The lock of a safe consists of five discs each of which features th...

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The lock of a safe consists of five discs each of which features the digits \( 0,1,2, \ldots ., 9 \). The safe can be opened by dialing a special combination of the digits. If the work day lasts math xmlns=http://www.w3.org/1998/Math/MathMLmn13/mn/math hours and so dial one combination of digits takes math xmlns=http://www.w3.org/1998/Math/MathMLmn5/mn/math seconds, then number of days sufficient enough to open the safe, are
 
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