//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], ted[1 << xn];
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)){
if (ted[sub] % 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)){
if (ted[sub] % 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;
}
for (int mask = 1; mask < (1 << n); ++ mask)
ted[mask] = ted[mask - (mask & - mask)] ^ 1;
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] <= n / 3)
solve1();
else if (cnt[1] <= n / 3)
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 |
2 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 |
2 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 |
284 ms |
4844 KB |
Output is correct |
12 |
Correct |
315 ms |
4588 KB |
Output is correct |
13 |
Correct |
322 ms |
3820 KB |
Output is correct |
14 |
Correct |
305 ms |
3692 KB |
Output is correct |
15 |
Correct |
308 ms |
4844 KB |
Output is correct |
16 |
Correct |
334 ms |
4036 KB |
Output is correct |
17 |
Correct |
367 ms |
3820 KB |
Output is correct |
18 |
Correct |
248 ms |
5740 KB |
Output is correct |
19 |
Correct |
253 ms |
2668 KB |
Output is correct |
20 |
Correct |
317 ms |
4716 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 |
2 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 |
284 ms |
4844 KB |
Output is correct |
12 |
Correct |
315 ms |
4588 KB |
Output is correct |
13 |
Correct |
322 ms |
3820 KB |
Output is correct |
14 |
Correct |
305 ms |
3692 KB |
Output is correct |
15 |
Correct |
308 ms |
4844 KB |
Output is correct |
16 |
Correct |
334 ms |
4036 KB |
Output is correct |
17 |
Correct |
367 ms |
3820 KB |
Output is correct |
18 |
Correct |
248 ms |
5740 KB |
Output is correct |
19 |
Correct |
253 ms |
2668 KB |
Output is correct |
20 |
Correct |
317 ms |
4716 KB |
Output is correct |
21 |
Correct |
347 ms |
5820 KB |
Output is correct |
22 |
Correct |
344 ms |
5996 KB |
Output is correct |
23 |
Correct |
398 ms |
4964 KB |
Output is correct |
24 |
Correct |
430 ms |
4908 KB |
Output is correct |
25 |
Correct |
362 ms |
7020 KB |
Output is correct |
26 |
Correct |
468 ms |
5292 KB |
Output is correct |
27 |
Correct |
424 ms |
5300 KB |
Output is correct |
28 |
Correct |
247 ms |
7916 KB |
Output is correct |
29 |
Correct |
284 ms |
3764 KB |
Output is correct |
30 |
Correct |
370 ms |
5956 KB |
Output is correct |
31 |
Correct |
395 ms |
5868 KB |
Output is correct |
32 |
Correct |
424 ms |
5812 KB |
Output is correct |
33 |
Correct |
351 ms |
4844 KB |
Output is correct |
34 |
Correct |
443 ms |
4972 KB |
Output is correct |
35 |
Correct |
429 ms |
5256 KB |
Output is correct |
36 |
Correct |
233 ms |
3820 KB |
Output is correct |
37 |
Correct |
347 ms |
5996 KB |
Output is correct |
38 |
Correct |
319 ms |
3820 KB |
Output is correct |
39 |
Correct |
386 ms |
5100 KB |
Output is correct |
40 |
Correct |
408 ms |
4844 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 |
2 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 |
107 ms |
19216 KB |
Output is correct |
12 |
Correct |
98 ms |
19088 KB |
Output is correct |
13 |
Correct |
106 ms |
19088 KB |
Output is correct |
14 |
Correct |
132 ms |
19088 KB |
Output is correct |
15 |
Correct |
92 ms |
19216 KB |
