#C9323. Nth Term of a Sequence

    ID: 53404 Type: Default 1000ms 256MiB

Nth Term of a Sequence

Nth Term of a Sequence

You are given a sequence defined by the formula $$T_n = n^2 + 1$$, where \(n\) is a positive integer (1-indexed). Your task is to compute the \(n\)th term of this sequence.

For example, when \(n=1\), the term is \(1^2+1=2\); when \(n=2\), the term is \(2^2+1=5\); and when \(n=4\), the term is \(4^2+1=17\).

Read the input from stdin and output the result to stdout.

inputFormat

The input consists of a single integer \(n\) (1-indexed), provided via stdin.

outputFormat

Output the \(n\)th term of the sequence as an integer to stdout.

## sample
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