GOO - Game Of Ones


Haba and Goba are brothers, they love binary numbers very much. Today is Haba’s birthday so, his uncle gifted him a 3 bit binary string.  Getting the present, both of them are very happy. Now, Goba asked Haba that using 3 bits how many different binary numbers he can write, whose 1st bit is 1 and total how many 1 will be needed to write those numbers. Haba answered he can write 4 different numbers using 3 bits whose first bit is 1 and those numbers are 4(100), 5(101), 6(110) and 7(111) and to write these 4 numbers in binary he will need 8 ‘1’. Now Goba told Haba that he will tell Haba the length of a binary string n and Haba will have to answer that  using n bits how many different binary numbers he can write, whose 1st bit is 1 and total how many 1 will be needed to write those numbers. If Haba can answer correctly he will get more binary strings as present. Haba wants to get more binary string as present but, he doesn’t know the answer of the question of Goba for bigger value of n, so now he wants your help. Help him to find the answer.

Input

The first line contains a positive integer number, t (1≤t≤50) indicating the number of test cases. Each test case contains a positive integer number, n (1≤n≤50) indicating the number of bits.

Output

For each test case you have to output two numbers, whose first and second number indicates the answer of Goba’s first and second question respectively.

Example

Input:

2
2
3

Output:

2 3
4 8


hide comments
atishya_20: 2021-05-06 11:01:37

AC IN ONE GO

lakshya1st: 2020-08-30 13:09:47

AC in one GOO!! Apply basic P&C...

kbhartiya83: 2020-04-27 19:25:46

not a good question.

Last edit: 2020-04-27 19:26:07
prgnit_20: 2018-10-19 22:12:19

observe the pattern!!

sanyam19: 2018-06-19 09:50:28

nice but easy Q... :)

nemocptn3m0: 2018-06-04 09:01:10

beware of n=1

anirudnits: 2017-11-11 13:57:57

AC in one go:)

zzuwenjie: 2017-08-21 10:34:41

I use %I64d output, get WA, but %lld AC . g++

TLE: 2017-07-14 08:34:58

my code is working fine for every test case ..why am i getting wrong answer..can u please check once?

parthsavaliya: 2017-07-12 13:31:29

amit_taps1997 use unsigned long long int


Added by:Rofi
Date:2016-04-27
Time limit:0.100s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU JS-MONKEY
Resource:Own problem. Used in NHSPC 2016 Final Round.