Brute force
This problem is not fascinating, we could start from the first of January 1901 as a Tuesday, and iterate on each month, for example the first day of February 1901 is Tuesday + \( 31\ \%\ 7 \), which is Friday. We could continue by taking leap year into account. But thanks to Python, we can solve this problem with a simpler solution:
From solution1.py:
def counting_sundays():
res = 0
for year in range(1901, 2001):
for month in range(1, 13):
if datetime.datetime(year, month, 1).weekday() == 6:
res += 1
return res