Polo the Penguin and the XOR

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Read problems statements in Russian here
Polo, the Penguin, likes the XOR operation. Please read NOTE if you are not familiar with XOR operation.
XORsum of a list of numbers is the result of XORing all of them. XORsum of (A[1] XOR A[2] XOR ... XOR A[N]) is defined as A[1] XOR (A[2] XOR (A[3] XOR ( ... XOR A[N]))).
He has an array A consisting of N integers. Index in the array are numbered from 1 to N, inclusive. Let us denote by F(L, R), the XORsum of all integers in the array A whose indices lie from L to R, inclusive, i.e. F(L, R) = A[L] XOR A[L+1] XOR ... XOR A[R]. Your task is to find the total sum of XORsums F(L, R) over all L and R such that 1 ≤ L ≤ R ≤ N.
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. The first line of each test case contains a single integer N denoting the size of A. The second line contains N spaceseparated integers A[1], A[2], ..., A[N].
Output
For each test case, output a single line containing the total sum to the corresponding test case.
Constraints
 1 ≤ T ≤ 100,000
 1 ≤ N ≤ 100,000
 0 ≤ A[i] ≤ 1,000,000,000 (10^9)
 The total sum of all N over all test cases will not exceed 100,000.
Example
Input: 1 2 1 2 Output: 6
Explanation
Example case 1. F(1, 1) = A[1] = 1, F(2, 2) = A[2] = 2 and F(1, 2) = A[1] XOR A[2] = 1 XOR 2 = 3. Hence the answer is 1 + 2 + 3 = 6.
NOTE
XOR operation is a bitwise "Exclusive OR" operation performed on two integers in binary representation. First, the shorter number is prepended with leading zeroes until the numbers have equal size in binary. Then the resulting number (also in binary) contains 0 in all positions where the corresponding bits coincide, and 1 on the rest of the positions.
For example, 3 XOR 5 = 011_{2} XOR 101_{2} = 110_{2} = 6.
Author:  witua 
Tester:  rustinpiece 
Editorial  http://discuss.codechef.com/problems/PPXOR 
Tags  bitwise, cook39, easymedium, witua, xor 
Date Added:  30092013 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS 
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