Class Solution

  • All Implemented Interfaces:

    
    public final class Solution
    
                        

    1006 - Clumsy Factorial.

    Medium

    The factorial of a positive integer n is the product of all positive integers less than or equal to n.

    • For example, factorial(10) = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1.

    We make a clumsy factorial using the integers in decreasing order by swapping out the multiply operations for a fixed rotation of operations with multiply '*', divide '/', add '+', and subtract '-' in this order.

    • For example, clumsy(10) = 10 * 9 / 8 + 7 - 6 * 5 / 4 + 3 - 2 * 1.

    However, these operations are still applied using the usual order of operations of arithmetic. We do all multiplication and division steps before any addition or subtraction steps, and multiplication and division steps are processed left to right.

    Additionally, the division that we use is floor division such that 10 * 9 / 8 = 90 / 8 = 11.

    Given an integer n, return the clumsy factorial of n.

    Example 1:

    Input: n = 4

    Output: 7

    Explanation: 7 = 4 \* 3 / 2 + 1

    Example 2:

    Input: n = 10

    Output: 12

    Explanation: 12 = 10 \* 9 / 8 + 7 - 6 \* 5 / 4 + 3 - 2 \* 1

    Constraints:

    • <code>1 <= n <= 10<sup>4</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description
    • Field Summary

      Fields 
      Modifier and Type Field Description
    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()
    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final Integer clumsy(Integer n)
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait