// In the name of God
// Hope is last to die
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define pb push_back
// #define int long long
#define S second
#define F first
#define mp make_pair
#define smax(x, y) (x) = max((x), (y))
#define smin(x, y) (x) = min((x), (y))
#define all(x) (x).begin(), (x).end()
const int maxn = 1ll << 20;
const int inf = 1e9 + 7;
int n, q, dp[maxn], pd[maxn], res[70];
string s;
vector<int> pos;
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> q;
cin >> s;
for(int i = 0; i < (1ll << n); i++){
dp[i] = pd[(1ll << n) - 1 - i] = s[i] - '0';
}
for(int i = 0; i < n; i++){
for(int mask = 0; mask < (1ll << n); mask++){
if(!(mask & (1ll << i))){
dp[mask] += dp[mask + (1ll << i)];
pd[mask] += pd[mask + (1ll << i)];
}
}
}
while(q--){
string t; cin >> t;
reverse(all(t));
int one = count(all(t), '1');
int zero = count(all(t), '0');
int ques = count(all(t), '?');
int ans = 0;
pos.clear();
if(ques < 7){
int mask = 0;
for(int i = 0; i < n; i++){
if(t[i] == '1') mask += 1ll << i;
if(t[i] == '?') pos.pb(i);
}
res[0] = mask;
ans = s[mask] - '0';
for(int i = 1; i < (1ll << ques); i++){
int b = __builtin_ctz(i);
res[i] = res[i - (1ll << b)] + (1ll << pos[b]);
ans += s[res[i]] - '0';
}
}
else if(zero < 7){
int mask = 0;
for(int i = 0; i < n; i++){
if(t[i] == '1') mask += 1ll << i;
if(t[i] == '0') pos.pb(i);
}
res[0] = mask;
ans = dp[mask];
for(int i = 1; i < (1ll << zero); i++){
int b = __builtin_ctz(i);
res[i] = res[i - (1ll << b)] + (1ll << pos[b]);
if(__builtin_parity(i)) ans -= dp[res[i]];
else ans += dp[res[i]];
}
}
else{
int mask = 0;
for(int i = 0; i < n; i++){
if(t[i] == '0') mask += 1ll << i;
if(t[i] == '1') pos.pb(i);
}
res[0] = mask;
ans = pd[mask];
for(int i = 1; i < (1ll << one); i++){
int b = __builtin_ctz(i);
res[i] = res[i - (1ll << b)] + (1ll << pos[b]);
if(__builtin_parity(i)) ans -= pd[res[i]];
else ans += pd[res[i]];
}
}
cout << ans << '\n';
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2524 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 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 |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2524 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 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 |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
233 ms |
12164 KB |
Output is correct |
12 |
Correct |
249 ms |
11972 KB |
Output is correct |
13 |
Correct |
246 ms |
10968 KB |
Output is correct |
14 |
Correct |
218 ms |
11088 KB |
Output is correct |
15 |
Correct |
281 ms |
12112 KB |
Output is correct |
16 |
Correct |
237 ms |
11092 KB |
Output is correct |
17 |
Correct |
248 ms |
11264 KB |
Output is correct |
18 |
Correct |
147 ms |
13144 KB |
Output is correct |
19 |
Correct |
187 ms |
10360 KB |
Output is correct |
20 |
Correct |
237 ms |
11936 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2524 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 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 |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
233 ms |
12164 KB |
Output is correct |
12 |
Correct |
249 ms |
11972 KB |
Output is correct |
13 |
Correct |
246 ms |
10968 KB |
Output is correct |
14 |
Correct |
218 ms |
11088 KB |
Output is correct |
15 |
Correct |
281 ms |
12112 KB |
Output is correct |
16 |
Correct |
237 ms |
11092 KB |
Output is correct |
17 |
Correct |
248 ms |
11264 KB |
Output is correct |
18 |
Correct |
147 ms |
13144 KB |
Output is correct |
19 |
Correct |
187 ms |
10360 KB |
Output is correct |
20 |
Correct |
237 ms |
11936 KB |
Output is correct |
21 |
Correct |
218 ms |
13860 KB |
Output is correct |
22 |
Correct |
306 ms |
13868 KB |
Output is correct |
23 |
Correct |
265 ms |
12812 KB |
Output is correct |
24 |
Correct |
265 ms |
13136 KB |
Output is correct |
25 |
Correct |
239 ms |
14676 KB |
Output is correct |
26 |
Correct |
