結果

問題 No.1069 電柱 / Pole (Hard)
ユーザー satanicsatanic
提出日時 2020-05-30 09:54:39
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,202 ms / 2,000 ms
コード長 11,413 bytes
コンパイル時間 2,429 ms
コンパイル使用メモリ 171,892 KB
実行使用メモリ 46,208 KB
最終ジャッジ日時 2024-07-23 15:08:19
合計ジャッジ時間 8,786 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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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
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 992 ms
24,960 KB
testcase_05 AC 1,202 ms
21,632 KB
testcase_06 AC 51 ms
19,584 KB
testcase_07 AC 58 ms
19,456 KB
testcase_08 AC 37 ms
9,088 KB
testcase_09 AC 62 ms
19,840 KB
testcase_10 AC 61 ms
24,832 KB
testcase_11 AC 5 ms
6,940 KB
testcase_12 AC 8 ms
6,944 KB
testcase_13 AC 63 ms
6,940 KB
testcase_14 AC 55 ms
6,940 KB
testcase_15 AC 26 ms
6,944 KB
testcase_16 AC 26 ms
9,344 KB
testcase_17 AC 11 ms
6,944 KB
testcase_18 AC 23 ms
7,296 KB
testcase_19 AC 43 ms
11,008 KB
testcase_20 AC 17 ms
6,940 KB
testcase_21 AC 37 ms
6,940 KB
testcase_22 AC 35 ms
6,944 KB
testcase_23 AC 35 ms
6,944 KB
testcase_24 AC 82 ms
32,256 KB
testcase_25 AC 82 ms
32,000 KB
testcase_26 AC 53 ms
32,256 KB
testcase_27 AC 52 ms
32,128 KB
testcase_28 AC 53 ms
32,000 KB
testcase_29 AC 15 ms
9,216 KB
testcase_30 AC 3 ms
6,940 KB
testcase_31 AC 2 ms
6,944 KB
testcase_32 AC 2 ms
6,940 KB
testcase_33 AC 2 ms
6,940 KB
testcase_34 AC 2 ms
6,940 KB
testcase_35 AC 2 ms
6,940 KB
testcase_36 AC 2 ms
6,940 KB
testcase_37 AC 9 ms
6,940 KB
testcase_38 AC 8 ms
6,944 KB
testcase_39 AC 3 ms
6,944 KB
testcase_40 AC 6 ms
6,940 KB
testcase_41 AC 13 ms
6,944 KB
testcase_42 AC 8 ms
6,940 KB
testcase_43 AC 13 ms
6,944 KB
testcase_44 AC 36 ms
10,752 KB
testcase_45 AC 24 ms
6,944 KB
testcase_46 AC 30 ms
7,296 KB
testcase_47 AC 39 ms
11,648 KB
testcase_48 AC 67 ms
23,680 KB
testcase_49 AC 39 ms
13,440 KB
testcase_50 AC 6 ms
6,940 KB
testcase_51 AC 54 ms
18,560 KB
testcase_52 AC 6 ms
6,944 KB
testcase_53 AC 61 ms
22,784 KB
testcase_54 AC 2 ms
6,940 KB
testcase_55 AC 2 ms
6,940 KB
testcase_56 AC 2 ms
6,940 KB
testcase_57 AC 2 ms
6,940 KB
testcase_58 AC 2 ms
6,940 KB
testcase_59 AC 3 ms
6,940 KB
testcase_60 AC 2 ms
6,940 KB
testcase_61 AC 3 ms
6,940 KB
testcase_62 AC 2 ms
6,940 KB
testcase_63 AC 2 ms
6,944 KB
testcase_64 AC 2 ms
6,944 KB
testcase_65 AC 2 ms
6,944 KB
testcase_66 AC 2 ms
6,944 KB
testcase_67 AC 2 ms
6,940 KB
testcase_68 AC 2 ms
6,940 KB
testcase_69 AC 89 ms
38,016 KB
testcase_70 AC 99 ms
46,208 KB
testcase_71 AC 99 ms
44,672 KB
testcase_72 AC 26 ms
12,800 KB
testcase_73 AC 45 ms
19,072 KB
testcase_74 AC 94 ms
46,208 KB
testcase_75 AC 68 ms
46,208 KB
testcase_76 AC 62 ms
28,160 KB
testcase_77 AC 62 ms
24,320 KB
testcase_78 AC 3 ms
6,944 KB
testcase_79 AC 41 ms
6,940 KB
testcase_80 AC 38 ms
11,904 KB
testcase_81 AC 36 ms
6,944 KB
testcase_82 AC 27 ms
6,940 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

