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Yusheng Zhao HW1 Attempts #4

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Yusheng Zhao HW1 Attempts #4

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2 changes: 2 additions & 0 deletions hw1/YushengZhao/p9_16.jl
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# min(b') s.t A' x' + b' = b x'>= 0 and b' >= 0
# trivial solution is x' = 0 and b' = b
2 changes: 2 additions & 0 deletions hw1/YushengZhao/p9_6.jl
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# standard DP problem
# needs $log(v_max)$ bits to describe $v_max$. Exponential time
7 changes: 7 additions & 0 deletions hw1/YushengZhao/p9_7.jl
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# floor division of K rounds some weights to 0, such weights maybe added in correctly to solution
# very roughly
# ϵ ∝ Σ_i floor(v_i / K)
# ϵ ∝ floor(v_i / K) * l
# K ∝ l/ϵ
# but also need to supress v_max to be small, let
# K = v_max * l / ϵ