#include<iostream>
#include<string>
using namespace std;
#include<string>
#include<vector>
#define maxp 1048580
using namespace std;
int st[maxp],n,p,res,zer[maxp], on[maxp];
int ab(int x) { return x > 0 ? x : -x; }
void init(int N, int Q, string S) {
n = N; p = 1 << n;
for (int i = 0; i < p; i++) zer[i] = on[i] = st[i] = S[i] - '0';
for (int i = 1; i < p; i<<=1) {
for (int j = 0; j < p; j++) {
if (j & i) zer[j] += zer[j ^ i];
else on[j] += on[j ^ i];
}
}
}
int o[20], z[20], q[20];
int oc, zc, qc;
void rec1(int i, int c, int a) {
if (i == oc) {res += (a^zer[c]) + (a & 1); return;}
rec1(i + 1, c, a);
rec1(i + 1, c ^ o[i], ~a);
}
void rec0(int i, int c, int a) {
if (i == zc) {res += (a^on[c]) + (a & 1); return; }
rec0(i + 1, c, a);
rec0(i + 1, c ^ z[i], ~a);
}
void recq(int i, int c) {
if (i == qc) { res += st[c]; return; }
recq(i + 1, c);
recq(i + 1, c ^ q[i]);
}
int query(string A) {
oc = zc = qc = 0;
for (int i = 0; i < n; i++) {
if (A[i] == '0') zc++;
else if (A[i] == '1') oc++;
else qc++;
}
if (oc < zc && oc < qc) {
int c = 0,po = 0;
for (int i = 0; i < n; i++) {
if (A[i] == '1') o[po++] = (1 << (n - 1 - i));
else if(A[i]=='?') c += (1 << (n - 1 - i));
}
res = 0;
rec1(0, c, 0);
return ab(res);
}
else if (qc > zc) {
int c = 0,pz = 0;
for (int i = 0; i < n; i++) {
if (A[i] == '1') c += (1 << (n - 1 - i));
else if (A[i] == '0') z[pz++]=(1 << (n - 1 - i));
}
res = 0;
rec0(0, c, 0);
return ab(res);
}
else {
res = 0;
int c = 0,pq = 0;
for (int i = 0; i < n; i++) {
if (A[i] == '1') c += (1 << (n - 1 - i));
else if (A[i] == '?') q[pq++]=(1 << (n - 1 - i));
}
recq(0, c);
return res;
}
return 0;
}
/*
4 8
3141592653589793
0101
?01?
??1?
?0??
1?00
01?1
??10
????
3 5
12345678
000
0??
1?0
?11
???
*/
int main() {
ios::sync_with_stdio(0); cin.tie(0);
int N, Q; cin >> N >> Q;
string S; cin >> S;
init(N, Q, move(S));
for (int i = 0; i < Q; i++) {
string A;
cin >> A;
cout << query(move(A)) << endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4576 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4696 KB |
Output is correct |
10 |
Correct |
3 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4576 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4696 KB |
Output is correct |
10 |
Correct |
3 ms |
4444 KB |
Output is correct |
11 |
Correct |
1261 ms |
19456 KB |
Output is correct |
12 |
Correct |
1306 ms |
18780 KB |
Output is correct |
13 |
Correct |
1301 ms |
18224 KB |
Output is correct |
14 |
Correct |
1322 ms |
18284 KB |
Output is correct |
15 |
Correct |
1300 ms |
19056 KB |
Output is correct |
16 |
Correct |
1367 ms |
18360 KB |
Output is correct |
17 |
Correct |
1378 ms |
18404 KB |
Output is correct |
18 |
Correct |
1317 ms |
20440 KB |
Output is correct |
19 |
Correct |
1292 ms |
15468 KB |
Output is correct |
20 |
Correct |
1299 ms |
18868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4576 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4696 KB |
Output is correct |
10 |
Correct |
3 ms |
4444 KB |
Output is correct |
11 |
Correct |
1261 ms |
19456 KB |
Output is correct |
12 |
Correct |
1306 ms |
18780 KB |
Output is correct |
13 |
Correct |
1301 ms |
18224 KB |
Output is correct |
14 |
Correct |
1322 ms |
18284 KB |
Output is correct |
15 |
Correct |
1300 ms |
19056 KB |
Output is correct |
16 |
Correct |
1367 ms |
18360 KB |
Output is correct |
17 |
Correct |
1378 ms |
18404 KB |
Output is correct |
18 |
Correct |
1317 ms |
20440 KB |
Output is correct |
19 |
Correct |
1292 ms |
15468 KB |
