#include<bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define BIT(x,i) (((x)>>(i))&1)
using namespace std;
typedef long long ll;
int dp[1<<20];
int dp1[1<<20];
int l,q;
int sum=0;
string a;
signed main(){
// freopen("input.inp","r",stdin);
// freopen("output.out","w",stdout);
cin.tie(0),cout.tie(0)->sync_with_stdio(0);
cin >> l >> q;
cin >> a;
for(int i=0;i<(1<<l);i++){
int num=a[i]-'0';
dp[i]=num;
dp1[i]=num;
}
for(int i=0;i<l;i++){
for(int j=0;j<(1<<l);j++){
if((1<<i)&j)dp[j]+=dp[j^(1<<i)];
else dp1[j]+=dp1[j^(1<<i)];
}
}
for(int i=1;i<=q;i++){
string s;
cin >> s;
int mask0=0;
int num0=0,num1=0,num2=0,mask1=0,mask2=0;
int sum=0;
for(int j=0;j<l;j++){
if(s[l-1-j]=='?'){
mask2^=(1<<j);
num2++;
}
if(s[l-1-j]=='0'){
mask0^=(1<<j);
num0++;
}
if(s[l-1-j]=='1'){
mask1^=(1<<j);
num1++;
}
}
if(num0<=min(num1,num2)){
for(int j=mask0;j>=0;j=(j-1)&mask0){
if(__builtin_popcount(j)%2==0){
sum+=dp1[mask1^j];
}
else{
sum-=dp1[mask1^j];
}
if(j==0)break;
}
}
else if(num1<=min(num0,num2)){
for(int j=mask1;j>=0;j=(j-1)&mask1){
if((__builtin_popcount(j)&1)==(__builtin_popcount(mask1)&1)){
sum+=dp[j^mask2];
}
else{
sum-=dp[j^mask2];
}
if(j==0)break;
}
}
else{
for(int j=mask2;j>=0;j=(j-1)&mask2){
sum+=a[j^mask1]-'0';
if(j==0)break;
}
}
cout << sum << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 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 |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 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 |
2392 KB |
Output is correct |
11 |
Correct |
174 ms |
6416 KB |
Output is correct |
12 |
Correct |
224 ms |
5972 KB |
Output is correct |
13 |
Correct |
205 ms |
5292 KB |
Output is correct |
14 |
Correct |
238 ms |
5344 KB |
Output is correct |
15 |
Correct |
195 ms |
6324 KB |
Output is correct |
16 |
Correct |
234 ms |
5456 KB |
Output is correct |
17 |
Correct |
244 ms |
5460 KB |
Output is correct |
18 |
Correct |
150 ms |
7596 KB |
Output is correct |
19 |
Correct |
218 ms |
4480 KB |
Output is correct |
20 |
Correct |
199 ms |
6068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 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 |
2392 KB |
Output is correct |
11 |
Correct |
174 ms |
6416 KB |
Output is correct |
12 |
Correct |
224 ms |
5972 KB |
Output is correct |
13 |
Correct |
205 ms |
5292 KB |
Output is correct |
14 |
Correct |
238 ms |
5344 KB |
Output is correct |
15 |
Correct |
195 ms |
6324 KB |
Output is correct |
16 |
Correct |
234 ms |
5456 KB |
Output is correct |
17 |
Correct |
244 ms |
5460 KB |
Output is correct |
18 |
Correct |
150 ms |
7596 KB |
Output is correct |
19 |
Correct |
218 ms |
4480 KB |
Output is correct |
20 |
Correct |
199 ms |
6068 KB |
Output is correct |
21 |
Correct |
195 ms |
6440 KB |
Output is correct |
22 |
Correct |
231 ms |
6484 KB |
Output is correct |
23 |
Correct |
255 ms |
5584 KB |
Output is correct |
24 |
Correct |
301 ms |
5632 KB |
Output is correct |
25 |
Correct |
231 ms |
7552 KB |
Output is correct |
26 |
Correct |
338 ms |
6024 KB |
Output is correct |
27 |
Correct |
282 ms |
5972 KB |
Output is correct |
28 |
Correct |
173 ms |
8456 KB |
Output is correct |
29 |
Correct |
179 ms |
4436 KB |
Output is correct |
30 |
Correct |
204 ms |
6592 KB |
Output is correct |
31 |
Correct |
252 ms |
6492 KB |
Output is correct |
32 |
Correct |
370 ms |
6512 KB |
Output is correct |
33 |
Correct |
231 ms |
5468 KB |
Output is correct |
34 |
Correct |
267 ms |
5464 KB |
Output is correct |
35 |
Correct |
272 ms |
5812 KB |
