Minkowski Bower constant

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Problem

Print the Minkowski-Bower constant to 1000 places.
https://mathworld.wolfram.com/Minkowski-BowerConstant.html

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Sample input:_

*NOTHING*

Sample output:

0.4203723394232230756409930066462218739491898666006118712916546646865533708859790803557439056039283364944319015583521970161886129544450058688215284421749595496418776080435816964350817131993448295774123690344957845481465108128826132226938718193514405852460828159552460570631303596385907285980073214618662413517471286304943518793527067612784983406128901455198915133532292008313671561928004518686957719137007108937195388701537191368835184203707603925469252625076965256106429364235412232373417704499854694049850945713069883691545993605959025754403115693803103684579419243854712927902676036727362365668401956969516599178091023698115197247201552140688865576898038723525919759595081703890251306292315100209968690818685998068134772423424659241010702842237903439780990501668504946990871134323633368805513793422441546809345826220027272315951860900852163459536741985406665699843748954911337550804754383063690903877014781063374495845461830801170037769418576543835765769884512015581620173675184281590695466149172596

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