Removal Game (CSES) | Interval DP + Game Strategy | DP on Segments Explained скачать в хорошем качестве

Removal Game (CSES) | Interval DP + Game Strategy | DP on Segments Explained

In this video, we solve the 𝐑𝐞𝐦𝐨𝐯𝐚𝐥 𝐆𝐚𝐦𝐞 from the 𝐂𝐒𝐄𝐒 𝐃𝐲𝐧𝐚𝐦𝐢𝐜 𝐏𝐫𝐨𝐠𝐫𝐚𝐦𝐦𝐢𝐧𝐠 section — a classic problem involving 2-player optimal game strategy using interval DP.⁣⁣ ⁣⁣ You're given an array of numbers, and two players take turns removing either the first or last element. Each player wants to maximize their own score. Your task? Figure out the maximum score the first player can guarantee.⁣⁣ ⁣⁣ 🎯 What you’ll learn:⁣⁣ How to model turn-based 2-player games using DP⁣⁣ Defining a gap-based DP table for interval/range problems⁣⁣ Understanding optimal substructure and min-max choices⁣⁣ How to solve range DP problems in O(n^2)⁣⁣ ⁣⁣ This problem is a foundational piece in mastering 𝐆𝐚𝐦𝐞 𝐓𝐡𝐞𝐨𝐫𝐲 𝐰𝐢𝐭𝐡 𝐃𝐏, and this tutorial is part of our Dynamic Programming Playlist, which spans problems from 𝐂𝐒𝐄𝐒, 𝐀𝐭𝐂𝐨𝐝𝐞𝐫, 𝐂𝐨𝐝𝐞𝐟𝐨𝐫𝐜𝐞𝐬, 𝐋𝐞𝐞𝐭𝐂𝐨𝐝𝐞, 𝐂𝐨𝐝𝐞𝐂𝐡𝐞𝐟, and more — starting from basics to advanced.⁣⁣ ⁣ Problem link : https://cses.fi/problemset/task/1097⁣ ⁣⁣ #RemovalGame #IntervalDP #2PlayerGameDP #CSES #DynamicProgramming