LeetCode in Kotlin

815. Bus Routes

Hard

You are given an array routes representing bus routes where routes[i] is a bus route that the ith bus repeats forever.

• For example, if routes[0] = [1, 5, 7], this means that the 0th bus travels in the sequence 1 -> 5 -> 7 -> 1 -> 5 -> 7 -> 1 -> ... forever.

You will start at the bus stop source (You are not on any bus initially), and you want to go to the bus stop target. You can travel between bus stops by buses only.

Return the least number of buses you must take to travel from source to target. Return -1 if it is not possible.

Example 1:

Input: routes = [[1,2,7],[3,6,7]], source = 1, target = 6

Output: 2

Explanation: The best strategy is take the first bus to the bus stop 7, then take the second bus to the bus stop 6.

Example 2:

Input: routes = [[7,12],[4,5,15],[6],[15,19],[9,12,13]], source = 15, target = 12

Output: -1

Constraints:

• 1 <= routes.length <= 500.
• 1 <= routes[i].length <= 105
• All the values of routes[i] are unique.
• sum(routes[i].length) <= 105
• 0 <= routes[i][j] < 106
• 0 <= source, target < 106

Solution

import java.util.LinkedList
import java.util.Queue

class Solution {
    fun numBusesToDestination(routes: Array<IntArray>, source: Int, target: Int): Int {
        if (source == target) {
            return 0
        }
        val targetRoutes: MutableSet<Int> = HashSet()
        val queue: Queue<Int> = LinkedList()
        val taken = BooleanArray(routes.size)
        val graph = buildGraph(routes, source, target, queue, targetRoutes, taken)
        if (targetRoutes.isEmpty()) {
            return -1
        }
        var bus = 1
        while (queue.isNotEmpty()) {
            val size = queue.size
            for (i in 0 until size) {
                val route = queue.poll()
                if (targetRoutes.contains(route)) {
                    return bus
                }
                for (nextRoute in graph[route]!!) {
                    if (!taken[nextRoute]) {
                        queue.offer(nextRoute)
                        taken[nextRoute] = true
                    }
                }
            }
            bus++
        }
        return -1
    }

    private fun buildGraph(
        routes: Array<IntArray>,
        source: Int,
        target: Int,
        queue: Queue<Int>,
        targetRoutes: MutableSet<Int>,
        taken: BooleanArray
    ): Array<ArrayList<Int>?> {
        val len = routes.size
        val graph: Array<ArrayList<Int>?> = arrayOfNulls(len)
        for (i in 0 until len) {
            routes[i].sort()
            graph[i] = ArrayList()
            var id = routes[i].binarySearch(source)
            if (id >= 0) {
                queue.offer(i)
                taken[i] = true
            }
            id = routes[i].binarySearch(target)
            if (id >= 0) {
                targetRoutes.add(i)
            }
        }
        for (i in 0 until len) {
            for (j in i + 1 until len) {
                if (commonStop(routes[i], routes[j])) {
                    graph[i]?.add(j)
                    graph[j]?.add(i)
                }
            }
        }
        return graph
    }

    private fun commonStop(routeA: IntArray, routeB: IntArray): Boolean {
        var idA = 0
        var idB = 0
        while (idA < routeA.size && idB < routeB.size) {
            if (routeA[idA] == routeB[idB]) {
                return true
            } else if (routeA[idA] < routeB[idB]) {
                idA++
            } else {
                idB++
            }
        }
        return false
    }
}

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