#include<bits/stdc++.h>
#define mp make_pair
#define fi first
#define se second
#define ii pair<int, int>
#define iii pair<ii, int>
#define ll long long
#define pb push_back
#define pli pair<ll, int>
#define all(v) (v).begin(), (v).end()
#define uniquev(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define cntbit(mask) __builtin_popcount(mask)
#define getbit(x, i) ((x >> i) & 1)
#define MASK(i) (1 << i)
#define pli pair<ll, int>
using namespace std;
template<class T1, class T2>
bool maximize(T1 &a, T2 b){if(a < b){a = b; return 1;} return 0;}
template<class T1, class T2>
bool minimize(T1 &a, T2 b){if(a > b){a = b; return 1;} return 0;}
const int N = 1e5 + 5;
const int V = 1e6 + 5;
const int MOD = 1e9 + 7;
int n, q, cost[MASK(20) + 5], p[MASK(20) + 5];
string s;
void solve() {
cin >> n >> q;
cin >> s;
for(int i = 0 ; i < (1 << n) ; i++) p[i] = cost[i] = (s[i] - '0');
for(int i = 0 ; i < n ; i++)
for(int mask = 0 ; mask < (1 << n) ; mask++)
if (getbit(mask, i)) cost[mask] += cost[mask ^ MASK(i)];
for(int i = 0 ; i < q ; i++) {
string t; cin >> t;
reverse(all(t));
int mask1, mask2;
mask1 = mask2 = 0;
for(int i = 0 ; i < n ; i++)
if (t[i] == '1') mask1 |= MASK(i);
else if (t[i] == '?') mask2 |= MASK(i);
int ans = 0;
if (cntbit(mask2) <= 10) {
for(int submask = mask2 ; submask >= 0 ; submask = (submask - 1) & mask2) {
ans += p[mask1 + submask];
if (submask == 0) break;
}
} else {
int c = cntbit(mask1);
for(int submask = mask1 ; submask >= 0 ; submask = (submask - 1) & mask1) {
if (cntbit(submask) % 2 == c % 2) ans += cost[submask + mask2];
else ans -= cost[submask + mask2];
if (submask == 0) break;
}
}
cout << ans << '\n';
}
}
int main(void) {
//freopen("task.inp", "r", stdin);
//freopen("task.out", "w", stdout);
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
int t = 1; while(t--) solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
195 ms |
14944 KB |
Output is correct |
12 |
Correct |
184 ms |
14460 KB |
Output is correct |
13 |
Correct |
136 ms |
13704 KB |
Output is correct |
14 |
Correct |
174 ms |
13840 KB |
Output is correct |
15 |
Correct |
177 ms |
14932 KB |
Output is correct |
16 |
Correct |
164 ms |
14020 KB |
Output is correct |
17 |
Correct |
180 ms |
14032 KB |
Output is correct |
18 |
Correct |
1083 ms |
15956 KB |
Output is correct |
19 |
Correct |
137 ms |
12824 KB |
Output is correct |
20 |
Correct |
193 ms |
14528 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
195 ms |
14944 KB |
Output is correct |
12 |
Correct |
184 ms |
14460 KB |
Output is correct |
13 |
Correct |
136 ms |
13704 KB |
Output is correct |
14 |
Correct |
174 ms |
13840 KB |
Output is correct |
15 |
Correct |
177 ms |
14932 KB |
Output is correct |
16 |
Correct |
164 ms |
14020 KB |
Output is correct |
17 |
Correct |
180 ms |
14032 KB |
Output is correct |
18 |
Correct |
1083 ms |
15956 KB |
Output is correct |
19 |
Correct |
137 ms |
12824 KB |
Output is correct |
20 |
Correct |
193 ms |
14528 KB |
Output is correct |
21 |
Correct |
279 ms |
17728 KB |
Output is correct |
22 |
Correct |
274 ms |
18360 KB |
Output is correct |
23 |
Correct |
153 ms |
17236 KB |
Output is correct |
24 |
Correct |
155 ms |
17232 KB |
Output is correct |
25 |
Correct |
407 ms |
19136 KB |
Output is correct |
26 |
Correct |
240 ms |
17556 KB |
Output is correct |
27 |
Correct |
231 ms |
17540 KB |
Output is correct |
28 |
Correct |
134 ms |
20048 KB |
Output is correct |
29 |
Correct |
156 ms |
16052 KB |
Output is correct |
30 |
Correct |
339 ms |
18256 KB |
Output is correct |
31 |
Correct |
208 ms |
