Misha has decided to come up with the following puzzle to ask her friends:
Find the count of fancy numbers in the range \([L, R]\). Fancy numbers have an interesting property. The property states that the sum of numbers got as the result of adding all the subsequences that can be formed from the given number will be even.
For example, the number \(202\) is a fancy number as the sum of numbers that are formed by all of its subsequences is calculated as: \(2 + 0 + 2 + 20 + 02 + 22 + 202 = 250\). Since \(250\) is an even number, the number \(202\) is considered to be fancy.
Input format
Output format
Constraints
\(1 \le T \le 100\)
\(1 \le L,\ R \le 10^{10}\)
Subsequence Sum for \(8\) is \(8\) which is even.
Subsequence Sum for \(9\) is \(9\) which is odd.
Subsequence Sum for \(10\) is \(11 \ (10 + 1 + 0)\) which is odd.
Subsequence Sum of \(11\) is \(13 \ (11 + 1 + 1)\) which is odd.
Hence, there is only one number in the range \([8,11]\) which is fancy.
Challenge Name
3 Address Code - On site Hackathon - Finals
3 Address Code - On site Hackathon - Finals