{"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\u003eConsider two integer sequences \u003cb\u003ef(n) \u003d n!\u003c/b\u003e and \u003cb\u003eg(n) \u003d a\u003csup\u003en\u003c/sup\u003e\u003c/b\u003e, where \u003cb\u003en\u003c/b\u003e is a positive integer. For any integer \u003cb\u003ea \u0026gt; 1\u003c/b\u003e the second sequence is greater than the first for a finite number of values. But starting from some integer \u003cb\u003ek\u003c/b\u003e, \u003cb\u003ef(n)\u003c/b\u003e is greater than \u003cb\u003eg(n)\u003c/b\u003e for all \u003cb\u003en \u0026gt;\u003d k\u003c/b\u003e. You are to find the least positive value of \u003cb\u003en\u003c/b\u003e for which \u003cb\u003ef(n) \u0026gt; g(n)\u003c/b\u003e, for a given positive integer \u003cb\u003ea \u0026gt; 1\u003c/b\u003e.\r\n\r\n\u003c/p\u003e\u003ch3\u003eInput\u003c/h3\u003e\r\n\u003cp\u003eThe first line of the input contains number \u003cb\u003et\u003c/b\u003e – the amount of tests. Then \u003cb\u003et\u003c/b\u003e test descriptions follow. Each test consist of a single number \u003cb\u003ea\u003c/b\u003e.\r\n\r\n\u003c/p\u003e\u003ch3\u003eConstraints\u003c/h3\u003e\r\n\u003cp\u003e1 \u0026lt;\u003d \u003cb\u003et\u003c/b\u003e \u0026lt;\u003d 100000\u003cbr\u003e\r\n2 \u0026lt;\u003d \u003cb\u003ea\u003c/b\u003e \u0026lt;\u003d 10\u003csup\u003e6\u003c/sup\u003e\u003c/p\u003e\r\n\r\n\u003ch3\u003eOutput\u003c/h3\u003e\r\n\u003cp\u003eFor each test print the least positive value of \u003cb\u003en\u003c/b\u003e for which \u003cb\u003ef(n) \u0026gt; g(n)\u003c/b\u003e.\r\n\r\n\u003c/p\u003e\u003ch3\u003eExample\u003c/h3\u003e\r\n\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\u003e3\r\n2\r\n3\r\n4\r\n\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\r\n7\r\n9\r\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e\r\n\n\u003c/div\u003e"}}]}