#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int N = (1<<21);
const int SQ = 7;
int n, l, q;
int a[N];
int nxt1[N], nxt2[N];
int tot[N], ans[N];
string s;
int query0[N], query1[N];
int lst[N];
int stringToInt(string s) {
int res = 0;
RE(i,20-SQ) {
res *= 3;
if(s[i] == '0') res += 0;
if(s[i] == '1') res += 1;
if(s[i] == '?') res += 2;
}
return res;
}
string intToString(int x) {
string res;
RE(_,20-SQ) {
if((x%3) == 0) res += '0';
if((x%3) == 1) res += '1';
if((x%3) == 2) res += '?';
x /= 3;
}
reverse(all(res));
return res;
}
void program() {
// pre calculations
int ways3 = 1;
RE(_,20-SQ) ways3 *= 3;
RE(i,ways3) {
string t = intToString(i);
nxt1[i] = -1, nxt2[i] = -1;
RE(j,20-SQ) if(t[j] == '?') {
t[j] = '0';
nxt1[i] = stringToInt(t);
t[j] = '1';
nxt2[i] = stringToInt(t);
break;
}
if(nxt1[i] == -1) {
nxt1[i] = 0;
RE(j,20-SQ) if(t[19-SQ-j] == '1') nxt1[i] |= (1<<j);
}
}
// input
IN(l,q,s); n=(1<<l);
RE(i,n) a[i] = s[i]-'0';
string u; u.assign(20-l,'0');
RE(i,q) {
string t; IN(t);
t = u + t;
RE(j,SQ) if(t[SQ-1-j] == '0') query0[i] |= (1<<j);
RE(j,SQ) if(t[SQ-1-j] == '1') query1[i] |= (1<<j);
lst[i] = stringToInt(t.substr(SQ,20-SQ));
}
RE(i,(1<<SQ)) {
int bm = (i<<(20-SQ));
RE(j,ways3) {
if(nxt2[j] == -1) {
tot[j] = a[bm|nxt1[j]];
} else {
tot[j] = tot[nxt1[j]] + tot[nxt2[j]];
}
}
RE(j,q)
if((query0[j]&i) == 0 && (query1[j]&(~i)) == 0)
ans[j] += tot[lst[j]];
}
RE(i,q) OUTL(ans[i]);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
19224 KB |
Output is correct |
2 |
Correct |
565 ms |
19092 KB |
Output is correct |
3 |
Correct |
574 ms |
19224 KB |
Output is correct |
4 |
Correct |
596 ms |
19236 KB |
Output is correct |
5 |
Correct |
566 ms |
19008 KB |
Output is correct |
6 |
Correct |
596 ms |
19112 KB |
Output is correct |
7 |
Correct |
615 ms |
19204 KB |
Output is correct |
8 |
Correct |
564 ms |
19120 KB |
Output is correct |
9 |
Correct |
583 ms |
19012 KB |
Output is correct |
10 |
Correct |
576 ms |
19220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
19224 KB |
Output is correct |
2 |
Correct |
565 ms |
19092 KB |
Output is correct |
3 |
Correct |
574 ms |
19224 KB |
Output is correct |
4 |
Correct |
596 ms |
19236 KB |
Output is correct |
5 |
Correct |
566 ms |
19008 KB |
Output is correct |
6 |
Correct |
596 ms |
19112 KB |
Output is correct |
7 |
Correct |
615 ms |
19204 KB |
Output is correct |
8 |
Correct |
564 ms |
19120 KB |
Output is correct |
9 |
Correct |
583 ms |
19012 KB |
Output is correct |
10 |
Correct |
576 ms |
19220 KB |
Output is correct |
11 |
Correct |
1028 ms |
35336 KB |
Output is correct |
12 |
Correct |
981 ms |
35064 KB |
Output is correct |
13 |
Correct |
993 ms |
34372 KB |
Output is correct |
14 |
Correct |
994 ms |
35308 KB |
Output is correct |
15 |
Correct |
997 ms |
36244 KB |
Output is correct |
16 |
Correct |
1016 ms |
35380 KB |
Output is correct |
17 |
Correct |
1006 ms |
35336 KB |
Output is correct |
18 |
Correct |
984 ms |
37272 KB |
Output is correct |
19 |
Correct |
1029 ms |
34236 KB |
