//#pragma optimize("Ofast")
//#pragma optimize("unroll-loops")
//#pragma target("avx,avx2")
#include <iostream>
#include <cmath>
#include <algorithm>
#include <stdio.h>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>
typedef long long ll;
typedef long double ld;
using namespace std;
#define el '\n'
#define ff first
#define ss second
#define pb push_back
#define popb pop_back
#define point pair <ll, ll>
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
const ll N = 1e3 + 10;
const ll INF = 2e18 + 10;
const ll inf = 2e9 + 10;
void solve() {
ll l, q;
cin >> l >> q;
string s;
cin >> s;
vector <ll> dpL(1 << l), dpR(1 << l), bits(1 << l);
for (ll i = 0; i < (1 << l); i++)
for (ll j = 0; j < l; j++)
bits[i] += i >> j & 1;
for (ll i = 0; i < (1 << l); i++)
dpL[i] = s[i] - '0', dpR[i] = s[i] - '0';
for (ll i = 0; i < l; i++)
for (ll j = 0; j < (1 << l); j++)
if (j >> i & 1)
dpL[j] += dpL[j ^ (1 << i)];
for (ll i = 0; i < l; i++)
for (ll j = (1 << l) - 1; j >= 0; j--)
if (j >> i & 1)
dpR[j ^ (1 << i)] += dpR[j];
while (q--) {
string t;
cin >> t;
reverse(all(t));
ll cnt1 = 0, cnt0 = 0, cnt = 0, res = 0;
for (ll i = 0; i < l; i++) {
if (t[i] == '1') cnt1++;
else if (t[i] == '?') cnt++;
else cnt0++;
}
ll mn = min({cnt1, cnt0, cnt});
if (mn == cnt1) {
ll mask = 0, c = 0;
for (ll i = 0; i < l; i++) {
if (t[i] == '?') c += 1 << i;
else if (t[i] == '1') mask += 1 << i;
}
ll v = mask;
if (bits[v | c] % 2 == 0) res += dpL[v | c];
else res -= dpL[v | c];
while (v > 0) {
v = (v - 1) & mask;
if (bits[v | c] % 2 == 0) res += dpL[v | c];
else res -= dpL[v | c];
}
res = abs(res);
} else if (mn == cnt) {
ll mask = 0, c = 0;
for (ll i = 0; i < l; i++) {
if (t[i] == '?') mask += 1 << i;
else if (t[i] == '1') c += 1 << i;
}
ll v = mask;
res += s[v | c] - '0';
while (v > 0) {
v = (v - 1) & mask;
res += s[v | c] - '0';
}
} else {
ll mask = 0, c = 0;
for (ll i = 0; i < l; i++) {
if (t[i] == '1') c += 1 << i;
else if (t[i] == '0') mask += 1 << i;
}
ll v = mask;
if (bits[v | c] % 2 == 0) res += dpR[v | c];
else res -= dpR[v | c];
while (v > 0) {
v = (v - 1) & mask;
if (bits[v | c] % 2 == 0) res += dpR[v | c];
else res -= dpR[v | c];
}
res = abs(res);
}
cout << res << el;
}
return;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tests = 1;
//cin >> tests;
while (tests--)
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
183 ms |
15128 KB |
Output is correct |
12 |
Correct |
230 ms |
14928 KB |
Output is correct |
13 |
Correct |
235 ms |
14000 KB |
Output is correct |
14 |
Correct |
250 ms |
14016 KB |
Output is correct |
15 |
Correct |
227 ms |
15188 KB |
Output is correct |
16 |
Correct |
254 ms |
14304 KB |
Output is correct |
17 |
Correct |
265 ms |
14164 KB |
Output is correct |
18 |
Correct |
151 ms |
16132 KB |
Output is correct |
19 |
Correct |
180 ms |
12968 KB |
Output is correct |
20 |
Correct |
221 ms |
14660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
183 ms |
15128 KB |
Output is correct |
12 |
Correct |
230 ms |
14928 KB |
Output is correct |
13 |
Correct |
235 ms |
14000 KB |
Output is correct |
14 |
Correct |
250 ms |
14016 KB |
Output is correct |
15 |
Correct |
227 ms |
15188 KB |
Output is correct |
16 |
Correct |
254 ms |
14304 KB |
Output is correct |
17 |
Correct |
265 ms |
14164 KB |
Output is correct |
18 |
Correct |
151 ms |
16132 KB |
Output is correct |
19 |
Correct |
180 ms |
12968 KB |
Output is correct |
20 |
Correct |
221 ms |
14660 KB |
Output is correct |
21 |
Correct |
250 ms |
18244 KB |
Output is correct |
22 |
Correct |
281 ms |
18388 KB |
Output is correct |
23 |
Correct |
287 ms |
17392 KB |
Output is correct |
24 |
Correct |
325 ms |
17236 KB |
Output is correct |
25 |
Correct |
268 ms |
19524 KB |
