[ { "id": "openrouter-1", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Overlapping congruences" }, "start": "2026-10-22T20:36:16.947Z", "elapsedMs": 12019, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"1443001\"}", "usage": { "prompt_tokens": 262, "completion_tokens": 1497, "total_tokens": 1759, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 1019, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-2", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Lattice paths avoiding checkpoints" }, "start": "2026-10-22T20:36:29.011Z", "elapsedMs": 6947, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from math import comb\\nS=(0,0); T=(30,25)\\nA=(10,8); B=(19,16); C=(25,20)\\ndef paths(p,q):\\n dx=q[0]-p[0]; dy=q[1]-p[1]\\n if dx<0 or dy<0: return 0\\n return comb(dx+dy, dx)\\ntotal=paths(S,T)\\npA=paths(S,A)*paths(A,T)\\npB=paths(S,B)*paths(B,T)\\npC=paths(S,C)*paths(C,T)\\npAB=paths(S,A)*paths(A,B)*paths(B,T)\\npAC=paths(S,A)*paths(A,C)*paths(C,T)\\npBC=paths(S,B)*paths(B,C)*paths(C,T)\\npABC=paths(S,A)*paths(A,B)*paths(B,C)*paths(C,T)\\navoid=total-pA-pB-pC+pAB+pAC+pBC-pABC\\nprint(total)\\nprint(pA)\\nprint(pB)\\nprint(pC)\\nprint(pAB)\\nprint(pAC)\\nprint(pBC)\\nprint(pABC)\\nprint(avoid)\"}", "usage": { "prompt_tokens": 259, "completion_tokens": 1038, "total_tokens": 1297, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 635, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-3", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Lattice paths avoiding checkpoints" }, "start": "2026-10-22T20:36:37.873Z", "elapsedMs": 11211, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"1438068941208240\"}", "usage": { "prompt_tokens": 584, "completion_tokens": 1521, "total_tokens": 2105, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 1072, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-4", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Bounded excursions with returns" }, "start": "2026-10-22T20:36:49.124Z", "elapsedMs": 3845, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from collections import defaultdict\\n\\n# dp[(pos, zeros)] = count after processed steps\\n# zeros counts returns to 0 after a step (not initial)\\ndp = {(0,0): 1}\\nfor step in range(36):\\n ndp = defaultdict(int)\\n for (pos, z), cnt in dp.items():\\n for d in (-1,1):\\n np = pos + d\\n if 0 <= np <= 5:\\n nz = z + (1 if np == 0 else 0)\\n if nz <= 4:\\n ndp[(np, nz)] += cnt\\n dp = ndp\\n\\nans = dp.get((0,4), 0)\\nprint(ans)\\n\"}]}", "usage": { "prompt_tokens": 272, "completion_tokens": 520, "total_tokens": 792, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 339, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-5", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Conditional composition of a sample" }, "start": "2026-10-22T20:36:52.996Z", "elapsedMs": 2481, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from math import comb\\nnum=comb(8,3)*(comb(7,2)*comb(6,4)+comb(7,3)*comb(6,3)+comb(7,4)*comb(6,2))\\nden=comb(21,9)\\nprint(num)\\nprint(den)\\nprint(num/den)\\nfrom fractions import Fraction\\nprint(Fraction(num,den))\\n\"}", "usage": { "prompt_tokens": 261, "completion_tokens": 340, "total_tokens": 601, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 195, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-6", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Conditional composition of a sample" }, "start": "2026-10-22T20:36:56.903Z", "elapsedMs": 6148, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"1232/4199\"}", "usage": { "prompt_tokens": 388, "completion_tokens": 521, "total_tokens": 909, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 382, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-7", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Overlapping biased-coin pattern" }, "start": "2026-10-22T20:37:03.064Z", "elapsedMs": 28072, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"303/16\"}", "usage": { "prompt_tokens": 258, "completion_tokens": 3964, "total_tokens": 4222, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 2666, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-8", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Signed recurrence and modular sum" }, "start": "2026-10-22T20:37:31.169Z", "elapsedMs": 2295, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"MOD=1000000007\\nT=[0,2,3,5]\\nfor