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"
using namespace std;
#define ll long long
#define forn(i,n) for(int i=0;i<n;i++)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(),v.rend()
#define pb push_back
#define sz(a) (int)a.size()
const int N = 3e5 + 10;
vector<pair<int, int>> adj[N];
vector<int> dog[N];
void solve() {
int n, m; cin >> n >> m;
vector<int> b(m), p(m);
for(int i = 0;i < m; ++i) {
cin >> b[i] >> p[i];
dog[b[i]].pb(i);
}
priority_queue<pair<int,int>> q;
vector<int> dist(m, INT_MAX);
dist[0] = 0;
q.push({0, 0});
while(!q.empty()) {
int u = q.top().second;
q.pop();
int pp = b[u];
int jumps = 0;
for(int v: dog[pp]) {
if(dist[v] > dist[u] + jumps) {
dist[v] = dist[u] + jumps;
q.push({-dist[v], v});
}
}
while(pp + p[u] < n) {
pp += p[u];
++jumps;
for(int v: dog[pp]) {
if(dist[v] > dist[u] + jumps) {
dist[v] = dist[u] + jumps;
q.push({-dist[v], v});
}
break;
}
}
pp = b[u], jumps = 0;
while(pp - p[u] >= 0) {
pp -= p[u];
++jumps;
for(int v: dog[pp]) {
if(dist[v] > dist[u] + jumps) {
dist[v] = dist[u] + jumps;
q.push({-dist[v], v});
}
break;
}
}
}
if(dist[1] == INT_MAX) cout << "-1\n";
else
cout << dist[1] << "\n";
}
int32_t main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int t = 1;
//cin >> t;
while(t--) {
solve();
}
}
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