Function trace_centers 

pub fn trace_centers(result: &MappingResult) -> Vec<(usize, usize)>

Trace center locations through gadget transformations.

Returns the final center location for each original vertex after all gadget transformations have been applied.

This matches Julia’s trace_centers function which:

1. Gets initial center locations with (0, 1) offset
2. Applies move_center for each gadget in the tape

Arguments

• result - The mapping result from map_weighted

Returns

A vector of (row, col) positions for each original vertex.