Understanding Game Theory: The Nim Game and Grundy Numbers
Explore the fundamentals of game theory, focusing on the Nim game and the concept of Grundy numbers. This topic stream provides insights and resources for those interested in competitive programming.

Algorithms with Shayan
7.2K views • Jan 29, 2025

About this video
In case you want to support my work:
https://buymeacoffee.com/shayan_jahan
In case you are looking for personal competitive programming training:
https://sites.google.com/view/cp-with-shayan
You can watch all the topic streams in this playlist:
https://www.youtube.com/playlist?list=PLzDmwrrgE-UVnyEtA-_zuffIm3smCO2eA
For further discussion, you can join our community in Telegram:
https://t.me/Competitive_Programming_Shayan
The link to the Codeforces Group:
https://codeforces.com/group/yeVhAfeK6s/contests
Uselful Educational Links:
https://en.wikipedia.org/wiki/Exclusive_or
https://en.wikipedia.org/wiki/Bitwise_operation
https://en.wikipedia.org/wiki/Nim
0:00 Starting the Stream
6:08 What Game Theory is
9:09 The First Problem, Win and Lose States
29:13 Finding Patterns in Win and Lose States, a Pile of Stones
52:34 All about Nim Game
1:02:08 Getting Help from XOR and the proof
1:30:37 Showing on an Example
1:48:11 Generalizing Nim Game
1:54:14 Grundy Numbers
2:15:18 Removing at most 5 stones from each pile
2:20:58 Problem 87C - Interesting Game
2:45:50 Problem 768E - Game of Stones
#coding #codeforces #programming #competitive_programming #learn_programming #learn_coding #code_tutorial #computer_science #computer_tutorial #number_theory #learn_programming_online #binary_search
https://buymeacoffee.com/shayan_jahan
In case you are looking for personal competitive programming training:
https://sites.google.com/view/cp-with-shayan
You can watch all the topic streams in this playlist:
https://www.youtube.com/playlist?list=PLzDmwrrgE-UVnyEtA-_zuffIm3smCO2eA
For further discussion, you can join our community in Telegram:
https://t.me/Competitive_Programming_Shayan
The link to the Codeforces Group:
https://codeforces.com/group/yeVhAfeK6s/contests
Uselful Educational Links:
https://en.wikipedia.org/wiki/Exclusive_or
https://en.wikipedia.org/wiki/Bitwise_operation
https://en.wikipedia.org/wiki/Nim
0:00 Starting the Stream
6:08 What Game Theory is
9:09 The First Problem, Win and Lose States
29:13 Finding Patterns in Win and Lose States, a Pile of Stones
52:34 All about Nim Game
1:02:08 Getting Help from XOR and the proof
1:30:37 Showing on an Example
1:48:11 Generalizing Nim Game
1:54:14 Grundy Numbers
2:15:18 Removing at most 5 stones from each pile
2:20:58 Problem 87C - Interesting Game
2:45:50 Problem 768E - Game of Stones
#coding #codeforces #programming #competitive_programming #learn_programming #learn_coding #code_tutorial #computer_science #computer_tutorial #number_theory #learn_programming_online #binary_search
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Video Information
Views
7.2K
Likes
277
Duration
02:58:50
Published
Jan 29, 2025
User Reviews
4.6
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