Solving the shortest path with DP

Source: Internet
Author: User

Solution to the problem of applying assembly lines

Attach source code Java version

1  Packagesecond;2  Public classSP {3     Static intx=100000;//no road between two points, path length is set to infinity4     Static intmax=100000;5     intdata[][]=New int[10] [10];//the full value of the edge6     Static int[]dist=New int[10];//record the value of the shortest path7     Static intpath[]=New int[10];//Record Shortest Path8      Public Static voidFpath (intA[][])//find the shortest Path value9     {Ten          inti,j,k; OneDist[0]=0; A           for(i=1;i<10;i++) -          { -k=Max; the               for(j=0;j<i;j++) -              { -                  if(a[j][i]!=x) -                      if((Dist[j]+a[j][i]) <k) +k=dist[j]+A[j][i]; Dist[1]+a[1,4]=4+10=14 - }//dist[2]+a[2,4]=2+6=8 8<14 dist[4]=8 to the shortest path to node 4 +dist[i]=K; A          } at     } -     Static intFroute (intA[][])//find the shortest path -      { -          intJ,b,k=1,i=9; -path[0]=10; -           while(i>0) in          { -               for(j=i-1;j>=0;j--) to              { +                  if(a[j][i]!=x) -                  { theb=dist[i]-A[j][i]; *                     if(b==Dist[j]) $                      {Panax NotoginsengPath[k++]=j+1; -I=J; the                           Break; +                      } A                  } the       +              } -          } $              returnK; $      } -      -      Public Static voidMain (string[] args) the     { -         inti,m;Wuyi         int[] A ={ the{x,4,2,3, X,x,x,x,x,x},//a[j][i] represents the cost of point J to I -{x,x,x,x,10,9, x,x,x,x}, Wu{x,x,x,x,6,7,10, x,x,x}, -{x,x,x,x,x,3,8, x,x,x}, About{x,x,x,x,x,x,x,4,8, x}, ${x,x,x,x,x,x,x,9,6, x}, -{x,x,x,x,x,x,x,5,4, x}, -{x,x,x,x,x,x,x,x,x,8}, -{x,x,x,x,x,x,x,x,x,4}, A {x,x,x,x,x,x,x,x,x,x},}; + Fpath (A); theSystem.out.print (dist[9]); -System.out.println (""); $m=Froute (A); the          for(i=m-1;i>0;i--) theSystem.out.print (path[i]+ "-"); theSystem.out.print (path[0]); the          -     } in  the  the}

Problem

1.public static void Main (string[] args) The format of the main function is changed directly can not run;

2. Specify how many int data[][]=new int[10][10] per row per column for the definition array;

3. Static array definition mode: static int[]dist=new int[10];

4.nullpointerexception Array length is not initialized;

Reference: http://www.cnblogs.com/lpshou/archive/2012/04/17/2453370.html

Solving the shortest path with DP

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