//khodaya khodet komak kon
# include <bits/stdc++.h>
/*
// ordered_set
# include <ext/pb_ds/assoc_container.hpp>
# include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
# define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
*/
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef pair <pii, int> ppi;
typedef pair <int, pii> pip;
typedef pair <pii, pii> ppp;
typedef pair <ll, ll> pll;
# define A first
# define B second
# define endl '\n'
# define sep ' '
# define lc id << 1
# define rc lc | 1
# define all(x) x.begin(), x.end()
# define kill(x) return cout << x << endl, 0
# define SZ(x) int(x.size())
# define InTheNameOfGod ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
ll power(ll a, ll b, ll md) {return (!b ? 1 : (b & 1 ? a * power(a * a % md, b / 2, md) % md : power(a * a % md, b / 2, md) % md));}
const int xn = 21;
const int xm = - 20 + 10;
const int sq = 320;
const ll inf = 1e18 + 10;
const ll INF = 1e18 + 10;
const int mod = 998244353;
const int base = 257;
int n, q, a[1 << xn], cnt[3];
pii dp[1 << xn];
string s;
void solve3(){
int mask = 0, tot = 0, ans = 0;
for (int i = 0; i < n; ++ i){
if (s[i] == '?')
mask += (1 << i);
else
tot += (s[i] - '0') * (1 << i);
}
for (int sub = mask; sub > 0; sub = ((sub - 1) & mask))
ans += a[tot + sub];
ans += a[tot];
cout << ans << endl;
}
void solve2(){
int tot = 0, ans = 0, mask = 0;
for (int i = 0; i < n; ++ i){
if (s[i] != '0')
tot += (1 << i);
if (s[i] == '1')
mask += (1 << i);
}
ans = dp[tot].A;
for (int sub = mask; sub > 0; sub = ((sub - 1) & mask)){
int ted = __builtin_popcount(sub);
if (ted % 2)
ans -= dp[tot - sub].A;
else
ans += dp[tot - sub].A;
}
cout << ans << endl;
}
void solve1(){
int tot = 0, ans = 0, mask = 0;
for (int i = 0; i < n; ++ i){
if (s[i] == '1')
tot += (1 << i);
else if (s[i] == '0')
mask += (1 << i);
}
ans = dp[tot].B;
for (int sub = mask; sub > 0; sub = ((sub - 1) & mask)){
int ted = __builtin_popcount(sub);
if (ted % 2)
ans -= dp[tot + sub].B;
else
ans += dp[tot + sub].B;
}
cout << ans << endl;
}
int main(){
InTheNameOfGod;
cin >> n >> q >> s;
for (int i = 0; i < (1 << n); ++ i)
a[i] = dp[i].A = dp[i].B = s[i] - '0';
for (int bit = 0; bit < n; ++ bit){
for (int mask = (1 << n) - 1; mask >= 0; -- mask)
if ((mask & (1 << bit)))
dp[mask].A += dp[mask - (1 << bit)].A;
for (int mask = 0; mask < (1 << n); ++ mask)
if (!(mask & (1 << bit)))
dp[mask].B += dp[mask + (1 << bit)].B;
}
while (q --){
cin >> s, reverse(all(s));
cnt[0] = cnt[1] = cnt[2] = 0;
for (char c : s){
if (c == '0')
++ cnt[0];
else if (c == '1')
++ cnt[1];
else
++ cnt[2];
}
if (cnt[0] < 7)
solve1();
else if (cnt[1] < 7)
solve2();
else
solve3();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
283 ms |
14444 KB |
Output is correct |
12 |
Correct |
392 ms |
13932 KB |
Output is correct |
13 |
Correct |
452 ms |
13036 KB |
Output is correct |
14 |
Correct |
419 ms |
13164 KB |
Output is correct |
15 |
Correct |
308 ms |
14188 KB |
Output is correct |
16 |
Correct |
374 ms |
13292 KB |
Output is correct |
17 |
Correct |
428 ms |
13644 KB |
Output is correct |
18 |
Correct |
239 ms |
15212 KB |
Output is correct |
19 |
Correct |
387 ms |
12140 KB |
Output is correct |
20 |
Correct |
305 ms |
13804 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
283 ms |
14444 KB |
Output is correct |
12 |
Correct |
392 ms |
13932 KB |
Output is correct |
13 |
Correct |
452 ms |
13036 KB |
Output is correct |
14 |
Correct |
419 ms |
13164 KB |
Output is correct |
15 |
Correct |
308 ms |
14188 KB |
Output is correct |
16 |
Correct |
374 ms |
13292 KB |
Output is correct |
17 |
Correct |
428 ms |
13644 KB |
Output is correct |
18 |
Correct |
239 ms |
15212 KB |
Output is correct |
19 |
Correct |
387 ms |
12140 KB |
Output is correct |
20 |
Correct |
305 ms |
13804 KB |
Output is correct |
21 |
Correct |
352 ms |
16472 KB |