Output is correct |
36 |
Correct |
157 ms |
4464 KB |
Output is correct |
37 |
Correct |
254 ms |
6488 KB |
Output is correct |
38 |
Correct |
195 ms |
4432 KB |
Output is correct |
39 |
Correct |
234 ms |
5652 KB |
Output is correct |
40 |
Correct |
336 ms |
5424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 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 |
2392 KB |
Output is correct |
11 |
Correct |
40 ms |
9968 KB |
Output is correct |
12 |
Correct |
39 ms |
9980 KB |
Output is correct |
13 |
Correct |
57 ms |
9844 KB |
Output is correct |
14 |
Correct |
55 ms |
9972 KB |
Output is correct |
15 |
Correct |
44 ms |
10048 KB |
Output is correct |
16 |
Correct |
53 ms |
10020 KB |
Output is correct |
17 |
Correct |
59 ms |
9904 KB |
Output is correct |
18 |
Correct |
36 ms |
9968 KB |
Output is correct |
19 |
Correct |
52 ms |
9736 KB |
Output is correct |
20 |
Correct |
41 ms |
10000 KB |
Output is correct |
21 |
Correct |
54 ms |
10044 KB |
Output is correct |
22 |
Correct |
54 ms |
9976 KB |
Output is correct |
23 |
Correct |
54 ms |
9820 KB |
Output is correct |
24 |
Correct |
67 ms |
9836 KB |
Output is correct |
25 |
Correct |
53 ms |
9808 KB |
Output is correct |
26 |
Correct |
30 ms |
9728 KB |
Output is correct |
27 |
Correct |
38 ms |
9820 KB |
Output is correct |
28 |
Correct |
37 ms |
9856 KB |
Output is correct |
29 |
Correct |
52 ms |
9968 KB |
Output is correct |
30 |
Correct |
41 ms |
9920 KB |
Output is correct |
31 |
Correct |
35 ms |
9820 KB |
Output is correct |
32 |
Correct |
52 ms |
9968 KB |
Output is correct |
33 |
Correct |
64 ms |
9972 KB |
Output is correct |
34 |
Correct |
38 ms |
9912 KB |
Output is correct |
35 |
Correct |
44 ms |
9972 KB |
Output is correct |
36 |
Correct |
47 ms |
9944 KB |
Output is correct |
37 |
Correct |
44 ms |
9968 KB |
Output is correct |
38 |
Correct |
44 ms |
9972 KB |
Output is correct |
39 |
Correct |
61 ms |
9968 KB |
Output is correct |
40 |
Correct |
47 ms |
10116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 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 |
2392 KB |
Output is correct |
11 |
Correct |
174 ms |
6416 KB |
Output is correct |
12 |
Correct |
224 ms |
5972 KB |
Output is correct |
13 |
Correct |
205 ms |
5292 KB |
Output is correct |
14 |
Correct |
238 ms |
5344 KB |
Output is correct |
15 |
Correct |
195 ms |
6324 KB |
Output is correct |
16 |
Correct |
234 ms |
5456 KB |
Output is correct |
17 |
Correct |
244 ms |
5460 KB |
Output is correct |
18 |
Correct |
150 ms |
7596 KB |
Output is correct |
19 |
Correct |
218 ms |
4480 KB |
Output is correct |
20 |
Correct |
199 ms |
6068 KB |
Output is correct |
21 |
Correct |
195 ms |
6440 KB |
Output is correct |
22 |
Correct |
231 ms |
6484 KB |
Output is correct |
23 |
Correct |
255 ms |
5584 KB |
Output is correct |
24 |
Correct |
301 ms |
5632 KB |
Output is correct |
25 |
Correct |
231 ms |
7552 KB |
Output is correct |
26 |
Correct |
338 ms |
6024 KB |
Output is correct |
27 |
Correct |
282 ms |
5972 KB |
Output is correct |
28 |
Correct |
173 ms |
8456 KB |
Output is correct |
29 |
Correct |
179 ms |
4436 KB |
Output is correct |
30 |
Correct |
204 ms |
6592 KB |
Output is correct |
31 |
Correct |
252 ms |
6492 KB |
Output is correct |
32 |
Correct |
370 ms |
6512 KB |
Output is correct |
33 |
Correct |
231 ms |
5468 KB |
Output is correct |
34 |
Correct |
267 ms |
5464 KB |
Output is correct |
35 |
Correct |
272 ms |
5812 KB |
Output is correct |
36 |
Correct |
157 ms |
