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Submission #369471

# Submission time Handle Problem Language Result Execution time Memory
369471 2021-02-21T18:01:59 Z YJU Robots (APIO13_robots) C++14
30 / 100
 1500 ms 56748 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("unroll-loops,no-stack-protector,Ofast")
using namespace std;
typedef int ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll MOD=1e9+7;
const ll MOD2=998244353;
const ll N=5e2+5;
const ld pi=acos(-1);
const ll INF=(1LL<<29);
#define SQ(i) ((i)*(i))
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define setp setprecision
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()
 
struct node{
	ll Dis,x,y,ty,dir;
	node(ll _a,ll _b,ll _c,ll _d,ll _e):Dis(_a),x(_b),y(_c),ty(_d),dir(_e){};
	//state :at (x,y) ty(turn yet?0:1) dir(direction) 
	//  3
	//  |
	//4-0-2
	//  |
	//  1
	void out(){
		cout<<"Dis("<<Dis<<"),x("<<x<<"),y("<<y<<"),ty("<<ty<<"),dir("<<dir<<")\n";
	}
};
 
struct cmp{
	bool operator()(node A,node B){
		return A.Dis>B.Dis;
	}
};
 
priority_queue<node,vector<node>,cmp> pq;
 
 
ll dp[N][N][11][11],dis[N][N][2][5],nxtx[N][N][5],nxty[N][N][5];
//dp[x][y][l][r] represents minimum times of operation to make robot[l,r] stay at grid[x][y]
 
ll dx[5]={0,1,0,-1,0},dy[5]={0,0,1,0,-1};
 
 
ll n,R,C;
string grid[N];
 
bool invalid(ll x,ll y){
	return !(0<x&&x<=R&&0<y&&y<=C&&grid[x][y]!='x');
}
 
int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	//input
	cin>>n>>C>>R;
	REP1(i,R)cin>>grid[i],grid[i]="x"+grid[i];
	//input end
	//prepare
	REP1(i,R)REP1(j,C){
		nxtx[i][j][3]=(invalid(i+dx[3],j)||grid[i+dx[3]][j]=='A'||grid[i+dx[3]][j]=='C'?i+dx[3]:nxtx[i+dx[3]][j][3]);
		nxty[i][j][4]=(invalid(i,j+dy[4])||grid[i][j+dy[4]]=='A'||grid[i][j+dy[4]]=='C'?j+dy[4]:nxty[i][j+dy[4]][4]);
	}
	for(int i=R;i>=1;i--)for(int j=C;j>=1;j--){
		nxtx[i][j][1]=(invalid(i+dx[1],j)||grid[i+dx[1]][j]=='A'||grid[i+dx[1]][j]=='C'?i+dx[1]:nxtx[i+dx[1]][j][1]);
		nxty[i][j][2]=(invalid(i,j+dy[2])||grid[i][j+dy[2]]=='A'||grid[i][j+dy[2]]=='C'?j+dy[2]:nxty[i][j+dy[2]][2]);
		