Output is correct |
22 |
Correct |
432 ms |
16620 KB |
Output is correct |
23 |
Correct |
642 ms |
15512 KB |
Output is correct |
24 |
Correct |
502 ms |
15084 KB |
Output is correct |
25 |
Correct |
379 ms |
17260 KB |
Output is correct |
26 |
Correct |
492 ms |
16012 KB |
Output is correct |
27 |
Correct |
500 ms |
15476 KB |
Output is correct |
28 |
Correct |
262 ms |
18028 KB |
Output is correct |
29 |
Correct |
613 ms |
14360 KB |
Output is correct |
30 |
Correct |
357 ms |
16108 KB |
Output is correct |
31 |
Correct |
438 ms |
16176 KB |
Output is correct |
32 |
Correct |
448 ms |
15596 KB |
Output is correct |
33 |
Correct |
403 ms |
14616 KB |
Output is correct |
34 |
Correct |
509 ms |
14880 KB |
Output is correct |
35 |
Correct |
495 ms |
15084 KB |
Output is correct |
36 |
Correct |
256 ms |
13676 KB |
Output is correct |
37 |
Correct |
335 ms |
15480 KB |
Output is correct |
38 |
Correct |
515 ms |
13420 KB |
Output is correct |
39 |
Correct |
452 ms |
14720 KB |
Output is correct |
40 |
Correct |
472 ms |
14328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
85 ms |
16144 KB |
Output is correct |
12 |
Correct |
91 ms |
16216 KB |
Output is correct |
13 |
Correct |
134 ms |
16144 KB |
Output is correct |
14 |
Correct |
147 ms |
16016 KB |
Output is correct |
15 |
Correct |
89 ms |
16144 KB |
Output is correct |
16 |
Correct |
159 ms |
16092 KB |
Output is correct |
17 |
Correct |
137 ms |
16016 KB |
Output is correct |
18 |
Correct |
75 ms |
16272 KB |
Output is correct |
19 |
Correct |
83 ms |
16016 KB |
Output is correct |
20 |
Correct |
91 ms |
16144 KB |
Output is correct |
21 |
Correct |
107 ms |
16144 KB |
Output is correct |
22 |
Correct |
151 ms |
16016 KB |
Output is correct |
23 |
Correct |
94 ms |
16016 KB |
Output is correct |
24 |
Correct |
145 ms |
16016 KB |
Output is correct |
25 |
Correct |
128 ms |
16016 KB |
Output is correct |
26 |
Correct |
74 ms |
16016 KB |
Output is correct |
27 |
Correct |
88 ms |
16144 KB |
Output is correct |
28 |
Correct |
87 ms |
16016 KB |
Output is correct |
29 |
Correct |
114 ms |
16016 KB |
Output is correct |
30 |
Correct |
103 ms |
16016 KB |
Output is correct |
31 |
Correct |
95 ms |
16144 KB |
Output is correct |
32 |
Correct |
144 ms |
16144 KB |
Output is correct |
33 |
Correct |
133 ms |
16272 KB |
Output is correct |
34 |
Correct |
73 ms |
16016 KB |
Output is correct |
35 |
Correct |
112 ms |
16160 KB |
Output is correct |
36 |
Correct |
113 ms |
16084 KB |
Output is correct |
37 |
Correct |
114 ms |
16144 KB |
Output is correct |
38 |
Correct |
115 ms |
16016 KB |
Output is correct |
39 |
Correct |
115 ms |
16144 KB |
Output is correct |
40 |
Correct |
115 ms |
16144 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
283 ms |
14444 KB |
Output is correct |
12 |
Correct |
392 ms |
13932 KB |
Output is correct |
13 |
Correct |
452 ms |
13036 KB |
Output is correct |
14 |
Correct |
419 ms |
13164 KB |
Output is correct |
15 |
Correct |
308 ms |
14188 KB |
Output is correct |
16 |
Correct |
374 ms |
13292 KB |
Output is correct |
17 |
Correct |
428 ms |
13644 KB |
Output is correct |
18 |
Correct |
239 ms |
15212 KB |
Output is correct |
19 |
Correct |
387 ms |
12140 KB |
Output is correct |
20 |
Correct |
305 ms |
13804 KB |
Output is correct |
21 |
Correct |
352 ms |
16472 KB |
Output is correct |
22 |
Correct |
432 ms |
16620 KB |
Output is correct |
23 |
Correct |
642 ms |
15512 KB |
Output is correct |
24 |
Correct |
502 ms |
15084 KB |
Output is correct |
25 |
Correct |
379 ms |
17260 KB |
Output is correct |
26 |
Correct |
492 ms |
16012 KB |
Output is correct |
27 |
Correct |
500 ms |
15476 KB |
Output is correct |
28 |
Correct |
262 ms |
18028 KB |
Output is correct |
29 |
Correct |
613 ms |
14360 KB |
Output is correct |
30 |
Correct |
357 ms |
16108 KB |
Output is correct |
31 |
Correct |
