#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;
int8_t ok_mem[6561][256];
void solve(int test_case)
{
int n,q; cin >> n >> q;
string s; cin >> s;
int B = max(n/2,1);
amin(B,8);
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> get_mask_mem(1<<(n-B),-2);
auto get_mask = [&](ll x){
if(get_mask_mem[x] != -2) return get_mask_mem[x];
int mask = 0;
rep(bit,n-B){
int b = 0;
if(x&(1<<bit)) b = 1;
mask += pow3[bit]*b;
}
return get_mask_mem[x] = mask;
};
vector<int> get_lsq_mem(pow3[n-B],-2);
auto get_lsq = [&](ll x){
if(get_lsq_mem[x] != -2) return get_lsq_mem[x];
int ox = x;
int pos = 0;
while(x){
int b = x%3;
x /= 3;
if(b == 2) return get_lsq_mem[ox] = pos;
pos++;
}
return get_lsq_mem[ox] = -1;
};
memset(ok_mem,-1,sizeof ok_mem);
auto ok = [&](int mask1, int mask2){
if(ok_mem[mask1][mask2] != -1) return ok_mem[mask1][mask2];
auto omask1 = mask1, omask2 = mask2;
rev(b,B-1,0){
int b1 = 0, b2 = 0;
b1 = mask1%3;
mask1 /= 3;
if(mask2&(1<<(B-b-1))) b2 = 1;
if(b1 == 2 or b1 == b2){
}
else{
return ok_mem[omask1][omask2] = false;
}
}
return ok_mem[omask1][omask2] = true;
};
vector<int> ans(q);
vector<int> dp(pow3[n-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[get_mask(lastB)] += s[i]-'0';
}
rep(mask2,pow3[n-B]){
int lsq = get_lsq(mask2);
if(lsq == -1) conts;
rep(x,2){
int mask3 = mask2-pow3[lsq]*2+pow3[lsq]*x;
dp[mask2] += dp[mask3];
}
}
rep(id,q){
if(ok(queries[id].ff,mask1)){
ans[id] += 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;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1884 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
1884 KB |
Output is correct |
6 |
Correct |
1 ms |
1884 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1884 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
1884 KB |
Output is correct |
6 |
Correct |
1 ms |
1884 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
251 ms |
17772 KB |
Output is correct |
12 |
Correct |
213 ms |
17492 KB |
Output is correct |
13 |
Correct |
206 ms |
16720 KB |
Output is correct |
14 |
Correct |
210 ms |
16720 KB |
Output is correct |
15 |
Correct |
260 ms |
17756 KB |
Output is correct |
16 |
Correct |
235 ms |
16984 KB |
Output is correct |
17 |
Correct |
282 ms |
16976 KB |
Output is correct |
18 |
Correct |
173 ms |
18768 KB |
Output is correct |
19 |
Correct |
188 ms |
15724 KB |
Output is correct |
20 |
Correct |
264 ms |
17492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1884 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
1884 KB |
Output is correct |
6 |
Correct |
1 ms |
1884 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
251 ms |
17772 KB |
Output is correct |
12 |
Correct |
213 ms |
17492 KB |
Output is correct |
13 |
Correct |
206 ms |
16720 KB |
Output is correct |
14 |
Correct |
210 ms |
16720 KB |
Output is correct |
15 |
Correct |
260 ms |
17756 KB |
Output is correct |
16 |
Correct |
235 ms |
16984 KB |
Output is correct |
17 |
Correct |
282 ms |
16976 KB |
Output is correct |
18 |
Correct |
173 ms |
18768 KB |
Output is correct |
19 |
Correct |
188 ms |
15724 KB |
Output is correct |
20 |
Correct |
264 ms |
17492 KB |
Output is correct |
21 |
Correct |
355 ms |
17748 KB |
Output is correct |
22 |
Correct |
323 ms |
18040 KB |
Output is correct |
23 |
Correct |
301 ms |
16980 KB |
Output is correct |
24 |
Correct |
309 ms |
16724 KB |
Output is correct |
25 |
Correct |
414 ms |
18772 KB |
Output is correct |
26 |
Correct |
326 ms |
17300 KB |
Output is correct |
27 |
Correct |
325 ms |
17232 KB |
Output is correct |
28 |
Correct |
250 ms |
19792 KB |
Output is correct |
29 |
Correct |
275 ms |
15700 KB |
Output is correct |
30 |
Correct |
414 ms |
18004 KB |
Output is correct |
31 |
Correct |
339 ms |
17748 KB |
