// In the name of Allah
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(),(x).end()
#define len(x) ((ll) (x).size())
#define F first
#define S second
#define pb push_back
#define sep ' '
#define endl '\n'
#define Mp make_pair
#define debug(x) cerr << #x << ": " << x << endl;
#define kill(x) cout << x << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define file_io(x,y) freopen(x, "r", stdin); freopen(y, "w", stdout);
int n, k, q;
const int maxk = 20;
const int maxn = (1 << 20) + 3;
string s;
int a[maxn];
int dp1[maxn], dp2[maxn];
int main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> k >> q;
n = (1 << k);
cin >> s;
for (int i = 0; i < n; i++) {
a[i] = s[i] - '0';
}
for (int i = 0; i <= k; i++) {
for (int mask = n - 1; mask >= 0; mask--) {
if (i == 0) {
dp1[mask] = a[mask];
continue;
}
if (mask & (1 << (i - 1))) dp1[mask] += dp1[mask ^ (1 << (i - 1))];
}
}
for (int i = 0; i <= k; i++) {
for (int mask = 0; mask < n; mask++) {
if (i == 0) {
dp2[mask] = a[mask];
continue;
}
if (!(mask & (1 << (i - 1)))) dp2[mask] += dp2[mask ^ (1 << (i - 1))];
}
}
while (q--) {
cin >> s;
int t0 = 0, t1 = 0, t2 = 0;
int val0 = 0, val1 = 0, val2 = 0;
for (int i = 0; i < k; i++) {
if (s[i] == '0') {
t0++;
val0 += (1 << (k - i - 1));
}
else if (s[i] == '1') {
t1++;
val1 += (1 << (k - i - 1));
}
else {
t2++;
val2 += (1 << (k - i - 1));
}
}
int tm = min(min(t0, t1), t2);
ll output = 0;
if (tm == t0) {
for (int mask = val0; mask >= 0; mask = (mask - 1) & val0) {
int t = __builtin_popcount(mask);
if (t % 2 == 0) output += dp2[val1 ^ mask];
else output -= dp2[val1 ^ mask];
if (mask == 0) break;
}
}
else if (tm == t1) {
for (int mask = val1; mask >= 0; mask = (mask - 1) & val1) {
int t = __builtin_popcount(mask);
if (t % 2 == 0) output += dp1[val2 ^ (val1 ^ mask)];
else output -= dp1[val2 ^ (val1 ^ mask)];
if (mask == 0) break;
}
}
else {
for (int mask = val2; mask >= 0; mask = (mask - 1) & val2) {
output += a[val1 ^ mask];
if (mask == 0) break;
}
}
cout << output << endl;
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
201 ms |
15060 KB |
Output is correct |
12 |
Correct |
227 ms |
14704 KB |
Output is correct |
13 |
Correct |
247 ms |
13896 KB |
Output is correct |
14 |
Correct |
253 ms |
14052 KB |
Output is correct |
15 |
Correct |
221 ms |
15000 KB |
Output is correct |
16 |
Correct |
247 ms |
14164 KB |
Output is correct |
17 |
Correct |
249 ms |
14220 KB |
Output is correct |
18 |
Correct |
156 ms |
16120 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
210 ms |
14656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
201 ms |
15060 KB |
Output is correct |
12 |
Correct |
227 ms |
14704 KB |
Output is correct |
13 |
Correct |
247 ms |
13896 KB |
Output is correct |
14 |
Correct |
253 ms |
14052 KB |
Output is correct |
15 |
Correct |
221 ms |
15000 KB |
Output is correct |
16 |
Correct |
247 ms |
14164 KB |
Output is correct |
17 |
Correct |
249 ms |
14220 KB |
Output is correct |
18 |
Correct |
156 ms |
16120 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
210 ms |
14656 KB |
Output is correct |
21 |
Correct |
224 ms |
18060 KB |
Output is correct |
22 |
Correct |
223 ms |
18292 KB |
Output is correct |
23 |
Correct |
271 ms |
17208 KB |
Output is correct |
24 |
Correct |
297 ms |
17136 KB |
Output is correct |
25 |
Correct |
230 ms |
19104 KB |
Output is correct |
26 |
Correct |
279 ms |
17604 KB |
Output is correct |
27 |
Correct |
284 ms |
17652 KB |
Output is correct |
28 |
Correct |
166 ms |
20032 KB |
Output is correct |
29 |
Correct |
214 ms |
16124 KB |
Output is correct |
30 |
Correct |
