#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define f first
#define s second
#define pb push_back
#define ep emplace
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define uniquev(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define mem(f,x) memset(f , x , sizeof(f))
#define sz(x) (ll)(x).size()
#define __lcm(a, b) (1ll * ((a) / __gcd((a), (b))) * (b))
#define mxx *max_element
#define mnn *min_element
#define cntbit(x) __builtin_popcountll(x)
#define len(x) (int)(x.length())
const int N = 1 << 20;
int f1[N], f2[N], v[N];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, q;
cin >> n >> q;
string s;
cin >> s;
int all = (1 << n) - 1;
for (int i = 0; i < (1 << n); i++) {
v[i] = s[i] - '0';
f1[i] = v[i];
f2[all ^ i] = v[i];
}
for (int i = 0; i < n; i++) {
for (int mask = (1 << n) - 1; mask >= 0; mask--) {
if ((mask & (1 << i)))
continue;
f1[mask] += f1[mask ^ (1 << i)];
f2[mask] += f2[mask ^ (1 << i)];
}
}
for (int i = 0; i < q; i++) {
string s;
cin >> s;
int on = 0, off = 0, cc = 0;
for (int j = 0; j < n; j++) {
if (s[j] == '1') {
on |= (1 << (n - j - 1));
}
if (s[j] == '0') {
off |= (1 << (n - j - 1));
}
if (s[j] == '?') {
cc |= (1 << (n - j - 1));
}
}
int ans = 0;
if (cntbit(cc) <= 6) {
ans = v[on];
for (int sub = cc; sub; sub = cc & (sub - 1)) {
ans += v[sub | on];
}
} else if (cntbit(on) <= 6) {
ans = f2[off];
for (int sub = on; sub; sub = on & (sub - 1)) {
if (cntbit(sub) % 2) {
ans -= f2[sub | off];
} else {
ans += f2[sub | off];
}
}
} else {
ans = f1[on];
for (int sub = off; sub; sub = off & (sub - 1)) {
if (cntbit(sub) % 2) {
ans -= f1[sub | on];
} else {
ans += f1[sub | on];
}
}
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
476 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
476 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
170 ms |
14384 KB |
Output is correct |
12 |
Correct |
167 ms |
13908 KB |
Output is correct |
13 |
Correct |
167 ms |
13136 KB |
Output is correct |
14 |
Correct |
179 ms |
13396 KB |
Output is correct |
15 |
Correct |
197 ms |
14252 KB |
Output is correct |
16 |
Correct |
184 ms |
13396 KB |
Output is correct |
17 |
Correct |
185 ms |
13604 KB |
Output is correct |
18 |
Correct |
102 ms |
15452 KB |
Output is correct |
19 |
Correct |
130 ms |
12384 KB |
Output is correct |
20 |
Correct |
164 ms |
13960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
476 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
170 ms |
14384 KB |
Output is correct |
12 |
Correct |
167 ms |
13908 KB |
Output is correct |
13 |
Correct |
167 ms |
13136 KB |
Output is correct |
14 |
Correct |
179 ms |
13396 KB |
Output is correct |
15 |
Correct |
197 ms |
14252 KB |
Output is correct |
16 |
Correct |
184 ms |
13396 KB |
Output is correct |
17 |
Correct |
185 ms |
13604 KB |
Output is correct |
18 |
Correct |
102 ms |
15452 KB |
Output is correct |
19 |
Correct |
130 ms |
12384 KB |
Output is correct |
20 |
Correct |
164 ms |
13960 KB |
Output is correct |
21 |
Correct |
323 ms |
16980 KB |
Output is correct |
22 |
Correct |
184 ms |
16980 KB |
Output is correct |
23 |
Correct |
199 ms |
15952 KB |
Output is correct |
24 |
Correct |
186 ms |
15884 KB |
Output is correct |
25 |
Correct |
198 ms |
17964 KB |
Output is correct |
26 |
Correct |
207 ms |
16256 KB |
Output is correct |
27 |
Correct |
210 ms |
16208 KB |
Output is correct |
28 |
Correct |
112 ms |
18780 KB |
Output is correct |
29 |
Correct |
149 ms |
14932 KB |
Output is correct |
30 |
Correct |
251 ms |
15304 KB |
Output is correct |
31 |
Correct |
240 ms |
15184 KB |
Output is correct |
32 |
Correct |
215 ms |
14956 KB |
