This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/BOI16_park
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using db = double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vpd = vector<pd>;
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(0);
#define FASTIOF ios_base::sync_with_stdio(false); fin.tie(0);
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pb push_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define R0F(i, a) ROF(i, 0, a)
#define EACH(a, x) for (auto& a : x)
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); }
ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<class T> void remDup(vector<T>& v) { sor(v); v.erase(unique(all(v)), v.end()); }
const int MOD = 1e9 + 7;
const int MX = 3e4 + 10;
const ll INF = 1e18;
int N, M, B[MX], P[MX]; vpi adj[MX]; unordered_set<int> MP[MX];
int main() {
FASTIO;
cin >> N >> M;
F0R(i, M) {
cin >> B[i] >> P[i];
MP[B[i]].insert(P[i]);
}
F0R(i, N) {
EACH(D, MP[i]) {
int curNode = i + D, dist = 1;
while (curNode < N) {
adj[i].pb({curNode, dist});
if (MP[curNode].count(D)) {
break;
}
curNode += D, dist++;
}
curNode = i - D, dist = 1;
while (curNode >= 0) {
adj[i].pb({curNode, dist});
if (MP[curNode].count(D)) {
break;
}
curNode -= D, dist++;
}
}
}
priority_queue<pi, vpi, greater<pi>> PQ;
int minDist[MX];
F0R(i, N) {
minDist[i] = MOD;
}
minDist[B[0]] = 0;
PQ.push({0, B[0]});
while (!PQ.empty()) {
pi cur = PQ.top(); PQ.pop();
if (cur.s == B[1]) {
return cout << minDist[B[1]], 0;
}
if (cur.f > minDist[cur.s]) {
continue;
}
EACH(nxt, adj[cur.s]) {
if (minDist[nxt.f] > minDist[cur.s] + nxt.s) {
minDist[nxt.f] = minDist[cur.s] + nxt.s;
PQ.push({minDist[nxt.f], nxt.f});
}
}
}
cout << "-1";
}
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