{"trustable":false,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n section pre {\n display: block;\n padding: 9.5px;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n word-break: break-all;\n word-wrap: break-word;\n color: #333;\n background: rgba(255, 255, 255, 0.5);\n border: 1px solid #ccc;\n border-radius: 6px;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\(\u0027, right: \u0027\\\\)\u0027, display: false},\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"Problem Statement","value":{"format":"HTML","content":"\u003cimg src\u003d\"https://s3.ax1x.com/2020/11/11/BvrhHs.png\" alt\u003d\"BvrhHs.png\" border\u003d\"0\" /\u003e\n\u003cimg src\u003d\"https://s3.ax1x.com/2020/11/11/BvrOu4.png\" alt\u003d\"BvrOu4.png\" border\u003d\"0\" /\u003e"}},{"title":"Sample Input 1","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e2\n0 -40\n0 40\n\u003c/pre\u003e"}},{"title":"Sample Output 1","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e40\n\u003c/pre\u003e \n\u003cp\u003e\u003cimg alt\u003d\"\" src\u003d\"CDN_BASE_URL/c50e6c08b5992b834053708af0313f82?v\u003d1604911295\"\u003e\u003c/p\u003e \n\u003cp\u003eAs shown in the figure, we can move the circle with \u003cvar\u003e(r\u003d40)\u003c/var\u003e from \u003cvar\u003e(-10^9, 0)\u003c/var\u003e to \u003cvar\u003e(10^9, 0)\u003c/var\u003e by moving it along \u003cvar\u003ey\u003d0\u003c/var\u003e.\u003c/p\u003e \n\u003cp\u003eWhen \u003cvar\u003ex\u003d0\u003c/var\u003e, the circle exactly touches the two nails, which is fine since they do not penetrate the interior of the circle.\u003c/p\u003e \n\u003cp\u003eAny value of \u003cvar\u003er\u003c/var\u003e greater than \u003cvar\u003e40\u003c/var\u003e makes it impossible to move the circle to \u003cvar\u003e(10^9, 0)\u003c/var\u003e, so the maximum possible value is \u003cvar\u003er\u003d40\u003c/var\u003e.\u003c/p\u003e"}},{"title":"Sample Input 2","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e4\n0 -10\n99 10\n0 91\n99 -91\n\u003c/pre\u003e"}},{"title":"Sample Output 2","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e50.5\n\u003c/pre\u003e"}},{"title":"Sample Input 3","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e10\n-90 40\n20 -30\n0 -90\n10 -70\n80 70\n-90 30\n-20 -80\n10 90\n50 30\n60 -70\n\u003c/pre\u003e"}},{"title":"Sample Output 3","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e33.541019662496845446\n\u003c/pre\u003e"}},{"title":"Sample Input 4","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e10\n65 -90\n-34 -2\n62 99\n42 -13\n47 -84\n84 87\n16 -78\n56 35\n90 8\n90 19\n\u003c/pre\u003e"}},{"title":"Sample Output 4","value":{"format":"HTML","content":"\u003ch3\u003e\u003c/h3\u003e\n\u003cpre\u003e35.003571246374276203\n\u003c/pre\u003e"}}]}