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;
using i64 = long long;
using u64 = unsigned long long;
using i32 = int;
using u32 = unsigned;
using i16 = short;
using u16 = unsigned short;
using ld = long double;
using ii = pair<int, int>;
const int N = 3e4 + 100, K = 174, INF = 1e9;
vector<int> P[N];
unordered_map<int, int> jumps[N];
void solve() {
int n, m;
cin >> n >> m;
vector<int> cnt(n, INF);
queue<ii> q;
int x0 = -1, x1 = -1;
for(int i = 0; i < m; ++i) {
int b, p;
cin >> b >> p;
if(!i) x0 = b;
else if(i == 1) x1 = b;
for(int x = b % p; x < n; x += p) jumps[x][p] = -1;
P[b].push_back(p);
}
for(int p : P[x0]) {
if(jumps[x0][p] == -1) {
jumps[x0][p] = 0;
q.emplace(x0, p);
}
}
while(!q.empty()) {
auto [x, p] = q.front();
q.pop();
int j = jumps[x][p];
cnt[x] = min(cnt[x], j);
if(x == x1) break;
if(x >= p && jumps[x - p][p] == -1) {
jumps[x - p][p] = 1 + j;
q.emplace(x - p, p);
}
if(x + p <= n && jumps[x + p][p] == -1) {
jumps[x + p][p] = 1 + j;
q.emplace(x + p, p);
}
while(!P[x].empty()) {
int k = P[x].back();
P[x].pop_back();
if(jumps[x][k] == -1) {
jumps[x][k] = j;
q.emplace(x, k);
}
}
}
if(cnt[x1] == INF) cout << "-1\n";
else cout << cnt[x1] << '\n';
}
int main() {
ios_base :: sync_with_stdio(false);
cin.tie(0);
int t = 1;
//cin >> t;
while(t--) solve();
return 0;
}
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