{"trustable":true,"sections":[{"title":"","value":{"format":"MD","content":"Rimi learned a new thing about integers, which is - any positive integer greater than **1** can be divided by its divisors. She is playing with this property now in the form of a game.\n\nShe first selects a number **N**. She then randomly chooses a divisor of **N** **(1 to N)** and divides **N** by the number to obtain a new **N**. She repeats this procedure until **N** becomes **1**. What is the expected number of turns required for Rimi to end the game - meaning **N** becomes **1**?"}},{"title":"Input","value":{"format":"MD","content":"Input starts with an integer **T (\u0026le; 10000)**, denoting the number of test cases.\n\nEach case begins with an integer **N (1 \u0026le; N \u0026le; 10\u003csup\u003e5\u003c/sup\u003e)**."}},{"title":"Output","value":{"format":"MD","content":"For each case of input you have to print the case number and the expected value. Errors less than **10\u003csup\u003e-6\u003c/sup\u003e** will be ignored."}},{"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\u003e3\n1\n2\n50\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003eCase 1: 0\nCase 2: 2.0\nCase 3: 3.0333333333\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}}]}