		nxtx[i][j][2]=nxtx[i][j][4]=i;
		nxty[i][j][1]=nxty[i][j][3]=j;
	}
	
	//len = r-l+1 for robot[l,r]
	for(int len=1;len<=n;len++){
		for(int l=1,r=l+len-1;l+len-1<=n;l++,r++){
			//merging robots to robot[l,r]
			REP1(i,R)REP1(j,C){
				REP(ty,2)REP(dir,5)dis[i][j][ty][dir]=INF;
				if(len==1){
					dp[i][j][l][r]=(grid[i][j]-'0'==l?0:INF);
				}else{
					dp[i][j][l][r]=INF;
					for(int cut=l;cut+1<=r;cut++){
						dp[i][j][l][r]=min(dp[i][j][l][r],dp[i][j][l][cut]+dp[i][j][cut+1][r]);
					}
				}
				//
				dis[i][j][0][0]=dp[i][j][l][r];
				if(dis[i][j][0][0]<INF){
					pq.push(node(dis[i][j][0][0],i,j,0,0));
				}
				//
			}
			//moving robots ( O(N*N*log(N*N) ) )
			while(SZ(pq)){
				node nd=pq.top();pq.pop();
				if(nd.Dis!=dis[nd.x][nd.y][nd.ty][nd.dir])continue;
				//nd.out();
				if(nd.ty==0){
					//have turned
					if(nd.dir==0){
						//stand at (nd.x,nd.y)
						dp[nd.x][nd.y][l][r]=nd.Dis;
						REP1(dir,4){
							//push to dir (cost = 1)
							if(dis[nd.x][nd.y][1][dir]>nd.Dis+1){
								dis[nd.x][nd.y][1][dir]=nd.Dis+1;
								pq.push(node(nd.Dis+1,nd.x,nd.y,1,dir));
							}
						}
					}else{
						//moving on or stop (cost = 0)
						ll nx=nxtx[nd.x][nd.y][nd.dir],ny=nxty[nd.x][nd.y][nd.dir];
						if(invalid(nx,ny)){
							nx-=dx[nd.dir],ny-=dy[nd.dir];
							if(dis[nx][ny][0][0]>nd.Dis){
								dis[nx][ny][0][0]=nd.Dis;
								pq.push(node(nd.Dis,nx,ny,0,0));
							}
						}else{
							if(dis[nx][ny][1][nd.dir]>nd.Dis){
								dis[nx][ny][1][nd.dir]=nd.Dis;
								pq.push(node(nd.Dis,nx,ny,1,nd.dir));
							}
						}
					}
				}else if(nd.ty==1){
					if(nd.dir==0)continue;
					if(grid[nd.x][nd.y]=='A'){
						ll ndir=(nd.dir+1==5?1:nd.dir+1);
						if(dis[nd.x][nd.y][0][ndir]>nd.Dis){
							dis[nd.x][nd.y][0][ndir]=nd.Dis;
							pq.push(node(nd.Dis,nd.x,nd.y,0,ndir));
						}
					}else if(grid[nd.x][nd.y]=='C'){
						ll ndir=(nd.dir-1==0?4:nd.dir-1);
						if(dis[nd.x][nd.y][0][ndir]>nd.Dis){
							dis[nd.x][nd.y][0][ndir]=nd.Dis;
							pq.push(node(nd.Dis,nd.x,nd.y,0,ndir));
						}
					}else{
						if(dis[nd.x][nd.y][0][nd.dir]>nd.Dis){
							dis[nd.x][nd.y][0][nd.dir]=nd.Dis;
							pq.push(node(nd.Dis,nd.x,nd.y,0,nd.dir));
						}
					}
				}
			}
		}
	}
	ll ans=INF;
	REP1(i,R)REP1(j,C){
		ans=min(ans,dp[i][j][1][n]);
	}
	cout<<(ans==INF?-1:ans)<<"\n";
	return 0;
}
/*
4 10 5
1.........
AA...x4...
..A..x....
2....x....
..C.3.A...
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 620 KB Output is correct
5 Correct 1 ms 620 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 620 KB Output is correct
5 Correct 1 ms 620 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 620 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 620 KB Output is correct
5 Correct 1 ms 620 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 620 KB Output is correct
11 Correct 902 ms 56748 KB Output is correct
12 Correct 45 ms 53996 KB Output is correct
13 Correct 113 ms 55148 KB Output is correct
14 Execution timed out 1595 ms 55396 KB Time limit exceeded
15 Halted 0 ms 0 KB -

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 1 ms 620 KB Output is correct
5 Correct 1 ms 620 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 620 KB Output is correct
11 Correct 902 ms 56748 KB Output is correct
12 Correct 45 ms 53996 KB Output is correct
13 Correct 113 ms 55148 KB Output is correct
14 Execution timed out 1595 ms 55396 KB Time limit exceeded
15 Halted 0 ms 0 KB -