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package g2601_2700.s2699_modify_graph_edge_weights;
// #Hard #Heap_Priority_Queue #Graph #Shortest_Path
// #2023_09_14_Time_88_ms_(85.25%)_Space_49.9_MB_(85.25%)
import java.util.ArrayList;
import java.util.Comparator;
import java.util.List;
import java.util.PriorityQueue;
@SuppressWarnings({"unchecked", "java:S135"})
public class Solution {
public int[][] modifiedGraphEdges(
int n, int[][] edges, int source, int destination, int target) {
List[] graph = new ArrayList[n];
for (int i = 0; i < n; i++) {
graph[i] = new ArrayList<>();
}
for (int i = 0; i < edges.length; i++) {
int[] e = edges[i];
graph[e[0]].add(new int[] {e[1], i});
graph[e[1]].add(new int[] {e[0], i});
}
PriorityQueue pq = new PriorityQueue<>(Comparator.comparingInt(v -> v[1]));
pq.add(new int[] {destination, 0});
Integer[] distances = new Integer[n];
processQueue(edges, source, pq, distances, graph);
if (distances[source] > target) {
return new int[][] {};
}
pq = new PriorityQueue<>(Comparator.comparingInt(v -> v[1]));
if (distances[source] != target) {
pq.add(new int[] {source, 0});
}
boolean[] visited = new boolean[n];
while (!pq.isEmpty()) {
int[] c = pq.poll();
if (visited[c[0]]) {
continue;
}
visited[c[0]] = true;
if (c[0] == destination) {
return new int[][] {};
}
for (int[] e : graph[c[0]]) {
if (visited[e[0]] || distances[e[0]] == null) {
continue;
}
int dif = target - c[1] - distances[e[0]];
if (Math.abs(edges[e[1]][2]) >= dif) {
continue;
}
if (edges[e[1]][2] == -1) {
edges[e[1]][2] = dif;
continue;
}
pq.add(new int[] {e[0], c[1] + edges[e[1]][2]});
}
}
for (int[] e : edges) {
if (e[2] == -1) {
e[2] = 1;
}
}
return edges;
}
private void processQueue(
int[][] edges,
int source,
PriorityQueue pq,
Integer[] distances,
List[] graph) {
while (!pq.isEmpty()) {
int[] c = pq.poll();
if (distances[c[0]] != null) {
continue;
}
distances[c[0]] = c[1];
if (c[0] == source) {
continue;
}
for (int[] e : graph[c[0]]) {
if (distances[e[0]] != null) {
continue;
}
pq.add(new int[] {e[0], c[1] + Math.abs(edges[e[1]][2])});
}
}
}
}
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