221 ms |
18268 KB |
Output is correct |
31 |
Correct |
282 ms |
18168 KB |
Output is correct |
32 |
Correct |
292 ms |
18128 KB |
Output is correct |
33 |
Correct |
240 ms |
17076 KB |
Output is correct |
34 |
Correct |
297 ms |
17068 KB |
Output is correct |
35 |
Correct |
283 ms |
17488 KB |
Output is correct |
36 |
Correct |
184 ms |
16116 KB |
Output is correct |
37 |
Correct |
217 ms |
18036 KB |
Output is correct |
38 |
Correct |
216 ms |
16116 KB |
Output is correct |
39 |
Correct |
261 ms |
17316 KB |
Output is correct |
40 |
Correct |
311 ms |
17028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
66 ms |
15980 KB |
Output is correct |
12 |
Correct |
63 ms |
16064 KB |
Output is correct |
13 |
Correct |
74 ms |
15888 KB |
Output is correct |
14 |
Correct |
88 ms |
15980 KB |
Output is correct |
15 |
Correct |
65 ms |
16060 KB |
Output is correct |
16 |
Correct |
101 ms |
15956 KB |
Output is correct |
17 |
Correct |
78 ms |
16016 KB |
Output is correct |
18 |
Correct |
56 ms |
16136 KB |
Output is correct |
19 |
Correct |
62 ms |
15808 KB |
Output is correct |
20 |
Correct |
60 ms |
16060 KB |
Output is correct |
21 |
Correct |
75 ms |
16060 KB |
Output is correct |
22 |
Correct |
71 ms |
15940 KB |
Output is correct |
23 |
Correct |
60 ms |
15936 KB |
Output is correct |
24 |
Correct |
91 ms |
15932 KB |
Output is correct |
25 |
Correct |
78 ms |
15944 KB |
Output is correct |
26 |
Correct |
54 ms |
15880 KB |
Output is correct |
27 |
Correct |
60 ms |
16064 KB |
Output is correct |
28 |
Correct |
62 ms |
15820 KB |
Output is correct |
29 |
Correct |
65 ms |
15912 KB |
Output is correct |
30 |
Correct |
67 ms |
16032 KB |
Output is correct |
31 |
Correct |
63 ms |
15940 KB |
Output is correct |
32 |
Correct |
93 ms |
15936 KB |
Output is correct |
33 |
Correct |
100 ms |
16036 KB |
Output is correct |
34 |
Correct |
56 ms |
15812 KB |
Output is correct |
35 |
Correct |
76 ms |
15932 KB |
Output is correct |
36 |
Correct |
75 ms |
15948 KB |
Output is correct |
37 |
Correct |
78 ms |
15964 KB |
Output is correct |
38 |
Correct |
78 ms |
16112 KB |
Output is correct |
39 |
Correct |
79 ms |
15952 KB |
Output is correct |
40 |
Correct |
84 ms |
15940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
201 ms |
15060 KB |
Output is correct |
12 |
Correct |
227 ms |
14704 KB |
Output is correct |
13 |
Correct |
247 ms |
13896 KB |
Output is correct |
14 |
Correct |
253 ms |
14052 KB |
Output is correct |
15 |
Correct |
221 ms |
15000 KB |
Output is correct |
16 |
Correct |
247 ms |
14164 KB |
Output is correct |
17 |
Correct |
249 ms |
14220 KB |
Output is correct |
18 |
Correct |
156 ms |
16120 KB |
Output is correct |
19 |
Correct |
187 ms |
13000 KB |
Output is correct |
20 |
Correct |
210 ms |
14656 KB |
Output is correct |
21 |
Correct |
224 ms |
18060 KB |
Output is correct |
22 |
Correct |
223 ms |
18292 KB |
Output is correct |
23 |
Correct |
271 ms |
17208 KB |
Output is correct |
24 |
Correct |
297 ms |
17136 KB |
Output is correct |
25 |
Correct |
230 ms |
19104 KB |
Output is correct |
26 |
Correct |
279 ms |
17604 KB |
Output is correct |
27 |
Correct |
284 ms |
17652 KB |
Output is correct |
28 |
Correct |
166 ms |
20032 KB |
Output is correct |
29 |
Correct |
214 ms |
16124 KB |
Output is correct |
30 |
Correct |
221 ms |
18268 KB |
Output is correct |
31 |
Correct |
282 ms |
18168 KB |
Output is correct |
32 |
Correct |
292 ms |
18128 KB |
Output is correct |
33 |
Correct |
240 ms |
17076 KB |
Output is correct |
34 |
Correct |
297 ms |
17068 KB |
Output is correct |
35 |
Correct |
283 ms |
