답안 #43970 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
43970	2018-03-29T01:24:40 Z	model_code	Security Gate (JOI18_security_gate)	C++17	100 / 100	1794 ms	817784 KB

securitygate

#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i=int(a);i<int(b);i++)
#define REP(i,b) FOR(i,0,b)
#define ZERO(x) memset(x,0,sizeof(x))
using ll=long long;

const int mod=1000000007;
void add(int&a,int b){
	a+=b;
	if(a>=mod)a-=mod;
}
void sub(int&a,int b){
	a-=b;
	if(a<0)a+=mod;
}
void mult(int&a,int b){
	a=ll(a)*b%mod;
}

const int Nmax=310;
int n,org[Nmax];

namespace ValidWithoutFlip{
	int dp[Nmax][Nmax];
	int Calc(){
		ZERO(dp);
		dp[0][0]=1;
		REP(i,n){
			if(org[i]>=0)
				REP(j,n)add(dp[i+1][j+1],dp[i][j]);
			if(org[i]<=0)
				FOR(j,1,n+1)add(dp[i+1][j-1],dp[i][j]);
		}
		int ans=dp[n][0];
		return ans;
	}
}

namespace InvalidOneSide{
	int gx[Nmax/2][Nmax][2][Nmax];
	int gz[Nmax][Nmax][2][Nmax];
	int wf[Nmax][Nmax];
	int CalcGivenAX1(int a,int x){
		int res=0;
		for(int len=0;len+1<=n;len+=2)if(org[len]<=0){
			int p=gx[x][len][1][0];
			int q=wf[len+1][2*a-1];
			mult(p,q);
			add(res,p);
		}
		return res;
	}
	int CalcGivenAX2(int a,int x){
		int res=0;
		for(int len=0;len+1<=n;len+=2)if(org[len]<=0){
			int p=gx[x][len][1][0];
			int q=gz[a+x][len+1][1][2*a-1];
			mult(p,q);
			add(res,p);
		}
		return res;
	}
	int CalcGivenAX(int a,int x){
		if(a<=x){
			return CalcGivenAX1(a,x);
		}else{
			return CalcGivenAX2(a,x);
		}
	}
	void PreCalc(){
		ZERO(gx);
		REP(x,n/2){
			gx[x][0][x==0][0]=1;
			REP(i,n){
				if(org[i]>=0){
					REP(j,x)
						add(gx[x][i+1][j+1==x][j+1],gx[x][i][0][j]);
					REP(j,x)
						add(gx[x][i+1][1][j+1],gx[x][i][1][j]);
				}
				if(org[i]<=0){
					FOR(j,1,x+1)
						add(gx[x][i+1][0][j-1],gx[x][i][0][j]);
					FOR(j,1,x+1)
						add(gx[x][i+1][1][j-1],gx[x][i][1][j]);
				}
			}
		}
		ZERO(gz);
		REP(z,n){
			gz[z][n][z==0][0]=1;
			for(int i=n-1;i>=0;i--){
				if(org[i]<=0){
					REP(j,n)
						add(gz[z][i][0][j+1],gz[z][i+1][0][j]);
					if(z>0)
						add(gz[z][i][1][z],gz[z][i+1][0][z-1]);
					FOR(j,z,min(z*2,n))
						add(gz[z][i][1][j+1],gz[z][i+1][1][j]);
				}
				if(org[i]>=0){
					FOR(j,1,n)
						add(gz[z][i][0][j-1],gz[z][i+1][0][j]);
					add(gz[z][i][1][z],gz[z][i+1][0][z+1]);
					FOR(j,z+2,min(z*2+1,n))
						add(gz[z][i][1][j-1],gz[z][i+1][1][j]);
				}
			}
		}
		ZERO(wf);
		wf[n][0]=1;
		for(int i=n-1;i>=0;i--){
			if(org[i]<=0){
				REP(j,n)
					add(wf[i][j+1],wf[i+1][j]);
			}
			if(org[i]>=0){
				FOR(j,1,n)
					add(wf[i][j-1],wf[i+1][j]);
			}
		}
	}
	int Calc(){
		PreCalc();
		int res=0;
		FOR(a,1,n/2+1)REP(x,n/2-a+1)add(res,CalcGivenAX(a,x));
		return res;
	}
}

