{"trustable":true,"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":"\u003cp\u003eMad scientist Mike is building a time machine in his spare time. To finish the work, he needs a resistor with a certain resistance value.\u003c/p\u003e\u003cp\u003eHowever, all Mike has is lots of identical resistors with unit resistance \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eR\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e0\u003c/sub\u003e \u003d 1\u003c/span\u003e. Elements with other resistance can be constructed from these resistors. In this problem, we will consider the following as elements: \u003c/p\u003e\u003col\u003e \u003cli\u003e one resistor; \u003c/li\u003e\u003cli\u003e an element and \u003cspan class\u003d\"tex-font-style-bf\"\u003eone\u003c/span\u003e resistor plugged in sequence; \u003c/li\u003e\u003cli\u003e an element and \u003cspan class\u003d\"tex-font-style-bf\"\u003eone\u003c/span\u003e resistor plugged in parallel. \u003c/li\u003e\u003c/ol\u003e\u003ccenter\u003e \u003cimg class\u003d\"tex-graphics\" src\u003d\"CDN_BASE_URL/76f520ab98a6590b5adb59cfd017c038?v\u003d1715798201\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e \u003c/center\u003e\u003cp\u003eWith the consecutive connection the resistance of the new element equals \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eR\u003c/i\u003e \u003d \u003ci\u003eR\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ee\u003c/i\u003e\u003c/sub\u003e + \u003ci\u003eR\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e0\u003c/sub\u003e\u003c/span\u003e. With the parallel connection the resistance of the new element equals \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/592b2856aa3692d352969988ce33fb96?v\u003d1715798201\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e. In this case \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eR\u003c/i\u003e\u003csub class\u003d\"lower-index\"\u003e\u003ci\u003ee\u003c/i\u003e\u003c/sub\u003e\u003c/span\u003e equals the resistance of the element being connected.\u003c/p\u003e\u003cp\u003eMike needs to assemble an element with a resistance equal to the fraction \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/87f3e25de0cebfb2bf3a2a011ca562b6?v\u003d1715798201\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e. Determine the smallest possible number of resistors he needs to make such an element.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe single input line contains two space-separated integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eb\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ea\u003c/i\u003e, \u003ci\u003eb\u003c/i\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e18\u003c/sup\u003e\u003c/span\u003e). It is guaranteed that the fraction \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/87f3e25de0cebfb2bf3a2a011ca562b6?v\u003d1715798201\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e is irreducible. It is guaranteed that a solution always exists.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint a single number — the answer to the problem.\u003c/p\u003e\u003cp\u003ePlease do not use the \u003cspan class\u003d\"tex-font-style-tt\"\u003e%lld\u003c/span\u003e specifier to read or write 64-bit integers in С++. It is recommended to use the \u003cspan class\u003d\"tex-font-style-tt\"\u003ecin\u003c/span\u003e, \u003cspan class\u003d\"tex-font-style-tt\"\u003ecout\u003c/span\u003e streams or the \u003cspan class\u003d\"tex-font-style-tt\"\u003e%I64d\u003c/span\u003e specifier.\u003c/p\u003e"}},{"title":"Examples","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\u003e1 1\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"}},{"title":"","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\u003e3 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e3\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","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\u003e199 200\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e200\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first sample, one resistor is enough.\u003c/p\u003e\u003cp\u003eIn the second sample one can connect the resistors in parallel, take the resulting element and connect it to a third resistor consecutively. Then, we get an element with resistance \u003cimg align\u003d\"middle\" class\u003d\"tex-formula\" src\u003d\"CDN_BASE_URL/c2a049030d6b6ac45efd1775796ebb7e?v\u003d1715798201\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e. We cannot make this element using two resistors.\u003c/p\u003e"}}]}