3 ms·

Thanks for all the answers. It's starting to make sense. I'm relieved to see it's not an easy problem. If it helps, it's an elliptical machine I was thinking

Thanks for all the answers. It's starting to make sense. I'm relieved to see it's not an easy problem. If it helps, it's an elliptical machine I was thinking of buying (I was using a rectangular box shape as an abstraction.) I'm not sure how easily it can be disassembled. The dimensions are 22" x 57" x 66" and the hallway is 31" in the first corridor and 32" in the next, with a height of 82".

NoBSWebDesign 17y ago
Yeah, this is one of those edge cases where it doesn't satisfy the string test from above, but there is still a chance it could fit. sqrt[ (57/2)^2 + 22^2 ] = 36", which is greater than 31"
niyazpk 17y ago
According to the condition I previously provided, (sqrt(x^2+y^2) - l/2) should be greater than or equal to b for the box to fit through. Here let us take h=66 since it will fit only that way in the corridor. x = 31, y = 32 b = 22, l = 57, h =66 So (sqrt(x^2+y^2) - l/2) = 44.55 - 28.5 = 16.05 Now 16.05 is less than b(=22), so the box will not fit through.