438 ms |
16176 KB |
Output is correct |
32 |
Correct |
448 ms |
15596 KB |
Output is correct |
33 |
Correct |
403 ms |
14616 KB |
Output is correct |
34 |
Correct |
509 ms |
14880 KB |
Output is correct |
35 |
Correct |
495 ms |
15084 KB |
Output is correct |
36 |
Correct |
256 ms |
13676 KB |
Output is correct |
37 |
Correct |
335 ms |
15480 KB |
Output is correct |
38 |
Correct |
515 ms |
13420 KB |
Output is correct |
39 |
Correct |
452 ms |
14720 KB |
Output is correct |
40 |
Correct |
472 ms |
14328 KB |
Output is correct |
41 |
Correct |
85 ms |
16144 KB |
Output is correct |
42 |
Correct |
91 ms |
16216 KB |
Output is correct |
43 |
Correct |
134 ms |
16144 KB |
Output is correct |
44 |
Correct |
147 ms |
16016 KB |
Output is correct |
45 |
Correct |
89 ms |
16144 KB |
Output is correct |
46 |
Correct |
159 ms |
16092 KB |
Output is correct |
47 |
Correct |
137 ms |
16016 KB |
Output is correct |
48 |
Correct |
75 ms |
16272 KB |
Output is correct |
49 |
Correct |
83 ms |
16016 KB |
Output is correct |
50 |
Correct |
91 ms |
16144 KB |
Output is correct |
51 |
Correct |
107 ms |
16144 KB |
Output is correct |
52 |
Correct |
151 ms |
16016 KB |
Output is correct |
53 |
Correct |
94 ms |
16016 KB |
Output is correct |
54 |
Correct |
145 ms |
16016 KB |
Output is correct |
55 |
Correct |
128 ms |
16016 KB |
Output is correct |
56 |
Correct |
74 ms |
16016 KB |
Output is correct |
57 |
Correct |
88 ms |
16144 KB |
Output is correct |
58 |
Correct |
87 ms |
16016 KB |
Output is correct |
59 |
Correct |
114 ms |
16016 KB |
Output is correct |
60 |
Correct |
103 ms |
16016 KB |
Output is correct |
61 |
Correct |
95 ms |
16144 KB |
Output is correct |
62 |
Correct |
144 ms |
16144 KB |
Output is correct |
63 |
Correct |
133 ms |
16272 KB |
Output is correct |
64 |
Correct |
73 ms |
16016 KB |
Output is correct |
65 |
Correct |
112 ms |
16160 KB |
Output is correct |
66 |
Correct |
113 ms |
16084 KB |
Output is correct |
67 |
Correct |
114 ms |
16144 KB |
Output is correct |
68 |
Correct |
115 ms |
16016 KB |
Output is correct |
69 |
Correct |
115 ms |
16144 KB |
Output is correct |
70 |
Correct |
115 ms |
16144 KB |
Output is correct |
71 |
Correct |
593 ms |
32784 KB |
Output is correct |
72 |
Correct |
657 ms |
33400 KB |
Output is correct |
73 |
Correct |
1133 ms |
32132 KB |
Output is correct |
74 |
Correct |
1869 ms |
32832 KB |
Output is correct |
75 |
Correct |
615 ms |
20748 KB |
Output is correct |
76 |
Correct |
1918 ms |
19084 KB |
Output is correct |
77 |
Correct |
1378 ms |
18996 KB |
Output is correct |
78 |
Correct |
347 ms |
22672 KB |
Output is correct |
79 |
Correct |
472 ms |
16656 KB |
Output is correct |
80 |
Correct |
620 ms |
19788 KB |
Output is correct |
81 |
Correct |
991 ms |
19808 KB |
Output is correct |
82 |
Correct |
1765 ms |
18684 KB |
Output is correct |
83 |
Correct |
661 ms |
17936 KB |
Output is correct |
84 |
Correct |
1511 ms |
18832 KB |
Output is correct |
85 |
Correct |
1321 ms |
18960 KB |
Output is correct |
86 |
Correct |
348 ms |
16604 KB |
Output is correct |
87 |
Correct |
591 ms |
19728 KB |
Output is correct |
88 |
Correct |
555 ms |
16528 KB |
Output is correct |
89 |
Correct |
1034 ms |
18704 KB |
Output is correct |
90 |
Correct |
776 ms |
18704 KB |
Output is correct |
91 |
Correct |
703 ms |
17880 KB |
Output is correct |
92 |
Correct |
1633 ms |
18960 KB |
Output is correct |
93 |
Correct |
1363 ms |
19044 KB |
Output is correct |
94 |
Correct |
333 ms |
16528 KB |
Output is correct |
95 |
Correct |
1114 ms |
18620 KB |
Output is correct |
96 |
Correct |
1122 ms |
32272 KB |
Output is correct |
97 |
Correct |
1095 ms |
18960 KB |
Output is correct |
98 |
Correct |
1088 ms |
18832 KB |
Output is correct |
99 |
Correct |
1086 ms |
18764 KB |
Output is correct |
100 |
Correct |
1105 ms |
18704 KB |
Output is correct |