#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pi;
typedef pair<long long,long long> pl;
#define all(s) s.begin(),s.end()
#define F first
#define S second
#define sz(a) a.size()
const ll mod = 1e9+7;
const ll INF = 1e18;
const int inf = 1e9+200;
const int N=1e5 + 10;
int n,q;
ll a[11*N];
ll sub[11*N],sup[11*N];
void solve() {
cin>>n>>q;
for(int i=0;i<(1<<n);++i) {
char cc;
cin>>cc;
a[i]=(cc-'0');
}
for(int i=0;i<(1<<n);++i) {
sub[i]=a[i];
sup[i]=a[i];
}
for(int i=0;i<n;++i) {
for(int mask=0;mask<(1<<n);++mask) {
if(mask & (1<<i)) {
sub[mask] += sub[mask^(1<<i)];
}
}
}
for(int i=0;i<n;++i) {
for(int mask=(1<<n)-1;mask>=0;--mask) {
if(!(mask & (1<<i))) {
sup[mask] += sup[mask^(1<<i)];
}
}
}
while(q--) {
string s;
cin>>s;
int cnt[3];
fill(cnt,cnt+3,0);
ll sum=0;
vector<int> b;
reverse(all(s));
vector<int> b1;
vector<int> b2;
for(int i=0;i<n;++i) {
if(s[i]=='?') {
cnt[2]++;
b.push_back(i);
}
else if(s[i]=='1') {
cnt[1]++;
sum+=(1<<i);
b1.push_back(i);
}
else {
cnt[0]++;
b2.push_back(i);
}
}
if(cnt[2]<=6) {
int ans = 0;
for(int mask=0;mask<(1<<cnt[2]);++mask) {
int t=0;
for(int i=0;i<cnt[2];++i) {
if((mask>>i)&1) {
t+=(1<<(b[i]));
}
}
ans+=a[sum + t];
}
cout<<ans<<'\n';
}
else if(cnt[1]<=6) {
int ans = 0;
for(int i=0;i<n;++i) {
if(s[i]=='?'){
sum+=(1<<i);
}
}
for(int mask=0;mask<(1<<cnt[1]);++mask) {
int t=0;
for(int i=0;i<cnt[1];++i) {
if(!((mask>>i)&1)) {
t+=(1<<(b1[i]));
}
}
if((cnt[1]-__builtin_popcount(mask))&1) {
ans-=sub[sum-t];
}
else {
ans+=sub[sum-t];
}
}
cout<<ans<<'\n';
}
else if(cnt[0]<=6) {
int ans = 0;
for(int mask=0;mask<(1<<cnt[0]);++mask) {
int t=0;
for(int i=0;i<cnt[0];++i) {
if(((mask>>i)&1)) {
t+=(1<<(b2[i]));
}
}
if((__builtin_popcount(mask))&1) {
ans-=sup[sum+t];
}
else {
ans+=sup[sum+t];
}
}
cout<<ans<<'\n';
}
}
}
int main() {
ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0);
int T=1;
//cin>>T;
while(T--) {
solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 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 |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 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 |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
356 ms |
19540 KB |
Output is correct |
12 |
Correct |
391 ms |
18768 KB |
Output is correct |
13 |
Correct |
305 ms |
18244 KB |
Output is correct |
14 |
Correct |
297 ms |
18524 KB |
Output is correct |
15 |
Correct |
519 ms |
19288 KB |
Output is correct |
16 |
Correct |
351 ms |
18712 KB |
Output is correct |
17 |
Correct |
361 ms |
18256 KB |
Output is correct |
18 |
Correct |
200 ms |
20240 KB |
Output is correct |
19 |
Correct |
234 ms |
17232 KB |
Output is correct |
20 |
Correct |
409 ms |
19028 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 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 |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
356 ms |
19540 KB |
Output is correct |
12 |
Correct |
391 ms |
18768 KB |
Output is correct |
13 |
Correct |
305 ms |
18244 KB |
Output is correct |
14 |
Correct |
297 ms |
18524 KB |
Output is correct |
15 |
Correct |
519 ms |
19288 KB |
Output is correct |
16 |
Correct |
351 ms |
18712 KB |
Output is correct |
17 |
Correct |
361 ms |
18256 KB |
Output is correct |
18 |
Correct |
200 ms |
20240 KB |
Output is correct |
19 |
Correct |
234 ms |
17232 KB |
Output is correct |
20 |
Correct |
409 ms |
19028 KB |
Output is correct |
21 |
Correct |
844 ms |
22092 KB |
Output is correct |
22 |
Correct |
413 ms |
22248 KB |
Output is correct |
23 |
Correct |
398 ms |
21328 KB |
Output is correct |
24 |
Correct |
384 ms |
21240 KB |
Output is correct |
25 |
Correct |
380 ms |
23124 KB |
Output is correct |
26 |
Correct |
458 ms |
21864 KB |
Output is correct |
27 |
Correct |
485 ms |
21584 KB |
Output is correct |
28 |
Correct |
186 ms |
