//```// YF YUSUF
#include <bits/stdc++.h>
// #include <iostream>
// #include <vector>
// #include <set>
// #include <map>
// #include <algorithm>
// #include <cmath>
// #include <numeric>
// #include <queue>
// #include <stack>
// #include <cassert>
// #include <climits>
// #include <string>
// #include <cstdlib>
// #include <random>
// #include <iomanip>
// #include <ctime>
using namespace std;
#ifdef YF_CHECK
bool LOCAL = 1;
#else
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimize ("inline")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("O3")
bool LOCAL = 0;
#endif
using ll = long long;
using ld = long double;
using vll = vector <ll>;
using mll = map <ll,ll>;
using pll = pair <ll,ll>;
using vvl = vector <vll>;
using vpll = vector <pll>;
template<class T>T MIN(T&a,T b){a=min(a,b);return a;}
template<class T>T MAX(T&a,T b){a=max(a,b);return a;}
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define sgr v+v+1,(tl+tr)/2+1,tr
#define sgl v+v,tl,(tl+tr)/2
#define pb push_back
#define ins insert
#define S second
#define F first
mt19937_64 MT(time(0));
ll BP(ll a,ll b,ll mod=1e9+7){
if(b==0)return 1;
ll q=BP(a,b/2,mod);
return ((q*q)%mod*(b%2?a:1ll))%mod;
}
ll f(ll x){return x*(x+1)/2;}
ll dup(ll a,ll b){return (a+b-1)/b;}
ll lcm(ll a,ll b){return a/__gcd(a,b)*b;}
ll invf(ll x){return (-1+sqrt(1+8*x))/2;}
ll lg(ll x){return (x ? 63 - __builtin_clzll(x) : -1);}
const ll mod=998244353;
const ll INF=1e18;
const ll inf=1e9+7;
const ll N =2e6+7;
ll n, m;
vpll a(m);
ll ns;
pll DH(ll h) {return {h/ns, h%ns};}
ll H(ll a,ll b){return a * ns + b;}
set<pll> g[N];
void pout(pll a){
cout<<a.F<<" "<<a.S;
}
bool make_edge(int v, int to, int w = 1){
bool out = 0;
bool ret = g[v].count({w, to});
if(out){
cout.width(2);
cout<<v<<" ";
cout.width(2);
cout<<to<<" : ";pout(DH(v));cout<<", ";pout(DH(to));
cout<<"\n"<<w<<" "<<ret;
cout<<" tov\n";
}
if(ret){
return 0;
}
g[v].ins({w, to});
return 1;
}
void YF_MAIN(ll TEST){
cin>>n>>m;
a.resize(m);
ns = sqrt(n) * 3;
for(int i=1;i<=n;i++){
for(int j=1; j<=sqrt(n);j++){
make_edge(H(i, 0), H(i, j), 0);
make_edge(H(i, j), H(i, 0), 0);
}
}
for(auto &[b, p] : a){
cin>>b>>p;
++b;
if(p>=n)continue;
if(p <= sqrt(n)){
for(int to = b - p; 1 <= to; to -= p){
if(!make_edge(H(b, p), H(to, p), abs(b - to) / p)){
// cout<<b<<" "<<to<<" "<<p<<" break\n";
break;
}
}
for(int to = b + p; to <= n; to += p){
if(!make_edge(H(b, p), H(to, p), abs(b - to) / p)){
// cout<<b<<" "<<to<<" "<<p<<" break\n";
break;
}
}
} else{
for(int to = b % p; to <= n; to+=p)if(1 <= to){
make_edge(H(to, 0), H(b, 0), abs(to-b) / p);
}
}
}
ll s=H(a[0].F, 0), f=H(a[1].F, 0);
priority_queue <pll,vector<pll>,greater<pll> > q;
vector<ll> d(H(n, sqrt(n))+1,inf);
d[s]=0;
q.push({0,s});
// cout<<s<<" "<<f<<" sf\n";
while(q.size()){
auto [dist,v] = q.top();
q.pop();
// pout(DH(v));
// cout<<", "<<dist<<" ";
// cout<<v<<" : ";
for(auto [dto,to] : g[v]){
if(d[to] > d[v] + dto){
// cout<<to<<" ";
d[to]=d[v]+dto;
q.push({d[to],to});
}
}
// cout<<"\n";
}
cout<<d[f];
}
const bool TECT=0;
const bool FLSH=1;
const ll SN=1e0 + 7; ll SM[SN];
const ll FN=1e0 + 7; ll FACT[FN], inv[FN], FMOD=inf;
ll PNK(ll n,ll k){return FACT[n] *inv[n-k]%FMOD;}
ll CNK(ll n,ll k){return PNK(n,k)*inv[k ]%FMOD;}
void BEFORE(){
for(ll i=2;i<SN;i++){
if(SM[i])continue;
for(ll j=i;j<SN;j+=i)
MAX(SM[j],i);
}
FACT[0]=inv[0]=1;
for(int i=1;i<FN;i++){
FACT[i]=FACT[i-1]*i%FMOD;
inv[i]=BP(FACT[i],FMOD-2,FMOD);
}
}
signed main(){
// freopen(("input.txt"),"r",stdin);freopen(("output.txt"),"w",stdout);
if(FLSH){
ios_base::sync_with_stdio(0);
cout.setf(ios::fixed);
cout.precision(0);
cout.tie(0);
cin.tie(0);
}
int TEST=1;
if(TECT)
cin>>TEST;
BEFORE();
for(int T=1;T<=TEST;T++){
// cout<<"Case "<<T<<": ";
YF_MAIN(T);
cout<<(T==TEST ? "" : "\n");
}
return 0;
}
// YF YUSUF ```
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