#include<bits/stdc++.h>
#define pll pair<ll, ll>
#define fi first
#define se second
#define pb push_back
#define pii pair<ll, pll>
using namespace std;
using ll = int;
const int N = 2e6+55;
const ll mod = 1e9+7;
const ll mod1 = 1e9+1;
const ll base = 311;
const ll base1 = 331;
ll m, n, t, k, a[N], tong, b[N], dp[N], c[N], lab[N], cnt, ans, h[N], d[N];
priority_queue< pll, vector<pll>, greater<pll> > pq;
string s;
vector<ll> adj[N];
vector<pll> e;
ll pw(ll k, ll n)
{
ll total = 1;
for(; n; n >>= 1)
{
if(n & 1)total = total * k % mod;
k = k * k % mod;
}
return total;
}
void f2(ll x)
{
while(x)
{
cout << x % 2;
x /= 2;
}
cout << '\n';
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m >> s;
for(int i = 0; i < (1 << n); i ++)
{
a[i] = b[i] = c[i] = s[i] - '0';
}
for(int j = 0; j < n; j ++)
{
for(int i = 0; i < (1<<n); i ++)
{
if((i >> j) & 1)b[i] += b[i^(1<<j)];
else a[i] += a[i^(1<<j)];
}
}
//cout << b[0] << '\n';
while(m -- > 0)
{
cin >> s;
reverse(s.begin(), s.end());
ll c0 = 0, c1 = 0, c2 = 0;
for(int i = 0; i < n; i ++)
{
if(s[i] == '0')++c0;
else if(s[i] == '1')++c1;
else ++c2;
}
ll x = 0, y = 0;
ans = 0;
if(c0 == min(min(c0, c1), c2))
{
for(int i = 0; i < n; i ++)
{
if(s[i] == '0')x |= (1<<i);
if(s[i] == '1')y |= (1<<i);
}
for(int i = x; ; i = (i - 1) & x)
{
if(__builtin_popcount(i) & 1)ans -= a[i+y];
else ans += a[i+y];
if(!i)break;
}
}
else if(c1 == min(min(c0, c1), c2))
{
for(int i = 0; i < n; i ++)
{
if(s[i] == '1')x |= (1<<i);
if(s[i] != '0')y |= (1<<i);
}
//cout << x <<" "<< y << '\n';
for(int i = x; ; i = (i - 1) & x)
{
if(__builtin_popcount(i) & 1)ans -= b[y-i];
else ans += b[y-i];
if(!i)break;
}
}
else
{
for(int i = 0; i < n; i ++)
{
if(s[i] == '?')x |= (1<<i);
if(s[i] == '1')y |= (1<<i);
}
for(int i = x; ; i = (i - 1) & x)
{
ans += c[i+y];
if(!i)break;
}
}
cout << ans << '\n';
}
}
/*
3 5
12345678
000
0??
1?0
?11
???
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
47340 KB |
Output is correct |
2 |
Correct |
25 ms |
47296 KB |
Output is correct |
3 |
Correct |
26 ms |
47224 KB |
Output is correct |
4 |
Correct |
25 ms |
47308 KB |
Output is correct |
5 |
Correct |
26 ms |
47336 KB |
Output is correct |
6 |
Correct |
26 ms |
47348 KB |
Output is correct |
7 |
Correct |
27 ms |
47240 KB |
Output is correct |
8 |
Correct |
25 ms |
47308 KB |
Output is correct |
9 |
Correct |
30 ms |
47240 KB |
Output is correct |
10 |
Correct |
26 ms |
47216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
47340 KB |
Output is correct |
2 |
Correct |
25 ms |
47296 KB |
Output is correct |
3 |
Correct |
26 ms |
47224 KB |
Output is correct |
4 |
Correct |
25 ms |
47308 KB |
Output is correct |
5 |
Correct |
26 ms |
47336 KB |
Output is correct |
6 |
Correct |
26 ms |
47348 KB |
Output is correct |
7 |
Correct |
27 ms |
47240 KB |
Output is correct |
8 |
Correct |
25 ms |
47308 KB |
Output is correct |
9 |
Correct |
30 ms |
47240 KB |
Output is correct |
10 |
Correct |
26 ms |
47216 KB |
Output is correct |
11 |
Correct |
292 ms |
62108 KB |
Output is correct |
12 |
Correct |
326 ms |
61728 KB |
Output is correct |
13 |
Correct |
360 ms |
61088 KB |
Output is correct |
14 |
Correct |
426 ms |
61072 KB |
Output is correct |
15 |
Correct |
337 ms |
62064 KB |
Output is correct |
16 |
Correct |
371 ms |
61196 KB |
Output is correct |
17 |
Correct |
380 ms |
61152 KB |
Output is correct |
