#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define ll long long
using namespace std;
#ifdef LOCAL
#define WOSAOJI freopen("in.txt", "r", stdin);
#else
#define WOSAOJI ios_base::sync_with_stdio(0), cin.tie(0);
#endif
#define chmax(a, b) (a) = (a) > (b) ? (a) : (b)
#define chmin(a, b) (a) = (a) < (b) ? (a) : (b)
// O(N*2^N + Q*N/3*2^(N/3) + QN)
// 4e8
int n, q;
string s;
vector<int> tmp;
int dp[1 << 20];
int dp0[1 << 20], dp1[1 << 20];
void solve1() {
int x = 0;
for (int i = 0; i < n; i++) {
x *= 2; if (s[i] != '0') x++;
if (s[i] == '1') tmp.pb(n - i - 1);
}
int ans = 0;
for (int i = 0; i < 1 << tmp.size(); i++) {
int now = x;
for (int j = 0; j < tmp.size(); j++) {
if (i >> j & 1) now -= 1 << tmp[j];
}
if (__builtin_parity(i)) ans -= dp1[now];
else ans += dp1[now];
}
cout << ans << '\n';
}
void solve0() {
int x = 0;
for (int i = 0; i < n; i++) {
x *= 2; if (s[i] == '1') x++;
if (s[i] == '0') tmp.pb(n - i - 1);
}
int ans = 0;
for (int i = 0; i < 1 << tmp.size(); i++) {
int now = x;
for (int j = 0; j < tmp.size(); j++) {
if (i >> j & 1) now += 1 << tmp[j];
}
if (__builtin_parity(i)) ans -= dp0[now];
else ans += dp0[now];
}
cout << ans << '\n';
}
void solveq() {
int x = 0;
for (int i = 0; i < n; i++) {
x *= 2; if (s[i] == '1') x++;
if (s[i] == '?') tmp.pb(n - i - 1);
}
int ans = 0;
for (int i = 0; i < 1 << tmp.size(); i++) {
int now = x;
for (int j = 0; j < tmp.size(); j++) {
if (i >> j & 1) now += 1 << tmp[j];
}
ans += dp[now];
}
cout << ans << '\n';
}
signed main() {
WOSAOJI
cin >> n >> q >> s;
for (int i = 0; i < 1 << n; i++) {
dp[i] = dp0[i] = dp1[i] = s[i] - '0';
}
for (int j = 0; j < n; j++) {
for (int i = 0; i < 1 << 20; i++) {
if (i >> j & 1) {
dp1[i] += dp1[i ^ (1 << j)];
}
}
for (int i = (1 << 20) - 1; i >= 0; i--) {
if (!(i >> j & 1)) {
dp0[i] += dp0[i ^ (1 << j)];
}
}
}
while (q--) {
tmp.clear();
cin >> s;
int zc = 0, oc = 0, qc = 0;
for (char c : s) {
if (c == '0') zc++;
if (c == '1') oc++;
if (c == '?') qc++;
}
if (oc <= zc and oc <= qc) {
solve1();
}
else if (zc <= oc and zc <= qc) {
solve0();
}
else {
solveq();
}
}
}
Compilation message
snake_escaping.cpp: In function 'void solve1()':
snake_escaping.cpp:36:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
36 | for (int j = 0; j < tmp.size(); j++) {
| ~~^~~~~~~~~~~~
snake_escaping.cpp: In function 'void solve0()':
snake_escaping.cpp:53:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
53 | for (int j = 0; j < tmp.size(); j++) {
| ~~^~~~~~~~~~~~
snake_escaping.cpp: In function 'void solveq()':
snake_escaping.cpp:70:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | for (int j = 0; j < tmp.size(); j++) {
| ~~^~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
8532 KB |
Output is correct |
2 |
Correct |
28 ms |
8532 KB |
Output is correct |
3 |
Correct |
26 ms |
8532 KB |
Output is correct |
4 |
Correct |
25 ms |
8532 KB |
Output is correct |
5 |
Correct |
26 ms |
8544 KB |
Output is correct |
6 |
Correct |
25 ms |
8532 KB |
Output is correct |
7 |
Correct |
25 ms |
8528 KB |
Output is correct |
8 |
Correct |
25 ms |
8532 KB |
Output is correct |
9 |
Correct |
25 ms |
8532 KB |
Output is correct |
10 |
Correct |
25 ms |
8532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
8532 KB |
Output is correct |
2 |
Correct |
28 ms |
8532 KB |
Output is correct |
3 |
Correct |
26 ms |
8532 KB |
Output is correct |
4 |
Correct |
25 ms |
8532 KB |
Output is correct |
5 |
Correct |
26 ms |
8544 KB |
Output is correct |
6 |
Correct |
25 ms |
8532 KB |
Output is correct |
7 |
