#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("O3")
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pii;
typedef pair<ll, ll> pll;
#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mispertion ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define F first
#define S second
#define getlast(s) (*s.rbegin())
#define debg cout << "OK\n"
const ld PI = 3.1415926535;
const int N = 2e6+10;
const int M = 7e6 + 1;
int mod = 1e9+7;
const int infi = INT_MAX;
const ll infl = LLONG_MAX;
const int P = 2;
int mult(int a, int b) {
return a * 1LL * b % mod;
}
int sum(int a, int b) {
if (a + b < 0)
return a + b + mod;
if (a + b >= mod)
return a + b - mod;
return a + b;
}
ll binpow(ll a, ll n) {
if (n == 0)
return 1;
if (n % 2 == 1) {
return binpow(a, n - 1) * a % mod;
} else {
ll b = binpow(a, n / 2);
return b * b % mod;
}
}
int n, q, a[N], sos[N], sou[N];
void solve(){
cin >> n >> q;
string tmp;
cin >> tmp;
for(int i = 0; i < (1 << n); i++)
sos[i] = sou[i] = a[i] = tmp[i] - '0';
//sum over subsets
for(int i = 0; i < n; i++)
for(int mask = 0; mask < (1 << n); mask++)
if(mask & (1 << i))
sos[mask] += sos[mask ^ (1 << i)];
for(int i = 0; i < n; i++)
for(int mask = (1 << n) - 1; mask >= 0; mask--)
if(!(mask & (1 << i)))
sou[mask] += sou[mask ^ (1 << i)];
while(q--){
vector<int> und = {}, zer = {}, one = {};
string s;
cin >> s;
reverse(all(s));
int mainm = 0, unmask = 0, zermask = 0;
for(int i = 0; i < sz(s); i++){
if(s[i] == '?')
und.pb(i), unmask += (1 << i);
if(s[i] == '0')
zer.pb(i), zermask += (1 << i);
if(s[i] == '1')
one.pb(i), mainm += (1 << i);
}
if(sz(und) <= sz(zer) && sz(und) <= sz(one)){
int ans = a[mainm];
for(int mask = unmask; mask > 0; mask = (mask - 1) & unmask){
ans += a[mask + mainm];
}
cout << ans << '\n';
}else if(sz(zer) <= sz(und) && sz(one) >= sz(zer)){
int ans = sou[mainm];
for(int mask = zermask; mask > 0; mask = (mask - 1) & zermask){
int cnt = __builtin_popcount(mask);
if(cnt % 2)
ans -= sou[mask + mainm];
else
ans += sou[mask + mainm];
}
cout << ans << '\n';
}else{
int ans = 0;
if(sz(one) % 2)
ans -= sos[unmask];
else
ans += sos[unmask];
for(int mask = mainm; mask > 0; mask = (mask - 1) & mainm){
int cnt = sz(one) - __builtin_popcount(mask);
if(cnt % 2)
ans -= sos[mask + unmask];
else
ans += sos[mask + unmask];
}
cout << ans << '\n';
}
}
}
signed main() {
mispertion;
int t = 1;
//cin >> t;
while(t--){
solve();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
292 ms |
6412 KB |
Output is correct |
12 |
Correct |
285 ms |
8020 KB |
Output is correct |
13 |
Correct |
352 ms |
7304 KB |
Output is correct |
14 |
Correct |
336 ms |
7504 KB |
Output is correct |
15 |
Correct |
333 ms |
8468 KB |
Output is correct |
16 |
Correct |
359 ms |
7508 KB |
Output is correct |
17 |
Correct |
375 ms |
7708 KB |
Output is correct |
18 |
Correct |
184 ms |
9552 KB |
Output is correct |
19 |
Correct |
282 ms |
6488 KB |
Output is correct |
20 |
Correct |
300 ms |
8176 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
292 ms |
6412 KB |
Output is correct |
12 |
Correct |
285 ms |
8020 KB |
Output is correct |
13 |
Correct |
352 ms |
7304 KB |
Output is correct |
14 |
Correct |
336 ms |
7504 KB |
Output is correct |
15 |
Correct |
333 ms |
8468 KB |
Output is correct |
16 |
Correct |
359 ms |
7508 KB |
Output is correct |
17 |
Correct |
375 ms |
7708 KB |
Output is correct |
18 |
Correct |
184 ms |
9552 KB |
Output is correct |
19 |
Correct |
282 ms |
6488 KB |
Output is correct |
20 |
Correct |
300 ms |
8176 KB |
Output is correct |
21 |
Correct |
314 ms |
6484 KB |
Output is correct |
22 |
Correct |
335 ms |
8752 KB |
Output is correct |
23 |
Correct |
413 ms |
7764 KB |
Output is correct |
24 |
Correct |
409 ms |
5560 KB |
