A new hotel has been built in a city where the citizens believe that the number 13 brings bad luck. The hotel has n rooms which are numbered from 1 to n inclusive. One of the main properties of a room is its unlucky value which depends on the room number. Only number whose decimal forms contain the substring "13" will be considered to be unlucky numbers. For example, 13, 132, 1313, 9130 are unlucky numbers, but 1, 3, 31, 103, 123123 are not. The unlucky value of a room is the square of the room number if the room number is unlucky, and zero otherwise. A hotel's unlucky value equals the sum of the unlucky value of all its rooms. Help the manager to calculate the unlucky value of this hotel.
The first line contains an integer T (T<=100) indicating the number of test cases. T lines follows, each line contains an integer k (1<=k<=100) indicating that this hotel has 10^k (the k-th power of 10) rooms.
For each test case, print the case number and the answer % 100003 in a single line where the answer is the unlucky value of this hotel. Follow the format of the sample output please.