LED Light bar

Hello,

So i have a small problem and hopefully you can help.
I have an enclosed led light bar for my car which plugs into the cigarette lighter. It also has the ability to plug into an adapter so that you can control more than one stick at a time. I lost the plug so i only have the cord that runs from the led to the adapter( photographed below). I cut the cord (shown below) and want to know how to wire it into another cigarette plug.
Any ideas?




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