18 |
Correct |
239 ms |
63076 KB |
Output is correct |
19 |
Correct |
275 ms |
59972 KB |
Output is correct |
20 |
Correct |
317 ms |
61764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
47340 KB |
Output is correct |
2 |
Correct |
25 ms |
47296 KB |
Output is correct |
3 |
Correct |
26 ms |
47224 KB |
Output is correct |
4 |
Correct |
25 ms |
47308 KB |
Output is correct |
5 |
Correct |
26 ms |
47336 KB |
Output is correct |
6 |
Correct |
26 ms |
47348 KB |
Output is correct |
7 |
Correct |
27 ms |
47240 KB |
Output is correct |
8 |
Correct |
25 ms |
47308 KB |
Output is correct |
9 |
Correct |
30 ms |
47240 KB |
Output is correct |
10 |
Correct |
26 ms |
47216 KB |
Output is correct |
11 |
Correct |
292 ms |
62108 KB |
Output is correct |
12 |
Correct |
326 ms |
61728 KB |
Output is correct |
13 |
Correct |
360 ms |
61088 KB |
Output is correct |
14 |
Correct |
426 ms |
61072 KB |
Output is correct |
15 |
Correct |
337 ms |
62064 KB |
Output is correct |
16 |
Correct |
371 ms |
61196 KB |
Output is correct |
17 |
Correct |
380 ms |
61152 KB |
Output is correct |
18 |
Correct |
239 ms |
63076 KB |
Output is correct |
19 |
Correct |
275 ms |
59972 KB |
Output is correct |
20 |
Correct |
317 ms |
61764 KB |
Output is correct |
21 |
Correct |
317 ms |
65068 KB |
Output is correct |
22 |
Correct |
388 ms |
65300 KB |
Output is correct |
23 |
Correct |
439 ms |
64320 KB |
Output is correct |
24 |
Correct |
531 ms |
64152 KB |
Output is correct |
25 |
Correct |
385 ms |
65536 KB |
Output is correct |
26 |
Correct |
454 ms |
64572 KB |
Output is correct |
27 |
Correct |
458 ms |
64648 KB |
Output is correct |
28 |
Correct |
277 ms |
65536 KB |
Output is correct |
29 |
Correct |
315 ms |
63124 KB |
Output is correct |
30 |
Correct |
334 ms |
65232 KB |
Output is correct |
31 |
Correct |
439 ms |
65128 KB |
Output is correct |
32 |
Correct |
463 ms |
65164 KB |
Output is correct |
33 |
Correct |
350 ms |
63972 KB |
Output is correct |
34 |
Correct |
496 ms |
64064 KB |
Output is correct |
35 |
Correct |
452 ms |
64524 KB |
Output is correct |
36 |
Correct |
283 ms |
63136 KB |
Output is correct |
37 |
Correct |
358 ms |
65116 KB |
Output is correct |
38 |
Correct |
328 ms |
63044 KB |
Output is correct |
39 |
Correct |
405 ms |
64236 KB |
Output is correct |
40 |
Correct |
470 ms |
64152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
47340 KB |
Output is correct |
2 |
Correct |
25 ms |
47296 KB |
Output is correct |
3 |
Correct |
26 ms |
47224 KB |
Output is correct |
4 |
Correct |
25 ms |
47308 KB |
Output is correct |
5 |
Correct |
26 ms |
47336 KB |
Output is correct |
6 |
Correct |
26 ms |
47348 KB |
Output is correct |
7 |
Correct |
27 ms |
47240 KB |
Output is correct |
8 |
Correct |
25 ms |
47308 KB |
Output is correct |
9 |
Correct |
30 ms |
47240 KB |
Output is correct |
10 |
Correct |
26 ms |
47216 KB |
Output is correct |
11 |
Correct |
105 ms |
63068 KB |
Output is correct |
12 |
Correct |
92 ms |
63156 KB |
Output is correct |
13 |
Correct |
99 ms |
63004 KB |
Output is correct |
14 |
Correct |
120 ms |
62936 KB |
Output is correct |
15 |
Correct |
89 ms |
63040 KB |
Output is correct |
16 |
Correct |
114 ms |
63036 KB |
Output is correct |
17 |
Correct |
120 ms |
62980 KB |
Output is correct |
18 |
Correct |
80 ms |
63144 KB |
Output is correct |
19 |
