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factorial

Language/Type: PHP recursion

Write a recursive function named factorial that accepts an integer $n as a parameter and returns !$n, the factorial of $n.

A factorial of an integer is defined as the product of all integers from 1 through that integer inclusive. For example, the call of factorial(4) should return 1 * 2 * 3 * 4, or 24. The factorial of 0 and 1 are defined to be 1.

If passed a negative value, your function should throw an Exception. You may assume that the value passed is non-negative and that its factorial can fit in the range of type Integer.

Constraints:

  • Do not declare any global variables.
  • Do not use any loops; you must use recursion.
  • Do not use any auxiliary data structures (e.g. arrays) or strings to solve this problem.
Function: Write a PHP function as described, not a complete program.

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