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4 paź 2024 · Problem: One day Anindya was experimenting with factorials. Anindya wanted to express $10!$ as the sum of factorial of some numbers in such a way that each number used is less than $10$. The factorial of the same number can be used more than once.
Clumsy Factorial - 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.
For example, factorial(10) = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1. We instead make a clumsy factorial: using the integers in decreasing order, we swap out the multiply operations for a fixed rotation of operations: multiply (*), divide (/), add (+) and subtract (-) in this order.
class Solution { public: int clumsy(int n) { if (n == 1) return 1; if (n == 2) return 2; if (n == 3) return 6; if (n == 4) return 7; if (n % 4 == 1) return n + 2; if (n % 4 == 2) return n + 2; if (n % 4 == 3) return n - 1; return n + 1; } }; LeetCode Solutions in C++20, Java, Python, MySQL, and TypeScript.
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