This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define int long long
priority_queue<pair<int,pair<int,int>>> q;
vector<int> buildings[30001];
int power[30001];
int dist[30000][201];
bool visited[30000][201];
const int INF = 1e15;
int threshold = 200;
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
for(auto&i:dist)for(int&j:i)j=INF;
int n,m;
cin >> n >> m;
threshold = sqrt(n);
int base,tar;
cin>>base>>power[0]>>tar>>power[1];
buildings[base].emplace_back(power[0]);
buildings[tar].emplace_back(power[1]);
for(int i=2;i<m;i++){
int b;cin>>b>>power[i];
buildings[b].emplace_back(power[i]);
}
q.emplace(0, make_pair(base,0));
dist[base][0] = 0;
while(!q.empty()){
auto curr = q.top();q.pop();
if(visited[curr.second.first][curr.second.second])continue;
visited[curr.second.first][curr.second.second]=true;
if(curr.second.first==tar){
cout << -curr.first << '\n';
return 0;
}
if(curr.second.second==0)for(int&i:buildings[curr.second.first]) {
if(i>threshold){
for (int j = 1; curr.second.first-j*i>= 0; ++j) {
int posnext = curr.second.first - j*i;
if (dist[posnext][0] > j-curr.first) {
dist[posnext][0] = j-curr.first;
q.emplace(curr.first - j, make_pair(posnext, 0));
}
}
for (int j = 1; curr.second.first+j*i < n; ++j) {
int posnext = curr.second.first + j*i;
if (dist[posnext][0] > j-curr.first) {
dist[posnext][0] = j-curr.first;
q.emplace(curr.first - j, make_pair(posnext, 0));
}
}
} else {
if(dist[curr.second.first][i] > -curr.first) {
dist[curr.second.first][i] = -curr.first;
q.emplace(curr.first, make_pair(curr.second.first, i));
}
}
}
else {
if(dist[curr.second.first][0] > -curr.first) {
dist[curr.second.first][0] = -curr.first;
q.emplace(curr.first, make_pair(curr.second.first, 0));
}
if(curr.second.first+curr.second.second<n and dist[curr.second.first+curr.second.second][curr.second.second]>1-curr.first) {
dist[curr.second.first+curr.second.second][curr.second.second] = 1-curr.first;
q.emplace(curr.first - 1, make_pair(curr.second.first + curr.second.second, curr.second.second));
}
if(curr.second.first-curr.second.second>=0 and dist[curr.second.first-curr.second.second][curr.second.second]>1-curr.first) {
dist[curr.second.first-curr.second.second][curr.second.second] = 1-curr.first;
q.emplace(curr.first - 1, make_pair(curr.second.first - curr.second.second, curr.second.second));
}
}
}
cout << "-1\n";
}
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