#84211 (Java21) No.114 遠い未来

• 問題: No.114 遠い未来
• ユーザー: atn112323
• 提出日時: 2016-03-31 20:34:03
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 2,404 ms / 5,000 ms
• コード長: 15,607 bytes
• コンパイル時間: 3,219 ms
• コンパイル使用メモリ: 90,756 KB
• 実行使用メモリ: 56,636 KB
• 最終ジャッジ日時: 2024-10-02 08:36:16
• 合計ジャッジ時間: 16,914 ms
• ジャッジサーバーID （参考情報）: judge2 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	157 ms; 52,876 KB
testcase_01	AC	978 ms; 56,504 KB
testcase_02	AC	405 ms; 56,560 KB
testcase_03	AC	181 ms; 56,464 KB
testcase_04	AC	62 ms; 50,028 KB
testcase_05	AC	111 ms; 52,680 KB
testcase_06	AC	621 ms; 56,244 KB
testcase_07	AC	67 ms; 50,700 KB
testcase_08	AC	70 ms; 50,544 KB
testcase_09	AC	129 ms; 52,768 KB
testcase_10	AC	2,404 ms; 56,568 KB
testcase_11	AC	2,058 ms; 56,628 KB
testcase_12	AC	816 ms; 56,600 KB
testcase_13	AC	1,073 ms; 56,336 KB
testcase_14	AC	479 ms; 56,096 KB
testcase_15	AC	615 ms; 56,448 KB
testcase_16	AC	360 ms; 56,600 KB
testcase_17	AC	256 ms; 56,192 KB
testcase_18	AC	347 ms; 56,572 KB
testcase_19	AC	219 ms; 56,172 KB
testcase_20	AC	196 ms; 56,636 KB
testcase_21	AC	118 ms; 55,520 KB
testcase_22	AC	121 ms; 55,316 KB
testcase_23	AC	83 ms; 51,036 KB
testcase_24	AC	91 ms; 51,644 KB
testcase_25	AC	68 ms; 50,492 KB
testcase_26	AC	65 ms; 50,472 KB
testcase_27	AC	66 ms; 50,632 KB

ソースコード

import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {

	/**
	 * This class represents a problem setting.
	 */
	class Problem implements IProblem {

		int[] NMT;
		int[][] abc;
		int[] v;
		
		@Override
		public void set(ProblemReader reader) throws IOException {
			NMT = reader.nextIntArray();
			abc = reader.nextIntArray2(NMT[1]);
			v = reader.nextIntArray(NMT[2]);
		}
		
		@Override
		public String toString() {
			// TODO
			return null;
		}
	}
	
	/**
	 * Solver for the problem.
	 * It's the most important part of codes in this file.
	 */
	class Solver implements IProblemSolver<Problem> {

		final int INF = 1000000;
		
		@Override
		public String solve(Problem problem) {
			int N = problem.NMT[0], M = problem.NMT[1], T = problem.NMT[2];
			int[][] abc = problem.abc;
			int[] v = problem.v;
			return StringUtils.toString(solve(N, M, T, abc, v));
		}
		
		private int solve(int N, int M, int T, int[][] abc, int[] v) {
			if (T <= 12) {
				return solve1(N, M, T, abc, v);
			} else {
				return solve2(N, M, T, abc, v);
			}
		}
		
		private int solve1(int N, int M, int T, int[][] abc, int[] v) {
			int[][] d = new int[N][N];
			for (int i = 0; i < N; i++) {
				for (int j = 0; j < N; j++) {
					d[i][j] = INF;
				}
			}
			for (int i = 0; i < N; i++) {
				d[i][i] = 0;
			}
			for (int i = 0; i < M; i++) {
				int a = abc[i][0] - 1, b = abc[i][1] - 1;
				d[a][b] = d[b][a] = Math.min(d[a][b], abc[i][2]);
			}
			for (int k = 0; k < N; k++) {
				for (int i = 0; i < N; i++) {
					for (int j = 0; j < N; j++) {
						d[i][j] = Math.min(d[i][j], d[i][k] + d[k][j]);
					}
				}
			}
			int[][] dp = new int[1 << T][N];
			for (int i = 0; i < 1 << T; i++) {
				for (int j = 0; j < N; j++) {
					dp[i][j] = INF;
				}
			}
			for (int i = 0; i < T; i++) {
				for (int j = 0; j < N; j++) {
					dp[1 << i][j] = d[v[i] - 1][j];
				}
			}
			for (int i = 1; i < 1 << T; i++) {
				for (int j = 0; j < N; j++) {
					int comb = i;
					do {
						dp[i][j] = Math.min(dp[i][j], dp[comb][j] + dp[i ^ comb][j]);
						comb = (comb - 1) & i;
					} while (comb != i);
				}
				for (int j = 0; j < N; j++) {
					for (int k = 0; k < N; k++) {
						dp[i][j] = Math.min(dp[i][j], dp[i][k] + d[k][j]);
					}
				}
			}
			int res = INF;
			for (int i = 0; i < N; i++) {
				res = Math.min(res, dp[(1 << T) - 1][i]);
			}
			return res;
		}
		