Correct |
95 ms |
62948 KB |
Output is correct |
20 |
Correct |
86 ms |
62984 KB |
Output is correct |
21 |
Correct |
108 ms |
63084 KB |
Output is correct |
22 |
Correct |
114 ms |
62956 KB |
Output is correct |
23 |
Correct |
86 ms |
62944 KB |
Output is correct |
24 |
Correct |
127 ms |
62940 KB |
Output is correct |
25 |
Correct |
122 ms |
63032 KB |
Output is correct |
26 |
Correct |
77 ms |
62836 KB |
Output is correct |
27 |
Correct |
88 ms |
63024 KB |
Output is correct |
28 |
Correct |
88 ms |
62876 KB |
Output is correct |
29 |
Correct |
95 ms |
62924 KB |
Output is correct |
30 |
Correct |
99 ms |
63000 KB |
Output is correct |
31 |
Correct |
93 ms |
62944 KB |
Output is correct |
32 |
Correct |
127 ms |
63028 KB |
Output is correct |
33 |
Correct |
118 ms |
62944 KB |
Output is correct |
34 |
Correct |
76 ms |
62948 KB |
Output is correct |
35 |
Correct |
105 ms |
62968 KB |
Output is correct |
36 |
Correct |
110 ms |
63024 KB |
Output is correct |
37 |
Correct |
119 ms |
62960 KB |
Output is correct |
38 |
Correct |
107 ms |
62944 KB |
Output is correct |
39 |
Correct |
110 ms |
62932 KB |
Output is correct |
40 |
Correct |
109 ms |
62944 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
26 ms |
47340 KB |
Output is correct |
2 |
Correct |
25 ms |
47296 KB |
Output is correct |
3 |
Correct |
26 ms |
47224 KB |
Output is correct |
4 |
Correct |
25 ms |
47308 KB |
Output is correct |
5 |
Correct |
26 ms |
47336 KB |
Output is correct |
6 |
Correct |
26 ms |
47348 KB |
Output is correct |
7 |
Correct |
27 ms |
47240 KB |
Output is correct |
8 |
Correct |
25 ms |
47308 KB |
Output is correct |
9 |
Correct |
30 ms |
47240 KB |
Output is correct |
10 |
Correct |
26 ms |
47216 KB |
Output is correct |
11 |
Correct |
292 ms |
62108 KB |
Output is correct |
12 |
Correct |
326 ms |
61728 KB |
Output is correct |
13 |
Correct |
360 ms |
61088 KB |
Output is correct |
14 |
Correct |
426 ms |
61072 KB |
Output is correct |
15 |
Correct |
337 ms |
62064 KB |
Output is correct |
16 |
Correct |
371 ms |
61196 KB |
Output is correct |
17 |
Correct |
380 ms |
61152 KB |
Output is correct |
18 |
Correct |
239 ms |
63076 KB |
Output is correct |
19 |
Correct |
275 ms |
59972 KB |
Output is correct |
20 |
Correct |
317 ms |
61764 KB |
Output is correct |
21 |
Correct |
317 ms |
65068 KB |
Output is correct |
22 |
Correct |
388 ms |
65300 KB |
Output is correct |
23 |
Correct |
439 ms |
64320 KB |
Output is correct |
24 |
Correct |
531 ms |
64152 KB |
Output is correct |
25 |
Correct |
385 ms |
65536 KB |
Output is correct |
26 |
Correct |
454 ms |
64572 KB |
Output is correct |
27 |
Correct |
458 ms |
64648 KB |
Output is correct |
28 |
Correct |
277 ms |
65536 KB |
Output is correct |
29 |
Correct |
315 ms |
63124 KB |
Output is correct |
30 |
Correct |
334 ms |
65232 KB |
Output is correct |
31 |
Correct |
439 ms |
65128 KB |
Output is correct |
32 |
Correct |
463 ms |
65164 KB |
Output is correct |
33 |
Correct |
350 ms |
63972 KB |
Output is correct |
34 |
Correct |
496 ms |
64064 KB |
Output is correct |
35 |
Correct |
452 ms |
64524 KB |
Output is correct |
36 |
Correct |
283 ms |
63136 KB |
Output is correct |
37 |
Correct |
358 ms |
65116 KB |
Output is correct |
38 |
Correct |
328 ms |
63044 KB |
Output is correct |
39 |
Correct |
405 ms |
64236 KB |
Output is correct |
40 |
