#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
using namespace std;
#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof... (u) ? ", " : ""), dout (u...);}
#else
#define debug(...) 7122
#endif
#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second
const int SIZE = 20;
const int MAX = 1 << SIZE;
int n, m, q;
int a[MAX];
string s;
int dp0[MAX], dp1[MAX];
void solve() {
cin >> n >> q;
cin >> s;
m = 1 << n;
FOR (i, 0, m - 1) {
a[i] = s[i] - '0';
dp0[(m - 1) ^ i] = a[i];
dp1[i] = a[i];
}
FOR (i, 0, n - 1) FOR (mask, 0, m - 1) if (mask >> i & 1) {
dp0[mask] += dp0[mask ^ (1 << i)];
dp1[mask] += dp1[mask ^ (1 << i)];
}
while (q--) {
cin >> s;
reverse(s.begin(), s.end());
int cnt[3] = {};
for (char c : s) (c == '0' ? cnt[0] : c == '1' ? cnt[1] : cnt[2])++;
int p;
FOR (i, 0, 2) if (cnt[i] == *min_element(cnt, cnt + 3)) {
p = i;
break;
}
vector<int> v;
FOR (i, 0, n - 1) if ((s[i] == '0' && p == 0) || (s[i] == '1' && p == 1) || (s[i] == '?' && p == 2)) v.pb(i);
int ans = 0;
if (p == 2) {
auto dfs = [&](auto dfs, int i, int mask)->void {
if (i == v.size()) {
ans += a[mask];
return;
}
dfs(dfs, i + 1, mask);
dfs(dfs, i + 1, mask | (1 << v[i]));
};
int mask = 0;
FOR (i, 0, n - 1) if (s[i] == '1') mask |= 1 << i;
dfs(dfs, 0, mask);
} else if (p == 0) {
auto dfs = [&](auto dfs, int i, int mask, int cnt)->void {
if (i == v.size()) {
ans += (cnt & 1 ? -dp0[mask] : dp0[mask]);
return;
}
dfs(dfs, i + 1, mask | (1 << v[i]), cnt - 1);
dfs(dfs, i + 1, mask, cnt);
};
int mask = 0;
FOR (i, 0, n - 1) if (s[i] == '?') mask |= 1 << i;
dfs(dfs, 0, mask, cnt[0]);
} else {
auto dfs = [&](auto dfs, int i, int mask, int cnt)->void {
if (i == v.size()) {
ans += (cnt & 1 ? -dp1[mask] : dp1[mask]);
return;
}
dfs(dfs, i + 1, mask | (1 << v[i]), cnt - 1);
dfs(dfs, i + 1, mask, cnt);
};
int mask = 0;
FOR (i, 0, n - 1) if (s[i] == '?') mask |= 1 << i;
dfs(dfs, 0, mask, cnt[1]);
}
cout << ans << '\n';
}
}
int main() {
Waimai;
solve();
}
Compilation message
snake_escaping.cpp: In instantiation of 'solve()::<lambda(auto:23, int, int)> [with auto:23 = solve()::<lambda(auto:23, int, int)>]':
snake_escaping.cpp:67:29: required from here
snake_escaping.cpp:58:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
58 | if (i == v.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In instantiation of 'solve()::<lambda(auto:24, int, int, int)> [with auto:24 = solve()::<lambda(auto:24, int, int, int)>]':
snake_escaping.cpp:79:37: required from here
snake_escaping.cpp:70:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | if (i == v.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In instantiation of 'solve()::<lambda(auto:25, int, int, int)> [with auto:25 = solve()::<lambda(auto:25, int, int, int)>]':
snake_escaping.cpp:91:37: required from here
snake_escaping.cpp:82:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
82 | if (i == v.size()) {
| ~~^~~~~~~~~~~
snake_escaping.cpp: In function 'void solve()':
