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_1136.java
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package com.fishercoder.solutions.secondthousand;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Queue;
import java.util.Set;
public class _1136 {
public static class Solution1 {
public int minimumSemesters(int n, int[][] relations) {
Map<Integer, Set<Integer>> indegree = new HashMap<>();
for (int[] rel : relations) {
if (!indegree.containsKey(rel[1])) {
indegree.put(rel[1], new HashSet<>());
}
Set<Integer> prereqs = indegree.get(rel[1]);
prereqs.add(rel[0]);
}
Queue<Integer> queue = new LinkedList<>();
Set<Integer> taken = new HashSet<>();
for (int i = 1; i <= n; i++) {
if (!indegree.containsKey(i)) {
queue.offer(i);
taken.add(i);
}
}
int minSemesters = 0;
while (!queue.isEmpty()) {
int size = queue.size();
minSemesters++;
for (int i = 0; i < size; i++) {
Integer curr = queue.poll();
for (int key : indegree.keySet()) {
Set<Integer> prereqs = indegree.get(key);
if (prereqs.contains(curr)) {
prereqs.remove(curr);
if (prereqs.size() == 0) {
queue.offer(key);
taken.add(key);
}
}
}
}
}
return taken.size() != n ? -1 : minSemesters;
}
}
public static class Solution2 {
/*
* A straightforward one to practice topological sort (template).
* Use an indegree/outdegree array and an array of list type.
*/
public int minimumSemesters(int n, int[][] relations) {
List<Integer>[] adjList = new ArrayList[n + 1];
for (int i = 1; i <= n; i++) {
adjList[i] = new ArrayList<>();
}
int[] indegree = new int[n + 1];
for (int[] rel : relations) {
indegree[rel[1]]++;
adjList[rel[0]].add(rel[1]);
}
Queue<Integer> q = new LinkedList<>();
for (int i = 1; i <= n; i++) {
if (indegree[i] == 0) {
q.offer(i);
}
}
int semesters = 0;
while (!q.isEmpty()) {
int size = q.size();
for (int i = 0; i < size; i++) {
Integer curr = q.poll();
for (int v : adjList[curr]) {
indegree[v]--;
if (indegree[v] == 0) {
q.offer(v);
}
}
}
semesters++;
}
for (int i = 1; i <= n; i++) {
if (indegree[i] != 0) {
return -1;
}
}
return semesters;
}
}
}