Output is correct |
20 |
Correct |
1299 ms |
18868 KB |
Output is correct |
21 |
Correct |
1376 ms |
22288 KB |
Output is correct |
22 |
Correct |
1335 ms |
22620 KB |
Output is correct |
23 |
Correct |
1344 ms |
21600 KB |
Output is correct |
24 |
Correct |
1390 ms |
21240 KB |
Output is correct |
25 |
Correct |
1339 ms |
23284 KB |
Output is correct |
26 |
Correct |
1377 ms |
21680 KB |
Output is correct |
27 |
Correct |
1426 ms |
21900 KB |
Output is correct |
28 |
Correct |
1233 ms |
24284 KB |
Output is correct |
29 |
Correct |
1330 ms |
20052 KB |
Output is correct |
30 |
Correct |
1341 ms |
22324 KB |
Output is correct |
31 |
Correct |
1381 ms |
22184 KB |
Output is correct |
32 |
Correct |
1393 ms |
22436 KB |
Output is correct |
33 |
Correct |
1357 ms |
21048 KB |
Output is correct |
34 |
Correct |
1436 ms |
21408 KB |
Output is correct |
35 |
Correct |
1381 ms |
21700 KB |
Output is correct |
36 |
Correct |
1241 ms |
20300 KB |
Output is correct |
37 |
Correct |
1273 ms |
22460 KB |
Output is correct |
38 |
Correct |
1364 ms |
20280 KB |
Output is correct |
39 |
Correct |
1423 ms |
21576 KB |
Output is correct |
40 |
Correct |
1388 ms |
21200 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4576 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4696 KB |
Output is correct |
10 |
Correct |
3 ms |
4444 KB |
Output is correct |
11 |
Correct |
95 ms |
15356 KB |
Output is correct |
12 |
Correct |
91 ms |
15100 KB |
Output is correct |
13 |
Correct |
98 ms |
15104 KB |
Output is correct |
14 |
Correct |
110 ms |
15104 KB |
Output is correct |
15 |
Correct |
93 ms |
15104 KB |
Output is correct |
16 |
Correct |
109 ms |
15180 KB |
Output is correct |
17 |
Correct |
118 ms |
15128 KB |
Output is correct |
18 |
Correct |
86 ms |
15132 KB |
Output is correct |
19 |
Correct |
95 ms |
15104 KB |
Output is correct |
20 |
Correct |
95 ms |
15096 KB |
Output is correct |
21 |
Correct |
98 ms |
15104 KB |
Output is correct |
22 |
Correct |
108 ms |
15104 KB |
Output is correct |
23 |
Correct |
95 ms |
15104 KB |
Output is correct |
24 |
Correct |
114 ms |
15060 KB |
Output is correct |
25 |
Correct |
109 ms |
15116 KB |
Output is correct |
26 |
Correct |
88 ms |
15016 KB |
Output is correct |
27 |
Correct |
93 ms |
15164 KB |
Output is correct |
28 |
Correct |
97 ms |
15104 KB |
Output is correct |
29 |
Correct |
101 ms |
15104 KB |
Output is correct |
30 |
Correct |
103 ms |
15104 KB |
Output is correct |
31 |
Correct |
100 ms |
15104 KB |
Output is correct |
32 |
Correct |
106 ms |
15168 KB |
Output is correct |
33 |
Correct |
109 ms |
15104 KB |
Output is correct |
34 |
Correct |
87 ms |
15124 KB |
Output is correct |
35 |
Correct |
107 ms |
15328 KB |
Output is correct |
36 |
Correct |
103 ms |
15100 KB |
Output is correct |
37 |
Correct |
101 ms |
15100 KB |
Output is correct |
38 |
Correct |
100 ms |
15100 KB |
Output is correct |
39 |
Correct |
117 ms |
15328 KB |
Output is correct |
40 |
Correct |
106 ms |
15172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
3 ms |
4444 KB |
Output is correct |
3 |
Correct |
3 ms |
4576 KB |
Output is correct |
4 |
Correct |
3 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4696 KB |
Output is correct |
10 |
Correct |
3 ms |
4444 KB |
Output is correct |
11 |
Correct |
1261 ms |
19456 KB |
Output is correct |
12 |
Correct |
1306 ms |
18780 KB |
Output is correct |
13 |
Correct |
1301 ms |
18224 KB |
Output is correct |
14 |
Correct |
1322 ms |
18284 KB |
Output is correct |