n in range(3,5001):\\n T.append((2*T[n-1]-T[n-2]+3*T[n-3])%MOD)\\nprint(sum(T[:5001])%MOD)\"}", "usage": { "prompt_tokens": 278, "completion_tokens": 172, "total_tokens": 450, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 80, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-9", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Signed recurrence and modular sum" }, "start": "2026-10-22T20:37:34.958Z", "elapsedMs": 2913, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"564933794\"}", "usage": { "prompt_tokens": 366, "completion_tokens": 104, "total_tokens": 470, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 97, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-10", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Structured integer determinant" }, "start": "2026-10-22T20:37:37.913Z", "elapsedMs": 1479, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"import sympy as sp\\nA = [[((17*i+11*j+3*i*j) % 19)-9 + (20 if i==j else 0) for j in range(7)] for i in range(7)]\\nprint(A)\\nprint(sp.Matrix(A).det())\"}", "usage": { "prompt_tokens": 287, "completion_tokens": 165, "total_tokens": 452, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 90, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-11", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Structured integer determinant" }, "start": "2026-10-22T20:37:40.737Z", "elapsedMs": 4156, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"M = [[((17*i+11*j+3*i*j) % 19)-9 + (20 if i==j else 0) for j in range(7)] for i in range(7)]\\nn = 7\\nA = [row[:] for row in M]\\nsign = 1\\nprev = 1\\nfor k in range(n-1):\\n if A[k][k] == 0:\\n for r in range(k+1, n):\\n if A[r][k] != 0:\\n A[k], A[r] = A[r], A[k]\\n sign = -sign\\n break\\n for i in range(k+1, n):\\n for j in range(k+1, n):\\n A[i][j] = (A[i][j]*A[k][k] - A[i][k]*A[k][j]) // prev\\n A[i][k] = 0\\n prev = A[k][k]\\ndet = sign * A[n-1][n-1]\\nprint(det)\"}", "usage": { "prompt_tokens": 587, "completion_tokens": 524, "total_tokens": 1111, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 243, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-12", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Structured integer determinant" }, "start": "2026-10-22T20:37:46.111Z", "elapsedMs": 2239, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"M = [[((17*i+11*j+3*i*j) % 19)-9 + (20 if i==j else 0) for j in range(7)] for i in range(7)]\\nimport itertools\\nn=7\\ndet=0\\nfor p in itertools.permutations(range(n)):\\n sign=1\\n p=list(p)\\n for i in range(n):\\n for j in range(i+1,n):\\n if p[i]>p[j]: sign=-sign\\n prod=sign\\n for i in range(n): prod*=M[i][p[i]]\\n det+=prod\\nprint(det)\"}", "usage": { "prompt_tokens": 844, "completion_tokens": 361, "total_tokens": 1205, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 202, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-13", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Structured integer determinant" }, "start": "2026-10-22T20:37:49.641Z", "elapsedMs": 809, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"1251100400\"}", "usage": { "prompt_tokens": 1009, "completion_tokens": 22, "total_tokens": 1031, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 9, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-14", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Surjections with even fibers" }, "start": "2026-10-22T20:37:50.462Z", "elapsedMs": 12562, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"681080400\"}", "usage": { "prompt_tokens": 245, "completion_tokens": 1546, "total_tokens": 1791, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 1257, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-15", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:03.061Z", "elapsedMs": 1273, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from itertools import combinations\\nprint(sum(1 for c in combinations(range(1,36),12) if sum(c)==210))\"}", "usage": { "prompt_tokens": 241, "completion_tokens": 114, "total_tokens": 355, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 90, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-16", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:26.668Z", "elapsedMs": 3402, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from collections import