#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], B[1<<20], F[1<<20];
bool poppar[1<<20];
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 |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 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 |
364 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 |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 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 |
364 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 |
286 ms |
15212 KB |
Output is correct |
12 |
Correct |
335 ms |
14956 KB |
Output is correct |
13 |
Correct |
295 ms |
14188 KB |
Output is correct |
14 |
Correct |
320 ms |
14308 KB |
Output is correct |
15 |
Correct |
318 ms |
15212 KB |
Output is correct |
16 |
Correct |
343 ms |
14536 KB |
Output is correct |
17 |
Correct |
347 ms |
14316 KB |
Output is correct |
18 |
Correct |
244 ms |
16236 KB |
Output is correct |
19 |
Correct |
250 ms |
13164 KB |
Output is correct |
20 |
Correct |
320 ms |
14876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 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 |
364 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 |
286 ms |
15212 KB |
Output is correct |
12 |
Correct |
335 ms |
14956 KB |
Output is correct |
13 |
Correct |
295 ms |
14188 KB |
Output is correct |
14 |
Correct |
320 ms |
14308 KB |
Output is correct |
15 |
Correct |
318 ms |
15212 KB |
Output is correct |
16 |
Correct |
343 ms |
14536 KB |
Output is correct |
17 |
Correct |
347 ms |
14316 KB |
Output is correct |
18 |
Correct |
244 ms |
16236 KB |
Output is correct |
19 |
Correct |
250 ms |
13164 KB |
Output is correct |
20 |
Correct |
320 ms |
14876 KB |
Output is correct |
21 |
Correct |
355 ms |
18284 KB |
Output is correct |
22 |
Correct |
318 ms |
18412 KB |
Output is correct |
23 |
Correct |
380 ms |
17516 KB |
Output is correct |
24 |
Correct |
377 ms |
17260 KB |
Output is correct |
25 |
Correct |
381 ms |
19412 KB |
Output is correct |
26 |
Correct |
397 ms |
17796 KB |
Output is correct |
27 |
Correct |
437 ms |
17704 KB |
Output is correct |
28 |
Correct |
253 ms |
20332 KB |
Output is correct |
29 |
Correct |
287 ms |
16256 KB |
Output is correct |
30 |
Correct |
392 ms |
18412 KB |
Output is correct |
31 |
Correct |
425 ms |
18204 KB |
Output is correct |
32 |
Correct |
404 ms |
18188 KB |
Output is correct |
33 |
Correct |
353 ms |
17148 KB |
Output is correct |
34 |
Correct |
414 ms |
17388 KB |
Output is correct |
35 |
Correct |
422 ms |
17644 KB |
Output is correct |
36 |
Correct |
210 ms |
16236 KB |
Output is correct |
37 |
Correct |
294 ms |
18412 KB |
Output is correct |
38 |
Correct |
284 ms |
16364 KB |
Output is correct |
39 |
Correct |
413 ms |
17388 KB |
Output is correct |
40 |
Correct |
376 ms |
17260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 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 |
364 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 |
83 ms |
15980 KB |
Output is correct |
12 |
Correct |
78 ms |
15980 KB |
Output is correct |
13 |
Correct |
88 ms |
15980 KB |
Output is correct |
14 |
Correct |
102 ms |
16068 KB |
Output is correct |
15 |
Correct |
83 ms |
15980 KB |
Output is correct |
16 |
Correct |
109 ms |
