oj.uz

Submission #385586

# Submission time Handle Problem Language Result Execution time Memory
385586 2021-04-04T15:30:22 Z ogibogi2004 Robots (APIO13_robots) C++14
100 / 100
 461 ms 155628 KB 
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
#pragma GCC target ("fma,avx,avx2")
#define ends dfdsfdsf
const int INF=1e8;
pair<pair<int,int>,char> nxt[502][502][4];
vector<pair<pair<int,int>,char> >g[502][502][4];
pair<int,int>g1[502][502][4];
int deg[502][502];
char table[502][502];
int r,n,m;
vector<pair<pair<int,int>,char> >ends;
pair<pair<int,int>,char> actual_nxt[502][502][4];
bool not_valid(pair<int,int> p)
{
	int x=p.first,y=p.second;
	if(x<1||y<1||x>n||y>m)return 1;
	return table[x][y]=='x';
}
int dp[45][502][502];
pair<int,int> where[10];
int number[10][10];
void pre()
{
	int cnt=0;
	for(int i=1;i<=9;++i)
	{
		for(int j=i;j<=9;++j)
		{
			number[i][j]=++cnt;
		}
	}
}
vector<pair<short,short> >pq[1000000];
int main()
{
	pre();
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	cin>>r>>m>>n;
	for(int i=1;i<=n;++i)
	{
		for(int j=1;j<=m;++j)
		{
			cin>>table[i][j];
			if(isdigit(table[i][j]))
			{
				where[table[i][j]-'0']={i,j};
			}
		}
	}
	for(int i=1;i<=n;++i)
	{
		for(int j=1;j<=m;++j)
		{
			if(table[i][j]=='x')continue;
			if(table[i][j]=='A')
			{
				nxt[i][j][0]={{i,j-1},3};
				nxt[i][j][1]={{i-1,j},0};
				nxt[i][j][2]={{i,j+1},1};
				nxt[i][j][3]={{i+1,j},2};
			}
			else if(table[i][j]=='C')
			{
				nxt[i][j][0]={{i,j+1},1};
				nxt[i][j][1]={{i+1,j},2};
				nxt[i][j][2]={{i,j-1},3};
				nxt[i][j][3]={{i-1,j},0};
			}
			else
			{
				nxt[i][j][0]={{i-1,j},0};
				nxt[i][j][1]={{i,j+1},1};
				nxt[i][j][2]={{i+1,j},2};
				nxt[i][j][3]={{i,j-1},3};
			}
			for(int l=0;l<4;++l)
			{
				if(not_valid(nxt[i][j][l].first))
				{
					ends.push_back({{i,j},l});
				}
				g[nxt[i][j][l].first.first][nxt[i][j][l].first.second][nxt[i][j][l].second].push_back({{i,j},l});
			}
		}
	}
	queue<pair<pair<int,int>,char> >qq;
	for(auto xd:ends)
	{
		qq.push(xd);
		actual_nxt[xd.first.first][xd.first.second][xd.second]=xd;
	}
	while(!qq.empty())
	{
		auto u=qq.front();
		qq.pop();
		for(auto xd:g[u.first.first][u.first.second][u.second])
		{
			actual_nxt[xd.first.first][xd.first.second][xd.second]=actual_nxt[u.first.first][u.first.second][u.second];
			qq.push(xd);
		}
	}
	for(int i=1;i<=n;++i)
	{
		for(int j=1;j<=m;++j)
		{
			for(int l=0;l<4;++l)
			{
				int x,y,z;
				x=actual_nxt[i][j][l].first.first;
				y=actual_nxt[i][j][l].first.second;
				z=actual_nxt[i][j][l].second;
				if(x==i&&y==j&&z==l)continue;
				g1[i][j][deg[i][j]++]={x,y};
			}
		}
	}
	for(int r1=1;r1<=r;++r1)
	{
		for(int r2=1;r2<=r;++r2)
		{
			for(int i1=1;i1<=n;++i1)
			{
				for(int i2=1;i2<=m;++i2)
				{
					dp[number[r1][r2]][i1][i2]=INF;
				}
			}
		}
	}
	queue<pair<int,int> >q;
	for(int i=1;i<=r;++i)
	{
		int x,y;
		x=where[i].first;
		y=where[i].second;
		q.push({x,y});
		dp[number[i][i]][x][y]=0;
		while(!q.empty())
		{
			tie(x,y)=q.front();
			q.pop();
			for(int jj=0;jj<deg[x][y];jj++)
			{
				pair<int,int> xd=g1[x][y][jj];
				if(dp[number[i][i]][xd.first][xd.second]>dp[number[i][i]][x][y]+1)
