PBBN1 - Print Big Binary Numbers

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Some answers for some problems could be huge binary numbers. In order to check the computation, one could ask you the sum of its digits. With a little base, the answer is a small number too, but not with a bigger base.

XerK would like to avoid precomputed results and wish check you've computed his huge numbers. Here's a tutorial problem that check computation of a big number N. A classical edition exists with language restrictions.

Let define the function CHK(N, B):
Input : N a big number in binary representation, B a power of two. Consider N as a base B number.
Output : the sum of its digits in this base.

Example :with B=2^8, 12345678 = 78 + 97*B + 188*B*B, so CHK(12345678, B) = 78 + 97 + 188

This should be easily computed with few bitwise-AND, bitshifts and additions.


The input begins with the number T of test cases in a single line.
In each of the next T lines there are four integers A, B, C, D, given in base 10.


For each test case :
* compute N = (A^B) XOR (C^D).
* print CHK(N, 2^16384) as a base 10 number.
(^ denote the power, and XOR the bitwise operator)


7 3 5 4
1234 5678 9012 4444



For test case 1:
7^3 = 343, 5^4 = 625, 343 XOR 625 = 806, CHK(806, 2^16384) = 806.

For test case 2:
You have to output all 4933 digits of the result.


1 < T <= 321
1 < A, B, C, D <= 10^4

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(Tjandra Satria Gunawan)(曾毅昆): 2012-11-24 11:37:59

My C code run perfectly on my PC but SIGSEGV here? seems that because case #3, can you tell me what is it? and also my 127Bytes python 3 code getting TLE, is there any tricky test case?
--ans--> it's not case dependent. if T==1 : no SIGSEGV for some input, but with T==2, you have SIGSEGV with the same values. (Experiments on my 64bit hardware, GNU/Linux obviously ;-) .)
EDIT: thanks I got it, seems that infinite allocation occured, and for debug it (large code) is hard...

Last edit: 2012-11-24 12:16:09

Added by:Francky
Time limit:10s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own problem