Correct |
25 ms |
8528 KB |
Output is correct |
8 |
Correct |
25 ms |
8532 KB |
Output is correct |
9 |
Correct |
25 ms |
8532 KB |
Output is correct |
10 |
Correct |
25 ms |
8532 KB |
Output is correct |
11 |
Correct |
255 ms |
23228 KB |
Output is correct |
12 |
Correct |
235 ms |
22916 KB |
Output is correct |
13 |
Correct |
319 ms |
22128 KB |
Output is correct |
14 |
Correct |
322 ms |
22276 KB |
Output is correct |
15 |
Correct |
284 ms |
23164 KB |
Output is correct |
16 |
Correct |
395 ms |
22360 KB |
Output is correct |
17 |
Correct |
351 ms |
22396 KB |
Output is correct |
18 |
Correct |
178 ms |
24220 KB |
Output is correct |
19 |
Correct |
244 ms |
21212 KB |
Output is correct |
20 |
Correct |
251 ms |
22860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
8532 KB |
Output is correct |
2 |
Correct |
28 ms |
8532 KB |
Output is correct |
3 |
Correct |
26 ms |
8532 KB |
Output is correct |
4 |
Correct |
25 ms |
8532 KB |
Output is correct |
5 |
Correct |
26 ms |
8544 KB |
Output is correct |
6 |
Correct |
25 ms |
8532 KB |
Output is correct |
7 |
Correct |
25 ms |
8528 KB |
Output is correct |
8 |
Correct |
25 ms |
8532 KB |
Output is correct |
9 |
Correct |
25 ms |
8532 KB |
Output is correct |
10 |
Correct |
25 ms |
8532 KB |
Output is correct |
11 |
Correct |
255 ms |
23228 KB |
Output is correct |
12 |
Correct |
235 ms |
22916 KB |
Output is correct |
13 |
Correct |
319 ms |
22128 KB |
Output is correct |
14 |
Correct |
322 ms |
22276 KB |
Output is correct |
15 |
Correct |
284 ms |
23164 KB |
Output is correct |
16 |
Correct |
395 ms |
22360 KB |
Output is correct |
17 |
Correct |
351 ms |
22396 KB |
Output is correct |
18 |
Correct |
178 ms |
24220 KB |
Output is correct |
19 |
Correct |
244 ms |
21212 KB |
Output is correct |
20 |
Correct |
251 ms |
22860 KB |
Output is correct |
21 |
Correct |
273 ms |
26288 KB |
Output is correct |
22 |
Correct |
329 ms |
26420 KB |
Output is correct |
23 |
Correct |
393 ms |
25404 KB |
Output is correct |
24 |
Correct |
428 ms |
25220 KB |
Output is correct |
25 |
Correct |
325 ms |
27252 KB |
Output is correct |
26 |
Correct |
436 ms |
25756 KB |
Output is correct |
27 |
Correct |
417 ms |
25720 KB |
Output is correct |
28 |
Correct |
211 ms |
28264 KB |
Output is correct |
29 |
Correct |
284 ms |
24224 KB |
Output is correct |
30 |
Correct |
313 ms |
26388 KB |
Output is correct |
31 |
Correct |
412 ms |
26264 KB |
Output is correct |
32 |
Correct |
429 ms |
26320 KB |
Output is correct |
33 |
Correct |
402 ms |
25056 KB |
Output is correct |
34 |
Correct |
450 ms |
25232 KB |
Output is correct |
35 |
Correct |
440 ms |
25716 KB |
Output is correct |
36 |
Correct |
221 ms |
24224 KB |
Output is correct |
37 |
Correct |
283 ms |
26300 KB |
Output is correct |
38 |
Correct |
330 ms |
24232 KB |
Output is correct |
39 |
Correct |
422 ms |
25448 KB |
Output is correct |
40 |
Correct |
463 ms |
25200 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
8532 KB |
Output is correct |
2 |
Correct |
28 ms |
8532 KB |
Output is correct |
3 |
Correct |
26 ms |
8532 KB |
Output is correct |
4 |
Correct |
25 ms |
8532 KB |
Output is correct |
5 |
Correct |
26 ms |
8544 KB |
Output is correct |
6 |
Correct |
25 ms |
8532 KB |
Output is correct |
7 |
Correct |
25 ms |
8528 KB |
Output is correct |
8 |
Correct |
25 ms |
8532 KB |
Output is correct |
9 |
Correct |
25 ms |
8532 KB |
Output is correct |
10 |
Correct |
25 ms |
8532 KB |
Output is correct |
11 |
Correct |
81 ms |
16064 KB |
Output is correct |
12 |