snake_escaping.cpp:68:16: warning: 'p' may be used uninitialized in this function [-Wmaybe-uninitialized]
68 | } else if (p == 0) {
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
263 ms |
4240 KB |
Output is correct |
12 |
Correct |
293 ms |
3984 KB |
Output is correct |
13 |
Correct |
420 ms |
3216 KB |
Output is correct |
14 |
Correct |
438 ms |
3440 KB |
Output is correct |
15 |
Correct |
354 ms |
4244 KB |
Output is correct |
16 |
Correct |
458 ms |
3500 KB |
Output is correct |
17 |
Correct |
445 ms |
3420 KB |
Output is correct |
18 |
Correct |
227 ms |
5328 KB |
Output is correct |
19 |
Correct |
247 ms |
2268 KB |
Output is correct |
20 |
Correct |
297 ms |
3956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
263 ms |
4240 KB |
Output is correct |
12 |
Correct |
293 ms |
3984 KB |
Output is correct |
13 |
Correct |
420 ms |
3216 KB |
Output is correct |
14 |
Correct |
438 ms |
3440 KB |
Output is correct |
15 |
Correct |
354 ms |
4244 KB |
Output is correct |
16 |
Correct |
458 ms |
3500 KB |
Output is correct |
17 |
Correct |
445 ms |
3420 KB |
Output is correct |
18 |
Correct |
227 ms |
5328 KB |
Output is correct |
19 |
Correct |
247 ms |
2268 KB |
Output is correct |
20 |
Correct |
297 ms |
3956 KB |
Output is correct |
21 |
Correct |
336 ms |
4472 KB |
Output is correct |
22 |
Correct |
385 ms |
4588 KB |
Output is correct |
23 |
Correct |
560 ms |
3552 KB |
Output is correct |
24 |
Correct |
634 ms |
3460 KB |
Output is correct |
25 |
Correct |
432 ms |
5440 KB |
Output is correct |
26 |
Correct |
618 ms |
3876 KB |
Output is correct |
27 |
Correct |
596 ms |
3896 KB |
Output is correct |
28 |
Correct |
208 ms |
6504 KB |
Output is correct |
29 |
Correct |
331 ms |
2384 KB |
Output is correct |
30 |
Correct |
393 ms |
4740 KB |
Output is correct |
31 |
Correct |
525 ms |
4464 KB |
Output is correct |
32 |
Correct |
568 ms |
4676 KB |
Output is correct |
33 |
Correct |
448 ms |
3332 KB |
Output is correct |
34 |
Correct |
579 ms |
3356 KB |
Output is correct |
35 |
Correct |
608 ms |
3824 KB |
Output is correct |
36 |
Correct |
238 ms |
2428 KB |
Output is correct |
37 |
Correct |
319 ms |
4432 KB |
Output is correct |
38 |
Correct |
380 ms |
2356 KB |
Output is correct |
39 |
Correct |
522 ms |
3716 KB |
Output is correct |
40 |
Correct |
580 ms |
3396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
50 ms |
13952 KB |
Output is correct |
12 |
Correct |
48 ms |
13920 KB |
Output is correct |
13 |
Correct |
73 ms |
13912 KB |
Output is correct |
14 |
Correct |
92 ms |
13912 KB |
Output is correct |
15 |
Correct |
54 ms |
14060 KB |
Output is correct |
16 |
Correct |
84 ms |
14044 KB |
Output is correct |
17 |
Correct |
77 ms |
13944 KB |
Output is correct |
18 |
Correct |
38 ms |
14060 KB |
Output is correct |
19 |
Correct |
63 ms |
13788 KB |
Output is correct |
20 |
Correct |
55 ms |
13924 KB |
Output is correct |
21 |
Correct |
77 ms |
14012 KB |
Output is correct |
22 |
Correct |
74 ms |