4464 KB |
Output is correct |
37 |
Correct |
254 ms |
6488 KB |
Output is correct |
38 |
Correct |
195 ms |
4432 KB |
Output is correct |
39 |
Correct |
234 ms |
5652 KB |
Output is correct |
40 |
Correct |
336 ms |
5424 KB |
Output is correct |
41 |
Correct |
40 ms |
9968 KB |
Output is correct |
42 |
Correct |
39 ms |
9980 KB |
Output is correct |
43 |
Correct |
57 ms |
9844 KB |
Output is correct |
44 |
Correct |
55 ms |
9972 KB |
Output is correct |
45 |
Correct |
44 ms |
10048 KB |
Output is correct |
46 |
Correct |
53 ms |
10020 KB |
Output is correct |
47 |
Correct |
59 ms |
9904 KB |
Output is correct |
48 |
Correct |
36 ms |
9968 KB |
Output is correct |
49 |
Correct |
52 ms |
9736 KB |
Output is correct |
50 |
Correct |
41 ms |
10000 KB |
Output is correct |
51 |
Correct |
54 ms |
10044 KB |
Output is correct |
52 |
Correct |
54 ms |
9976 KB |
Output is correct |
53 |
Correct |
54 ms |
9820 KB |
Output is correct |
54 |
Correct |
67 ms |
9836 KB |
Output is correct |
55 |
Correct |
53 ms |
9808 KB |
Output is correct |
56 |
Correct |
30 ms |
9728 KB |
Output is correct |
57 |
Correct |
38 ms |
9820 KB |
Output is correct |
58 |
Correct |
37 ms |
9856 KB |
Output is correct |
59 |
Correct |
52 ms |
9968 KB |
Output is correct |
60 |
Correct |
41 ms |
9920 KB |
Output is correct |
61 |
Correct |
35 ms |
9820 KB |
Output is correct |
62 |
Correct |
52 ms |
9968 KB |
Output is correct |
63 |
Correct |
64 ms |
9972 KB |
Output is correct |
64 |
Correct |
38 ms |
9912 KB |
Output is correct |
65 |
Correct |
44 ms |
9972 KB |
Output is correct |
66 |
Correct |
47 ms |
9944 KB |
Output is correct |
67 |
Correct |
44 ms |
9968 KB |
Output is correct |
68 |
Correct |
44 ms |
9972 KB |
Output is correct |
69 |
Correct |
61 ms |
9968 KB |
Output is correct |
70 |
Correct |
47 ms |
10116 KB |
Output is correct |
71 |
Correct |
334 ms |
14836 KB |
Output is correct |
72 |
Correct |
316 ms |
14840 KB |
Output is correct |
73 |
Correct |
368 ms |
13688 KB |
Output is correct |
74 |
Correct |
568 ms |
13808 KB |
Output is correct |
75 |
Correct |
341 ms |
15600 KB |
Output is correct |
76 |
Correct |
856 ms |
14112 KB |
Output is correct |
77 |
Correct |
753 ms |
13836 KB |
Output is correct |
78 |
Correct |
305 ms |
17648 KB |
Output is correct |
79 |
Correct |
308 ms |
11592 KB |
Output is correct |
80 |
Correct |
297 ms |
14836 KB |
Output is correct |
81 |
Correct |
446 ms |
14684 KB |
Output is correct |
82 |
Correct |
579 ms |
13716 KB |
Output is correct |
83 |
Correct |
310 ms |
13000 KB |
Output is correct |
84 |
Correct |
462 ms |
13812 KB |
Output is correct |
85 |
Correct |
450 ms |
14088 KB |
Output is correct |
86 |
Correct |
200 ms |
11616 KB |
Output is correct |
87 |
Correct |
284 ms |
14832 KB |
Output is correct |
88 |
Correct |
276 ms |
11576 KB |
Output is correct |
89 |
Correct |
352 ms |
13396 KB |
Output is correct |
90 |
Correct |
394 ms |
13684 KB |
Output is correct |
91 |
Correct |
295 ms |
12972 KB |
Output is correct |
92 |
Correct |
496 ms |
14120 KB |
Output is correct |
93 |
Correct |
468 ms |
14140 KB |
Output is correct |
94 |
Correct |
203 ms |
11804 KB |
Output is correct |
95 |
Correct |
383 ms |
13692 KB |
Output is correct |
96 |
Correct |
445 ms |
13968 KB |
Output is correct |
97 |
Correct |
451 ms |
13752 KB |
Output is correct |
98 |
Correct |
387 ms |
13820 KB |
Output is correct |
99 |
Correct |
396 ms |
13908 KB |
Output is correct |
100 |
Correct |
442 ms |
14296 KB |
Output is correct |