Don't beat around the bush...

Algebra Level 4

Find the integer part of the sum : \(\sqrt {1 + \frac {1}{{1}^{2}} + \frac {1}{{2}^{2}} } + \sqrt {1 + \frac {1}{{2}^{2}} + \frac {1}{{3}^{2}} } + . . . . . + \sqrt {1 + \frac {1}{{1999}^{2}} + \frac {1}{{2000}^{2}} }\)

Note : This problem is not original.

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