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>
#define FIXED_FLOAT(x) std::fixed <<std::setprecision(20) << (x)
#define all(v) (v).begin(), (v).end()
using namespace std;
#define forn(i,n) for (int i = 0; i < (n); ++i)
#define rforn(i, n) for(int i = (n) - 1;i >= 0;--i)
using ll = long long;
int mod = (ll)1e9 + 7;
#define PI acos(-1)
typedef pair<int, int> pairs;
const int INF = 1e9 + 1;
const int N = 2e5 + 100;
const double eps = 1e-7;
template <class T> using V = vector<T>;
template <class T> using VV = V<V<T>>;
template <typename XPAX>
void ckma(XPAX &x, XPAX y) {
x = (x < y ? y : x);
}
template <typename XPAX>
void ckmi(XPAX &x, XPAX y) {
x = (x > y ? y : x);
}
void solve() {
int n, m;
cin >> n >> m;
VV<pairs> g(n);
V<int> f(m), p(m);
forn(i, m) cin >> f[i] >> p[i];
int x, des;
forn(i, m) {
x = f[i];
des = p[i];
int cnt = 1;
for(int j = x + des;j < n;j += des) {
g[x].push_back({j, cnt});
//g[j].push_back({x, cnt});
++cnt;
}
cnt = 1;
for(int j = x - des;j >= 0;j -= des) {
g[x].push_back({j, cnt});
//g[j].push_back({x, cnt});
++cnt;
}
}
V<int> dis(n, INF);
priority_queue<pairs> q;
q.push({0, f[0]});
while(q.size()) {
x = q.top().second;
int s = q.top().first;
s = -s;
q.pop();
for(auto c : g[x]) {
if(s + c.second < dis[c.first]) {
q.push({-(s + c.second), c.first});
dis[c.first] = s + c.second;
}
}
}
cout << (dis[f[1]] == INF ? -1 : dis[f[1]]) << '\n';
}
void test_case() {
int t;
cin >> t;
forn(p, t) {
//cout << "Case #" << p + 1 << ": ";
solve();
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
solve();
}
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