#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 1<<20;
int L,Q, dp[2][MX];
short pc[MX], val[MX];
void init() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> L >> Q;
FOR(i,1,MX) pc[i] = pc[i-(i&-i)]+1;
string S; cin >> S;
F0R(i,1<<L) dp[1][i] = dp[0][(1<<L)-1-i] = val[i] = S[i]-'0';
F0R(i,L) F0R(j,1<<L) if (j&(1<<i))
F0R(k,2) dp[k][j] += dp[k][j^(1<<i)];
}
int solve(const string& T) {
int a = 0, b = 0, c = 0;
F0R(i,sz(T)) {
switch(T[sz(T)-1-i]) {
case '0':
a ^= 1<<i;
break;
case '1':
b ^= 1<<i;
break;
default:
c ^= 1<<i;
break;
}
}
int ans = 0;
int mn = min(min(pc[a],pc[b]),pc[c]);
if (pc[a] == mn) {
for (int m = a; ; m = (m-1)&a) {
if ((pc[a]-pc[m])&1) ans -= dp[0][m|c];
else ans += dp[0][m|c];
if (m == 0) break;
}
} else if (pc[b] == mn) {
for (int m = b; ; m = (m-1)&b) {
if ((pc[b]-pc[m])&1) ans -= dp[1][m|c];
else ans += dp[1][m|c];
if (m == 0) break;
}
} else {
for (int m = c; ; m = (m-1)&c) {
ans += val[m|b];
if (m == 0) break;
}
}
return ans;
}
int main() {
init();
F0R(i,Q) {
string T; cin >> T;
cout << solve(T) << "\n";
}
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2380 KB |
Output is correct |
2 |
Correct |
3 ms |
2380 KB |
Output is correct |
3 |
Correct |
4 ms |
2376 KB |
Output is correct |
4 |
Correct |
3 ms |
2380 KB |
Output is correct |
5 |
Correct |
4 ms |
2380 KB |
Output is correct |
6 |
Correct |
3 ms |
2372 KB |
Output is correct |
7 |
Correct |
3 ms |
2292 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
3 ms |
2380 KB |
Output is correct |
10 |
Correct |
4 ms |
2340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2380 KB |
Output is correct |
2 |
Correct |
3 ms |
2380 KB |
Output is correct |
3 |
Correct |
4 ms |
2376 KB |
Output is correct |
4 |
Correct |
3 ms |
2380 KB |
Output is correct |
5 |
Correct |
4 ms |
2380 KB |
Output is correct |
6 |
Correct |
3 ms |
2372 KB |
Output is correct |
7 |
Correct |
3 ms |
2292 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
3 ms |
2380 KB |
Output is correct |
10 |
Correct |
4 ms |
2340 KB |
Output is correct |
11 |
Correct |
244 ms |
10860 KB |
Output is correct |
12 |
Correct |
258 ms |
10576 KB |
Output is correct |
13 |
Correct |
277 ms |
9812 KB |
Output is correct |
14 |
Correct |
276 ms |
9816 KB |
Output is correct |
15 |
Correct |
255 ms |
10808 KB |
Output is correct |
16 |
Correct |
290 ms |
10008 KB |
Output is correct |
17 |
Correct |
316 ms |
10052 KB |
Output is correct |
18 |
Correct |
211 ms |
11848 KB |
Output is correct |
19 |
Correct |
233 ms |
8792 KB |
Output is correct |
20 |
Correct |
259 ms |
10488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2380 KB |
Output is correct |
2 |
Correct |
3 ms |
2380 KB |
Output is correct |
3 |
Correct |
4 ms |
2376 KB |
Output is correct |
4 |
Correct |
3 ms |
2380 KB |
Output is correct |
5 |
Correct |
4 ms |
2380 KB |
Output is correct |
6 |
Correct |
3 ms |
2372 KB |
Output is correct |
7 |
Correct |
3 ms |
2292 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
3 ms |
2380 KB |
Output is correct |
10 |
Correct |
4 ms |
2340 KB |
