图的最大流-通用推送标签方法

package com.data.struct;public class GenericPushRelabel {private Node[][]graphic;private Node s;private Node t;public GenericPushRelabel(){graphic=new Node[6][6];Node node0=new Node();node0.start=0;node0.end=0;graphic[0][0]=node0;Node node1=new Node();node1.start=1;node1.end=1;graphic[1][1]=node1;Node node2=new Node();node2.start=2;node2.end=2;graphic[2][2]=node2;Node node3=new Node();node3.start=3;node3.end=3;graphic[3][3]=node3;Node node4=new Node();node4.start=4;node4.end=4;graphic[4][4]=node4;Node node5=new Node();node5.start=5;node5.end=5;graphic[5][5]=node5;Node node01=new Node();node01.c=16;node01.start=0;node01.end=1;graphic[0][1]=node01;Node node10=new Node();node10.start=1;node10.end=0;node10.reverse=true;graphic[1][0]=node10;Node node02=new Node();node02.c=13;node02.start=0;node02.end=2;graphic[0][2]=node02;Node node20=new Node();node20.start=2;node20.end=0;node20.reverse=true;graphic[2][0]=node20;Node node13=new Node();node13.c=12;node13.start=1;node13.end=3;graphic[1][3]=node13;Node node31=new Node();node31.start=3;node31.end=1;node31.reverse=true;graphic[3][1]=node31;Node node21=new Node();node21.c=4;node21.start=2;node21.end=1;graphic[2][1]=node21;Node node12=new Node();node12.start=1;node12.end=2;node12.reverse=true;graphic[1][2]=node12;Node node24=new Node();node24.start=2;node24.end=4;node24.c=14;graphic[2][4]=node24;Node node42=new Node();node42.start=4;node42.end=2;node42.reverse=true;graphic[4][2]=node42;Node node32=new Node();node32.c=9;node32.start=3;node32.end=2;graphic[3][2]=node32;Node node23=new Node();node23.start=2;node23.end=3;node23.reverse=true;graphic[2][3]=node23;Node node35=new Node();node35.c=20;node35.start=3;node35.end=5;graphic[3][5]=node35;Node node53=new Node();node53.start=5;node53.end=3;node53.reverse=true;graphic[5][3]=node53;Node node43=new Node();node43.c=7;node43.start=4;node43.end=3;graphic[4][3]=node43;Node node34=new Node();node34.start=3;node34.end=4;node34.reverse=true;graphic[3][4]=node34;Node node45=new Node();node45.c=4;node45.start=4;node45.end=5;graphic[4][5]=node45;Node node54=new Node();node54.start=5;node54.end=4;node54.reverse=true;graphic[5][4]=node54;s=graphic[0][0];t=graphic[5][5];}public void genericPushRelabel(){initializePreflow();int i=1;while(true){boolean result=isRelabel();if(!result){break;}}}public boolean isPush(){boolean result=false;for(int i=1;i<graphic.length;i++){for(int j=1;j<graphic.length;j++){if(i!=j){if(graphic[i][i].h==graphic[j][j].h+1&&graphic[i][i].e>0&&graphic[i][j]!=null&&(graphic[i][j].c-graphic[i][j].f)>0){if(push(graphic[i][i],graphic[j][j])){result=true;}}}}}return result;}public boolean push(Node u,Node v){Node uv=graphic[u.start][v.start];int delta=Math.min(u.e, uv.c-uv.f);if(!uv.reverse){uv.f=uv.f+delta;}else{uv.f=uv.f-delta;}System.out.println("["+uv.start+","+uv.end+"]:"+delta);u.e=u.e-delta;v.e=v.e+delta;if(delta!=0){return true;}else{return false;}}public boolean isRelabel(){boolean result=false;for(int i=1;i<graphic.length;i++){for(int j=1;j<graphic.length;j++){if(i!=j){if(graphic[i][i].e>0&&graphic[i][i].h<=graphic[j][j].h&&graphic[i][j]!=null){boolean b=relabel(graphic[i][i]);if(b){result=b;}}}}}return result;}public boolean relabel(Node u){int h=Integer.MAX_VALUE;for(int i=0;i<graphic.length;i++){if(u.start!=i&&graphic[u.start][i]!=null){if(graphic[u.start][i].c-graphic[u.start][i].f>0){h=Math.min(h, graphic[i][i].h);}}}if(h==Integer.MAX_VALUE){return true;}if(u.h==1+h){return false;}u.h=1+h;printH();while(isPush()){printF();printE();}return true;}public void initializePreflow(){s.h=graphic.length;for(int i=0;i<graphic.length;i++){if(i!=s.start&&graphic[s.start][i]!=null){graphic[s.start][i].f=graphic[s.start][i].c;graphic[i][i].e=graphic[s.start][i].c;s.e=s.e-graphic[s.start][i].c;}}}public void printE(){System.out.println("E:");for(int i=0;i<graphic.length;i++){for(int j=0;j<graphic.length;j++){if(graphic[i][j]!=null){System.out.print(graphic[i][j].e+" ");}else{System.out.print("  ");}}System.out.println();}}public void printF(){System.out.println("F:");for(int i=0;i<graphic.length;i++){for(int j=0;j<graphic.length;j++){if(graphic[i][j]!=null){System.out.print(graphic[i][j].f+" ");}else{System.out.print("  ");}}System.out.println();}}public void printH(){System.out.println("H:");for(int i=0;i<graphic.length;i++){for(int j=0;j<graphic.length;j++){if(graphic[i][j]!=null){System.out.print(graphic[i][j].h+" ");}else{System.out.print("  ");}}System.out.println();}}public void printResult(){int result=0;for(int i=0;i<graphic.length;i++){if(graphic[t.start][i]!=null){result+=graphic[i][t.start].f;}}System.out.println("max flow:"+result);}public void print(){for(int i=0;i<graphic.length;i++){for(int j=0;j<graphic.length;j++){if(graphic[i][j]!=null){System.out.print(graphic[i][j].c+" ");}else{System.out.print("  ");}}System.out.println();}}private class Node{private int c;private int f;private int start;private int end;private boolean reverse;private int e;private int h;}public static void main(String[] args) {GenericPushRelabel g=new GenericPushRelabel();g.print();g.genericPushRelabel();g.printResult();}}