Submission #966264

# Submission time Handle Problem Language Result Execution time Memory
966264 2024-04-19T15:42:45 Z 8pete8 Snake Escaping (JOI18_snake_escaping) C++17
75 / 100
2000 ms 56052 KB
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include <cassert>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric> //gcd(a,b)
#include<bitset>
#include <cstdlib> 
#include <cstdint>
using namespace std;
#define ll long long
#define f first
//#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
using namespace std;
#define int long long
#define double long double
const int mod=998244353,mxn=3e5+5,lg=60,inf=1e18,minf=-1e18,Mxn=1e6+50000;
int dp1[Mxn+10],dp0[Mxn+10],cost[Mxn+10];
int32_t main(){
	fastio
	int n,q;cin>>n>>q;
	string a;cin>>a;
	for(int i=0;i<(1LL<<n);i++)cost[i]=dp1[i]=dp0[i]=(a[i]-'0');
	for(int i=0;i<n;i++)for(int j=0;j<(1LL<<n);j++)if(j&(1LL<<i))dp1[j]+=dp1[j^(1LL<<i)];
	for(int i=0;i<n;i++)for(int j=(1LL<<n)-1;j>=0;j--)if(!(j&(1LL<<i)))dp0[j]+=dp0[j+(1LL<<i)];
	while(q--){
		cin>>a;
		reverse(all(a));
		int x=0,y=0;
		vector<int>o,z,c;
		for(int i=0;i<n;i++){
			if(a[i]=='1')x+=(1LL<<i),o.pb(i),y+=(1LL<<i);
			else if(a[i]=='?')x+=(1LL<<i),c.pb(i);
			else z.pb(i);
		}
		int m=0;
		int ans=0;
		if(c.size()<=5){
			m=c.size();
			for(int i=0;i<(1LL<<m);i++){
				for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x-=(1LL<<c[j]);
				ans+=cost[x];
				for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x+=(1LL<<c[j]);
			}
		}
		else if(o.size()<z.size()){
			ans=dp1[x];
			m=o.size();
			for(int i=0;i<(1LL<<m)-1;i++){
				int cnt=0;
				for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x-=(1LL<<o[j]),cnt++;
				if(cnt%2)ans-=dp1[x];
				else ans+=dp1[x];
				for(int j=0;j<m;j++)if((i&(1LL<<j))==0)x+=(1LL<<o[j]);
			}
			/*
			*/
		}
		else{
			ans=dp0[y];
			m=z.size();
			for(int i=1;i<(1LL<<m);i++){
				int cnt=0;
				for(int j=0;j<m;j++)if((i&(1LL<<j)))y+=(1LL<<z[j]),cnt++;
				if(cnt%2)ans-=dp0[y];
				else ans+=dp0[y];
				for(int j=0;j<m;j++)if((i&(1LL<<j)))y-=(1LL<<z[j]);
			}
			/*
			*/
		}
		cout<<ans<<'\n';
		//return 0;
		//cout<<dp1[x]<<" "<<dp0[y]<<'\n';
	}
}
/*
if cnt? <= sqrt(m) we can do (2^4)? bruteforce (maybe even 5)
else we can do sos dp and somehow remove the overcount
we can turn all ? into one and get sos of that bit
overcount when "1" bit that is originaly turned on switch to 0(for subset)
we can switch them off and subtract from the original answer so it cost 2^(cnt1){
	we need to somehow do pie
	starting from original answer-> if we turn off 1 bit
	ans-(turn of x bit)-(turn of y bit)+(turn of x and y bit)
	so if cnt%2==1 then we subtract
	else we add back in
}
cnt1 can be at most 16,worst case is all 1 (2^16)
we can also do sos dp where 0 is now the "switchable" value
so if cnt0<cnt1 we take do from 0 dp else from 1
tc-> worst case q*(2^m)*m
pre com time is m*(2^m+1)
q*(x*(2^x)+(2^(m-x)/2))
*/
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4700 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4700 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 730 ms 19284 KB Output is correct
12 Correct 501 ms 18772 KB Output is correct
13 Correct 468 ms 18000 KB Output is correct
14 Correct 472 ms 18248 KB Output is correct