Output is correct |
33 |
Correct |
188 ms |
14160 KB |
Output is correct |
34 |
Correct |
189 ms |
14160 KB |
Output is correct |
35 |
Correct |
214 ms |
14448 KB |
Output is correct |
36 |
Correct |
105 ms |
13192 KB |
Output is correct |
37 |
Correct |
203 ms |
14944 KB |
Output is correct |
38 |
Correct |
178 ms |
13140 KB |
Output is correct |
39 |
Correct |
223 ms |
14160 KB |
Output is correct |
40 |
Correct |
204 ms |
14164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
476 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
38 ms |
16112 KB |
Output is correct |
12 |
Correct |
44 ms |
16116 KB |
Output is correct |
13 |
Correct |
45 ms |
16116 KB |
Output is correct |
14 |
Correct |
57 ms |
16120 KB |
Output is correct |
15 |
Correct |
42 ms |
16116 KB |
Output is correct |
16 |
Correct |
54 ms |
16116 KB |
Output is correct |
17 |
Correct |
48 ms |
16116 KB |
Output is correct |
18 |
Correct |
35 ms |
16116 KB |
Output is correct |
19 |
Correct |
39 ms |
15956 KB |
Output is correct |
20 |
Correct |
41 ms |
16048 KB |
Output is correct |
21 |
Correct |
48 ms |
16116 KB |
Output is correct |
22 |
Correct |
53 ms |
16004 KB |
Output is correct |
23 |
Correct |
41 ms |
16100 KB |
Output is correct |
24 |
Correct |
48 ms |
16120 KB |
Output is correct |
25 |
Correct |
50 ms |
15952 KB |
Output is correct |
26 |
Correct |
49 ms |
15920 KB |
Output is correct |
27 |
Correct |
38 ms |
16120 KB |
Output is correct |
28 |
Correct |
41 ms |
15860 KB |
Output is correct |
29 |
Correct |
43 ms |
16116 KB |
Output is correct |
30 |
Correct |
44 ms |
16120 KB |
Output is correct |
31 |
Correct |
43 ms |
15960 KB |
Output is correct |
32 |
Correct |
50 ms |
16116 KB |
Output is correct |
33 |
Correct |
48 ms |
16116 KB |
Output is correct |
34 |
Correct |
34 ms |
15872 KB |
Output is correct |
35 |
Correct |
43 ms |
15912 KB |
Output is correct |
36 |
Correct |
46 ms |
15952 KB |
Output is correct |
37 |
Correct |
42 ms |
16116 KB |
Output is correct |
38 |
Correct |
53 ms |
15960 KB |
Output is correct |
39 |
Correct |
42 ms |
16124 KB |
Output is correct |
40 |
Correct |
43 ms |
15956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
476 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
476 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
170 ms |
14384 KB |
Output is correct |
12 |
Correct |
167 ms |
13908 KB |
Output is correct |
13 |
Correct |
167 ms |
13136 KB |
Output is correct |
14 |
Correct |
179 ms |
13396 KB |
Output is correct |
15 |
Correct |
197 ms |
14252 KB |
Output is correct |
16 |
Correct |
184 ms |
13396 KB |
Output is correct |
17 |
Correct |
185 ms |
13604 KB |
Output is correct |
18 |
Correct |
102 ms |
15452 KB |
Output is correct |
19 |
Correct |
130 ms |
12384 KB |
Output is correct |
20 |
Correct |
164 ms |
13960 KB |
Output is correct |
21 |
Correct |
323 ms |
16980 KB |
Output is correct |
22 |
Correct |
184 ms |
16980 KB |
Output is correct |
23 |
Correct |
199 ms |
15952 KB |
Output is correct |
24 |
Correct |
186 ms |
15884 KB |
Output is correct |
25 |
Correct |
198 ms |
17964 KB |
Output is correct |
26 |
Correct |
207 ms |
16256 KB |
Output is correct |
27 |
Correct |
210 ms |
16208 KB |
Output is correct |
28 |
Correct |
112 ms |
18780 KB |
Output is correct |
29 |
Correct |
149 ms |
14932 KB |
Output is correct |
30 |
Correct |
251 ms |
15304 KB |
Output is correct |
31 |
Correct |
240 ms |
15184 KB |
Output is correct |
32 |
Correct |
215 ms |
14956 KB |
Output is correct |
33 |
Correct |
188 ms |
14160 KB |
Output is correct |
34 |
Correct |
189 ms |
14160 KB |
Output is correct |
