Problem Description
Consider people calling out bids in different number bases at an auction. Find the minimum bid assuming the following:
-
The bid numbers are in bases that make their respective values minimum.
-
There is only one minimum value among all the bids.
Constraints
-
N <= 10
-
Maximum base = 36
-
Symbols used for digits: Base 2: 0, 1
Base 3: 0, 1, 2
…
Base 11: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A
…
Base 36: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z
- Face values for symbols: Symbol => Value 0 => 0
1 => 1
2 => 2
….
9 => 9
A => 10
B => 11
….
Z => 35
Input Format
N different numbers in various bases, with numbers delimited by space
Output
The value in base 10 of the minimum bid.
Test Case
Explanation
Example 1
Input
11 12
Output
3
Explanation
The value of number represented by 11 is least in base 2 and that least value in base 10 is 3. The least value of the representation 12 is in base 3 and is equal to 5. Since 3 < 5, 3 is the lowest bid and is the output.
Example 2
Input
1Z A L0 17
Output
10
Explanation
The least values are:
1Z in base 36: 1*(36)+35 = 71
A in base 11: 10
L0 in base 22: 21*(22)+0 = 462
17 in base 8: 1*(8)+7 = 15
Hence the least bid is 10.