سير العمل البرمجي · دمج التطابقات ذات المقامات الأولية فيما بينها

import math

def merge_congruences(pairs):
    if type(pairs) is not list or len(pairs) > 8:
        raise ValueError("crt.input")
    answer, period = 0, 1
    for pair in pairs:
        if type(pair) not in (list, tuple) or len(pair) != 2 or any(type(x) is not int for x in pair):
            raise ValueError("crt.pair")
        residue, modulus = pair
        if abs(residue) > 10**9 or not 2 <= modulus <= 10**6 or math.gcd(period, modulus) != 1:
            raise ValueError("crt.modulus")
        step = ((residue-answer)*pow(period, -1, modulus)) % modulus
        answer += period*step
        period *= modulus
        answer %= period
    return answer, period