This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #define TASK "sweets"
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse4.2,avx2")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("unroll-all-loops")
#include <bits/stdc++.h>
// #include <ext/rope>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/detail/standard_policies.hpp>
// using namespace __gnu_cxx;`
// using namespace __gnu_pbds;
using namespace std;
// template<class K>
// using ordered_set = tree<K, null_type, less<K>, rb_tree_tag, tree_order_statistics_node_update>;
// template<class K, class T>
// using ordered_map = tree<K, T, less<K>, rb_tree_tag, tree_order_statistics_node_update>;
// mt19937 rnd((int)chrono::high_resolution_clock::now().time_since_epoch().count());
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define F first
#define S second
#define pb push_back
#define pii pair<int, int>
#define len(x) (long long)x.size()
#define int long long
typedef long long ll;
typedef long double ld;
const long long INF = (int)numeric_limits<int>::max() >> 1;
const long long MAXN = (long long)1e5 + 10;
const long long MOD = (long long)1e9 + 7;
const long double EPS = (long double)1e-12;
// char _buf_[(int)6e6];
// size_t _p_ = 0;
// inline void *operator new(size_t _n_) {
// _p_ += _n_;
// return _buf_ + _p_ - _n_;
// }
// inline void operator delete(void*) {};
ll power(ll x, ll n, ll mod = 1e9 + 7) {
if (n == 0) return 1ll;
if (n & 1ll) return power(x, n - 1ll, mod) * x % mod;
ll tmp = power(x, n >> 1ll, mod);
return (tmp * tmp) % mod;
}
ll gcd(ll a, ll b) {
if (b == 0) return a;
return gcd (b, a % b);
}
ll lcm(ll a, ll b) {
return a / gcd(a, b) * b;
}
template<typename A, typename B>
bool cmax(A &a, const B &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template<typename A, typename B>
bool cmin(A &a, const B &b) {
if (a > b) {
a = b;
return true;
}
return false;
}
vector<int> b, p;
vector<vector<pii>> g;
signed main() {
#ifndef LOCAL
#ifdef TASK
freopen(TASK".in", "r", stdin);
freopen(TASK".out", "w", stdout);
#endif
#endif
iostream::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// == SOLUTION == //
int n, m;
cin >> n >> m;
b.resize(m); p.resize(m);
for (int i = 0; i < m; i++) {
cin >> b[i] >> p[i];
}
int s = b[0], f = b[1];
vector<set<int>> Power(n);
for (int i = 0; i < m; i++) {
Power[b[i]].insert(p[i]);
}
g.resize(n);
for (int i = 0; i < m; i++) {
int x = b[i];
int dx = p[i];
int cnt = 0;
int cur = x + dx;
while (cur < n) {
cnt++;
g[x].pb({cur, cnt});
if (Power[cur].count(dx)) break;
cur += dx;
}
cnt = 0;
cur = x - dx;
while(cur >= 0) {
cnt++;
g[x].pb({cur, cnt});
if (Power[cur].count(dx)) break;
cur -= dx;
}
}
vector<int> dist(n, INF);
dist[s] = 0;
set<pii> cur;
cur.insert({0, s});
vector<int> used(n, 0);
while (!cur.empty()) {
pii v = *cur.begin();
used[v.S] = 1;
cur.erase(cur.begin());
for (auto u: g[v.S]) {
int cost = u.S;
if (used[u.F]) continue;
cur.erase({u.F, dist[u.F]});
cmin(dist[u.F], dist[v.S] + cost);
cur.insert({u.F, dist[u.F]});
}
}
if (dist[f] == INF) {
cout << -1 << "\n";
return 0;
}
cout << dist[f] << "\n";
}
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