#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T> using oset =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define ll long long
#define ld long double
#define ar array
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define endl "\n"
const int MOD = 1e9+7;
const int inf = 1e9;
const ll linf = 1e18;
const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// -------------------------------------------------- Main Code --------------------------------------------------
const int N = (1<<20)+5;
int n, q, arr[N], dp[N], dp2[N];
int getAns(string &s) {
int num = 0;
for (int i = 0; i < n; i++) {
if (s[i] == '?') {num = -1; break;}
else num += (1<<(n-i-1))*(s[i]-'0');
}
if (num != -1) {
return arr[num];
}
int ans = 0;
for (int i = 0; i < n; i++) {
if (s[i] == '?') {
s[i] = '1';
ans += getAns(s);
s[i] = '0';
ans += getAns(s);
s[i] = '?';
break;
}
}
return ans;
}
void sol() {
cin >> n >> q;
for (int i = 0; i < (1<<n); i++) {char x; cin >> x; arr[i] = x-'0';}
for (int i = 0; i < (1<<n); i++) dp[i] = arr[i], dp2[i] = arr[i];
for (int i = 0; i < n; i++) {
for (int mask = 0; mask < (1<<n); mask++) {
if (mask&(1<<i)) dp[mask] += dp[mask^(1<<i)];
if ((mask&(1<<i)) == 0) dp2[mask] += dp2[mask^(1<<i)];
}
}
while (q--) {
string s; cin >> s;
int one = 0, zero = 0, question = 0;
for (int i = 0; i < n; i++) {
one += s[i]=='1';
zero += s[i]=='0';
question += s[i]=='?';
}
if (zero <= 6) {
vi temp;
int num = 0;
reverse(all(s));
for (int i = 0; i < n; i++) {
if (s[i] == '0') temp.pb(i);
if (s[i] == '1') num += (1<<i);
}
int ans = 0;
for (int i = 0; i < (1<<temp.size()); i++) {
int tempNum = num, ct = 0;
for (int j = 0; j < temp.size(); j++) {
if (!(i&(1<<j))) {
tempNum ^= (1<<temp[j]);
ct++;
}
}
if (ct%2 != 0) ans -= dp2[tempNum];
else ans += dp2[tempNum];
}
cout << ans << endl;
}
else if (one <= 6) {
vi temp;
int num = 0;
reverse(all(s));
for (int i = 0; i < n; i++) {
if (s[i] == '1') temp.pb(i);
if (s[i] == '1' || s[i] == '?') num += (1<<i);
}
int ans = 0;
for (int i = 0; i < (1<<temp.size()); i++) {
int tempNum = num, ct = 0;
for (int j = 0; j < temp.size(); j++) {
if (i&(1<<j)) {
tempNum ^= (1<<temp[j]);
ct++;
}
}
if (ct%2 != 0) ans -= dp[tempNum];
else ans += dp[tempNum];
}
cout << ans << endl;
}
else {
cout << getAns(s) << endl;
}
}
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t = 1;
// cin >> t;
while (t--) {
sol();
}
return 0;
}
Compilation message
snake_escaping.cpp: In function 'void sol()':
snake_escaping.cpp:97:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
97 | for (int j = 0; j < temp.size(); j++) {
| ~~^~~~~~~~~~~~~
snake_escaping.cpp:121:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
121 | for (int j = 0; j < temp.size(); j++) {
| ~~^~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4580 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4660 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4580 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4660 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
199 ms |
8468 KB |
Output is correct |
12 |
Correct |
473 ms |
8272 KB |
Output is correct |
13 |
Correct |
532 ms |
7508 KB |
Output is correct |
14 |
Correct |
377 ms |
7508 KB |
Output is correct |
15 |
Correct |
273 ms |
8448 KB |
Output is correct |
16 |
Correct |
332 ms |
7504 KB |
Output is correct |
17 |
Correct |
403 ms |
7620 KB |
Output is correct |
18 |
Correct |
153 ms |
9488 KB |
Output is correct |
19 |
Correct |
499 ms |
6508 KB |
Output is correct |
20 |
Correct |
207 ms |
8172 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4580 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4660 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
199 ms |
8468 KB |
Output is correct |
12 |
Correct |
473 ms |
8272 KB |
Output is correct |
13 |
Correct |
532 ms |
7508 KB |
Output is correct |
14 |
Correct |
377 ms |
7508 KB |
Output is correct |
15 |
Correct |
273 ms |