296 ms |
13444 KB |
Output is correct |
27 |
Correct |
327 ms |
13144 KB |
Output is correct |
28 |
Correct |
166 ms |
15564 KB |
Output is correct |
29 |
Correct |
208 ms |
11680 KB |
Output is correct |
30 |
Correct |
266 ms |
13772 KB |
Output is correct |
31 |
Correct |
332 ms |
13652 KB |
Output is correct |
32 |
Correct |
296 ms |
13696 KB |
Output is correct |
33 |
Correct |
254 ms |
12388 KB |
Output is correct |
34 |
Correct |
269 ms |
12576 KB |
Output is correct |
35 |
Correct |
317 ms |
13232 KB |
Output is correct |
36 |
Correct |
164 ms |
13004 KB |
Output is correct |
37 |
Correct |
319 ms |
17100 KB |
Output is correct |
38 |
Correct |
222 ms |
15188 KB |
Output is correct |
39 |
Correct |
282 ms |
16624 KB |
Output is correct |
40 |
Correct |
311 ms |
16272 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2524 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 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 |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
32 ms |
12020 KB |
Output is correct |
12 |
Correct |
36 ms |
12024 KB |
Output is correct |
13 |
Correct |
38 ms |
12016 KB |
Output is correct |
14 |
Correct |
48 ms |
12000 KB |
Output is correct |
15 |
Correct |
34 ms |
12024 KB |
Output is correct |
16 |
Correct |
47 ms |
12148 KB |
Output is correct |
17 |
Correct |
39 ms |
11932 KB |
Output is correct |
18 |
Correct |
31 ms |
12016 KB |
Output is correct |
19 |
Correct |
33 ms |
11760 KB |
Output is correct |
20 |
Correct |
36 ms |
12024 KB |
Output is correct |
21 |
Correct |
37 ms |
12020 KB |
Output is correct |
22 |
Correct |
42 ms |
12016 KB |
Output is correct |
23 |
Correct |
35 ms |
11960 KB |
Output is correct |
24 |
Correct |
40 ms |
11856 KB |
Output is correct |
25 |
Correct |
42 ms |
12020 KB |
Output is correct |
26 |
Correct |
29 ms |
12204 KB |
Output is correct |
27 |
Correct |
32 ms |
12100 KB |
Output is correct |
28 |
Correct |
34 ms |
11768 KB |
Output is correct |
29 |
Correct |
42 ms |
12016 KB |
Output is correct |
30 |
Correct |
47 ms |
11936 KB |
Output is correct |
31 |
Correct |
34 ms |
12028 KB |
Output is correct |
32 |
Correct |
41 ms |
12068 KB |
Output is correct |
33 |
Correct |
40 ms |
12020 KB |
Output is correct |
34 |
Correct |
29 ms |
11764 KB |
Output is correct |
35 |
Correct |
39 ms |
12016 KB |
Output is correct |
36 |
Correct |
39 ms |
12020 KB |
Output is correct |
37 |
Correct |
46 ms |
12024 KB |
Output is correct |
38 |
Correct |
39 ms |
11828 KB |
Output is correct |
39 |
Correct |
38 ms |
12024 KB |
Output is correct |
40 |
Correct |
39 ms |
11864 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2524 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2648 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 |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
233 ms |
12164 KB |
Output is correct |
12 |
Correct |
249 ms |
11972 KB |
Output is correct |
13 |
Correct |
246 ms |
10968 KB |
Output is correct |
14 |
Correct |
218 ms |
11088 KB |
Output is correct |
15 |
Correct |
281 ms |
12112 KB |
Output is correct |
16 |
Correct |
237 ms |
11092 KB |
Output is correct |
17 |
Correct |
248 ms |
11264 KB |
Output is correct |
18 |
Correct |
147 ms |
13144 KB |
Output is correct |
19 |
Correct |
187 ms |
10360 KB |
Output is correct |
20 |
Correct |
237 ms |
11936 KB |
Output is correct |
21 |
Correct |
218 ms |
13860 KB |
Output is correct |
22 |
Correct |
306 ms |
13868 KB |
Output is correct |
23 |
Correct |
265 ms |
12812 KB |
Output is correct |
24 |
Correct |
265 ms |
13136 KB |
Output is correct |
25 |
Correct |
239 ms |
14676 KB |
Output is correct |
26 |
Correct |
296 ms |
13444 KB |
Output is correct |
27 |
Correct |
327 ms |
13144 KB |
Output is correct |
28 |
Correct |
166 ms |
15564 KB |
Output is correct |
29 |
Correct |
208 ms |
11680 KB |
Output is correct |
30 |
Correct |
