結果

問題 No.1200 お菓子配り-3
ユーザー hiromi_ayasehiromi_ayase
提出日時 2020-08-29 16:08:25
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,966 ms / 4,000 ms
コード長 5,907 bytes
コンパイル時間 2,463 ms
コンパイル使用メモリ 83,168 KB
実行使用メモリ 59,192 KB
最終ジャッジ日時 2024-11-20 22:58:56
合計ジャッジ時間 18,024 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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 99 ms
41,132 KB
testcase_01 AC 98 ms
41,480 KB
testcase_02 AC 117 ms
42,408 KB
testcase_03 AC 97 ms
42,236 KB
testcase_04 AC 104 ms
42,448 KB
testcase_05 AC 120 ms
42,712 KB
testcase_06 AC 116 ms
42,552 KB
testcase_07 AC 129 ms
45,144 KB
testcase_08 AC 131 ms
45,204 KB
testcase_09 AC 130 ms
45,644 KB
testcase_10 AC 129 ms
45,364 KB
testcase_11 AC 137 ms
45,344 KB
testcase_12 AC 252 ms
46,460 KB
testcase_13 AC 247 ms
46,472 KB
testcase_14 AC 272 ms
47,832 KB
testcase_15 AC 236 ms
47,424 KB
testcase_16 AC 227 ms
46,368 KB
testcase_17 AC 438 ms
47,772 KB
testcase_18 AC 599 ms
54,596 KB
testcase_19 AC 289 ms
48,548 KB
testcase_20 AC 925 ms
57,760 KB
testcase_21 AC 745 ms
47,936 KB
testcase_22 AC 895 ms
47,676 KB
testcase_23 AC 807 ms
51,968 KB
testcase_24 AC 784 ms
47,924 KB
testcase_25 AC 776 ms
47,992 KB
testcase_26 AC 792 ms
51,992 KB
testcase_27 AC 97 ms
40,956 KB
testcase_28 AC 646 ms
59,192 KB
testcase_29 AC 1,966 ms
53,852 KB
testcase_30 AC 1,914 ms
54,436 KB
testcase_31 AC 97 ms
41,040 KB
testcase_32 AC 97 ms
41,124 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.Arrays;

public class Main {

  private static void solve() {
    int s = ni();
    int[] primes = sieveEratosthenes(1000000);

    for (int i = 0; i < s; i++) {
      int x = ni();
      int y = ni();

      if (x < y) {
        int tmp = x;
        x = y;
        y = tmp;
      }
      // x >= y

      // ab + c = x
      // ac + b = y
      // (a+1)(b+c) = x+y=p
      // (a-1)(b-c) = x-y=q
      // b+c = (x+y)/(a+1)
      // b-c = (x-y)/(a-1)

      int p = x + y;
      int q = x - y;

      int ret = 0;
      for (int v1 : divisors(p, primes)) {
        if (q == 0) {
          if (p / v1 % 2 == 0) {
            // b=c
            int a = v1 - 1;
            int b = (p / v1) / 2;
            if (a > 0 && b > 0) {
              ret++;
            }
          }
          if (v1 == 2) {
            // a = 1
            // b + c = p / 2
            int bc = p / v1;
            ret += bc - 1;

            if (bc % 2 == 0) {
              ret--;
            }
          }
        } else {
          for (int v2 : divisors(q, primes)) {
            if (v1 - 1 == v2 + 1 && p / v1 % 2 == q / v2 % 2) {

              int a = v1 - 1;
              int b = ((p / v1) + (q / v2)) / 2;
              int c = ((p / v1) - (q / v2)) / 2;

              if (a > 0 && b > 0 && c > 0) {
                ret++;
              }
            }
          }
        }
      }
      out.println(ret);

    }
  }

  public static int[] divisors(int n, int[] primes) {
    int[] div = new int[1600];
    div[0] = 1;
    int r = 1;

    for (int p : primes) {
      if (p * p > n)
        break;
      int i;
      for (i = 0; n % p == 0; n /= p, i++)
        ;
      if (i > 0) {
        for (int j = r - 1; j >= 0; j--) {
          int base = div[j];
          for (int k = 0; k < i; k++) {
            base *= p;
            div[r++] = base;
          }
        }
      }
    }
    if (n != 1) {
      for (int j = r - 1; j >= 0; j--) {
        div[r++] = div[j] * n;
      }
    }
    return Arrays.copyOf(div, r);
  }

  public static int[] sieveEratosthenes(int n) {
    if (n <= 32) {
      int[] primes = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 };
      for (int i = 0; i < primes.length; i++) {
        if (n < primes[i]) {
          return Arrays.copyOf(primes, i);
        }
      }
      return primes;
    }

    int u = n + 32;
    double lu = Math.log(u);
    int[] ret = new int[(int) (u / lu + u / lu / lu * 1.5)];
    ret[0] = 2;
    int pos = 1;

    int[] isnp = new int[(n + 1) / 32 / 2 + 1];
    int sup = (n + 1) / 32 / 2 + 1;

    int[] tprimes = { 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 };
    for (int tp : tprimes) {
      ret[pos++] = tp;
      int[] ptn = new int[tp];
      for (int i = (tp - 3) / 2; i < tp << 5; i += tp)
        ptn[i >> 5] |= 1 << i;
      for (int j = 0; j < sup; j += tp) {
        for (int i = 0; i < tp && i + j < sup; i++) {
          isnp[j + i] |= ptn[i];
        }
      }
    }

    // 3,5,7
    // 2x+3=n
    int[] magic = { 0, 1, 23, 2, 29, 24, 19, 3, 30, 27, 25, 11, 20, 8, 4, 13, 31, 22, 28, 18, 26, 10, 7, 12, 21, 17, 9,
        6, 16, 5, 15, 14 };
    int h = n / 2;
    for (int i = 0; i < sup; i++) {
      for (int j = ~isnp[i]; j != 0; j &= j - 1) {
        int pp = i << 5 | magic[(j & -j) * 0x076be629 >>> 27];
        int p = 2 * pp + 3;
        if (p > n)
          break;
        ret[pos++] = p;
        if ((long) p * p > n)
          continue;
        for (int q = (p * p - 3) / 2; q <= h; q += p)
          isnp[q >> 5] |= 1 << q;
      }
    }

    return Arrays.copyOf(ret, pos);
  }

  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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