Dafsade
350+ Star Club
Hi everybody !
I have realized a funny fact (funny for people who likes (loves ?) mathematics !
One 3x3 building takes exactly twice more place than one 2x2 building !
Indeed, it works only for building which requires a road.
Because 2x(2x2 + 1) = 3x3+1
=> 2 buildings 2x2 with 1 road = 1 building 3x3 with one road.
I found this fact absolutely surprising !
So, the equation to solve is 2(X.X+1) = Y.Y+1
Of course, there is an infinity of solutions.
What we are looking for is only integer solutions ! There is an infinity too, but I did a little calculation and my results is : for x (integer) from 0 to 200 000 there are only 7 Solutions (integer) !
Conclusion : we are really lucky that our case is a solution of this problem ! Because it allows us to make easy calculations. Indeed, we can say that one 3x3 building is equals to 2 2x2 buildings !
No, i am not crazy guys !
I have realized a funny fact (funny for people who likes (loves ?) mathematics !
One 3x3 building takes exactly twice more place than one 2x2 building !
Indeed, it works only for building which requires a road.
Because 2x(2x2 + 1) = 3x3+1
=> 2 buildings 2x2 with 1 road = 1 building 3x3 with one road.
I found this fact absolutely surprising !
So, the equation to solve is 2(X.X+1) = Y.Y+1
Of course, there is an infinity of solutions.
What we are looking for is only integer solutions ! There is an infinity too, but I did a little calculation and my results is : for x (integer) from 0 to 200 000 there are only 7 Solutions (integer) !
Conclusion : we are really lucky that our case is a solution of this problem ! Because it allows us to make easy calculations. Indeed, we can say that one 3x3 building is equals to 2 2x2 buildings !
No, i am not crazy guys !