#include <bits/stdc++.h>
// #pragma GCC optimize ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
using namespace std;
typedef long long ll;
typedef pair<int, int> pp;
#define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define pb push_back
#define ss second
#define ff first
void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
void IOS(){
cin.tie(0) -> sync_with_stdio(0);
// #ifndef ONLINE_JUDGE
// freopen("in.in", "r", stdin);
// freopen("out.out", "w", stdout);
// #endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7, maxn = 5e5 + 5, lg = 20, inf = ll(1e18) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll);return k*k%md*(b&1ll?a:1)%md;}
int sml[1<<lg], lrg[1<<lg];
int main(){ IOS();
int n, q; cin >> n >> q;
string s; cin >> s;
rep(i,0,sz(s)) sml[i] = lrg[i] = s[i] - '0';
rep(i,0,n){
rep(j,0,1<<n){
if(j>>i&1){
sml[j] += sml[j^(1<<i)];
}else{
lrg[j] += lrg[j^(1<<i)];
}
}
}
while(q--){
string t; cin >> t;
vector<int> a[3];
rep(i,0,n){
if(t[n-1-i] == '?') a[2].pb(i);
else a[t[n-1-i]-'0'].pb(i);
}
int ans = 0;
if(sz(a[0]) <= n/3){
int vl = 0;
for(char c: t){
vl <<= 1;
if(c == '1') vl |= 1;
}
rep(i,0,1<<sz(a[0])){
int bt = vl;
int ptr = 0;
bool f = false;
for(int p: a[0]){
if(i>>ptr&1) bt ^= 1<<p, f ^= 1;
ptr++;
}
ans += (f?-1:1)*lrg[bt];
}
}else if(sz(a[1]) <= n/3){
int vl = 0;
for(char c: t){
vl <<= 1;
if(c != '0') vl |= 1;
}
rep(i,0,1<<sz(a[1])){
int bt = vl;
int ptr = 0;
bool f = false;
for(int p: a[1]){
if(i>>ptr&1) bt ^= 1<<p, f ^= 1;
ptr++;
}
ans += (f?-1:1)*sml[bt];
}
}else{
int vl = 0;
for(char c: t){
vl <<= 1;
if(c == '1') vl |= 1;
}
rep(i,0,1<<sz(a[2])){
int bt = vl;
int ptr = 0;
for(int p: a[2]){
if(i>>ptr&1) bt ^= 1<<p;
ptr++;
}
ans += s[bt]-'0';
}
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
492 ms |
5736 KB |
Output is correct |
12 |
Correct |
477 ms |
5384 KB |
Output is correct |
13 |
Correct |
536 ms |
4636 KB |
Output is correct |
14 |
Correct |
560 ms |
4784 KB |
Output is correct |
15 |
Correct |
493 ms |
5864 KB |
Output is correct |
16 |
Correct |
532 ms |
4868 KB |
Output is correct |
17 |
Correct |
515 ms |
4880 KB |
Output is correct |
18 |
Correct |
298 ms |
6820 KB |
Output is correct |
19 |
Correct |
458 ms |
3716 KB |
Output is correct |
20 |
Correct |
442 ms |
5344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
492 ms |
5736 KB |
Output is correct |
12 |
Correct |
477 ms |
5384 KB |
Output is correct |
13 |
Correct |
536 ms |
4636 KB |
Output is correct |
14 |
Correct |
560 ms |
4784 KB |
Output is correct |
15 |
Correct |
493 ms |
5864 KB |
Output is correct |
16 |
Correct |
532 ms |
4868 KB |
Output is correct |
17 |
Correct |
515 ms |
4880 KB |
Output is correct |
18 |
Correct |
298 ms |
6820 KB |
Output is correct |
19 |
Correct |
458 ms |
3716 KB |
Output is correct |
20 |
Correct |
442 ms |
5344 KB |
Output is correct |
21 |
Correct |
506 ms |
5724 KB |
Output is correct |
22 |
Correct |
523 ms |
5952 KB |
Output is correct |
23 |
Correct |
622 ms |
4972 KB |
Output is correct |
24 |
Correct |
691 ms |
4864 KB |
Output is correct |
25 |
Correct |
545 ms |
6576 KB |
Output is correct |
26 |
Correct |
655 ms |
4856 KB |
Output is correct |
27 |
Correct |
632 ms |
4768 KB |
Output is correct |
28 |
Correct |
309 ms |
7344 KB |
Output is correct |
29 |
Correct |
496 ms |
3320 KB |
Output is correct |
30 |
Correct |
515 ms |
5452 KB |
Output is correct |
31 |
Correct |
619 ms |
5396 KB |
Output is correct |
32 |
Correct |
661 ms |
5096 KB |
Output is correct |