				{
					dp[number[i][i]][xd.first][xd.second]=dp[number[i][i]][x][y]+1;
					q.push(xd);
				}
			}
		}
	}
	vector<int>dps;
	for(int len=2;len<=r;++len)
	{
		for(int r1=1;r1+len-1<=r;++r1)
		{
			int r2=r1+len-1;
			int cc=number[r1][r2];
			for(int mid=r1;mid<r2;++mid)
			{
				for(int i=1;i<=n;++i)
				{
					for(int j=1;j<=m;++j)
					{
						dp[cc][i][j]=min(dp[cc][i][j],dp[number[r1][mid]][i][j]+dp[number[mid+1][r2]][i][j]);
					}
				}
			}
			int mindp=INF;
			for(int i=1;i<=n;++i)
			{
				for(int j=1;j<=m;++j)
				{
					mindp=min(mindp,dp[cc][i][j]);
					if(dp[cc][i][j]<INF)
					{
						pq[dp[cc][i][j]].push_back({i,j});
						dps.push_back(dp[cc][i][j]);
					}
				}
			}
			if(mindp>=INF)continue;
			for(int j=0;j<pq[mindp].size();j++)q.push({pq[mindp][j].first,pq[mindp][j].second});
			pq[mindp].clear();
			while(!q.empty())
			{
				int x,y;
				tie(x,y)=q.front();
				q.pop();
				for(int jj=0;jj<deg[x][y];jj++)
				{
					pair<int,int> xd=g1[x][y][jj];
					if(dp[cc][x][y]+1<dp[cc][xd.first][xd.second])
					{
						dp[cc][xd.first][xd.second]=dp[cc][x][y]+1;
						q.push(xd);
					}
				}
				if(dp[cc][x][y]+1<INF&&pq[dp[cc][x][y]+1].size()!=0)
				{
					for(int ii=0;ii<pq[dp[cc][x][y]+1].size();ii++)
					{
						pair<int,int> xd=pq[dp[cc][x][y]+1][ii];
						if(dp[cc][xd.first][xd.second]!=dp[cc][x][y]+1)continue;
						q.push(xd);
					}
					pq[dp[cc][x][y]+1].clear();
				}
			}
			for(int j=0;j<dps.size();j++)pq[dps[j]].clear();
			dps.clear();
		}
	}
	/*for(int i1=1;i1<=r;i1++)
	{
		for(int i2=i1;i2<=r;i2++)
		{
			cout<<i1<<"-"<<i2<<endl;
			for(int i=1;i<=n;i++)
			{
				for(int j=1;j<=m;j++)
				{
					if(dp[i1][i2][i][j]<INF)cout<<dp[i1][i2][i][j];
					else cout<<"x";
				}
				cout<<endl;
			}
		}
	}*/
	int ans=INF;
	for(int i=1;i<=n;++i)
	{
		for(int j=1;j<=m;++j)
		{
			ans=min(ans,dp[number[1][r]][i][j]);
		}
	}
	if(ans==INF)cout<<"-1\n";
	else 
	{
		cout<<ans<<'\n';
	}
return 0;
}

Compilation message

robots.cpp: In function 'int main()':
robots.cpp:86:73: warning: array subscript has type 'char' [-Wchar-subscripts]
   86 |     g[nxt[i][j][l].first.first][nxt[i][j][l].first.second][nxt[i][j][l].second].push_back({{i,j},l});
      |                                                            ~~~~~~~~~~~~~^~~~~~
robots.cpp:94:50: warning: array subscript has type 'char' [-Wchar-subscripts]
   94 |   actual_nxt[xd.first.first][xd.first.second][xd.second]=xd;
      |                                               ~~~^~~~~~
robots.cpp:100:50: warning: array subscript has type 'char' [-Wchar-subscripts]
  100 |   for(auto xd:g[u.first.first][u.first.second][u.second])
      |                                                ~~^~~~~~
robots.cpp:102:51: warning: array subscript has type 'char' [-Wchar-subscripts]
  102 |    actual_nxt[xd.first.first][xd.first.second][xd.second]=actual_nxt[u.first.first][u.first.second][u.second];
      |                                                ~~~^~~~~~
robots.cpp:102:103: warning: array subscript has type 'char' [-Wchar-subscripts]
  102 |    actual_nxt[xd.first.first][xd.first.second][xd.second]=actual_nxt[u.first.first][u.first.second][u.second];
