gpt4_solution.py

import json
import time

# START - CODE GENERATED BY gpt4
def solution():
    # Generate the sequence for e's continued fraction
    e_sequence = [2]
    k = 1
    while len(e_sequence) < 100:
        e_sequence.extend([1, 2 * k, 1])
        k += 1

    # Initialize the first two convergents
    num1, num2 = 1, e_sequence[0]
    den1, den2 = 0, 1

    # Calculate the 100th convergent
    for i in range(1, 100):
        a = e_sequence[i]
        num1, num2 = num2, a * num2 + num1
        den1, den2 = den2, a * den2 + den1

    # Sum the digits of the numerator of the 100th convergent
    return sum(int(digit) for digit in str(num2))
# END - CODE GENERATED BY gpt4

cpu_s, wall_s = time.process_time(), time.time()
result = solution()
cpu_e, wall_e = time.process_time(), time.time()

cpu_time, wall_time = cpu_e - cpu_s, wall_e - wall_s
print(json.dumps({"solution": result, "cpu": cpu_time, "wall": wall_time}))