Output is correct |
25 |
Correct |
448 ms |
7504 KB |
Output is correct |
26 |
Correct |
485 ms |
7924 KB |
Output is correct |
27 |
Correct |
468 ms |
7988 KB |
Output is correct |
28 |
Correct |
217 ms |
10580 KB |
Output is correct |
29 |
Correct |
313 ms |
6480 KB |
Output is correct |
30 |
Correct |
351 ms |
8624 KB |
Output is correct |
31 |
Correct |
474 ms |
8528 KB |
Output is correct |
32 |
Correct |
452 ms |
8532 KB |
Output is correct |
33 |
Correct |
366 ms |
7520 KB |
Output is correct |
34 |
Correct |
458 ms |
7476 KB |
Output is correct |
35 |
Correct |
474 ms |
7956 KB |
Output is correct |
36 |
Correct |
255 ms |
6484 KB |
Output is correct |
37 |
Correct |
326 ms |
8528 KB |
Output is correct |
38 |
Correct |
373 ms |
4432 KB |
Output is correct |
39 |
Correct |
402 ms |
7804 KB |
Output is correct |
40 |
Correct |
415 ms |
7468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
51 ms |
17588 KB |
Output is correct |
12 |
Correct |
48 ms |
18672 KB |
Output is correct |
13 |
Correct |
57 ms |
18644 KB |
Output is correct |
14 |
Correct |
66 ms |
18604 KB |
Output is correct |
15 |
Correct |
54 ms |
18684 KB |
Output is correct |
16 |
Correct |
62 ms |
18664 KB |
Output is correct |
17 |
Correct |
60 ms |
18672 KB |
Output is correct |
18 |
Correct |
40 ms |
18928 KB |
Output is correct |
19 |
Correct |
48 ms |
18680 KB |
Output is correct |
20 |
Correct |
48 ms |
18860 KB |
Output is correct |
21 |
Correct |
57 ms |
18676 KB |
Output is correct |
22 |
Correct |
71 ms |
18676 KB |
Output is correct |
23 |
Correct |
57 ms |
18532 KB |
Output is correct |
24 |
Correct |
58 ms |
18800 KB |
Output is correct |
25 |
Correct |
59 ms |
18672 KB |
Output is correct |
26 |
Correct |
37 ms |
18676 KB |
Output is correct |
27 |
Correct |
44 ms |
18672 KB |
Output is correct |
28 |
Correct |
55 ms |
18672 KB |
Output is correct |
29 |
Correct |
54 ms |
18672 KB |
Output is correct |
30 |
Correct |
56 ms |
18640 KB |
Output is correct |
31 |
Correct |
49 ms |
18676 KB |
Output is correct |
32 |
Correct |
74 ms |
18672 KB |
Output is correct |
33 |
Correct |
67 ms |
18588 KB |
Output is correct |
34 |
Correct |
40 ms |
18472 KB |
Output is correct |
35 |
Correct |
53 ms |
18672 KB |
Output is correct |
36 |
Correct |
57 ms |
18672 KB |
Output is correct |
37 |
Correct |
55 ms |
18768 KB |
Output is correct |
38 |
Correct |
59 ms |
18604 KB |
Output is correct |
39 |
Correct |
55 ms |
18672 KB |
Output is correct |
40 |
Correct |
55 ms |
18588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
292 ms |
6412 KB |
Output is correct |
12 |
Correct |
285 ms |
8020 KB |
Output is correct |
13 |
Correct |
352 ms |
7304 KB |
Output is correct |
14 |
Correct |
336 ms |
7504 KB |
Output is correct |
15 |
Correct |
333 ms |
8468 KB |
Output is correct |
16 |
Correct |
359 ms |
7508 KB |
Output is correct |
17 |
Correct |
375 ms |
7708 KB |
Output is correct |
18 |
Correct |
184 ms |
9552 KB |
Output is correct |
19 |
Correct |
282 ms |
6488 KB |
Output is correct |
20 |
Correct |
300 ms |
8176 KB |
Output is correct |
21 |
Correct |
314 ms |
6484 KB |
Output is correct |
22 |
Correct |
335 ms |
8752 KB |
Output is correct |
23 |
Correct |
413 ms |
7764 KB |
Output is correct |
24 |
Correct |
409 ms |
5560 KB |
Output is correct |
25 |
Correct |
448 ms |
7504 KB |
Output is correct |
26 |
Correct |
485 ms |
7924 KB |
Output is correct |
27 |
Correct |
468 ms |
7988 KB |
Output is correct |
28 |
Correct |
217 ms |
10580 KB |
Output is correct |
29 |
Correct |
313 ms |
6480 KB |
Output is correct |
30 |
Correct |
351 ms |
8624 KB |
Output is correct |
31 |
Correct |
474 ms |
8528 KB |
Output is correct |
32 |
Correct |
452 ms |
8532 KB |
Output is correct |
