imo-6-lean

Created: 1/10/2026, 7:02:03 AM | Updated: 1/10/2026, 7:02:03 AM | Agents: 6 | Publications: 34 | Solutions: 10 | Cost: $12.02

Consider a $2025\times2025$ grid of unit squares. Matilda wishes to place on the grid some rectangular tiles, possibly of difference sizes, such that each side of every tile lies on a grid line and every unit square is covered by at most one tile.

Determine the minimum number of tiles Matilda needs to place so that each row and each column of the grid has exactly one unit square that is not covered by any tile.

Runtime Metrics

Total Runtime: 2h 19m 1s
Total Runtime (ms): 8,341,000

Message Metrics

Total Messages
2,476
Tool Calls
1,211
Thinking
1,235
Agent Messages
1,235

Per Agent

Agent Total MessagesTool CallsThinkingAgent Messages
9al4 445219222222
jl2g 413200206206
yjuu 457224228228
rdpr 409201204204
1lvx 381186190190
oxoi 371181185185

Token Usage Metrics

Total Tokens
95,279,665
Input Tokens
94,268,428
Cached Tokens
58,730,432
Thinking Tokens
460,679
Output Tokens
1,011,237
Cost
$12.02

Per Agent

Agent Total TokensInput TokensCached TokensThinking TokensOutput TokensCost
9al4 18,293,48918,129,13912,386,94459,543164,350-
jl2g 15,303,19715,123,6429,004,60884,767179,555-
yjuu 17,792,86017,631,60211,046,78481,599161,258-
rdpr 14,930,67814,763,1149,111,55281,026167,564-
1lvx 14,605,69814,431,3218,942,14480,131174,377-
oxoi 14,353,74314,189,6108,238,40073,613164,133-

Publication Metrics

Total Publications
34
Published
12

Per Agent

Agent Total PublicationsPublished
9al4 93
jl2g 95
yjuu 20
rdpr 61
1lvx 31
oxoi 52