8448 KB |
Output is correct |
16 |
Correct |
332 ms |
7504 KB |
Output is correct |
17 |
Correct |
403 ms |
7620 KB |
Output is correct |
18 |
Correct |
153 ms |
9488 KB |
Output is correct |
19 |
Correct |
499 ms |
6508 KB |
Output is correct |
20 |
Correct |
207 ms |
8172 KB |
Output is correct |
21 |
Correct |
250 ms |
19664 KB |
Output is correct |
22 |
Correct |
463 ms |
19956 KB |
Output is correct |
23 |
Correct |
962 ms |
18772 KB |
Output is correct |
24 |
Correct |
594 ms |
18688 KB |
Output is correct |
25 |
Correct |
334 ms |
20564 KB |
Output is correct |
26 |
Correct |
444 ms |
19240 KB |
Output is correct |
27 |
Correct |
523 ms |
18904 KB |
Output is correct |
28 |
Correct |
197 ms |
21568 KB |
Output is correct |
29 |
Correct |
902 ms |
17664 KB |
Output is correct |
30 |
Correct |
244 ms |
21064 KB |
Output is correct |
31 |
Correct |
443 ms |
21348 KB |
Output is correct |
32 |
Correct |
427 ms |
21328 KB |
Output is correct |
33 |
Correct |
336 ms |
19796 KB |
Output is correct |
34 |
Correct |
550 ms |
20144 KB |
Output is correct |
35 |
Correct |
542 ms |
20352 KB |
Output is correct |
36 |
Correct |
161 ms |
19024 KB |
Output is correct |
37 |
Correct |
221 ms |
21072 KB |
Output is correct |
38 |
Correct |
690 ms |
18988 KB |
Output is correct |
39 |
Correct |
451 ms |
20104 KB |
Output is correct |
40 |
Correct |
414 ms |
20052 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4580 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4660 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
50 ms |
13672 KB |
Output is correct |
12 |
Correct |
48 ms |
14992 KB |
Output is correct |
13 |
Correct |
61 ms |
14792 KB |
Output is correct |
14 |
Correct |
80 ms |
14796 KB |
Output is correct |
15 |
Correct |
66 ms |
14936 KB |
Output is correct |
16 |
Correct |
84 ms |
14960 KB |
Output is correct |
17 |
Correct |
86 ms |
14772 KB |
Output is correct |
18 |
Correct |
39 ms |
15128 KB |
Output is correct |
19 |
Correct |
40 ms |
14780 KB |
Output is correct |
20 |
Correct |
45 ms |
14672 KB |
Output is correct |
21 |
Correct |
60 ms |
14856 KB |
Output is correct |
22 |
Correct |
80 ms |
14952 KB |
Output is correct |
23 |
Correct |
61 ms |
14928 KB |
Output is correct |
24 |
Correct |
111 ms |
14984 KB |
Output is correct |
25 |
Correct |
79 ms |
14928 KB |
Output is correct |
26 |
Correct |
39 ms |
14784 KB |
Output is correct |
27 |
Correct |
45 ms |
14936 KB |
Output is correct |
28 |
Correct |
43 ms |
14712 KB |
Output is correct |
29 |
Correct |
61 ms |
14928 KB |
Output is correct |
30 |
Correct |
181 ms |
14848 KB |
Output is correct |
31 |
Correct |
52 ms |
14932 KB |
Output is correct |
32 |
Correct |
108 ms |
14892 KB |
Output is correct |
33 |
Correct |
78 ms |
14780 KB |
Output is correct |
34 |
Correct |
38 ms |
14676 KB |
Output is correct |
35 |
Correct |
70 ms |
14928 KB |
Output is correct |
36 |
Correct |
70 ms |
14800 KB |
Output is correct |
37 |
Correct |
72 ms |
14832 KB |
Output is correct |
38 |
Correct |
85 ms |
14932 KB |
Output is correct |
39 |
Correct |
68 ms |
14792 KB |
Output is correct |
40 |
Correct |
72 ms |
14788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4580 KB |
Output is correct |
3 |
Correct |
2 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4660 KB |
Output is correct |
7 |
Correct |
1 ms |
4440 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
199 ms |
8468 KB |
Output is correct |
12 |
Correct |
473 ms |
8272 KB |
Output is correct |
13 |
Correct |
532 ms |
7508 KB |
Output is correct |
14 |
Correct |
377 ms |
7508 KB |
Output is correct |
15 |
Correct |
273 ms |
8448 KB |
Output is correct |
16 |
Correct |
332 ms |
7504 KB |
Output is correct |
17 |
Correct |
403 ms |
7620 KB |
Output is correct |
18 |
Correct |
153 ms |
9488 KB |
Output is correct |
19 |
Correct |
499 ms |
6508 KB |
Output is correct |
20 |
Correct |
207 ms |
8172 KB |
