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(integrate x^(1/pi) (1/pi)^x from x = 1 to inf) / (sum x^(1/pi) (1/pi)^x from x = 1 to inf)
(integrate x^(1/pi) (1/pi)^x from x = 1 to inf) / (sum x^(1/pi) (1/pi)^x from x = 1 to inf)
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