15 Correct 400 ms 19212 KB Output is correct
16 Correct 555 ms 18308 KB Output is correct
17 Correct 600 ms 18216 KB Output is correct
18 Correct 259 ms 20160 KB Output is correct
19 Correct 368 ms 17184 KB Output is correct
20 Correct 492 ms 18772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4700 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 730 ms 19284 KB Output is correct
12 Correct 501 ms 18772 KB Output is correct
13 Correct 468 ms 18000 KB Output is correct
14 Correct 472 ms 18248 KB Output is correct
15 Correct 400 ms 19212 KB Output is correct
16 Correct 555 ms 18308 KB Output is correct
17 Correct 600 ms 18216 KB Output is correct
18 Correct 259 ms 20160 KB Output is correct
19 Correct 368 ms 17184 KB Output is correct
20 Correct 492 ms 18772 KB Output is correct
21 Correct 399 ms 22460 KB Output is correct
22 Correct 513 ms 22672 KB Output is correct
23 Correct 646 ms 21580 KB Output is correct
24 Correct 625 ms 21332 KB Output is correct
25 Correct 434 ms 23232 KB Output is correct
26 Correct 655 ms 21752 KB Output is correct
27 Correct 651 ms 21784 KB Output is correct
28 Correct 264 ms 24380 KB Output is correct
29 Correct 389 ms 20308 KB Output is correct
30 Correct 488 ms 22532 KB Output is correct
31 Correct 525 ms 22404 KB Output is correct
32 Correct 789 ms 22328 KB Output is correct
33 Correct 531 ms 21200 KB Output is correct
34 Correct 629 ms 21228 KB Output is correct
35 Correct 649 ms 21836 KB Output is correct
36 Correct 279 ms 20124 KB Output is correct
37 Correct 411 ms 22284 KB Output is correct
38 Correct 408 ms 20304 KB Output is correct
39 Correct 636 ms 21324 KB Output is correct
40 Correct 629 ms 21280 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4700 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 67 ms 28660 KB Output is correct
12 Correct 56 ms 28408 KB Output is correct
13 Correct 74 ms 28432 KB Output is correct
14 Correct 103 ms 28404 KB Output is correct
15 Correct 74 ms 28540 KB Output is correct
16 Correct 110 ms 28404 KB Output is correct
17 Correct 108 ms 28404 KB Output is correct
18 Correct 42 ms 28472 KB Output is correct
19 Correct 54 ms 28292 KB Output is correct
20 Correct 65 ms 28532 KB Output is correct
21 Correct 72 ms 28404 KB Output is correct
22 Correct 101 ms 28404 KB Output is correct
23 Correct 78 ms 28404 KB Output is correct
24 Correct 142 ms 28528 KB Output is correct
25 Correct 108 ms 28404 KB Output is correct
26 Correct 41 ms 28148 KB Output is correct
27 Correct 64 ms 28412 KB Output is correct
28 Correct 55 ms 28148 KB Output is correct
29 Correct 86 ms 28512 KB Output is correct
30 Correct 147 ms 28440 KB Output is correct
31 Correct 61 ms 28400 KB Output is correct
32 Correct 114 ms 28472 KB Output is correct
33 Correct 113 ms 28408 KB Output is correct
34 Correct 44 ms 28276 KB Output is correct
35 Correct 104 ms 28404 KB Output is correct
36 Correct 104 ms 28492 KB Output is correct
37 Correct 105 ms 28508 KB Output is correct
38 Correct 89 ms 28296 KB Output is correct
39 Correct 123 ms 28404 KB Output is correct
40 Correct 88 ms 28288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 2 ms 4700 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 730 ms 19284 KB Output is correct
12 Correct 501 ms 18772 KB Output is correct