33 |
Correct |
555 ms |
4036 KB |
Output is correct |
34 |
Correct |
632 ms |
4104 KB |
Output is correct |
35 |
Correct |
632 ms |
4692 KB |
Output is correct |
36 |
Correct |
371 ms |
2860 KB |
Output is correct |
37 |
Correct |
486 ms |
4920 KB |
Output is correct |
38 |
Correct |
495 ms |
2992 KB |
Output is correct |
39 |
Correct |
602 ms |
3916 KB |
Output is correct |
40 |
Correct |
634 ms |
3860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
62 ms |
10708 KB |
Output is correct |
12 |
Correct |
62 ms |
11944 KB |
Output is correct |
13 |
Correct |
81 ms |
11884 KB |
Output is correct |
14 |
Correct |
102 ms |
11888 KB |
Output is correct |
15 |
Correct |
66 ms |
12036 KB |
Output is correct |
16 |
Correct |
101 ms |
11976 KB |
Output is correct |
17 |
Correct |
93 ms |
11884 KB |
Output is correct |
18 |
Correct |
45 ms |
12124 KB |
Output is correct |
19 |
Correct |
56 ms |
11760 KB |
Output is correct |
20 |
Correct |
59 ms |
11948 KB |
Output is correct |
21 |
Correct |
86 ms |
11952 KB |
Output is correct |
22 |
Correct |
98 ms |
11856 KB |
Output is correct |
23 |
Correct |
70 ms |
11848 KB |
Output is correct |
24 |
Correct |
104 ms |
11944 KB |
Output is correct |
25 |
Correct |
92 ms |
11840 KB |
Output is correct |
26 |
Correct |
48 ms |
11820 KB |
Output is correct |
27 |
Correct |
59 ms |
11884 KB |
Output is correct |
28 |
Correct |
60 ms |
11760 KB |
Output is correct |
29 |
Correct |
81 ms |
11896 KB |
Output is correct |
30 |
Correct |
89 ms |
11932 KB |
Output is correct |
31 |
Correct |
71 ms |
11812 KB |
Output is correct |
32 |
Correct |
109 ms |
11884 KB |
Output is correct |
33 |
Correct |
95 ms |
11888 KB |
Output is correct |
34 |
Correct |
48 ms |
11756 KB |
Output is correct |
35 |
Correct |
89 ms |
11872 KB |
Output is correct |
36 |
Correct |
83 ms |
11864 KB |
Output is correct |
37 |
Correct |
84 ms |
11852 KB |
Output is correct |
38 |
Correct |
85 ms |
11848 KB |
Output is correct |
39 |
Correct |
90 ms |
11836 KB |
Output is correct |
40 |
Correct |
96 ms |
11852 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
492 ms |
5736 KB |
Output is correct |
12 |
Correct |
477 ms |
5384 KB |
Output is correct |
13 |
Correct |
536 ms |
4636 KB |
Output is correct |
14 |
Correct |
560 ms |
4784 KB |
Output is correct |
15 |
Correct |
493 ms |
5864 KB |
Output is correct |
16 |
Correct |
532 ms |
4868 KB |
Output is correct |
17 |
Correct |
515 ms |
4880 KB |
Output is correct |
18 |
Correct |
298 ms |
6820 KB |
Output is correct |
19 |
Correct |
458 ms |
3716 KB |
Output is correct |
20 |
Correct |
442 ms |
5344 KB |
Output is correct |
21 |
Correct |
506 ms |
5724 KB |
Output is correct |
22 |
Correct |
523 ms |
5952 KB |
Output is correct |
23 |
Correct |
622 ms |
4972 KB |
Output is correct |
24 |
Correct |
691 ms |
4864 KB |
Output is correct |
25 |
Correct |
545 ms |
6576 KB |
Output is correct |
26 |
Correct |
655 ms |
4856 KB |
Output is correct |
27 |
Correct |
632 ms |
4768 KB |
Output is correct |
28 |
Correct |
309 ms |
7344 KB |
Output is correct |
29 |
Correct |
496 ms |
3320 KB |
Output is correct |
30 |
Correct |
515 ms |
5452 KB |
Output is correct |
31 |
Correct |
619 ms |
5396 KB |
Output is correct |
32 |
Correct |
661 ms |
5096 KB |
Output is correct |
33 |
Correct |
555 ms |
4036 KB |
Output is correct |
34 |
Correct |
632 ms |
4104 KB |
Output is correct |
35 |
Correct |
632 ms |
4692 KB |
Output is correct |
36 |
Correct |
371 ms |
2860 KB |
Output is correct |
37 |
Correct |
