#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<<20);
const int SQ = 8;
int n, l, q;
int a[N];
int nxt1[N], nxt2[N];
int tot[N], ans[N];
string s;
int f[N], m;
int lst[N];
int stringToInt(string s) {
int res = 0;
RE(i,s.size()) {
res *= 3;
if(s[i] == '0') res += 0;
else if(s[i] == '1') res += 1;
else if(s[i] == '?') res += 2;
}
return res;
}
string intToString(int x, int len) {
string res;
RE(_,len) {
if((x%3) == 0) res += '0';
if((x%3) == 1) res += '1';
if((x%3) == 2) res += '?';
x /= 3;
}
reverse(all(res));
return res;
}
vi appliedBM[6561];
vi appliedI[1024];
vi atI[6561];
void program() {
// pre calculations
int ways3 = 1;
m = (1<<(20-SQ));
RE(_,20-SQ) ways3 *= 3;
int x=0, y=m;
RE(i,ways3) {
string t = intToString(i,20-SQ);
int a = 0;
bool hasQ = false;
RE(j,20-SQ) if(t[j] == '?') hasQ = true;
if(hasQ) a = y++;
else a = x++;
f[i] = a;
nxt1[a] = -1, nxt2[a] = -1;
RE(j,20-SQ) if(t[j] == '?') {
t[j] = '0';
nxt1[a] = f[stringToInt(t)];
t[j] = '1';
nxt2[a] = f[stringToInt(t)];
break;
}
if(!hasQ) {
nxt1[a] = 0;
RE(j,20-SQ) if(t[19-SQ-j] == '1') nxt1[a] |= (1<<j);
}
}
// pre calc query
int ways33 = 1;
RE(_,SQ) ways33 *= 3;
RE(i,ways33) {
string t = intToString(i,SQ);
int bm0=0, bm1=0;
RE(j,SQ) if(t[SQ-1-j] == '0') bm0 |= (1<<j);
RE(j,SQ) if(t[SQ-1-j] == '1') bm1 |= (1<<j);
RE(bm,(1<<SQ)) if((bm0&bm) == 0 && (bm1&(~bm)) == 0) appliedBM[i].pb(bm), appliedI[bm].pb(i);
}
// 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;
int x = stringToInt(t.substr(0,SQ));
atI[x].pb(i);
lst[i] = f[stringToInt(t.substr(SQ,20-SQ))];
}
RE(i,(1<<SQ)) {
int bm = (i<<(20-SQ));
RE(j,m) tot[j] = a[bm|nxt1[j]];
REP(j,m,ways3) tot[j] = tot[nxt1[j]] + tot[nxt2[j]];
int ri = ~i;
FOR(x,appliedI[i]) FOR(j,atI[x]) ans[j] += tot[lst[j]];
}
RE(i,q) OUTL(ans[i]);
}
Compilation message
snake_escaping.cpp: In function 'void program()':
snake_escaping.cpp:155:13: warning: unused variable 'ri' [-Wunused-variable]
155 | int ri = ~i;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
9760 KB |
Output is correct |
2 |
Correct |
263 ms |
9684 KB |
Output is correct |
3 |
Correct |
269 ms |
9668 KB |
Output is correct |
4 |
Correct |
265 ms |
9668 KB |
Output is correct |
5 |
Correct |
266 ms |
9668 KB |
Output is correct |
6 |
Correct |
269 ms |
9668 KB |
Output is correct |
7 |
Correct |
264 ms |
9680 KB |
Output is correct |
8 |
Correct |
264 ms |
9672 KB |
Output is correct |
9 |
Correct |
276 ms |
9740 KB |
Output is correct |
10 |
Correct |
268 ms |
9596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
9760 KB |
Output is correct |
2 |
Correct |
263 ms |
9684 KB |
Output is correct |
3 |
Correct |
269 ms |
9668 KB |
Output is correct |
4 |
Correct |
265 ms |
9668 KB |
Output is correct |
5 |
Correct |
266 ms |
9668 KB |
Output is correct |
6 |
Correct |
269 ms |
9668 KB |
Output is correct |
7 |
Correct |
264 ms |
9680 KB |
Output is correct |
8 |
Correct |
264 ms |
9672 KB |
Output is correct |
9 |
Correct |
276 ms |
9740 KB |
Output is correct |
10 |
Correct |
268 ms |
9596 KB |
Output is correct |
11 |
Correct |
597 ms |
25536 KB |
Output is correct |
12 |
Correct |
610 ms |
25288 KB |
Output is correct |
13 |
Correct |
619 ms |
24468 KB |
Output is correct |
14 |
Correct |
619 ms |
24604 KB |
Output is correct |
15 |
Correct |
596 ms |
25476 KB |
Output is correct |
16 |
Correct |
621 ms |
24628 KB |
Output is correct |
