Скачать или смотреть CSES Distinct Routes | Find All Edge-Disjoint Paths Using Max Flow (Full Explanation)

In this video, we solve the 𝐃𝐢𝐬𝐭𝐢𝐧𝐜𝐭 𝐑𝐨𝐮𝐭𝐞𝐬 𝐩𝐫𝐨𝐛𝐥𝐞𝐦 𝐟𝐫𝐨𝐦 𝐭𝐡𝐞 𝐂𝐒𝐄𝐒 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝐒𝐞𝐭, where we find 𝐦𝐚𝐱𝐢𝐦𝐮𝐦 𝐞𝐝𝐠𝐞-𝐝𝐢𝐬𝐣𝐨𝐢𝐧𝐭 𝐩𝐚𝐭𝐡𝐬 from node 1 to node n using the 𝐌𝐚𝐱 𝐅𝐥𝐨𝐰 𝐚𝐥𝐠𝐨𝐫𝐢𝐭𝐡𝐦.⁣
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🔹 𝐖𝐡𝐚𝐭 𝐲𝐨𝐮’𝐥𝐥 𝐥𝐞𝐚𝐫𝐧:⁣
How to model a “path finding” problem as a flow network⁣
Understanding edge-disjoint paths and their connection to maximum flow⁣
Detailed explanation of Dinic’s Algorithm for Max Flow⁣
How to extract all distinct paths from the residual network after computing max flow⁣
Full C++ implementation walkthrough⁣
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This problem beautifully connects 𝐠𝐫𝐚𝐩𝐡 𝐭𝐫𝐚𝐯𝐞𝐫𝐬𝐚𝐥, 𝐧𝐞𝐭𝐰𝐨𝐫𝐤 𝐟𝐥𝐨𝐰, 𝐚𝐧𝐝 𝐩𝐚𝐭𝐡 𝐝𝐞𝐜𝐨𝐦𝐩𝐨𝐬𝐢𝐭𝐢𝐨𝐧 — all essential for competitive programming and graph theory mastery.⁣
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📚 𝐂𝐨𝐧𝐜𝐞𝐩𝐭𝐬 𝐂𝐨𝐯𝐞𝐫𝐞𝐝:⁣
Flow Networks and Residual Graphs⁣
Edge-disjoint Paths⁣
Dinic’s Algorithm⁣
Path Reconstruction from Flow⁣
CSES Graph Theory⁣
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⁣⁣⁣This is part of my 𝐆𝐫𝐚𝐩𝐡 𝐓𝐡𝐞𝐨𝐫𝐲 𝐒𝐞𝐫𝐢𝐞𝐬, where I cover smart and creative problems that teach you how to build solutions from logic — a key skill in competitive programming 🚀⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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💡 𝐓𝐡𝐢𝐬 𝐯𝐢𝐝𝐞𝐨 𝐰𝐢𝐥𝐥 𝐡𝐞𝐥𝐩 𝐲𝐨𝐮 𝐮𝐧𝐝𝐞𝐫𝐬𝐭𝐚𝐧𝐝 𝐡𝐨𝐰 𝐭𝐨 𝐭𝐡𝐢𝐧𝐤 𝐜𝐨𝐧𝐬𝐭𝐫𝐮𝐜𝐭𝐢𝐯𝐞𝐥𝐲, 𝐛𝐮𝐢𝐥𝐝 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧𝐬 𝐥𝐨𝐠𝐢𝐜𝐚𝐥𝐥𝐲, 𝐚𝐧𝐝 𝐬𝐭𝐫𝐞𝐧𝐠𝐭𝐡𝐞𝐧 𝐲𝐨𝐮𝐫 𝐩𝐫𝐨𝐛𝐥𝐞𝐦-𝐬𝐨𝐥𝐯𝐢𝐧𝐠 𝐦𝐢𝐧𝐝𝐬𝐞𝐭 — 𝐩𝐞𝐫𝐟𝐞𝐜𝐭 𝐟𝐨𝐫 𝐂𝐒𝐄𝐒, 𝐂𝐨𝐝𝐞𝐟𝐨𝐫𝐜𝐞𝐬, 𝐀𝐭𝐂𝐨𝐝𝐞𝐫, 𝐚𝐧𝐝 𝐈𝐂𝐏𝐂 𝐜𝐨𝐧𝐭𝐞𝐬𝐭𝐬.⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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📘𝐍𝐨𝐭𝐞𝐬: ⁣⁣⁣
https://github.com/yash7xm/cp_notes/b...
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𝐂𝐨𝐝𝐞: https://github.com/yash7xm/cses/blob/...
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👉 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝐋𝐢𝐧𝐤:⁣ https://cses.fi/problemset/task/1711/
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🔗 𝐏𝐥𝐚𝐲𝐥𝐢𝐬𝐭:    • Graph Algorithms for Competitive Programmi...  
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⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣💡 𝐏𝐞𝐫𝐟𝐞𝐜𝐭 𝐟𝐨𝐫:⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
Competitive programmers⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
Data structure & algorithms learners⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
Coding interview prep⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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📌 Watch this till the end to fully understand the intuition, not just the code.⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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👉 Whether you’re a beginner or looking to strengthen your logical thinking, this course will help you 𝐭𝐡𝐢𝐧𝐤 𝐥𝐢𝐤𝐞 𝐚 𝐜𝐨𝐦𝐩𝐞𝐭𝐢𝐭𝐢𝐯𝐞 𝐩𝐫𝐨𝐠𝐫𝐚𝐦𝐦𝐞𝐫 𝐚𝐧𝐝 𝐝𝐞𝐬𝐢𝐠𝐧 𝐜𝐨𝐧𝐬𝐭𝐫𝐮𝐜𝐭𝐢𝐯𝐞 𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧𝐬 𝐜𝐨𝐧𝐟𝐢𝐝𝐞𝐧𝐭𝐥𝐲 𝐢𝐧 𝐜𝐨𝐧𝐭𝐞𝐬𝐭𝐬.⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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👋 𝐖𝐞𝐥𝐜𝐨𝐦𝐞 𝐭𝐨 𝐭𝐡𝐞 𝐜𝐡𝐚𝐧𝐧𝐞𝐥!⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
I create content on 𝐂𝐨𝐦𝐩𝐞𝐭𝐢𝐭𝐢𝐯𝐞 𝐏𝐫𝐨𝐠𝐫𝐚𝐦𝐦𝐢𝐧𝐠, 𝐃𝐚𝐭𝐚 𝐒𝐭𝐫𝐮𝐜𝐭𝐮𝐫𝐞𝐬 & 𝐀𝐥𝐠𝐨𝐫𝐢𝐭𝐡𝐦𝐬 (𝐃𝐒𝐀), 𝐚𝐧𝐝 𝐓𝐞𝐜𝐡𝐧𝐢𝐜𝐚𝐥 𝐈𝐧𝐭𝐞𝐫𝐯𝐢𝐞𝐰 𝐏𝐫𝐞𝐩𝐚𝐫𝐚𝐭𝐢𝐨𝐧.⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
If you find this video helpful, don’t forget to:⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
👍 Like the video⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣⁣
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