This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define MOD (ll)(1e9+7)
#define INF (ll)(1e18)
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
typedef long long int ll;
typedef long double ld;
typedef pair<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
const int sq = 300;
vector<vector<bool>>has(30001,vector<bool>(300));
vii power(30001);
vector<int>dist(30001,1e9);
int main()
{
owo
int n,m;
cin>>n>>m;
vector<int>b(m),p(m);
for(int i=0;i<m;i++){
cin>>b[i]>>p[i];
if(p[i] < sq){
if(!has[b[i]][p[i]])power[b[i]].pb(p[i]);
has[b[i]][p[i]] = 1;
}else{
power[b[i]].pb(p[i]);
}
}
dist[b[0]] = 0;
priority_queue<pii,vector<pii>,greater<pii>>pq;
pq.push({0,b[0]});
while(!pq.empty()){
int v = pq.top().se;
int d = pq.top().fi;
pq.pop();
if(d != dist[v])continue;
if(v == b[1]){
cout<<d;
return 0;
}
//cout<<v<<" "<<d<<'\n';
for(int p:power[v]){
for(int x=v+p;x<n;x+=p){
if(d + (x-v)/p < dist[x]){
dist[x] = d + (x-v)/p;
pq.push({dist[x],x});
}
if(p < sq && has[x][p])break; //has power no need to look further
}
for(int x=v-p;x>=0;x-=p){
if(d + (v-x)/p < dist[x]){
dist[x] = d + (v-x)/p;
pq.push({dist[x],x});
}
if(p < sq && has[x][p])break; //has power no need to look further
}
}
}
cout<<-1;
}
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