<reponame>bhavinjawade/project-euler-solutions<filename>code/lattice_quadrilaterals/sol_453.py

# -*- coding: utf-8 -*-
'''
    File name: code\lattice_quadrilaterals\sol_453.py
    Author: <NAME>
    Date created: Oct 20, 2018
    Python Version: 3.x
'''

# Solution to Project Euler Problem #453 :: Lattice Quadrilaterals
# 
# For more information see:
# https://projecteuler.net/problem=453

# Problem Statement 
'''
A simple quadrilateral is a polygon that has four distinct vertices, has no straight angles and does not self-intersect.

Let Q(m, n) be the number of simple quadrilaterals whose vertices are lattice points with coordinates (x,y) satisfying 0 ≤ x ≤ m and 0 ≤ y ≤ n.

For example, Q(2, 2) = 94 as can be seen below:

It can also be verified that Q(3, 7) = 39590, Q(12, 3) = 309000 and Q(123, 45) = 70542215894646.

Find Q(12345, 6789) mod 135707531.
'''

# Solution 

# Solution Approach 
'''
'''
