Crop Counts

• Regenerates the level tables and the radius sweep on crop: exact shape crops over the carpet and the sponge.
• The remaining crop.md numbers are pinned by mrlymath::shape tests or derived from the printed lines.
• The designs are code 7 at dim 2 (the carpet, mrlymath::bang::factory::create(7, 3, 2, 2, level)) and code 23 at dim 3 (the sponge, create(23, 3, 3, 2, level)), with level 0 the single filled cell.
• The shapes are mrlymath::shape::named ball and diamond, centered at one half on every axis, classified by mrlymath::shape::census in exact integer arithmetic, no floats anywhere.
• A line prints filled_in and filled_cut, the filled cells fully inside and crossing the boundary, and exposed_after, the exposed unit faces of crop(types, shape, true) - a face counts as exposed when its neighbour is empty or off the grid.
• The level series runs the inscribed radius 1/2 at levels 0..5 in 2D and 0..4 in 3D; the sweep runs radii 1/24 .. 24/24 at carpet level 4 (side 81) and sponge level 3 (side 27).
• Every line asserts the partition and complement identities before printing: the three filled tallies sum to the design's fill, crop at each keep_cut matches its census columns, and the crop and the Shape::Anti crop with the complementary cut rule partition the filled set exactly, both ways.

RUN

• CARGO_BUILD_JOBS=4 cargo run --release -p crop-counts
• Under five seconds; prints only, writes nothing.

WITNESSES

• crop.md the carpet level series: cut cells 1, 8, 28, 76, 204, 580 and the full ball and diamond tables at level 0..5.
• crop.md the sponge level series: cut cells 1, 20, 216, 1224, 7968 and the full ball and diamond tables at level 0..4.
• crop.md the dead zones: carpet crops empty below r = 1/6 for ball and diamond alike, sponge diamond below r = 1/3; the sponge ball sweep is empty through r = 5/24 and first cuts at r = 6/24, the first grid radius past the exact contact sqrt(2)/6.
• crop.md the saturation radii: the carpet ball crop holds all 4096 cells from r = 17/24, the sponge ball crop all 8000 from r = 7/8, and the sponge diamond never saturates in the sweep.
• crop.md the partition and complement identities, asserted on all 118 printed configurations.