| VI UnBalloon Contest Mirror |
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The members of Unballoon gathered at Isa's house after a marathon to celebrate and eat ice cream. Most people wanted to serve their ice cream in cones and then eat them. However, Lucas Sala does not like cones and therefore preferred to serve his ice cream in his water bottle. This caused a great controversy, as some of the marathon runners believed that Sala's bottle could hold more ice cream than a cone, but they were not sure.
Cone with height $$$h$$$ and base radius $$$r$$$, which is also the radius of the semi-sphere. After several calculations with integrals and some crimes against basic physics, the programmers could not reach a conclusion; therefore, you must help them solve this mystery. For this, consider that the ice cream cones are circular base cones. Additionally, the cones will be filled with ice cream uniformly up to their top, where a solid semi-sphere of ice cream with a radius equal to the radius of the cone's base will be placed. Finally, assume that Lucas Sala's bottle is a cylinder, which will also be filled with ice cream uniformly to its top. A solid semi-sphere of ice cream will not be placed in Lucas Sala's bottle.
The first and only line of input contains four integers $$$1 \leq r_L, h_L, r_C, h_C \leq 10^2$$$: the radius of the base of Lucas Sala's bottle, the height of the bottle, the radius of the base of the cone representing his ice cream cone, and its height, respectively. All values are given in centimeters.
If Lucas Sala's bottle can hold a strictly greater volume of ice cream than the cone, print "Injusto". Otherwise, print "Justo".
1 4 1 10
Justo
27 100 45 18
Justo
78 57 60 40
Injusto
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