Correct |
470 ms |
64152 KB |
Output is correct |
41 |
Correct |
105 ms |
63068 KB |
Output is correct |
42 |
Correct |
92 ms |
63156 KB |
Output is correct |
43 |
Correct |
99 ms |
63004 KB |
Output is correct |
44 |
Correct |
120 ms |
62936 KB |
Output is correct |
45 |
Correct |
89 ms |
63040 KB |
Output is correct |
46 |
Correct |
114 ms |
63036 KB |
Output is correct |
47 |
Correct |
120 ms |
62980 KB |
Output is correct |
48 |
Correct |
80 ms |
63144 KB |
Output is correct |
49 |
Correct |
95 ms |
62948 KB |
Output is correct |
50 |
Correct |
86 ms |
62984 KB |
Output is correct |
51 |
Correct |
108 ms |
63084 KB |
Output is correct |
52 |
Correct |
114 ms |
62956 KB |
Output is correct |
53 |
Correct |
86 ms |
62944 KB |
Output is correct |
54 |
Correct |
127 ms |
62940 KB |
Output is correct |
55 |
Correct |
122 ms |
63032 KB |
Output is correct |
56 |
Correct |
77 ms |
62836 KB |
Output is correct |
57 |
Correct |
88 ms |
63024 KB |
Output is correct |
58 |
Correct |
88 ms |
62876 KB |
Output is correct |
59 |
Correct |
95 ms |
62924 KB |
Output is correct |
60 |
Correct |
99 ms |
63000 KB |
Output is correct |
61 |
Correct |
93 ms |
62944 KB |
Output is correct |
62 |
Correct |
127 ms |
63028 KB |
Output is correct |
63 |
Correct |
118 ms |
62944 KB |
Output is correct |
64 |
Correct |
76 ms |
62948 KB |
Output is correct |
65 |
Correct |
105 ms |
62968 KB |
Output is correct |
66 |
Correct |
110 ms |
63024 KB |
Output is correct |
67 |
Correct |
119 ms |
62960 KB |
Output is correct |
68 |
Correct |
107 ms |
62944 KB |
Output is correct |
69 |
Correct |
110 ms |
62932 KB |
Output is correct |
70 |
Correct |
109 ms |
62944 KB |
Output is correct |
71 |
Correct |
487 ms |
65536 KB |
Output is correct |
72 |
Correct |
604 ms |
65536 KB |
Output is correct |
73 |
Correct |
804 ms |
65536 KB |
Output is correct |
74 |
Correct |
1168 ms |
65536 KB |
Output is correct |
75 |
Correct |
583 ms |
65536 KB |
Output is correct |
76 |
Correct |
1172 ms |
65536 KB |
Output is correct |
77 |
Correct |
1132 ms |
65536 KB |
Output is correct |
78 |
Correct |
340 ms |
65536 KB |
Output is correct |
79 |
Correct |
492 ms |
65536 KB |
Output is correct |
80 |
Correct |
519 ms |
65536 KB |
Output is correct |
81 |
Correct |
778 ms |
65536 KB |
Output is correct |
82 |
Correct |
1038 ms |
65536 KB |
Output is correct |
83 |
Correct |
525 ms |
65536 KB |
Output is correct |
84 |
Correct |
1299 ms |
65536 KB |
Output is correct |
85 |
Correct |
1117 ms |
65536 KB |
Output is correct |
86 |
Correct |
350 ms |
65536 KB |
Output is correct |
87 |
Correct |
556 ms |
65536 KB |
Output is correct |
88 |
Correct |
483 ms |
65536 KB |
Output is correct |
89 |
Correct |
709 ms |
65536 KB |
Output is correct |
90 |
Correct |
706 ms |
65536 KB |
Output is correct |
91 |
Correct |
578 ms |
65536 KB |
Output is correct |
92 |
Correct |
1333 ms |
65536 KB |
Output is correct |
93 |
Correct |
1254 ms |
65536 KB |
Output is correct |
94 |
Correct |
319 ms |
65536 KB |
Output is correct |
95 |
Correct |
950 ms |
65536 KB |
Output is correct |
96 |
Correct |
925 ms |
65536 KB |
Output is correct |
97 |
Correct |
933 ms |
65536 KB |
Output is correct |
98 |
Correct |
924 ms |
65536 KB |
Output is correct |
99 |
Correct |
910 ms |
65536 KB |
Output is correct |
100 |
Correct |
911 ms |
65536 KB |
Output is correct |