#include <bits/stdc++.h>
#pragma GCC target ("popcnt")
using namespace std;
#define ll long long
#define y1 zck_is_king
#define pii pair<int, int>
#define ull unsigned ll
#define f first
#define s second
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
#define SQ(x) (x)*(x)
#define MN(a,b) a = min(a,(__typeof__(a))(b))
#define MX(a,b) a = max(a,(__typeof__(a))(b))
#define pb push_back
#define REP(i,n) for (int i = 0; i<n; ++i)
#define RREP(i,n) for (int i = n-1; i>=0; --i)
#define REP1(i,n) for (int i = 1; i<=n; ++i)
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
#ifdef BALBIT
#define IOS()
#define bug(...) fprintf(stderr,"#%d (%s) = ",__LINE__,#__VA_ARGS__),_do(__VA_ARGS__);
template<typename T> void _do(T &&x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T &&x, S &&...y){cerr<<x<<", ";_do(y...);}
#else
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#define endl '\n'
#define bug(...)
#endif
const int iinf = 1e9+10;
const ll inf = 1ll<<60;
const ll mod = 1e9+7 ;
void GG(){cout<<"0\n"; exit(0);}
ll mpow(ll a, ll n, ll mo = mod){ // a^n % mod
ll re=1;
while (n>0){
if (n&1) re = re*a %mo;
a = a*a %mo;
n>>=1;
}
return re;
}
ll inv (ll b, ll mo = mod){
if (b==1) return b;
return (mo-mo/b) * inv(mo%b,mo) % mo;
}
const int maxn = 1e5+5;
int A[1<<20|7], B[1<<20|7], F[1<<20|7];
bool poppar[1<<20|7];
signed main(){
IOS();
int n, q; cin>>n>>q;
REP(i, 1<<n) {
poppar[i] = __builtin_popcount(i) & 1;
}
int flip = (1<<n)-1;
REP(i, 1<<n) {
char c; cin>>c;
F[i] = A[i] = B[i^flip] = c-'0';
}
REP(i, n) {
REP(j, 1<<n) {
if (j & (1<<i)) {
A[j] += A[j^(1<<i)];
B[j] += B[j^(1<<i)];
}
}
}
// bug(A[6]);
while (q--) {
string s; cin>>s;
reverse(ALL(s));
int a,b,c; a=b=c=0;
for( char ch : s) {
if (ch == '?') ++c;
if (ch == '1') ++a;
if (ch == '0') ++b;
}
int mn = min({a,b,c});
int re = 0;
if (mn == c) {
int msk = 0;
int base = 0;
REP(i, n) {
if (s[i] == '?') msk += 1<<i;
if (s[i] == '1') base+= 1<<i;
}
int org = msk;
for (;;msk = (msk-1) & (org)) {
re += F[base | msk];
if(msk == 0) break;
}
}else {
int *U = min(a,b) == a? A:B;
if (min(a,b) != a) {
for (char &ch : s) {
if (ch != '?') ch = ch=='1'?'0':'1';
}
}
int msk = 0;
int base = 0;
REP(i,n) {
if (s[i] == '1') msk += 1<<i;
if (s[i] == '?') base+= 1<<i;
}
bug(msk, base, min(a,b) == a);
int org = msk;
for (; ; msk = (msk - 1) & org) {
re += (poppar[msk^org])?-U[msk|base]:U[msk|base];
if (msk == 0) break;
}
}
cout<<re<<endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
282 ms |
5612 KB |
Output is correct |
12 |
Correct |
276 ms |
5356 KB |
Output is correct |
13 |
Correct |
294 ms |
4708 KB |
Output is correct |
14 |
Correct |
327 ms |
4588 KB |
Output is correct |
15 |
Correct |
306 ms |
5612 KB |
Output is correct |
16 |
Correct |
328 ms |
4716 KB |
Output is correct |
17 |
Correct |
340 ms |
4716 KB |
Output is correct |
18 |
Correct |
270 ms |
6636 KB |
Output is correct |
19 |
Correct |
243 ms |
3692 KB |
Output is correct |
20 |
Correct |
316 ms |
5612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
282 ms |
5612 KB |
Output is correct |
12 |
Correct |
276 ms |
5356 KB |
Output is correct |
13 |
Correct |
294 ms |
4708 KB |
Output is correct |
14 |
Correct |
327 ms |
4588 KB |
Output is correct |
15 |
Correct |
306 ms |
5612 KB |
Output is correct |
16 |
Correct |
328 ms |
4716 KB |
Output is correct |
17 |
Correct |
340 ms |
4716 KB |
Output is correct |
18 |
Correct |
270 ms |
6636 KB |
Output is correct |
19 |
Correct |
243 ms |
3692 KB |
Output is correct |
20 |
Correct |
316 ms |
5612 KB |
Output is correct |
21 |
Correct |
343 ms |
5604 KB |
Output is correct |
22 |
Correct |
321 ms |
5824 KB |
Output is correct |
23 |
Correct |
356 ms |
4948 KB |
Output is correct |
24 |
Correct |
362 ms |