13964 KB |
Output is correct |
23 |
Correct |
50 ms |
13852 KB |
Output is correct |
24 |
Correct |
103 ms |
13900 KB |
Output is correct |
25 |
Correct |
82 ms |
13876 KB |
Output is correct |
26 |
Correct |
50 ms |
13804 KB |
Output is correct |
27 |
Correct |
49 ms |
13912 KB |
Output is correct |
28 |
Correct |
51 ms |
13800 KB |
Output is correct |
29 |
Correct |
61 ms |
13948 KB |
Output is correct |
30 |
Correct |
77 ms |
13884 KB |
Output is correct |
31 |
Correct |
54 ms |
13888 KB |
Output is correct |
32 |
Correct |
84 ms |
13924 KB |
Output is correct |
33 |
Correct |
88 ms |
13924 KB |
Output is correct |
34 |
Correct |
33 ms |
13800 KB |
Output is correct |
35 |
Correct |
70 ms |
13912 KB |
Output is correct |
36 |
Correct |
65 ms |
13956 KB |
Output is correct |
37 |
Correct |
76 ms |
13920 KB |
Output is correct |
38 |
Correct |
87 ms |
13904 KB |
Output is correct |
39 |
Correct |
66 ms |
13904 KB |
Output is correct |
40 |
Correct |
67 ms |
13936 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
263 ms |
4240 KB |
Output is correct |
12 |
Correct |
293 ms |
3984 KB |
Output is correct |
13 |
Correct |
420 ms |
3216 KB |
Output is correct |
14 |
Correct |
438 ms |
3440 KB |
Output is correct |
15 |
Correct |
354 ms |
4244 KB |
Output is correct |
16 |
Correct |
458 ms |
3500 KB |
Output is correct |
17 |
Correct |
445 ms |
3420 KB |
Output is correct |
18 |
Correct |
227 ms |
5328 KB |
Output is correct |
19 |
Correct |
247 ms |
2268 KB |
Output is correct |
20 |
Correct |
297 ms |
3956 KB |
Output is correct |
21 |
Correct |
336 ms |
4472 KB |
Output is correct |
22 |
Correct |
385 ms |
4588 KB |
Output is correct |
23 |
Correct |
560 ms |
3552 KB |
Output is correct |
24 |
Correct |
634 ms |
3460 KB |
Output is correct |
25 |
Correct |
432 ms |
5440 KB |
Output is correct |
26 |
Correct |
618 ms |
3876 KB |
Output is correct |
27 |
Correct |
596 ms |
3896 KB |
Output is correct |
28 |
Correct |
208 ms |
6504 KB |
Output is correct |
29 |
Correct |
331 ms |
2384 KB |
Output is correct |
30 |
Correct |
393 ms |
4740 KB |
Output is correct |
31 |
Correct |
525 ms |
4464 KB |
Output is correct |
32 |
Correct |
568 ms |
4676 KB |
Output is correct |
33 |
Correct |
448 ms |
3332 KB |
Output is correct |
34 |
Correct |
579 ms |
3356 KB |
Output is correct |
35 |
Correct |
608 ms |
3824 KB |
Output is correct |
36 |
Correct |
238 ms |
2428 KB |
Output is correct |
37 |
Correct |
319 ms |
4432 KB |
Output is correct |
38 |
Correct |
380 ms |
2356 KB |
Output is correct |
39 |
Correct |
522 ms |
3716 KB |
Output is correct |
40 |
Correct |
580 ms |
3396 KB |
Output is correct |
41 |
Correct |
50 ms |
13952 KB |
Output is correct |
42 |
Correct |
48 ms |
13920 KB |
Output is correct |
43 |
Correct |
73 ms |
13912 KB |
Output is correct |
44 |
Correct |
92 ms |
13912 KB |
Output is correct |
45 |
Correct |
54 ms |
14060 KB |
Output is correct |
46 |
Correct |
84 ms |
14044 KB |
Output is correct |
