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VK Cup 2012 Wild-card Round 1:

- Factor

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G. Non-decimal sum

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given an array of integers written in base *radix*. Calculate their sum and output it written in the same base.

Input

The first line of the input contains an integer *n* (1 ≤ *n* ≤ 10) — the size of the array. The second line contains an integer *radix* (2 ≤ *radix* ≤ 36) — the base of the numeral system used. Next *n* lines contain the elements of the array, one per line.

Each element is a non-negative integer written in *radix*-based notation, possibly with leading zeros, which contains between 1 and 5 digits, inclusive. The digits of the notation will be 0, 1, ..., 9, A, B, ..., Z in the given order.

Output

Output the sum of array elements in *radix*-based notation. Use the same format as in the input.

Examples

Input

3

16

F0

20B

004

Output

2FF

Input

2

10

12

34

Output

46

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