4716 KB |
Output is correct |
25 |
Correct |
396 ms |
6892 KB |
Output is correct |
26 |
Correct |
394 ms |
5100 KB |
Output is correct |
27 |
Correct |
405 ms |
5100 KB |
Output is correct |
28 |
Correct |
252 ms |
7788 KB |
Output is correct |
29 |
Correct |
286 ms |
3820 KB |
Output is correct |
30 |
Correct |
383 ms |
5952 KB |
Output is correct |
31 |
Correct |
404 ms |
5740 KB |
Output is correct |
32 |
Correct |
393 ms |
5996 KB |
Output is correct |
33 |
Correct |
352 ms |
4628 KB |
Output is correct |
34 |
Correct |
398 ms |
4588 KB |
Output is correct |
35 |
Correct |
405 ms |
5208 KB |
Output is correct |
36 |
Correct |
203 ms |
3692 KB |
Output is correct |
37 |
Correct |
304 ms |
5868 KB |
Output is correct |
38 |
Correct |
340 ms |
3692 KB |
Output is correct |
39 |
Correct |
431 ms |
4844 KB |
Output is correct |
40 |
Correct |
383 ms |
4844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
78 ms |
15084 KB |
Output is correct |
12 |
Correct |
78 ms |
15212 KB |
Output is correct |
13 |
Correct |
82 ms |
14956 KB |
Output is correct |
14 |
Correct |
97 ms |
15084 KB |
Output is correct |
15 |
Correct |
79 ms |
15084 KB |
Output is correct |
16 |
Correct |
117 ms |
15212 KB |
Output is correct |
17 |
Correct |
99 ms |
15084 KB |
Output is correct |
18 |
Correct |
66 ms |
15212 KB |
Output is correct |
19 |
Correct |
76 ms |
14956 KB |
Output is correct |
20 |
Correct |
82 ms |
15084 KB |
Output is correct |
21 |
Correct |
94 ms |
15084 KB |
Output is correct |
22 |
Correct |
103 ms |
15084 KB |
Output is correct |
23 |
Correct |
79 ms |
14956 KB |
Output is correct |
24 |
Correct |
115 ms |
15084 KB |
Output is correct |
25 |
Correct |
100 ms |
15084 KB |
Output is correct |
26 |
Correct |
65 ms |
14956 KB |
Output is correct |
27 |
Correct |
75 ms |
15084 KB |
Output is correct |
28 |
Correct |
79 ms |
14956 KB |
Output is correct |
29 |
Correct |
86 ms |
14956 KB |
Output is correct |
30 |
Correct |
94 ms |
15084 KB |
Output is correct |
31 |
Correct |
77 ms |
15212 KB |
Output is correct |
32 |
Correct |
109 ms |
15084 KB |
Output is correct |
33 |
Correct |
101 ms |
15084 KB |
Output is correct |
34 |
Correct |
66 ms |
14956 KB |
Output is correct |
35 |
Correct |
92 ms |
15084 KB |
Output is correct |
36 |
Correct |
93 ms |
15084 KB |
Output is correct |
37 |
Correct |
92 ms |
15084 KB |
Output is correct |
38 |
Correct |
92 ms |
15084 KB |
Output is correct |
39 |
Correct |
92 ms |
15084 KB |
Output is correct |
40 |
Correct |
93 ms |
15084 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
282 ms |
5612 KB |
Output is correct |
12 |
Correct |
276 ms |
5356 KB |
Output is correct |
13 |
Correct |
294 ms |
4708 KB |
Output is correct |
14 |
Correct |
327 ms |
4588 KB |
Output is correct |
15 |
Correct |
306 ms |
5612 KB |
Output is correct |
16 |
Correct |
328 ms |
4716 KB |
Output is correct |
17 |
Correct |
340 ms |
4716 KB |
Output is correct |
18 |
Correct |
270 ms |
6636 KB |
Output is correct |
19 |
Correct |
243 ms |
3692 KB |
Output is correct |
20 |
Correct |
316 ms |
5612 KB |
Output is correct |
21 |
Correct |
343 ms |
5604 KB |
Output is correct |
22 |
Correct |
321 ms |
5824 KB |
Output is correct |
23 |
Correct |
356 ms |
4948 KB |
Output is correct |
24 |
Correct |
362 ms |
4716 KB |
Output is correct |
25 |
Correct |
396 ms |
6892 KB |
Output is correct |
26 |
Correct |
394 ms |
5100 KB |
Output is correct |
27 |
Correct |
405 ms |
5100 KB |
Output is correct |
28 |
Correct |
252 ms |
7788 KB |
Output is correct |
29 |
Correct |
286 ms |
3820 KB |
Output is correct |
30 |
Correct |
383 ms |
5952 KB |
Output is correct |
31 |
Correct |
404 ms |
5740 KB |
Output is correct |
32 |
Correct |
393 ms |
5996 KB |
