#include<bits/stdc++.h>
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
// #pragma GCC optimization("unroll-loops")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("fast-math")
// #pragma GCC optimize("no-stack-protector")
#define ll long long
// #define ll ll
#define f(i,a,b) for(ll i=a;i<b;i++)
// #define mod 1000000007
#define mod 998244353
#define mp make_pair
#define uniq(v) (v).erase(unique(all(v)),(v).end())
#define ff first
#define ss second
#define rf(i,a,b) for(ll i=a;i>=b;i--)
#define sc(a) scanf("%lld",&a)
#define pf prllf
#define sz(a) (ll)(a.size())
#define psf push_front
#define ppf pop_front
#define ppb pop_back
#define pb push_back
#define pq priority_queue
#define all(s) s.begin(),s.end()
#define sp(a) setprecision(a)
#define rz resize
#define ld long double
#define inf (ll)1e18
#define ub upper_bound
#define lb lower_bound
#define bs binary_search
#define eb emplace_back
const double pi = acos(-1);
// ll binpow(ll a, ll b){ll res=1;while(b!=0){if(b&1)res*=a;a*=a;b>>=1;}return res;}
ll binpow(ll a, ll b, ll md){ll res=1;while(b!=0){if(b&1)res*=a,res%=md;a*=a,a%=md;b>>=1;}return res%md;}
using namespace std;
int n,q;
string s;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("gift1.in","r",stdin);
// freopen("gift1.out","w",stdout);
// #ifndef ONLINE_JUDGE
// freopen("input.txt","r",stdin);
// freopen("output.txt","w",stdout);
// #endif
int z=1;
// cin>>z;
while(z--)
{
cin>>n>>q>>s;
int sup[1<<n|1],sub[1<<n|1],cnt[1<<n|1];
for(int mask=0;mask<(1<<n);mask++)
sub[mask]=sup[mask]=(s[mask]-'0'),cnt[mask]=__builtin_popcount(mask);
f(i,0,n)
{
for(int mask=0;mask<(1<<n);mask++)
{
if(mask&(1<<i))
sub[mask]+=sub[mask^(1<<i)];
else
sup[mask]+=sup[mask^(1<<i)];
}
}
while(q--)
{
string str;
cin>>str;
reverse(all(str));
int mask1=0,mask2=0,mask3=0;
f(i,0,n)
{
if(str[i]=='?')
mask1|=(1<<i);
else if(str[i]=='0')
mask2|=(1<<i);
else
mask3|=(1<<i);
}
int ans=0;
if(cnt[mask1]<=cnt[mask2] && cnt[mask1]<=cnt[mask3])
{
for(int submask=mask1;submask>0;submask=((submask-1)&mask1))
ans+=(s[mask3|submask]-'0');
ans+=(s[mask3]-'0');
}
else if(cnt[mask2]<=cnt[mask3] && cnt[mask2]<=cnt[mask1])
{
for(int submask=mask2;submask>0;submask=(mask2&(submask-1)))
ans+=(((cnt[submask]&1)?-1:1)*sup[submask|mask3]);
ans+=sup[mask3];
}
else
{
for(int submask=mask3;submask>0;submask=(mask3&(submask-1)))
ans+=(((cnt[submask]&1)?-1:1)*sub[submask|mask1]);
ans+=sub[mask1];
}
cout<<abs(ans)<<"\n";
}
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
239 ms |
15160 KB |
Output is correct |
12 |
Correct |
264 ms |
14724 KB |
Output is correct |
13 |
Correct |
303 ms |
13952 KB |
Output is correct |
14 |
Correct |
273 ms |
14080 KB |
Output is correct |
15 |
Correct |
267 ms |
15012 KB |
Output is correct |
16 |
Correct |
329 ms |
14148 KB |
Output is correct |
17 |
Correct |
318 ms |
14180 KB |
Output is correct |
18 |
Correct |
198 ms |
16036 KB |
Output is correct |
19 |
Correct |
235 ms |
12996 KB |
Output is correct |
20 |
Correct |
315 ms |
14644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
239 ms |
15160 KB |
Output is correct |
12 |
Correct |
264 ms |
14724 KB |
Output is correct |
13 |
Correct |
303 ms |
13952 KB |
Output is correct |
14 |
Correct |
273 ms |
14080 KB |
Output is correct |
15 |
Correct |
267 ms |
15012 KB |
Output is correct |
16 |
Correct |
329 ms |
14148 KB |
Output is correct |
17 |
Correct |
318 ms |
14180 KB |
Output is correct |
18 |
Correct |
198 ms |
16036 KB |
Output is correct |
19 |
Correct |
235 ms |
12996 KB |
Output is correct |
20 |
Correct |
315 ms |
14644 KB |
Output is correct |
21 |
Correct |
306 ms |
18108 KB |
Output is correct |
22 |
Correct |
286 ms |
18296 KB |
Output is correct |
23 |
Correct |
317 ms |
17272 KB |
Output is correct |
24 |
Correct |
324 ms |
17052 KB |
