**Note: **

- w
^{3}= 1 and 1 + w + w^{2}= 0 - It can be easily proved that

1 + w^{n}+ w^{2n}= 3 (n is a multiple of 3)

1 + w^{n}+w^{2n}= 0 (n is an integer, not a multiple of 3)

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