結果

問題 No.390 最長の数列
ユーザー hiromi_ayase
提出日時 2016-07-08 23:11:08
言語 Java8
(openjdk 1.8.0.222)
結果
AC  
実行時間 185 ms
コード長 4,084 Byte
コンパイル時間 1,783 ms
使用メモリ 24,596 KB
最終ジャッジ日時 2019-09-28 16:24:56

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
00_sample01.txt AC 86 ms
23,104 KB
00_sample02.txt AC 84 ms
23,108 KB
00_sample03.txt AC 87 ms
23,104 KB
00_sample04.txt AC 85 ms
23,108 KB
10_hand01.txt AC 85 ms
23,104 KB
20_KO_biginput.txt AC 142 ms
24,504 KB
21_KO_complex.txt AC 185 ms
24,056 KB
30_hand02.txt AC 88 ms
23,108 KB
30_hand03.txt AC 87 ms
23,104 KB
30_hand04.txt AC 115 ms
23,296 KB
40_random01.txt AC 158 ms
24,596 KB
40_random02.txt AC 156 ms
24,588 KB
40_random03.txt AC 151 ms
24,568 KB
50_special01.txt AC 147 ms
23,968 KB
50_special02.txt AC 151 ms
24,504 KB
99_system_test1.txt AC 86 ms
23,104 KB
system_test1.txt AC 87 ms
23,124 KB
system_test2.txt AC 105 ms
23,252 KB
system_test3.txt AC 120 ms
24,068 KB
テストケース一括ダウンロード

ソースコード

diff #
import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.NoSuchElementException;

public class Main {
	public static void main(String[] args) {
		FastScanner sc = new FastScanner();
		int N = sc.nextInt();
		int[] a = sc.nextIntList(N);

		int[] dp = new int[1000001];
		Arrays.sort(a);

		for (int i = 0; i < N; i++) {
			dp[a[i]] = Math.max(dp[a[i]], 1);
			for (int k = 2; k * a[i] <= a[N - 1]; k++) {
				dp[a[i] * k] = Math.max(dp[a[i] * k], dp[a[i]] + 1);
			}
		}

		int max = 0;
		for (int i = 0; i < N; i++) {
			max = Math.max(dp[a[i]], max);
		}
		System.out.println(max);
	}

	public static List<Long> allFactors(long n) {
		if (n == 1) {
			return new ArrayList<Long>(Arrays.asList(1L));
		}
		long logN = (long) Math.sqrt(n) + 1;
		List<long[]> factors = new ArrayList<>();

		for (int i = 2; i < logN; i++) {
			if (n % i == 0) {
				long[] elem = new long[] { i, 0 };
				while (n % i == 0) {
					elem[1]++;
					n /= i;
				}
				factors.add(elem);
			}
		}
		if (n != 1) {
			factors.add(new long[] { n, 1 });
		}

		int[] count = new int[factors.size()];
		int factorsSize = factors.size();

		List<Long> list = new ArrayList<>();
		loop: while (true) {
			long x = 1;
			for (int i = 0; i < factorsSize; i++) {
				long[] v = factors.get(i);
				for (int j = 0; j < count[i]; j++) {
					x *= v[0];
				}
			}
			list.add(x);

			int idx = 0;
			while (count[idx] == factors.get(idx)[1]) {
				count[idx] = 0;
				idx++;
				if (idx == factorsSize) {
					break loop;
				}
			}
			count[idx]++;
		}
		return list;
	}
}

class FastScanner {
	public static String debug = null;

	private final InputStream in = System.in;
	private int ptr = 0;
	private int buflen = 0;
	private byte[] buffer = new byte[1024];
	private boolean eos = false;

	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		} else {
			ptr = 0;
			try {
				if (debug != null) {
					buflen = debug.length();
					buffer = debug.getBytes();
					debug = "";
					eos = true;
				} else {
					buflen = in.read(buffer);
				}
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen < 0) {
				eos = true;
				return false;
			} else if (buflen == 0) {
				return false;
			}
		}
		return true;
	}

	private int readByte() {
		if (hasNextByte())
			return buffer[ptr++];
		else
			return -1;
	}

	private static boolean isPrintableChar(int c) {
		return 33 <= c && c <= 126;
	}

	private void skipUnprintable() {
		while (hasNextByte() && !isPrintableChar(buffer[ptr]))
			ptr++;
	}

	public boolean isEOS() {
		return this.eos;
	}

	public boolean hasNext() {
		skipUnprintable();
		return hasNextByte();
	}

	public String next() {
		if (!hasNext())
			throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while (isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public long nextLong() {
		if (!hasNext())
			throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while (true) {
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			} else if (b == -1 || !isPrintableChar(b)) {
				return minus ? -n : n;
			} else {
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}

	public int nextInt() {
		return (int) nextLong();
	}

	public long[] nextLongList(int n) {
		return nextLongTable(1, n)[0];
	}

	public int[] nextIntList(int n) {
		return nextIntTable(1, n)[0];
	}

	public long[][] nextLongTable(int n, int m) {
		long[][] ret = new long[n][m];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				ret[i][j] = nextLong();
			}
		}
		return ret;
	}

	public int[][] nextIntTable(int n, int m) {
		int[][] ret = new int[n][m];
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				ret[i][j] = nextInt();
			}
		}
		return ret;
	}
}
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