24148 KB |
Output is correct |
29 |
Correct |
256 ms |
20308 KB |
Output is correct |
30 |
Correct |
605 ms |
22400 KB |
Output is correct |
31 |
Correct |
612 ms |
22100 KB |
Output is correct |
32 |
Correct |
459 ms |
22100 KB |
Output is correct |
33 |
Correct |
346 ms |
21032 KB |
Output is correct |
34 |
Correct |
413 ms |
21112 KB |
Output is correct |
35 |
Correct |
551 ms |
21560 KB |
Output is correct |
36 |
Correct |
191 ms |
20268 KB |
Output is correct |
37 |
Correct |
576 ms |
22300 KB |
Output is correct |
38 |
Correct |
414 ms |
20164 KB |
Output is correct |
39 |
Correct |
502 ms |
21428 KB |
Output is correct |
40 |
Correct |
470 ms |
21312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 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 |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
93 ms |
27988 KB |
Output is correct |
12 |
Correct |
71 ms |
28172 KB |
Output is correct |
13 |
Correct |
96 ms |
27900 KB |
Output is correct |
14 |
Correct |
91 ms |
27916 KB |
Output is correct |
15 |
Correct |
76 ms |
28164 KB |
Output is correct |
16 |
Correct |
152 ms |
28072 KB |
Output is correct |
17 |
Correct |
123 ms |
27988 KB |
Output is correct |
18 |
Correct |
53 ms |
28172 KB |
Output is correct |
19 |
Correct |
69 ms |
27984 KB |
Output is correct |
20 |
Correct |
77 ms |
27984 KB |
Output is correct |
21 |
Correct |
112 ms |
27988 KB |
Output is correct |
22 |
Correct |
134 ms |
28096 KB |
Output is correct |
23 |
Correct |
62 ms |
27988 KB |
Output is correct |
24 |
Correct |
86 ms |
27988 KB |
Output is correct |
25 |
Correct |
126 ms |
27904 KB |
Output is correct |
26 |
Correct |
88 ms |
27984 KB |
Output is correct |
27 |
Correct |
99 ms |
28156 KB |
Output is correct |
28 |
Correct |
74 ms |
27836 KB |
Output is correct |
29 |
Correct |
84 ms |
27900 KB |
Output is correct |
30 |
Correct |
86 ms |
27904 KB |
Output is correct |
31 |
Correct |
68 ms |
27904 KB |
Output is correct |
32 |
Correct |
118 ms |
27900 KB |
Output is correct |
33 |
Correct |
97 ms |
27900 KB |
Output is correct |
34 |
Correct |
60 ms |
27844 KB |
Output is correct |
35 |
Correct |
96 ms |
28092 KB |
Output is correct |
36 |
Correct |
100 ms |
27908 KB |
Output is correct |
37 |
Correct |
92 ms |
28076 KB |
Output is correct |
38 |
Correct |
89 ms |
27904 KB |
Output is correct |
39 |
Correct |
88 ms |
27904 KB |
Output is correct |
40 |
Correct |
95 ms |
27984 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 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 |
4440 KB |
Output is correct |
9 |
Correct |
2 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
356 ms |
19540 KB |
Output is correct |
12 |
Correct |
391 ms |
18768 KB |
Output is correct |
13 |
Correct |
305 ms |
18244 KB |
Output is correct |
14 |
Correct |
297 ms |
18524 KB |
Output is correct |
15 |
Correct |
519 ms |
19288 KB |
Output is correct |
16 |
Correct |
351 ms |
18712 KB |
Output is correct |
17 |
Correct |
361 ms |
18256 KB |
Output is correct |
18 |
Correct |
200 ms |
20240 KB |
Output is correct |
19 |
Correct |
234 ms |
17232 KB |
Output is correct |
20 |
Correct |
409 ms |
19028 KB |
Output is correct |
21 |
Correct |
844 ms |
22092 KB |
Output is correct |
22 |
Correct |
413 ms |
22248 KB |
Output is correct |
23 |
Correct |
398 ms |
21328 KB |
Output is correct |
24 |
Correct |
384 ms |
21240 KB |
Output is correct |
25 |
Correct |
380 ms |
23124 KB |
Output is correct |
26 |
Correct |
458 ms |
21864 KB |
Output is correct |
27 |
Correct |
485 ms |
21584 KB |
Output is correct |
28 |
Correct |
186 ms |
24148 KB |
Output is correct |
29 |
Correct |
256 ms |
20308 KB |
Output is correct |
30 |
Correct |
605 ms |
22400 KB |
Output is correct |
31 |
Correct |
612 ms |
22100 KB |
Output is correct |
32 |
