{"trustable":true,"prependHtml":"\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"panel_content\"\u003eAlice and Bob are playing a game. \u003cbr\u003e\u003cbr\u003eThey take turns to operate. There are $n$ numbers, $a_1$ , $a_2$ , ... , $a_n$. Every time, the player plays in 3 steps.\u003cbr\u003e1.Arbitrarily chooses one number $a_i$. \u003cbr\u003e2.Arbitrarily chooses another number $x$($1 \\leq x \u0026lt; a_i$).\u003cbr\u003e3. Replace the number $a_i$ with $gcd(a_i,x)$. Here, $gcd(u,v)$ refers to the $\\textbf{Greatest Common Divisor}$ of $u$ and $v$. \u003cbr\u003e\u003cbr\u003eWhen a player can not make a single move he/she loses the game. Alice moves the first and she asks you to tell her who will win the game if both player play optimally.\u003cbr\u003e\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"The first line contains a number $T$($1 \\leq T \\leq 100$), the number of testcases.\u003cbr\u003e\u003cbr\u003eFor each testcase, there are two lines.\u003cbr\u003eThe first line contains one number $n$($1 \\leq n \\leq 10^6$).\u003cbr\u003eThe second line contains $n$ numbers $a_1$ , $a_2$ , ... , $a_n$($1 \\leq a_i \\leq 10^7$).\u003cbr\u003e\u003cbr\u003eIt is guaranteed that for all testcases, $\\sum{n} \\leq 10^6$."}},{"title":"Output","value":{"format":"HTML","content":"For each testcase, output the answer in one line. If Alice will win the game, print \"Alice\", otherwise print \"Bob\"."}},{"title":"Sample","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e2\r\n1\r\n1\r\n1\r\n2\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eBob\r\nAlice\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}