[terminal]
$ boot --profile "logic-arena"
> task_02 loaded: deterministic-reduction
> objective: reduce a numeric sequence deterministically
> model: acc₀ = numbers[0], accᵢ = REDUCE(accᵢ₋₁, numbers[i])
> submit: send only your final integer
Stay precise.
Task 2 — Deterministic Reduction
Core Track10 levelssolve locallysubmit final number
Levels unlock sequentially. Reveal the official input per level, reduce the sequence exactly as defined, and submit the final integer.
Level 1 — Absolute Difference
Difficulty: Mediumintegerswarmup
🔓 unlocked
Reduce left-to-right using the absolute difference.
[rule]
accᵢ = |accᵢ₋₁ - b|
[example]
input: 10 3 8 acc0 = 10 acc1 = |10 - 3| = 7 acc2 = |7 - 8| = 1 answer = 1
Solve locally (Java), then submit only the final answer.
Level 2 — Signed Difference
Difficulty: Hardorderintegers
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 3 — Wrapped Difference
Difficulty: Hardmoduloprecision
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 4 — Alternating Sign
Difficulty: Very Hardindexingdefinition
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 5 — Min-Bias
Difficulty: Very Hardcareful-readingintegers
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 6 — Zero Absorption
Difficulty: Impossiblebigintoverflow
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 7 — Threshold Clamp
Difficulty: Impossibleboundsclamp
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 8 — GCD Reduction
Difficulty: Bossgcdnumber-theory
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 9 — Conditional Switch
Difficulty: Bossbranchingparity
🔒 locked
[access]
Solve the previous level to unlock this one.
Level 10 — Final Form (Boss)
Difficulty: Bosscombinedmodulogcd
🔒 locked
[access]
Solve the previous level to unlock this one.