CF1466E Apollo versus Pan

\[\begin{align} \sum_{i=1}^{n}\sum_{j=1}^{n}\sum_{k=1}^{n}(x_i \ \operatorname{and}\ x_j)\times(x_j\ \operatorname{or}\ x_k) &= \sum_{i=1}^{n}\sum_{j=1}^{n}(x_i \ \operatorname{and}\ x_j)\times\sum_{k=1}^{n}(x_j\ \operatorname{or}\ x_k) \\ &= \sum_{j=1}^{n}(\sum_{i=1}^{n}x_i \ \operatorname{and}\ x_j)\times(\sum_{k=1}^{n}x_j\ \operatorname{or}\ x_k) \\ \end{align} \]