266 ms |
13772 KB |
Output is correct |
31 |
Correct |
332 ms |
13652 KB |
Output is correct |
32 |
Correct |
296 ms |
13696 KB |
Output is correct |
33 |
Correct |
254 ms |
12388 KB |
Output is correct |
34 |
Correct |
269 ms |
12576 KB |
Output is correct |
35 |
Correct |
317 ms |
13232 KB |
Output is correct |
36 |
Correct |
164 ms |
13004 KB |
Output is correct |
37 |
Correct |
319 ms |
17100 KB |
Output is correct |
38 |
Correct |
222 ms |
15188 KB |
Output is correct |
39 |
Correct |
282 ms |
16624 KB |
Output is correct |
40 |
Correct |
311 ms |
16272 KB |
Output is correct |
41 |
Correct |
32 ms |
12020 KB |
Output is correct |
42 |
Correct |
36 ms |
12024 KB |
Output is correct |
43 |
Correct |
38 ms |
12016 KB |
Output is correct |
44 |
Correct |
48 ms |
12000 KB |
Output is correct |
45 |
Correct |
34 ms |
12024 KB |
Output is correct |
46 |
Correct |
47 ms |
12148 KB |
Output is correct |
47 |
Correct |
39 ms |
11932 KB |
Output is correct |
48 |
Correct |
31 ms |
12016 KB |
Output is correct |
49 |
Correct |
33 ms |
11760 KB |
Output is correct |
50 |
Correct |
36 ms |
12024 KB |
Output is correct |
51 |
Correct |
37 ms |
12020 KB |
Output is correct |
52 |
Correct |
42 ms |
12016 KB |
Output is correct |
53 |
Correct |
35 ms |
11960 KB |
Output is correct |
54 |
Correct |
40 ms |
11856 KB |
Output is correct |
55 |
Correct |
42 ms |
12020 KB |
Output is correct |
56 |
Correct |
29 ms |
12204 KB |
Output is correct |
57 |
Correct |
32 ms |
12100 KB |
Output is correct |
58 |
Correct |
34 ms |
11768 KB |
Output is correct |
59 |
Correct |
42 ms |
12016 KB |
Output is correct |
60 |
Correct |
47 ms |
11936 KB |
Output is correct |
61 |
Correct |
34 ms |
12028 KB |
Output is correct |
62 |
Correct |
41 ms |
12068 KB |
Output is correct |
63 |
Correct |
40 ms |
12020 KB |
Output is correct |
64 |
Correct |
29 ms |
11764 KB |
Output is correct |
65 |
Correct |
39 ms |
12016 KB |
Output is correct |
66 |
Correct |
39 ms |
12020 KB |
Output is correct |
67 |
Correct |
46 ms |
12024 KB |
Output is correct |
68 |
Correct |
39 ms |
11828 KB |
Output is correct |
69 |
Correct |
38 ms |
12024 KB |
Output is correct |
70 |
Correct |
39 ms |
11864 KB |
Output is correct |
71 |
Correct |
321 ms |
31836 KB |
Output is correct |
72 |
Correct |
393 ms |
31520 KB |
Output is correct |
73 |
Correct |
389 ms |
29908 KB |
Output is correct |
74 |
Correct |
568 ms |
30384 KB |
Output is correct |
75 |
Correct |
357 ms |
32596 KB |
Output is correct |
76 |
Correct |
529 ms |
30760 KB |
Output is correct |
77 |
Correct |
458 ms |
30616 KB |
Output is correct |
78 |
Correct |
223 ms |
34396 KB |
Output is correct |
79 |
Correct |
335 ms |
28432 KB |
Output is correct |
80 |
Correct |
337 ms |
31476 KB |
Output is correct |
81 |
Correct |
432 ms |
31476 KB |
Output is correct |
82 |
Correct |
555 ms |
30352 KB |
Output is correct |
83 |
Correct |
408 ms |
29812 KB |
Output is correct |
84 |
Correct |
474 ms |
24724 KB |
Output is correct |
85 |
Correct |
452 ms |
24832 KB |
Output is correct |
86 |
Correct |
233 ms |
22816 KB |
Output is correct |
87 |
Correct |
306 ms |
25844 KB |
Output is correct |
88 |
Correct |
317 ms |
22812 KB |
Output is correct |
89 |
Correct |
416 ms |
24448 KB |
Output is correct |
90 |
Correct |
481 ms |
24692 KB |
Output is correct |
91 |
Correct |
338 ms |
24220 KB |
Output is correct |
92 |
Correct |
510 ms |
25060 KB |
Output is correct |
93 |
Correct |
476 ms |
24820 KB |
Output is correct |
94 |
Correct |
226 ms |
22700 KB |
Output is correct |
95 |
Correct |
413 ms |
25012 KB |
Output is correct |
96 |
Correct |
422 ms |
24788 KB |
Output is correct |
97 |
Correct |
408 ms |
24676 KB |
Output is correct |
98 |
Correct |
468 ms |
24924 KB |
Output is correct |
99 |
Correct |
409 ms |
24908 KB |
Output is correct |
100 |
Correct |
454 ms |
24760 KB |
Output is correct |