divmod() in Python and its application
The divmod() method in python takes two numbers and returns a pair of numbers consisting of their quotient and remainder.
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divmod(x, y) x and y : x is numerator and y is denominator x and y must be non complex
Input : x = 9, y = 3 Output :(3, 0) Input : x = 8, y = 3 Output :(2, 2)
Explanation: The divmod() method takes two parameters x and y, where x is treated as numerator and y is treated as the denominator. The method calculates both x // y and x % y and returns both the values.
- If x and y are integers, the return value is
(x // y, x % y)
- If x or y is a float, the result is
(q, x % y), where q is the whole part of the quotient.
(5, 4) = (1, 1) (10, 16) = (0, 10) (11, 11) = (1, 0) (15, 13) = (1, 2) (6.0, 5) = (2.0, 2.0) (3, 9.0) = (0.0, 3.0) (13.5, 6.2) = (3.0, 0.0) (1.6, 10.7) = (5.0, 0.10000000000000009)
Errors And Exceptions
- If either of the arguments (say x and y), is a float, the result is (q, x%y). Here, q is the whole part of the quotient.
- If the second argument is 0, it returns Zero Division Error
- If the first argument is 0, it returns (0, 0)
Practical Application: Check if a number is prime or not using divmod() function.
Input : n = 7 Output :Prime Input : n = 15 Output :Not Prime
- Initialise a new variable, say x with the given integer and a variable counter to 0
- Run a loop till the given integer becomes 0 and keep decrementing it.
- Save the value returned by divmod(n, x) in two variables, say p and q
- Check if q is 0, this will imply that n is perfectly divisible by x, and hence increment the counter value
- Check if the counter value is greater than 2, if yes, the number is not prime, else it is prime