{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n div.illustration {\n float: right;\n padding-left: 20px;\n }\n div.illustration .illustration {\n width: 100%;\n border-radius: 4px;\n }\n pre {\n display: block;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n color: #333;\n word-break: break-all;\n word-wrap: break-word;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\n \u003cp\u003eA positive integer \u003cspan class\u003d\"tex2jax_process\"\u003e$N$\u003c/span\u003e\n is a \u003cem\u003ebase-\u003cspan class\u003d\"tex2jax_process\"\u003e$b$\u003c/span\u003e\n palindrome\u003c/em\u003e if the base-\u003cspan class\u003d\"tex2jax_process\"\u003e$b$\u003c/span\u003e representation of \u003cspan class\u003d\"tex2jax_process\"\u003e$N$\u003c/span\u003e (with no leading zeros) is a\n palindrome, i.e.\u0026nbsp;reads the same way in either direction.\n For instance, \u003cspan class\u003d\"tex2jax_process\"\u003e$7$\u003c/span\u003e (base\n \u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e) is a palindrome in\n any base greater than or equal to \u003cspan class\u003d\"tex2jax_process\"\u003e$8$\u003c/span\u003e. It is also a palindrome in base\n \u003cspan class\u003d\"tex2jax_process\"\u003e$2$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$111$\u003c/span\u003e) and \u003cspan class\u003d\"tex2jax_process\"\u003e$6$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$11$\u003c/span\u003e), but not in \u003cspan class\u003d\"tex2jax_process\"\u003e$3$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$21$\u003c/span\u003e), \u003cspan class\u003d\"tex2jax_process\"\u003e$4$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$13$\u003c/span\u003e), \u003cspan class\u003d\"tex2jax_process\"\u003e$5$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$12$\u003c/span\u003e), or \u003cspan class\u003d\"tex2jax_process\"\u003e$7$\u003c/span\u003e (\u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e). The first four\n base-\u003cspan class\u003d\"tex2jax_process\"\u003e$2$\u003c/span\u003e palindromes\n (written in base \u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e) are\n \u003cspan class\u003d\"tex2jax_process\"\u003e$1$\u003c/span\u003e, \u003cspan class\u003d\"tex2jax_process\"\u003e$3$\u003c/span\u003e, \u003cspan class\u003d\"tex2jax_process\"\u003e$5$\u003c/span\u003e, and \u003cspan class\u003d\"tex2jax_process\"\u003e$7$\u003c/span\u003e.\u003c/p\u003e\n \u003ch2\u003eTask\u003c/h2\u003e\n \u003cp\u003eYou are supposed to find the \u003cspan class\u003d\"tex2jax_process\"\u003e$M$\u003c/span\u003e-th base-\u003cspan class\u003d\"tex2jax_process\"\u003e$2$\u003c/span\u003e palindrome and output its\n base-\u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e\n representation.\u003c/p\u003e\n \u003ch2\u003eInput\u003c/h2\u003e\n \u003cp\u003eThe input is a single line with a single positive integer\n \u003cspan class\u003d\"tex2jax_process\"\u003e$M\\leq 50\\, 000$\u003c/span\u003e in base\n \u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e.\u003c/p\u003e\n \u003ch2\u003eOutput\u003c/h2\u003e\n \u003cp\u003eThe output for input \u003cspan class\u003d\"tex2jax_process\"\u003e$M$\u003c/span\u003e should be a single line with the\n base-\u003cspan class\u003d\"tex2jax_process\"\u003e$10$\u003c/span\u003e representation\n of the \u003cspan class\u003d\"tex2jax_process\"\u003e$M$\u003c/span\u003e-th\n base-\u003cspan class\u003d\"tex2jax_process\"\u003e$2$\u003c/span\u003e palindrome.\u003c/p\u003e\n \u003ch2\u003eSample 1\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n \u003ch2\u003eSample 2\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e3\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e5\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n "}}]}