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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.
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.
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.
Run grade-school multiplication on the array repeatedly, in order to calculate the factorial. Sum the digits. Doing the repeated multiplications is the only potentially slow step, but I feel certain that 1000 of the multiplications could be done in a second, which is the worst case.
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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; } }; def, ->. Previous. 1005. Maximize Sum Of Array After K Negations. Next.
Factorial Trailing Zeroes - Given an integer n, return the number of trailing zeroes in n!. Note that n! = n * (n - 1) * (n - 2) * ... * 3 * 2 * 1. Example 1: Input: n = 3 Output: 0 Explanation: 3! = 6, no trailing zero.
