#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, * z, * q;
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;
//vector<int> o;
o = new int[oc];
int 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;
//vector<int> z;
z = new int[zc];
int 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;
q = new int[qc];
int 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 |
4444 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4564 KB |
Output is correct |
8 |
Correct |
3 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4564 KB |
Output is correct |
8 |
Correct |
3 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1330 ms |
50616 KB |
Output is correct |
12 |
Correct |
1333 ms |
50192 KB |
Output is correct |
13 |
Correct |
1372 ms |
49424 KB |
Output is correct |
14 |
Correct |
1400 ms |
50004 KB |
Output is correct |
15 |
Correct |
1461 ms |
50728 KB |
Output is correct |
16 |
Correct |
1409 ms |
49860 KB |
Output is correct |
17 |
Correct |
1401 ms |
49748 KB |
Output is correct |
18 |
Correct |
1271 ms |
51560 KB |
Output is correct |
19 |
Correct |
1372 ms |
48432 KB |
Output is correct |
20 |
Correct |
1391 ms |
50516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4564 KB |
Output is correct |
8 |
Correct |
3 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1330 ms |
50616 KB |
Output is correct |
12 |
Correct |
1333 ms |
50192 KB |
Output is correct |
13 |
Correct |
1372 ms |
49424 KB |
Output is correct |
14 |
Correct |
1400 ms |
50004 KB |
Output is correct |
15 |
Correct |
1461 ms |
50728 KB |
Output is correct |
16 |
Correct |
1409 ms |
49860 KB |
Output is correct |
17 |
Correct |
1401 ms |
49748 KB |
Output is correct |
18 |
Correct |
1271 ms |
51560 KB |
Output is correct |
19 |
Correct |
1372 ms |
48432 KB |
Output is correct |
20 |
Correct |
1391 ms |
50516 KB |
Output is correct |
21 |
Correct |
1394 ms |
53376 KB |
Output is correct |
22 |
Correct |
1380 ms |
53812 KB |
Output is correct |
23 |
Correct |
1495 ms |
52932 KB |
Output is correct |
24 |
Correct |
1464 ms |
52524 KB |
Output is correct |
25 |
Correct |
1408 ms |
54816 KB |
Output is correct |
26 |
Correct |
1500 ms |
53028 KB |
Output is correct |
27 |
Correct |
1455 ms |
52852 KB |
Output is correct |
28 |
Correct |
1281 ms |
55544 KB |
Output is correct |
29 |
Correct |
1402 ms |
51696 KB |
Output is correct |
30 |
Correct |
1405 ms |
53564 KB |
Output is correct |
31 |
Correct |
1420 ms |
53692 KB |
Output is correct |
32 |
Correct |
1472 ms |
53444 KB |
Output is correct |
33 |
Correct |
1407 ms |
52404 KB |
Output is correct |
34 |
Correct |
1450 ms |
52816 KB |
Output is correct |
35 |
Correct |
1472 ms |
52976 KB |
Output is correct |
36 |
Correct |
1304 ms |
51520 KB |
Output is correct |
37 |
Correct |
1326 ms |
53676 KB |
Output is correct |
38 |
Correct |
1398 ms |
51748 KB |
Output is correct |
39 |
Correct |
1457 ms |
52652 KB |
Output is correct |
40 |
Correct |
1449 ms |
52512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4564 KB |
Output is correct |
8 |
Correct |
3 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
97 ms |
16608 KB |
Output is correct |
12 |
Correct |
91 ms |
16464 KB |
Output is correct |
13 |
Correct |
102 ms |
16356 KB |
Output is correct |
14 |
Correct |
120 ms |
16424 KB |
Output is correct |
15 |
Correct |
94 ms |
16548 KB |
Output is correct |
16 |
Correct |
112 ms |