defaultdict\\nN=35\\nK=12\\nS=210\\n# dp[size][sum] = count\\n dp=[[0]*(S+1) for _ in range(K+1)]\\ndp[0][0]=1\\nfor x in range(1,N+1):\\n for k in range(K,0,-1):\\n row=dp[k]; prev=dp[k-1]\\n for s in range(S-x,-1,-1):\\n if prev[s]:\\n row[s+x]+=prev[s]\\nprint(dp[K][S])\"}", "usage": { "prompt_tokens": 297, "completion_tokens": 277, "total_tokens": 574, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 146, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-17", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:31.629Z", "elapsedMs": 902, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from collections import defaultdict\\nN=35\\nK=12\\nS=210\\ndp=[[0]*(S+1) for _ in range(K+1)]\\ndp[0][0]=1\\nfor x in range(1,N+1):\\n for k in range(K,0,-1):\\n row=dp[k]\\n prev=dp[k-1]\\n for s in range(S-x,-1,-1):\\n if prev[s]:\\n row[s+x]+=prev[s]\\nprint(dp[K][S])\"}", "usage": { "prompt_tokens": 617, "completion_tokens": 131, "total_tokens": 748, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 4, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-18", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:33.984Z", "elapsedMs": 2856, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from itertools import combinations\\n# sanity check DP against brute force on small case\\nN=10;K=3;S=15\\ndp=[[0]*(S+1) for _ in range(K+1)]\\ndp[0][0]=1\\nfor x in range(1,N+1):\\n for k in range(K,0,-1):\\n row=dp[k]; prev=dp[k-1]\\n for s in range(S-x,-1,-1):\\n if prev[s]:\\n row[s+x]+=prev[s]\\nbrute=sum(1 for c in combinations(range(1,N+1),K) if sum(c)==S)\\nprint(dp[K][S], brute)\\n\\n# also check total counts\\nprint(sum(sum(r) for r in dp[3]))\\nfrom math import comb\\nprint(comb(10,3))\\n\"}", "usage": { "prompt_tokens": 758, "completion_tokens": 462, "total_tokens": 1220, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 232, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-19", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:38.135Z", "elapsedMs": 1531, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from itertools import combinations\\nfrom math import comb\\nN=10;K=3;S=15\\ndp=[[0]*(S+1) for _ in range(K+1)]\\ndp[0][0]=1\\nfor x in range(1,N+1):\\n for k in range(K,0,-1):\\n row=dp[k]; prev=dp[k-1]\\n for s in range(S-x,-1,-1):\\n if prev[s]:\\n row[s+x]+=prev[s]\\nbrute=sum(1 for c in combinations(range(1,N+1),K) if sum(c)==S)\\nprint('dp',dp[K][S],'brute',brute)\\nprint('total dp',sum(sum(r) for r in dp))\\nprint('total comb',comb(N,K))\\n\"}", "usage": { "prompt_tokens": 1103, "completion_tokens": 226, "total_tokens": 1329, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 30, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-20", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Constrained subset sum" }, "start": "2026-10-22T20:38:40.940Z", "elapsedMs": 2161, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"11165046\"}", "usage": { "prompt_tokens": 1318, "completion_tokens": 267, "total_tokens": 1585, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 229, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-21", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Spanning trees after deleting a matching" }, "start": "2026-10-22T20:38:43.114Z", "elapsedMs": 3788, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"import sympy as sp\\nn=9\\nidx={}\\nverts=[]\\nfor x in ['a0','a1','a2','a3','b0','b1','b2','b3','b4']:\\n idx[x]=len(verts); verts.append(x)\\nM=sp.zeros(n,n)\\nfor a in range(4):\\n for b in range(5):\\n if a==b: continue\\n i=idx[f'a{a}']; j=idx[f'b{b}']\\n M[i,j]=1; M[j,i]=1\\n# Laplacian\nL=sp.zeros(n,n)\\nfor i in range(n):\\n deg=sum(M[i,j] for j in range(n) if i!=j)\\n L[i,i]=deg\\n for j in range(n):\\n if i!