Output is correct |
26 |
Correct |
314 ms |
17844 KB |
Output is correct |
27 |
Correct |
323 ms |
17628 KB |
Output is correct |
28 |
Correct |
182 ms |
20200 KB |
Output is correct |
29 |
Correct |
232 ms |
16208 KB |
Output is correct |
30 |
Correct |
270 ms |
18384 KB |
Output is correct |
31 |
Correct |
298 ms |
18308 KB |
Output is correct |
32 |
Correct |
335 ms |
18328 KB |
Output is correct |
33 |
Correct |
290 ms |
17148 KB |
Output is correct |
34 |
Correct |
331 ms |
17156 KB |
Output is correct |
35 |
Correct |
319 ms |
17752 KB |
Output is correct |
36 |
Correct |
149 ms |
16208 KB |
Output is correct |
37 |
Correct |
244 ms |
18256 KB |
Output is correct |
38 |
Correct |
253 ms |
16468 KB |
Output is correct |
39 |
Correct |
304 ms |
17420 KB |
Output is correct |
40 |
Correct |
300 ms |
17232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
85 ms |
28516 KB |
Output is correct |
12 |
Correct |
88 ms |
28516 KB |
Output is correct |
13 |
Correct |
86 ms |
28264 KB |
Output is correct |
14 |
Correct |
113 ms |
28660 KB |
Output is correct |
15 |
Correct |
91 ms |
28424 KB |
Output is correct |
16 |
Correct |
106 ms |
28444 KB |
Output is correct |
17 |
Correct |
94 ms |
28400 KB |
Output is correct |
18 |
Correct |
73 ms |
28520 KB |
Output is correct |
19 |
Correct |
78 ms |
28152 KB |
Output is correct |
20 |
Correct |
81 ms |
28400 KB |
Output is correct |
21 |
Correct |
90 ms |
28400 KB |
Output is correct |
22 |
Correct |
128 ms |
28664 KB |
Output is correct |
23 |
Correct |
85 ms |
28416 KB |
Output is correct |
24 |
Correct |
95 ms |
28272 KB |
Output is correct |
25 |
Correct |
95 ms |
28440 KB |
Output is correct |
26 |
Correct |
76 ms |
28200 KB |
Output is correct |
27 |
Correct |
81 ms |
28404 KB |
Output is correct |
28 |
Correct |
77 ms |
28152 KB |
Output is correct |
29 |
Correct |
85 ms |
28400 KB |
Output is correct |
30 |
Correct |
91 ms |
28404 KB |
Output is correct |
31 |
Correct |
87 ms |
28392 KB |
Output is correct |
32 |
Correct |
102 ms |
28408 KB |
Output is correct |
33 |
Correct |
95 ms |
28324 KB |
Output is correct |
34 |
Correct |
69 ms |
28276 KB |
Output is correct |
35 |
Correct |
94 ms |
28276 KB |
Output is correct |
36 |
Correct |
96 ms |
28284 KB |
Output is correct |
37 |
Correct |
92 ms |
28260 KB |
Output is correct |
38 |
Correct |
92 ms |
28404 KB |
Output is correct |
39 |
Correct |
91 ms |
28284 KB |
Output is correct |
40 |
Correct |
87 ms |
28400 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
183 ms |
15128 KB |
Output is correct |
12 |
Correct |
230 ms |
14928 KB |
Output is correct |
13 |
Correct |
235 ms |
14000 KB |
Output is correct |
14 |
Correct |
250 ms |
14016 KB |
Output is correct |
15 |
Correct |
227 ms |
15188 KB |
Output is correct |
16 |
Correct |
254 ms |
14304 KB |
Output is correct |
17 |
Correct |
265 ms |
14164 KB |
Output is correct |
18 |
Correct |
151 ms |
16132 KB |
Output is correct |
19 |
Correct |
180 ms |
12968 KB |
Output is correct |
20 |
Correct |
221 ms |
14660 KB |
Output is correct |
21 |
Correct |
250 ms |
18244 KB |
Output is correct |
22 |
Correct |
281 ms |
18388 KB |
Output is correct |
23 |
Correct |
287 ms |
17392 KB |
Output is correct |
24 |
Correct |
325 ms |
17236 KB |
Output is correct |
25 |
Correct |
268 ms |
19524 KB |
Output is correct |
26 |
Correct |
314 ms |
17844 KB |
Output is correct |
27 |
Correct |
323 ms |
17628 KB |
Output is correct |
28 |
Correct |
182 ms |
20200 KB |
Output is correct |
29 |
Correct |
232 ms |
16208 KB |
Output is correct |
30 |
Correct |
270 ms |
18384 KB |
Output is correct |
31 |
Correct |
298 ms |
18308 KB |
Output is correct |
32 |
Correct |
335 ms |
18328 KB |
Output is correct |
33 |
