A wealthy landlord had left his sons an land with water reservoirs, represented as blue squares above.
In his will, it was written that this big piece of land must be divided equally among the brothers with the following conditions:
As an explicit example, the image below demonstrates one attempt to divide the land, though it's still not legal, because of the purple rectangle of remaining on top, thus not satisfying the second condition. (The division here is 19-19-20 with 2 undistributed, i.e. uneven red-yellow-green with purple left over.)
Is it possible to divide the land equally to the brothers, according to the will?
Note
: Each piece of rectangular land may border other pieces of any colors.
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