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/*******************************************************************************
* Copyright (c) 2017 ejpark.
* All rights reserved. This program and the accompanying materials
* are made available under the terms of the GNU General Public License v3.0
* which accompanies this distribution, and is available at
* http://www.gnu.org/licenses/gpl-3.0.html
*
* Contributors:
* eungjun11@gmail.com - initial API and implementation
******************************************************************************/
package algorithm.li;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
/**
* @author ejpark
*
*/
public class A1003 {
public static void main(String[] args) throws Exception {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
String input = br.readLine();
int n = Integer.parseInt(input);
int[][] graph = new int[n][n];
for (int i = 0; i < n; i++) {
String line = br.readLine();
for (int j = 0; j < n; j++) {
graph[i][j] = line.charAt(j) - 48;
}
}
int m = Integer.parseInt(br.readLine());
Map<Integer, List<Integer>> map = new HashMap<>();
for(int i=0; i<n; i++) {
for(int j=0; j<n; j++) {
int position = graph[i][j];
if(position==1) {
List<Integer> nodeList = map.get(i);
if(nodeList == null) {
nodeList = new ArrayList<Integer>();
map.put(i, nodeList);
}
nodeList.add(j);
}
}
}
List<Node> list = new ArrayList<Node>();
for(int i=0; i<n; i++) {
Node node = new Node();
node.setDepth(0);
node.setType(i);
List<Integer> edgelist = map.get(i);
addChild(node, edgelist, 0, map, m);
list.add(node);
}
boolean isCycle = false;
for(Node root : list) {
System.out.println("RootNode:"+root);
int cycleType = getType(root, m, root.getType());
if(cycleType == 1) {
isCycle = true;
break;
}
}
if(isCycle) {
System.out.println(1);
}else {
System.out.println(0);
}
// O(n+(n*(n-1))
}
private static int getType(Node node, int depth, int root) {
System.out.println("node:"+node);
System.out.println("depth:"+ depth+", root:" + root);
if(node.getDepth() == depth && node.getType() == root) {
return 1;
}
List<Node> nodeList = node.getChildren();
for(Node child :nodeList) {
return getType(child, depth, root);
}
return 0;
}
private static void addChild(Node node, List<Integer> edgelist, int depth, Map<Integer, List<Integer>> map, int max) {
depth++;
for(int edge : edgelist) {
Node child = new Node();
child.setDepth(depth);
child.setType(edge);
node.addNode(child);
if(depth < max) {
addChild(child, map.get(edge), depth, map, max);
}
}
}
static class Node {
int type;
int depth;
List<Node> nodeList = new ArrayList<Node>();
public void setType(int type) {
this.type = type;
}
public void setDepth(int depth) {
this.depth = depth;
}
public void addNode(Node node) {
this.nodeList.add(node);
}
public void addAll(List<Node> nodelist) {
this.nodeList.addAll(nodelist);
}
public int getType() {
return this.type;
}
public int getDepth() {
return this.depth;
}
public List<Node> getChildren(){
return nodeList;
}
public String toString() {
return String.format("[type:%s, depth:%s, child:%s]", type, depth, nodeList);
}
}
}
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