Minimum Sum

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### Read problem statements in [Hindi](http://www.codechef.com/download/translated/LTIME71/hindi/MINARRS.pdf), [Bengali](http://www.codechef.com/download/translated/LTIME71/bengali/MINARRS.pdf), [Mandarin Chinese](http://www.codechef.com/download/translated/LTIME71/mandarin/MINARRS.pdf), [Russian](http://www.codechef.com/download/translated/LTIME71/russian/MINARRS.pdf), and [Vietnamese](http://www.codechef.com/download/translated/LTIME71/vietnamese/MINARRS.pdf) as well. You are given a sequence of nonnegative integers $A_1, A_2, \ldots, A_N$. At most once, you may choose a nonnegative integer $X$ and for each valid $i$, change $A_i$ to $A_i \oplus X$ ($\oplus$ denotes bitwise XOR). Find the minimum possible value of the sum of all elements of the resulting sequence. ### Input  The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.  The first line of the input contains a single integer $N$.  The second line contains $N$ spaceseparated integers $A_1, A_2, \ldots, A_N$. ### Output For each test case, print a single line containing one integer ― the minimum possible sum. ### Constraints  $1 \le T \le 1,000$  $1 \le N \le 10^5$  $1 \le A_i \le 10^9$ for each valid $i$  the sum of $N$ over all test cases does not exceed $10^6$ ### Subtasks **Subtask #1 (50 points):**  $1 \le N \le 10^3$  $1 \le A_i \le 10^3$ for each valid $i$ **Subtask #2 (50 points):** original constraints ### Example Input ``` 3 5 2 3 4 5 6 4 7 7 7 7 3 1 1 3 ``` ### Example Output ``` 14 0 2 ``` ### Explanation **Example case 1:** If we choose $X = 6$, the sequence becomes $(4, 5, 2, 3, 0)$. **Example case 2:** We can choose $X = 7$ to make all elements of the resulting sequence equal to $0$. **Example case 3:** We can choose $X = 1$. The sequence becomes $(0, 0, 2)$, with sum $2$.Author:  kingofnumbers 
Editorial  https://discuss.codechef.com/problems/MINARRS 
Tags  bitwiseoperatn, easy, greedy, kingofnumbers, ltime71, observations, taran_1407 
Date Added:  26042019 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, rust, SCALA, swift, 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, kotlin, PERL6, TEXT, SCM chicken, PYP3, CLOJ, R, COB, FS 
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