Output is correct |
11 |
Correct |
244 ms |
10860 KB |
Output is correct |
12 |
Correct |
258 ms |
10576 KB |
Output is correct |
13 |
Correct |
277 ms |
9812 KB |
Output is correct |
14 |
Correct |
276 ms |
9816 KB |
Output is correct |
15 |
Correct |
255 ms |
10808 KB |
Output is correct |
16 |
Correct |
290 ms |
10008 KB |
Output is correct |
17 |
Correct |
316 ms |
10052 KB |
Output is correct |
18 |
Correct |
211 ms |
11848 KB |
Output is correct |
19 |
Correct |
233 ms |
8792 KB |
Output is correct |
20 |
Correct |
259 ms |
10488 KB |
Output is correct |
21 |
Correct |
265 ms |
10436 KB |
Output is correct |
22 |
Correct |
306 ms |
10652 KB |
Output is correct |
23 |
Correct |
314 ms |
9600 KB |
Output is correct |
24 |
Correct |
336 ms |
9412 KB |
Output is correct |
25 |
Correct |
285 ms |
11492 KB |
Output is correct |
26 |
Correct |
381 ms |
9988 KB |
Output is correct |
27 |
Correct |
362 ms |
9924 KB |
Output is correct |
28 |
Correct |
242 ms |
12484 KB |
Output is correct |
29 |
Correct |
284 ms |
8388 KB |
Output is correct |
30 |
Correct |
295 ms |
10616 KB |
Output is correct |
31 |
Correct |
332 ms |
10564 KB |
Output is correct |
32 |
Correct |
430 ms |
10540 KB |
Output is correct |
33 |
Correct |
272 ms |
9436 KB |
Output is correct |
34 |
Correct |
331 ms |
9532 KB |
Output is correct |
35 |
Correct |
336 ms |
10040 KB |
Output is correct |
36 |
Correct |
201 ms |
8672 KB |
Output is correct |
37 |
Correct |
263 ms |
10640 KB |
Output is correct |
38 |
Correct |
276 ms |
8680 KB |
Output is correct |
39 |
Correct |
324 ms |
9872 KB |
Output is correct |
40 |
Correct |
326 ms |
9684 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2380 KB |
Output is correct |
2 |
Correct |
3 ms |
2380 KB |
Output is correct |
3 |
Correct |
4 ms |
2376 KB |
Output is correct |
4 |
Correct |
3 ms |
2380 KB |
Output is correct |
5 |
Correct |
4 ms |
2380 KB |
Output is correct |
6 |
Correct |
3 ms |
2372 KB |
Output is correct |
7 |
Correct |
3 ms |
2292 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
3 ms |
2380 KB |
Output is correct |
10 |
Correct |
4 ms |
2340 KB |
Output is correct |
11 |
Correct |
55 ms |
15052 KB |
Output is correct |
12 |
Correct |
61 ms |
15036 KB |
Output is correct |
13 |
Correct |
74 ms |
14952 KB |
Output is correct |
14 |
Correct |
73 ms |
14960 KB |
Output is correct |
15 |
Correct |
57 ms |
15040 KB |
Output is correct |
16 |
Correct |
83 ms |
14964 KB |
Output is correct |
17 |
Correct |
79 ms |
14960 KB |
Output is correct |
18 |
Correct |
46 ms |
15180 KB |
Output is correct |
19 |
Correct |
59 ms |
15048 KB |
Output is correct |
20 |
Correct |
56 ms |
15040 KB |
Output is correct |
21 |
Correct |
71 ms |
14960 KB |
Output is correct |
22 |
Correct |
92 ms |
15024 KB |
Output is correct |
23 |
Correct |
59 ms |
14960 KB |
Output is correct |
24 |
Correct |
85 ms |
14960 KB |
Output is correct |
25 |
Correct |
92 ms |
14960 KB |
Output is correct |
26 |
Correct |
45 ms |
14960 KB |
Output is correct |
27 |
Correct |
98 ms |
14960 KB |
Output is correct |
28 |