15 |
Correct |
1300 ms |
19056 KB |
Output is correct |
16 |
Correct |
1367 ms |
18360 KB |
Output is correct |
17 |
Correct |
1378 ms |
18404 KB |
Output is correct |
18 |
Correct |
1317 ms |
20440 KB |
Output is correct |
19 |
Correct |
1292 ms |
15468 KB |
Output is correct |
20 |
Correct |
1299 ms |
18868 KB |
Output is correct |
21 |
Correct |
1376 ms |
22288 KB |
Output is correct |
22 |
Correct |
1335 ms |
22620 KB |
Output is correct |
23 |
Correct |
1344 ms |
21600 KB |
Output is correct |
24 |
Correct |
1390 ms |
21240 KB |
Output is correct |
25 |
Correct |
1339 ms |
23284 KB |
Output is correct |
26 |
Correct |
1377 ms |
21680 KB |
Output is correct |
27 |
Correct |
1426 ms |
21900 KB |
Output is correct |
28 |
Correct |
1233 ms |
24284 KB |
Output is correct |
29 |
Correct |
1330 ms |
20052 KB |
Output is correct |
30 |
Correct |
1341 ms |
22324 KB |
Output is correct |
31 |
Correct |
1381 ms |
22184 KB |
Output is correct |
32 |
Correct |
1393 ms |
22436 KB |
Output is correct |
33 |
Correct |
1357 ms |
21048 KB |
Output is correct |
34 |
Correct |
1436 ms |
21408 KB |
Output is correct |
35 |
Correct |
1381 ms |
21700 KB |
Output is correct |
36 |
Correct |
1241 ms |
20300 KB |
Output is correct |
37 |
Correct |
1273 ms |
22460 KB |
Output is correct |
38 |
Correct |
1364 ms |
20280 KB |
Output is correct |
39 |
Correct |
1423 ms |
21576 KB |
Output is correct |
40 |
Correct |
1388 ms |
21200 KB |
Output is correct |
41 |
Correct |
95 ms |
15356 KB |
Output is correct |
42 |
Correct |
91 ms |
15100 KB |
Output is correct |
43 |
Correct |
98 ms |
15104 KB |
Output is correct |
44 |
Correct |
110 ms |
15104 KB |
Output is correct |
45 |
Correct |
93 ms |
15104 KB |
Output is correct |
46 |
Correct |
109 ms |
15180 KB |
Output is correct |
47 |
Correct |
118 ms |
15128 KB |
Output is correct |
48 |
Correct |
86 ms |
15132 KB |
Output is correct |
49 |
Correct |
95 ms |
15104 KB |
Output is correct |
50 |
Correct |
95 ms |
15096 KB |
Output is correct |
51 |
Correct |
98 ms |
15104 KB |
Output is correct |
52 |
Correct |
108 ms |
15104 KB |
Output is correct |
53 |
Correct |
95 ms |
15104 KB |
Output is correct |
54 |
Correct |
114 ms |
15060 KB |
Output is correct |
55 |
Correct |
109 ms |
15116 KB |
Output is correct |
56 |
Correct |
88 ms |
15016 KB |
Output is correct |
57 |
Correct |
93 ms |
15164 KB |
Output is correct |
58 |
Correct |
97 ms |
15104 KB |
Output is correct |
59 |
Correct |
101 ms |
15104 KB |
Output is correct |
60 |
Correct |
103 ms |
15104 KB |
Output is correct |
61 |
Correct |
100 ms |
15104 KB |
Output is correct |
62 |
Correct |
106 ms |
15168 KB |
Output is correct |
63 |
Correct |
109 ms |
15104 KB |
Output is correct |
64 |
Correct |
87 ms |
15124 KB |
Output is correct |
65 |
Correct |
107 ms |
15328 KB |
Output is correct |
66 |
Correct |
103 ms |
15100 KB |
Output is correct |
67 |
Correct |
101 ms |
15100 KB |
Output is correct |
68 |
Correct |
100 ms |
15100 KB |
Output is correct |
69 |
Correct |
117 ms |
15328 KB |
Output is correct |
70 |
Correct |
106 ms |
15172 KB |
Output is correct |
71 |
Correct |
1526 ms |
39352 KB |
Output is correct |
72 |
Correct |
1432 ms |
39368 KB |
Output is correct |
73 |
Correct |
1662 ms |
37992 KB |
Output is correct |
74 |
Correct |
1725 ms |
38352 KB |
Output is correct |
75 |
Correct |
1491 ms |
40388 KB |
Output is correct |
76 |
Execution timed out |
2003 ms |
38684 KB |
Time limit exceeded |
77 |
Halted |
0 ms |
0 KB |
- |