#include <iostream>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <set>
#include <iterator>
#include <stack>
#include <map>
#include <math.h>
#include <bitset>
#include <deque>
#include <string>
#include <tuple>
#include <queue>
#include <numeric>
#include <complex>
#include <assert.h>
#include <unordered_set>
#include <unordered_map>
#define ll long long
#define ld long long double
#define rep(i, a, b) for (long long i = a; i <= b; i++)
#define mod 1000000007ll
#define INF 1e18
#define pb push_back
#define ff first
#define ss second
#define endl '\n'
#define all(x) (x).begin (), (x).end ()
#define sz(x) (ll) (x).size ()
#define reunique(v) v.resize(std::unique(v.begin(), v.end()) - v.begin())
#define rank rnk
#define log lg
#define fast \
ios_base::sync_with_stdio (false); \
cin.tie (NULL); \
cout.tie (NULL)
using namespace std;
signed main()
{
fast;
ll l,q;
cin>>l>>q;
ll dp[1ll<<20], dp2[1ll<<20], v[1ll<<20];
string s;
cin>>s;
rep(i,0,sz(s)-1)
dp[(~i)&((1ll<<l)-1)]=s[i]-'0', dp2[i]=s[i]-'0', v[i]=s[i]-'0';
rep(i,0,l-1)
rep(mask,0,(1ll<<l)-1)
if(mask&(1ll<<i))
dp[mask]+=dp[mask^(1ll<<i)];
rep(i,0,l-1)
rep(mask,0,(1ll<<l)-1)
if(mask&(1ll<<i))
dp2[mask]+=dp2[mask^(1ll<<i)];
while(q--)
{
string str;
cin>>str;
reverse(all(str));
ll c0=0, c1=0, cq=0;
for(auto x:str)
if(x=='0')
c0++;
else if(x=='1')
c1++;
else
cq++;
ll c=min({c0,c1,cq});
ll ans=0;
if(c0==c)
{
ll mask=0, base=0;
rep(i,0,l-1)
if(str[i]=='?')
base^=(1ll<<i);
else if(str[i]=='0')
mask^=(1ll<<i);
for(ll submask=mask;;submask=(submask-1)&mask)
{
ll dir=__builtin_popcount(mask)-__builtin_popcount(submask);
if(dir&1)
ans-=dp[base^submask];
else
ans+=dp[base^submask];
if(!submask)
break;
}
}
else if(c1==c)
{
ll mask=0, base=0;
rep(i,0,l-1)
if(str[i]=='1')
mask^=(1ll<<i);
else if(str[i]=='?')
base^=(1ll<<i);
for(ll submask=mask;;submask=(submask-1)&mask)
{
ll dir=__builtin_popcount(mask)-__builtin_popcount(submask);
if(dir&1)
ans-=dp2[base^submask];
else
ans+=dp2[base^submask];
if(!submask)
break;
}
}
else if(cq==c)
{
ll mask=0, base=0;
rep(i,0,l-1)
if(str[i]=='1')
base^=(1ll<<i);
else if(str[i]=='?')
mask^=(1ll<<i);
for(ll submask=mask;;submask=(submask-1)&mask)
{
ans+=v[base^submask];
if(!submask)
break;
}
}
cout<<ans<<endl;
}
return 0;
}
/*
3 6
12345678
011
000
0??
1?0
?11
???