namespace InvalidBothSide{
	int gx[Nmax/2][Nmax][2][Nmax];
	int gz[Nmax/2][Nmax][3][Nmax*2];
	int CalcGivenAX(int a,int x){
		int res=0;
		for(int len=0;len+1<=n;len+=2)if(org[len]<=0){
			int p=gx[x][len][1][0];
			int q=gz[a+x][len+1][2][a*2-1+n];
			mult(p,q);
			add(res,p);
		}
		return res;
	}
	void PreCalc(bool inc){
		ZERO(gx);
		REP(x,n/2){
			gx[x][0][x==0][0]=1;
			REP(i,n){
				if(org[i]>=0){
					REP(j,x)
						add(gx[x][i+1][j+1==x][j+1],gx[x][i][0][j]);
					REP(j,x)
						add(gx[x][i+1][1][j+1],gx[x][i][1][j]);
				}
				if(org[i]<=0){
					FOR(j,1,x)
						add(gx[x][i+1][0][j-1],gx[x][i][0][j]);
					FOR(j,1,x+1)
						add(gx[x][i+1][1][j-1],gx[x][i][1][j]);
				}
			}
		}
		ZERO(gz);
		REP(z,n/2){
			gz[z][n][(z+inc)==0][0+n]=1;
			for(int i=n-1;i>=0;i--){
				if(org[i]<=0){
					REP(j,n)
						add(gz[z][i][j+1==z+inc][j+1+n],gz[z][i+1][0][j+n]);
					REP(j,n)
						add(gz[z][i][1][j+1+n],gz[z][i+1][1][j+n]);
					FOR(j,-n,min(z*2,n))
						add(gz[z][i][2][j+1+n],gz[z][i+1][2][j+n]);
				}
				if(org[i]>=0){
					FOR(j,1,n)
						add(gz[z][i][0][j-1+n],gz[z][i+1][0][j+n]);
					REP(j,n)
						add(gz[z][i][(j-1)==-1?2:1][j-1+n],gz[z][i+1][1][j+n]);
					FOR(j,-n+1,min(z*2+1,n))
						add(gz[z][i][2][j-1+n],gz[z][i+1][2][j+n]);
				}
			}
		}
	}
	int Calc(){
		int res=0;
		REP(_,2){
			PreCalc(_);
			FOR(a,-n/2+1,n/2)FOR(x,max(0,-a),n/2-abs(a)+1)add(res,CalcGivenAX(a,x));
			reverse(org,org+n);
			REP(i,n)org[i]*=-1;
		}
		return res;
	}
}

int Solve(){
	int ans=0;
	add(ans,ValidWithoutFlip::Calc());
	REP(_,2){
		add(ans,InvalidOneSide::Calc());
		reverse(org,org+n);
		REP(i,n)org[i]*=-1;
	}
	add(ans,InvalidBothSide::Calc());
	return ans;
}

int main(){
	cin>>n;
	string str;
	cin>>str;
	if(n%2==1){
		cout<<0<<endl;
		return 0;
	}
	REP(i,n){
		if(str[i]=='(')org[i]=1;
		if(str[i]==')')org[i]=-1;
	}
	cout<<Solve()<<endl;
}