17 |
Correct |
628 ms |
24604 KB |
Output is correct |
18 |
Correct |
567 ms |
26540 KB |
Output is correct |
19 |
Correct |
593 ms |
23536 KB |
Output is correct |
20 |
Correct |
611 ms |
25132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
9760 KB |
Output is correct |
2 |
Correct |
263 ms |
9684 KB |
Output is correct |
3 |
Correct |
269 ms |
9668 KB |
Output is correct |
4 |
Correct |
265 ms |
9668 KB |
Output is correct |
5 |
Correct |
266 ms |
9668 KB |
Output is correct |
6 |
Correct |
269 ms |
9668 KB |
Output is correct |
7 |
Correct |
264 ms |
9680 KB |
Output is correct |
8 |
Correct |
264 ms |
9672 KB |
Output is correct |
9 |
Correct |
276 ms |
9740 KB |
Output is correct |
10 |
Correct |
268 ms |
9596 KB |
Output is correct |
11 |
Correct |
597 ms |
25536 KB |
Output is correct |
12 |
Correct |
610 ms |
25288 KB |
Output is correct |
13 |
Correct |
619 ms |
24468 KB |
Output is correct |
14 |
Correct |
619 ms |
24604 KB |
Output is correct |
15 |
Correct |
596 ms |
25476 KB |
Output is correct |
16 |
Correct |
621 ms |
24628 KB |
Output is correct |
17 |
Correct |
628 ms |
24604 KB |
Output is correct |
18 |
Correct |
567 ms |
26540 KB |
Output is correct |
19 |
Correct |
593 ms |
23536 KB |
Output is correct |
20 |
Correct |
611 ms |
25132 KB |
Output is correct |
21 |
Correct |
629 ms |
25756 KB |
Output is correct |
22 |
Correct |
633 ms |
25836 KB |
Output is correct |
23 |
Correct |
674 ms |
24980 KB |
Output is correct |
24 |
Correct |
667 ms |
24868 KB |
Output is correct |
25 |
Correct |
636 ms |
27444 KB |
Output is correct |
26 |
Correct |
683 ms |
25356 KB |
Output is correct |
27 |
Correct |
678 ms |
25200 KB |
Output is correct |
28 |
Correct |
584 ms |
27684 KB |
Output is correct |
29 |
Correct |
614 ms |
23576 KB |
Output is correct |
30 |
Correct |
638 ms |
25944 KB |
Output is correct |
31 |
Correct |
649 ms |
25696 KB |
Output is correct |
32 |
Correct |
668 ms |
25912 KB |
Output is correct |
33 |
Correct |
643 ms |
25568 KB |
Output is correct |
34 |
Correct |
656 ms |
24696 KB |
Output is correct |
35 |
Correct |
675 ms |
24980 KB |
Output is correct |
36 |
Correct |
558 ms |
23476 KB |
Output is correct |
37 |
Correct |
620 ms |
25628 KB |
Output is correct |
38 |
Correct |
612 ms |
23568 KB |
Output is correct |
39 |
Correct |
654 ms |
24796 KB |
Output is correct |
40 |
Correct |
667 ms |
24780 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
9760 KB |
Output is correct |
2 |
Correct |
263 ms |
9684 KB |
Output is correct |
3 |
Correct |
269 ms |
9668 KB |
Output is correct |
4 |
Correct |
265 ms |
9668 KB |
Output is correct |
5 |
Correct |
266 ms |
9668 KB |
Output is correct |
6 |
Correct |
269 ms |
9668 KB |
Output is correct |
7 |
Correct |
264 ms |
9680 KB |
Output is correct |
8 |
Correct |
264 ms |
9672 KB |
Output is correct |
9 |
Correct |
276 ms |
9740 KB |
Output is correct |
10 |
Correct |
268 ms |
9596 KB |
Output is correct |
11 |
Correct |
305 ms |
15756 KB |
Output is correct |
12 |
Correct |
298 ms |
15748 KB |
Output is correct |
13 |
Correct |
301 ms |
15716 KB |
Output is correct |
14 |
Correct |
304 ms |
15744 KB |
Output is correct |
15 |
Correct |
312 ms |
15788 KB |
Output is correct |
16 |
Correct |
306 ms |
15808 KB |
Output is correct |
17 |
Correct |
306 ms |
15796 KB |
Output is correct |
18 |
Correct |
340 ms |
16100 KB |
