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Java-based LeetCode algorithm problem solutions, regularly updated
package g0801_0900.s0882_reachable_nodes_in_subdivided_graph;
// #Hard #Heap_Priority_Queue #Graph #Shortest_Path
// #2022_03_28_Time_28_ms_(95.85%)_Space_66.3_MB_(87.56%)
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.PriorityQueue;
import java.util.Queue;
@SuppressWarnings("unchecked")
public class Solution {
public int reachableNodes(int[][] edges, int maxMoves, int n) {
// Build graph
List[] graph = new List[n];
for (int i = 0; i < n; ++i) {
graph[i] = new ArrayList<>();
}
for (int[] edge : edges) {
// how many nodes between u and v(inclusive)
// vvvvvvvvvvvvvvv
int u = edge[0];
int v = edge[1];
int w = edge[2] + 1;
graph[u].add(new int[] {v, w});
graph[v].add(new int[] {u, w});
}
// Do dijkstra
Queue queue = new PriorityQueue<>((a, b) -> Integer.compare(a[1], b[1]));
int[] dist = new int[n];
Arrays.fill(dist, Integer.MAX_VALUE >> 1);
dist[0] = 0;
queue.add(new int[] {0, dist[0]});
while (!queue.isEmpty()) {
int[] curr = queue.poll();
int u = curr[0];
int d = curr[1];
if (d != dist[u]) {
continue;
}
for (int[] next : graph[u]) {
int v = next[0];
int w = next[1];
if (dist[u] + w < dist[v]) {
dist[v] = dist[u] + w;
queue.add(new int[] {v, dist[v]});
}
}
}
// Count reachable nodes
int ans = 0;
for (int i = 0; i < n; i++) {
if (dist[i] <= maxMoves) {
ans++;
}
}
for (int[] edge : edges) {
int u = edge[0];
int v = edge[1];
int w = edge[2];
// Nodes can be extended from (u, v) in at most maxMoves steps
// if maxMoves - dist[u] < 0, then l = 0
int l = Math.max(0, maxMoves - dist[u]);
int r = Math.max(0, maxMoves - dist[v]);
// l + r shouldn't be greater than w
ans += Math.min(w, l + r);
}
return ans;
}
}