |
27500 KB |
Output is correct |
31 |
Correct |
74 ms |
27476 KB |
Output is correct |
32 |
Correct |
104 ms |
27728 KB |
Output is correct |
33 |
Correct |
93 ms |
27732 KB |
Output is correct |
34 |
Correct |
57 ms |
27476 KB |
Output is correct |
35 |
Correct |
91 ms |
27732 KB |
Output is correct |
36 |
Correct |
85 ms |
27728 KB |
Output is correct |
37 |
Correct |
89 ms |
27732 KB |
Output is correct |
38 |
Correct |
84 ms |
27512 KB |
Output is correct |
39 |
Correct |
83 ms |
27476 KB |
Output is correct |
40 |
Correct |
77 ms |
27728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2520 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 |
2408 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 |
293 ms |
17236 KB |
Output is correct |
12 |
Correct |
447 ms |
16720 KB |
Output is correct |
13 |
Correct |
445 ms |
16208 KB |
Output is correct |
14 |
Correct |
335 ms |
16196 KB |
Output is correct |
15 |
Correct |
310 ms |
17168 KB |
Output is correct |
16 |
Correct |
329 ms |
16416 KB |
Output is correct |
17 |
Correct |
399 ms |
16212 KB |
Output is correct |
18 |
Correct |
188 ms |
18156 KB |
Output is correct |
19 |
Correct |
399 ms |
15184 KB |
Output is correct |
20 |
Correct |
278 ms |
16724 KB |
Output is correct |
21 |
Correct |
302 ms |
20044 KB |
Output is correct |
22 |
Correct |
456 ms |
20304 KB |
Output is correct |
23 |
Correct |
734 ms |
19320 KB |
Output is correct |
24 |
Correct |
494 ms |
19056 KB |
Output is correct |
25 |
Correct |
353 ms |
21076 KB |
Output is correct |
26 |
Correct |
467 ms |
19792 KB |
Output is correct |
27 |
Correct |
534 ms |
19632 KB |
Output is correct |
28 |
Correct |
191 ms |
22216 KB |
Output is correct |
29 |
Correct |
635 ms |
18256 KB |
Output is correct |
30 |
Correct |
326 ms |
20300 KB |
Output is correct |
31 |
Correct |
476 ms |
20304 KB |
Output is correct |
32 |
Correct |
429 ms |
20096 KB |
Output is correct |
33 |
Correct |
343 ms |
19028 KB |
Output is correct |
34 |
Correct |
529 ms |
19160 KB |
Output is correct |
35 |
Correct |
524 ms |
19680 KB |
Output is correct |
36 |
Correct |
182 ms |
18260 KB |
Output is correct |
37 |
Correct |
285 ms |
20044 KB |
Output is correct |
38 |
Correct |
600 ms |
18256 KB |
Output is correct |
39 |
Correct |
462 ms |
19348 KB |
Output is correct |
40 |
Correct |
401 ms |
19220 KB |
Output is correct |
41 |
Correct |
67 ms |
27732 KB |
Output is correct |
42 |
Correct |
68 ms |
27688 KB |
Output is correct |
43 |
Correct |
82 ms |
27520 KB |
Output is correct |
44 |
Correct |
96 ms |
27476 KB |
Output is correct |
45 |
Correct |
76 ms |
27732 KB |
Output is correct |
46 |
Correct |
97 ms |
27736 KB |
Output is correct |
47 |
Correct |
95 ms |
27520 KB |
Output is correct |
48 |
Correct |
59 ms |
27728 KB |
Output is correct |
49 |
Correct |
65 ms |
27532 KB |
Output is correct |
50 |
Correct |
67 ms |
27728 KB |
Output is correct |
51 |
Correct |
83 ms |
27732 KB |
Output is correct |
52 |
Correct |
97 ms |
27512 KB |
Output is correct |
53 |
Correct |
79 ms |
27512 KB |
Output is correct |
54 |
Correct |
99 ms |
27596 KB |
Output is correct |
55 |
Correct |
104 ms |
27732 KB |
Output is correct |
56 |
Correct |
57 ms |
27516 KB |
Output is correct |
57 |
Correct |
71 ms |
27728 KB |
Output is correct |
58 |
Correct |
71 ms |
27528 KB |
Output is correct |
59 |
Correct |
82 ms |
27476 KB |
Output is correct |
60 |
Correct |
124 ms |
27500 KB |
Output is correct |
61 |
Correct |
74 ms |
27476 KB |
Output is correct |
62 |
Correct |
104 ms |
27728 KB |
Output is correct |
63 |
Correct |
93 ms |
27732 KB |
Output is correct |
64 |
Correct |
57 ms |
27476 KB |
Output is correct |
65 |
Correct |
91 ms |
27732 KB |
Output is correct |
66 |
Correct |
85 ms |
27728 KB |
Output is correct |
67 |
Correct |
89 ms |
27732 KB |
Output is correct |
68 |
Correct |
84 ms |
27512 KB |
Output is correct |
69 |
Correct |
83 ms |
27476 KB |
Output is correct |
70 |
Correct |
77 ms |
27728 KB |
Output is correct |
71 |
Correct |
485 ms |
52048 KB |
Output is correct |
72 |
Correct |
508 ms |
52064 KB |
Output is correct |
73 |
Correct |
831 ms |
50512 KB |
Output is correct |
74 |
Correct |
1041 ms |
51012 KB |
Output is correct |
75 |
Correct |
576 ms |
53076 KB |
Output is correct |
76 |
Correct |
1010 ms |
51284 KB |
Output is correct |
77 |
Correct |
931 ms |
51056 KB |
Output is correct |
78 |
Correct |
292 ms |
54868 KB |
Output is correct |
79 |
Correct |
465 ms |
48980 KB |
Output is correct |
80 |
Correct |
482 ms |
51968 KB |
Output is correct |
81 |
Correct |
756 ms |
52056 KB |
Output is correct |
82 |
Correct |
970 ms |
51048 KB |
Output is correct |
83 |
Correct |
560 ms |
50296 KB |
Output is correct |
84 |
Correct |
970 ms |
50836 KB |
Output is correct |
85 |
Correct |
905 ms |
51176 KB |
Output is correct |
86 |
Correct |
293 ms |
49040 KB |
Output is correct |
87 |
Correct |
438 ms |
52048 KB |
Output is correct |
88 |
Correct |
504 ms |
48976 KB |
Output is correct |
89 |
Correct |
803 ms |
50508 KB |
Output is correct |
90 |
Correct |
987 ms |
50904 KB |
Output is correct |
91 |
Correct |
604 ms |
50000 KB |
Output is correct |
92 |
Correct |
1034 ms |
51372 KB |
Output is correct |
93 |
Correct |
978 ms |
51132 KB |
Output is correct |
94 |
Correct |
267 ms |
48980 KB |
Output is correct |
95 |
Correct |
754 ms |
51056 KB |
Output is correct |
96 |
Correct |
764 ms |
50976 KB |
Output is correct |
97 |
Correct |
782 ms |
51132 KB |
Output is correct |
98 |
Correct |
732 ms |
50964 KB |
Output is correct |
99 |
Correct |
787 ms |
51068 KB |
Output is correct |
100 |
Correct |
801 ms |
51028 KB |
Output is correct |