#include <bits/stdc++.h>
using namespace std;
namespace {}
void solve() {
int h, q;
cin >> h >> q;
uint32_t n = 1 << h;
string a;
cin >> a;
vector<int> b(n);
for (uint32_t x = 0; x < n; x++) {
b[x] = a[x] - '0';
}
vector dp_sub = b, dp_super = b;
for (int s = 0; s < h; s++) {
for (uint32_t x = n - 1; x + 1 > 0; x--) {
if (x >> s & 1) {
dp_sub[x] += dp_sub[x ^ (1u << s)];
}
}
for (uint32_t x = 0; x < n; x++) {
if (!(x >> s & 1)) {
dp_super[x] += dp_super[x | (1u << s)];
}
}
}
for (int i = 0; i < q; i++) {
string t;
cin >> t;
reverse(t.begin(), t.end());
array<uint32_t, 3> v;
v.fill(0);
for (int s = 0; s < h; s++) {
if (t[s] == '0') {
v[0] |= 1u << s;
} else if (t[s] == '1') {
v[1] |= 1u << s;
} else {
v[2] |= 1u << s;
}
}
int ans = 0;
{
auto it = min_element(v.begin(), v.end(), [&](uint32_t x, uint32_t y) -> bool {
return __builtin_popcount(x) < __builtin_popcount(y);
});
int p = distance(v.begin(), it);
for (uint32_t x = v[p];; x = (x - 1) & v[p]) {
if (p == 2) {
ans += b[v[1] | x];
} else {
int term = p == 1 ? dp_sub[(v[1] ^ x) | v[2]] : dp_super[v[1] | x];
if (__builtin_parity(x) == 0) {
ans += term;
} else {
ans -= term;
}
}
if (x == 0) {
break;
}
}
}
cout << ans << '\n';
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 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 |
348 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 |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 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 |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
173 ms |
15164 KB |
Output is correct |
12 |
Correct |
178 ms |
14672 KB |
Output is correct |
13 |
Correct |
205 ms |
13908 KB |
Output is correct |
14 |
Correct |
210 ms |
13960 KB |
Output is correct |
15 |
Correct |
192 ms |
15164 KB |
Output is correct |
16 |
Correct |
231 ms |
14144 KB |
Output is correct |
17 |
Correct |
218 ms |
14272 KB |
Output is correct |
18 |
Correct |
138 ms |
16028 KB |
Output is correct |
19 |
Correct |
169 ms |
13032 KB |
Output is correct |
20 |
Correct |
217 ms |
14632 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 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 |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
173 ms |
15164 KB |
Output is correct |
12 |
Correct |
178 ms |
14672 KB |
Output is correct |
13 |
Correct |
205 ms |
13908 KB |
Output is correct |
14 |
Correct |
210 ms |
13960 KB |
Output is correct |
15 |
Correct |
192 ms |
15164 KB |
Output is correct |
16 |
Correct |
231 ms |
14144 KB |
Output is correct |
17 |
Correct |
218 ms |
14272 KB |
Output is correct |
18 |
Correct |
138 ms |
16028 KB |
Output is correct |
19 |
Correct |
169 ms |
13032 KB |
Output is correct |
20 |
Correct |
217 ms |
14632 KB |
Output is correct |
21 |
Correct |
205 ms |
18000 KB |
Output is correct |
22 |
Correct |
212 ms |
18316 KB |
Output is correct |
23 |
Correct |
250 ms |
17220 KB |
Output is correct |
24 |
Correct |
258 ms |
17236 KB |
Output is correct |
25 |
Correct |
213 ms |
19092 KB |
Output is correct |
26 |
Correct |
265 ms |
17744 KB |
Output is correct |
27 |
Correct |
252 ms |
17676 KB |
Output is correct |
28 |
Correct |
163 ms |
20148 KB |
Output is correct |
29 |
Correct |
200 ms |
15996 KB |
Output is correct |
30 |
Correct |
228 ms |
18216 KB |
Output is correct |
31 |
Correct |
237 ms |
18060 KB |
Output is correct |
32 |
Correct |
255 ms |
18004 KB |
Output is correct |
33 |
Correct |
214 ms |
16956 KB |
Output is correct |
34 |
Correct |
251 ms |
17228 KB |
Output is correct |
35 |
Correct |
253 ms |
17560 KB |
Output is correct |
