#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
int n,q; cin >> n >> q;
string s; cin >> s;
int B = max(n/2,1);
amin(B,9);
vector<int> pow3(n+5);
pow3[0] = 1;
rep1(i,n) pow3[i] = pow3[i-1]*3;
vector<pii> queries(q);
rep(id,q){
string t; cin >> t;
int first_t = 0, last_t = 0;
rep(i,sz(t)){
ll x = 0;
if(t[i] == '0') x = 0;
if(t[i] == '1') x = 1;
if(t[i] == '?') x = 2;
if(i < B) first_t = first_t*3+x;
else last_t = last_t*3+x;
}
queries[id] = {first_t,last_t};
}
vector<int> maskf(1<<(n-B));
rep(i,1<<(n-B)){
int mask = 0;
rep(bit,n-B){
int b = 0;
if(i&(1<<bit)) b = 1;
mask += pow3[bit]*b;
}
maskf[i] = mask;
}
vector<int> lsqf(pow3[n-B],-1);
rep(i,pow3[n-B]){
int x = i;
int pos = 0;
while(x){
int b = x%3;
x /= 3;
if(b == 2){
lsqf[i] = pos;
break;
}
pos++;
}
}
vector<int> ans(q);
vector<int> dp(pow3[n-B]);
vector<bool> ok(pow3[B]);
rep(mask1,1<<B){
fill(all(dp),0);
rep(i,1<<n){
int firstB = i>>(n-B);
int lastB = i^(firstB<<(n-B));
if(firstB != mask1) conts;
dp[maskf[lastB]] += s[i]-'0';
}
rep(mask2,pow3[n-B]){
int lsq = lsqf[mask2];
if(lsq == -1) conts;
rep(x,2){
int mask3 = mask2-pow3[lsq]*2+pow3[lsq]*x;
dp[mask2] += dp[mask3];
}
}
rep(mask2,pow3[B]){
ok[mask2] = 1;
int mask2_copy = mask2;
rev(b,B-1,0){
int b1 = mask2_copy%3;
mask2_copy /= 3;
int b2 = 0;
if(mask1&(1<<(B-b-1))) b2 = 1;
if(b1 != 2 and b1 != b2){
ok[mask2] = 0;
break;
}
}
}
rep(id,q){
ans[id] += ok[queries[id].ff]*dp[queries[id].ss];
}
}
rep(i,q) cout << ans[i] << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
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 |
344 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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 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 |
344 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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
210 ms |
16212 KB |
Output is correct |
12 |
Correct |
173 ms |
15696 KB |
Output is correct |
13 |
Correct |
174 ms |
14924 KB |
Output is correct |
14 |
Correct |
188 ms |
15184 KB |
Output is correct |
15 |
Correct |
168 ms |
15972 KB |
Output is correct |
16 |
Correct |
205 ms |
15204 KB |
Output is correct |
17 |
Correct |
183 ms |
15204 KB |
Output is correct |
18 |
Correct |
160 ms |
17000 KB |
Output is correct |
19 |
Correct |
176 ms |
14160 KB |
Output is correct |
20 |
Correct |
200 ms |
15696 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 |
344 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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
210 ms |
16212 KB |
Output is correct |
12 |
Correct |
173 ms |
15696 KB |
Output is correct |
13 |
Correct |
174 ms |
14924 KB |
Output is correct |
14 |
Correct |
188 ms |
15184 KB |
Output is correct |
15 |
Correct |
168 ms |
15972 KB |
Output is correct |
16 |
Correct |
205 ms |
15204 KB |
Output is correct |
17 |
Correct |
183 ms |
15204 KB |
Output is correct |
18 |
Correct |
160 ms |
17000 KB |
Output is correct |
19 |
Correct |
176 ms |
14160 KB |
Output is correct |
20 |
Correct |
200 ms |
15696 KB |
Output is correct |
21 |
Correct |
268 ms |
16212 KB |
Output is correct |
22 |
Correct |
198 ms |
16208 KB |
Output is correct |
23 |
Correct |
312 ms |
15228 KB |
Output is correct |
24 |
Correct |
259 ms |
15224 KB |
Output is correct |
25 |
Correct |
227 ms |
17252 KB |
Output is correct |
26 |
Correct |
237 ms |
15700 KB |
Output is correct |
27 |
Correct |
247 ms |
15476 KB |
Output is correct |
28 |
Correct |
208 ms |
18100 KB |
Output is correct |
29 |
Correct |
265 ms |
14180 KB |
Output is correct |
30 |
Correct |
256 ms |
16224 KB |
Output is correct |
31 |
Correct |
227 ms |
16240 KB |
Output is correct |