		private int solve2(int N, int M, int T, int[][] abc, int[] v) {
			Edge[] edges = new Edge[M];
			for (int i = 0; i < M; i++) {
				edges[i] = new Edge(abc[i]);
			}
			Arrays.sort(edges);
			long s = 0;
			for (int i = 0; i < T; i++) {
				s |= (1l << (v[i] - 1));
			}
			int[] rest = new int[N - T];
			int idx = 0;
			for (int i = 0; i < N; i++) {
				if (((s >> i) & 1) == 0) {
					rest[idx++] = i;
				}
			}
			int res = INF;
			for (int i = 0; i < 1 << (N - T); i++) {
				long ss = s;
				for (int j = 0; j < N - T; j++) {
					if (((i >> j) & 1) == 1) {
						ss |= 1l << rest[j];
					}
				}
				res = Math.min(res, min(N, edges, ss, res));
			}
			return res;
		}
		
		private int min(int N, Edge[] edges, long s, int min) {
			UnionFindTree uft = new UnionFindTree(N);
			int n = Long.bitCount(s);
			int cost = 0;
			for (Edge edge : edges) {
				if (((s >> edge.a) & 1) == 1 && ((s >> edge.b) & 1) == 1 && !uft.same(edge.a, edge.b)) {
					cost += edge.c;
					uft.unite(edge.a, edge.b);
					if (cost >= min) {
						return cost;
					}
					if (uft.count(edge.a) == n) {
						return cost;
					}
				}
			}
			return INF;
		}
		
		class Edge implements Comparable<Edge> {
			
			int a, b, c;
			
			Edge(int[] abc) {
				a = abc[0] - 1;
				b = abc[1] - 1;
				c = abc[2];
			}
			
			@Override
			public int compareTo(Edge edge) {
				if (c != edge.c) {
					return c - edge.c;
				} else if (a != edge.a) {
					return a - edge.a;
				} else {
					return b - edge.b;
				}
			}
		}
		
		class UnionFindTree {

			int[] parent;
			int[] rank;
			int[] count;

			UnionFindTree(int size) {
				parent = new int[size];
				rank = new int[size];
				count = new int[size];
				init();
			}

			void init() {
				for (int i=0; i<parent.length; i++) {
					parent[i] = i;
					rank[i] = 0;
					count[i] = 1;
				}
			}

			int find(int x) {
				if (parent[x] == x) {
					return x;
				} else {
					return parent[x] = find(parent[x]);
				}
			}
			
			int count(int x) {
				return count[find(x)];
			}

			void unite(int x, int y) {
				x = find(x);
				y = find(y);
				if (x==y) {
					return;
				}
				if (rank[x] < rank[y]) {
					parent[x] = y;
					count[y] += count[x];
				} else {
					parent[y] = x;
					if (rank[x] == rank[y]) {
						rank[x]++;
					}
					count[x] += count[y];
				}
			}

			boolean same(int x, int y) {
				return find(x) == find(y);
			}
		}
	}
	
	/**
	 * This class is a solver to confirm the main solver.
	 * This solver often works only for a problem with a small number setting.
	 */
	class Solver2 implements IProblemSolver<Problem> {

		@Override
		public String solve(Problem problem) {
			// TODO
			return null;
		}
	}
	
	class Factory implements IProblemFactory<Problem> {

		@Override
		public Problem newProblem() {
			// TODO
			return null;
		}

		@Override
		public Problem newProblem(ProblemReader reader) throws IOException {
			Problem problem = new Problem();
			problem.set(reader);
			return problem;
		}
	}
	
	class ResultComparator implements IResultComparator {
		
		@Override
		public boolean same(String res1, String res2) {
			// TODO
			return res1.equals(res2);
		}
	}
	
	ProblemProcessor<Problem> processor;
	
	Main() {
		Init();
	}
	
	void Init() {
		ProblemProcessorConfig<Problem> config = new ProblemProcessorConfig<>();
		
		config.factory = new Factory();
		config.solver = new Solver();
		config.solver2 = new Solver2();
		config.comparator = new ResultComparator();
		
		processor = new ProblemProcessor<Problem>(config);
	}
	
	void process(String mode) throws IOException {
		processor.process(mode);
	}
	
	public static void main(String args[]) throws IOException {
		// "create", "debug", and "solve"
		String mode = "solve";
		new Main().process(mode);
	}
	