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
24916 KB |
Output is correct |
2 |
Correct |
10 ms |
24916 KB |
Output is correct |
3 |
Correct |
11 ms |
24916 KB |
Output is correct |
4 |
Correct |
11 ms |
24916 KB |
Output is correct |
5 |
Correct |
10 ms |
24916 KB |
Output is correct |
6 |
Correct |
12 ms |
24836 KB |
Output is correct |
7 |
Correct |
11 ms |
24924 KB |
Output is correct |
8 |
Correct |
10 ms |
24948 KB |
Output is correct |
9 |
Correct |
10 ms |
24916 KB |
Output is correct |
10 |
Correct |
10 ms |
24908 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
24916 KB |
Output is correct |
2 |
Correct |
10 ms |
24916 KB |
Output is correct |
3 |
Correct |
11 ms |
24916 KB |
Output is correct |
4 |
Correct |
11 ms |
24916 KB |
Output is correct |
5 |
Correct |
10 ms |
24916 KB |
Output is correct |
6 |
Correct |
12 ms |
24836 KB |
Output is correct |
7 |
Correct |
11 ms |
24924 KB |
Output is correct |
8 |
Correct |
10 ms |
24948 KB |
Output is correct |
9 |
Correct |
10 ms |
24916 KB |
Output is correct |
10 |
Correct |
10 ms |
24908 KB |
Output is correct |
11 |
Correct |
222 ms |
39608 KB |
Output is correct |
12 |
Correct |
220 ms |
39260 KB |
Output is correct |
13 |
Correct |
260 ms |
38512 KB |
Output is correct |
14 |
Correct |
278 ms |
38644 KB |
Output is correct |
15 |
Correct |
262 ms |
39656 KB |
Output is correct |
16 |
Correct |
281 ms |
38772 KB |
Output is correct |
17 |
Correct |
282 ms |
38732 KB |
Output is correct |
18 |
Correct |
175 ms |
40696 KB |
Output is correct |
19 |
Correct |
211 ms |
37568 KB |
Output is correct |
20 |
Correct |
241 ms |
39312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
24916 KB |
Output is correct |
2 |
Correct |
10 ms |
24916 KB |
Output is correct |
3 |
Correct |
11 ms |
24916 KB |
Output is correct |
4 |
Correct |
11 ms |
24916 KB |
Output is correct |
5 |
Correct |
10 ms |
24916 KB |
Output is correct |
6 |
Correct |
12 ms |
24836 KB |
Output is correct |
7 |
Correct |
11 ms |
24924 KB |
Output is correct |
8 |
Correct |
10 ms |
24948 KB |
Output is correct |
9 |
Correct |
10 ms |
24916 KB |
Output is correct |
10 |
Correct |
10 ms |
24908 KB |
Output is correct |
11 |
Correct |
222 ms |
39608 KB |
Output is correct |
12 |
Correct |
220 ms |
39260 KB |
Output is correct |
13 |
Correct |
260 ms |
38512 KB |
Output is correct |
14 |
Correct |
278 ms |
38644 KB |
Output is correct |
15 |
Correct |
262 ms |
39656 KB |
Output is correct |
16 |
Correct |
281 ms |
38772 KB |
Output is correct |
17 |
Correct |
282 ms |
38732 KB |
Output is correct |
18 |
Correct |
175 ms |
40696 KB |
Output is correct |
19 |
Correct |
211 ms |
37568 KB |
Output is correct |
20 |
Correct |
241 ms |
39312 KB |
Output is correct |
21 |
Correct |
260 ms |
42576 KB |
Output is correct |
22 |
Correct |
258 ms |
42836 KB |
Output is correct |
23 |
Correct |
322 ms |
41840 KB |
Output is correct |
24 |
Correct |
377 ms |
41536 KB |
Output is correct |
25 |
Correct |
320 ms |
43568 KB |
Output is correct |
26 |
Correct |
369 ms |
42140 KB |
Output is correct |
27 |
Correct |
365 ms |
42124 KB |
Output is correct |
28 |
Correct |
191 ms |
44600 KB |
Output is correct |
29 |
Correct |
275 ms |
40520 KB |
Output is correct |
30 |
Correct |
288 ms |
42756 KB |
Output is correct |
31 |
Correct |
346 ms |
42600 KB |
Output is correct |
32 |
Correct |
381 ms |
42648 KB |
Output is correct |
33 |
Correct |
296 ms |
41544 KB |
Output is correct |
34 |
Correct |
375 ms |
41620 KB |
Output is correct |
35 |
Correct |
365 ms |
42064 KB |
Output is correct |
36 |
Correct |
215 ms |
40516 KB |
Output is correct |
37 |
Correct |
242 ms |
42576 KB |
Output is correct |
38 |
Correct |
299 ms |
40560 KB |
Output is correct |
39 |
Correct |
322 ms |
41744 KB |
Output is correct |
40 |
Correct |
366 ms |
