import java.io.*;
import java.util.*;
import sun.security.pkcs11.Secmod.DbMode;
public class F {
static class Edge {
int from, to;
int idx;
public Edge(int from, int to, int idx) {
this.from = from;
this.to = to;
this.idx = idx;
}
}
static class Event implements Comparable<Event> {
int time;
int type;
Edge edge;
public Event(int time, int type, Edge edge) {
this.time = time;
this.type = type;
this.edge = edge;
}
@Override
public int compareTo(Event o) {
if (time != o.time) {
return time < o.time ? -1 : 1;
}
return -Integer.compare(type, o.type);
// return Integer.compare(time, o.time);
}
}
int slow(int n, int m, int[] vs, int[] us, int[] ls, int[] rs) {
boolean[] can = new boolean[n];
can[0] = true;
for (int time = 0;; time++) {
if (can[n – 1]) {
return time;
}
boolean canSmth = false;
for (int i = 0; i < n; i++) {
canSmth |= can[i];
}
if (!canSmth) {
return -1;
}
boolean[] nxt = new boolean[n];
for (int i = 0; i < m; i++) {
nxt[us[i]] |= can[vs[i]] && ls[i] <= time && time < rs[i];
nxt[vs[i]] |= can[us[i]] && ls[i] <= time && time < rs[i];
}
can = nxt;
}
}
int solve(int n, int m, int[] vs, int[] us, int[] ls, int[] rs) {
if (n == 1) {
return 0;
}
PriorityQueue<Event> pq = new PriorityQueue<>(12 * m + 1);
for (int i = 0; i < m; i++) {
int v = vs[i];
int u = us[i];
int l = ls[i];
int r = rs[i];
for (int par = 0; par < 2; par++) {
int start = firstAfter(l, par);
int end = firstAfter(r, par);
if (start >= end) {
continue;
}
Edge eVU = new Edge((2 * v) ^ par, (2 * u) ^ 1 ^ par, 4 * i + 2
* par);
Edge eUV = new Edge((2 * u) ^ par, (2 * v) ^ 1 ^ par, 4 * i + 2
* par + 1);
pq.add(new Event(start, 1, eVU));
pq.add(new Event(end, 3, eVU));
pq.add(new Event(start, 1, eUV));
pq.add(new Event(end, 3, eUV));
}
}
int[] counter = new int[2 * n];
int[] head = new int[2 * n];
int[] next = new int[4 * m];
Edge[] key = new Edge[4 * m];
int ptr = 0;
Arrays.fill(head, -1);
boolean[] everActive = new boolean[4 * m];
boolean[] isDead = new boolean[4 * m];
while (!pq.isEmpty()) {
Event ev = pq.poll();
Edge e = ev.edge;
if (ev.type == 1) {
if (counter[e.from] != 0 || (e.from == 0 && ev.time == 0)) {
pq.add(new Event(ev.time + 1, 2, e));
} else {
key[ptr] = e;
next[ptr] = head[e.from];
head[e.from] = ptr;
ptr++;
}
} else if (ev.type == 2) {
everActive[e.idx] = true;
counter[e.to]++;
if ((e.to >> 1) == n – 1) {
return ev.time;
}
for (int i = head[e.to]; i >= 0; i = next[i]) {
Edge oldEdge = key[i];
if (isDead[oldEdge.idx]) {
continue;
}
pq.add(new Event(ev.time + 1, 2, oldEdge));
}
head[e.to] = -1;
} else {
isDead[e.idx] = true;
if (everActive[e.idx]) {
counter[e.to]–;
}
}
}
return -1;
}
void submit() {
int n = nextInt();
int m = nextInt();
int[] vs = new int[m];
int[] us = new int[m];
int[] ls = new int[m];
int[] rs = new int[m];
for (int i = 0; i < m; i++) {
vs[i] = nextInt() – 1;
us[i] = nextInt() – 1;
ls[i] = nextInt();
rs[i] = nextInt();
}
out.println(solve(n, m, vs, us, ls, rs));
// out.println(slow(n, m, vs, us, ls, rs));
}
int firstAfter(int time, int parity) {
return time + ((time & 1) ^ parity);
}
void preCalc() {
}
static final int B = 4;
void stress() {
for (int tst = 0;; tst++) {
int n = rand(2, B);
int m = rand(0, 3);
int[] vs = new int[m];
int[] us = new int[m];
int[] ls = new int[m];
int[] rs = new int[m];
for (int i = 0; i < m; i++) {
vs[i] = rand(0, n – 1);
us[i] = (vs[i] + rand(1, n – 1)) % n;
ls[i] = rand(0, B);
rs[i] = rand(0, B) + rand(1, B);
}
int fast = solve(n, m, vs, us, ls, rs);
int slow = slow(n, m, vs, us, ls, rs);
if (fast != slow) {
System.err.println(fast + ” vs ” + slow);
System.err.println(n + ” ” + m);
System.err.println(Arrays.toString(vs));
System.err.println(Arrays.toString(us));
System.err.println(Arrays.toString(ls));
System.err.println(Arrays.toString(rs));
throw new AssertionError();
}
System.err.println(tst++);
}
}
void test() {
}
F() throws IOException {
br = new BufferedReader(new InputStreamReader(System.in));
out = new PrintWriter(System.out);
preCalc();
submit();
// stress();
// test();
out.close();
}
static final Random rng = new Random();
static int rand(int l, int r) {
return l + rng.nextInt(r – l + 1);
}
public static void main(String[] args) throws IOException {
new F();
}
BufferedReader br;
PrintWriter out;
StringTokenizer st;
String nextToken() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return st.nextToken();
}
String nextString() {
try {
return br.readLine();
} catch (IOException e) {
throw new RuntimeException(e);
}
}
int nextInt() {
return Integer.parseInt(nextToken());
}
long nextLong() {
return Long.parseLong(nextToken());
}
double nextDouble() {
return Double.parseDouble(nextToken());
}
}
, problem: (F) Dirty Arkady’s Kitchen Solution in C/C++. import java.io.*; import){kind=link}