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The model does the work, not the code. The inference code should be generic autoregressive decoding that would work with any transformer checkpoint. If your generation loop contains addition-specific logic — manually pairing digits, threading carry state, indexing into specific positions — then the Python code is solving the problem, not the model.

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Dithering in its simplest form can be understood by observing what happens when we quantise an image with and without modifying the source by random perturbation. In the examples below, a gradient of 256 grey levels is quantised to just black and white. Note how the dithered gradient is able to simulate a smooth transition from start to end.

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