16036 KB |
Output is correct |
17 |
Correct |
106 ms |
15980 KB |
Output is correct |
18 |
Correct |
72 ms |
16108 KB |
Output is correct |
19 |
Correct |
76 ms |
15852 KB |
Output is correct |
20 |
Correct |
84 ms |
15980 KB |
Output is correct |
21 |
Correct |
90 ms |
15980 KB |
Output is correct |
22 |
Correct |
105 ms |
15980 KB |
Output is correct |
23 |
Correct |
81 ms |
15852 KB |
Output is correct |
24 |
Correct |
104 ms |
15980 KB |
Output is correct |
25 |
Correct |
104 ms |
15980 KB |
Output is correct |
26 |
Correct |
67 ms |
15852 KB |
Output is correct |
27 |
Correct |
77 ms |
15980 KB |
Output is correct |
28 |
Correct |
78 ms |
16128 KB |
Output is correct |
29 |
Correct |
91 ms |
15980 KB |
Output is correct |
30 |
Correct |
96 ms |
15980 KB |
Output is correct |
31 |
Correct |
81 ms |
15852 KB |
Output is correct |
32 |
Correct |
115 ms |
15980 KB |
Output is correct |
33 |
Correct |
107 ms |
16024 KB |
Output is correct |
34 |
Correct |
68 ms |
15852 KB |
Output is correct |
35 |
Correct |
94 ms |
15980 KB |
Output is correct |
36 |
Correct |
93 ms |
15980 KB |
Output is correct |
37 |
Correct |
107 ms |
15980 KB |
Output is correct |
38 |
Correct |
106 ms |
15980 KB |
Output is correct |
39 |
Correct |
95 ms |
15980 KB |
Output is correct |
40 |
Correct |
107 ms |
15980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
492 KB |
Output is correct |
2 |
Correct |
1 ms |
492 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 |
364 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 |
286 ms |
15212 KB |
Output is correct |
12 |
Correct |
335 ms |
14956 KB |
Output is correct |
13 |
Correct |
295 ms |
14188 KB |
Output is correct |
14 |
Correct |
320 ms |
14308 KB |
Output is correct |
15 |
Correct |
318 ms |
15212 KB |
Output is correct |
16 |
Correct |
343 ms |
14536 KB |
Output is correct |
17 |
Correct |
347 ms |
14316 KB |
Output is correct |
18 |
Correct |
244 ms |
16236 KB |
Output is correct |
19 |
Correct |
250 ms |
13164 KB |
Output is correct |
20 |
Correct |
320 ms |
14876 KB |
Output is correct |
21 |
Correct |
355 ms |
18284 KB |
Output is correct |
22 |
Correct |
318 ms |
18412 KB |
Output is correct |
23 |
Correct |
380 ms |
17516 KB |
Output is correct |
24 |
Correct |
377 ms |
17260 KB |
Output is correct |
25 |
Correct |
381 ms |
19412 KB |
Output is correct |
26 |
Correct |
397 ms |
17796 KB |
Output is correct |
27 |
Correct |
437 ms |
17704 KB |
Output is correct |
28 |
Correct |
253 ms |
20332 KB |
Output is correct |
29 |
Correct |
287 ms |
16256 KB |
Output is correct |
30 |
Correct |
392 ms |
18412 KB |
Output is correct |
31 |
Correct |
425 ms |
18204 KB |
Output is correct |
32 |
Correct |
404 ms |
18188 KB |
Output is correct |
33 |
Correct |
353 ms |
17148 KB |
Output is correct |
34 |
Correct |
414 ms |
17388 KB |
Output is correct |
35 |
Correct |
422 ms |
17644 KB |
Output is correct |
36 |
Correct |
210 ms |
16236 KB |
Output is correct |
37 |
Correct |
294 ms |
18412 KB |
Output is correct |
38 |
Correct |
284 ms |
16364 KB |
Output is correct |
39 |
Correct |
413 ms |
17388 KB |
Output is correct |
40 |
Correct |
376 ms |
17260 KB |
Output is correct |
41 |
Correct |
83 ms |
15980 KB |
Output is correct |
42 |