16452 KB |
Output is correct |
17 |
Correct |
125 ms |
16368 KB |
Output is correct |
18 |
Correct |
91 ms |
16764 KB |
Output is correct |
19 |
Correct |
97 ms |
16348 KB |
Output is correct |
20 |
Correct |
96 ms |
16472 KB |
Output is correct |
21 |
Correct |
99 ms |
16604 KB |
Output is correct |
22 |
Correct |
116 ms |
16588 KB |
Output is correct |
23 |
Correct |
98 ms |
16472 KB |
Output is correct |
24 |
Correct |
109 ms |
16348 KB |
Output is correct |
25 |
Correct |
105 ms |
16476 KB |
Output is correct |
26 |
Correct |
87 ms |
16348 KB |
Output is correct |
27 |
Correct |
91 ms |
16588 KB |
Output is correct |
28 |
Correct |
96 ms |
16368 KB |
Output is correct |
29 |
Correct |
102 ms |
16448 KB |
Output is correct |
30 |
Correct |
110 ms |
16348 KB |
Output is correct |
31 |
Correct |
104 ms |
16356 KB |
Output is correct |
32 |
Correct |
112 ms |
16452 KB |
Output is correct |
33 |
Correct |
111 ms |
16448 KB |
Output is correct |
34 |
Correct |
87 ms |
16352 KB |
Output is correct |
35 |
Correct |
103 ms |
16348 KB |
Output is correct |
36 |
Correct |
104 ms |
16352 KB |
Output is correct |
37 |
Correct |
108 ms |
16568 KB |
Output is correct |
38 |
Correct |
105 ms |
16548 KB |
Output is correct |
39 |
Correct |
120 ms |
16444 KB |
Output is correct |
40 |
Correct |
105 ms |
16348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4444 KB |
Output is correct |
2 |
Correct |
4 ms |
4440 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
4 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4440 KB |
Output is correct |
6 |
Correct |
2 ms |
4444 KB |
Output is correct |
7 |
Correct |
2 ms |
4564 KB |
Output is correct |
8 |
Correct |
3 ms |
4572 KB |
Output is correct |
9 |
Correct |
2 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
1330 ms |
50616 KB |
Output is correct |
12 |
Correct |
1333 ms |
50192 KB |
Output is correct |
13 |
Correct |
1372 ms |
49424 KB |
Output is correct |
14 |
Correct |
1400 ms |
50004 KB |
Output is correct |
15 |
Correct |
1461 ms |
50728 KB |
Output is correct |
16 |
Correct |
1409 ms |
49860 KB |
Output is correct |
17 |
Correct |
1401 ms |
49748 KB |
Output is correct |
18 |
Correct |
1271 ms |
51560 KB |
Output is correct |
19 |
Correct |
1372 ms |
48432 KB |
Output is correct |
20 |
Correct |
1391 ms |
50516 KB |
Output is correct |
21 |
Correct |
1394 ms |
53376 KB |
Output is correct |
22 |
Correct |
1380 ms |
53812 KB |
Output is correct |
23 |
Correct |
1495 ms |
52932 KB |
Output is correct |
24 |
Correct |
1464 ms |
52524 KB |
Output is correct |
25 |
Correct |
1408 ms |
54816 KB |
Output is correct |
26 |
Correct |
1500 ms |
53028 KB |
Output is correct |
27 |
Correct |
1455 ms |
52852 KB |
Output is correct |
28 |
Correct |
1281 ms |
55544 KB |
Output is correct |
29 |
Correct |
1402 ms |
51696 KB |
Output is correct |
30 |
Correct |
1405 ms |
53564 KB |
Output is correct |
31 |
Correct |
1420 ms |
53692 KB |
Output is correct |
32 |
Correct |
1472 ms |
53444 KB |
Output is correct |
33 |
Correct |
1407 ms |
52404 KB |
Output is correct |
34 |
Correct |
1450 ms |
52816 KB |
Output is correct |
35 |
Correct |
1472 ms |
52976 KB |
Output is correct |
36 |
Correct |
1304 ms |
51520 KB |
Output is correct |
37 |
Correct |
1326 ms |
53676 KB |
Output is correct |
38 |
Correct |
1398 ms |
51748 KB |
Output is correct |
39 |
Correct |
1457 ms |
52652 KB |
