Harmonic Overdose

Algebra Level 5

If \[M=\sum_{n=1}^{1728}H_{n}H_{1729-n}\] and \[E=2\sum_{n=1}^{1728}[H_{n}(\frac{1729-n}{n+1})]\] where \[H_{n}=\sum_{n=1}^{n}\frac{1}{n}\]. Find \[\frac{1729M}{E}+\frac{1729E}{M}\]

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