Subtask #1
4.0 / 4.0

#	결과	실행 시간	메모리	Grader output
1	Correct	714 ms	817324 KB	Output is correct
2	Correct	739 ms	817472 KB	Output is correct
3	Correct	2 ms	817472 KB	Output is correct
4	Correct	730 ms	817472 KB	Output is correct
5	Correct	711 ms	817504 KB	Output is correct
6	Correct	713 ms	817512 KB	Output is correct
7	Correct	711 ms	817728 KB	Output is correct
8	Correct	734 ms	817728 KB	Output is correct
9	Correct	737 ms	817728 KB	Output is correct
10	Correct	740 ms	817728 KB	Output is correct
11	Correct	714 ms	817728 KB	Output is correct
12	Correct	733 ms	817728 KB	Output is correct
13	Correct	769 ms	817728 KB	Output is correct
14	Correct	791 ms	817728 KB	Output is correct
15	Correct	859 ms	817728 KB	Output is correct
16	Correct	817 ms	817728 KB	Output is correct
17	Correct	741 ms	817728 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	714 ms	817324 KB	Output is correct
2	Correct	739 ms	817472 KB	Output is correct
3	Correct	2 ms	817472 KB	Output is correct
4	Correct	730 ms	817472 KB	Output is correct
5	Correct	711 ms	817504 KB	Output is correct
6	Correct	713 ms	817512 KB	Output is correct
7	Correct	711 ms	817728 KB	Output is correct
8	Correct	734 ms	817728 KB	Output is correct
9	Correct	737 ms	817728 KB	Output is correct
10	Correct	740 ms	817728 KB	Output is correct
11	Correct	714 ms	817728 KB	Output is correct
12	Correct	733 ms	817728 KB	Output is correct
13	Correct	769 ms	817728 KB	Output is correct
14	Correct	791 ms	817728 KB	Output is correct
15	Correct	859 ms	817728 KB	Output is correct
16	Correct	817 ms	817728 KB	Output is correct
17	Correct	741 ms	817728 KB	Output is correct
18	Correct	776 ms	817728 KB	Output is correct
19	Correct	760 ms	817728 KB	Output is correct
20	Correct	784 ms	817728 KB	Output is correct
21	Correct	782 ms	817728 KB	Output is correct
22	Correct	806 ms	817728 KB	Output is correct
23	Correct	821 ms	817728 KB	Output is correct
24	Correct	826 ms	817776 KB	Output is correct
25	Correct	875 ms	817776 KB	Output is correct
26	Correct	851 ms	817776 KB	Output is correct
27	Correct	814 ms	817776 KB	Output is correct
28	Correct	810 ms	817776 KB	Output is correct
29	Correct	849 ms	817776 KB	Output is correct
30	Correct	827 ms	817776 KB	Output is correct
31	Correct	829 ms	817776 KB	Output is correct

Subtask #3
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	714 ms	817324 KB	Output is correct
2	Correct	739 ms	817472 KB	Output is correct
3	Correct	2 ms	817472 KB	Output is correct
4	Correct	730 ms	817472 KB	Output is correct
5	Correct	711 ms	817504 KB	Output is correct
6	Correct	713 ms	817512 KB	Output is correct
7	Correct	711 ms	817728 KB	Output is correct
8	Correct	734 ms	817728 KB	Output is correct
9	Correct	737 ms	817728 KB	Output is correct
10	Correct	740 ms	817728 KB	Output is correct
11	Correct	714 ms	817728 KB	Output is correct
12	Correct	733 ms	817728 KB	Output is correct
13	Correct	769 ms	817728 KB	Output is correct
14	Correct	791 ms	817728 KB	Output is correct
15	Correct	859 ms	817728 KB	Output is correct
16	Correct	817 ms	817728 KB	Output is correct
17	Correct	741 ms	817728 KB	Output is correct
18	Correct	776 ms	817728 KB	Output is correct
19	Correct	760 ms	817728 KB	Output is correct
20	Correct	784 ms	817728 KB	Output is correct
21	Correct	782 ms	817728 KB	Output is correct
22	Correct	806 ms	817728 KB	Output is correct
23	Correct	821 ms	817728 KB	Output is correct
24	Correct	826 ms	817776 KB	Output is correct
25	Correct	875 ms	817776 KB	Output is correct
26	Correct	851 ms	817776 KB	Output is correct
27	Correct	814 ms	817776 KB	Output is correct
28	Correct	810 ms	817776 KB	Output is correct
29	Correct	849 ms	817776 KB	Output is correct
30	Correct	827 ms	817776 KB	Output is correct
31	Correct	829 ms	817776 KB	Output is correct
32	Correct	793 ms	817776 KB	Output is correct
33	Correct	784 ms	817776 KB	Output is correct
34	Correct	868 ms	817776 KB	Output is correct
35	Correct	801 ms	817776 KB	Output is correct
36	Correct	772 ms	817776 KB	Output is correct
37	Correct	746 ms	817776 KB	Output is correct
38	Correct	803 ms	817776 KB	Output is correct
39	Correct	795 ms	817776 KB	Output is correct
40	Correct	862 ms	817776 KB	Output is correct
41	Correct	817 ms	817776 KB	Output is correct
42	Correct	822 ms	817776 KB	Output is correct
43	Correct	808 ms	817776 KB	Output is correct
44	Correct	843 ms	817776 KB	Output is correct
45	Correct	796 ms	817776 KB	Output is correct