33 |
Correct |
366 ms |
7520 KB |
Output is correct |
34 |
Correct |
458 ms |
7476 KB |
Output is correct |
35 |
Correct |
474 ms |
7956 KB |
Output is correct |
36 |
Correct |
255 ms |
6484 KB |
Output is correct |
37 |
Correct |
326 ms |
8528 KB |
Output is correct |
38 |
Correct |
373 ms |
4432 KB |
Output is correct |
39 |
Correct |
402 ms |
7804 KB |
Output is correct |
40 |
Correct |
415 ms |
7468 KB |
Output is correct |
41 |
Correct |
51 ms |
17588 KB |
Output is correct |
42 |
Correct |
48 ms |
18672 KB |
Output is correct |
43 |
Correct |
57 ms |
18644 KB |
Output is correct |
44 |
Correct |
66 ms |
18604 KB |
Output is correct |
45 |
Correct |
54 ms |
18684 KB |
Output is correct |
46 |
Correct |
62 ms |
18664 KB |
Output is correct |
47 |
Correct |
60 ms |
18672 KB |
Output is correct |
48 |
Correct |
40 ms |
18928 KB |
Output is correct |
49 |
Correct |
48 ms |
18680 KB |
Output is correct |
50 |
Correct |
48 ms |
18860 KB |
Output is correct |
51 |
Correct |
57 ms |
18676 KB |
Output is correct |
52 |
Correct |
71 ms |
18676 KB |
Output is correct |
53 |
Correct |
57 ms |
18532 KB |
Output is correct |
54 |
Correct |
58 ms |
18800 KB |
Output is correct |
55 |
Correct |
59 ms |
18672 KB |
Output is correct |
56 |
Correct |
37 ms |
18676 KB |
Output is correct |
57 |
Correct |
44 ms |
18672 KB |
Output is correct |
58 |
Correct |
55 ms |
18672 KB |
Output is correct |
59 |
Correct |
54 ms |
18672 KB |
Output is correct |
60 |
Correct |
56 ms |
18640 KB |
Output is correct |
61 |
Correct |
49 ms |
18676 KB |
Output is correct |
62 |
Correct |
74 ms |
18672 KB |
Output is correct |
63 |
Correct |
67 ms |
18588 KB |
Output is correct |
64 |
Correct |
40 ms |
18472 KB |
Output is correct |
65 |
Correct |
53 ms |
18672 KB |
Output is correct |
66 |
Correct |
57 ms |
18672 KB |
Output is correct |
67 |
Correct |
55 ms |
18768 KB |
Output is correct |
68 |
Correct |
59 ms |
18604 KB |
Output is correct |
69 |
Correct |
55 ms |
18672 KB |
Output is correct |
70 |
Correct |
55 ms |
18588 KB |
Output is correct |
71 |
Correct |
461 ms |
43124 KB |
Output is correct |
72 |
Correct |
448 ms |
43228 KB |
Output is correct |
73 |
Correct |
625 ms |
41800 KB |
Output is correct |
74 |
Correct |
779 ms |
41972 KB |
Output is correct |
75 |
Correct |
586 ms |
44016 KB |
Output is correct |
76 |
Correct |
849 ms |
42356 KB |
Output is correct |
77 |
Correct |
867 ms |
42228 KB |
Output is correct |
78 |
Correct |
288 ms |
46064 KB |
Output is correct |
79 |
Correct |
517 ms |
38644 KB |
Output is correct |
80 |
Correct |
538 ms |
40436 KB |
Output is correct |
81 |
Correct |
805 ms |
40528 KB |
Output is correct |
82 |
Correct |
871 ms |
39532 KB |
Output is correct |
83 |
Correct |
558 ms |
39816 KB |
Output is correct |
84 |
Correct |
765 ms |
42060 KB |
Output is correct |
85 |
Correct |
757 ms |
42224 KB |
Output is correct |
86 |
Correct |
297 ms |
39916 KB |
Output is correct |
87 |
Correct |
513 ms |
43088 KB |
Output is correct |
88 |
Correct |
513 ms |
40144 KB |
Output is correct |
89 |
Correct |
676 ms |
41588 KB |
Output is correct |
90 |
Correct |
704 ms |
41980 KB |
Output is correct |
91 |
Correct |
544 ms |
41312 KB |
Output is correct |
92 |
Correct |
874 ms |
42228 KB |
Output is correct |
93 |
Correct |
784 ms |
42244 KB |
Output is correct |
94 |
Correct |
311 ms |
39936 KB |
Output is correct |
95 |
Correct |
625 ms |
42224 KB |
Output is correct |
96 |
Correct |
634 ms |
42228 KB |
Output is correct |
97 |
Correct |
621 ms |
42152 KB |
Output is correct |
98 |
Correct |
621 ms |
42228 KB |
Output is correct |
99 |
Correct |
657 ms |
42204 KB |
Output is correct |
100 |
Correct |
636 ms |
42144 KB |
Output is correct |