Let $x_1, x_2$ $\_\_\_\_$ $x_{100}$ be in an arithmetic progression, with $x_1=2$ and their mean equal to 200 . If $y_i=i\left(x_i-i\right), 1 \leq i \leq 100$, then the mean of $y_1, y_2, \ldots \ldots \ldots \ldots ., y_{100}$ is
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