g2001_2100.s2050_parallel_courses_iii.Solution Maven / Gradle / Ivy
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Java Solution for LeetCode algorithm problems, continually updating
package g2001_2100.s2050_parallel_courses_iii;
// #Hard #Dynamic_Programming #Graph #Topological_Sort
// #2022_05_26_Time_33_ms_(86.04%)_Space_127.1_MB_(28.87%)
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.List;
import java.util.Queue;
public class Solution {
public int minimumTime(int n, int[][] relations, int[] time) {
int v = time.length;
List> adj = new ArrayList<>();
for (int i = 0; i < v; i++) {
adj.add(new ArrayList<>());
}
int[] indegree = new int[v];
int[] requiredTime = new int[v];
for (int[] relation : relations) {
List vertices = adj.get(relation[0] - 1);
vertices.add(relation[1] - 1);
indegree[relation[1] - 1]++;
}
Queue q = new ArrayDeque<>();
for (int i = 0; i < v; i++) {
if (indegree[i] == 0) {
q.add(i);
requiredTime[i] = time[i];
}
}
while (!q.isEmpty()) {
int vertex = q.poll();
List edges = adj.get(vertex);
for (Integer e : edges) {
indegree[e]--;
if (indegree[e] == 0) {
q.add(e);
}
int totalTime = time[e] + requiredTime[vertex];
if (requiredTime[e] < totalTime) {
requiredTime[e] = totalTime;
}
}
}
int maxMonth = 0;
for (int i = 0; i < n; i++) {
maxMonth = Math.max(maxMonth, requiredTime[i]);
}
return maxMonth;
}
}