Problem:
Score : 300 points

Problem Statement

You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?

Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:

When the number is written in base ten, each of the digits 7, 5 and 3 appears at least once, and the other digits never appear.

Constraints

1 \leq N < 10^9

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).

Sample Input 1

575

Sample Output 1

4

There are four Shichi-Go-San numbers not greater than 575: 357, 375, 537 and 573.

Sample Input 2

3600

Sample Output 2

13

There are 13 Shichi-Go-San numbers not greater than 3600: the above four numbers, 735, 753, 3357, 3375, 3537, 3557, 3573, 3575 and 3577.

Sample Input 3

999999999

Sample Output 3

26484

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner scanner = new Scanner(System.in);

    int[] primes =
        new int[] {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73,
            79, 83, 89, 97};
    int[] countPrimes = new int[25];
    int N = scanner.nextInt();

    for (int i = 2; i <= N; i++) {
      int n = i;
      for (int j = 24; j >= 0; j--) {
        int p = primes[j];
        while (n >= p && n % p == 0) {
          countPrimes[j]++;
          n /= p;
        }
      }
    }

    int over4 = 0;
    int over2 = 0;
    int over3 = 0;
    int over14 = 0;
    int over24 = 0;
    int over74 = 0;
    for (int i = 0; i < 25; i++) {
      int c = countPrimes[i];

      if (c >= 2) over2++;
      if (c >= 3) over3++;
      if (c >= 4) over4++;
      if (c >= 14) over14++;
      if (c >= 24) over24++;
      if (c >= 74) over74++;
    }

    System.out.println(
        over74
        + over24 * (over3 > 0 ? over3 - 1 : 0)
        + over14 * (over4 > 0 ? over4 - 1 : 0)
        + over4 * (over4 > 0 ? over4 - 1 : 0) * (over2 > 0 ? over2 - 2 : 0) / 2
    );
  }
}