Output is correct |
32 |
Correct |
353 ms |
17748 KB |
Output is correct |
33 |
Correct |
329 ms |
16764 KB |
Output is correct |
34 |
Correct |
330 ms |
16764 KB |
Output is correct |
35 |
Correct |
332 ms |
17280 KB |
Output is correct |
36 |
Correct |
291 ms |
15728 KB |
Output is correct |
37 |
Correct |
283 ms |
17748 KB |
Output is correct |
38 |
Correct |
272 ms |
15724 KB |
Output is correct |
39 |
Correct |
313 ms |
16984 KB |
Output is correct |
40 |
Correct |
304 ms |
16720 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1884 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
1884 KB |
Output is correct |
6 |
Correct |
1 ms |
1884 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
491 ms |
7920 KB |
Output is correct |
12 |
Correct |
484 ms |
7920 KB |
Output is correct |
13 |
Correct |
511 ms |
7920 KB |
Output is correct |
14 |
Correct |
578 ms |
7924 KB |
Output is correct |
15 |
Correct |
538 ms |
8180 KB |
Output is correct |
16 |
Correct |
544 ms |
7920 KB |
Output is correct |
17 |
Correct |
526 ms |
7932 KB |
Output is correct |
18 |
Correct |
494 ms |
8180 KB |
Output is correct |
19 |
Correct |
480 ms |
7880 KB |
Output is correct |
20 |
Correct |
487 ms |
7924 KB |
Output is correct |
21 |
Correct |
527 ms |
7884 KB |
Output is correct |
22 |
Correct |
533 ms |
7884 KB |
Output is correct |
23 |
Correct |
538 ms |
7880 KB |
Output is correct |
24 |
Correct |
537 ms |
7888 KB |
Output is correct |
25 |
Correct |
525 ms |
7924 KB |
Output is correct |
26 |
Correct |
466 ms |
7924 KB |
Output is correct |
27 |
Correct |
479 ms |
7920 KB |
Output is correct |
28 |
Correct |
467 ms |
7920 KB |
Output is correct |
29 |
Correct |
572 ms |
7900 KB |
Output is correct |
30 |
Correct |
530 ms |
7884 KB |
Output is correct |
31 |
Correct |
519 ms |
7920 KB |
Output is correct |
32 |
Correct |
535 ms |
7924 KB |
Output is correct |
33 |
Correct |
560 ms |
7884 KB |
Output is correct |
34 |
Correct |
463 ms |
7924 KB |
Output is correct |
35 |
Correct |
534 ms |
7924 KB |
Output is correct |
36 |
Correct |
549 ms |
7884 KB |
Output is correct |
37 |
Correct |
540 ms |
7884 KB |
Output is correct |
38 |
Correct |
546 ms |
7924 KB |
Output is correct |
39 |
Correct |
558 ms |
7888 KB |
Output is correct |
40 |
Correct |
547 ms |
7924 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1884 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
1884 KB |
Output is correct |
6 |
Correct |
1 ms |
1884 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
251 ms |
17772 KB |
Output is correct |
12 |
Correct |
213 ms |
17492 KB |
Output is correct |
13 |
Correct |
206 ms |
16720 KB |
Output is correct |
14 |
Correct |
210 ms |
16720 KB |
Output is correct |
15 |
Correct |
260 ms |
17756 KB |
Output is correct |
16 |
Correct |
235 ms |
16984 KB |
Output is correct |
17 |
Correct |
282 ms |
16976 KB |
Output is correct |
18 |
Correct |
173 ms |
18768 KB |
Output is correct |
19 |
Correct |
188 ms |
15724 KB |
Output is correct |
20 |
Correct |
264 ms |
17492 KB |
Output is correct |
21 |
Correct |
355 ms |
17748 KB |
Output is correct |
22 |
Correct |
323 ms |
18040 KB |
Output is correct |
23 |
Correct |
301 ms |
16980 KB |
Output is correct |
24 |
Correct |
309 ms |
16724 KB |
Output is correct |
25 |
Correct |
414 ms |
18772 KB |
Output is correct |
26 |
Correct |
326 ms |
17300 KB |
Output is correct |
27 |
Correct |
325 ms |
17232 KB |
Output is correct |
28 |
Correct |
250 ms |
19792 KB |
Output is correct |
29 |
Correct |
275 ms |
15700 KB |
Output is correct |
30 |
Correct |
414 ms |
18004 KB |
Output is correct |
31 |
Correct |
339 ms |
17748 KB |
Output is correct |
32 |
Correct |
353 ms |
17748 KB |
Output is correct |
33 |
Correct |