=j and M[i,j]:\\n L[i,j]=-1\\nT=sp.Matrix(L).minor(0,0).det()\\nprint(T)\\nprint(int(T))\\n\"}", "usage": { "prompt_tokens": 273, "completion_tokens": 390, "total_tokens": 663, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 163, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-22", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Rotational equivalence with fixed weight" }, "start": "2026-10-22T20:38:46.922Z", "elapsedMs": 7211, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from math import comb\\nn=24\\nk=10\\nfixed=comb(n,k)\\nfor r in range(n):\\n import math\\n d=math.gcd(n,r)\\n m=n//d\\n if m and k%m==0:\\n fixed += comb(d,k//m)\\nprint((fixed)/n)\"}", "usage": { "prompt_tokens": 246, "completion_tokens": 971, "total_tokens": 1217, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 723, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-23", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Rotational equivalence with fixed weight" }, "start": "2026-10-22T20:38:55.404Z", "elapsedMs": 2047, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from math import comb,gcd\\nn=24;k=10\\ns=0\\nfor r in range(n):\\n d=gcd(n,r); L=n//d\\n if k%L==0:\\n s+=comb(d,k//L)\\nprint(s)\\nprint(s/n)\"}", "usage": { "prompt_tokens": 344, "completion_tokens": 335, "total_tokens": 679, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 236, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-24", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Rotational equivalence with fixed weight" }, "start": "2026-10-22T20:38:58.821Z", "elapsedMs": 4062, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"81752\"}", "usage": { "prompt_tokens": 435, "completion_tokens": 629, "total_tokens": 1064, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 462, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-25", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Coupled digit constraints" }, "start": "2026-10-22T20:39:02.898Z", "elapsedMs": 10040, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"python\",\"code\":\"from collections import defaultdict\\n\\ndp = defaultdict(int)\\nfor d in range(1,10):\\n dp[(d, d%7, 0, d%37, 1, 0)] += 1\\n\\nfor pos in range(1,18):\\n ndp = defaultdict(int)\\n for (last, sm, bidx, bval, blen, total), cnt in dp.items():\\n for d in range(10):\\n if d == last:\\n continue\\n nsm = (sm + d) % 7\\n nblen = blen + 1\\n nval = (bval * 10 + d) % 37\\n ntotal = total\\n if nblen == 6:\\n ntotal = (ntotal + nval) % 37\\n nblen = 0\\n nval = 0\\n ndp[(d, nsm, bidx + 1, nval, nblen, ntotal)] += cnt\\n dp = ndp\\n\\nans = 0\\nfor (last, sm, bidx, bval, blen, total), cnt in dp.items():\\n if blen == 0 and total == 0 and sm == 0:\\n ans += cnt\\n\\nprint(ans)\\n\"}", "usage": { "prompt_tokens": 250, "completion_tokens": 1463, "total_tokens": 1713, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 1036, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-26", "context": { "provider": "openrouter", "mode": "tools", "suite": "math", "task": "Coupled digit constraints" }, "start": "2026-10-22T20:39:19.535Z", "elapsedMs": 1256, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"answer\",\"answer\":\"579534435384407\"}", "usage": { "prompt_tokens": 567, "completion_tokens": 157, "total_tokens": 724, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 170, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-27", "context": { "provider": "openrouter", "mode": "tools", "suite": "coding", "task": "Dependency build planner" }, "start": "2026-10-22T20:39:20.811Z", "elapsedMs": 396, "status": 200, "returnedModel": 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"completion_tokens": 27, "total_tokens": 393, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 18, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-29", "context": { "provider": "openrouter", "mode": "tools", "suite": "coding", "task": "Dependency build planner" }, "start": "2026-10-22T20:39:21.525Z", "elapsedMs": 275, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"read\",\"path\":\"solution.js\"}", "usage": { "prompt_tokens": 406, "completion_tokens": 11, "total_tokens": 417, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, 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Array.isArray(rawDependencies) ? rawDependencies : [];\\n const unique = [...new Set(dependencies)];\\n uniqueDependencies.set(name, unique);\\n indegree.set(name, unique.length);\\n\\n for (const dependency of unique) {\\n if (!dependents.has(dependency)) {\\n dependents.set(dependency, []);\\n }\\n dependents.get(dependency).push(name);\\n }\\n }\\n\\n const ready = names\\n .filter(name => indegree.get(name) === 0)\\n .sort(compare);\\n const result = [];\\n\\n while (ready.length > 0) {\\n const current = ready.shift();\\n result.push(current);\\n\\n const dependentList = dependents.get(current) || [];\\n for (const dependent of dependentList) {\\n const remaining = indegree.get(dependent) - 1;\\n indegree.set(dependent, remaining);\\n if (remaining === 0) {\\n ready.push(dependent);\\n }\\n }\\n\\n ready.sort(compare);\\n }\\n\\n if (result.length !