Найти в этой последовательности такие пары элементов, у которых сумма цифр пятеричной записи...

def five(num):
    res = ''
    while num > 0:
        res = str(num % 5) + res
        num //= 5
 
    return int(res)
 
 
def sum_nums(num):
    s = 0
    while num:
        s += num % 10
        num = num // 10
    return s
 
 
def mul_nums(num):
    s = 1
    while num:
        s *= num % 10
        num = num // 10
    return s
 
 
with open('17.txt', 'r', encoding='utf-8') as f:
    arr = [int(x) for x in f.read().split('\n')]
 
mi = float('inf')
for el in arr:
    if el < mi and len(str(mul_nums(el))) == 3:
        mi = el
 
s_mi = sum_nums(mi)
count = 0
pair = None
for i in range(len(arr) - 1):
    n1 = five(arr[i])
    n2 = five(arr[i + 1])
    if sum_nums(n1) == s_mi and sum_nums(n2) != s_mi or sum_nums(n1) != s_mi and sum_nums(n2) == s_mi:
        count += 1
        if not pair and (r := (arr[i] + arr[i + 1]) ** 0.5) == round(r):
            pair = (arr[i], arr[i + 1])
 
print(count, pair)

def five(num):
    res = ''
    while num > 0:
        res = str(num % 5) + res
        num //= 5
 
    return int(res)
 
 
def sum_nums(num):
    s = 0
    while num:
        s += num % 10
        num = num // 10
    return s
 
 
def mul_nums(num):
    s = 1
    while num:
        s *= num % 10
        num = num // 10
    return s
 
 
with open('17.txt', 'r', encoding='utf-8') as f:
    arr = [int(x) for x in f.read().split('\n')]
 
mi = float('inf')
for el in arr:
    if el < mi and len(str(mul_nums(el))) == 3:
        mi = el
 
s_mi = sum_nums(mi)
count = 0
pair = None
for i in range(len(arr) - 1):
    n1 = five(arr[i])
    n2 = five(arr[i + 1])
    if sum_nums(n1) == s_mi and sum_nums(n2) != s_mi or sum_nums(n1) != s_mi and sum_nums(n2) == s_mi:
        count += 1
        if not pair:
            r = (arr[i] + arr[i + 1]) ** 0.5
            if r == int(r):
                pair = (arr[i], arr[i + 1])
 
print(count, pair)