This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Code by @marlov
*/
#include <iostream>
#include <fstream>
#include <string>
#include <sstream>
#include <vector>
#include <string>
#include <cmath>
#include <algorithm>
#include <iomanip>
#include <utility>
#include <set>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <stack>
#include <queue>
#include <iterator>
using namespace std;
typedef long long ll;
typedef pair<int,int> pi;
#define INF 200000000
#define maxV 30005
int N,M;
pair<int,int> doge[maxV];
int dist[maxV];
int visited[maxV];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin>>N>>M;
for(int i=0;i<M;i++){
cin>>doge[i].first>>doge[i].second;
dist[i]=INF;
}
//dijkstra's
priority_queue< pair<int,int>,vector< pair<int,int> >,greater< pair<int,int> > >pq;
dist[0]=0;
pq.push( make_pair(0,0) );
while(!pq.empty()&&!visited[1]){
int cn=pq.top().second;
pq.pop();
if(visited[cn]==true) continue;
visited[cn]=true;
for(int i=0;i<N;i++){
int dtn=abs(doge[cn].first-doge[i].first);
if(dtn%doge[cn].second==0){
if(dist[cn]+(dtn/doge[cn].second)<dist[i]){
dist[i]=dist[cn]+(dtn/doge[cn].second);
pq.push(make_pair(dist[i],i));
}
}
}
}
if(dist[1]==INF){
cout<<-1<<'\n';
}else{
cout<<dist[1]<<'\n';
}
return 0;
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1,n=0?)
* do smth instead of nothing and stay organized
*/
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