package _1499; import java.io.BufferedReader; import java.io.EOFException; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintStream; import java.io.PrintWriter; import java.io.UncheckedIOException; import java.math.BigInteger; import java.util.ArrayDeque; import java.util.ArrayList; import java.util.Arrays; import java.util.Deque; import java.util.HashMap; import java.util.List; import java.util.Map; import java.util.PriorityQueue; import java.util.function.Supplier; import java.util.regex.Pattern; public class Main { public void exec() { int n = stdin.nextInt(); int m = stdin.nextInt(); int[] a = new int[m]; int[] b = new int[m]; long[] c = new long[m]; for (int i = 0; i < m; i++) { a[i] = stdin.nextInt()-1; b[i] = stdin.nextInt()-1; c[i] = stdin.nextLong(); } long[] t = stdin.nextLongArray(n); Dijkstra dijk = new Dijkstra(n, t); for (int i = 0; i < m; i++) { dijk.add(a[i], b[i], c[i]); dijk.add(b[i], a[i], c[i]); } dijk.run(0); } public class Dijkstra { private int n; private long m; private Map> edges; private long[] T; public Dijkstra(int n, long[] T) { this.n = n; this.edges = new HashMap<>(); this.T = T; this.m = 0; } public void add(int from, int to, long cost) { this.edges.computeIfAbsent(from, unused -> new ArrayList<>()).add(new Edge(to, cost)); this.m = Math.max(m, cost); } public void run(int start) { long[][] score = new long[n][(int)m+2]; for (long[] row : score) Arrays.fill(row, Long.MAX_VALUE); score[start][0] = 0; PriorityQueue q = new PriorityQueue<>(); q.add(new Tuple(start, 0, 0)); while (!q.isEmpty()) { Tuple t = q.remove(); if (!edges.containsKey(t.current)) continue; // 次がない場合 if (score[t.current][(int)t.sum] < t.cost) continue; // cost情報が古い場合 long nxt = Math.min(T[t.current] + t.sum, m+1); for (Edge e : edges.get(t.current)) { if (t.cost + T[t.current] + e.cost/(T[t.current]+t.sum) < score[e.next][(int)nxt]) { score[e.next][(int)nxt] = t.cost + T[t.current] + e.cost/(T[t.current]+t.sum); q.add(new Tuple(e.next, score[e.next][(int)nxt], nxt)); } } } long ans = Arrays.stream(score[n-1]).min().getAsLong(); stdout.println(ans); } private class Edge { private int next; private long cost; public Edge(int next, long cost) { this.next = next; this.cost = cost; } } private class Tuple implements Comparable{ private int current; private long cost; private long sum; public Tuple(int current, long cost, long sum) { this.current = current; this.cost = cost; this.sum = sum; } @Override public int compareTo(Tuple other) { return Long.compare(this.cost, other.cost); } } } private static final Stdin stdin = new Stdin(System.in); private static final Stdout stdout = new Stdout(System.out); public static void main(String[] args) { try { new Main().exec(); } finally { stdout.flush(); } } public static class Stdin { private Deque queue; private BufferedReader in; private Pattern space; public Stdin(InputStream in) { this.queue = new ArrayDeque<>(); this.in = new BufferedReader(new InputStreamReader(in)); this.space = Pattern.compile(" "); } public String nextString() { if (queue.isEmpty()) { try { String line = in.readLine(); if (line == null) { throw new EOFException(); } space.splitAsStream(line).forEach(this.queue::addLast); } catch (IOException e) { throw new UncheckedIOException(e); } } return queue.removeFirst(); } public int nextInt() { return Integer.parseInt(nextString()); } public double nextDouble() { return Double.parseDouble(nextString()); } public long nextLong() { return Long.parseLong(nextString()); } public BigInteger nextBigInteger() { return new BigInteger(nextString()); } public String[] nextStringArray(int n) { String[] a = new String[n]; for (int i = 0; i < n; i++) a[i] = nextString(); return a; } public int[] nextIntArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public double[] nextDoubleArray(int n) { double[] a = new double[n]; for (int i = 0; i < n; i++) a[i] = nextDouble(); return a; } public long[] nextLongArray(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } public BigInteger[] nexBigIntegerArray(int n) { BigInteger[] a = new BigInteger[n]; for (int i = 0; i < n; i++) a[i] = nextBigInteger(); return a; } public List nextIntegerList(int n) { return nextList(n, this::nextInt); } public List nextLongList(int n) { return nextList(n, this::nextLong); } public List nextDoubleList(int n) { return nextList(n, this::nextDouble); } public List nextStringList(int n) { return nextList(n, this::nextString); } public List nextBigIntegerList(int n) { return nextList(n, this::nextBigInteger); } private List nextList(int n, Supplier supplier) { List a = new ArrayList<>(); for (int i = 0; i < n; i++) a.add(supplier.get()); return a; } } public static class Stdout { private PrintWriter stdout; public Stdout(PrintStream stdout) { this.stdout = new PrintWriter(stdout, false); } public void println(Object ... objs) { for (int i = 0, len = objs.length; i < len; i++) { stdout.print(objs[i]); if (i != len-1) stdout.print(' '); } stdout.println(); } public void flush() { stdout.flush(); } } }