35 |
Correct |
214 ms |
14448 KB |
Output is correct |
36 |
Correct |
105 ms |
13192 KB |
Output is correct |
37 |
Correct |
203 ms |
14944 KB |
Output is correct |
38 |
Correct |
178 ms |
13140 KB |
Output is correct |
39 |
Correct |
223 ms |
14160 KB |
Output is correct |
40 |
Correct |
204 ms |
14164 KB |
Output is correct |
41 |
Correct |
38 ms |
16112 KB |
Output is correct |
42 |
Correct |
44 ms |
16116 KB |
Output is correct |
43 |
Correct |
45 ms |
16116 KB |
Output is correct |
44 |
Correct |
57 ms |
16120 KB |
Output is correct |
45 |
Correct |
42 ms |
16116 KB |
Output is correct |
46 |
Correct |
54 ms |
16116 KB |
Output is correct |
47 |
Correct |
48 ms |
16116 KB |
Output is correct |
48 |
Correct |
35 ms |
16116 KB |
Output is correct |
49 |
Correct |
39 ms |
15956 KB |
Output is correct |
50 |
Correct |
41 ms |
16048 KB |
Output is correct |
51 |
Correct |
48 ms |
16116 KB |
Output is correct |
52 |
Correct |
53 ms |
16004 KB |
Output is correct |
53 |
Correct |
41 ms |
16100 KB |
Output is correct |
54 |
Correct |
48 ms |
16120 KB |
Output is correct |
55 |
Correct |
50 ms |
15952 KB |
Output is correct |
56 |
Correct |
49 ms |
15920 KB |
Output is correct |
57 |
Correct |
38 ms |
16120 KB |
Output is correct |
58 |
Correct |
41 ms |
15860 KB |
Output is correct |
59 |
Correct |
43 ms |
16116 KB |
Output is correct |
60 |
Correct |
44 ms |
16120 KB |
Output is correct |
61 |
Correct |
43 ms |
15960 KB |
Output is correct |
62 |
Correct |
50 ms |
16116 KB |
Output is correct |
63 |
Correct |
48 ms |
16116 KB |
Output is correct |
64 |
Correct |
34 ms |
15872 KB |
Output is correct |
65 |
Correct |
43 ms |
15912 KB |
Output is correct |
66 |
Correct |
46 ms |
15952 KB |
Output is correct |
67 |
Correct |
42 ms |
16116 KB |
Output is correct |
68 |
Correct |
53 ms |
15960 KB |
Output is correct |
69 |
Correct |
42 ms |
16124 KB |
Output is correct |
70 |
Correct |
43 ms |
15956 KB |
Output is correct |
71 |
Correct |
247 ms |
40356 KB |
Output is correct |
72 |
Correct |
288 ms |
40436 KB |
Output is correct |
73 |
Correct |
321 ms |
38996 KB |
Output is correct |
74 |
Correct |
616 ms |
39256 KB |
Output is correct |
75 |
Correct |
308 ms |
41328 KB |
Output is correct |
76 |
Correct |
493 ms |
39672 KB |
Output is correct |
77 |
Correct |
430 ms |
39504 KB |
Output is correct |
78 |
Correct |
199 ms |
43228 KB |
Output is correct |
79 |
Correct |
268 ms |
37364 KB |
Output is correct |
80 |
Correct |
313 ms |
40432 KB |
Output is correct |
81 |
Correct |
390 ms |
40432 KB |
Output is correct |
82 |
Correct |
537 ms |
39408 KB |
Output is correct |
83 |
Correct |
298 ms |
38404 KB |
Output is correct |
84 |
Correct |
374 ms |
39392 KB |
Output is correct |
85 |
Correct |
455 ms |
39416 KB |
Output is correct |
86 |
Correct |
180 ms |
37432 KB |
Output is correct |
87 |
Correct |
306 ms |
40280 KB |
Output is correct |
88 |
Correct |
299 ms |
37228 KB |
Output is correct |
89 |
Correct |
372 ms |
38900 KB |
Output is correct |
90 |
Correct |
406 ms |
39416 KB |
Output is correct |
91 |
Correct |
291 ms |
38480 KB |
Output is correct |
92 |
Correct |
572 ms |
39404 KB |
Output is correct |
93 |
Correct |
475 ms |
39412 KB |
Output is correct |
94 |
Correct |
210 ms |
37352 KB |
Output is correct |
95 |
Correct |
410 ms |
39508 KB |
Output is correct |
96 |
Correct |
415 ms |
39492 KB |
Output is correct |
97 |
Correct |
373 ms |
39496 KB |
Output is correct |
98 |
Correct |
399 ms |
39504 KB |
Output is correct |
99 |
Correct |
446 ms |
39412 KB |
Output is correct |
100 |
Correct |
372 ms |
39408 KB |
Output is correct |