Output is correct |
40 |
Correct |
1449 ms |
52512 KB |
Output is correct |
41 |
Correct |
97 ms |
16608 KB |
Output is correct |
42 |
Correct |
91 ms |
16464 KB |
Output is correct |
43 |
Correct |
102 ms |
16356 KB |
Output is correct |
44 |
Correct |
120 ms |
16424 KB |
Output is correct |
45 |
Correct |
94 ms |
16548 KB |
Output is correct |
46 |
Correct |
112 ms |
16452 KB |
Output is correct |
47 |
Correct |
125 ms |
16368 KB |
Output is correct |
48 |
Correct |
91 ms |
16764 KB |
Output is correct |
49 |
Correct |
97 ms |
16348 KB |
Output is correct |
50 |
Correct |
96 ms |
16472 KB |
Output is correct |
51 |
Correct |
99 ms |
16604 KB |
Output is correct |
52 |
Correct |
116 ms |
16588 KB |
Output is correct |
53 |
Correct |
98 ms |
16472 KB |
Output is correct |
54 |
Correct |
109 ms |
16348 KB |
Output is correct |
55 |
Correct |
105 ms |
16476 KB |
Output is correct |
56 |
Correct |
87 ms |
16348 KB |
Output is correct |
57 |
Correct |
91 ms |
16588 KB |
Output is correct |
58 |
Correct |
96 ms |
16368 KB |
Output is correct |
59 |
Correct |
102 ms |
16448 KB |
Output is correct |
60 |
Correct |
110 ms |
16348 KB |
Output is correct |
61 |
Correct |
104 ms |
16356 KB |
Output is correct |
62 |
Correct |
112 ms |
16452 KB |
Output is correct |
63 |
Correct |
111 ms |
16448 KB |
Output is correct |
64 |
Correct |
87 ms |
16352 KB |
Output is correct |
65 |
Correct |
103 ms |
16348 KB |
Output is correct |
66 |
Correct |
104 ms |
16352 KB |
Output is correct |
67 |
Correct |
108 ms |
16568 KB |
Output is correct |
68 |
Correct |
105 ms |
16548 KB |
Output is correct |
69 |
Correct |
120 ms |
16444 KB |
Output is correct |
70 |
Correct |
105 ms |
16348 KB |
Output is correct |
71 |
Correct |
1619 ms |
65536 KB |
Output is correct |
72 |
Correct |
1544 ms |
65536 KB |
Output is correct |
73 |
Correct |
1662 ms |
65536 KB |
Output is correct |
74 |
Correct |
1789 ms |
65536 KB |
Output is correct |
75 |
Correct |
1573 ms |
65536 KB |
Output is correct |
76 |
Correct |
1817 ms |
65536 KB |
Output is correct |
77 |
Correct |
1797 ms |
65536 KB |
Output is correct |
78 |
Correct |
1374 ms |
65536 KB |
Output is correct |
79 |
Correct |
1573 ms |
65536 KB |
Output is correct |
80 |
Correct |
1577 ms |
65536 KB |
Output is correct |
81 |
Correct |
1692 ms |
65536 KB |
Output is correct |
82 |
Correct |
1856 ms |
65536 KB |
Output is correct |
83 |
Correct |
1574 ms |
65536 KB |
Output is correct |
84 |
Correct |
1884 ms |
65536 KB |
Output is correct |
85 |
Correct |
1887 ms |
65536 KB |
Output is correct |
86 |
Correct |
1371 ms |
65536 KB |
Output is correct |
87 |
Correct |
1480 ms |
65536 KB |
Output is correct |
88 |
Correct |
1551 ms |
65536 KB |
Output is correct |
89 |
Correct |
1699 ms |
65536 KB |
Output is correct |
90 |
Correct |
1804 ms |
65536 KB |
Output is correct |
91 |
Correct |
1537 ms |
65536 KB |
Output is correct |
92 |
Correct |
1912 ms |
65536 KB |
Output is correct |
93 |
Correct |
1898 ms |
65536 KB |
Output is correct |
94 |
Correct |
1362 ms |
65536 KB |
Output is correct |
95 |
Correct |
1810 ms |
65536 KB |
Output is correct |
96 |
Correct |
1738 ms |
65536 KB |
Output is correct |
97 |
Correct |
1769 ms |
65536 KB |
Output is correct |
98 |
Correct |
1794 ms |
65536 KB |
Output is correct |
99 |
Correct |
1777 ms |
65536 KB |
Output is correct |
100 |
Correct |
1819 ms |
65536 KB |
Output is correct |