## DCEPCA01 - Good Luck

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A number is called lucky if it consists of only digits 4 and 7 ie. 4, 7, 44, 47 are lucky numbers while 3, 45, 4478 are not lucky. For a given lucky number the functions F(i) and G(i) are defined as follows

F(i) = the number of 4’s from 0th to ith position in the number including positions 0 and i.
G(i) = the number of 7’s from 0th to ith position in the number including positions 0 and i.

Let H(i)= absolute(F(i)-F(i+1)-F(i+2)+F(i+3))

A "Dynamic Number" is a lucky number which has maximum of summation(H(i)) from i = 0 to n-4 amongst all lucky numbers of length N.

Given a number N , you need to find out the sum of the two smallest Dynamic Numbers of length N.If only one Dynamic Number is possible, then only that number is the answer.

Note : Most significant bit is defined as the 0th position of the number.

0 < T <= 100
4 <= N <= 10^5

### Input

It consists of T+1 lines. T denotes the number of test cases. Followed by T lines, each containing one number N.

### Output

Output T lines, each containing a number as required.

### Example

```Input:
14Output:
8924``` anurag garg: 2014-02-07 13:52:26 very nice question... Kartik Khare: 2013-05-26 12:31:34 ya i got it actually i was taking last digit as 0th digit Last edit: 2013-05-26 12:31:48 Sandeep Pathry: 2013-05-26 09:55:04 @kartik its 1 buddy... |1-2-3+3|=1 Kartik Khare: 2013-05-26 08:54:26 how can 4447 be a dynamic number the summation for it is 0. Abhilash Kumar: 2012-12-17 16:47:37 @Tjandra Satria Gunawan thanks a lot..i dont know why but i didnt noticed it :) (Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†): 2012-12-17 11:46:52 @Abhilash Kumar: You're wrong. h(i) never negative, because of absolute() function... Last edit: 2012-12-17 11:47:11 Abhilash Kumar: 2012-12-17 11:37:37 8924=4447+4477 right..but submation(h(i)) for them are -1 .but if we use 7774 we get 1..i m wrong?? triveni: 2012-12-16 13:43:50 Thanks dce coders, this problem tought me about the difference in fastness of putchar and printf.. :) (Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†): 2012-12-07 09:03:46 thanks dce coders, I like most of your problem ;-) so far 14 DCE problems solved :-D