Output is correct |
20 |
Correct |
1028 ms |
35996 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
19224 KB |
Output is correct |
2 |
Correct |
565 ms |
19092 KB |
Output is correct |
3 |
Correct |
574 ms |
19224 KB |
Output is correct |
4 |
Correct |
596 ms |
19236 KB |
Output is correct |
5 |
Correct |
566 ms |
19008 KB |
Output is correct |
6 |
Correct |
596 ms |
19112 KB |
Output is correct |
7 |
Correct |
615 ms |
19204 KB |
Output is correct |
8 |
Correct |
564 ms |
19120 KB |
Output is correct |
9 |
Correct |
583 ms |
19012 KB |
Output is correct |
10 |
Correct |
576 ms |
19220 KB |
Output is correct |
11 |
Correct |
1028 ms |
35336 KB |
Output is correct |
12 |
Correct |
981 ms |
35064 KB |
Output is correct |
13 |
Correct |
993 ms |
34372 KB |
Output is correct |
14 |
Correct |
994 ms |
35308 KB |
Output is correct |
15 |
Correct |
997 ms |
36244 KB |
Output is correct |
16 |
Correct |
1016 ms |
35380 KB |
Output is correct |
17 |
Correct |
1006 ms |
35336 KB |
Output is correct |
18 |
Correct |
984 ms |
37272 KB |
Output is correct |
19 |
Correct |
1029 ms |
34236 KB |
Output is correct |
20 |
Correct |
1028 ms |
35996 KB |
Output is correct |
21 |
Correct |
1030 ms |
36296 KB |
Output is correct |
22 |
Correct |
987 ms |
36444 KB |
Output is correct |
23 |
Correct |
1016 ms |
35548 KB |
Output is correct |
24 |
Correct |
1016 ms |
35296 KB |
Output is correct |
25 |
Correct |
1010 ms |
37196 KB |
Output is correct |
26 |
Correct |
1036 ms |
35636 KB |
Output is correct |
27 |
Correct |
1040 ms |
35600 KB |
Output is correct |
28 |
Correct |
992 ms |
38084 KB |
Output is correct |
29 |
Correct |
1018 ms |
33840 KB |
Output is correct |
30 |
Correct |
1042 ms |
36064 KB |
Output is correct |
31 |
Correct |
1008 ms |
35944 KB |
Output is correct |
32 |
Correct |
1032 ms |
35872 KB |
Output is correct |
33 |
Correct |
1024 ms |
34828 KB |
Output is correct |
34 |
Correct |
1026 ms |
34648 KB |
Output is correct |
35 |
Correct |
1045 ms |
35168 KB |
Output is correct |
36 |
Correct |
980 ms |
33756 KB |
Output is correct |
37 |
Correct |
986 ms |
35704 KB |
Output is correct |
38 |
Correct |
1048 ms |
33732 KB |
Output is correct |
39 |
Correct |
1034 ms |
34896 KB |
Output is correct |
40 |
Correct |
1024 ms |
34724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
19224 KB |
Output is correct |
2 |
Correct |
565 ms |
19092 KB |
Output is correct |
3 |
Correct |
574 ms |
19224 KB |
Output is correct |
4 |
Correct |
596 ms |
19236 KB |
Output is correct |
5 |
Correct |
566 ms |
19008 KB |
Output is correct |
6 |
Correct |
596 ms |
19112 KB |
Output is correct |
7 |
Correct |
615 ms |
19204 KB |
Output is correct |
8 |
Correct |
564 ms |
19120 KB |
Output is correct |
9 |
Correct |
583 ms |
19012 KB |
Output is correct |
10 |
Correct |
576 ms |
19220 KB |
Output is correct |
11 |
Correct |
614 ms |
25232 KB |
Output is correct |
12 |
Correct |
605 ms |
25368 KB |
Output is correct |
13 |
Correct |
615 ms |
25444 KB |
Output is correct |
14 |