486 ms |
4920 KB |
Output is correct |
38 |
Correct |
495 ms |
2992 KB |
Output is correct |
39 |
Correct |
602 ms |
3916 KB |
Output is correct |
40 |
Correct |
634 ms |
3860 KB |
Output is correct |
41 |
Correct |
62 ms |
10708 KB |
Output is correct |
42 |
Correct |
62 ms |
11944 KB |
Output is correct |
43 |
Correct |
81 ms |
11884 KB |
Output is correct |
44 |
Correct |
102 ms |
11888 KB |
Output is correct |
45 |
Correct |
66 ms |
12036 KB |
Output is correct |
46 |
Correct |
101 ms |
11976 KB |
Output is correct |
47 |
Correct |
93 ms |
11884 KB |
Output is correct |
48 |
Correct |
45 ms |
12124 KB |
Output is correct |
49 |
Correct |
56 ms |
11760 KB |
Output is correct |
50 |
Correct |
59 ms |
11948 KB |
Output is correct |
51 |
Correct |
86 ms |
11952 KB |
Output is correct |
52 |
Correct |
98 ms |
11856 KB |
Output is correct |
53 |
Correct |
70 ms |
11848 KB |
Output is correct |
54 |
Correct |
104 ms |
11944 KB |
Output is correct |
55 |
Correct |
92 ms |
11840 KB |
Output is correct |
56 |
Correct |
48 ms |
11820 KB |
Output is correct |
57 |
Correct |
59 ms |
11884 KB |
Output is correct |
58 |
Correct |
60 ms |
11760 KB |
Output is correct |
59 |
Correct |
81 ms |
11896 KB |
Output is correct |
60 |
Correct |
89 ms |
11932 KB |
Output is correct |
61 |
Correct |
71 ms |
11812 KB |
Output is correct |
62 |
Correct |
109 ms |
11884 KB |
Output is correct |
63 |
Correct |
95 ms |
11888 KB |
Output is correct |
64 |
Correct |
48 ms |
11756 KB |
Output is correct |
65 |
Correct |
89 ms |
11872 KB |
Output is correct |
66 |
Correct |
83 ms |
11864 KB |
Output is correct |
67 |
Correct |
84 ms |
11852 KB |
Output is correct |
68 |
Correct |
85 ms |
11848 KB |
Output is correct |
69 |
Correct |
90 ms |
11836 KB |
Output is correct |
70 |
Correct |
96 ms |
11852 KB |
Output is correct |
71 |
Correct |
720 ms |
36196 KB |
Output is correct |
72 |
Correct |
775 ms |
36396 KB |
Output is correct |
73 |
Correct |
1127 ms |
35036 KB |
Output is correct |
74 |
Correct |
1526 ms |
35464 KB |
Output is correct |
75 |
Correct |
852 ms |
37196 KB |
Output is correct |
76 |
Correct |
1500 ms |
35520 KB |
Output is correct |
77 |
Correct |
1437 ms |
35528 KB |
Output is correct |
78 |
Correct |
442 ms |
39264 KB |
Output is correct |
79 |
Correct |
659 ms |
33176 KB |
Output is correct |
80 |
Correct |
759 ms |
36296 KB |
Output is correct |
81 |
Correct |
1077 ms |
36376 KB |
Output is correct |
82 |
Correct |
1398 ms |
35204 KB |
Output is correct |
83 |
Correct |
875 ms |
34464 KB |
Output is correct |
84 |
Correct |
1538 ms |
35304 KB |
Output is correct |
85 |
Correct |
1515 ms |
35460 KB |
Output is correct |
86 |
Correct |
504 ms |
33160 KB |
Output is correct |
87 |
Correct |
712 ms |
36232 KB |
Output is correct |
88 |
Correct |
759 ms |
33364 KB |
Output is correct |
89 |
Correct |
1060 ms |
35052 KB |
Output is correct |
90 |
Correct |
1290 ms |
35256 KB |
Output is correct |
91 |
Correct |
886 ms |
34424 KB |
Output is correct |
92 |
Correct |
1669 ms |
35568 KB |
Output is correct |
93 |
Correct |
1456 ms |
34800 KB |
Output is correct |
94 |
Correct |
498 ms |
33228 KB |
Output is correct |
95 |
Correct |
1197 ms |
35440 KB |
Output is correct |
96 |
Correct |
1192 ms |
35476 KB |
Output is correct |
97 |
Correct |
1206 ms |
35532 KB |
Output is correct |
98 |
Correct |
1217 ms |
35360 KB |
Output is correct |
99 |
Correct |
1207 ms |
35364 KB |
Output is correct |
100 |
Correct |
1224 ms |
35420 KB |
Output is correct |