Output is correct |
25 |
Correct |
303 ms |
19140 KB |
Output is correct |
26 |
Correct |
358 ms |
17588 KB |
Output is correct |
27 |
Correct |
351 ms |
17536 KB |
Output is correct |
28 |
Correct |
212 ms |
20124 KB |
Output is correct |
29 |
Correct |
266 ms |
16060 KB |
Output is correct |
30 |
Correct |
291 ms |
18316 KB |
Output is correct |
31 |
Correct |
331 ms |
18244 KB |
Output is correct |
32 |
Correct |
346 ms |
18112 KB |
Output is correct |
33 |
Correct |
282 ms |
17044 KB |
Output is correct |
34 |
Correct |
332 ms |
17116 KB |
Output is correct |
35 |
Correct |
348 ms |
17632 KB |
Output is correct |
36 |
Correct |
215 ms |
16068 KB |
Output is correct |
37 |
Correct |
276 ms |
18132 KB |
Output is correct |
38 |
Correct |
284 ms |
16096 KB |
Output is correct |
39 |
Correct |
314 ms |
17220 KB |
Output is correct |
40 |
Correct |
325 ms |
17188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
73 ms |
16028 KB |
Output is correct |
12 |
Correct |
66 ms |
16008 KB |
Output is correct |
13 |
Correct |
66 ms |
15892 KB |
Output is correct |
14 |
Correct |
109 ms |
15972 KB |
Output is correct |
15 |
Correct |
64 ms |
16068 KB |
Output is correct |
16 |
Correct |
90 ms |
15952 KB |
Output is correct |
17 |
Correct |
80 ms |
15944 KB |
Output is correct |
18 |
Correct |
49 ms |
16100 KB |
Output is correct |
19 |
Correct |
59 ms |
15844 KB |
Output is correct |
20 |
Correct |
61 ms |
16100 KB |
Output is correct |
21 |
Correct |
70 ms |
16068 KB |
Output is correct |
22 |
Correct |
76 ms |
15932 KB |
Output is correct |
23 |
Correct |
57 ms |
15940 KB |
Output is correct |
24 |
Correct |
79 ms |
15972 KB |
Output is correct |
25 |
Correct |
82 ms |
15944 KB |
Output is correct |
26 |
Correct |
46 ms |
15844 KB |
Output is correct |
27 |
Correct |
58 ms |
16036 KB |
Output is correct |
28 |
Correct |
57 ms |
15808 KB |
Output is correct |
29 |
Correct |
70 ms |
15892 KB |
Output is correct |
30 |
Correct |
66 ms |
15940 KB |
Output is correct |
31 |
Correct |
58 ms |
15932 KB |
Output is correct |
32 |
Correct |
85 ms |
15936 KB |
Output is correct |
33 |
Correct |
82 ms |
16024 KB |
Output is correct |
34 |
Correct |
49 ms |
15904 KB |
Output is correct |
35 |
Correct |
77 ms |
15972 KB |
Output is correct |
36 |
Correct |
77 ms |
15940 KB |
Output is correct |
37 |
Correct |
74 ms |
16000 KB |
Output is correct |
38 |
Correct |
70 ms |
15972 KB |
Output is correct |
39 |
Correct |
69 ms |
15932 KB |
Output is correct |
40 |
Correct |
92 ms |
16028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
324 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
320 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
239 ms |
15160 KB |
Output is correct |
12 |
Correct |
264 ms |
14724 KB |
Output is correct |
13 |
Correct |
303 ms |
13952 KB |
Output is correct |
14 |
Correct |
273 ms |
14080 KB |
Output is correct |
15 |
Correct |
267 ms |
15012 KB |
Output is correct |
16 |
Correct |
329 ms |
14148 KB |
Output is correct |
17 |
Correct |
318 ms |
14180 KB |
Output is correct |
18 |
Correct |
198 ms |
16036 KB |
Output is correct |
19 |
Correct |
235 ms |
12996 KB |
Output is correct |
20 |
Correct |
315 ms |
14644 KB |
Output is correct |
21 |
Correct |
306 ms |
18108 KB |
Output is correct |
22 |
Correct |
286 ms |
18296 KB |
Output is correct |
23 |
Correct |
317 ms |
17272 KB |
Output is correct |
24 |
Correct |
324 ms |
17052 KB |
Output is correct |
25 |
Correct |
303 ms |
19140 KB |
Output is correct |
26 |
Correct |
358 ms |
17588 KB |
Output is correct |
27 |
Correct |
351 ms |
17536 KB |
Output is correct |
28 |
Correct |
212 ms |
20124 KB |
Output is correct |
29 |
Correct |
266 ms |
16060 KB |
Output is correct |
30 |
Correct |
291 ms |
18316 KB |
Output is correct |
31 |
Correct |
331 ms |
18244 KB |
