PIHEX2 - Hexadecimal value of Pi

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All people use decimal system every day. For all of us the value of Pi is 3.141592653589793238462643383279....

But there is common to use hexadecimal system in programming. The hexadecimal value of Pi is 3.243F6A8885A308D313198A2E037073....

In this problem for given a, You should compute the digit, that appears in hexadecimal representation of Pi at ath position after comma (for a=0 the answer is '3' - the only digit before comma, for a=1 the answer is '2' - the first digit after comma; see example for clarify).


The first line of input contains single integer t - the number of test cases (1 ≤ t ≤ 20).

The second line of input contains t single-space separated integers a1, a2, ..., at (0 ≤ ai ≤ 1000000).


The only line of output should contain t hexadecimal digits (use capital letters A-F), where ith digit appears in Pi hexadecimal representation at aith position.



0 1 2 3 4 5 6 7 8 9 10 100 1000 10000 100000 1000000



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Robert Gerbicz: 2014-03-19 16:53:03

It is good to keep this problem, try to solve the problem without computing the first 1m hex digits of pi !

Hint: http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/bbp-alg.pdf

Last edit: 2014-03-19 16:53:25
Francky: 2014-03-19 16:08:58

We are waiting for Robert Gerbicz advice on this problem too. Please.

Added by:miodziu
Time limit:5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64