Output is correct |
16 |
Correct |
153 ms |
19088 KB |
Output is correct |
17 |
Correct |
130 ms |
19216 KB |
Output is correct |
18 |
Correct |
76 ms |
19344 KB |
Output is correct |
19 |
Correct |
83 ms |
18960 KB |
Output is correct |
20 |
Correct |
93 ms |
19088 KB |
Output is correct |
21 |
Correct |
107 ms |
19164 KB |
Output is correct |
22 |
Correct |
138 ms |
19088 KB |
Output is correct |
23 |
Correct |
96 ms |
18960 KB |
Output is correct |
24 |
Correct |
125 ms |
19088 KB |
Output is correct |
25 |
Correct |
126 ms |
19048 KB |
Output is correct |
26 |
Correct |
77 ms |
18960 KB |
Output is correct |
27 |
Correct |
87 ms |
19088 KB |
Output is correct |
28 |
Correct |
91 ms |
18960 KB |
Output is correct |
29 |
Correct |
110 ms |
19088 KB |
Output is correct |
30 |
Correct |
116 ms |
19088 KB |
Output is correct |
31 |
Correct |
106 ms |
18960 KB |
Output is correct |
32 |
Correct |
129 ms |
19088 KB |
Output is correct |
33 |
Correct |
116 ms |
19088 KB |
Output is correct |
34 |
Correct |
75 ms |
18960 KB |
Output is correct |
35 |
Correct |
109 ms |
19088 KB |
Output is correct |
36 |
Correct |
110 ms |
19088 KB |
Output is correct |
37 |
Correct |
107 ms |
19048 KB |
Output is correct |
38 |
Correct |
110 ms |
19088 KB |
Output is correct |
39 |
Correct |
108 ms |
19088 KB |
Output is correct |
40 |
Correct |
109 ms |
19088 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 |
2 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 |
284 ms |
4844 KB |
Output is correct |
12 |
Correct |
315 ms |
4588 KB |
Output is correct |
13 |
Correct |
322 ms |
3820 KB |
Output is correct |
14 |
Correct |
305 ms |
3692 KB |
Output is correct |
15 |
Correct |
308 ms |
4844 KB |
Output is correct |
16 |
Correct |
334 ms |
4036 KB |
Output is correct |
17 |
Correct |
367 ms |
3820 KB |
Output is correct |
18 |
Correct |
248 ms |
5740 KB |
Output is correct |
19 |
Correct |
253 ms |
2668 KB |
Output is correct |
20 |
Correct |
317 ms |
4716 KB |
Output is correct |
21 |
Correct |
347 ms |
5820 KB |
Output is correct |
22 |
Correct |
344 ms |
5996 KB |
Output is correct |
23 |
Correct |
398 ms |
4964 KB |
Output is correct |
24 |
Correct |
430 ms |
4908 KB |
Output is correct |
25 |
Correct |
362 ms |
7020 KB |
Output is correct |
26 |
Correct |
468 ms |
5292 KB |
Output is correct |
27 |
Correct |
424 ms |
5300 KB |
Output is correct |
28 |
Correct |
247 ms |
7916 KB |
Output is correct |
29 |
Correct |
284 ms |
3764 KB |
Output is correct |
30 |
Correct |
370 ms |
5956 KB |
Output is correct |
31 |
Correct |
395 ms |
5868 KB |
Output is correct |
32 |
Correct |
424 ms |
5812 KB |
Output is correct |
33 |
Correct |
351 ms |
4844 KB |
Output is correct |
34 |
Correct |
443 ms |
4972 KB |
Output is correct |
35 |
Correct |
429 ms |
5256 KB |
Output is correct |
36 |
Correct |
233 ms |
3820 KB |
Output is correct |
37 |
Correct |
347 ms |
5996 KB |
Output is correct |
38 |
Correct |
319 ms |
3820 KB |
Output is correct |
39 |
Correct |
386 ms |
5100 KB |
Output is correct |
40 |
Correct |
408 ms |
4844 KB |
Output is correct |
41 |
Correct |
107 ms |
19216 KB |
Output is correct |
42 |
Correct |
98 ms |
19088 KB |
Output is correct |