17996 KB |
Output is correct |
32 |
Correct |
180 ms |
18004 KB |
Output is correct |
33 |
Correct |
171 ms |
17088 KB |
Output is correct |
34 |
Correct |
177 ms |
17236 KB |
Output is correct |
35 |
Correct |
208 ms |
17496 KB |
Output is correct |
36 |
Correct |
126 ms |
15976 KB |
Output is correct |
37 |
Correct |
172 ms |
18116 KB |
Output is correct |
38 |
Correct |
171 ms |
16212 KB |
Output is correct |
39 |
Correct |
176 ms |
17232 KB |
Output is correct |
40 |
Correct |
156 ms |
17232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
94 ms |
12020 KB |
Output is correct |
12 |
Correct |
60 ms |
12016 KB |
Output is correct |
13 |
Correct |
35 ms |
11944 KB |
Output is correct |
14 |
Correct |
41 ms |
12016 KB |
Output is correct |
15 |
Correct |
32 ms |
12016 KB |
Output is correct |
16 |
Correct |
49 ms |
11908 KB |
Output is correct |
17 |
Correct |
45 ms |
12008 KB |
Output is correct |
18 |
Correct |
32 ms |
12024 KB |
Output is correct |
19 |
Correct |
34 ms |
12028 KB |
Output is correct |
20 |
Correct |
72 ms |
12020 KB |
Output is correct |
21 |
Correct |
103 ms |
12020 KB |
Output is correct |
22 |
Correct |
41 ms |
12016 KB |
Output is correct |
23 |
Correct |
33 ms |
11764 KB |
Output is correct |
24 |
Correct |
45 ms |
12128 KB |
Output is correct |
25 |
Correct |
45 ms |
11956 KB |
Output is correct |
26 |
Correct |
28 ms |
11856 KB |
Output is correct |
27 |
Correct |
108 ms |
12020 KB |
Output is correct |
28 |
Correct |
38 ms |
11812 KB |
Output is correct |
29 |
Correct |
39 ms |
12020 KB |
Output is correct |
30 |
Correct |
39 ms |
12016 KB |
Output is correct |
31 |
Correct |
34 ms |
11760 KB |
Output is correct |
32 |
Correct |
52 ms |
12020 KB |
Output is correct |
33 |
Correct |
59 ms |
11964 KB |
Output is correct |
34 |
Correct |
31 ms |
11772 KB |
Output is correct |
35 |
Correct |
73 ms |
12016 KB |
Output is correct |
36 |
Correct |
50 ms |
12012 KB |
Output is correct |
37 |
Correct |
59 ms |
12016 KB |
Output is correct |
38 |
Correct |
52 ms |
12016 KB |
Output is correct |
39 |
Correct |
48 ms |
12016 KB |
Output is correct |
40 |
Correct |
69 ms |
12020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
195 ms |
14944 KB |
Output is correct |
12 |
Correct |
184 ms |
14460 KB |
Output is correct |
13 |
Correct |
136 ms |
13704 KB |
Output is correct |
14 |
Correct |
174 ms |
13840 KB |
Output is correct |
15 |
Correct |
177 ms |
14932 KB |
Output is correct |
16 |
Correct |
164 ms |
14020 KB |
Output is correct |
17 |
Correct |
180 ms |
14032 KB |
Output is correct |
18 |
Correct |
1083 ms |
15956 KB |
Output is correct |
19 |
Correct |
137 ms |
12824 KB |
Output is correct |
20 |
Correct |
193 ms |
14528 KB |
Output is correct |
21 |
Correct |
279 ms |
17728 KB |
Output is correct |
22 |
Correct |
274 ms |
18360 KB |
Output is correct |
23 |
Correct |
153 ms |
17236 KB |
Output is correct |
24 |
Correct |
155 ms |
17232 KB |
Output is correct |
25 |
Correct |
407 ms |
19136 KB |
Output is correct |
26 |
Correct |
240 ms |
17556 KB |
Output is correct |
27 |
Correct |
231 ms |
17540 KB |
Output is correct |
28 |
Correct |
134 ms |
20048 KB |
Output is correct |
29 |
Correct |
156 ms |
16052 KB |
Output is correct |
30 |
Correct |
339 ms |
18256 KB |
Output is correct |
31 |
Correct |
208 ms |
17996 KB |
Output is correct |
32 |
Correct |
180 ms |
18004 KB |
Output is correct |
33 |
Correct |
171 ms |
17088 KB |
Output is correct |
34 |
Correct |
177 ms |
17236 KB |
Output is correct |
35 |
Correct |
208 ms |
17496 KB |
Output is correct |
