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package DynamicProgramming;

import java.util.LinkedList;

import java.util.Queue;

import java.util.Vector;

public class FordFulkerson {

static final int INF = 987654321;

// edges

static int V;

static int[][] capacity, flow;

public static void main(String[] args) {

System.out.println("V : 6");

V = 6;

capacity = new int[V][V];

capacity[0][1] = 12;

capacity[0][3] = 13;

capacity[1][2] = 10;

capacity[2][3] = 13;

capacity[2][4] = 3;

capacity[2][5] = 15;

capacity[3][2] = 7;

capacity[3][4] = 15;

capacity[4][5] = 17;

System.out.println("Max capacity in networkFlow : " + networkFlow(0, 5));

}

private static int networkFlow(int source, int sink) {

flow = new int[V][V];

int totalFlow = 0;

while (true) {

Vector<Integer> parent = new Vector<>(V);

for (int i = 0; i < V; i++) parent.add(-1);

Queue<Integer> q = new LinkedList<>();

parent.set(source, source);

q.add(source);

while (!q.isEmpty() && parent.get(sink) == -1) {

int here = q.peek();

q.poll();

for (int there = 0; there < V; ++there)

if (capacity[here][there] - flow[here][there] > 0 && parent.get(there) == -1) {

q.add(there);

parent.set(there, here);

}

if (parent.get(sink) == -1) break;

int amount = INF;

String printer = "path : ";

StringBuilder sb = new StringBuilder();

for (int p = sink; p != source; p = parent.get(p)) {

amount = Math.min(capacity[parent.get(p)][p] - flow[parent.get(p)][p], amount);

sb.append(p + "-");

}

sb.append(source);

for (int p = sink; p != source; p = parent.get(p)) {

flow[parent.get(p)][p] += amount;

flow[p][parent.get(p)] -= amount;

}

totalFlow += amount;

printer += sb.reverse() + " / max flow : " + totalFlow;

System.out.println(printer);

}

return totalFlow;

}