Output is correct |
33 |
Correct |
352 ms |
4628 KB |
Output is correct |
34 |
Correct |
398 ms |
4588 KB |
Output is correct |
35 |
Correct |
405 ms |
5208 KB |
Output is correct |
36 |
Correct |
203 ms |
3692 KB |
Output is correct |
37 |
Correct |
304 ms |
5868 KB |
Output is correct |
38 |
Correct |
340 ms |
3692 KB |
Output is correct |
39 |
Correct |
431 ms |
4844 KB |
Output is correct |
40 |
Correct |
383 ms |
4844 KB |
Output is correct |
41 |
Correct |
78 ms |
15084 KB |
Output is correct |
42 |
Correct |
78 ms |
15212 KB |
Output is correct |
43 |
Correct |
82 ms |
14956 KB |
Output is correct |
44 |
Correct |
97 ms |
15084 KB |
Output is correct |
45 |
Correct |
79 ms |
15084 KB |
Output is correct |
46 |
Correct |
117 ms |
15212 KB |
Output is correct |
47 |
Correct |
99 ms |
15084 KB |
Output is correct |
48 |
Correct |
66 ms |
15212 KB |
Output is correct |
49 |
Correct |
76 ms |
14956 KB |
Output is correct |
50 |
Correct |
82 ms |
15084 KB |
Output is correct |
51 |
Correct |
94 ms |
15084 KB |
Output is correct |
52 |
Correct |
103 ms |
15084 KB |
Output is correct |
53 |
Correct |
79 ms |
14956 KB |
Output is correct |
54 |
Correct |
115 ms |
15084 KB |
Output is correct |
55 |
Correct |
100 ms |
15084 KB |
Output is correct |
56 |
Correct |
65 ms |
14956 KB |
Output is correct |
57 |
Correct |
75 ms |
15084 KB |
Output is correct |
58 |
Correct |
79 ms |
14956 KB |
Output is correct |
59 |
Correct |
86 ms |
14956 KB |
Output is correct |
60 |
Correct |
94 ms |
15084 KB |
Output is correct |
61 |
Correct |
77 ms |
15212 KB |
Output is correct |
62 |
Correct |
109 ms |
15084 KB |
Output is correct |
63 |
Correct |
101 ms |
15084 KB |
Output is correct |
64 |
Correct |
66 ms |
14956 KB |
Output is correct |
65 |
Correct |
92 ms |
15084 KB |
Output is correct |
66 |
Correct |
93 ms |
15084 KB |
Output is correct |
67 |
Correct |
92 ms |
15084 KB |
Output is correct |
68 |
Correct |
92 ms |
15084 KB |
Output is correct |
69 |
Correct |
92 ms |
15084 KB |
Output is correct |
70 |
Correct |
93 ms |
15084 KB |
Output is correct |
71 |
Correct |
674 ms |
18796 KB |
Output is correct |
72 |
Correct |
564 ms |
18976 KB |
Output is correct |
73 |
Correct |
721 ms |
17388 KB |
Output is correct |
74 |
Correct |
1012 ms |
17848 KB |
Output is correct |
75 |
Correct |
636 ms |
19948 KB |
Output is correct |
76 |
Correct |
1208 ms |
18248 KB |
Output is correct |
77 |
Correct |
1044 ms |
18040 KB |
Output is correct |
78 |
Correct |
417 ms |
21740 KB |
Output is correct |
79 |
Correct |
522 ms |
15800 KB |
Output is correct |
80 |
Correct |
650 ms |
18876 KB |
Output is correct |
81 |
Correct |
837 ms |
18832 KB |
Output is correct |
82 |
Correct |
1120 ms |
17772 KB |
Output is correct |
83 |
Correct |
583 ms |
16968 KB |
Output is correct |
84 |
Correct |
982 ms |
18028 KB |
Output is correct |
85 |
Correct |
1004 ms |
17944 KB |
Output is correct |
86 |
Correct |
350 ms |
15724 KB |
Output is correct |
87 |
Correct |
518 ms |
18924 KB |
Output is correct |
88 |
Correct |
520 ms |
16020 KB |
Output is correct |
89 |
Correct |
744 ms |
17588 KB |
Output is correct |
90 |
Correct |
785 ms |
17784 KB |
Output is correct |
91 |
Correct |
544 ms |
17004 KB |
Output is correct |
92 |
Correct |
1201 ms |
18060 KB |
Output is correct |
93 |
Correct |
1000 ms |
17872 KB |
Output is correct |
94 |
Correct |
337 ms |
15724 KB |
Output is correct |
95 |
Correct |
903 ms |
18028 KB |
Output is correct |
96 |
Correct |
877 ms |
17920 KB |
Output is correct |
97 |
Correct |
851 ms |
17772 KB |
Output is correct |
98 |
Correct |
838 ms |
18028 KB |
Output is correct |
99 |
Correct |
860 ms |
18016 KB |
Output is correct |
100 |
Correct |
885 ms |
17992 KB |
Output is correct |