This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define lg long long
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//Jakarta Skyscraper
const lg N = 300005;
lg dist[N], in_queue[N];
vector<pair<lg, lg>> adj[N];
vector<lg> b(N), p(N);
void dijkstra(lg src)
{
priority_queue<array<lg, 2>> pq;
pq.push({0, src});
in_queue[src] = 1;
memset(dist, 0x3f, sizeof(dist));
dist[src] = 0;
while(pq.size())
{
lg x = pq.top()[1];
in_queue[x] = 0;
pq.pop();
for(auto [it, c] : adj[x])
{
if(dist[it] > dist[x]+c)
{
dist[it] = dist[x]+c;
if(!in_queue[it]) pq.push({-dist[it], it});
in_queue[it] = true;
}
}
}
return;
}
int main()
{
fastio;
lg n, m;
cin >> n >> m;
for(int i = 0; i < m; i++)
{
cin >> b[i] >> p[i];
}
for(int i = 0; i < m; i++)
{
lg x = b[i]+p[i], z = 1;
while(x < n)
{
adj[b[i]].push_back({x, z});
z++;
x += p[i];
}
x = b[i]-p[i];
z = 1;
while(x >= 0)
{
adj[b[i]].push_back({x, z});
z++;
x -= p[i];
}
}
dijkstra(b[0]);
if(dist[b[1]] == dist[N-1])
{
cout << "-1\n";
return 0;
}
cout << dist[b[1]] << '\n';
return 0;
}
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