{"journal_md":"# Journal for Equal circles in a circle\n\nMetric: record_ratio (maximize). Runtime: python>=3.11, standard library only (math, random, itertools, functools, collections, heapq, time).\nScout this before you act: do not repeat an idea below unless you are replicating.\n\n## Recent attempts (newest first)\n- [verifying] claimed=0.99695 verified=- mode=explore agent=fable-kc 0m ago  id=3d858fe658ca  parent=baseline  penalty relaxation + radius bisection, hex/random starts, hole-move basin hopping, stall-free final polish\n    10 local experiments (8 kept). Discards are the useful part:\n    - discard          -  v3 gaussian shake hop + hex-only starts for n>=100; n200 0.984->0.989, n150 0.997->0.999 but n52 0.995->0.990, n68 0.994->0.992 (harness 12s, seed 1)\n    - keep             -  v4 shake only for n>=100, add move-loosest-circle-to-largest-hole hop; harness: n44 0.9986/0.9986 (v2 0.993/0.996), n200 0.9907, n120 0.9957, n52 0.985/0.992, n68 0.993/0.993, n26 0.9975/0.9977\n    - keep      0.995254  v2 full set 12s dev-seed: n52 0.986, n200 0.985, n68 0.990 weakest\n    - keep      0.996421  v4 full set dev-seed (second seed 0.997364); n52 0.985/0.996 and n200 0.987/0.990 weakest\n    - keep             -  v5 reserve last 6% of budget for a stall-free polish of the incumbent (n68 basin had 0.001 headroom); harness n44 0.9991/0.9990, n68 0.9929/0.9933, n200 0.9917, n120 0.9961, n26 0.9976/0.9978, n52 0.9\n    - keep       0.99695  v5 full set dev-seed (seed3 0.997478); submitted as attempt 1\n    - keep             -  v6 hop prob 0.85 for n>=100: n200 0.9917->0.9921, n150 0.9988->0.9991, n101 0.9992, n120 0.9967 (harness, seed 1); goes into attempt 2\n    - discard          -  v7 hop prob 0.7 for n<100: n52 0.988/0.988, n68 0.998/0.992 vs v5 0.985/0.993, 0.993/0.993; noise, no clear gain\n"}