Output is correct |
19 |
Correct |
291 ms |
15512 KB |
Output is correct |
20 |
Correct |
315 ms |
15716 KB |
Output is correct |
21 |
Correct |
306 ms |
15716 KB |
Output is correct |
22 |
Correct |
312 ms |
15844 KB |
Output is correct |
23 |
Correct |
299 ms |
15704 KB |
Output is correct |
24 |
Correct |
303 ms |
15792 KB |
Output is correct |
25 |
Correct |
312 ms |
15764 KB |
Output is correct |
26 |
Correct |
286 ms |
15672 KB |
Output is correct |
27 |
Correct |
300 ms |
15764 KB |
Output is correct |
28 |
Correct |
290 ms |
15588 KB |
Output is correct |
29 |
Correct |
297 ms |
15724 KB |
Output is correct |
30 |
Correct |
311 ms |
15880 KB |
Output is correct |
31 |
Correct |
295 ms |
15700 KB |
Output is correct |
32 |
Correct |
308 ms |
15844 KB |
Output is correct |
33 |
Correct |
305 ms |
15752 KB |
Output is correct |
34 |
Correct |
288 ms |
15692 KB |
Output is correct |
35 |
Correct |
312 ms |
15784 KB |
Output is correct |
36 |
Correct |
310 ms |
15716 KB |
Output is correct |
37 |
Correct |
316 ms |
15744 KB |
Output is correct |
38 |
Correct |
307 ms |
15712 KB |
Output is correct |
39 |
Correct |
313 ms |
15788 KB |
Output is correct |
40 |
Correct |
308 ms |
15792 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
9760 KB |
Output is correct |
2 |
Correct |
263 ms |
9684 KB |
Output is correct |
3 |
Correct |
269 ms |
9668 KB |
Output is correct |
4 |
Correct |
265 ms |
9668 KB |
Output is correct |
5 |
Correct |
266 ms |
9668 KB |
Output is correct |
6 |
Correct |
269 ms |
9668 KB |
Output is correct |
7 |
Correct |
264 ms |
9680 KB |
Output is correct |
8 |
Correct |
264 ms |
9672 KB |
Output is correct |
9 |
Correct |
276 ms |
9740 KB |
Output is correct |
10 |
Correct |
268 ms |
9596 KB |
Output is correct |
11 |
Correct |
597 ms |
25536 KB |
Output is correct |
12 |
Correct |
610 ms |
25288 KB |
Output is correct |
13 |
Correct |
619 ms |
24468 KB |
Output is correct |
14 |
Correct |
619 ms |
24604 KB |
Output is correct |
15 |
Correct |
596 ms |
25476 KB |
Output is correct |
16 |
Correct |
621 ms |
24628 KB |
Output is correct |
17 |
Correct |
628 ms |
24604 KB |
Output is correct |
18 |
Correct |
567 ms |
26540 KB |
Output is correct |
19 |
Correct |
593 ms |
23536 KB |
Output is correct |
20 |
Correct |
611 ms |
25132 KB |
Output is correct |
21 |
Correct |
629 ms |
25756 KB |
Output is correct |
22 |
Correct |
633 ms |
25836 KB |
Output is correct |
23 |
Correct |
674 ms |
24980 KB |
Output is correct |
24 |
Correct |
667 ms |
24868 KB |
Output is correct |
25 |
Correct |
636 ms |
27444 KB |
Output is correct |
26 |
Correct |
683 ms |
25356 KB |
Output is correct |
27 |
Correct |
678 ms |
25200 KB |
Output is correct |
28 |
Correct |
584 ms |
27684 KB |
Output is correct |
29 |
Correct |
614 ms |
23576 KB |
Output is correct |
30 |
Correct |
638 ms |
25944 KB |
Output is correct |
31 |
Correct |
649 ms |
25696 KB |
Output is correct |
32 |
Correct |
668 ms |
25912 KB |
Output is correct |
33 |
Correct |
643 ms |
25568 KB |
Output is correct |
34 |
Correct |
656 ms |
24696 KB |
Output is correct |
35 |
Correct |
675 ms |
24980 KB |
Output is correct |
36 |
Correct |
558 ms |
23476 KB |
Output is correct |
37 |
Correct |
620 ms |
25628 KB |
Output is correct |
38 |
Correct |
612 ms |
23568 KB |
Output is correct |
39 |
Correct |
654 ms |
24796 KB |
Output is correct |
40 |
