{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n #problem-body \u003e 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","sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv id\u003d\"problem-body\"\u003e\n\t\u003cp\u003eTohu wants to enter Moscow State University, and he must pass the math exam. He does not know math, and asks you to help him. The problem is to find the sum \u003cimg src\u003d\"CDN_BASE_URL/a4605f6caf1246ab88d926f57d43c3ca?v\u003d1715460693\" title\u003d\"S_n \u003d a_1 + a_2 + \\ldots + a_n\"\u003e of the sequence \u003cimg src\u003d\"CDN_BASE_URL/3b3e8248f0b4aecec32be92a44c3f5e6?v\u003d1715460693\" title\u003d\"\\left{ a_n \\right}\"\u003e on condition \u003cimg src\u003d\"CDN_BASE_URL/1350f38bf35c9e27af5a7c19a81a62a2?v\u003d1715460693\" title\u003d\"\\forall k \\in \\mathbb{N} : a_1 + 2a_2 + \\ldots + ka_k \u003d \\frac{k+1}{k+2}\"\u003e\u003c/p\u003e\r\n\u003ch3\u003eInput\u003c/h3\u003e\r\n\u003cp\u003eFirst line contains single integer T \u0026lt;\u003d 20000 - the number of test cases.\u003c/p\u003e\r\n\u003cp\u003eEach of the next T lines contains single integer 1 \u0026lt;\u003d n \u0026lt;\u003d 10^9.\u003c/p\u003e\r\n\u003ch3\u003eOutput\u003c/h3\u003e\r\n\u003cp\u003eFor each n output the value \u003cimg src\u003d\"CDN_BASE_URL/2355e10aaf5791b0db35eec67aec1681?v\u003d1715460693\" title\u003d\"S_n\"\u003e with 11 digits after decimal point.\u003c/p\u003e\r\n\u003ch3\u003eExample\u003c/h3\u003e\r\n\u003cdiv\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\u003e2\n2\n5\n\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0.70833333333\n0.73809523810\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e\n\u003c/div\u003e"}}]}