Subtask #4
43.0 / 43.0

#	결과	실행 시간	메모리	Grader output
1	Correct	714 ms	817324 KB	Output is correct
2	Correct	739 ms	817472 KB	Output is correct
3	Correct	2 ms	817472 KB	Output is correct
4	Correct	730 ms	817472 KB	Output is correct
5	Correct	711 ms	817504 KB	Output is correct
6	Correct	713 ms	817512 KB	Output is correct
7	Correct	711 ms	817728 KB	Output is correct
8	Correct	734 ms	817728 KB	Output is correct
9	Correct	737 ms	817728 KB	Output is correct
10	Correct	740 ms	817728 KB	Output is correct
11	Correct	714 ms	817728 KB	Output is correct
12	Correct	733 ms	817728 KB	Output is correct
13	Correct	769 ms	817728 KB	Output is correct
14	Correct	791 ms	817728 KB	Output is correct
15	Correct	859 ms	817728 KB	Output is correct
16	Correct	817 ms	817728 KB	Output is correct
17	Correct	741 ms	817728 KB	Output is correct
18	Correct	776 ms	817728 KB	Output is correct
19	Correct	760 ms	817728 KB	Output is correct
20	Correct	784 ms	817728 KB	Output is correct
21	Correct	782 ms	817728 KB	Output is correct
22	Correct	806 ms	817728 KB	Output is correct
23	Correct	821 ms	817728 KB	Output is correct
24	Correct	826 ms	817776 KB	Output is correct
25	Correct	875 ms	817776 KB	Output is correct
26	Correct	851 ms	817776 KB	Output is correct
27	Correct	814 ms	817776 KB	Output is correct
28	Correct	810 ms	817776 KB	Output is correct
29	Correct	849 ms	817776 KB	Output is correct
30	Correct	827 ms	817776 KB	Output is correct
31	Correct	829 ms	817776 KB	Output is correct
32	Correct	793 ms	817776 KB	Output is correct
33	Correct	784 ms	817776 KB	Output is correct
34	Correct	868 ms	817776 KB	Output is correct
35	Correct	801 ms	817776 KB	Output is correct
36	Correct	772 ms	817776 KB	Output is correct
37	Correct	746 ms	817776 KB	Output is correct
38	Correct	803 ms	817776 KB	Output is correct
39	Correct	795 ms	817776 KB	Output is correct
40	Correct	862 ms	817776 KB	Output is correct
41	Correct	817 ms	817776 KB	Output is correct
42	Correct	822 ms	817776 KB	Output is correct
43	Correct	808 ms	817776 KB	Output is correct
44	Correct	843 ms	817776 KB	Output is correct
45	Correct	796 ms	817776 KB	Output is correct
46	Correct	722 ms	817776 KB	Output is correct
47	Correct	810 ms	817776 KB	Output is correct
48	Correct	2 ms	817776 KB	Output is correct
49	Correct	824 ms	817776 KB	Output is correct
50	Correct	792 ms	817776 KB	Output is correct
51	Correct	805 ms	817776 KB	Output is correct
52	Correct	825 ms	817776 KB	Output is correct
53	Correct	845 ms	817776 KB	Output is correct
54	Correct	833 ms	817776 KB	Output is correct
55	Correct	790 ms	817776 KB	Output is correct
56	Correct	781 ms	817776 KB	Output is correct
57	Correct	803 ms	817776 KB	Output is correct
58	Correct	812 ms	817776 KB	Output is correct
59	Correct	833 ms	817784 KB	Output is correct
60	Correct	862 ms	817784 KB	Output is correct
61	Correct	798 ms	817784 KB	Output is correct

