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 all(x) x.begin(),x.end()
#define pii pair<int, int>
#define ft first
#define sd second
#define MP make_pair
#define PB push_back
#define sz(x) ((int)x.size())
using namespace std;
typedef long long ll;
const ll PW = 43;
const int N = 30010;
const int B = 100;
const int oo = 2e9;
set<pii> st;
vector<int> g[N];
int n, m, bg, dst[N][B], ed;
int make_nom(int x, int y){
return y * n + x;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("in.txt","r",stdin);
cin >> n >> m;
for (int i = 0; i < m; i++){
int ps, vl;
cin >> ps >> vl;
if (i == 0)
bg = ps;
if (i == 1)
ed = ps;
g[ps].PB(vl);
}
for (int i = 0; i < n; i++) {
for (int j = 0; j < B; j++)
dst[i][j] = oo;
sort(all(g[i]));
g[i].resize(unique(all(g[i])) - g[i].begin());
}
dst[bg][0] = 0;
st.insert(MP(0, bg));
while (sz(st)){
int cur = (*st.begin()).sd;
st.erase(st.begin());
if (cur < n){
for (int cr : g[cur]){
if (cr >= B){
int steps = dst[cur][0];
for (int i = cur; i >= 0; i -= cr, steps++){
if (steps < dst[i][0]){
st.erase(MP(dst[i][0], i));
dst[i][0] = steps;
st.insert(MP(dst[i][0], i));
}
}
steps = dst[cur][0];
for (int i = cur; i < n; i += cr, steps++){
if (steps < dst[i][0]){
st.erase(MP(dst[i][0], i));
dst[i][0] = steps;
st.insert(MP(dst[i][0], i));
}
}
} else {
if (dst[cur][cr] > dst[cur][0]){
int nom = make_nom(cur, cr);
st.erase(MP(dst[cur][cr], nom));
dst[cur][cr] = dst[cur][0];
st.insert(MP(dst[cur][cr], nom));
}
}
}
} else {
int dv = cur / n;
cur %= n;
int nw = cur - dv;
int nd = dst[cur][dv] + 1;
if (nw >= 0){
if (dst[nw][dv] > nd){
int nom = make_nom(nw, dv);
st.erase(MP(dst[nw][dv], nom));
dst[nw][dv] = nd;
st.insert(MP(dst[nw][dv], nom));
}
if (dst[nw][0] > nd){
st.erase(MP(dst[nw][0], nw));
dst[nw][0] = nd;
st.insert(MP(dst[nw][0], nw));
}
}
nw = cur + dv;
if (nw < n){
if (dst[nw][dv] > nd){
int nom = make_nom(nw, dv);
st.erase(MP(dst[nw][dv], nom));
dst[nw][dv] = nd;
st.insert(MP(dst[nw][dv], nom));
}
if (dst[nw][0] > nd){
st.erase(MP(dst[nw][0], nw));
dst[nw][0] = nd;
st.insert(MP(dst[nw][0], nw));
}
}
}
}
cout << (dst[ed][0] == oo ? -1 : dst[ed][0]);
return 0;
}
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