{"trustable":false,"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":"\u003cscript type\u003d\u0027text/x-mathjax-config\u0027\u003eMathJax.Hub.Config({tex2jax: { inlineMath: [[\u0027$\u0027,\u0027$\u0027]] } }); \u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027 src\u003d\u0027https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\u0027\u003e\u003c/script\u003e\n\u003cscript type\u003d\u0027text/javascript\u0027\u003esetTimeout(function(){MathJax.Hub.Queue([\u0027Typeset\u0027, MathJax.Hub, \u0027left_view\u0027]);}, 2000);\u003c/script\u003e\n\u003cdiv class\u003d\"panel_content\"\u003e\n\t\u003cstrong\u003e\u003cli\u003e本题\u0027^\u0027均指代幂,\u0027⌊x⌋\u0027为向下取整,f(n)♩x表示f(n)进行了x次运算。\u003c/strong\u003e\u003cbr\u003e\n 让我们定义函数f(n)\u003d ⌊√n⌋。\n \u003cbr\u003e \n \u003cbr\u003e Bo想知道满足(f(n))♩y \u003d 1的最小数y。\n \u003cbr\u003e \n \u003cbr\u003e 注意:(f(n))♩1 \u003d f(n),(f(n))♩y\u003d f(f(n)♩(y-1))\n \u003cbr\u003e \n \u003cbr\u003e 很遗憾,Bo每次只能使用1个单位时间来计算该函数。\n \u003cbr\u003e \n \u003cbr\u003e Bo很不耐烦,他不能忍受超过5个单位的时间。\n \u003cbr\u003e \n \u003cbr\u003e 因此,Bo想知道他是否可以在5个单位时间内解决此问题。\n\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"此问题有多个测试用例(不超过120个)。 \n\u003cbr\u003e \n\u003cbr\u003e 每个测试用例都包含一个非负整数n(n \u003c10^100)。"}},{"title":"Output","value":{"format":"HTML","content":"对于每个测试用例,都打印一个整数-答案y或字符串“ TAT”-Bo无法解决此问题。"}},{"title":"Sample Input","value":{"format":"HTML","content":"\u003cpre\u003e233\n233333333333333333333333333333333333333333333333333333333\u003c/pre\u003e"}},{"title":"Sample Output","value":{"format":"HTML","content":"\u003cpre\u003e3\nTAT\u003c/pre\u003e"}}]}