#783113 (C++17) No.5007 Steiner Space Travel

提出ソース

結果

問題	No.5007 Steiner Space Travel
ユーザー	FF256grhy
提出日時	2022-07-30 16:28:26
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2 ms / 1,000 ms
コード長	7,359 bytes
コンパイル時間	2,496 ms
実行使用メモリ	3,720 KB
スコア	6,418,023
最終ジャッジ日時	2022-07-30 16:28:31
合計ジャッジ時間	3,617 ms
ジャッジサーバーID （参考情報）	judge14 / judge12
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 3,532 KB
testcase_01	AC	2 ms 3,528 KB
testcase_02	AC	2 ms 3,592 KB
testcase_03	AC	2 ms 3,688 KB
testcase_04	AC	2 ms 3,664 KB
testcase_05	AC	2 ms 3,668 KB
testcase_06	AC	2 ms 3,636 KB
testcase_07	AC	2 ms 3,680 KB
testcase_08	AC	2 ms 3,532 KB
testcase_09	AC	2 ms 3,584 KB
testcase_10	AC	2 ms 3,652 KB
testcase_11	AC	2 ms 3,692 KB
testcase_12	AC	2 ms 3,688 KB
testcase_13	AC	2 ms 3,708 KB
testcase_14	AC	2 ms 3,668 KB
testcase_15	AC	2 ms 3,708 KB
testcase_16	AC	2 ms 3,592 KB
testcase_17	AC	1 ms 3,708 KB
testcase_18	AC	2 ms 3,692 KB
testcase_19	AC	1 ms 3,536 KB
testcase_20	AC	2 ms 3,560 KB
testcase_21	AC	2 ms 3,720 KB
testcase_22	AC	2 ms 3,668 KB
testcase_23	AC	2 ms 3,692 KB
testcase_24	AC	2 ms 3,656 KB
testcase_25	AC	2 ms 3,704 KB
testcase_26	AC	2 ms 3,672 KB
testcase_27	AC	2 ms 3,540 KB
testcase_28	AC	2 ms 3,652 KB
testcase_29	AC	2 ms 3,636 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
#define incII(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <= (r); i++)
#define incIX(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <  (r); i++)
#define incXI(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <= (r); i++)
#define incXX(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <  (r); i++)
#define decII(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >= (l); i--)
#define decIX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >= (l); i--)
#define decXI(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >  (l); i--)
#define decXX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >  (l); i--)
#define inc(i, n)  incIX(i, 0, n)
#define dec(i, n)  decIX(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
auto inII = [](auto a, auto l, auto r) -> bool { return (l <= a && a <= r); };
auto inIX = [](auto a, auto l, auto r) -> bool { return (l <= a && a <  r); };
auto inXI = [](auto a, auto l, auto r) -> bool { return (l <  a && a <= r); };
auto inXX = [](auto a, auto l, auto r) -> bool { return (l <  a && a <  r); };
auto setmin   = [](auto & a, auto b) -> bool { return (b <  a ? a = b, true : false); };
auto setmax   = [](auto & a, auto b) -> bool { return (b >  a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) -> bool { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) -> bool { return (b >= a ? a = b, true : false); };
using LL = long long int;
using LD = long double;
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define FI first
#define SE second
#define FR front()
#define BA back()
#define ALL(a) begin(a), end(a)
#define RALL(a) rbegin(a), rend(a)
#define RV(a) reverse(ALL(a))
#define ST(a) sort(ALL(a))
#define RST(a) sort(RALL(a))
#define SC static_cast
#define SI(a) SC<int>(a.size())
#define SL(a) SC<LL>(a.size())
#define RF(e, ...) for(auto && e: __VA_ARGS__)
#define SF(a, ...) for(auto && [__VA_ARGS__]: a)
#define until(...) while(not(__VA_ARGS__))
#define if_not(...) if(not(__VA_ARGS__))
#define ef else if
#define UR assert(false)
auto * IS = & cin;
auto * OS = & cout;
template<typename ... A> void in(A & ... a) { (* IS >> ... >> a); }
#define IN(...) __VA_ARGS__; in(__VA_ARGS__)
struct OS_init { OS_init() { * OS << boolalpha << fixed << setprecision(20); } } os_init_;
void                                      out_([[maybe_unused]] string const & s) { }
template<typename A                > void out_([[maybe_unused]] string const & s, A const & a) { * OS << a; }
template<typename A, typename ... B> void out_(                 string const & s, A const & a, B const & ... b) { * OS << a << s; out_(s, b ...); }
auto outF  = [](string const & s, string const & t, auto const & ... a) { out_(s, a ...); * OS << t << flush; };
auto outN  = [](auto const & ... a) { outF(""  , ""  , a ...); };
auto outS  = [](auto const & ... a) { outF(" " , " " , a ...); };
auto outL  = [](auto const & ... a) { outF("\n", "\n", a ...); };
auto outSN = [](auto const & ... a) { outF(" " , ""  , a ...); };
auto outNL = [](auto const & ... a) { outF(""  , "\n", a ...); };
auto outSL = [](auto const & ... a) { outF(" " , "\n", a ...); };
auto out   = outSL;
template<typename A                > void disp_(A const & a) { * OS << a; }
template<typename A, typename ... T> void disp_(A const & a, string const & s, T const & ... t) { string ss; for(auto && e: a) { * OS << ss; ss = s; disp_(e, t ...); } }
auto dispI = [](auto const & a, auto const & s, auto const & ... t) { disp_(a, t ...); * OS << s << flush; };
auto dispT = [](auto const & a, auto const & s, auto const & ... t) { for(auto && e: a) { disp_(e, t ...); * OS << s; } * OS << flush; };
auto dispL = [](auto const & a,                 auto const & ... t) { dispT(a, "\n", t ...); };
template<typename A> istream & operator>>(istream & is, vector<A>       & v) { for(auto && e: v) { is >> e; } return is; }
template<typename A> ostream & operator<<(ostream & os, vector<A> const & v) { string ss; for(auto && e: v) { os << ss << e; ss = " "; } return os; }
template<typename A                > auto make_v(A a) { return a; }
template<typename A, typename ... M> auto make_v(A a, int n, M ... m) { return vector(n, make_v(a, m ...)); }
template<typename A, typename ... N> auto read_v(N ... n) { auto a = make_v(A { }, n ...); in(a); return a; }
template<typename A, size_t N> istream & operator>>(istream & is, array<A, N>       & a) { for(auto && e: a) { is >> e; } return is; }
template<typename A, size_t N> ostream & operator<<(ostream & os, array<A, N> const & a) { string ss; for(auto && e: a) { os << ss << e; ss = " "; } return os; }
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>       & p) { return is >> p.first >> p.second; }
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B> const & p) { return os << p.first << " " << p.second; }
template<int I = 0, typename T> void tin_ (istream & is, T       & t) { if constexpr(I < tuple_size<T>::value) { is >> get<I>(t); tin_<I + 1>(is, t); } }
template<int I = 0, typename T> void tout_(ostream & os, T const & t) { if constexpr(I < tuple_size<T>::value) { if(I != 0) { os << " "; } os << get<I>(t); tout_<I + 1>(os, t); } }
template<typename ... A> istream & operator>>(istream & is, tuple<A ...>       & t) { tin_ (is, t); return is; }
template<typename ... A> ostream & operator<<(ostream & os, tuple<A ...> const & t) { tout_(os, t); return os; }