43 |
Correct |
106 ms |
19088 KB |
Output is correct |
44 |
Correct |
132 ms |
19088 KB |
Output is correct |
45 |
Correct |
92 ms |
19216 KB |
Output is correct |
46 |
Correct |
153 ms |
19088 KB |
Output is correct |
47 |
Correct |
130 ms |
19216 KB |
Output is correct |
48 |
Correct |
76 ms |
19344 KB |
Output is correct |
49 |
Correct |
83 ms |
18960 KB |
Output is correct |
50 |
Correct |
93 ms |
19088 KB |
Output is correct |
51 |
Correct |
107 ms |
19164 KB |
Output is correct |
52 |
Correct |
138 ms |
19088 KB |
Output is correct |
53 |
Correct |
96 ms |
18960 KB |
Output is correct |
54 |
Correct |
125 ms |
19088 KB |
Output is correct |
55 |
Correct |
126 ms |
19048 KB |
Output is correct |
56 |
Correct |
77 ms |
18960 KB |
Output is correct |
57 |
Correct |
87 ms |
19088 KB |
Output is correct |
58 |
Correct |
91 ms |
18960 KB |
Output is correct |
59 |
Correct |
110 ms |
19088 KB |
Output is correct |
60 |
Correct |
116 ms |
19088 KB |
Output is correct |
61 |
Correct |
106 ms |
18960 KB |
Output is correct |
62 |
Correct |
129 ms |
19088 KB |
Output is correct |
63 |
Correct |
116 ms |
19088 KB |
Output is correct |
64 |
Correct |
75 ms |
18960 KB |
Output is correct |
65 |
Correct |
109 ms |
19088 KB |
Output is correct |
66 |
Correct |
110 ms |
19088 KB |
Output is correct |
67 |
Correct |
107 ms |
19048 KB |
Output is correct |
68 |
Correct |
110 ms |
19088 KB |
Output is correct |
69 |
Correct |
108 ms |
19088 KB |
Output is correct |
70 |
Correct |
109 ms |
19088 KB |
Output is correct |
71 |
Correct |
601 ms |
24520 KB |
Output is correct |
72 |
Correct |
645 ms |
24592 KB |
Output is correct |
73 |
Correct |
981 ms |
23056 KB |
Output is correct |
74 |
Correct |
1411 ms |
23432 KB |
Output is correct |
75 |
Correct |
582 ms |
24872 KB |
Output is correct |
76 |
Correct |
1462 ms |
23184 KB |
Output is correct |
77 |
Correct |
1156 ms |
23184 KB |
Output is correct |
78 |
Correct |
344 ms |
26768 KB |
Output is correct |
79 |
Correct |
475 ms |
20752 KB |
Output is correct |
80 |
Correct |
633 ms |
24080 KB |
Output is correct |
81 |
Correct |
856 ms |
23952 KB |
Output is correct |
82 |
Correct |
1440 ms |
23124 KB |
Output is correct |
83 |
Correct |
634 ms |
22032 KB |
Output is correct |
84 |
Correct |
1199 ms |
23032 KB |
Output is correct |
85 |
Correct |
1074 ms |
23056 KB |
Output is correct |
86 |
Correct |
361 ms |
20800 KB |
Output is correct |
87 |
Correct |
634 ms |
23780 KB |
Output is correct |
88 |
Correct |
566 ms |
20852 KB |
Output is correct |
89 |
Correct |
926 ms |
22712 KB |
Output is correct |
90 |
Correct |
822 ms |
22672 KB |
Output is correct |
91 |
Correct |
660 ms |
22032 KB |
Output is correct |
92 |
Correct |
1281 ms |
23056 KB |
Output is correct |
93 |
Correct |
1084 ms |
22948 KB |
Output is correct |
94 |
Correct |
299 ms |
20368 KB |
Output is correct |
95 |
Correct |
919 ms |
22544 KB |
Output is correct |
96 |
Correct |
911 ms |
22672 KB |
Output is correct |
97 |
Correct |
930 ms |
22416 KB |
Output is correct |
98 |
Correct |
910 ms |
22416 KB |
Output is correct |
99 |
Correct |
951 ms |
22416 KB |
Output is correct |
100 |
Correct |
895 ms |
22672 KB |
Output is correct |