結果

問題 No.1117 数列分割
ユーザー hiromi_ayasehiromi_ayase
提出日時 2020-07-21 04:28:28
言語 Java21
(openjdk 21)
結果
AC  
実行時間 563 ms / 3,000 ms
コード長 3,772 bytes
コンパイル時間 2,541 ms
コンパイル使用メモリ 90,340 KB
実行使用メモリ 157,940 KB
最終ジャッジ日時 2024-06-07 14:57:59
合計ジャッジ時間 12,949 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
(要ログイン)

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 70 ms
38,476 KB
testcase_01 AC 68 ms
38,464 KB
testcase_02 AC 70 ms
37,992 KB
testcase_03 AC 190 ms
51,856 KB
testcase_04 AC 200 ms
51,380 KB
testcase_05 AC 72 ms
37,992 KB
testcase_06 AC 84 ms
39,056 KB
testcase_07 AC 84 ms
39,056 KB
testcase_08 AC 203 ms
50,800 KB
testcase_09 AC 181 ms
47,528 KB
testcase_10 AC 222 ms
51,088 KB
testcase_11 AC 355 ms
73,992 KB
testcase_12 AC 333 ms
75,916 KB
testcase_13 AC 332 ms
89,296 KB
testcase_14 AC 421 ms
91,460 KB
testcase_15 AC 392 ms
97,484 KB
testcase_16 AC 473 ms
102,660 KB
testcase_17 AC 252 ms
50,804 KB
testcase_18 AC 554 ms
157,940 KB
testcase_19 AC 558 ms
157,896 KB
testcase_20 AC 430 ms
96,448 KB
testcase_21 AC 553 ms
157,660 KB
testcase_22 AC 536 ms
156,632 KB
testcase_23 AC 559 ms
156,992 KB
testcase_24 AC 557 ms
155,836 KB
testcase_25 AC 563 ms
156,164 KB
testcase_26 AC 74 ms
37,944 KB
testcase_27 AC 188 ms
48,268 KB
testcase_28 AC 240 ms
49,352 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 #

import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.Deque;

public class Main {

  private static void solve() {
    int n = ni();
    int k = ni();
    int m = ni();

    long[] a = nal(n);

    long[][] dp = new long[n + 1][k + 1];
    for (long[] v : dp)
      Arrays.fill(v, Long.MIN_VALUE / 2);
    dp[0][0] = 0;

    long[] sum = new long[n + 1];
    for (int i = 0; i < n; i++) {
      sum[i + 1] = sum[i] + a[i];
    }

    Deque<long[]> q1 = new ArrayDeque<>();
    Deque<long[]> q2 = new ArrayDeque<>();
    for (int j = 1; j <= k; j++) {
      q1.clear();
      q2.clear();
      for (int i = 1; i <= n; i++) {
        if (n - i < k - j)
          break;

        long v1 = dp[i - 1][j - 1] - sum[i - 1];
        long v2 = dp[i - 1][j - 1] + sum[i - 1];

        long[] e1 = { v1, i };
        long[] e2 = { v2, i };

        while (q1.size() > 0 && q1.peekLast()[0] <= e1[0]) {
          q1.pollLast();
        }
        while (q2.size() > 0 && q2.peekLast()[0] <= e2[0]) {
          q2.pollLast();
        }
        q1.addLast(e1);
        q2.addLast(e2);
        if (q1.peekFirst()[1] == i - m) {
          q1.pollFirst();
        }
        if (q2.peekFirst()[1] == i - m) {
          q2.pollFirst();
        }

        dp[i][j] = Math.max(dp[i][j], q1.peekFirst()[0] + sum[i]);
        dp[i][j] = Math.max(dp[i][j], q2.peekFirst()[0] - sum[i]);
      }
    }
    System.out.println(dp[n][k]);

  }

  public static void main(String[] args) {
    new Thread(null, new Runnable() {
      @Override
      public void run() {
        long start = System.currentTimeMillis();
        String debug = args.length > 0 ? args[0] : null;
        if (debug != null) {
          try {
            is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
          } catch (Exception e) {
            throw new RuntimeException(e);
          }
        }
        reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
        solve();
        out.flush();
        tr((System.currentTimeMillis() - start) + "ms");
      }
    }, "", 64000000).start();
  }

  private static java.io.InputStream is = System.in;
  private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
  private static java.util.StringTokenizer tokenizer = null;
  private static java.io.BufferedReader reader;

  public static String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }

  private static double nd() {
    return Double.parseDouble(next());
  }

  private static long nl() {
    return Long.parseLong(next());
  }

  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }

  private static char[] ns() {
    return next().toCharArray();
  }

  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++)
      a[i] = nl();
    return a;
  }

  private static int[][] ntable(int n, int m) {
    int[][] table = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[i][j] = ni();
      }
    }
    return table;
  }

  private static int[][] nlist(int n, int m) {
    int[][] table = new int[m][n];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[j][i] = ni();
      }
    }
    return table;
  }

  private static int ni() {
    return Integer.parseInt(next());
  }

  private static void tr(Object... o) {
    if (is != System.in)
      System.out.println(java.util.Arrays.deepToString(o));
  }
}
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