Integer Square Root
Implement integer_sqrt(n) that returns the largest integer whose square is ≤ n.
Zeller Congruence Weekday
Implement a function that returns the weekday name for a given date using Zeller's congruence.
Dot Product of Vectors
Implement a function that returns the dot product of two numeric vectors.
Modular Inverse
Implement a function that returns the modular inverse of a modulo m, or -1 if it does not exist.
Chinese Remainder Theorem
Solve a system of congruences with pairwise coprime moduli using the Chinese Remainder Theorem.
Extended Euclidean Algorithm
Implement the extended Euclidean algorithm to return (gcd, x, y) such that ax + by = gcd(a, b).
Deficient Number Check
Write is_deficient(n) that returns True if the sum of proper divisors is less than n.
Kaprekar number check
Check whether a given non-negative integer is a Kaprekar number in base 10.
Polynomial Fit Coefficients
Implement a function that returns the coefficients of the best-fit quadratic polynomial for given points.
Stars and Bars Count
Implement stars_and_bars_count(n, k) which returns the number of ways to put n identical items into k distinct bins, with bins allowed to be empty.
Multinomial coefficient
Write a function to compute the multinomial coefficient efficiently for given nonnegative counts.
Correlation Coefficient
Write a pure-Python function that computes the Pearson correlation coefficient between two lists of numbers.
Z score normalization
Compute the z-scores for a list of numbers using the population standard deviation.
Binomial Coefficient
Implement a function to compute binomial coefficients modulo 10^9+7 for n up to 10^5.
Showing 25–38 of 38 challenges · Math & Number Theory
Math & Number Theory — Python coding challenges
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