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>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pi;
#define to first
#define cost second
#define pos first
#define range second
struct Q {
ll pos, cost;
};
struct cmp {
bool operator()(const Q& a, const Q& b) {
return a.cost > b.cost;
}
};
vector<pi> V[30001];
ll dst[30001];
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
fill(dst, dst + 30001, LLONG_MAX);
int n, m; cin >> n >> m;
vector<pi> doge(m);
vector<int> posdoge(n + 1, -1);
int s = 0, e = 0;
for (int i = 0; i < m; i++) {
cin >> doge[i].pos >> doge[i].range;
if (i == 0) s = doge[i].pos;
if (i == 1) e = doge[i].pos;
}
sort(doge.begin(), doge.end());
for (int i = 0; i < m; i++)
if (doge[i].pos == s) { s = i; break; }
for (int i = 0; i < m; i++)
if (doge[i].pos == e) { e = i; break; }
for (int i = 0; i < m; i++)
posdoge[doge[i].pos] = i;
for (int i = 0; i < m; i++) {
pi& now = doge[i];
for (int j = now.pos + now.range; j < n; j += now.range) {
int idx = posdoge[j];
if (idx == -1) continue;
ll dst = doge[idx].pos - now.pos;
V[i].push_back({ idx, dst / now.range });
//if (now.range == doge[idx].range) break;
}
for (int j = now.pos - now.range; j >= 0; j -= now.range) {
int idx = posdoge[j];
if (idx == -1) continue;
ll dst = now.pos - doge[idx].pos;
V[i].push_back({ idx, dst / now.range });
//if (now.range == doge[idx].range) break;
}
}
priority_queue<Q, vector<Q>, cmp> pq;
pq.push({ s, 0 });
while (!pq.empty()) {
Q top = pq.top(); pq.pop();
if (top.pos == e) {
cout << top.cost;
return 0;
}
for (pi w : V[top.pos]) {
if (dst[w.to] > top.cost + w.cost) {
dst[w.to] = top.cost + w.cost;
pq.push({ w.to, dst[w.to] });
}
}
}
cout << -1;
return 0;
}
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