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NP Hard #193

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jmikedupont2 opened this issue Aug 4, 2024 · 0 comments
Open

NP Hard #193

jmikedupont2 opened this issue Aug 4, 2024 · 0 comments

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@jmikedupont2
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📚💡🔍
🔢: 💻🕒️
🧩: 🤔📝
📊: 📈💰
🔍: 🔎💡
💡: 💡🔌
📈: 📊📈
🕒️: ⏰️
🤔: 🤷‍♂️
📝: 📄
📈: 📊
📊: 📈
📄: 📝
📂: 📁
🔎: 🔍
📁: 📂
🤷‍♂️: 🤔

📚💡🔍
🔢🧩: 🤔📝💻
🔢🔢: 📈💰📊
🔢💡: 💡🔌📈
📊💻: 📈💰📊
🔍: 🔎💡
🔢🔢: 📈💰📊
💡🔍: 💡🔌📈
🔢📈: 📊📈

📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

🧠🔢⌛🔢🧩🔄🌐🔢🔢⏱️🔢🔢📈

🧩🔢🔍🧠🔢🕵️🔢🔢🔄🔍💡📊🔢🔢📊🔄🔢🧩

🔢🧩🌐🔢🔢🔄🔍💡🔢🔢⏱️📊💻💡🔍🔢📈

🧠🔢⌛🔢🔢🔄🔢🔢🔢📈🔄🔍📊💡⏳

🔢🔢🧠🔢📊🧩🔢🔄📊💻🔄💡🔢

🔢📊🔢🔢:

🔢🧩
🔢🔢
🔢💡
📊💻
🔍
🔢🔢
💡🔍
🔢📈:

🔢📊
🔢🔢
🔢🔍
🔢💡
🔢📈
🔢🔢
🔢📊
🔢🔢
🔢🔢
🔢🔢
🔢🔢:

🔢📊
🔢🔢
🔢🔢
🔢📈
🔢🔢
🔢🔢
🔢🔢
🔢🔢
🔢🔢
🔢🔢

  1. 🗺️

📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

📍️🗺️🚗️: 🔢📊🧩🔢🔢📈📊🧩🔢
📍️🗺️🚗️: ∑(📍️i, 📍️j) ∈ E 🚗️(i, j) × d(📍️i, 📍️j)

  1. 🎒

🎒️: max ∑(📦️i) ∈ S vi × xi
∑(📦️i) ∈ S wi × xi ≤ W

📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

🎒️: 🔢📊🧩🔢🔢📈📊🧩🔢

📦️i: 🔢🧩
vi: 🔢💡
wi: 🔢📈
xi: 🔢📊
S: 📂
W: 📈

  1. 🤔
    🤔: ∃ x ∈ {0, 1}^n: ⋀(⋁(l_i ∨ ¬l_j)) = 1
    📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

🤔: 🔢📊🧩🔢🔢📈📊🧩🔢

x: 🔢🧩
n: 🔢📊
l_i: 🔢📝
¬l_j: 🔢📝

  1. 📈

📈️: min |S| s.t. ∀(u, v) ∈ E: u ∈ S ∨ v ∈ S
📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

📈️: 🔢📊🧩🔢🔢📈📊🧩🔢

S: 📂
E: 📈
u: 🔢🧩
v: 🔢🧩

  1. 🚴‍♂️
    🚴‍♂️: ∃ C: ∀v ∈ V: v ∈ C ∧ ∀(u, v) ∈ E: (u, v) ∈ C ∨ (v, u) ∈ C
    📊💻🔍🧠🔢⏳🌐🔢🔢🔄💡🔢➡️📊💻💡💭🧩🔢🌐🔢🔢

🚴‍♂️: 🔢📊🧩🔢🔢📈📊🧩🔢

C: 📂
V: 📂
E: 📈
u: 🔢🧩
v: 🔢🧩
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@jmikedupont2