#74990 (Java21) No.42 貯金箱の溜息

• 問題: No.42 貯金箱の溜息
• ユーザー: atn112323
• 提出日時: 2016-02-09 17:46:01
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 270 ms / 5,000 ms
• コード長: 12,523 bytes
• コンパイル時間: 2,581 ms
• コンパイル使用メモリ: 82,416 KB
• 実行使用メモリ: 45,512 KB
• 最終ジャッジ日時: 2024-09-21 22:00:26
• 合計ジャッジ時間: 4,133 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	255 ms; 45,512 KB
testcase_01	AC	270 ms; 44,604 KB
testcase_02	AC	269 ms; 44,764 KB

ソースコード

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

public class Main {

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

		int T;
		long[] M;
		
		@Override
		public void set(ProblemReader reader) throws IOException {
			T = reader.nextInt();
			M = reader.nextLongArray(T);
		}
		
		@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> {

		long MOD = 1000000009;
		int MAX = 5000;
		int[] COINS = new int[]{1, 5, 10, 50, 100, 500};
		
		@Override
		public String solve(Problem problem) {
			int T = problem.T;
			long[] M = problem.M;
			long[] res = solve(T, M);
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < T; i++) {
				sb.append(res[i] + "\n");
			}
			sb.setLength(sb.length() - 1);
			return sb.toString();
		}
		
		private long[] solve(int T, long[] M) {
			long[] dp = new long[MAX + 1];
			dp[0] = 1;
			for (int i = 0; i < COINS.length; i++) {
				for (int j = COINS[i]; j <= MAX; j++) {
					dp[j] = (dp[j] + dp[j - COINS[i]]) % MOD;
				}
			}
			long[] res = new long[T];
			for (int i = 0; i < T; i++) {
				long q = M[i] / COINS[COINS.length - 1];
				long r = M[i] % COINS[COINS.length - 1];
				for (int j = 0; j < COINS.length; j++) {
					long term = 1;
					for (int k = 0; k < COINS.length; k++) {
						if (k != j) {
							term = (term * ((q - k + MOD) % MOD)) % MOD;
						}
					}
					for (int k = 0; k < COINS.length; k++) {
						if (k != j) {
							term = (term * modInverse((j - k + MOD) % MOD, MOD)) % MOD;
						}
					}
					res[i] = (res[i] + (term * dp[(int)(j * COINS[COINS.length - 1] + r)]) % MOD) % MOD;
				}
			}
			return res;
		}
		
		long modInverse(long a, long mod) {
			long[] xy = new long[2];
			extgcd(a, mod, xy);
			return (mod + xy[0]) % mod;
		}
		
		long extgcd(long a, long b, long[] xy) {
			long d = b;
			if (a == 0) {
				xy[0] = 0;
				xy[1] = 1;
			} else {
				d = extgcd(b % a, a, xy);
				long tmp = xy[0];
				xy[0] = xy[1] - (b / a) * xy[0];
				xy[1] = tmp;
			}
			return d;
		}
	}
	
	/**
	 * 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;
		}
	}
	
	ProblemProcessor<Problem> processor;
	
	Main() {
		Init();
	}
	
	void Init() {
		ProblemProcessorConfig<Problem> config = new ProblemProcessorConfig<>();
		
		config.factory = new Factory();
		config.solver = new Solver();
		config.solver2 = new Solver2();
		
		processor = new ProblemProcessor<Problem>(config);
	}
	
	void process(String mode) throws IOException {
		processor.process(mode);
	}
	
	public static void main(String args[]) throws IOException {
		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);
	}
	
	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;
		
		ProblemSolverComparator(IProblemFactory<P> factory, IProblemSolver<P> solver1, IProblemSolver<P> solver2) {
			this.factory = factory;
			this.solver1 = solver1;
			this.solver2 = solver2;
		}
		
		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 (res1.equals(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;
	}
	
	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);
			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) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + " ");
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(long[] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + " ");
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(double[] a) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < a.length; i++) {
				if (i < a.length - 1) {
					sb.append(a[i] + " ");
				} else {
					sb.append(a[i]);
				}
			}
			return sb.toString();
		}
		
		static String toString(String[] strs) {
			StringBuilder sb = new StringBuilder();
			for (int i = 0; i < strs.length; i++) {
				if (i < strs.length - 1) {
					sb.append(strs[i] + " ");
				} 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) throws IOException {
			return Integer.parseInt(s);
		}
		
		static long toLong(String s) throws IOException {
			return Long.parseLong(s);
		}
		
		static double toDouble(String s) throws IOException {
			return Double.parseDouble(s);
		}
		
		static int[] toIntArray(String s) throws IOException {
			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) throws IOException {
			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) throws IOException {
			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) throws IOException {
			return s.split(" ");
		}
	}
}