41620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
24916 KB |
Output is correct |
2 |
Correct |
10 ms |
24916 KB |
Output is correct |
3 |
Correct |
11 ms |
24916 KB |
Output is correct |
4 |
Correct |
11 ms |
24916 KB |
Output is correct |
5 |
Correct |
10 ms |
24916 KB |
Output is correct |
6 |
Correct |
12 ms |
24836 KB |
Output is correct |
7 |
Correct |
11 ms |
24924 KB |
Output is correct |
8 |
Correct |
10 ms |
24948 KB |
Output is correct |
9 |
Correct |
10 ms |
24916 KB |
Output is correct |
10 |
Correct |
10 ms |
24908 KB |
Output is correct |
11 |
Correct |
92 ms |
28368 KB |
Output is correct |
12 |
Correct |
76 ms |
28432 KB |
Output is correct |
13 |
Correct |
97 ms |
28304 KB |
Output is correct |
14 |
Correct |
123 ms |
28396 KB |
Output is correct |
15 |
Correct |
77 ms |
28376 KB |
Output is correct |
16 |
Correct |
112 ms |
28292 KB |
Output is correct |
17 |
Correct |
110 ms |
28344 KB |
Output is correct |
18 |
Correct |
80 ms |
28504 KB |
Output is correct |
19 |
Correct |
77 ms |
28308 KB |
Output is correct |
20 |
Correct |
85 ms |
28360 KB |
Output is correct |
21 |
Correct |
112 ms |
28440 KB |
Output is correct |
22 |
Correct |
126 ms |
28368 KB |
Output is correct |
23 |
Correct |
82 ms |
28268 KB |
Output is correct |
24 |
Correct |
113 ms |
28368 KB |
Output is correct |
25 |
Correct |
115 ms |
28320 KB |
Output is correct |
26 |
Correct |
77 ms |
28272 KB |
Output is correct |
27 |
Correct |
87 ms |
28296 KB |
Output is correct |
28 |
Correct |
80 ms |
28296 KB |
Output is correct |
29 |
Correct |
91 ms |
28272 KB |
Output is correct |
30 |
Correct |
95 ms |
28436 KB |
Output is correct |
31 |
Correct |
104 ms |
28428 KB |
Output is correct |
32 |
Correct |
122 ms |
28428 KB |
Output is correct |
33 |
Correct |
112 ms |
28380 KB |
Output is correct |
34 |
Correct |
70 ms |
28248 KB |
Output is correct |
35 |
Correct |
94 ms |
28340 KB |
Output is correct |
36 |
Correct |
108 ms |
28264 KB |
Output is correct |
37 |
Correct |
102 ms |
28364 KB |
Output is correct |
38 |
Correct |
95 ms |
28420 KB |
Output is correct |
39 |
Correct |
97 ms |
28312 KB |
Output is correct |
40 |
Correct |
100 ms |
28264 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
24916 KB |
Output is correct |
2 |
Correct |
10 ms |
24916 KB |
Output is correct |
3 |
Correct |
11 ms |
24916 KB |
Output is correct |
4 |
Correct |
11 ms |
24916 KB |
Output is correct |
5 |
Correct |
10 ms |
24916 KB |
Output is correct |
6 |
Correct |
12 ms |
24836 KB |
Output is correct |
7 |
Correct |
11 ms |
24924 KB |
Output is correct |
8 |
Correct |
10 ms |
24948 KB |
Output is correct |
9 |
Correct |
10 ms |
24916 KB |
Output is correct |
10 |
Correct |
10 ms |
24908 KB |
Output is correct |
11 |
Correct |
222 ms |
39608 KB |
Output is correct |
12 |
Correct |
220 ms |
39260 KB |
Output is correct |
13 |
Correct |
260 ms |
38512 KB |
Output is correct |
14 |
Correct |
278 ms |
38644 KB |
Output is correct |
15 |
Correct |
262 ms |
39656 KB |
Output is correct |
16 |
Correct |
281 ms |
38772 KB |
Output is correct |
17 |
Correct |
282 ms |
38732 KB |
Output is correct |
18 |
Correct |
175 ms |
40696 KB |
Output is correct |
19 |
Correct |
211 ms |
37568 KB |
Output is correct |
20 |
Correct |
241 ms |
39312 KB |
Output is correct |
21 |
Correct |
260 ms |
42576 KB |
Output is correct |
22 |
Correct |
258 ms |
42836 KB |
Output is correct |
23 |
Correct |
322 ms |
41840 KB |
Output is correct |
24 |
Correct |
377 ms |
41536 KB |
Output is correct |
25 |
Correct |
320 ms |
43568 KB |
Output is correct |
26 |
Correct |
369 ms |
42140 KB |
Output is correct |
27 |
Correct |
365 ms |
42124 KB |
Output is correct |
28 |
Correct |
191 ms |
44600 KB |
Output is correct |
29 |
Correct |
275 ms |
40520 KB |
Output is correct |
30 |
Correct |
288 ms |
42756 KB |
Output is correct |
31 |
Correct |
