Problem:
Score : 100 points

Problem Statement

Given is a string S representing the day of the week today.

S is SUN, MON, TUE, WED, THU, FRI, or SAT, for Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday, respectively.

After how many days is the next Sunday (tomorrow or later)?

Constraints

S is SUN, MON, TUE, WED, THU, FRI, or SAT.

Input

Input is given from Standard Input in the following format:

S

Output

Print the number of days before the next Sunday.

Sample Input 1

SAT

Sample Output 1

1

It is Saturday today, and tomorrow will be Sunday.

Sample Input 2

SUN

Sample Output 2

7

It is Sunday today, and seven days later, it will be Sunday again.

Solution in Python (3.4.3) (judge verdict: Runtime Error)

import math

a, b, x = map(int, input().split())
n = 0
i = 1
f = int(1e9)
ans = 0

while f-i > 1:
  n = (i+f)//2
  d = math.trunc(math.log10(n)) + 1
  if a*n + b*d <= x:
    i = n
  else:
    f = n

if a*f + b*d <= x:
  ans = f
elif a*i + b*d <= x:
  ans = i
else:
  ans = 0

print(ans)