Correct |
78 ms |
15980 KB |
Output is correct |
43 |
Correct |
88 ms |
15980 KB |
Output is correct |
44 |
Correct |
102 ms |
16068 KB |
Output is correct |
45 |
Correct |
83 ms |
15980 KB |
Output is correct |
46 |
Correct |
109 ms |
16036 KB |
Output is correct |
47 |
Correct |
106 ms |
15980 KB |
Output is correct |
48 |
Correct |
72 ms |
16108 KB |
Output is correct |
49 |
Correct |
76 ms |
15852 KB |
Output is correct |
50 |
Correct |
84 ms |
15980 KB |
Output is correct |
51 |
Correct |
90 ms |
15980 KB |
Output is correct |
52 |
Correct |
105 ms |
15980 KB |
Output is correct |
53 |
Correct |
81 ms |
15852 KB |
Output is correct |
54 |
Correct |
104 ms |
15980 KB |
Output is correct |
55 |
Correct |
104 ms |
15980 KB |
Output is correct |
56 |
Correct |
67 ms |
15852 KB |
Output is correct |
57 |
Correct |
77 ms |
15980 KB |
Output is correct |
58 |
Correct |
78 ms |
16128 KB |
Output is correct |
59 |
Correct |
91 ms |
15980 KB |
Output is correct |
60 |
Correct |
96 ms |
15980 KB |
Output is correct |
61 |
Correct |
81 ms |
15852 KB |
Output is correct |
62 |
Correct |
115 ms |
15980 KB |
Output is correct |
63 |
Correct |
107 ms |
16024 KB |
Output is correct |
64 |
Correct |
68 ms |
15852 KB |
Output is correct |
65 |
Correct |
94 ms |
15980 KB |
Output is correct |
66 |
Correct |
93 ms |
15980 KB |
Output is correct |
67 |
Correct |
107 ms |
15980 KB |
Output is correct |
68 |
Correct |
106 ms |
15980 KB |
Output is correct |
69 |
Correct |
95 ms |
15980 KB |
Output is correct |
70 |
Correct |
107 ms |
15980 KB |
Output is correct |
71 |
Correct |
672 ms |
40428 KB |
Output is correct |
72 |
Correct |
592 ms |
40368 KB |
Output is correct |
73 |
Correct |
740 ms |
38976 KB |
Output is correct |
74 |
Correct |
1123 ms |
39416 KB |
Output is correct |
75 |
Correct |
666 ms |
41324 KB |
Output is correct |
76 |
Correct |
1261 ms |
39592 KB |
Output is correct |
77 |
Correct |
1058 ms |
39532 KB |
Output is correct |
78 |
Correct |
416 ms |
43244 KB |
Output is correct |
79 |
Correct |
553 ms |
37356 KB |
Output is correct |
80 |
Correct |
698 ms |
40468 KB |
Output is correct |
81 |
Correct |
927 ms |
40320 KB |
Output is correct |
82 |
Correct |
1317 ms |
39356 KB |
Output is correct |
83 |
Correct |
608 ms |
38640 KB |
Output is correct |
84 |
Correct |
1137 ms |
39276 KB |
Output is correct |
85 |
Correct |
1044 ms |
39428 KB |
Output is correct |
86 |
Correct |
358 ms |
37356 KB |
Output is correct |
87 |
Correct |
558 ms |
40300 KB |
Output is correct |
88 |
Correct |
612 ms |
37284 KB |
Output is correct |
89 |
Correct |
903 ms |
38892 KB |
Output is correct |
90 |
Correct |
913 ms |
39424 KB |
Output is correct |
91 |
Correct |
607 ms |
38504 KB |
Output is correct |
92 |
Correct |
1256 ms |
39840 KB |
Output is correct |
93 |
Correct |
1082 ms |
39504 KB |
Output is correct |
94 |
Correct |
368 ms |
37264 KB |
Output is correct |
95 |
Correct |
942 ms |
39320 KB |
Output is correct |
96 |
Correct |
888 ms |
39352 KB |
Output is correct |
97 |
Correct |
903 ms |
39420 KB |
Output is correct |
98 |
Correct |
898 ms |
39484 KB |
Output is correct |
99 |
Correct |
918 ms |
39468 KB |
Output is correct |
100 |
Correct |
901 ms |
39436 KB |
Output is correct |