36 |
Correct |
126 ms |
15976 KB |
Output is correct |
37 |
Correct |
172 ms |
18116 KB |
Output is correct |
38 |
Correct |
171 ms |
16212 KB |
Output is correct |
39 |
Correct |
176 ms |
17232 KB |
Output is correct |
40 |
Correct |
156 ms |
17232 KB |
Output is correct |
41 |
Correct |
94 ms |
12020 KB |
Output is correct |
42 |
Correct |
60 ms |
12016 KB |
Output is correct |
43 |
Correct |
35 ms |
11944 KB |
Output is correct |
44 |
Correct |
41 ms |
12016 KB |
Output is correct |
45 |
Correct |
32 ms |
12016 KB |
Output is correct |
46 |
Correct |
49 ms |
11908 KB |
Output is correct |
47 |
Correct |
45 ms |
12008 KB |
Output is correct |
48 |
Correct |
32 ms |
12024 KB |
Output is correct |
49 |
Correct |
34 ms |
12028 KB |
Output is correct |
50 |
Correct |
72 ms |
12020 KB |
Output is correct |
51 |
Correct |
103 ms |
12020 KB |
Output is correct |
52 |
Correct |
41 ms |
12016 KB |
Output is correct |
53 |
Correct |
33 ms |
11764 KB |
Output is correct |
54 |
Correct |
45 ms |
12128 KB |
Output is correct |
55 |
Correct |
45 ms |
11956 KB |
Output is correct |
56 |
Correct |
28 ms |
11856 KB |
Output is correct |
57 |
Correct |
108 ms |
12020 KB |
Output is correct |
58 |
Correct |
38 ms |
11812 KB |
Output is correct |
59 |
Correct |
39 ms |
12020 KB |
Output is correct |
60 |
Correct |
39 ms |
12016 KB |
Output is correct |
61 |
Correct |
34 ms |
11760 KB |
Output is correct |
62 |
Correct |
52 ms |
12020 KB |
Output is correct |
63 |
Correct |
59 ms |
11964 KB |
Output is correct |
64 |
Correct |
31 ms |
11772 KB |
Output is correct |
65 |
Correct |
73 ms |
12016 KB |
Output is correct |
66 |
Correct |
50 ms |
12012 KB |
Output is correct |
67 |
Correct |
59 ms |
12016 KB |
Output is correct |
68 |
Correct |
52 ms |
12016 KB |
Output is correct |
69 |
Correct |
48 ms |
12016 KB |
Output is correct |
70 |
Correct |
69 ms |
12020 KB |
Output is correct |
71 |
Correct |
1559 ms |
36188 KB |
Output is correct |
72 |
Correct |
613 ms |
36336 KB |
Output is correct |
73 |
Correct |
304 ms |
34884 KB |
Output is correct |
74 |
Correct |
464 ms |
35312 KB |
Output is correct |
75 |
Correct |
275 ms |
37360 KB |
Output is correct |
76 |
Correct |
549 ms |
35568 KB |
Output is correct |
77 |
Correct |
624 ms |
35308 KB |
Output is correct |
78 |
Correct |
203 ms |
39388 KB |
Output is correct |
79 |
Correct |
260 ms |
33272 KB |
Output is correct |
80 |
Correct |
1103 ms |
36480 KB |
Output is correct |
81 |
Correct |
1625 ms |
36192 KB |
Output is correct |
82 |
Correct |
451 ms |
35152 KB |
Output is correct |
83 |
Correct |
252 ms |
34436 KB |
Output is correct |
84 |
Correct |
337 ms |
35140 KB |
Output is correct |
85 |
Correct |
530 ms |
35364 KB |
Output is correct |
86 |
Correct |
170 ms |
33268 KB |
Output is correct |
87 |
Correct |
1549 ms |
36256 KB |
Output is correct |
88 |
Correct |
282 ms |
33140 KB |
Output is correct |
89 |
Correct |
388 ms |
35060 KB |
Output is correct |
90 |
Correct |
359 ms |
35316 KB |
Output is correct |
91 |
Correct |
241 ms |
34296 KB |
Output is correct |
92 |
Correct |
571 ms |
35572 KB |
Output is correct |
93 |
Correct |
555 ms |
35404 KB |
Output is correct |
94 |
Correct |
166 ms |
33100 KB |
Output is correct |
95 |
Correct |
600 ms |
35308 KB |
Output is correct |
96 |
Correct |
569 ms |
35200 KB |
Output is correct |
97 |
Correct |
565 ms |
35296 KB |
Output is correct |
98 |
Correct |
550 ms |
35412 KB |
Output is correct |
99 |
Correct |
594 ms |
35312 KB |
Output is correct |
100 |
Correct |
556 ms |
35316 KB |
Output is correct |