#P1748. Find the nth H-Number

    ID: 15033 Type: Default 1000ms 256MiB

Find the nth H-Number

Find the nth H-Number

An H-Number is defined as a positive integer that has no prime factors other than \(2,\,3,\,5,\,7\). For example, \(630\) is an H-Number while \(22\) is not.

By convention, we assign \(H[1] = 1\). Given an integer \(n\) (\(1 \le n \le 10000\)), output the \(n\)th H-Number. It is guaranteed that the resulting number will fit in 64-bit signed integer.

inputFormat

The input consists of a single integer \(n\), representing the position in the series.

outputFormat

Output the \(n\)th H-Number.

sample

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