Correct |
621 ms |
25404 KB |
Output is correct |
15 |
Correct |
644 ms |
25636 KB |
Output is correct |
16 |
Correct |
620 ms |
25404 KB |
Output is correct |
17 |
Correct |
621 ms |
25404 KB |
Output is correct |
18 |
Correct |
585 ms |
25416 KB |
Output is correct |
19 |
Correct |
605 ms |
25372 KB |
Output is correct |
20 |
Correct |
608 ms |
25316 KB |
Output is correct |
21 |
Correct |
632 ms |
25512 KB |
Output is correct |
22 |
Correct |
639 ms |
25484 KB |
Output is correct |
23 |
Correct |
626 ms |
25472 KB |
Output is correct |
24 |
Correct |
625 ms |
25404 KB |
Output is correct |
25 |
Correct |
621 ms |
25440 KB |
Output is correct |
26 |
Correct |
597 ms |
25252 KB |
Output is correct |
27 |
Correct |
601 ms |
25316 KB |
Output is correct |
28 |
Correct |
629 ms |
25312 KB |
Output is correct |
29 |
Correct |
625 ms |
25444 KB |
Output is correct |
30 |
Correct |
627 ms |
25516 KB |
Output is correct |
31 |
Correct |
602 ms |
25444 KB |
Output is correct |
32 |
Correct |
626 ms |
25408 KB |
Output is correct |
33 |
Correct |
635 ms |
25472 KB |
Output is correct |
34 |
Correct |
590 ms |
25176 KB |
Output is correct |
35 |
Correct |
637 ms |
25532 KB |
Output is correct |
36 |
Correct |
630 ms |
25444 KB |
Output is correct |
37 |
Correct |
630 ms |
25444 KB |
Output is correct |
38 |
Correct |
623 ms |
25440 KB |
Output is correct |
39 |
Correct |
632 ms |
25456 KB |
Output is correct |
40 |
Correct |
643 ms |
25448 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
570 ms |
19224 KB |
Output is correct |
2 |
Correct |
565 ms |
19092 KB |
Output is correct |
3 |
Correct |
574 ms |
19224 KB |
Output is correct |
4 |
Correct |
596 ms |
19236 KB |
Output is correct |
5 |
Correct |
566 ms |
19008 KB |
Output is correct |
6 |
Correct |
596 ms |
19112 KB |
Output is correct |
7 |
Correct |
615 ms |
19204 KB |
Output is correct |
8 |
Correct |
564 ms |
19120 KB |
Output is correct |
9 |
Correct |
583 ms |
19012 KB |
Output is correct |
10 |
Correct |
576 ms |
19220 KB |
Output is correct |
11 |
Correct |
1028 ms |
35336 KB |
Output is correct |
12 |
Correct |
981 ms |
35064 KB |
Output is correct |
13 |
Correct |
993 ms |
34372 KB |
Output is correct |
14 |
Correct |
994 ms |
35308 KB |
Output is correct |
15 |
Correct |
997 ms |
36244 KB |
Output is correct |
16 |
Correct |
1016 ms |
35380 KB |
Output is correct |
17 |
Correct |
1006 ms |
35336 KB |
Output is correct |
18 |
Correct |
984 ms |
37272 KB |
Output is correct |
19 |
Correct |
1029 ms |
34236 KB |
Output is correct |
20 |
Correct |
1028 ms |
35996 KB |
Output is correct |
21 |
Correct |
1030 ms |
36296 KB |
Output is correct |
22 |
Correct |
987 ms |
36444 KB |
Output is correct |
23 |
Correct |
1016 ms |
35548 KB |
Output is correct |
24 |
Correct |
1016 ms |
35296 KB |
Output is correct |
25 |
Correct |
1010 ms |
37196 KB |
Output is correct |
26 |
Correct |
1036 ms |
35636 KB |
Output is correct |
27 |
Correct |
1040 ms |
35600 KB |
Output is correct |
28 |
Correct |
992 ms |
