Mastering the 9 Stone Game: Strategies for Unary and Binary Player Moves

Feb 06, 2026

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Discover the exciting 9 Stone Game where players alternate picking stones numbered 1-9. The objective? Create any subset of 3 stones that sum up to 15 to win! This game can enhance strategic thinking and problem-solving skills. Delve into its origins, tracing back to ancient China during Emperor Yu's reign, and explore the fascinating link between numeric play and history. Learn the rules, strategies, and discover how to master moves in both unary and binary forms to outsmart your opponent.

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9 stone game
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ancient china
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Mastering the 9 Stone Game: Strategies for Unary and Binary Player Moves

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Relational Algebra Unary and Binary Operators Lecture 2

Relational Algebra Unary and Binary Operators Lecture 2. Instructor: Haya sammaneh. What is an “Algebra”. Mathematical system consisting of: Operands --- variables or values Operators --- symbols denoting procedures. Core Relational Algebra. Unary Operations:

1.08k views • 37 slides

Unary, Binary, and Beyond

Unary, Binary, and Beyond. X n – 1 . 1 + X 1 + X 2 + X 3 + … + X n-2 + X n-1 =. X - 1. We will soon need this fundamental sum: The Geometric Series. A Frequently Arising Calculation. ( X - 1 ) ( 1 + X 1 + X 2 + X 3 + … + X n-2 + X n-1 )

1.29k views • 111 slides

Binary and Hex

Binary and Hex. How to count like a computer. Why Binary?. The basic unit of storage in a computer is the bit (binary digit), which can have one of just two values: 0 or 1. This is easier to implement in hardware than a unit that can take on 10 different values.

1.22k views • 11 slides

Unary, Binary, logical Operations, Explicit type conversion Lecture 6 Instructor: Haya Sammaneh

Unary, Binary, logical Operations, Explicit type conversion Lecture 6 Instructor: Haya Sammaneh. Increment & Decrement Operators. Increment operator, ++ x++  is equivalent to x = x + 1 Decrement operator, -- y--  is equivalent to y = y – 1.

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Trees, Binary Trees, and Binary Search Trees

COMP171. Trees, Binary Trees, and Binary Search Trees. Trees. Linear access time of linked lists is prohibitive Does there exist any simple data structure for which the running time of most operations (search, insert, delete) is O(log N)? Trees Basic concepts Tree traversal Binary tree

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Binary Lesson 4 Hexadecimal and Binary Practice

Binary Lesson 4 Hexadecimal and Binary Practice. Counting to 15. Base Base Base 16 Base Base Base 16 Two Ten (Hex) Two Ten (Hex) 0 0 0 1000 8 8 1 1 1 1001 9 9 10 2 2 1010 10 A 11 3 3 1011 11 B

567 views • 17 slides

Unary Query Processing Operators

Unary Query Processing Operators. Not in the Textbook!. A “Slice” Thru Query Processing. Query Optimization and Execution. Relational Operators. Files and Access Methods. Buffer Management. Disk Space Management. DB. We’ll study single- table queries today SQL details

346 views • 22 slides

Unary Query Processing Operators

Unary Query Processing Operators. Not in the Textbook!. Query Optimization and Execution. Relational Operators. Files and Access Methods. Buffer Management. Disk Space Management. DB. A “Slice” Through Query Processing. We’ll study single- table queries today SQL details

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Unary Not operator !

Unary Not operator !. !true = false !false = true. Example. if (( interMarks > 45) && ( testMarks >= passMarks )) { cout << “ Welcome to Lahore University”; } . Nested if. If (age > 18) { If(height > 5) { : } } Make a flowchart of this nested if structure….

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Binary Lesson 4 Hexadecimal and Binary Practice

Binary Lesson 4 Hexadecimal and Binary Practice. Modified 2-10-11 for IPv6. Counting to 15. Base Base Base 16 Base Base Base 16 Two Ten (Hex) Two Ten (Hex) 0 0 0 1000 8 8 1 1 1 1001 9 9 10 2 2 1010 10 A

331 views • 17 slides

Unary, Binary, and Beyond

Unary, Binary, and Beyond. X n – 1. 1 + X 1 + X 2 + X 3 + … + X n-2 + X n-1 =. X - 1. We are going to need this fundamental sum: The Geometric Series. A Frequently Arising Calculation. ( X -1 ) ( 1 + X 1 + X 2 + X 3 + … + X n-2 + X n-1 )

1.27k views • 110 slides

Unary and Binary

Unary and Binary. Your Ancient Heritage Let’s take a historical view on abstract representations. Mathematical Prehistory: 30,000 BC. Paleolithic peoples in Europe record unary numbers on bones. 1 represented by 1 mark 2 represented by 2 marks 3 represented by 3 marks

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Binary

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Overloading Unary Operators

Overloading Unary Operators. // timeinc.cpp // uses overloaded ++ operator to increment objects // of class time #include <iostream.h> // for cout, etc. #include <stdio.h> // for printf( ), scanf( )

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Binary Trees and Binary Search Trees

Binary Trees and Binary Search Trees. Based on Dale & Co: Object-Oriented Data Structures using C++ (graphics). Binary Tree. A binary tree is a structure in which: Each node can have at most two children, and in which a unique path exists from the root to every other node.

663 views • 39 slides

Unary Relationships

Unary Relationships. On the Job. Is this a legitimate design? Do you see problems with it?. The Family. Is this a legitimate design? Do you see problems with it?. Complicated Relationships Among People*. Workers have supervisors, who also have supervisors

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Binary

Binary. Negative Integers. Negative Integers. Sign and magnitude One’s complement Two’s complement Binary Coded Decimal (BCD). Sign and Magnitude. The method used in decimal to represent negative numbers is sign and magnitude. - 25 Sign Magnitude/value

501 views • 34 slides

Trees, Binary Trees, and Binary Search Trees

Trees, Binary Trees, and Binary Search Trees. Trees. Linear access time of linked lists is prohibitive Does there exist any simple data structure for which the running time of most operations (search, insert, delete) is O(log N)? Trees Basic concepts Tree traversal Binary tree

662 views • 58 slides

Unary Query Processing Operators

Unary Query Processing Operators. CS 186, Spring 2006 Background for Homework 2. Query Optimization and Execution. Relational Operators. Files and Access Methods. Buffer Management. Disk Space Management. DB. Context. We looked at SQL Now shift gears and look at Query Processing.

226 views • 18 slides

Unary, Binary, and Beyond

Unary, Binary, and Beyond. Last time we talked about unary notation. n th Triangular Number.  n = 1 + 2 + 3 + . . . + n-1 + n = n(n+1)/2. n th Square Number.  n = 1 + 3 + … + 2n-1 = Sum of first n odd numbers. n th Square Number.  n =  n +  n-1

870 views • 85 slides

Unary Query Processing Operators

241 views • 22 slides

Unary and Binary

1.09k views • 104 slides

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