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 <iostream>
#include <vector>
#include <tuple>
#include <queue>
#include <stack>
#include <deque>
#include <set>
#include <map>
#include <cmath>
#include <random>
#include <string>
#include <bitset>
#include <cassert>
#include <climits>
#include <algorithm>
#include <unordered_set>
#include <unordered_map>
using namespace std;
#define ll long long
#define f first
#define s second
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template<typename A> void __print(const A &x);
template<typename A, typename B> void __print(const pair<A, B> &p);
template<typename... A> void __print(const tuple<A...> &t);
template<typename T> void __print(stack<T> s);
template<typename T> void __print(queue<T> q);
template<typename T, typename... U> void __print(priority_queue<T, U...> q);
template<typename A> void __print(const A &x) {
bool first = true;
cerr << '{';
for (const auto &i : x) {
cerr << (first ? "" : ","), __print(i);
first = false;
}
cerr << '}';
}
template<typename A, typename B> void __print(const pair<A, B> &p) {
cerr << '(';
__print(p.f);
cerr << ',';
__print(p.s);
cerr << ')';
}
template<typename... A> void __print(const tuple<A...> &t) {
bool first = true;
cerr << '(';
apply([&first] (const auto &...args) { ((cerr << (first ? "" : ","), __print(args), first = false), ...); }, t);
cerr << ')';
}
template<typename T> void __print(stack<T> s) {
vector<T> debugVector;
while (!s.empty()) {
T t = s.top();
debugVector.push_back(t);
s.pop();
}
reverse(debugVector.begin(), debugVector.end());
__print(debugVector);
}
template<typename T> void __print(queue<T> q) {
vector<T> debugVector;
while (!q.empty()) {
T t = q.front();
debugVector.push_back(t);
q.pop();
}
__print(debugVector);
}
template<typename T, typename... U> void __print(priority_queue<T, U...> q) {
vector<T> debugVector;
while (!q.empty()) {
T t = q.top();
debugVector.push_back(t);
q.pop();
}
__print(debugVector);
}
void _print() { cerr << "]\n"; }
template <typename Head, typename... Tail> void _print(const Head &H, const Tail &...T) {
__print(H);
if (sizeof...(T)) cerr << ", ";
_print(T...);
}
#ifdef DEBUG
#define D(...) cerr << "Line: " << __LINE__ << " [" << #__VA_ARGS__ << "] = ["; _print(__VA_ARGS__)
#else
#define D(...)
#endif
int n, m, idx, dist[7000005];
bool seen[7000005];
vector<pair<int, int>> adj[7000005], doge;
int mp[2005][30005];
void connect(int x1, int p1, int x2, int p2, int d) {
if (x2 >= 0 && x2 <= n - 1 && x1 >= 0 && x1 <= n - 1) {
if (mp[x1][p1] == -1) {
mp[x1][p1] = idx++;
}
if (mp[x2][p2] == -1) {
mp[x2][p2] = idx++;
}
adj[mp[x1][p1]].push_back({mp[x2][p2], d});
}
}
void dijkstra(int start) {
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
fill(dist, dist + 7000005, 2e9);
dist[start] = 0;
pq.push({0, start});
while (!pq.empty()) {
int curr = pq.top().s;
pq.pop();
if (seen[curr]) continue;
seen[curr] = true;
for (auto [i, d] : adj[curr]) {
if (dist[curr] + d < dist[i]) {
dist[i] = dist[curr] + d;
pq.push({dist[i], i});
}
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
fill(&mp[0][0], &mp[0][0] + sizeof(mp) / sizeof(mp[0][0]), -1);
cin >> n >> m;
for (int i = 0, b, p; i < m; i++) {
cin >> b >> p;
for (int j = b; j >= 0; j -= p) {
connect(j, p, j - p, 0, 1);
connect(j, p, j + p, 0, 1);
connect(j, p, j - p, p, 1);
connect(j - p, p, j, p, 1);
}
for (int j = b; j <= n - 1; j += p) {
if (j > b) {
connect(j, p, j - p, 0, 1);
connect(j, p, j + p, 0, 1);
}
connect(j, p, j + p, p, 1);
connect(j + p, p, j, p, 1);
}
connect(b, 0, b, p, 0);
connect(b, p, b, 0, 0);
doge.push_back({b, p});
}
dijkstra(mp[doge[0].f][0]);
cout << (dist[mp[doge[1].f][doge[1].s]] == 2e9 ? -1 : dist[mp[doge[1].f][doge[1].s]]) << "\n";
}
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