#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
ll dp[1 << 20], dp2[1 << 20], ans;
string b, s; int l, q;
void recurr1(int i, int num, int tot) {
if(i == l) {
if(tot & 1) ans -= dp[num];
else ans += dp[num];
return;
}
if(s[i] == '0') recurr1(i + 1, num << 1, tot);
else if(s[i] == '?') recurr1(i + 1, num << 1 | 1, tot);
else {
recurr1(i + 1, num << 1 | 1, tot);
recurr1(i + 1, num << 1, tot + 1);
}
}
void recurr0(int i, int num, int tot) {
if(i == l) {
if(tot & 1) ans -= dp2[num];
else ans += dp2[num];
return;
}
if(s[i] == '1') recurr0(i + 1, num << 1 | 1, tot);
else if(s[i] == '?') recurr0(i + 1, num << 1, tot);
else {
recurr0(i + 1, num << 1, tot);
recurr0(i + 1, num << 1 | 1, tot + 1);
}
}
void recurrw0t(int i, int num) {
if(i == l) {
ans += b[num] - '0';
return;
}
if(s[i] == '?') {
recurrw0t(i + 1, num << 1 | 1);
recurrw0t(i + 1, num << 1);
} else recurrw0t(i + 1, (num << 1) + (s[i] == '1'));
}
int main(int argc, char const *argv[]) {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> l >> q >> b;
for(int i = 0; i < (1 << l); i++) {
dp[i] = dp2[i] = b[i] - '0';
}
for(int i = 0; i < l; i++) {
for(int j = 0; j < (1 << l); j++) {
if(j >> i & 1)
dp[j] += dp[j ^ (1 << i)];
}
}
for(int i = 0; i < l; i++) {
for(int j = 0; j < (1 << l); j++) {
if(~j >> i & 1)
dp2[j] += dp2[j | (1 << i)];
}
}
while(q--) {
cin >> s;
int n0 = 0, n1 = 0, nw0t = 0;
for(char c : s) {
n0 += c == '0';
n1 += c == '1';
nw0t += c == '?';
}
if(n1 == 0) {
int num = 0;
for(char c : s) num = (num << 1) + (c == '?');
cout << dp[num] << endl;
} else if(nw0t == 0) {
int num = 0;
for(char c : s) num = (num << 1) + (c == '1');
cout << b[num] << endl;
} else {
ans = 0;
if(nw0t <= n1 && nw0t <= n0) recurrw0t(0, 0);
else if(n1 <= nw0t && n1 <= n0) recurr1(0, 0, 0);
else recurr0(0, 0, 0);
cout << ans << endl;
}
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
3 ms |
492 KB |
Output is correct |
5 |
Correct |
3 ms |
492 KB |
Output is correct |
6 |
Correct |
4 ms |
492 KB |
Output is correct |
7 |
Correct |
3 ms |
492 KB |
Output is correct |
8 |
Correct |
3 ms |
492 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
4 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
3 ms |
492 KB |
Output is correct |
5 |
Correct |
3 ms |
492 KB |
Output is correct |
6 |
Correct |
4 ms |
492 KB |
Output is correct |
7 |
Correct |
3 ms |
492 KB |
Output is correct |
8 |
Correct |
3 ms |
492 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
4 ms |
492 KB |
Output is correct |
11 |
Correct |
1583 ms |
5272 KB |
Output is correct |
12 |
Correct |
1488 ms |
15496 KB |
Output is correct |
13 |
Correct |
1628 ms |
15496 KB |
Output is correct |
14 |
Correct |
1614 ms |
15496 KB |
Output is correct |
15 |
Correct |
1598 ms |
16204 KB |
Output is correct |
16 |
Correct |
1693 ms |
16204 KB |
Output is correct |
17 |
Correct |
1625 ms |
16204 KB |
Output is correct |
18 |
Correct |
1468 ms |
17360 KB |
Output is correct |
19 |
Correct |
1437 ms |
17360 KB |
Output is correct |
20 |
Correct |
1567 ms |
17360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
3 ms |
492 KB |
Output is correct |
5 |
Correct |
3 ms |
492 KB |
Output is correct |
6 |
Correct |
4 ms |
492 KB |
Output is correct |
7 |
Correct |
3 ms |
492 KB |
Output is correct |
8 |
Correct |
3 ms |
492 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
4 ms |
492 KB |
Output is correct |
11 |
Correct |
1583 ms |
5272 KB |
Output is correct |
12 |
Correct |
1488 ms |
15496 KB |
Output is correct |
13 |
Correct |
1628 ms |
15496 KB |
Output is correct |
14 |
Correct |
1614 ms |
15496 KB |
Output is correct |
15 |
Correct |
1598 ms |
16204 KB |
Output is correct |
16 |
Correct |
1693 ms |
16204 KB |
Output is correct |
17 |
Correct |
1625 ms |
16204 KB |
Output is correct |
18 |
Correct |
1468 ms |
17360 KB |
Output is correct |
19 |
Correct |
1437 ms |
17360 KB |
Output is correct |
20 |
Correct |
1567 ms |
17360 KB |
Output is correct |
21 |
Correct |
1581 ms |
17360 KB |
Output is correct |
22 |
Correct |
1549 ms |
30944 KB |
Output is correct |
23 |
Correct |
1875 ms |
43668 KB |
Output is correct |
24 |
Correct |
1882 ms |
57224 KB |
Output is correct |
25 |
Correct |
1698 ms |
65536 KB |
