{"trustable":false,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\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$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cstyle type\u003d\u0027text/css\u0027\u003e .input, .output {border: 1px solid #888888;} .output {margin-bottom:1em;position:relative;top:-1px;} .output pre,.input pre {background-color:#EFEFEF;line-height:1.25em;margin:0;padding:0.25em;} .title {background-color:#FFFFFF;border-bottom: 1px solid #888888;font-family:arial;font-weight:bold;padding:0.25em;} \u003c/style\u003e \u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027]], displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027]]}\n });\n \u003c/script\u003e\n \u003cscript type\u003d\"text/javascript\" async\n src\u003d\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\"\u003e\n \u003c/script\u003e\n\u003cp\u003eRidbit starts with an integer $$$n$$$.\u003c/p\u003e\n\u003cp\u003eIn one move, he can perform one of the following operations: \u003c/p\u003e\n\u003cul\u003e \n \u003cli\u003e divide $$$n$$$ by one of its \u003cspan class\u003d\"tex-font-style-bf\"\u003eproper\u003c/span\u003e divisors, or \u003c/li\u003e\n \u003cli\u003e subtract $$$1$$$ from $$$n$$$ if $$$n$$$ is greater than $$$1$$$. \u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eA proper divisor is a divisor of a number, excluding itself. For example, $$$1$$$, $$$2$$$, $$$4$$$, $$$5$$$, and $$$10$$$ are proper divisors of $$$20$$$, but $$$20$$$ itself is not.\u003c/p\u003e\n\u003cp\u003eWhat is the minimum number of moves Ridbit is required to make to reduce $$$n$$$ to $$$1$$$?\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains a single integer $$$t$$$ ($$$1 \\leq t \\leq 1000$$$)\u0026nbsp;— the number of test cases.\u003c/p\u003e\n\u003cp\u003eThe only line of each test case contains a single integer $$$n$$$ ($$$1 \\leq n \\leq 10^9$$$).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003eFor each test case, output the minimum number of moves required to reduce $$$n$$$ to $$$1$$$.\u003c/p\u003e"}},{"title":"Example","value":{"format":"HTML","content":"\u003cdiv class\u003d\"sample-test\"\u003e\n \u003cdiv class\u003d\"input\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Input\n \u003c/div\u003e\n \u003cpre\u003e6\n1\n2\n3\n4\n6\n9\n\u003c/pre\u003e\n \u003c/div\u003e\n \u003cdiv class\u003d\"output\"\u003e\n \u003cdiv class\u003d\"title\"\u003e\n Output\n \u003c/div\u003e\n \u003cpre\u003e0\n1\n2\n2\n2\n3\n\u003c/pre\u003e\n \u003c/div\u003e\n\u003c/div\u003e"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eFor the test cases in the example, $$$n$$$ may be reduced to $$$1$$$ using the following operations in sequence\u003c/p\u003e\n\u003cp\u003e$$$1$$$\u003c/p\u003e\n\u003cp\u003e$$$2 \\xrightarrow{} 1$$$\u003c/p\u003e\n\u003cp\u003e$$$3 \\xrightarrow{} 2 \\xrightarrow{} 1$$$\u003c/p\u003e\n\u003cp\u003e$$$4 \\xrightarrow{} 2 \\xrightarrow{} 1$$$\u003c/p\u003e\n\u003cp\u003e$$$6 \\xrightarrow{} 2 \\xrightarrow{} 1$$$\u003c/p\u003e\n\u003cp\u003e$$$9 \\xrightarrow{} 3 \\xrightarrow{} 2\\xrightarrow{} 1$$$\u003c/p\u003e"}}]}