String Partition

John was absurdly busy for preparing a programming contest recently. He wanted to create a ridicu- lously easy problem for the contest. His problem was not only easy, but also boring: Given a list of non-negative integers, what is the sum of them? However, he made a very typical mistake when he wrote a program to generate the input data for his problem. He forgot to print out spaces to separate the list of integers. John quickly realized his mistake after looking at the generated input file because each line is simply a string of digits instead of a list of integers. He then got a better idea to make his problem a little more interesting: There are many ways to split a string of digits into a list of non-zero-leading (0 itself is allowed) 32-bit signed integers. What is the maximum sum of the resultant integers if the string is split appropriately? Input The input begins with an integer N (≤ 500) which indicates the number of test cases followed. Each of the following test cases consists of a string of at most 200 digits. Output For each input, print out required answer in a single line. Sample Input 6 1234554321 5432112345 000 121212121212 2147483648 11111111111111111111111111111111111111111111111111111 Sample Output 1234554321 543211239 0 2121212124 214748372 5555555666