36 |
Correct |
149 ms |
16104 KB |
Output is correct |
37 |
Correct |
191 ms |
18256 KB |
Output is correct |
38 |
Correct |
206 ms |
16212 KB |
Output is correct |
39 |
Correct |
230 ms |
17232 KB |
Output is correct |
40 |
Correct |
254 ms |
17100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 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 |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
62 ms |
16112 KB |
Output is correct |
12 |
Correct |
63 ms |
16204 KB |
Output is correct |
13 |
Correct |
63 ms |
15968 KB |
Output is correct |
14 |
Correct |
72 ms |
15952 KB |
Output is correct |
15 |
Correct |
55 ms |
16172 KB |
Output is correct |
16 |
Correct |
71 ms |
16076 KB |
Output is correct |
17 |
Correct |
77 ms |
16116 KB |
Output is correct |
18 |
Correct |
52 ms |
16344 KB |
Output is correct |
19 |
Correct |
60 ms |
15860 KB |
Output is correct |
20 |
Correct |
65 ms |
16208 KB |
Output is correct |
21 |
Correct |
63 ms |
16188 KB |
Output is correct |
22 |
Correct |
67 ms |
16116 KB |
Output is correct |
23 |
Correct |
66 ms |
16116 KB |
Output is correct |
24 |
Correct |
68 ms |
15956 KB |
Output is correct |
25 |
Correct |
78 ms |
16120 KB |
Output is correct |
26 |
Correct |
53 ms |
15972 KB |
Output is correct |
27 |
Correct |
56 ms |
16236 KB |
Output is correct |
28 |
Correct |
61 ms |
15860 KB |
Output is correct |
29 |
Correct |
59 ms |
16112 KB |
Output is correct |
30 |
Correct |
61 ms |
15948 KB |
Output is correct |
31 |
Correct |
58 ms |
16116 KB |
Output is correct |
32 |
Correct |
71 ms |
15952 KB |
Output is correct |
33 |
Correct |
70 ms |
16120 KB |
Output is correct |
34 |
Correct |
54 ms |
15920 KB |
Output is correct |
35 |
Correct |
63 ms |
16116 KB |
Output is correct |
36 |
Correct |
61 ms |
15964 KB |
Output is correct |
37 |
Correct |
63 ms |
15952 KB |
Output is correct |
38 |
Correct |
63 ms |
15972 KB |
Output is correct |
39 |
Correct |
61 ms |
15956 KB |
Output is correct |
40 |
Correct |
69 ms |
15956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 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 |
348 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 |
344 KB |
Output is correct |
11 |
Correct |
173 ms |
15164 KB |
Output is correct |
12 |
Correct |
178 ms |
14672 KB |
Output is correct |
13 |
Correct |
205 ms |
13908 KB |
Output is correct |
14 |
Correct |
210 ms |
13960 KB |
Output is correct |
15 |
Correct |
192 ms |
15164 KB |
Output is correct |
16 |
Correct |
231 ms |
14144 KB |
Output is correct |
17 |
Correct |
218 ms |
14272 KB |
Output is correct |
18 |
Correct |
138 ms |
16028 KB |
Output is correct |
19 |
Correct |
169 ms |
13032 KB |
Output is correct |
20 |
Correct |
217 ms |
14632 KB |
Output is correct |
21 |
Correct |
205 ms |
18000 KB |
Output is correct |
22 |
Correct |
212 ms |
18316 KB |
Output is correct |
23 |
Correct |
250 ms |
17220 KB |
Output is correct |
24 |
Correct |
258 ms |
17236 KB |
Output is correct |
25 |
Correct |
213 ms |
19092 KB |
Output is correct |
26 |
Correct |
265 ms |
17744 KB |
Output is correct |
27 |
Correct |
252 ms |
17676 KB |
Output is correct |
28 |
Correct |
163 ms |
20148 KB |
Output is correct |
29 |
Correct |
200 ms |
15996 KB |
Output is correct |
30 |
Correct |
228 ms |
18216 KB |
Output is correct |
31 |
Correct |
237 ms |
18060 KB |
Output is correct |
32 |
Correct |
255 ms |
18004 KB |
Output is correct |
33 |
Correct |
214 ms |
16956 KB |
Output is correct |
34 |
Correct |
251 ms |
17228 KB |
Output is correct |
35 |
Correct |
253 ms |
17560 KB |