Correct |
290 ms |
17148 KB |
Output is correct |
34 |
Correct |
331 ms |
17156 KB |
Output is correct |
35 |
Correct |
319 ms |
17752 KB |
Output is correct |
36 |
Correct |
149 ms |
16208 KB |
Output is correct |
37 |
Correct |
244 ms |
18256 KB |
Output is correct |
38 |
Correct |
253 ms |
16468 KB |
Output is correct |
39 |
Correct |
304 ms |
17420 KB |
Output is correct |
40 |
Correct |
300 ms |
17232 KB |
Output is correct |
41 |
Correct |
85 ms |
28516 KB |
Output is correct |
42 |
Correct |
88 ms |
28516 KB |
Output is correct |
43 |
Correct |
86 ms |
28264 KB |
Output is correct |
44 |
Correct |
113 ms |
28660 KB |
Output is correct |
45 |
Correct |
91 ms |
28424 KB |
Output is correct |
46 |
Correct |
106 ms |
28444 KB |
Output is correct |
47 |
Correct |
94 ms |
28400 KB |
Output is correct |
48 |
Correct |
73 ms |
28520 KB |
Output is correct |
49 |
Correct |
78 ms |
28152 KB |
Output is correct |
50 |
Correct |
81 ms |
28400 KB |
Output is correct |
51 |
Correct |
90 ms |
28400 KB |
Output is correct |
52 |
Correct |
128 ms |
28664 KB |
Output is correct |
53 |
Correct |
85 ms |
28416 KB |
Output is correct |
54 |
Correct |
95 ms |
28272 KB |
Output is correct |
55 |
Correct |
95 ms |
28440 KB |
Output is correct |
56 |
Correct |
76 ms |
28200 KB |
Output is correct |
57 |
Correct |
81 ms |
28404 KB |
Output is correct |
58 |
Correct |
77 ms |
28152 KB |
Output is correct |
59 |
Correct |
85 ms |
28400 KB |
Output is correct |
60 |
Correct |
91 ms |
28404 KB |
Output is correct |
61 |
Correct |
87 ms |
28392 KB |
Output is correct |
62 |
Correct |
102 ms |
28408 KB |
Output is correct |
63 |
Correct |
95 ms |
28324 KB |
Output is correct |
64 |
Correct |
69 ms |
28276 KB |
Output is correct |
65 |
Correct |
94 ms |
28276 KB |
Output is correct |
66 |
Correct |
96 ms |
28284 KB |
Output is correct |
67 |
Correct |
92 ms |
28260 KB |
Output is correct |
68 |
Correct |
92 ms |
28404 KB |
Output is correct |
69 |
Correct |
91 ms |
28284 KB |
Output is correct |
70 |
Correct |
87 ms |
28400 KB |
Output is correct |
71 |
Correct |
491 ms |
52600 KB |
Output is correct |
72 |
Correct |
554 ms |
52780 KB |
Output is correct |
73 |
Correct |
558 ms |
51532 KB |
Output is correct |
74 |
Correct |
999 ms |
51664 KB |
Output is correct |
75 |
Correct |
461 ms |
53548 KB |
Output is correct |
76 |
Correct |
881 ms |
51952 KB |
Output is correct |
77 |
Correct |
807 ms |
52120 KB |
Output is correct |
78 |
Correct |
279 ms |
55756 KB |
Output is correct |
79 |
Correct |
400 ms |
49644 KB |
Output is correct |
80 |
Correct |
506 ms |
52948 KB |
Output is correct |
81 |
Correct |
690 ms |
52724 KB |
Output is correct |
82 |
Correct |
1036 ms |
51960 KB |
Output is correct |
83 |
Correct |
446 ms |
50792 KB |
Output is correct |
84 |
Correct |
787 ms |
51608 KB |
Output is correct |
85 |
Correct |
801 ms |
51852 KB |
Output is correct |
86 |
Correct |
246 ms |
49648 KB |
Output is correct |
87 |
Correct |
457 ms |
52840 KB |
Output is correct |
88 |
Correct |
438 ms |
49740 KB |
Output is correct |
89 |
Correct |
550 ms |
51424 KB |
Output is correct |
90 |
Correct |
568 ms |
51892 KB |
Output is correct |
91 |
Correct |
427 ms |
50960 KB |
Output is correct |
92 |
Correct |
928 ms |
52004 KB |
Output is correct |
93 |
Correct |
770 ms |
51968 KB |
Output is correct |
94 |
Correct |
257 ms |
49700 KB |
Output is correct |
95 |
Correct |
697 ms |
52152 KB |
Output is correct |
96 |
Correct |
680 ms |
51764 KB |
Output is correct |
97 |
Correct |
685 ms |
51812 KB |
Output is correct |
98 |
Correct |
676 ms |
52084 KB |
Output is correct |
99 |
Correct |
698 ms |
51900 KB |
Output is correct |
100 |
Correct |
662 ms |
51920 KB |
Output is correct |