// ---- ----

class UnionFind {
private:
	int n, s;
	vector<int> t;
	vector<vector<int>> v;
public:
	UnionFind(int nn = 0) { init(nn); }
	void init(int nn) {
		n = s = nn;
		t.clear();
		v.clear();
		inc(i, n) { t.PB(i); v.EB(1, i); }
	}
	int get_n() { return n; }
	int size() { return s; }
	int id(int x) { return t.at(x); }
	const vector<vector<int>> & get_v() { return v; }
	bool unite(int x, int y) {
		x = id(x);
		y = id(y);
		if(x == y) { return false; }
		if(v[x].size() < v[y].size()) { swap(x, y); }
		for(auto & e: v[y]) { v[x].PB(e); t[e] = x; }
		v[y].clear();
		s--;
		return true;
	}
	bool same(int x, int y) { return (id(x) == id(y)); }
	const vector<int> & operator[](int x) { return v[id(x)]; }
	friend ostream & operator<<(ostream & os, const UnionFind & uf) {
		inc(i, uf.n) { os << i << ": "; for(auto & e: uf.v[i]) { os << e << " "; } os << "\n"; }
		return os;
	}
};

// ----

int main() {
	int IN(n, m);
	auto p = read_v<pair<int, int>>(n);
	
	auto dist2 = [](auto a, auto b) -> int {
		auto sq = [](auto x) { return x * x; };
		return sq(a.FI - b.FI) + sq(a.SE - b.SE);
	};
	
	vector<array<int, 3>> v;
	inc(i, n) {
	inc(j, i) {
		v.PB({ dist2(p[i], p[j]), i, j });
	}
	}
	ST(v);
	
	vector<vector<int>> g(n);
	UnionFind uf(n);
	vector<pair<int, int>> s;
	vector<int> L(n);
	SF(v, d_, i, j) { SC<void>(d_);
		if(uf.unite(i, j)) {
			g[i].PB(j);
			g[j].PB(i);
			if(SI(uf) <= 4) {
				s.PB(p[i]); L[i] = SI(s);
				s.PB(p[j]); L[j] = SI(s);
			}
		}
	}
	assert(SI(s) == m);
	
	vector<pair<int, int>> ans;
	function<void(int, int)> dfs = [&](int v, int p) {
		ans.EB(1, v + 1);
		if(L[v] > 0) { ans.EB(2, L[v]); }
		RF(w, g[v]) {
			if(w == p) { continue; }
			dfs(w, v);
			if(L[v] > 0) { ans.EB(2, L[v]); }
			ans.EB(1, v + 1);
		}
	};
	dfs(0, -1);
	ans.EB(1, 0 + 1);
	
	dispL(s);
	out(SI(ans));
	dispL(ans);
}

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結果

テストケース

ソースコード