Correct |
667 ms |
24780 KB |
Output is correct |
41 |
Correct |
305 ms |
15756 KB |
Output is correct |
42 |
Correct |
298 ms |
15748 KB |
Output is correct |
43 |
Correct |
301 ms |
15716 KB |
Output is correct |
44 |
Correct |
304 ms |
15744 KB |
Output is correct |
45 |
Correct |
312 ms |
15788 KB |
Output is correct |
46 |
Correct |
306 ms |
15808 KB |
Output is correct |
47 |
Correct |
306 ms |
15796 KB |
Output is correct |
48 |
Correct |
340 ms |
16100 KB |
Output is correct |
49 |
Correct |
291 ms |
15512 KB |
Output is correct |
50 |
Correct |
315 ms |
15716 KB |
Output is correct |
51 |
Correct |
306 ms |
15716 KB |
Output is correct |
52 |
Correct |
312 ms |
15844 KB |
Output is correct |
53 |
Correct |
299 ms |
15704 KB |
Output is correct |
54 |
Correct |
303 ms |
15792 KB |
Output is correct |
55 |
Correct |
312 ms |
15764 KB |
Output is correct |
56 |
Correct |
286 ms |
15672 KB |
Output is correct |
57 |
Correct |
300 ms |
15764 KB |
Output is correct |
58 |
Correct |
290 ms |
15588 KB |
Output is correct |
59 |
Correct |
297 ms |
15724 KB |
Output is correct |
60 |
Correct |
311 ms |
15880 KB |
Output is correct |
61 |
Correct |
295 ms |
15700 KB |
Output is correct |
62 |
Correct |
308 ms |
15844 KB |
Output is correct |
63 |
Correct |
305 ms |
15752 KB |
Output is correct |
64 |
Correct |
288 ms |
15692 KB |
Output is correct |
65 |
Correct |
312 ms |
15784 KB |
Output is correct |
66 |
Correct |
310 ms |
15716 KB |
Output is correct |
67 |
Correct |
316 ms |
15744 KB |
Output is correct |
68 |
Correct |
307 ms |
15712 KB |
Output is correct |
69 |
Correct |
313 ms |
15788 KB |
Output is correct |
70 |
Correct |
308 ms |
15792 KB |
Output is correct |
71 |
Correct |
929 ms |
34316 KB |
Output is correct |
72 |
Correct |
961 ms |
32396 KB |
Output is correct |
73 |
Correct |
857 ms |
33600 KB |
Output is correct |
74 |
Correct |
919 ms |
32712 KB |
Output is correct |
75 |
Correct |
1259 ms |
34944 KB |
Output is correct |
76 |
Correct |
962 ms |
33572 KB |
Output is correct |
77 |
Correct |
949 ms |
34420 KB |
Output is correct |
78 |
Correct |
1482 ms |
35740 KB |
Output is correct |
79 |
Correct |
706 ms |
31204 KB |
Output is correct |
80 |
Correct |
956 ms |
32476 KB |
Output is correct |
81 |
Correct |
1051 ms |
35944 KB |
Output is correct |
82 |
Correct |
966 ms |
54216 KB |
Output is correct |
83 |
Correct |
776 ms |
53664 KB |
Output is correct |
84 |
Correct |
968 ms |
54360 KB |
Output is correct |
85 |
Correct |
1012 ms |
55592 KB |
Output is correct |
86 |
Correct |
598 ms |
51124 KB |
Output is correct |
87 |
Correct |
946 ms |
56016 KB |
Output is correct |
88 |
Correct |
717 ms |
50708 KB |
Output is correct |
89 |
Correct |
880 ms |
55156 KB |
Output is correct |
90 |
Correct |
919 ms |
54500 KB |
Output is correct |
91 |
Correct |
812 ms |
53424 KB |
Output is correct |
92 |
Correct |
990 ms |
54656 KB |
Output is correct |
93 |
Correct |
1050 ms |
55812 KB |
Output is correct |
94 |
Correct |
591 ms |
51236 KB |
Output is correct |
95 |
Correct |
1103 ms |
53980 KB |
Output is correct |
96 |
Correct |
1092 ms |
54092 KB |
Output is correct |
97 |
Correct |
1107 ms |
54032 KB |
Output is correct |
98 |
Correct |
1081 ms |
53900 KB |
Output is correct |
99 |
Correct |
1086 ms |
53992 KB |
Output is correct |
100 |
Correct |
1104 ms |
54080 KB |
Output is correct |