Correct |
86 ms |
16076 KB |
Output is correct |
13 |
Correct |
92 ms |
15980 KB |
Output is correct |
14 |
Correct |
102 ms |
15952 KB |
Output is correct |
15 |
Correct |
71 ms |
16008 KB |
Output is correct |
16 |
Correct |
110 ms |
16064 KB |
Output is correct |
17 |
Correct |
96 ms |
15936 KB |
Output is correct |
18 |
Correct |
59 ms |
16192 KB |
Output is correct |
19 |
Correct |
66 ms |
15900 KB |
Output is correct |
20 |
Correct |
88 ms |
16068 KB |
Output is correct |
21 |
Correct |
80 ms |
16024 KB |
Output is correct |
22 |
Correct |
106 ms |
15944 KB |
Output is correct |
23 |
Correct |
77 ms |
15980 KB |
Output is correct |
24 |
Correct |
122 ms |
15960 KB |
Output is correct |
25 |
Correct |
103 ms |
15972 KB |
Output is correct |
26 |
Correct |
57 ms |
15852 KB |
Output is correct |
27 |
Correct |
65 ms |
16064 KB |
Output is correct |
28 |
Correct |
66 ms |
15848 KB |
Output is correct |
29 |
Correct |
111 ms |
15932 KB |
Output is correct |
30 |
Correct |
114 ms |
15964 KB |
Output is correct |
31 |
Correct |
77 ms |
15936 KB |
Output is correct |
32 |
Correct |
118 ms |
15980 KB |
Output is correct |
33 |
Correct |
112 ms |
15948 KB |
Output is correct |
34 |
Correct |
61 ms |
15864 KB |
Output is correct |
35 |
Correct |
90 ms |
16012 KB |
Output is correct |
36 |
Correct |
87 ms |
15960 KB |
Output is correct |
37 |
Correct |
85 ms |
15936 KB |
Output is correct |
38 |
Correct |
89 ms |
15944 KB |
Output is correct |
39 |
Correct |
90 ms |
16020 KB |
Output is correct |
40 |
Correct |
90 ms |
15964 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
8532 KB |
Output is correct |
2 |
Correct |
28 ms |
8532 KB |
Output is correct |
3 |
Correct |
26 ms |
8532 KB |
Output is correct |
4 |
Correct |
25 ms |
8532 KB |
Output is correct |
5 |
Correct |
26 ms |
8544 KB |
Output is correct |
6 |
Correct |
25 ms |
8532 KB |
Output is correct |
7 |
Correct |
25 ms |
8528 KB |
Output is correct |
8 |
Correct |
25 ms |
8532 KB |
Output is correct |
9 |
Correct |
25 ms |
8532 KB |
Output is correct |
10 |
Correct |
25 ms |
8532 KB |
Output is correct |
11 |
Correct |
255 ms |
23228 KB |
Output is correct |
12 |
Correct |
235 ms |
22916 KB |
Output is correct |
13 |
Correct |
319 ms |
22128 KB |
Output is correct |
14 |
Correct |
322 ms |
22276 KB |
Output is correct |
15 |
Correct |
284 ms |
23164 KB |
Output is correct |
16 |
Correct |
395 ms |
22360 KB |
Output is correct |
17 |
Correct |
351 ms |
22396 KB |
Output is correct |
18 |
Correct |
178 ms |
24220 KB |
Output is correct |
19 |
Correct |
244 ms |
21212 KB |
Output is correct |
20 |
Correct |
251 ms |
22860 KB |
Output is correct |
21 |
Correct |
273 ms |
26288 KB |
Output is correct |
22 |
Correct |
329 ms |
26420 KB |
Output is correct |
23 |
Correct |
393 ms |
25404 KB |
Output is correct |
24 |
Correct |
428 ms |
25220 KB |
Output is correct |
25 |
Correct |
325 ms |
27252 KB |
Output is correct |
26 |
Correct |
436 ms |
25756 KB |
Output is correct |
27 |
Correct |
417 ms |
25720 KB |
Output is correct |
28 |
Correct |
211 ms |
28264 KB |
Output is correct |
29 |
Correct |
284 ms |
24224 KB |
Output is correct |
30 |
Correct |
313 ms |
26388 KB |
Output is correct |
31 |
Correct |
412 ms |
26264 KB |
Output is correct |
32 |
Correct |
429 ms |
26320 KB |
Output is correct |
33 |
Correct |
402 ms |
25056 KB |
Output is correct |
34 |
Correct |
450 ms |
25232 KB |
Output is correct |
35 |
Correct |
440 ms |
25716 KB |
Output is correct |
36 |
Correct |
221 ms |
24224 KB |
Output is correct |