47 |
Correct |
77 ms |
13944 KB |
Output is correct |
48 |
Correct |
38 ms |
14060 KB |
Output is correct |
49 |
Correct |
63 ms |
13788 KB |
Output is correct |
50 |
Correct |
55 ms |
13924 KB |
Output is correct |
51 |
Correct |
77 ms |
14012 KB |
Output is correct |
52 |
Correct |
74 ms |
13964 KB |
Output is correct |
53 |
Correct |
50 ms |
13852 KB |
Output is correct |
54 |
Correct |
103 ms |
13900 KB |
Output is correct |
55 |
Correct |
82 ms |
13876 KB |
Output is correct |
56 |
Correct |
50 ms |
13804 KB |
Output is correct |
57 |
Correct |
49 ms |
13912 KB |
Output is correct |
58 |
Correct |
51 ms |
13800 KB |
Output is correct |
59 |
Correct |
61 ms |
13948 KB |
Output is correct |
60 |
Correct |
77 ms |
13884 KB |
Output is correct |
61 |
Correct |
54 ms |
13888 KB |
Output is correct |
62 |
Correct |
84 ms |
13924 KB |
Output is correct |
63 |
Correct |
88 ms |
13924 KB |
Output is correct |
64 |
Correct |
33 ms |
13800 KB |
Output is correct |
65 |
Correct |
70 ms |
13912 KB |
Output is correct |
66 |
Correct |
65 ms |
13956 KB |
Output is correct |
67 |
Correct |
76 ms |
13920 KB |
Output is correct |
68 |
Correct |
87 ms |
13904 KB |
Output is correct |
69 |
Correct |
66 ms |
13904 KB |
Output is correct |
70 |
Correct |
67 ms |
13936 KB |
Output is correct |
71 |
Correct |
503 ms |
18784 KB |
Output is correct |
72 |
Correct |
525 ms |
18852 KB |
Output is correct |
73 |
Correct |
923 ms |
17400 KB |
Output is correct |
74 |
Correct |
1138 ms |
19724 KB |
Output is correct |
75 |
Correct |
673 ms |
27700 KB |
Output is correct |
76 |
Correct |
1143 ms |
25632 KB |
Output is correct |
77 |
Correct |
1183 ms |
25728 KB |
Output is correct |
78 |
Correct |
291 ms |
29808 KB |
Output is correct |
79 |
Correct |
517 ms |
23732 KB |
Output is correct |
80 |
Correct |
528 ms |
26656 KB |
Output is correct |
81 |
Correct |
853 ms |
26284 KB |
Output is correct |
82 |
Correct |
1261 ms |
25536 KB |
Output is correct |
83 |
Correct |
646 ms |
25092 KB |
Output is correct |
84 |
Correct |
1594 ms |
25464 KB |
Output is correct |
85 |
Correct |
1264 ms |
25760 KB |
Output is correct |
86 |
Correct |
311 ms |
23772 KB |
Output is correct |
87 |
Correct |
530 ms |
26572 KB |
Output is correct |
88 |
Correct |
563 ms |
23908 KB |
Output is correct |
89 |
Correct |
947 ms |
25140 KB |
Output is correct |
90 |
Correct |
1106 ms |
25776 KB |
Output is correct |
91 |
Correct |
608 ms |
24504 KB |
Output is correct |
92 |
Correct |
1305 ms |
25744 KB |
Output is correct |
93 |
Correct |
1173 ms |
25860 KB |
Output is correct |
94 |
Correct |
252 ms |
23652 KB |
Output is correct |
95 |
Correct |
999 ms |
26020 KB |
Output is correct |
96 |
Correct |
973 ms |
25920 KB |
Output is correct |
97 |
Correct |
932 ms |
26016 KB |
Output is correct |
98 |
Correct |
943 ms |
25732 KB |
Output is correct |
99 |
Correct |
999 ms |
26064 KB |
Output is correct |
100 |
Correct |
934 ms |
26040 KB |
Output is correct |