Output is correct |
26 |
Correct |
1929 ms |
65536 KB |
Output is correct |
27 |
Correct |
1850 ms |
65536 KB |
Output is correct |
28 |
Correct |
1491 ms |
65536 KB |
Output is correct |
29 |
Correct |
1510 ms |
65536 KB |
Output is correct |
30 |
Correct |
1611 ms |
65536 KB |
Output is correct |
31 |
Correct |
1846 ms |
65536 KB |
Output is correct |
32 |
Execution timed out |
2040 ms |
65536 KB |
Time limit exceeded |
33 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
3 ms |
492 KB |
Output is correct |
5 |
Correct |
3 ms |
492 KB |
Output is correct |
6 |
Correct |
4 ms |
492 KB |
Output is correct |
7 |
Correct |
3 ms |
492 KB |
Output is correct |
8 |
Correct |
3 ms |
492 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
4 ms |
492 KB |
Output is correct |
11 |
Correct |
176 ms |
65536 KB |
Output is correct |
12 |
Correct |
150 ms |
65536 KB |
Output is correct |
13 |
Correct |
188 ms |
65536 KB |
Output is correct |
14 |
Correct |
277 ms |
65536 KB |
Output is correct |
15 |
Correct |
168 ms |
65536 KB |
Output is correct |
16 |
Correct |
251 ms |
65536 KB |
Output is correct |
17 |
Correct |
224 ms |
65536 KB |
Output is correct |
18 |
Correct |
140 ms |
65536 KB |
Output is correct |
19 |
Correct |
151 ms |
65536 KB |
Output is correct |
20 |
Correct |
171 ms |
65536 KB |
Output is correct |
21 |
Correct |
214 ms |
65536 KB |
Output is correct |
22 |
Correct |
283 ms |
65536 KB |
Output is correct |
23 |
Correct |
182 ms |
65536 KB |
Output is correct |
24 |
Correct |
210 ms |
65536 KB |
Output is correct |
25 |
Correct |
235 ms |
65536 KB |
Output is correct |
26 |
Correct |
149 ms |
65536 KB |
Output is correct |
27 |
Correct |
145 ms |
65536 KB |
Output is correct |
28 |
Correct |
142 ms |
65536 KB |
Output is correct |
29 |
Correct |
174 ms |
65536 KB |
Output is correct |
30 |
Correct |
205 ms |
65536 KB |
Output is correct |
31 |
Correct |
160 ms |
65536 KB |
Output is correct |
32 |
Correct |
275 ms |
65536 KB |
Output is correct |
33 |
Correct |
222 ms |
65536 KB |
Output is correct |
34 |
Correct |
137 ms |
65536 KB |
Output is correct |
35 |
Correct |
200 ms |
65536 KB |
Output is correct |
36 |
Correct |
196 ms |
65536 KB |
Output is correct |
37 |
Correct |
199 ms |
65536 KB |
Output is correct |
38 |
Correct |
218 ms |
65536 KB |
Output is correct |
39 |
Correct |
210 ms |
65536 KB |
Output is correct |
40 |
Correct |
198 ms |
65536 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
376 KB |
Output is correct |
2 |
Correct |
3 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
404 KB |
Output is correct |
4 |
Correct |
3 ms |
492 KB |
Output is correct |
5 |
Correct |
3 ms |
492 KB |
Output is correct |
6 |
Correct |
4 ms |
492 KB |
Output is correct |
7 |
Correct |
3 ms |
492 KB |
Output is correct |
8 |
Correct |
3 ms |
492 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
4 ms |
492 KB |
Output is correct |
11 |
Correct |
1583 ms |
5272 KB |
Output is correct |
12 |
Correct |
1488 ms |
15496 KB |
Output is correct |
13 |
Correct |
1628 ms |
15496 KB |
Output is correct |
14 |
Correct |
1614 ms |
15496 KB |
Output is correct |
15 |
Correct |
1598 ms |
16204 KB |
Output is correct |
16 |
Correct |
1693 ms |
16204 KB |
Output is correct |
17 |
Correct |
1625 ms |
16204 KB |
Output is correct |
18 |
Correct |
1468 ms |
17360 KB |
Output is correct |
19 |
Correct |
1437 ms |
17360 KB |
Output is correct |
20 |
Correct |
1567 ms |
17360 KB |
Output is correct |
21 |
Correct |
1581 ms |
17360 KB |
Output is correct |
22 |
Correct |
1549 ms |
30944 KB |
Output is correct |
23 |
Correct |
1875 ms |
43668 KB |
Output is correct |
24 |
Correct |
1882 ms |
57224 KB |
Output is correct |
25 |
Correct |
1698 ms |
65536 KB |
Output is correct |
26 |
Correct |
1929 ms |
65536 KB |
Output is correct |
27 |
Correct |
1850 ms |
65536 KB |
Output is correct |
28 |
Correct |
1491 ms |
65536 KB |
Output is correct |
29 |
Correct |
1510 ms |
65536 KB |
Output is correct |
30 |
Correct |
1611 ms |
65536 KB |
Output is correct |
31 |
Correct |
1846 ms |
65536 KB |
Output is correct |
32 |
Execution timed out |
2040 ms |
65536 KB |
Time limit exceeded |
33 |
Halted |
0 ms |
0 KB |
- |