37 |
Correct |
283 ms |
26300 KB |
Output is correct |
38 |
Correct |
330 ms |
24232 KB |
Output is correct |
39 |
Correct |
422 ms |
25448 KB |
Output is correct |
40 |
Correct |
463 ms |
25200 KB |
Output is correct |
41 |
Correct |
81 ms |
16064 KB |
Output is correct |
42 |
Correct |
86 ms |
16076 KB |
Output is correct |
43 |
Correct |
92 ms |
15980 KB |
Output is correct |
44 |
Correct |
102 ms |
15952 KB |
Output is correct |
45 |
Correct |
71 ms |
16008 KB |
Output is correct |
46 |
Correct |
110 ms |
16064 KB |
Output is correct |
47 |
Correct |
96 ms |
15936 KB |
Output is correct |
48 |
Correct |
59 ms |
16192 KB |
Output is correct |
49 |
Correct |
66 ms |
15900 KB |
Output is correct |
50 |
Correct |
88 ms |
16068 KB |
Output is correct |
51 |
Correct |
80 ms |
16024 KB |
Output is correct |
52 |
Correct |
106 ms |
15944 KB |
Output is correct |
53 |
Correct |
77 ms |
15980 KB |
Output is correct |
54 |
Correct |
122 ms |
15960 KB |
Output is correct |
55 |
Correct |
103 ms |
15972 KB |
Output is correct |
56 |
Correct |
57 ms |
15852 KB |
Output is correct |
57 |
Correct |
65 ms |
16064 KB |
Output is correct |
58 |
Correct |
66 ms |
15848 KB |
Output is correct |
59 |
Correct |
111 ms |
15932 KB |
Output is correct |
60 |
Correct |
114 ms |
15964 KB |
Output is correct |
61 |
Correct |
77 ms |
15936 KB |
Output is correct |
62 |
Correct |
118 ms |
15980 KB |
Output is correct |
63 |
Correct |
112 ms |
15948 KB |
Output is correct |
64 |
Correct |
61 ms |
15864 KB |
Output is correct |
65 |
Correct |
90 ms |
16012 KB |
Output is correct |
66 |
Correct |
87 ms |
15960 KB |
Output is correct |
67 |
Correct |
85 ms |
15936 KB |
Output is correct |
68 |
Correct |
89 ms |
15944 KB |
Output is correct |
69 |
Correct |
90 ms |
16020 KB |
Output is correct |
70 |
Correct |
90 ms |
15964 KB |
Output is correct |
71 |
Correct |
466 ms |
36128 KB |
Output is correct |
72 |
Correct |
553 ms |
36380 KB |
Output is correct |
73 |
Correct |
764 ms |
35280 KB |
Output is correct |
74 |
Correct |
1177 ms |
35648 KB |
Output is correct |
75 |
Correct |
507 ms |
37644 KB |
Output is correct |
76 |
Correct |
1320 ms |
36020 KB |
Output is correct |
77 |
Correct |
1078 ms |
35880 KB |
Output is correct |
78 |
Correct |
257 ms |
39712 KB |
Output is correct |
79 |
Correct |
413 ms |
33660 KB |
Output is correct |
80 |
Correct |
436 ms |
36852 KB |
Output is correct |
81 |
Correct |
680 ms |
36812 KB |
Output is correct |
82 |
Correct |
1216 ms |
35624 KB |
Output is correct |
83 |
Correct |
493 ms |
34868 KB |
Output is correct |
84 |
Correct |
1377 ms |
35776 KB |
Output is correct |
85 |
Correct |
1044 ms |
35856 KB |
Output is correct |
86 |
Correct |
256 ms |
33888 KB |
Output is correct |
87 |
Correct |
516 ms |
37012 KB |
Output is correct |
88 |
Correct |
480 ms |
34312 KB |
Output is correct |
89 |
Correct |
835 ms |
36220 KB |
Output is correct |
90 |
Correct |
1254 ms |
36696 KB |
Output is correct |
91 |
Correct |
683 ms |
36096 KB |
Output is correct |
92 |
Correct |
1191 ms |
37316 KB |
Output is correct |
93 |
Correct |
1040 ms |
37128 KB |
Output is correct |
94 |
Correct |
241 ms |
34908 KB |
Output is correct |
95 |
Correct |
865 ms |
37196 KB |
Output is correct |
96 |
Correct |
860 ms |
37136 KB |
Output is correct |
97 |
Correct |
875 ms |
37084 KB |
Output is correct |
98 |
Correct |
852 ms |
37088 KB |
Output is correct |
99 |
Correct |
889 ms |
37176 KB |
Output is correct |
100 |
Correct |
887 ms |
37140 KB |
Output is correct |