346 ms |
42600 KB |
Output is correct |
32 |
Correct |
381 ms |
42648 KB |
Output is correct |
33 |
Correct |
296 ms |
41544 KB |
Output is correct |
34 |
Correct |
375 ms |
41620 KB |
Output is correct |
35 |
Correct |
365 ms |
42064 KB |
Output is correct |
36 |
Correct |
215 ms |
40516 KB |
Output is correct |
37 |
Correct |
242 ms |
42576 KB |
Output is correct |
38 |
Correct |
299 ms |
40560 KB |
Output is correct |
39 |
Correct |
322 ms |
41744 KB |
Output is correct |
40 |
Correct |
366 ms |
41620 KB |
Output is correct |
41 |
Correct |
92 ms |
28368 KB |
Output is correct |
42 |
Correct |
76 ms |
28432 KB |
Output is correct |
43 |
Correct |
97 ms |
28304 KB |
Output is correct |
44 |
Correct |
123 ms |
28396 KB |
Output is correct |
45 |
Correct |
77 ms |
28376 KB |
Output is correct |
46 |
Correct |
112 ms |
28292 KB |
Output is correct |
47 |
Correct |
110 ms |
28344 KB |
Output is correct |
48 |
Correct |
80 ms |
28504 KB |
Output is correct |
49 |
Correct |
77 ms |
28308 KB |
Output is correct |
50 |
Correct |
85 ms |
28360 KB |
Output is correct |
51 |
Correct |
112 ms |
28440 KB |
Output is correct |
52 |
Correct |
126 ms |
28368 KB |
Output is correct |
53 |
Correct |
82 ms |
28268 KB |
Output is correct |
54 |
Correct |
113 ms |
28368 KB |
Output is correct |
55 |
Correct |
115 ms |
28320 KB |
Output is correct |
56 |
Correct |
77 ms |
28272 KB |
Output is correct |
57 |
Correct |
87 ms |
28296 KB |
Output is correct |
58 |
Correct |
80 ms |
28296 KB |
Output is correct |
59 |
Correct |
91 ms |
28272 KB |
Output is correct |
60 |
Correct |
95 ms |
28436 KB |
Output is correct |
61 |
Correct |
104 ms |
28428 KB |
Output is correct |
62 |
Correct |
122 ms |
28428 KB |
Output is correct |
63 |
Correct |
112 ms |
28380 KB |
Output is correct |
64 |
Correct |
70 ms |
28248 KB |
Output is correct |
65 |
Correct |
94 ms |
28340 KB |
Output is correct |
66 |
Correct |
108 ms |
28264 KB |
Output is correct |
67 |
Correct |
102 ms |
28364 KB |
Output is correct |
68 |
Correct |
95 ms |
28420 KB |
Output is correct |
69 |
Correct |
97 ms |
28312 KB |
Output is correct |
70 |
Correct |
100 ms |
28264 KB |
Output is correct |
71 |
Correct |
508 ms |
47476 KB |
Output is correct |
72 |
Correct |
451 ms |
47740 KB |
Output is correct |
73 |
Correct |
690 ms |
46256 KB |
Output is correct |
74 |
Correct |
1224 ms |
46588 KB |
Output is correct |
75 |
Correct |
501 ms |
48848 KB |
Output is correct |
76 |
Correct |
1147 ms |
47252 KB |
Output is correct |
77 |
Correct |
1032 ms |
47116 KB |
Output is correct |
78 |
Correct |
316 ms |
51156 KB |
Output is correct |
79 |
Correct |
494 ms |
45256 KB |
Output is correct |
80 |
Correct |
565 ms |
48524 KB |
Output is correct |
81 |
Correct |
741 ms |
48476 KB |
Output is correct |
82 |
Correct |
1271 ms |
47440 KB |
Output is correct |
83 |
Correct |
529 ms |
46836 KB |
Output is correct |
84 |
Correct |
1250 ms |
47724 KB |
Output is correct |
85 |
Correct |
1085 ms |
47844 KB |
Output is correct |
86 |
Correct |
352 ms |
45556 KB |
Output is correct |
87 |
Correct |
480 ms |
48784 KB |
Output is correct |
88 |
Correct |
541 ms |
45932 KB |
Output is correct |
89 |
Correct |
733 ms |
47636 KB |
Output is correct |
90 |
Correct |
768 ms |
48144 KB |
Output is correct |
91 |
Correct |
512 ms |
47420 KB |
Output is correct |
92 |
Correct |
1258 ms |
48724 KB |
Output is correct |
93 |
Correct |
963 ms |
48616 KB |
Output is correct |
94 |
Correct |
307 ms |
46456 KB |
Output is correct |
95 |
Correct |
844 ms |
48808 KB |
Output is correct |
96 |
Correct |
845 ms |
48800 KB |
Output is correct |
97 |
Correct |
850 ms |
49064 KB |
Output is correct |
98 |
Correct |
811 ms |
48892 KB |
Output is correct |
99 |
Correct |
825 ms |
49044 KB |
Output is correct |
100 |
Correct |
889 ms |
48868 KB |
Output is correct |