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Network Delay Time

Problem statement

You are given a network of n nodes, labeled from 1 to n. You are also given times, a list of travel times as directed edges times[i] = (ui, vi, wi), where ui is the source node, vi is the target node, and wi is the time it takes for a signal to travel from source to target.

We will send a signal from a given node k. Return the time it takes for all the n nodes to receive the signal. If it is impossible for all the n nodes to receive the signal, return -1.

Example 1:

Input: times = [[2,1,1],[2,3,1],[3,4,1]], n = 4, k = 2Output: 2

Example 2:

Input: times = [[1,2,1]], n = 2, k = 1Output: 1

Example 3:

Input: times = [[1,2,1]], n = 2, k = 2Output: -1

Constraints:

  • 1 <= k <= n <= 100
  • 1 <= times.length <= 6000
  • times[i].length == 3
  • 1 <= ui, vi <= n
  • ui != vi
  • 0 <= wi <= 100
  • All the pairs (ui, vi) are unique. (i.e., no multiple edges.)

My solution

/**
* @param {number[][]} times
* @param {number} n
* @param {number} k
* @return {number}
*/
var networkDelayTime = function(times, n, k) {
const distance = Array.from({
length: n + 1
}, () => Number.MAX_SAFE_INTEGER)

distance[0] = 0;
distance[k] = 0;

const travel = Array.from({
length: n + 1
}, () => []);

times.forEach(([currentNode, targetNode, time]) => {
travel[currentNode].push([targetNode, time])
})

const queue = [k];
const queueCost = [0];

while (queue.length) {
// console.log(queue, queueCost)
const topNode = queue.shift();
const topCost = queueCost.shift();

// travel[topNode].forEach(([target, time]) => {
// // console.log(topCost + time, time, topCost)
// if (topCost + time < distance[target]) {
// distance[target] = topCost + time;
// queue.push(target);
// queueCost.push(distance[target])
// }
// })

travel[topNode].forEach(([target, time]) => {
if (distance[topNode] + time < distance[target]) {
distance[target] = distance[topNode] + time;
queue.push(target)
}
})
}

const max = Math.max(...distance)

if (max === Number.MAX_SAFE_INTEGER) {
return -1
}
return max
};