This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*************************************
* author: marvinthang *
* created: 20.04.2023 08:56:45 *
*************************************/
#include <bits/stdc++.h>
#include "game.h"
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b) { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b) { if (a < b) { a = b; return true; } return false; }
// end of template
const int MAX = 3e5 + 5;
vector <int> adj[MAX], radj[MAX];
int N, K, minFrom[MAX], maxTo[MAX], last_diff[MAX];
void init(int n, int k) {
N = n; K = k;
REP(i, N) {
if (i < K) {
minFrom[i] = i + 1;
maxTo[i] = i;
} else {
minFrom[i] = K + 1;
maxTo[i] = 0;
}
}
REP(i, N) last_diff[i] = __lg(maxTo[i] ^ minFrom[i]);
}
bool res;
void dfs(int u) {
if (res) return;
if (minFrom[u] <= maxTo[u]) {
res = true;
return;
}
int nxt_diff = __lg(maxTo[u] ^ minFrom[u]);
if (nxt_diff == last_diff[u]) return;
last_diff[u] = nxt_diff;
for (int v: adj[u]) if (maximize(maxTo[v], maxTo[u])) dfs(v);
for (int v: radj[u]) if (minimize(minFrom[v], minFrom[u])) dfs(v);
}
int add_teleporter(int u, int v) {
if (res) return true;
adj[u].push_back(v);
radj[v].push_back(u);
if (maximize(maxTo[v], u < K ? max(u + 1, maxTo[u]) : maxTo[u])) dfs(v);
if (minimize(minFrom[u], minFrom[v])) dfs(u);
return res;
}
#ifdef LOCAL
#include <cstdio>
#include <cstdlib>
#include <vector>
#include "game.h"
namespace {
int read_int() {
int x;
if (scanf("%d", &x) != 1) {
fprintf(stderr, "Error while reading input\n");
exit(1);
}
return x;
}
} // namespace
int main() {
file("game");
int N = read_int();
int M = read_int();
int K = read_int();
std::vector<int> u(M), v(M);
for (int i = 0; i < M; ++i) {
u[i] = read_int();
v[i] = read_int();
}
init(N, K);
int i;
for (i = 0; i < M; ++i) {
int answer = add_teleporter(u[i], v[i]);
if (answer != 0 && answer != 1) {
i = -1;
break;
} else if (answer == 1) {
break;
}
}
printf("%d\n", i);
return 0;
}
#endif
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