https://www.acmicpc.net/problem/1884
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.StringTokenizer;
public class Main {
static int preparedCost;
static int cityCount;
static int roadCount;
static Map<Integer, List<Road>> roads;
static void input() {
Reader scanner = new Reader();
preparedCost = scanner.nextInt();
cityCount = scanner.nextInt();
roadCount = scanner.nextInt();
roads = new HashMap<>();
for (int city = 1; city <= cityCount; city++) {
roads.put(city, new ArrayList<>());
}
for (int road = 0; road < roadCount; road++) {
int startCity = scanner.nextInt();
int endCity = scanner.nextInt();
int distance = scanner.nextInt();
int cost = scanner.nextInt();
roads.get(startCity).add(new Road(endCity, distance, cost));
}
}
/*
* 다익스트라 알고리즘을 이용하여 1번 도시부터 다른 모든 도시로의 최단 이동거리를 구한다
* 이때 준비해 둔 교통비 이하로 이용하여 이동해야하기 때문에
* 기존의 1차원 배열 대신 2차원 배열을 이용해 최소 이동거리를 저장한다
* - distances[city][cost] = 시작 도시부터 city번 도시까지 이동하는데 cost만큼 비용을 들였을 때 최소 이동거리
* 다익스트라 알고리즘을 구현할 때 다음 이동까지의 비용을 계산하여 비용이 준비한 교통비를 넘어서게 되면 더이상 해당 경로로는 진행하지 않고 다음 경로를 탐색한다
*/
static void solution() {
int[][] distances = dijkstra(1);
int minDistance = Integer.MAX_VALUE;
for (int cost = 0; cost <= preparedCost; cost++) {
minDistance = Math.min(minDistance, distances[cityCount][cost]);
}
if (minDistance == Integer.MAX_VALUE) {
System.out.println(-1);
return;
}
System.out.println(minDistance);
}
static int[][] dijkstra(int startCity) {
Queue<Road> queue = new PriorityQueue<>();
int[][] distances = new int[cityCount + 1][preparedCost + 1];
for (int row = 1; row <= cityCount; row++) {
Arrays.fill(distances[row], Integer.MAX_VALUE);
}
queue.offer(new Road(startCity, 0, 0));
distances[startCity][0] = 0;
while (!queue.isEmpty()) {
Road cur = queue.poll();
if (distances[cur.city][cur.cost] < cur.distance) {
continue;
}
for (Road next : roads.get(cur.city)) {
int nextCity = next.city;
int nextDistance = next.distance + cur.distance;
int nextCost = next.cost + cur.cost;
if (nextCost > preparedCost) {
continue;
}
if (distances[nextCity][nextCost] > nextDistance) {
distances[nextCity][nextCost] = nextDistance;
queue.offer(new Road(nextCity, nextDistance, nextCost));
}
}
}
return distances;
}
static class Road implements Comparable<Road> {
int city;
int distance;
int cost;
public Road(int city, int distance, int cost) {
this.city = city;
this.distance = distance;
this.cost = cost;
}
@Override
public int compareTo(Road o) {
return cost - o.cost;
}
}
public static void main(String[] args) {
input();
solution();
}
static class Reader {
BufferedReader br;
StringTokenizer st;
public Reader() {
br = new BufferedReader(new InputStreamReader(System.in));
}
String next() {
while (st == null || !st.hasMoreElements()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
}
}