13 Correct 468 ms 18000 KB Output is correct
14 Correct 472 ms 18248 KB Output is correct
15 Correct 400 ms 19212 KB Output is correct
16 Correct 555 ms 18308 KB Output is correct
17 Correct 600 ms 18216 KB Output is correct
18 Correct 259 ms 20160 KB Output is correct
19 Correct 368 ms 17184 KB Output is correct
20 Correct 492 ms 18772 KB Output is correct
21 Correct 399 ms 22460 KB Output is correct
22 Correct 513 ms 22672 KB Output is correct
23 Correct 646 ms 21580 KB Output is correct
24 Correct 625 ms 21332 KB Output is correct
25 Correct 434 ms 23232 KB Output is correct
26 Correct 655 ms 21752 KB Output is correct
27 Correct 651 ms 21784 KB Output is correct
28 Correct 264 ms 24380 KB Output is correct
29 Correct 389 ms 20308 KB Output is correct
30 Correct 488 ms 22532 KB Output is correct
31 Correct 525 ms 22404 KB Output is correct
32 Correct 789 ms 22328 KB Output is correct
33 Correct 531 ms 21200 KB Output is correct
34 Correct 629 ms 21228 KB Output is correct
35 Correct 649 ms 21836 KB Output is correct
36 Correct 279 ms 20124 KB Output is correct
37 Correct 411 ms 22284 KB Output is correct
38 Correct 408 ms 20304 KB Output is correct
39 Correct 636 ms 21324 KB Output is correct
40 Correct 629 ms 21280 KB Output is correct
41 Correct 67 ms 28660 KB Output is correct
42 Correct 56 ms 28408 KB Output is correct
43 Correct 74 ms 28432 KB Output is correct
44 Correct 103 ms 28404 KB Output is correct
45 Correct 74 ms 28540 KB Output is correct
46 Correct 110 ms 28404 KB Output is correct
47 Correct 108 ms 28404 KB Output is correct
48 Correct 42 ms 28472 KB Output is correct
49 Correct 54 ms 28292 KB Output is correct
50 Correct 65 ms 28532 KB Output is correct
51 Correct 72 ms 28404 KB Output is correct
52 Correct 101 ms 28404 KB Output is correct
53 Correct 78 ms 28404 KB Output is correct
54 Correct 142 ms 28528 KB Output is correct
55 Correct 108 ms 28404 KB Output is correct
56 Correct 41 ms 28148 KB Output is correct
57 Correct 64 ms 28412 KB Output is correct
58 Correct 55 ms 28148 KB Output is correct
59 Correct 86 ms 28512 KB Output is correct
60 Correct 147 ms 28440 KB Output is correct
61 Correct 61 ms 28400 KB Output is correct
62 Correct 114 ms 28472 KB Output is correct
63 Correct 113 ms 28408 KB Output is correct
64 Correct 44 ms 28276 KB Output is correct
65 Correct 104 ms 28404 KB Output is correct
66 Correct 104 ms 28492 KB Output is correct
67 Correct 105 ms 28508 KB Output is correct
68 Correct 89 ms 28296 KB Output is correct
69 Correct 123 ms 28404 KB Output is correct
70 Correct 88 ms 28288 KB Output is correct
71 Correct 549 ms 52752 KB Output is correct
72 Correct 586 ms 52920 KB Output is correct
73 Correct 920 ms 51388 KB Output is correct
74 Correct 1442 ms 51880 KB Output is correct
75 Correct 624 ms 53668 KB Output is correct
76 Correct 1678 ms 52232 KB Output is correct
77 Correct 1695 ms 51996 KB Output is correct
78 Correct 341 ms 56052 KB Output is correct
79 Correct 555 ms 49672 KB Output is correct
80 Correct 562 ms 52784 KB Output is correct
81 Correct 882 ms 52720 KB Output is correct
82 Correct 1448 ms 51736 KB Output is correct
83 Correct 748 ms 50948 KB Output is correct
84 Execution timed out 2027 ms 51148 KB Time limit exceeded
85 Halted 0 ms 0 KB -