package com.data.struct;



public class RelabelToFront {
	private Node[][]graphic;
	private Node s;
	private Node t;
	public RelabelToFront(){
		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 relabelToFront(){
		initializePreflow();
		Node head=graphic[1][1];
		Node last=head;
		for(int i=2;i<graphic.length-1;i++){
			last.lnext=graphic[i][i];
			last=last.lnext;
		}
		for(int i=1;i<graphic.length-1;i++){
			Node lastN=graphic[i][i].N;
			for(int j=0;j<graphic.length;j++){
				if(i==j){
					continue;
				}
				if(lastN==null){
					if(graphic[i][j]!=null){
						Node node=graphic[j][j].clone();
						lastN=node;
						graphic[i][i].N=node;
					}
				}else{
					if(graphic[i][j]!=null){
						Node node=graphic[j][j].clone();
						lastN.next=node;
						lastN=lastN.next;
					}
					
				}
			}
			for(int j=0;j<graphic.length;j++){
				if(i==j){
					continue;
				}
				if(lastN==null){
					if(graphic[j][i]!=null){
						Node node=graphic[j][j].clone();
						lastN=node;
						graphic[i][i].N=node;
					}
				}else{
					if(graphic[j][i]!=null){
						Node node=graphic[j][j].clone();
						lastN.next=node;
						lastN=lastN.next;
					}
					
				}
			}
		}
		for(int i=1;i<graphic.length-1;i++){
			graphic[i][i].current=graphic[i][i].N;
		}
		Node u=head;
		Node prev=u;
		while(u!=null){
			int oldH=u.h;
			discharge(u);
			if(u.h>oldH){
				if(prev!=u){
					prev.lnext=u.lnext;
					u.lnext=head;
					head=u;
				}
			}
			prev=u;
			u=u.lnext;
		}
	}
	
	public void discharge(Node u){
		while(u.e>0){
			Node v=u.current;
			if(v==null){
				relabel(u);
				u.current=u.N;
			}else{
				Node vr=graphic[v.start][v.end];
				if(!graphic[u.start][v.start].reverse&&(graphic[u.start][v.start].c-graphic[u.start][v.start].f>0)&&u.h==vr.h+1){
					push(u,vr);
				}else if(graphic[u.start][v.start].reverse&&graphic[u.start][v.start].f>0&&u.h==vr.h+1){
					push(u,vr);
				}else{
					u.current=v.next;
				}
			}
		}
	}
	
	public void push(Node u,Node v){
		Node uv=graphic[u.start][v.start];
		Node vu=graphic[v.start][u.start];
		int delta=Integer.MAX_VALUE;
		if(!uv.reverse){
			delta=Math.min(delta, Math.min(u.e, uv.c-uv.f));
			uv.f=uv.f+delta;
			vu.f=uv.f;
		}else{
			delta=Math.min(delta, Math.min(u.e, uv.f));
			uv.f=uv.f-delta;
			vu.f=uv.f;
		}
		System.out.println("["+uv.start+","+uv.end+"]:"+delta);
		u.e=u.e-delta;
		v.e=v.e+delta;
		
	}
	public void 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].reverse){
					if(graphic[u.start][i].c-graphic[u.start][i].f>0){
						h=Math.min(h, graphic[i][i].h);
					}
				}else{
					if(graphic[i][u.start].f>0){
						h=Math.min(h, graphic[i][i].h);
					}
				}
			}
		}
		if(h==Integer.MAX_VALUE){
			return;
		}
		u.h=1+h;
		
	}
	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][s.start].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;
		private Node current;
		private Node next;
		private Node N;
		private Node lnext;
		public Node clone(){
			Node newNode=new Node();
			newNode.c=c;
			newNode.f=f;
			newNode.start=start;
			newNode.e=e;
			newNode.end=end;
			newNode.reverse=reverse;
			newNode.h=h;
			return newNode;
		}
	}
	public static void main(String[] args) {
		RelabelToFront r=new RelabelToFront();
		r.print();
		r.relabelToFront();
		r.printResult();

	}

}