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// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)std::cin>>w;
// output
template<typename T>void MACRO_OUT(const T t) { std::cout << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { std::cout << first << " "; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<std::setw(n)<<std::setfill(c)<<(dist);
#define EOUT(...) { OUT(__VA_ARGS__)BR; exit(0); }
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t: ";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t: ";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}
#define SHOWSTACK(a) {auto tmp(a);std::cerr << #a << "\t: ";while(!tmp.empty()){std::cerr << tmp.top() << " ";tmp.pop();}std::cerr << "\n";}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;

template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const
using i64 = std::int_fast64_t;
using u64 = std::uint_fast64_t;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<i64, i64>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-6;
constexpr i64 MOD = 998244353;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8---------



signed main() {
	INIT;

	VAR(int, n, m, k, x, y); --x; --y;
	VEC_ROW(int, n, p, q);
	VEC_ROW(int, m, P, Q);

	VV<ld> cost(n, V<ld>(n, 1e300));
	REP(i, n) REP(j, n) cost[i][j] = std::hypot(p[i] - p[j], q[i] - q[j]);
	REP(i, m) --P[i], --Q[i];

	V<std::map<int, ld>> g(n);
	auto reset = [&] {
		g.resize(0);
		g.resize(n);
		REP(i, m) {
			g[P[i]][Q[i]] = cost[P[i]][Q[i]];
			g[Q[i]][P[i]] = cost[Q[i]][P[i]];
		}
	};
	reset();

	std::set<V<int>> shortpathset;
	using Pa = std::pair<ld, V<int>>;
	std::priority_queue<Pa, V<Pa>, std::greater<Pa>> candpathpq;
	std::set<V<int>> candpathset;

	std::vector<ld> dist(n);
	V<int> pre(n);

	auto getLastPath = [&] {
		V<int> res({ y });
		int now = y;
		while (pre[now] != -1) {
			now = pre[now];
			res.emplace_back(now);
		}
		std::reverse(ALL(res));
		return res;
	};

	std::function<void(int)> Dijkstra = [&](int s) {
		using P = std::pair<ld, int>;
		std::priority_queue<P, std::vector<P>, std::greater<P>> pq;
		FILL(dist, 1e300l);
		FILL(pre, -1);
		dist[s] = 0.l;
		pq.push(P(0.l, s));
		while (!pq.empty()) {
			P p = pq.top(); pq.pop();
			int v = p.second;
			if (dist[v] < p.first) continue;
			for (const auto& e : g[v]) {
				if (dist[e.first] > dist[v] + e.second) {
					dist[e.first] = dist[v] + e.second;
					pre[e.first] = v;
					pq.push(P(dist[e.first], e.first));
				}
			}
		}
	};

	Dijkstra(x);
	V<int> path = getLastPath();
	shortpathset.insert(path);
	V<ld> ans({ dist[y] });

	while (ans.size() < k) {
		ld sum = 0;
		REP(i, path.size() - 1) {
			REP(j, i) {
				for (auto x : g[path[j]]) g[x.first].erase(path[j]);
				g[path[j]].clear();
			}
			g[path[i]].erase(path[i + 1]);
			g[path[i + 1]].erase(path[i]);
			for (auto& tpath : shortpathset) {
				if (i + 1 >= tpath.size()) continue;
				if (tpath == path) continue;
				bool ok = true;
				REP(j, i + 1) if (tpath[j] != path[j]) ok = false;
				if (ok) {
					g[tpath[i]].erase(tpath[i + 1]);
					g[tpath[i + 1]].erase(tpath[i]);
				}
			}
			Dijkstra(path[i]);
			V<int> tpath(path.begin(), path.begin() + i);
			{
				auto tmppath = getLastPath();
				tpath.insert(tpath.end(), ALL(tmppath));
			}
			if (dist[y] < 1e100) {
				if (!shortpathset.count(tpath) && !candpathset.count(tpath)) {
					candpathset.insert(tpath);
					candpathpq.emplace(sum + dist[y], tpath);
				}
			}
			sum += cost[path[i]][path[i + 1]];
			reset();
		}
		if (candpathpq.empty()) break;
		Pa mi = candpathpq.top(); candpathpq.pop();
		if (mi.first > 1e100) break;
		path = mi.second;
		candpathset.erase(path);
		shortpathset.insert(path);
		ans.emplace_back(mi.first);
	}

	ans.resize(k, -1);
	REP(i, k) {
		if (ans[i] < 0 || ans[i] > 1e100) {
			OUT(-1)BR;
		}
		else {
			FOUT(12, ans[i])BR;
		}
	}

	return 0;
}
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