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ambitious

Compute the total length covered by 1-dimensional segments.

Programming language:

You are given a table `segments` with the following structure:

Each record in this table represents a contiguous segment of a line, from `l` to `r` inclusive. Its length equals `r` − `l`.

Consider the parts of a line covered by the segments. Write an SQL query that returns the total length of all the parts of the line covered by the segments specified in the table `segments`. Please note that any parts of the line that are covered by several overlapping segments should be counted only once.

For example, given:

your query should return 5, as the segments cover the part of the line from 1 to 6.

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