32 |
Correct |
264 ms |
16212 KB |
Output is correct |
33 |
Correct |
230 ms |
14952 KB |
Output is correct |
34 |
Correct |
230 ms |
15204 KB |
Output is correct |
35 |
Correct |
244 ms |
15480 KB |
Output is correct |
36 |
Correct |
315 ms |
14048 KB |
Output is correct |
37 |
Correct |
215 ms |
16212 KB |
Output is correct |
38 |
Correct |
237 ms |
14164 KB |
Output is correct |
39 |
Correct |
250 ms |
15220 KB |
Output is correct |
40 |
Correct |
269 ms |
15224 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 |
344 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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
496 ms |
3480 KB |
Output is correct |
12 |
Correct |
506 ms |
3564 KB |
Output is correct |
13 |
Correct |
517 ms |
3456 KB |
Output is correct |
14 |
Correct |
515 ms |
3456 KB |
Output is correct |
15 |
Correct |
569 ms |
3572 KB |
Output is correct |
16 |
Correct |
690 ms |
3460 KB |
Output is correct |
17 |
Correct |
558 ms |
3472 KB |
Output is correct |
18 |
Correct |
510 ms |
3716 KB |
Output is correct |
19 |
Correct |
502 ms |
3464 KB |
Output is correct |
20 |
Correct |
514 ms |
3476 KB |
Output is correct |
21 |
Correct |
546 ms |
3568 KB |
Output is correct |
22 |
Correct |
568 ms |
3460 KB |
Output is correct |
23 |
Correct |
536 ms |
3456 KB |
Output is correct |
24 |
Correct |
542 ms |
3460 KB |
Output is correct |
25 |
Correct |
519 ms |
3460 KB |
Output is correct |
26 |
Correct |
511 ms |
3328 KB |
Output is correct |
27 |
Correct |
497 ms |
3572 KB |
Output is correct |
28 |
Correct |
508 ms |
3476 KB |
Output is correct |
29 |
Correct |
519 ms |
3456 KB |
Output is correct |
30 |
Correct |
574 ms |
3476 KB |
Output is correct |
31 |
Correct |
541 ms |
3472 KB |
Output is correct |
32 |
Correct |
524 ms |
3568 KB |
Output is correct |
33 |
Correct |
571 ms |
3428 KB |
Output is correct |
34 |
Correct |
508 ms |
3328 KB |
Output is correct |
35 |
Correct |
538 ms |
3460 KB |
Output is correct |
36 |
Correct |
504 ms |
3472 KB |
Output is correct |
37 |
Correct |
546 ms |
3572 KB |
Output is correct |
38 |
Correct |
600 ms |
3580 KB |
Output is correct |
39 |
Correct |
521 ms |
3572 KB |
Output is correct |
40 |
Correct |
606 ms |
3568 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 |
344 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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
210 ms |
16212 KB |
Output is correct |
12 |
Correct |
173 ms |
15696 KB |
Output is correct |
13 |
Correct |
174 ms |
14924 KB |
Output is correct |
14 |
Correct |
188 ms |
15184 KB |
Output is correct |
15 |
Correct |
168 ms |
15972 KB |
Output is correct |
16 |
Correct |
205 ms |
15204 KB |
Output is correct |
17 |
Correct |
183 ms |
15204 KB |
Output is correct |
18 |
Correct |
160 ms |
17000 KB |
Output is correct |
19 |
Correct |
176 ms |
14160 KB |
Output is correct |
20 |
Correct |
200 ms |
15696 KB |
Output is correct |
21 |
Correct |
268 ms |
16212 KB |
Output is correct |
22 |
Correct |
198 ms |
16208 KB |
Output is correct |
23 |
Correct |
312 ms |
15228 KB |
Output is correct |
24 |
Correct |
259 ms |
15224 KB |
Output is correct |
25 |
Correct |
227 ms |
17252 KB |
Output is correct |
26 |
Correct |
237 ms |
15700 KB |
Output is correct |
27 |
Correct |
247 ms |
15476 KB |
Output is correct |
28 |
Correct |
208 ms |
18100 KB |
Output is correct |
29 |
Correct |
265 ms |
14180 KB |
Output is correct |
30 |
Correct |
256 ms |
16224 KB |
Output is correct |
31 |
Correct |
227 ms |
16240 KB |
Output is correct |
32 |
Correct |
264 ms |
16212 KB |
Output is correct |
33 |
Correct |
230 ms |
14952 KB |
Output is correct |
34 |
Correct |
230 ms |