== names.length) {\\n return null;\\n }\\n\\n return result;\\n};\\n\"}", "usage": { "prompt_tokens": 454, "completion_tokens": 3054, "total_tokens": 3508, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 3170, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-31", "context": { "provider": "openrouter", "mode": "tools", "suite": "coding", "task": "Dependency build planner" }, "start": "2026-10-22T20:39:44.350Z", "elapsedMs": 3688, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"write\",\"path\":\"solution.js\",\"content\":\"const { order } = require(\\\"./graph.js\\\");\\n\\nexports.solve = payload => {\\n const result = order(payload.graph);\\n if (result === null) {\\n return { error: \\\"cycle\\\" };\\n }\\n return { order: result };\\n};\\n\"}", "usage": { "prompt_tokens": 843, "completion_tokens": 658, "total_tokens": 1501, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 734, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-32", "context": { "provider": "openrouter", "mode": "tools", "suite": "coding", "task": "Dependency build planner" }, "start": "2026-10-22T20:39:48.044Z", "elapsedMs": 13071, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 8192, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"submit\"}", "usage": { "prompt_tokens": 934, "completion_tokens": 1942, "total_tokens": 2876, "cost": 0, "is_byok": false, "prompt_tokens_details": { 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1381, "completion_tokens": 32768, "total_tokens": 34149, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 21329, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "openrouter-38", "context": { "provider": "openrouter", "mode": "tools", "suite": "coding", "diagnostic": "expanded-budget", "task": "Dependency build planner" }, "start": "2026-10-22T20:42:08.650Z", "elapsedMs": 1340, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"list\"}", "usage": { "prompt_tokens": 344, "completion_tokens": 34, "total_tokens": 378, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, 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"temperature": 0, "finishReason": "stop", "content": "{\"action\":\"submit\"}", "usage": { "prompt_tokens": 876, "completion_tokens": 3183, "total_tokens": 4059, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 3766, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-23", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Versioned document event reducer" }, "start": "2026-10-22T20:58:40.263Z", "elapsedMs": 670, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"list\"}", "usage": { "prompt_tokens": 379, "completion_tokens": 29, 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"upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 0, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-26", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Versioned document event reducer" }, "start": "2026-10-22T20:58:43.108Z", "elapsedMs": 37915, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"write\",\"path\":\"events.js\",\"content\":\"exports.reduce = events => {\\n const lastAccepted = new Map();\\n const live = new Map();\\n const versions = new Map();\\n\\n for (const event of events) {\\n const last = lastAccepted.has(event.doc) ? lastAccepted.get(event.doc) : -1;\\n if (event.version > last) {\\n lastAccepted.set(event.doc, event.version);\\n versions.set(event.doc, event.version);\\n if (event.type === \\\"set\\\") {\\n 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document event reducer" }, "start": "2026-10-22T20:59:21.035Z", "elapsedMs": 4268, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"submit\"}", "usage": { "prompt_tokens": 784, "completion_tokens": 650, "total_tokens": 1434, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 846, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-29", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Exact CSV sales totals" }, "start": "2026-10-22T20:59:25.880Z", "elapsedMs": 2615, "status": 200, "returnedModel": "recursive/flint-v1.0:free", 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"video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 0, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-33", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Markdown outline with stable anchors" }, "start": "2026-10-22T20:59:30.296Z", "elapsedMs": 160511, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"write\",\"path\":\"outline.py\",\"content\":\"import re\\n\\n_HEADING_RE = re.compile(r\\\"^(#{1,6}) +(.