/*
	Common library
*/
	
	interface IProblem {
		
		abstract void set(ProblemReader reader) throws IOException;
	}
	
	interface IProblemFactory<P extends IProblem> {
		
		abstract P newProblem();
		abstract P newProblem(ProblemReader reader) throws IOException;
	}
	
	interface IProblemSolver<P extends IProblem> {
		
		abstract String solve(P problem);
	}
	
	interface IResultComparator {
		
		abstract boolean same(String res1, String res2);
	}
	
	class ProblemReader {
		
		BufferedReader br = null;
		
		ProblemReader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		
		int nextInt() throws IOException {
			return StringUtils.toInt(br.readLine());
		}
		
		long nextLong() throws IOException {
			return StringUtils.toLong(br.readLine());
		}
		
		double nextDouble() throws IOException {
			return StringUtils.toDouble(br.readLine());
		}
		
		String nextString() throws IOException {
			return br.readLine();
		}
		
		int[] nextIntArray() throws IOException {
			return StringUtils.toIntArray(br.readLine());
		}
		
		long[] nextLongArray() throws IOException {
			return StringUtils.toLongArray(br.readLine());
		}
		
		double[] nextDoubleArray() throws IOException {
			return StringUtils.toDoubleArray(br.readLine());
		}
		
		String[] nextStringArray() throws IOException {
			return StringUtils.toStringArray(br.readLine());
		}
		
		int[] nextIntArray(int n) throws IOException {
			int[] a = new int[n];
			for (int i = 0; i < n; i++) {
				a[i] = nextInt();
			}
			return a;
		}
		
		long[] nextLongArray(int n) throws IOException {
			long[] a = new long[n];
			for (int i = 0; i < n; i++) {
				a[i] = nextLong();
			}
			return a;
		}
		
		double[] nextDoubleArray(int n) throws IOException {
			double[] a = new double[n];
			for (int i = 0; i < n; i++) {
				a[i] = nextDouble();
			}
			return a;
		}
		
		String[] nextStringArray(int n) throws IOException {
			String[] strs = new String[n];
			for (int i = 0; i < n; i++) {
				strs[i] = nextString();
			}
			return strs;
		}
		
		int[][] nextIntArray2(int n) throws IOException {
			int[][] a = new int[n][];
			for (int i = 0; i < n; i++) {
				a[i] = nextIntArray();
			}
			return a;
		}
		
		long[][] nextLongArray2(int n) throws IOException {
			long[][] a = new long[n][];
			for (int i = 0; i < n; i++) {
				a[i] = nextLongArray();
			}
			return a;
		}
		
		double[][] nextDoubleArray2(int n) throws IOException {
			double[][] a = new double[n][];
			for (int i = 0; i < n; i++) {
				a[i] = nextDoubleArray();
			}
			return a;
		}
		
		String[][] nextStringArray2(int n) throws IOException {
			String[][] strs = new String[n][];
			for (int i = 0; i < n; i++) {
				strs[i] = nextStringArray();
			}
			return strs;
		}
		
		void close() throws IOException {
			if (br != null) {
				br.close();
			}
		}
	}
	
	class ProblemCreator<P extends IProblem> {
		
		IProblemFactory<P> factory;
		
		ProblemCreator(IProblemFactory<P> factory) {
			this.factory = factory;
		}
		
		void create() throws FileNotFoundException {
			P problem = factory.newProblem();
			System.out.println(problem.toString());
		}
	}
	
	class ProblemSolverComparator<P extends IProblem> {
		
		IProblemFactory<P> factory;
		IProblemSolver<P> solver1, solver2;
		IResultComparator comparator;
		
		ProblemSolverComparator(IProblemFactory<P> factory, IProblemSolver<P> solver1, IProblemSolver<P> solver2, IResultComparator comparator) {
			this.factory = factory;
			this.solver1 = solver1;
			this.solver2 = solver2;
			this.comparator = comparator;
		}
		
		void compare() throws IOException {
			ProblemReader reader = null;
			try {
				reader = new ProblemReader();
				P problem = factory.newProblem(reader);
				String res1 = solver1.solve(problem);
				String res2 = solver2.solve(problem);
				if (comparator.same(res1, res2)) {
					System.out.println(res1);
				} else {
					System.err.println(res1 + " " + res2);
				}
			} finally {
				if (reader != null) {
					reader.close();
				}
			}
		}
	}
	
	class ProblemAnswerer<P extends IProblem> {
		
		IProblemFactory<P> factory;
		IProblemSolver<P> solver;
		
