mdnestor

import numpy as np
import pygame
from scipy.ndimage import convolve

def game_of_life(state):
    kernel = np.array([[2,2,2],[2,1,2],[2,2,2]])
    activation = np.vectorize(lambda x: int(5 <= x <= 7))
    return activation(convolve(state, kernel, mode='wrap'))

pygame.init()

mdnestor

# Algorithm Minecraft uses to convert world seeds to integers
# Shows why `creashaks organzine` yields seed 0, whereas by design manually inputting seed 0 uses random seed.

def seed(x: str) -> int:
  if isinstance(x, int):
    return x
  s = 0
  for c in x:
    s = ((31*s + ord(c)) ^ 0x80000000) & 0xFFFFFFFF - 0x80000000
  return s

mdnestor

# Diffe-Hellman key exchange
# https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange

import math

def least_prime_factor(n: int) -> int:
  assert(n > 1)
  for d in range(2, int(n**(1/2))):
    if n % d == 0:
      return d