Correct |
459 ms |
22100 KB |
Output is correct |
33 |
Correct |
346 ms |
21032 KB |
Output is correct |
34 |
Correct |
413 ms |
21112 KB |
Output is correct |
35 |
Correct |
551 ms |
21560 KB |
Output is correct |
36 |
Correct |
191 ms |
20268 KB |
Output is correct |
37 |
Correct |
576 ms |
22300 KB |
Output is correct |
38 |
Correct |
414 ms |
20164 KB |
Output is correct |
39 |
Correct |
502 ms |
21428 KB |
Output is correct |
40 |
Correct |
470 ms |
21312 KB |
Output is correct |
41 |
Correct |
93 ms |
27988 KB |
Output is correct |
42 |
Correct |
71 ms |
28172 KB |
Output is correct |
43 |
Correct |
96 ms |
27900 KB |
Output is correct |
44 |
Correct |
91 ms |
27916 KB |
Output is correct |
45 |
Correct |
76 ms |
28164 KB |
Output is correct |
46 |
Correct |
152 ms |
28072 KB |
Output is correct |
47 |
Correct |
123 ms |
27988 KB |
Output is correct |
48 |
Correct |
53 ms |
28172 KB |
Output is correct |
49 |
Correct |
69 ms |
27984 KB |
Output is correct |
50 |
Correct |
77 ms |
27984 KB |
Output is correct |
51 |
Correct |
112 ms |
27988 KB |
Output is correct |
52 |
Correct |
134 ms |
28096 KB |
Output is correct |
53 |
Correct |
62 ms |
27988 KB |
Output is correct |
54 |
Correct |
86 ms |
27988 KB |
Output is correct |
55 |
Correct |
126 ms |
27904 KB |
Output is correct |
56 |
Correct |
88 ms |
27984 KB |
Output is correct |
57 |
Correct |
99 ms |
28156 KB |
Output is correct |
58 |
Correct |
74 ms |
27836 KB |
Output is correct |
59 |
Correct |
84 ms |
27900 KB |
Output is correct |
60 |
Correct |
86 ms |
27904 KB |
Output is correct |
61 |
Correct |
68 ms |
27904 KB |
Output is correct |
62 |
Correct |
118 ms |
27900 KB |
Output is correct |
63 |
Correct |
97 ms |
27900 KB |
Output is correct |
64 |
Correct |
60 ms |
27844 KB |
Output is correct |
65 |
Correct |
96 ms |
28092 KB |
Output is correct |
66 |
Correct |
100 ms |
27908 KB |
Output is correct |
67 |
Correct |
92 ms |
28076 KB |
Output is correct |
68 |
Correct |
89 ms |
27904 KB |
Output is correct |
69 |
Correct |
88 ms |
27904 KB |
Output is correct |
70 |
Correct |
95 ms |
27984 KB |
Output is correct |
71 |
Correct |
485 ms |
52432 KB |
Output is correct |
72 |
Correct |
609 ms |
52540 KB |
Output is correct |
73 |
Correct |
747 ms |
50944 KB |
Output is correct |
74 |
Correct |
1215 ms |
51232 KB |
Output is correct |
75 |
Correct |
646 ms |
53376 KB |
Output is correct |
76 |
Correct |
948 ms |
51572 KB |
Output is correct |
77 |
Correct |
847 ms |
51560 KB |
Output is correct |
78 |
Correct |
272 ms |
55412 KB |
Output is correct |
79 |
Correct |
394 ms |
49416 KB |
Output is correct |
80 |
Correct |
460 ms |
52560 KB |
Output is correct |
81 |
Correct |
822 ms |
52336 KB |
Output is correct |
82 |
Correct |
956 ms |
51460 KB |
Output is correct |
83 |
Correct |
493 ms |
50564 KB |
Output is correct |
84 |
Correct |
851 ms |
51460 KB |
Output is correct |
85 |
Correct |
844 ms |
51476 KB |
Output is correct |
86 |
Correct |
246 ms |
49444 KB |
Output is correct |
87 |
Correct |
512 ms |
52308 KB |
Output is correct |
88 |
Correct |
467 ms |
49408 KB |
Output is correct |
89 |
Correct |
667 ms |
50980 KB |
Output is correct |
90 |
Correct |
865 ms |
51300 KB |
Output is correct |
91 |
Correct |
545 ms |
50576 KB |
Output is correct |
92 |
Correct |
1137 ms |
51744 KB |
Output is correct |
93 |
Correct |
1036 ms |
51504 KB |
Output is correct |
94 |
Correct |
274 ms |
49416 KB |
Output is correct |
95 |
Correct |
835 ms |
51516 KB |
Output is correct |
96 |
Correct |
774 ms |
51536 KB |
Output is correct |
97 |
Correct |
707 ms |
51536 KB |
Output is correct |
98 |
Correct |
741 ms |
51540 KB |
Output is correct |
99 |
Correct |
755 ms |
51540 KB |
Output is correct |
100 |
Correct |
700 ms |
51544 KB |
Output is correct |