		ProblemAnswerer(IProblemFactory<P> factory, IProblemSolver<P> solver) {
			this.factory = factory;
			this.solver = solver;
		}
		
		void answer() throws IOException {
			ProblemReader reader = null;
			try {
				reader = new ProblemReader();
				P problem = factory.newProblem(reader);
				String res = solver.solve(problem);
				System.out.println(res);
			} finally {
				if (reader != null) {
					reader.close();
				}
			}
		}
	}
	
	class ProblemProcessorConfig<P extends IProblem> {
		
		IProblemFactory<P> factory;
		
		IProblemSolver<P> solver, solver2;
		
		IResultComparator comparator;
	}
	
	class ProblemProcessor<P extends IProblem> {
		
		ProblemProcessorConfig<P> config;
		
		ProblemCreator<P> creator;
		ProblemSolverComparator<P> comparator;
		ProblemAnswerer<P> answerer;
		
		ProblemProcessor(ProblemProcessorConfig<P> config) {
			this.config = config;
			creator = new ProblemCreator<P>(config.factory);
			comparator = new ProblemSolverComparator<P>(config.factory, config.solver, config.solver2, config.comparator);
			answerer = new ProblemAnswerer<P>(config.factory, config.solver);
		}
		
		void process(String mode) throws IOException {
			switch (mode) {
			case "create":
				creator.create();
				break;
			case "debug":
				comparator.compare();
				break;
			case "solve":
				answerer.answer();
				break;
			}
		}
	}
	
	static class StringUtils {
		
		static String toString(int a) {
			return String.valueOf(a);
		}
		
		static String toString(long a) {
			return String.valueOf(a);
		}
		
		static String toString(double a) {
			return String.valueOf(a);
		}
		
		static String toString(String str) {
			return str;
		}
		
		static String toString(int[] a, String delimiter) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + delimiter);
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(long[] a, String delimiter) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + delimiter);
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(double[] a, String delimiter) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + delimiter);
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(String[] strs, String delimiter) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < strs.length; i++) {
				if (i < strs.length - 1) {
					sb.append(strs[i] + delimiter);
				} else {
					sb.append(strs[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(int[][] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				for (int j = 0; j < a[i].length; j++) {
					if (j < a[i].length - 1) {
						sb.append(a[i][j] + " ");
					} else {
						sb.append(a[i][j]);
					}
				}
				sb.append("\n");
			}
			sb.setLength(sb.length() - 1);
			return sb.toString();
		}
		
		static String toString(long[][] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				for (int j = 0; j < a[i].length; j++) {
					if (j < a[i].length - 1) {
						sb.append(a[i][j] + " ");
					} else {
						sb.append(a[i][j]);
					}
				}
				sb.append("\n");
			}
			sb.setLength(sb.length() - 1);
			return sb.toString();
		}
		
		static String toString(double[][] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				for (int j = 0; j < a[i].length; j++) {
					if (j < a[i].length - 1) {
						sb.append(a[i][j] + " ");
					} else {
						sb.append(a[i][j]);
					}
				}
				sb.append("\n");
			}
			sb.setLength(sb.length() - 1);
			return sb.toString();
		}
		
		static String toString(String[][] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				for (int j = 0; j < a[i].length; j++) {
					if (j < a[i].length - 1) {
						sb.append(a[i][j] + " ");
					} else {
						sb.append(a[i][j]);
					}
				}
				sb.append("\n");
			}
			sb.setLength(sb.length() - 1);
			return sb.toString();
		}
		
		static int toInt(String s) {
			return Integer.parseInt(s);
		}
		
		static long toLong(String s) {
			return Long.parseLong(s);
		}
		
		static double toDouble(String s) {
			return Double.parseDouble(s);
		}
		
		static int[] toIntArray(String s) {
			String[] tokens = s.split(" ");
			int[] a = new int[tokens.length];
			for (int i = 0; i < tokens.length; i++) {
				a[i] = Integer.parseInt(tokens[i]);
			}
			return a;
		}
		
		static long[] toLongArray(String s) {
			String[] tokens = s.split(" ");
			long[] a = new long[tokens.length];
			for (int i = 0; i < tokens.length; i++) {
				a[i] = Long.parseLong(tokens[i]);
			}
			return a;
		}
		
		static double[] toDoubleArray(String s) {
			String[] tokens = s.split(" ");
			double[] a = new double[tokens.length];
			for (int i = 0; i < tokens.length; i++) {
				a[i] = Double.parseDouble(tokens[i]);
			}
			return a;
		}
		
		static String[] toStringArray(String s) {
			return s.split(" ");
		}
	}
}