38084 KB |
Output is correct |
29 |
Correct |
1018 ms |
33840 KB |
Output is correct |
30 |
Correct |
1042 ms |
36064 KB |
Output is correct |
31 |
Correct |
1008 ms |
35944 KB |
Output is correct |
32 |
Correct |
1032 ms |
35872 KB |
Output is correct |
33 |
Correct |
1024 ms |
34828 KB |
Output is correct |
34 |
Correct |
1026 ms |
34648 KB |
Output is correct |
35 |
Correct |
1045 ms |
35168 KB |
Output is correct |
36 |
Correct |
980 ms |
33756 KB |
Output is correct |
37 |
Correct |
986 ms |
35704 KB |
Output is correct |
38 |
Correct |
1048 ms |
33732 KB |
Output is correct |
39 |
Correct |
1034 ms |
34896 KB |
Output is correct |
40 |
Correct |
1024 ms |
34724 KB |
Output is correct |
41 |
Correct |
614 ms |
25232 KB |
Output is correct |
42 |
Correct |
605 ms |
25368 KB |
Output is correct |
43 |
Correct |
615 ms |
25444 KB |
Output is correct |
44 |
Correct |
621 ms |
25404 KB |
Output is correct |
45 |
Correct |
644 ms |
25636 KB |
Output is correct |
46 |
Correct |
620 ms |
25404 KB |
Output is correct |
47 |
Correct |
621 ms |
25404 KB |
Output is correct |
48 |
Correct |
585 ms |
25416 KB |
Output is correct |
49 |
Correct |
605 ms |
25372 KB |
Output is correct |
50 |
Correct |
608 ms |
25316 KB |
Output is correct |
51 |
Correct |
632 ms |
25512 KB |
Output is correct |
52 |
Correct |
639 ms |
25484 KB |
Output is correct |
53 |
Correct |
626 ms |
25472 KB |
Output is correct |
54 |
Correct |
625 ms |
25404 KB |
Output is correct |
55 |
Correct |
621 ms |
25440 KB |
Output is correct |
56 |
Correct |
597 ms |
25252 KB |
Output is correct |
57 |
Correct |
601 ms |
25316 KB |
Output is correct |
58 |
Correct |
629 ms |
25312 KB |
Output is correct |
59 |
Correct |
625 ms |
25444 KB |
Output is correct |
60 |
Correct |
627 ms |
25516 KB |
Output is correct |
61 |
Correct |
602 ms |
25444 KB |
Output is correct |
62 |
Correct |
626 ms |
25408 KB |
Output is correct |
63 |
Correct |
635 ms |
25472 KB |
Output is correct |
64 |
Correct |
590 ms |
25176 KB |
Output is correct |
65 |
Correct |
637 ms |
25532 KB |
Output is correct |
66 |
Correct |
630 ms |
25444 KB |
Output is correct |
67 |
Correct |
630 ms |
25444 KB |
Output is correct |
68 |
Correct |
623 ms |
25440 KB |
Output is correct |
69 |
Correct |
632 ms |
25456 KB |
Output is correct |
70 |
Correct |
643 ms |
25448 KB |
Output is correct |
71 |
Correct |
1300 ms |
41096 KB |
Output is correct |
72 |
Correct |
1287 ms |
41188 KB |
Output is correct |
73 |
Correct |
1478 ms |
43636 KB |
Output is correct |
74 |
Correct |
1739 ms |
44036 KB |
Output is correct |
75 |
Correct |
1996 ms |
45948 KB |
Output is correct |
76 |
Correct |
1883 ms |
65536 KB |
Output is correct |
77 |
Correct |
1886 ms |
65536 KB |
Output is correct |
78 |
Correct |
1045 ms |
61764 KB |
Output is correct |
79 |
Correct |
1392 ms |
63504 KB |
Output is correct |
80 |
Correct |
1345 ms |
62924 KB |
Output is correct |
81 |
Execution timed out |
2029 ms |
65536 KB |
Time limit exceeded |
82 |
Halted |
0 ms |
0 KB |
- |