      |                                                                                                     ~~^~~~~~
robots.cpp:188:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<short int, short int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  188 |    for(int j=0;j<pq[mindp].size();j++)q.push({pq[mindp][j].first,pq[mindp][j].second});
      |                ~^~~~~~~~~~~~~~~~~
robots.cpp:206:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<short int, short int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  206 |      for(int ii=0;ii<pq[dp[cc][x][y]+1].size();ii++)
      |                   ~~^~~~~~~~~~~~~~~~~~~~~~~~~~
robots.cpp:215:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  215 |    for(int j=0;j<dps.size();j++)pq[dps[j]].clear();
      |                ~^~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 47596 KB Output is correct
2 Correct 34 ms 47596 KB Output is correct
3 Correct 33 ms 47596 KB Output is correct
4 Correct 34 ms 47724 KB Output is correct
5 Correct 34 ms 47724 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 47596 KB Output is correct
2 Correct 34 ms 47596 KB Output is correct
3 Correct 33 ms 47596 KB Output is correct
4 Correct 34 ms 47724 KB Output is correct
5 Correct 34 ms 47724 KB Output is correct
6 Correct 36 ms 47596 KB Output is correct
7 Correct 33 ms 47596 KB Output is correct
8 Correct 33 ms 47596 KB Output is correct
9 Correct 33 ms 47596 KB Output is correct
10 Correct 33 ms 47724 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 47596 KB Output is correct
2 Correct 34 ms 47596 KB Output is correct
3 Correct 33 ms 47596 KB Output is correct
4 Correct 34 ms 47724 KB Output is correct
5 Correct 34 ms 47724 KB Output is correct
6 Correct 36 ms 47596 KB Output is correct
7 Correct 33 ms 47596 KB Output is correct
8 Correct 33 ms 47596 KB Output is correct
9 Correct 33 ms 47596 KB Output is correct
10 Correct 33 ms 47724 KB Output is correct
11 Correct 123 ms 96340 KB Output is correct
12 Correct 67 ms 68584 KB Output is correct
13 Correct 92 ms 88224 KB Output is correct
14 Correct 182 ms 97312 KB Output is correct
15 Correct 105 ms 94752 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 47596 KB Output is correct
2 Correct 34 ms 47596 KB Output is correct
3 Correct 33 ms 47596 KB Output is correct
4 Correct 34 ms 47724 KB Output is correct
5 Correct 34 ms 47724 KB Output is correct
6 Correct 36 ms 47596 KB Output is correct
7 Correct 33 ms 47596 KB Output is correct
8 Correct 33 ms 47596 KB Output is correct
9 Correct 33 ms 47596 KB Output is correct
10 Correct 33 ms 47724 KB Output is correct
11 Correct 123 ms 96340 KB Output is correct
12 Correct 67 ms 68584 KB Output is correct
13 Correct 92 ms 88224 KB Output is correct
14 Correct 182 ms 97312 KB Output is correct
15 Correct 105 ms 94752 KB Output is correct
16 Correct 368 ms 155628 KB Output is correct
17 Correct 461 ms 149320 KB Output is correct
18 Correct 200 ms 140556 KB Output is correct
19 Correct 184 ms 146460 KB Output is correct
20 Correct 313 ms 145948 KB Output is correct