15204 KB |
Output is correct |
35 |
Correct |
244 ms |
15480 KB |
Output is correct |
36 |
Correct |
315 ms |
14048 KB |
Output is correct |
37 |
Correct |
215 ms |
16212 KB |
Output is correct |
38 |
Correct |
237 ms |
14164 KB |
Output is correct |
39 |
Correct |
250 ms |
15220 KB |
Output is correct |
40 |
Correct |
269 ms |
15224 KB |
Output is correct |
41 |
Correct |
496 ms |
3480 KB |
Output is correct |
42 |
Correct |
506 ms |
3564 KB |
Output is correct |
43 |
Correct |
517 ms |
3456 KB |
Output is correct |
44 |
Correct |
515 ms |
3456 KB |
Output is correct |
45 |
Correct |
569 ms |
3572 KB |
Output is correct |
46 |
Correct |
690 ms |
3460 KB |
Output is correct |
47 |
Correct |
558 ms |
3472 KB |
Output is correct |
48 |
Correct |
510 ms |
3716 KB |
Output is correct |
49 |
Correct |
502 ms |
3464 KB |
Output is correct |
50 |
Correct |
514 ms |
3476 KB |
Output is correct |
51 |
Correct |
546 ms |
3568 KB |
Output is correct |
52 |
Correct |
568 ms |
3460 KB |
Output is correct |
53 |
Correct |
536 ms |
3456 KB |
Output is correct |
54 |
Correct |
542 ms |
3460 KB |
Output is correct |
55 |
Correct |
519 ms |
3460 KB |
Output is correct |
56 |
Correct |
511 ms |
3328 KB |
Output is correct |
57 |
Correct |
497 ms |
3572 KB |
Output is correct |
58 |
Correct |
508 ms |
3476 KB |
Output is correct |
59 |
Correct |
519 ms |
3456 KB |
Output is correct |
60 |
Correct |
574 ms |
3476 KB |
Output is correct |
61 |
Correct |
541 ms |
3472 KB |
Output is correct |
62 |
Correct |
524 ms |
3568 KB |
Output is correct |
63 |
Correct |
571 ms |
3428 KB |
Output is correct |
64 |
Correct |
508 ms |
3328 KB |
Output is correct |
65 |
Correct |
538 ms |
3460 KB |
Output is correct |
66 |
Correct |
504 ms |
3472 KB |
Output is correct |
67 |
Correct |
546 ms |
3572 KB |
Output is correct |
68 |
Correct |
600 ms |
3580 KB |
Output is correct |
69 |
Correct |
521 ms |
3572 KB |
Output is correct |
70 |
Correct |
606 ms |
3568 KB |
Output is correct |
71 |
Correct |
1392 ms |
19484 KB |
Output is correct |
72 |
Correct |
1359 ms |
19740 KB |
Output is correct |
73 |
Correct |
1527 ms |
18204 KB |
Output is correct |
74 |
Correct |
1624 ms |
18456 KB |
Output is correct |
75 |
Correct |
1428 ms |
20516 KB |
Output is correct |
76 |
Correct |
1671 ms |
18716 KB |
Output is correct |
77 |
Correct |
1753 ms |
18644 KB |
Output is correct |
78 |
Correct |
1334 ms |
22500 KB |
Output is correct |
79 |
Correct |
1369 ms |
16596 KB |
Output is correct |
80 |
Correct |
1352 ms |
19700 KB |
Output is correct |
81 |
Correct |
1595 ms |
19432 KB |
Output is correct |
82 |
Correct |
1637 ms |
18420 KB |
Output is correct |
83 |
Correct |
1569 ms |
17692 KB |
Output is correct |
84 |
Correct |
1648 ms |
18400 KB |
Output is correct |
85 |
Correct |
1630 ms |
18716 KB |
Output is correct |
86 |
Correct |
1222 ms |
16624 KB |
Output is correct |
87 |
Correct |
1255 ms |
19444 KB |
Output is correct |
88 |
Correct |
1300 ms |
16612 KB |
Output is correct |
89 |
Correct |
1501 ms |
18164 KB |
Output is correct |
90 |
Correct |
1593 ms |
18408 KB |
Output is correct |
91 |
Correct |
1376 ms |
17668 KB |
Output is correct |
92 |
Correct |
1588 ms |
18908 KB |
Output is correct |
93 |
Correct |
1569 ms |
18672 KB |
Output is correct |
94 |
Correct |
1226 ms |
16416 KB |
Output is correct |
95 |
Correct |
1606 ms |
18668 KB |
Output is correct |
96 |
Correct |
1536 ms |
18676 KB |
Output is correct |
97 |
Correct |
1529 ms |
18720 KB |
Output is correct |
98 |
Correct |
1520 ms |
18676 KB |
Output is correct |
99 |
Correct |
1509 ms |
18724 KB |
Output is correct |
100 |
Correct |
1508 ms |
18672 KB |
Output is correct |