AMC 10A 2016 Problem 14

How many ways are there to write 2016 as the sum of twos and threes, ignoring order? (For example, 1008 \cdot 2+0 \cdot 3 and 402 \cdot 2+404 \cdot 3 are two such ways.)

Answer Choices
A. 236
B. 336
C. 337
D. 403
E. 672