17488 KB |
Output is correct |
36 |
Correct |
184 ms |
16116 KB |
Output is correct |
37 |
Correct |
217 ms |
18036 KB |
Output is correct |
38 |
Correct |
216 ms |
16116 KB |
Output is correct |
39 |
Correct |
261 ms |
17316 KB |
Output is correct |
40 |
Correct |
311 ms |
17028 KB |
Output is correct |
41 |
Correct |
66 ms |
15980 KB |
Output is correct |
42 |
Correct |
63 ms |
16064 KB |
Output is correct |
43 |
Correct |
74 ms |
15888 KB |
Output is correct |
44 |
Correct |
88 ms |
15980 KB |
Output is correct |
45 |
Correct |
65 ms |
16060 KB |
Output is correct |
46 |
Correct |
101 ms |
15956 KB |
Output is correct |
47 |
Correct |
78 ms |
16016 KB |
Output is correct |
48 |
Correct |
56 ms |
16136 KB |
Output is correct |
49 |
Correct |
62 ms |
15808 KB |
Output is correct |
50 |
Correct |
60 ms |
16060 KB |
Output is correct |
51 |
Correct |
75 ms |
16060 KB |
Output is correct |
52 |
Correct |
71 ms |
15940 KB |
Output is correct |
53 |
Correct |
60 ms |
15936 KB |
Output is correct |
54 |
Correct |
91 ms |
15932 KB |
Output is correct |
55 |
Correct |
78 ms |
15944 KB |
Output is correct |
56 |
Correct |
54 ms |
15880 KB |
Output is correct |
57 |
Correct |
60 ms |
16064 KB |
Output is correct |
58 |
Correct |
62 ms |
15820 KB |
Output is correct |
59 |
Correct |
65 ms |
15912 KB |
Output is correct |
60 |
Correct |
67 ms |
16032 KB |
Output is correct |
61 |
Correct |
63 ms |
15940 KB |
Output is correct |
62 |
Correct |
93 ms |
15936 KB |
Output is correct |
63 |
Correct |
100 ms |
16036 KB |
Output is correct |
64 |
Correct |
56 ms |
15812 KB |
Output is correct |
65 |
Correct |
76 ms |
15932 KB |
Output is correct |
66 |
Correct |
75 ms |
15948 KB |
Output is correct |
67 |
Correct |
78 ms |
15964 KB |
Output is correct |
68 |
Correct |
78 ms |
16112 KB |
Output is correct |
69 |
Correct |
79 ms |
15952 KB |
Output is correct |
70 |
Correct |
84 ms |
15940 KB |
Output is correct |
71 |
Correct |
394 ms |
23344 KB |
Output is correct |
72 |
Correct |
373 ms |
23592 KB |
Output is correct |
73 |
Correct |
568 ms |
22020 KB |
Output is correct |
74 |
Correct |
676 ms |
22368 KB |
Output is correct |
75 |
Correct |
373 ms |
24356 KB |
Output is correct |
76 |
Correct |
778 ms |
22644 KB |
Output is correct |
77 |
Correct |
817 ms |
22788 KB |
Output is correct |
78 |
Correct |
235 ms |
26340 KB |
Output is correct |
79 |
Correct |
361 ms |
20316 KB |
Output is correct |
80 |
Correct |
375 ms |
23504 KB |
Output is correct |
81 |
Correct |
552 ms |
23436 KB |
Output is correct |
82 |
Correct |
743 ms |
22416 KB |
Output is correct |
83 |
Correct |
383 ms |
21632 KB |
Output is correct |
84 |
Correct |
809 ms |
22396 KB |
Output is correct |
85 |
Correct |
713 ms |
22512 KB |
Output is correct |
86 |
Correct |
250 ms |
20316 KB |
Output is correct |
87 |
Correct |
317 ms |
23408 KB |
Output is correct |
88 |
Correct |
398 ms |
20300 KB |
Output is correct |
89 |
Correct |
535 ms |
21928 KB |
Output is correct |
90 |
Correct |
496 ms |
22432 KB |
Output is correct |
91 |
Correct |
354 ms |
21480 KB |
Output is correct |
92 |
Correct |
826 ms |
22564 KB |
Output is correct |
93 |
Correct |
702 ms |
22496 KB |
Output is correct |
94 |
Correct |
225 ms |
20336 KB |
Output is correct |
95 |
Correct |
595 ms |
22432 KB |
Output is correct |
96 |
Correct |
603 ms |
22588 KB |
Output is correct |
97 |
Correct |
641 ms |
22508 KB |
Output is correct |
98 |
Correct |
589 ms |
22564 KB |
Output is correct |
99 |
Correct |
634 ms |
22540 KB |
Output is correct |
100 |
Correct |
615 ms |
22376 KB |
Output is correct |