+)$\\\")\\n\\ndef _slugify(title):\\n slug = re.sub(r\\\"[^a-z0-9]+\\\", \\\"-\\\", title.lower()).strip(\\\"-\\\")\\n return slug or \\\"section\\\"\\n\\ndef _fence_info(line):\\n if not line:\\n return None\\n ch = line[0]\\n if ch not in \\\"`~\\\":\\n return None\\n n = 0\\n while n < len(line) and line[n] == ch:\\n n += 1\\n if n < 3:\\n return None\\n return (ch, n, line[n:])\\n\\ndef _is_closing(line, char, length):\\n if not line or line[0] != char:\\n return False\\n n = 0\\n while n < len(line) and line[n] == char:\\n n += 1\\n if n < length:\\n return False\\n rest = line[n:]\\n return all(c == \\\" \\\" for c in rest)\\n\\ndef headings(documents):\\n result = []\\n for filename in sorted(documents):\\n used = set()\\n fence_char = None\\n fence_length = 0\\n text = documents[filename]\\n lines = text.splitlines()\\n for line in lines:\\n if fence_char is not None:\\n if _is_closing(line, fence_char, fence_length):\\n fence_char = None\\n fence_length = 0\\n continue\\n info = _fence_info(line)\\n if info is not None:\\n fence_char = info[0]\\n fence_length = info[1]\\n continue\\n m = _HEADING_RE.match(line)\\n if not m:\\n continue\\n level = len(m.group(1))\\n title = m.group(2).strip(\\\" \\\")\\n if not title:\\n continue\\n base = _slugify(title)\\n slug = base\\n counter = 1\\n while slug in used:\\n slug = f\\\"{base}-{counter}\\\"\\n counter += 1\\n used.add(slug)\\n result.append({\\n \\\"file\\\": filename,\\n \\\"level\\\": level,\\n \\\"title\\\": title,\\n \\\"slug\\\": slug,\\n })\\n return result\\n\"}", "usage": { "prompt_tokens": 551, "completion_tokens": 21984, "total_tokens": 22535, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 21752, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-34", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Nested configuration validation" }, "start": "2026-10-22T20:59:53.250Z", 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"total_tokens": 467, "cost": 0, "is_byok": false, "prompt_tokens_details": { "cached_tokens": 0, "cache_write_tokens": 0, "audio_tokens": 0, "video_tokens": 0 }, "cost_details": { "upstream_inference_cost": 0, "upstream_inference_prompt_cost": 0, "upstream_inference_completions_cost": 0 }, "completion_tokens_details": { "reasoning_tokens": 0, "image_tokens": 0, "audio_tokens": 0 } }, "error": null }, { "id": "kilo-37", "context": { "provider": "kilo", "mode": "tools", "suite": "coding", "diagnostic": "remaining-task-coverage", "task": "Nested configuration validation" }, "start": "2026-10-22T20:59:58.906Z", "elapsedMs": 54727, "status": 200, "returnedModel": "recursive/flint-v1.0:free", "maxTokens": 32768, "temperature": 0, "finishReason": "stop", "content": "{\"action\":\"write\",\"path\":\"validator.py\",\"content\":\"def _lookup(value, path):\\n current = value\\n for part in path.split(\\\".\\\"):\\n if not isinstance(current, dict):\\n return False, None\\n if part not in current:\\n return False, None\\n current = current[part]\\n return True, current\\n\\n\\ndef _matches(value, expected):\\n if expected == \\\"string\\\":\\n return isinstance(value, str)\\n if expected == \\\"integer\\\":\\n return isinstance(value, int) and not isinstance(value, bool)\\n if expected == \\\"boolean\\\":\\n return isinstance(value, bool)\\n if expected == \\\"object\\\":\\n return isinstance(value, dict)\\n if expected == \\\"array\\\":\\n return isinstance(value, list)\\n return False\\n\\n\\ndef validate(schema, config):\\n errors = []\\n if not isinstance(schema, dict):\\n return {\\\"valid\\\": True, \\\"errors\\\": []}\\n for path, rule in schema.items():\\n if not isinstance(rule, dict):\\n continue\\n expected = rule.get(\\\"type\\\")\\n required = bool(rule.get(\\\"required\\\", False))\\n present, value = _lookup(config, path)\\n if not present:\\n if required:\\n errors.append(f\\\"missing:{path}\\\")\\n continue\\n if not _matches(value, expected):\\n 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