Subtask #5
27.0 / 27.0

#	결과	실행 시간	메모리	Grader output
1	Correct	714 ms	817324 KB	Output is correct
2	Correct	739 ms	817472 KB	Output is correct
3	Correct	2 ms	817472 KB	Output is correct
4	Correct	730 ms	817472 KB	Output is correct
5	Correct	711 ms	817504 KB	Output is correct
6	Correct	713 ms	817512 KB	Output is correct
7	Correct	711 ms	817728 KB	Output is correct
8	Correct	734 ms	817728 KB	Output is correct
9	Correct	737 ms	817728 KB	Output is correct
10	Correct	740 ms	817728 KB	Output is correct
11	Correct	714 ms	817728 KB	Output is correct
12	Correct	733 ms	817728 KB	Output is correct
13	Correct	769 ms	817728 KB	Output is correct
14	Correct	791 ms	817728 KB	Output is correct
15	Correct	859 ms	817728 KB	Output is correct
16	Correct	817 ms	817728 KB	Output is correct
17	Correct	741 ms	817728 KB	Output is correct
18	Correct	776 ms	817728 KB	Output is correct
19	Correct	760 ms	817728 KB	Output is correct
20	Correct	784 ms	817728 KB	Output is correct
21	Correct	782 ms	817728 KB	Output is correct
22	Correct	806 ms	817728 KB	Output is correct
23	Correct	821 ms	817728 KB	Output is correct
24	Correct	826 ms	817776 KB	Output is correct
25	Correct	875 ms	817776 KB	Output is correct
26	Correct	851 ms	817776 KB	Output is correct
27	Correct	814 ms	817776 KB	Output is correct
28	Correct	810 ms	817776 KB	Output is correct
29	Correct	849 ms	817776 KB	Output is correct
30	Correct	827 ms	817776 KB	Output is correct
31	Correct	829 ms	817776 KB	Output is correct
32	Correct	793 ms	817776 KB	Output is correct
33	Correct	784 ms	817776 KB	Output is correct
34	Correct	868 ms	817776 KB	Output is correct
35	Correct	801 ms	817776 KB	Output is correct
36	Correct	772 ms	817776 KB	Output is correct
37	Correct	746 ms	817776 KB	Output is correct
38	Correct	803 ms	817776 KB	Output is correct
39	Correct	795 ms	817776 KB	Output is correct
40	Correct	862 ms	817776 KB	Output is correct
41	Correct	817 ms	817776 KB	Output is correct
42	Correct	822 ms	817776 KB	Output is correct
43	Correct	808 ms	817776 KB	Output is correct
44	Correct	843 ms	817776 KB	Output is correct
45	Correct	796 ms	817776 KB	Output is correct
46	Correct	722 ms	817776 KB	Output is correct
47	Correct	810 ms	817776 KB	Output is correct
48	Correct	2 ms	817776 KB	Output is correct
49	Correct	824 ms	817776 KB	Output is correct
50	Correct	792 ms	817776 KB	Output is correct
51	Correct	805 ms	817776 KB	Output is correct
52	Correct	825 ms	817776 KB	Output is correct
53	Correct	845 ms	817776 KB	Output is correct
54	Correct	833 ms	817776 KB	Output is correct
55	Correct	790 ms	817776 KB	Output is correct
56	Correct	781 ms	817776 KB	Output is correct
57	Correct	803 ms	817776 KB	Output is correct
58	Correct	812 ms	817776 KB	Output is correct
59	Correct	833 ms	817784 KB	Output is correct
60	Correct	862 ms	817784 KB	Output is correct
61	Correct	798 ms	817784 KB	Output is correct
62	Correct	1230 ms	817784 KB	Output is correct
63	Correct	1180 ms	817784 KB	Output is correct
64	Correct	971 ms	817784 KB	Output is correct
65	Correct	906 ms	817784 KB	Output is correct
66	Correct	1737 ms	817784 KB	Output is correct
67	Correct	1547 ms	817784 KB	Output is correct
68	Correct	1794 ms	817784 KB	Output is correct
69	Correct	946 ms	817784 KB	Output is correct
70	Correct	1022 ms	817784 KB	Output is correct
71	Correct	864 ms	817784 KB	Output is correct
72	Correct	908 ms	817784 KB	Output is correct
73	Correct	1744 ms	817784 KB	Output is correct
74	Correct	1445 ms	817784 KB	Output is correct

답안 #43970

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 8.0 / 8.0

Subtask #3 18.0 / 18.0

Subtask #4 43.0 / 43.0

Subtask #5 27.0 / 27.0

Subtask #1
4.0 / 4.0

Subtask #2
8.0 / 8.0

Subtask #3
18.0 / 18.0

Subtask #4
43.0 / 43.0

Subtask #5
27.0 / 27.0