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$H D I_{r} = (L i f e E x p I n d)^{1 / 3} * (E d I n d)^{1 / 3} * (G D P I n d)^{1 / 3}$

where

$L i f e E x p I n d = \frac{L I F E E X P_{r} - L I F E X P M I N}{L I F E X P M A X - L I F E X P M I N}$

$E d I n d = (E D Y R S S L E I N D)^{1 / 2} * (E D Y R S A G 25 I N D)^{1 / 2}$

$G D P I n d = \frac{L o g (G D P P C P_{r} * 1000) - L o g (100)}{L o g (40000) - L o g (100)}$

where

$E D Y R S S L E I N D = E D Y R S S L E / E D Y R S S L E M A X$ $E D Y R S A G 25 I N D = E D Y R S A G 25 / E D Y R S A G 25 M A X$

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