{"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\"\u003eLittle Ruins is a studious boy, recently he learned inequation!\u003cbr\u003e\u003cbr\u003eAs homework, his teacher gives him a problem of inequation: give you an array a with length $N-1$, please find an array $x$ with length $N$ and $x_i \\times x_{i+1} \\geq a_i$ for each $i$ from $1$ to $N-1$ and try to \u003cb\u003eminimize\u003c/b\u003e the sum of $x$.\u003c/div\u003e"}},{"title":"Input","value":{"format":"HTML","content":"First line contains an integer $T$, which indicates the number of test cases.\u003cbr\u003e\u003cbr\u003eEvery test case begins with an integers $N$, which is the length of array $x$.\u003cbr\u003e\u003cbr\u003eThe second line contains $N-1$ integers $a_1$, $a_2$, $\\cdots$, $a_{N-1}$, indicating the array $a$.\u003cbr\u003e\u003cbr\u003eLimits\u003cbr\u003e$1 \\leq T \\leq 50$.\u003cbr\u003e$1 \\leq N \\leq 2000$.\u003cbr\u003e$0 \u0026lt; a_i \\leq 10^4$.\u003cbr\u003eFor 80\\% of the use cases, $1 \\leq N \\leq 100$ holds."}},{"title":"Output","value":{"format":"HTML","content":"For every test case, you should output \u003cb\u003e\u0027Case #x: y\u0027\u003c/b\u003e, where \u003cb\u003ex\u003c/b\u003e indicates the case number and counts from \u003cb\u003e1\u003c/b\u003e and \u003cb\u003ey\u003c/b\u003e is the result.\u003cbr\u003e\u003cbr\u003eRound the \u003cb\u003ey\u003c/b\u003e to the fifth digit after the decimal point."}},{"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\n4\r\n2 3 2\r\n4\r\n1 2 3\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase #1: 5.77350\r\nCase #2: 5.47723\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}