Output is correct |
36 |
Correct |
149 ms |
16104 KB |
Output is correct |
37 |
Correct |
191 ms |
18256 KB |
Output is correct |
38 |
Correct |
206 ms |
16212 KB |
Output is correct |
39 |
Correct |
230 ms |
17232 KB |
Output is correct |
40 |
Correct |
254 ms |
17100 KB |
Output is correct |
41 |
Correct |
62 ms |
16112 KB |
Output is correct |
42 |
Correct |
63 ms |
16204 KB |
Output is correct |
43 |
Correct |
63 ms |
15968 KB |
Output is correct |
44 |
Correct |
72 ms |
15952 KB |
Output is correct |
45 |
Correct |
55 ms |
16172 KB |
Output is correct |
46 |
Correct |
71 ms |
16076 KB |
Output is correct |
47 |
Correct |
77 ms |
16116 KB |
Output is correct |
48 |
Correct |
52 ms |
16344 KB |
Output is correct |
49 |
Correct |
60 ms |
15860 KB |
Output is correct |
50 |
Correct |
65 ms |
16208 KB |
Output is correct |
51 |
Correct |
63 ms |
16188 KB |
Output is correct |
52 |
Correct |
67 ms |
16116 KB |
Output is correct |
53 |
Correct |
66 ms |
16116 KB |
Output is correct |
54 |
Correct |
68 ms |
15956 KB |
Output is correct |
55 |
Correct |
78 ms |
16120 KB |
Output is correct |
56 |
Correct |
53 ms |
15972 KB |
Output is correct |
57 |
Correct |
56 ms |
16236 KB |
Output is correct |
58 |
Correct |
61 ms |
15860 KB |
Output is correct |
59 |
Correct |
59 ms |
16112 KB |
Output is correct |
60 |
Correct |
61 ms |
15948 KB |
Output is correct |
61 |
Correct |
58 ms |
16116 KB |
Output is correct |
62 |
Correct |
71 ms |
15952 KB |
Output is correct |
63 |
Correct |
70 ms |
16120 KB |
Output is correct |
64 |
Correct |
54 ms |
15920 KB |
Output is correct |
65 |
Correct |
63 ms |
16116 KB |
Output is correct |
66 |
Correct |
61 ms |
15964 KB |
Output is correct |
67 |
Correct |
63 ms |
15952 KB |
Output is correct |
68 |
Correct |
63 ms |
15972 KB |
Output is correct |
69 |
Correct |
61 ms |
15956 KB |
Output is correct |
70 |
Correct |
69 ms |
15956 KB |
Output is correct |
71 |
Correct |
343 ms |
40324 KB |
Output is correct |
72 |
Correct |
334 ms |
40580 KB |
Output is correct |
73 |
Correct |
412 ms |
38904 KB |
Output is correct |
74 |
Correct |
521 ms |
39396 KB |
Output is correct |
75 |
Correct |
352 ms |
41512 KB |
Output is correct |
76 |
Correct |
581 ms |
39740 KB |
Output is correct |
77 |
Correct |
604 ms |
39664 KB |
Output is correct |
78 |
Correct |
233 ms |
43428 KB |
Output is correct |
79 |
Correct |
337 ms |
37300 KB |
Output is correct |
80 |
Correct |
387 ms |
40600 KB |
Output is correct |
81 |
Correct |
426 ms |
40280 KB |
Output is correct |
82 |
Correct |
530 ms |
39284 KB |
Output is correct |
83 |
Correct |
315 ms |
38608 KB |
Output is correct |
84 |
Correct |
582 ms |
39416 KB |
Output is correct |
85 |
Correct |
508 ms |
39524 KB |
Output is correct |
86 |
Correct |
234 ms |
37392 KB |
Output is correct |
87 |
Correct |
310 ms |
40432 KB |
Output is correct |
88 |
Correct |
317 ms |
37216 KB |
Output is correct |
89 |
Correct |
371 ms |
39188 KB |
Output is correct |
90 |
Correct |
428 ms |
39260 KB |
Output is correct |
91 |
Correct |
330 ms |
38636 KB |
Output is correct |
92 |
Correct |
565 ms |
39924 KB |
Output is correct |
93 |
Correct |
533 ms |
39512 KB |
Output is correct |
94 |
Correct |
213 ms |
37360 KB |
Output is correct |
95 |
Correct |
449 ms |
39436 KB |
Output is correct |
96 |
Correct |
464 ms |
39684 KB |
Output is correct |
97 |
Correct |
437 ms |
39512 KB |
Output is correct |
98 |
Correct |
420 ms |
39412 KB |
Output is correct |
99 |
Correct |
531 ms |
39536 KB |
Output is correct |
100 |
Correct |
445 ms |
39504 KB |
Output is correct |