Correct |
54 ms |
14960 KB |
Output is correct |
29 |
Correct |
64 ms |
14960 KB |
Output is correct |
30 |
Correct |
67 ms |
15052 KB |
Output is correct |
31 |
Correct |
58 ms |
14960 KB |
Output is correct |
32 |
Correct |
87 ms |
14960 KB |
Output is correct |
33 |
Correct |
81 ms |
14972 KB |
Output is correct |
34 |
Correct |
46 ms |
15052 KB |
Output is correct |
35 |
Correct |
70 ms |
14964 KB |
Output is correct |
36 |
Correct |
70 ms |
14960 KB |
Output is correct |
37 |
Correct |
74 ms |
15040 KB |
Output is correct |
38 |
Correct |
87 ms |
15024 KB |
Output is correct |
39 |
Correct |
91 ms |
14968 KB |
Output is correct |
40 |
Correct |
76 ms |
15064 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
2380 KB |
Output is correct |
2 |
Correct |
3 ms |
2380 KB |
Output is correct |
3 |
Correct |
4 ms |
2376 KB |
Output is correct |
4 |
Correct |
3 ms |
2380 KB |
Output is correct |
5 |
Correct |
4 ms |
2380 KB |
Output is correct |
6 |
Correct |
3 ms |
2372 KB |
Output is correct |
7 |
Correct |
3 ms |
2292 KB |
Output is correct |
8 |
Correct |
3 ms |
2380 KB |
Output is correct |
9 |
Correct |
3 ms |
2380 KB |
Output is correct |
10 |
Correct |
4 ms |
2340 KB |
Output is correct |
11 |
Correct |
244 ms |
10860 KB |
Output is correct |
12 |
Correct |
258 ms |
10576 KB |
Output is correct |
13 |
Correct |
277 ms |
9812 KB |
Output is correct |
14 |
Correct |
276 ms |
9816 KB |
Output is correct |
15 |
Correct |
255 ms |
10808 KB |
Output is correct |
16 |
Correct |
290 ms |
10008 KB |
Output is correct |
17 |
Correct |
316 ms |
10052 KB |
Output is correct |
18 |
Correct |
211 ms |
11848 KB |
Output is correct |
19 |
Correct |
233 ms |
8792 KB |
Output is correct |
20 |
Correct |
259 ms |
10488 KB |
Output is correct |
21 |
Correct |
265 ms |
10436 KB |
Output is correct |
22 |
Correct |
306 ms |
10652 KB |
Output is correct |
23 |
Correct |
314 ms |
9600 KB |
Output is correct |
24 |
Correct |
336 ms |
9412 KB |
Output is correct |
25 |
Correct |
285 ms |
11492 KB |
Output is correct |
26 |
Correct |
381 ms |
9988 KB |
Output is correct |
27 |
Correct |
362 ms |
9924 KB |
Output is correct |
28 |
Correct |
242 ms |
12484 KB |
Output is correct |
29 |
Correct |
284 ms |
8388 KB |
Output is correct |
30 |
Correct |
295 ms |
10616 KB |
Output is correct |
31 |
Correct |
332 ms |
10564 KB |
Output is correct |
32 |
Correct |
430 ms |
10540 KB |
Output is correct |
33 |
Correct |
272 ms |
9436 KB |
Output is correct |
34 |
Correct |
331 ms |
9532 KB |
Output is correct |
35 |
Correct |
336 ms |
10040 KB |
Output is correct |
36 |
Correct |
201 ms |
8672 KB |
Output is correct |
37 |
Correct |
263 ms |
10640 KB |
Output is correct |
38 |
Correct |
276 ms |
8680 KB |
Output is correct |
39 |
Correct |
324 ms |
9872 KB |
Output is correct |
40 |
Correct |
326 ms |
9684 KB |
Output is correct |
41 |
Correct |
55 ms |
15052 KB |
Output is correct |
42 |
Correct |
61 ms |
15036 KB |
Output is correct |
43 |
Correct |
74 ms |
14952 KB |
Output is correct |
44 |
Correct |
73 ms |
14960 KB |
Output is correct |
