Problem 790. Clock Grid

790. Clock Grid

There is a grid of length and width 50515093 populated with a clock in each grid square. The clocks are all analogue showing a single hour hand initially pointing at 12.

$S_t$ is created where:

\begin{aligned} S_{0} & = 290797 \\ S_{t} & = S_{t - 1}^{2} mod 50515093 t > 0 \end{aligned}

$N_t = (S_{4t-4}, S_{4t-3}, S_{4t-2}, S_{4t-1})$ $N_t = (3,9,47,20)$ $3\le x\le 9$ $20\le y\le47$ , and would include 196 clocks.

$t$ $(t > 0)$ $N_t$ $12\rightarrow 1\rightarrow 2\rightarrow \cdots$ .

$C(t)$ $t$ $C(0) = 30621295449583788$ $C(1) = 30613048345941659$ $C(10) = 21808930308198471$ $C(100) = 16190667393984172$ .

$C(10^5)$ .

790. 时钟网格

现有一个长、宽均为 50515093 的网格。每一个小方格里均有一个初始指向 12 点的时钟。

$\{S_t\}$ 满足：

\begin{aligned} S_{0} & = 290797 \\ S_{t} & = S_{t - 1}^{2} mod 50515093 t > 0 \end{aligned}

$N_t = (S_{4t-4}, S_{4t-3}, S_{4t-2}, S_{4t-1})$ $x$ $y$ $N_t = (3,9,47,20)$ $3\le x\le 9$ $20\le y\le47$ 的一部分；这一部分有 196 个时钟。

$t$ $(t > 0)$ $N_t$ $12\rightarrow 1\rightarrow 2\rightarrow \cdots$ 的规则走时 1 小时。

$C(t)$ $t$ $C(0) = 30621295449583788$ $C(1) = 30613048345941659$ $C(10) = 21808930308198471$ $C(100) = 16190667393984172$ 。

$C(10^5)$ 。

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