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 INF = 1e9;
struct X {
int d, j, b, type;
X(int d, int j, int b, int type) : d {d}, j {j}, b {b}, type {type} {}
};
const int N = 3e4, K = 173;
int dist[N][K], n, m, s, t, j;
vector<int> jumps[N];
queue<X> q;
void solve() {
cin >> n >> m;
for(int i = 0; i < n; ++i)
for(int j = 0; j * j <= n; ++j)
dist[i][j] = -1;
for(int i = 0; i < m; ++i) {
int b, p;
cin >> b >> p;
if(i == 0) s = b, j = p;
else if(i == 1) t = b;
jumps[b].push_back(p);
}
for(int i = 0; i < n; ++i) {
auto& v = jumps[i];
sort(v.begin(), v.end());
v.resize(unique(v.begin(), v.end()) - v.begin());
}
if(j * j <= n) {
dist[s][j] = 0;
q.emplace(0, j, s, 0);
} else {
q.emplace(0, j, s, -1);
q.emplace(0, j, s, 1);
}
while(!q.empty()) {
auto [d, j, b, type] = q.front();
if(b == t) {
cout << d << '\n';
return;
}
q.pop();
if(type == -1) {
if(b - j >= 0) q.emplace(d + 1, j, b - j, -1);
} else if(type == 1) {
if(b + j < n) q.emplace(d + 1, j, b + j, 1);
} else {
if(b - j >= 0 && dist[b - j][j] == -1) {
dist[b - j][j] = 1 + d;
q.emplace(d + 1, j, b - j, 0);
}
if(b + j < n && dist[b + j][j] == -1) {
dist[b + j][j] = 1 + d;
q.emplace(d + 1, j, b + j, 0);
}
}
while(!jumps[b].empty()) {
int p = jumps[b].back();
jumps[b].pop_back();
if(p * p <= n) {
if(b - p >= 0 && dist[b - p][p] == -1) {
dist[b - p][p] = d + 1;
q.emplace(d + 1, p, b - p, 0);
}
if(b + p < n && dist[b + p][p] == -1) {
dist[b + p][p] = d + 1;
q.emplace(d + 1, p, b + p, 0);
}
} else {
if(b - p >= 0) q.emplace(d + 1, p, b - p, -1);
if(b + p < n) q.emplace(d + 1, p, b + p, 1);
}
}
}
cout << "-1\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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