Find the remainder when
$$\sum_{r=0}^{2014} \sum_{k=0}^r (-1)^k (k+1)(k+2)\binom{2019}{r-k} $$ is divided by 64.
Find the remainder when
$$\sum_{r=0}^{2014} \sum_{k=0}^r (-1)^k (k+1)(k+2)\binom{2019}{r-k} $$ is divided by 64.
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