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A small computer on a smart card has four page frames. At the first clock tick, the $R$ bits are $0111\:\: ($page $0$ is $0,$ the rest are $1).$ At subsequent clock ticks, the values are $1011, 1010, 1101, 0010, 1010, 1100,$ and $0001.$ If the aging algorithm is used with an $8-bit$ counter, give the values of the four counters after the last tick.

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In the $\text{WSClock}$ algorithm of Fig. $3-20(c),$ the hand points to a page with $R = 0.$ If $\tau = 400,$ will this page be removed? What about if $\tau = 1000?$