A tool on a disk moved by a motor is controlled using one push$-$button as follows:

Initially, the tool is at point A$.$

When the push$-$button $($S$)$ is pressed and released, the machine is turned on$.$

When the machine is on$,$ the following tasks are performed in sequence:

The motor moves the tool $3600$ in the clockwise direction and stops the tool at point A for $2$ seconds. This cycle is repeated $3$ times.

The motor moves the tool $3600$ in the counter$-$clockwise direction and stops the tool at point A for $2$ seconds. This cycle is repeated $3$ times.

The machine turns off.

A sensor $($LA$)$ is used to detect the tool at point A$.$

Write the Ladder PLC program.

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