HDOJ 5402 Travelling Salesman Problem 模拟

行数或列数为奇数就能够所有走完.

行数和列数都是偶数,能够选择空出一个(x+y)为奇数的点.

假设要空出一个(x+y)为偶数的点,则必须空出其它(x+y)为奇数的点

Travelling Salesman Problem

Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 747    Accepted Submission(s): 272
Special Judge

Problem Description

Teacher Mai is in a maze with n rows and m columns. There is a non-negative number in each cell. Teacher Mai wants to walk from the top left corner (1,1) to the bottom right corner (n,m). He can choose one direction and walk to this adjacent cell. However, he can't go out of the maze, and he can't visit a cell more than once.

Teacher Mai wants to maximize the sum of numbers in his path. And you need to print this path.

 

Input

There are multiple test cases.

For each test case, the first line contains two numbers n,m(1≤n,m≤100,n∗m≥2).

In following n lines, each line contains m numbers. The j-th number in the i-th line means the number in the cell (i,j). Every number in the cell is not more than 104.

 

Output

For each test case, in the first line, you should print the maximum sum.

In the next line you should print a string consisting of "L","R","U" and "D", which represents the path you find. If you are in the cell (x,y), "L" means you walk to cell (x,y−1), "R" means you walk to cell (x,y+1), "U" means you walk to cell (x−1,y), "D" means you walk to cell (x+1,y).

 

Sample Input

3 3
2 3 3
3 3 3
3 3 2

 

Sample Output

25
RRDLLDRR

 

Author

xudyh

 

Source

2015 Multi-University Training Contest 9

 

/* ***********************************************
Author        :CKboss
Created Time  :2015年08月19日 星期三 13时43分44秒
File Name     :HDOJ5402.cpp
************************************************ */

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <set>
#include <map>

using namespace std;

int n,m;
int g[110][110];
char dir[110][110];

char loop_down[4]={'R','D','L','D'};
char loop_up[4]={'R','U','L','U'};

void R(int &x,int &y) { y+=1; }
void L(int &x,int &y) { y-=1; }
void U(int &x,int &y) { x-=1; }
void D(int &x,int &y) { x+=1; }

string road;

string UP_TO_DOWN(int x,int y)
{
	string midroad="";
	memset(dir,'.',sizeof(dir));
	dir[x][y]='$';
	int curx=1,cury=1;
	for(int i=1,id=0;i<2*n;i++,id++)
	{
		int nx=curx,ny=cury;
		if(loop_down[id%4]=='R') R(nx,ny);
		else if(loop_down[id%4]=='L') L(nx,ny);
		else if(loop_down[id%4]=='U') U(nx,ny);
		else if(loop_down[id%4]=='D') D(nx,ny);

		if(dir[nx][ny]=='.')
		{		
			dir[curx][cury]=loop_down[id%4];
			midroad+=dir[curx][cury];
			curx=nx; cury=ny;
		}
		else if(dir[nx][ny]=='$')
		{
			dir[curx][cury]='D';
			midroad+=dir[curx][cury];
			D(curx,cury);
			id=3;
		}
	}
	midroad[midroad.length()-1]='R';
	return midroad;
}

string DOWN_TO_UP(int x,int y)
{
	string midroad="";
	memset(dir,'.',sizeof(dir));
	dir[x][y]='$';
	int curx=n,cury=1;
	for(int i=1,id=0;i<2*n;i++,id++)
	{
		int nx=curx,ny=cury;
		if(loop_up[id%4]=='R') R(nx,ny);
		else if(loop_up[id%4]=='L') L(nx,ny);
		else if(loop_up[id%4]=='U') U(nx,ny);
		else if(loop_up[id%4]=='D') D(nx,ny);

		if(dir[nx][ny]=='.')
		{		
			dir[curx][cury]=loop_up[id%4];
			midroad+=dir[curx][cury];
			curx=nx; cury=ny;
		}
		else if(dir[nx][ny]=='$')
		{
			dir[curx][cury]='U';
			midroad+=dir[curx][cury];
			U(curx,cury);
			id=3;
		}
	}
	midroad[midroad.length()-1]='R';

	return midroad;
}

void SHOW(int x,int y)
{
	road="";
	memset(dir,'.',sizeof(dir));
	dir[x][y]='$';
	if(y==1)
	{
		/// S road
		int curx=1,cury=1,id=0;
		for(int i=0;i<2*n-1;i++,id++)
		{
			int nx=curx,ny=cury;
			if(loop_down[id%4]=='R') R(nx,ny);
			else if(loop_down[id%4]=='L') L(nx,ny);
			else if(loop_down[id%4]=='U') U(nx,ny);
			else if(loop_down[id%4]=='D') D(nx,ny);

			if(dir[nx][ny]=='.') 
			{
				dir[curx][cury]=loop_down[id%4];
				road+=dir[curx][cury];
				curx=nx; cury=ny;
			}
			else if(dir[nx][ny]=='$')
			{
				if(nx==n)
				{
					dir[curx][cury]='L';
					road+=dir[curx][cury];
					L(curx,cury);
				}
				else
				{
					dir[curx][cury]='D';
					road+=dir[curx][cury];
					D(curx,cury);
					id=1;
				}
			}
		}
		road[road.length()-1]='R';
		for(int i=3;i<=m;i++)
		{
			for(int j=1;j<n;j++)
			{
				if(i%2==0) road+='D';
				else road+='U';
			}
			road+='R';
		}
	}
	else
	{
		for(int i=1;i<y-1;i++)
		{
			for(int j=1;j<n;j++)
			{
				if(i%2==1) road+='D';
				else road+='U';
			}
			road+='R';
		}
		if(y%2==0)
		{
		/// from up to down
			road+=UP_TO_DOWN(x,2);
			for(int i=y+1,id=0;i<=m;i++,id++)
			{
				for(int j=1;j<n;j++)
				{
					if(id%2==0) road+='U';
					else road+='D';
				}
				road+='R';
			}
		}
		else if(y&1)
		{
			/// from down to up
			road+=DOWN_TO_UP(x,2);
			for(int i=y+1,id=0;i<=m;i++,id++)
			{
				for(int j=1;j<n;j++)
				{
					if(id%2==0) road+='D';
					else road+='U';
				}
				road+='R';
			}
		}
	}
}

int main()
{
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);

	while(scanf("%d%d",&n,&m)!=EOF)
	{
		int sum=0;
		for(int i=1;i<=n;i++)
		{
			for(int j=1;j<=m;j++)
			{
				scanf("%d",&g[i][j]);
				sum+=g[i][j];
			}
		}
		if(n&1)
		{
			printf("%d
",sum);
			for(int i=1;i<=n;i++)
			{
				for(int j=1;j<m;j++)
				{
					if(i&1) putchar('R');
					else putchar('L');
				}
				if(i!=n) putchar('D');
			}
			putchar(10);
		}
		else if(m&1)
		{
			printf("%d
",sum);
			for(int i=1;i<=m;i++)
			{
				for(int j=1;j<n;j++)
				{
					if(i&1) putchar('D');
					else putchar('U');
				}
				if(i!=m) putchar('R');
			}
			putchar(10);
		}
		else
		{
			int mi=999999999;
			int px,py;
			for(int i=1;i<=n;i++)
			{
				for(int j=1;j<=m;j++)
				{
					if((i+j)%2) 
					{
						if(mi>g[i][j])
						{
							mi=min(mi,g[i][j]);
							px=i; py=j;
						}
					}
				}
			}
			printf("%d
",sum-mi);
			SHOW(px,py);
			road[road.length()-1]=0;
			cout<<road<<endl;
		}
	}
    
    return 0;
}