329 ms |
16764 KB |
Output is correct |
34 |
Correct |
330 ms |
16764 KB |
Output is correct |
35 |
Correct |
332 ms |
17280 KB |
Output is correct |
36 |
Correct |
291 ms |
15728 KB |
Output is correct |
37 |
Correct |
283 ms |
17748 KB |
Output is correct |
38 |
Correct |
272 ms |
15724 KB |
Output is correct |
39 |
Correct |
313 ms |
16984 KB |
Output is correct |
40 |
Correct |
304 ms |
16720 KB |
Output is correct |
41 |
Correct |
491 ms |
7920 KB |
Output is correct |
42 |
Correct |
484 ms |
7920 KB |
Output is correct |
43 |
Correct |
511 ms |
7920 KB |
Output is correct |
44 |
Correct |
578 ms |
7924 KB |
Output is correct |
45 |
Correct |
538 ms |
8180 KB |
Output is correct |
46 |
Correct |
544 ms |
7920 KB |
Output is correct |
47 |
Correct |
526 ms |
7932 KB |
Output is correct |
48 |
Correct |
494 ms |
8180 KB |
Output is correct |
49 |
Correct |
480 ms |
7880 KB |
Output is correct |
50 |
Correct |
487 ms |
7924 KB |
Output is correct |
51 |
Correct |
527 ms |
7884 KB |
Output is correct |
52 |
Correct |
533 ms |
7884 KB |
Output is correct |
53 |
Correct |
538 ms |
7880 KB |
Output is correct |
54 |
Correct |
537 ms |
7888 KB |
Output is correct |
55 |
Correct |
525 ms |
7924 KB |
Output is correct |
56 |
Correct |
466 ms |
7924 KB |
Output is correct |
57 |
Correct |
479 ms |
7920 KB |
Output is correct |
58 |
Correct |
467 ms |
7920 KB |
Output is correct |
59 |
Correct |
572 ms |
7900 KB |
Output is correct |
60 |
Correct |
530 ms |
7884 KB |
Output is correct |
61 |
Correct |
519 ms |
7920 KB |
Output is correct |
62 |
Correct |
535 ms |
7924 KB |
Output is correct |
63 |
Correct |
560 ms |
7884 KB |
Output is correct |
64 |
Correct |
463 ms |
7924 KB |
Output is correct |
65 |
Correct |
534 ms |
7924 KB |
Output is correct |
66 |
Correct |
549 ms |
7884 KB |
Output is correct |
67 |
Correct |
540 ms |
7884 KB |
Output is correct |
68 |
Correct |
546 ms |
7924 KB |
Output is correct |
69 |
Correct |
558 ms |
7888 KB |
Output is correct |
70 |
Correct |
547 ms |
7924 KB |
Output is correct |
71 |
Correct |
1411 ms |
45592 KB |
Output is correct |
72 |
Correct |
1349 ms |
45796 KB |
Output is correct |
73 |
Correct |
1461 ms |
44312 KB |
Output is correct |
74 |
Correct |
1618 ms |
44564 KB |
Output is correct |
75 |
Correct |
1781 ms |
46620 KB |
Output is correct |
76 |
Correct |
1547 ms |
44828 KB |
Output is correct |
77 |
Correct |
1524 ms |
44776 KB |
Output is correct |
78 |
Correct |
1148 ms |
48664 KB |
Output is correct |
79 |
Correct |
1122 ms |
42540 KB |
Output is correct |
80 |
Correct |
1433 ms |
45852 KB |
Output is correct |
81 |
Correct |
1590 ms |
45564 KB |
Output is correct |
82 |
Correct |
1490 ms |
44576 KB |
Output is correct |
83 |
Correct |
1369 ms |
43736 KB |
Output is correct |
84 |
Correct |
1475 ms |
44504 KB |
Output is correct |
85 |
Correct |
1567 ms |
44888 KB |
Output is correct |
86 |
Correct |
1000 ms |
42740 KB |
Output is correct |
87 |
Correct |
1299 ms |
45540 KB |
Output is correct |
88 |
Correct |
1149 ms |
42740 KB |
Output is correct |
89 |
Correct |
1412 ms |
44276 KB |
Output is correct |
90 |
Correct |
1465 ms |
44640 KB |
Output is correct |
91 |
Correct |
1238 ms |
43764 KB |
Output is correct |
92 |
Correct |
1485 ms |
45028 KB |
Output is correct |
93 |
Correct |
1539 ms |
44792 KB |
Output is correct |
94 |
Correct |
993 ms |
42736 KB |
Output is correct |
95 |
Correct |
1544 ms |
44660 KB |
Output is correct |
96 |
Correct |
1548 ms |
44828 KB |
Output is correct |
97 |
Correct |
1606 ms |
44788 KB |
Output is correct |
98 |
Correct |
1637 ms |
44828 KB |
Output is correct |
99 |
Correct |
1653 ms |
44828 KB |
Output is correct |
100 |
Correct |
1568 ms |
44752 KB |
Output is correct |