Output is correct |
21 |
Correct |
250 ms |
19664 KB |
Output is correct |
22 |
Correct |
463 ms |
19956 KB |
Output is correct |
23 |
Correct |
962 ms |
18772 KB |
Output is correct |
24 |
Correct |
594 ms |
18688 KB |
Output is correct |
25 |
Correct |
334 ms |
20564 KB |
Output is correct |
26 |
Correct |
444 ms |
19240 KB |
Output is correct |
27 |
Correct |
523 ms |
18904 KB |
Output is correct |
28 |
Correct |
197 ms |
21568 KB |
Output is correct |
29 |
Correct |
902 ms |
17664 KB |
Output is correct |
30 |
Correct |
244 ms |
21064 KB |
Output is correct |
31 |
Correct |
443 ms |
21348 KB |
Output is correct |
32 |
Correct |
427 ms |
21328 KB |
Output is correct |
33 |
Correct |
336 ms |
19796 KB |
Output is correct |
34 |
Correct |
550 ms |
20144 KB |
Output is correct |
35 |
Correct |
542 ms |
20352 KB |
Output is correct |
36 |
Correct |
161 ms |
19024 KB |
Output is correct |
37 |
Correct |
221 ms |
21072 KB |
Output is correct |
38 |
Correct |
690 ms |
18988 KB |
Output is correct |
39 |
Correct |
451 ms |
20104 KB |
Output is correct |
40 |
Correct |
414 ms |
20052 KB |
Output is correct |
41 |
Correct |
50 ms |
13672 KB |
Output is correct |
42 |
Correct |
48 ms |
14992 KB |
Output is correct |
43 |
Correct |
61 ms |
14792 KB |
Output is correct |
44 |
Correct |
80 ms |
14796 KB |
Output is correct |
45 |
Correct |
66 ms |
14936 KB |
Output is correct |
46 |
Correct |
84 ms |
14960 KB |
Output is correct |
47 |
Correct |
86 ms |
14772 KB |
Output is correct |
48 |
Correct |
39 ms |
15128 KB |
Output is correct |
49 |
Correct |
40 ms |
14780 KB |
Output is correct |
50 |
Correct |
45 ms |
14672 KB |
Output is correct |
51 |
Correct |
60 ms |
14856 KB |
Output is correct |
52 |
Correct |
80 ms |
14952 KB |
Output is correct |
53 |
Correct |
61 ms |
14928 KB |
Output is correct |
54 |
Correct |
111 ms |
14984 KB |
Output is correct |
55 |
Correct |
79 ms |
14928 KB |
Output is correct |
56 |
Correct |
39 ms |
14784 KB |
Output is correct |
57 |
Correct |
45 ms |
14936 KB |
Output is correct |
58 |
Correct |
43 ms |
14712 KB |
Output is correct |
59 |
Correct |
61 ms |
14928 KB |
Output is correct |
60 |
Correct |
181 ms |
14848 KB |
Output is correct |
61 |
Correct |
52 ms |
14932 KB |
Output is correct |
62 |
Correct |
108 ms |
14892 KB |
Output is correct |
63 |
Correct |
78 ms |
14780 KB |
Output is correct |
64 |
Correct |
38 ms |
14676 KB |
Output is correct |
65 |
Correct |
70 ms |
14928 KB |
Output is correct |
66 |
Correct |
70 ms |
14800 KB |
Output is correct |
67 |
Correct |
72 ms |
14832 KB |
Output is correct |
68 |
Correct |
85 ms |
14932 KB |
Output is correct |
69 |
Correct |
68 ms |
14792 KB |
Output is correct |
70 |
Correct |
72 ms |
14788 KB |
Output is correct |
71 |
Correct |
356 ms |
39284 KB |
Output is correct |
72 |
Correct |
431 ms |
39320 KB |
Output is correct |
73 |
Correct |
736 ms |
37872 KB |
Output is correct |
74 |
Correct |
1118 ms |
38348 KB |
Output is correct |
75 |
Correct |
575 ms |
40312 KB |
Output is correct |
76 |
Correct |
1114 ms |
38652 KB |
Output is correct |
77 |
Correct |
1090 ms |
38548 KB |
Output is correct |
78 |
Correct |
282 ms |
42244 KB |
Output is correct |
79 |
Correct |
235 ms |
36284 KB |
Output is correct |
80 |
Correct |
413 ms |
39360 KB |
Output is correct |
81 |
Correct |
767 ms |
39404 KB |
Output is correct |
82 |
Correct |
1178 ms |
38132 KB |
Output is correct |
83 |
Correct |
572 ms |
37460 KB |
Output is correct |
84 |
Correct |
1722 ms |
38124 KB |
Output is correct |
85 |
Correct |
1210 ms |
38596 KB |
Output is correct |
86 |
Correct |
247 ms |
36180 KB |
Output is correct |
87 |
Correct |
405 ms |
39248 KB |
Output is correct |
88 |
Correct |
306 ms |
36304 KB |
Output is correct |
89 |
Correct |
720 ms |
37988 KB |
Output is correct |
90 |
Execution timed out |
2049 ms |
29836 KB |
Time limit exceeded |
91 |
Halted |
0 ms |
0 KB |
- |