Output is correct |
32 |
Correct |
346 ms |
18112 KB |
Output is correct |
33 |
Correct |
282 ms |
17044 KB |
Output is correct |
34 |
Correct |
332 ms |
17116 KB |
Output is correct |
35 |
Correct |
348 ms |
17632 KB |
Output is correct |
36 |
Correct |
215 ms |
16068 KB |
Output is correct |
37 |
Correct |
276 ms |
18132 KB |
Output is correct |
38 |
Correct |
284 ms |
16096 KB |
Output is correct |
39 |
Correct |
314 ms |
17220 KB |
Output is correct |
40 |
Correct |
325 ms |
17188 KB |
Output is correct |
41 |
Correct |
73 ms |
16028 KB |
Output is correct |
42 |
Correct |
66 ms |
16008 KB |
Output is correct |
43 |
Correct |
66 ms |
15892 KB |
Output is correct |
44 |
Correct |
109 ms |
15972 KB |
Output is correct |
45 |
Correct |
64 ms |
16068 KB |
Output is correct |
46 |
Correct |
90 ms |
15952 KB |
Output is correct |
47 |
Correct |
80 ms |
15944 KB |
Output is correct |
48 |
Correct |
49 ms |
16100 KB |
Output is correct |
49 |
Correct |
59 ms |
15844 KB |
Output is correct |
50 |
Correct |
61 ms |
16100 KB |
Output is correct |
51 |
Correct |
70 ms |
16068 KB |
Output is correct |
52 |
Correct |
76 ms |
15932 KB |
Output is correct |
53 |
Correct |
57 ms |
15940 KB |
Output is correct |
54 |
Correct |
79 ms |
15972 KB |
Output is correct |
55 |
Correct |
82 ms |
15944 KB |
Output is correct |
56 |
Correct |
46 ms |
15844 KB |
Output is correct |
57 |
Correct |
58 ms |
16036 KB |
Output is correct |
58 |
Correct |
57 ms |
15808 KB |
Output is correct |
59 |
Correct |
70 ms |
15892 KB |
Output is correct |
60 |
Correct |
66 ms |
15940 KB |
Output is correct |
61 |
Correct |
58 ms |
15932 KB |
Output is correct |
62 |
Correct |
85 ms |
15936 KB |
Output is correct |
63 |
Correct |
82 ms |
16024 KB |
Output is correct |
64 |
Correct |
49 ms |
15904 KB |
Output is correct |
65 |
Correct |
77 ms |
15972 KB |
Output is correct |
66 |
Correct |
77 ms |
15940 KB |
Output is correct |
67 |
Correct |
74 ms |
16000 KB |
Output is correct |
68 |
Correct |
70 ms |
15972 KB |
Output is correct |
69 |
Correct |
69 ms |
15932 KB |
Output is correct |
70 |
Correct |
92 ms |
16028 KB |
Output is correct |
71 |
Correct |
508 ms |
40344 KB |
Output is correct |
72 |
Correct |
563 ms |
40420 KB |
Output is correct |
73 |
Correct |
674 ms |
39028 KB |
Output is correct |
74 |
Correct |
1004 ms |
39376 KB |
Output is correct |
75 |
Correct |
609 ms |
41372 KB |
Output is correct |
76 |
Correct |
1129 ms |
39640 KB |
Output is correct |
77 |
Correct |
1043 ms |
39580 KB |
Output is correct |
78 |
Correct |
348 ms |
43308 KB |
Output is correct |
79 |
Correct |
478 ms |
37236 KB |
Output is correct |
80 |
Correct |
548 ms |
40564 KB |
Output is correct |
81 |
Correct |
913 ms |
40372 KB |
Output is correct |
82 |
Correct |
1288 ms |
39412 KB |
Output is correct |
83 |
Correct |
537 ms |
38480 KB |
Output is correct |
84 |
Correct |
953 ms |
39260 KB |
Output is correct |
85 |
Correct |
1068 ms |
39552 KB |
Output is correct |
86 |
Correct |
303 ms |
37356 KB |
Output is correct |
87 |
Correct |
527 ms |
40300 KB |
Output is correct |
88 |
Correct |
504 ms |
37260 KB |
Output is correct |
89 |
Correct |
659 ms |
39008 KB |
Output is correct |
90 |
Correct |
645 ms |
39436 KB |
Output is correct |
91 |
Correct |
485 ms |
38452 KB |
Output is correct |
92 |
Correct |
1168 ms |
39668 KB |
Output is correct |
93 |
Correct |
981 ms |
39624 KB |
Output is correct |
94 |
Correct |
342 ms |
37308 KB |
Output is correct |
95 |
Correct |
802 ms |
39452 KB |
Output is correct |
96 |
Correct |
826 ms |
39516 KB |
Output is correct |
97 |
Correct |
861 ms |
39412 KB |
Output is correct |
98 |
Correct |
906 ms |
39428 KB |
Output is correct |
99 |
Correct |
899 ms |
39672 KB |
Output is correct |
100 |
Correct |
855 ms |
39508 KB |
Output is correct |