45 |
Correct |
57 ms |
15040 KB |
Output is correct |
46 |
Correct |
83 ms |
14964 KB |
Output is correct |
47 |
Correct |
79 ms |
14960 KB |
Output is correct |
48 |
Correct |
46 ms |
15180 KB |
Output is correct |
49 |
Correct |
59 ms |
15048 KB |
Output is correct |
50 |
Correct |
56 ms |
15040 KB |
Output is correct |
51 |
Correct |
71 ms |
14960 KB |
Output is correct |
52 |
Correct |
92 ms |
15024 KB |
Output is correct |
53 |
Correct |
59 ms |
14960 KB |
Output is correct |
54 |
Correct |
85 ms |
14960 KB |
Output is correct |
55 |
Correct |
92 ms |
14960 KB |
Output is correct |
56 |
Correct |
45 ms |
14960 KB |
Output is correct |
57 |
Correct |
98 ms |
14960 KB |
Output is correct |
58 |
Correct |
54 ms |
14960 KB |
Output is correct |
59 |
Correct |
64 ms |
14960 KB |
Output is correct |
60 |
Correct |
67 ms |
15052 KB |
Output is correct |
61 |
Correct |
58 ms |
14960 KB |
Output is correct |
62 |
Correct |
87 ms |
14960 KB |
Output is correct |
63 |
Correct |
81 ms |
14972 KB |
Output is correct |
64 |
Correct |
46 ms |
15052 KB |
Output is correct |
65 |
Correct |
70 ms |
14964 KB |
Output is correct |
66 |
Correct |
70 ms |
14960 KB |
Output is correct |
67 |
Correct |
74 ms |
15040 KB |
Output is correct |
68 |
Correct |
87 ms |
15024 KB |
Output is correct |
69 |
Correct |
91 ms |
14968 KB |
Output is correct |
70 |
Correct |
76 ms |
15064 KB |
Output is correct |
71 |
Correct |
460 ms |
18696 KB |
Output is correct |
72 |
Correct |
484 ms |
18688 KB |
Output is correct |
73 |
Correct |
689 ms |
17148 KB |
Output is correct |
74 |
Correct |
901 ms |
17404 KB |
Output is correct |
75 |
Correct |
534 ms |
19504 KB |
Output is correct |
76 |
Correct |
899 ms |
17812 KB |
Output is correct |
77 |
Correct |
996 ms |
17644 KB |
Output is correct |
78 |
Correct |
306 ms |
21424 KB |
Output is correct |
79 |
Correct |
422 ms |
15576 KB |
Output is correct |
80 |
Correct |
477 ms |
18552 KB |
Output is correct |
81 |
Correct |
696 ms |
18452 KB |
Output is correct |
82 |
Correct |
812 ms |
17488 KB |
Output is correct |
83 |
Correct |
444 ms |
16592 KB |
Output is correct |
84 |
Correct |
1130 ms |
17444 KB |
Output is correct |
85 |
Correct |
1014 ms |
17668 KB |
Output is correct |
86 |
Correct |
284 ms |
15520 KB |
Output is correct |
87 |
Correct |
456 ms |
18436 KB |
Output is correct |
88 |
Correct |
472 ms |
15348 KB |
Output is correct |
89 |
Correct |
714 ms |
17096 KB |
Output is correct |
90 |
Correct |
579 ms |
17404 KB |
Output is correct |
91 |
Correct |
532 ms |
16624 KB |
Output is correct |
92 |
Correct |
1107 ms |
17788 KB |
Output is correct |
93 |
Correct |
908 ms |
17544 KB |
Output is correct |
94 |
Correct |
291 ms |
15568 KB |
Output is correct |
95 |
Correct |
807 ms |
17616 KB |
Output is correct |
96 |
Correct |
818 ms |
17504 KB |
Output is correct |
97 |
Correct |
836 ms |
17544 KB |
Output is correct |
98 |
Correct |
803 ms |
17424 KB |
Output is correct |
99 |
Correct |
795 ms |
17540 KB |
Output is correct |
100 |
Correct |
772 ms |
17488 KB |
Output is correct |