1501
The sum \ Sigma_u \ left \ lfloor qu/p \ right \ rfloor counts the number of lattice points with even x-coordinate in the interior of the triangle ABC in the following diagram : Because each column has an even number of points ( namely q − 1 points ) , the number of such lattice points in the region BCYX is the same modulo 2 as the number of such points in the region CZY : Then by flipping the diagram in both axes , we see that the number of points with even x-coordinate inside CZY is the same as the number of points inside AXY having odd x-coordinates : The conclusion is that where μ is the total number of lattice points in the interior of AYX .
 None
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 None