This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
///* __ __ __ */
///* ====== _ /| /| __ _ / | | /| | * | | | | / /| |\ | / | | * | / */
///* \- || |_| |_ / |/ | | | |_ |- | |--| /-| | | \ \ |==| |- /=| | \ | | |--| | |- */
///* || | | |_ / | |__| _| |_ \__ | | / | |__ | __| | | | \ / | | \| \__ | | | | \ */
///*
// autor :: Rick Prime
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define int long long
#define Mp make_pair
#define double double long
typedef vector<int> vi;
typedef vector<double> vd;
typedef pair<int,int> pii;
typedef vector<pii> vii;
const int N = 1e6, inf = 2e18, mod = 1e9+7;
void solve(){
int n, m;
cin >> n >> m;
vii v(m);
for(auto &[i, j]:v)cin >> i >> j;
int dp[n];
for(int &i:dp)i = inf;
dp[v[0].ff] = 0;
vi r[n];
for(auto [i, j]:v)r[i].pb(j);
priority_queue<pii, vii, greater<pii>> q;
q.push({0, v[0].ff});
while(!q.empty()){
auto [dist, b] = q.top();
q.pop();
if(dp[b] < dist)continue;
for(auto x:r[b]){
int cnt = 0;
for (int i = b; i >= 0; i -= x) {
if (dp[i] > dist + cnt) {
dp[i] = dist + cnt;
q.push({dp[i], i});
}
cnt++;
}
cnt = 0;
for (int i = b; i < n; i += x) {
if (dp[i] > dist + cnt) {
dp[i] = dist + cnt;
q.push({dp[i], i});
}
cnt++;
}
}
}
//for(auto i:dp)cout << i << ' ';
//cout << '\n';
cout << (dp[v[1].ff]==inf?-1:dp[v[1].ff]) << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
int test = 1;
//cin >> test;
while(test--){
solve();
}
}
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