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  2. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Yao's method collects in u first those x i that appear to the highest power ⁠ ⁠; in the next round those with power ⁠ ⁠ are collected in u as well etc. The variable y is multiplied ⁠ h − 1 {\displaystyle h-1} ⁠ times with the initial u , ⁠ h − 2 {\displaystyle h-2} ⁠ times with the next highest powers, and so on.

  3. HackerRank - Wikipedia

    en.wikipedia.org/wiki/HackerRank

    HackerRank's programming challenges can be solved in a variety of programming languages (including Java, C++, PHP, Python, SQL, and JavaScript) and span multiple computer science domains. [ 2 ] HackerRank categorizes most of their programming challenges into a number of core computer science domains, [ 3 ] including database management ...

  4. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m .

  5. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The binary number system expresses any number as a sum of powers of 2, and denotes it as a sequence of 0 and 1, separated by a binary point, where 1 indicates a power of 2 that appears in the sum; the exponent is determined by the place of this 1: the nonnegative exponents are the rank of the 1 on the left of the point (starting from 0), and ...

  6. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    decomposes a number into significand and a power of 2 ldexp: multiplies a number by 2 raised to a power modf: decomposes a number into integer and fractional parts scalbn scalbln: multiplies a number by FLT_RADIX raised to a power nextafter nexttoward: returns next representable floating-point value towards the given value copysign

  7. Primality test - Wikipedia

    en.wikipedia.org/wiki/Primality_test

    The first deterministic primality test significantly faster than the naive methods was the cyclotomy test; its runtime can be proven to be O((log n) c log log log n), where n is the number to test for primality and c is a constant independent of n. A number of further improvements were made, but none could be proven to have polynomial running ...

  8. Hamming weight - Wikipedia

    en.wikipedia.org/wiki/Hamming_weight

    In Python, the int type has a bit_count() method to count the number of bits set. This functionality was introduced in Python 3.10, released in October 2021. [17] In Common Lisp, the function logcount, given a non-negative integer, returns the number of 1 bits. (For negative integers it returns the number of 0 bits in 2's complement notation.)

  9. Change-making problem - Wikipedia

    en.wikipedia.org/wiki/Change-making_problem

    The following is a dynamic programming implementation (with Python 3) which uses a matrix to keep track of the optimal solutions to sub-problems, and returns the minimum number of coins, or "Infinity" if there is no way to make change with the coins given. A second matrix may be used to obtain the set of coins for the optimal solution.