Aggregate Functions: SQL has some built-in functions and they are called as aggregate functions. SQL contains five built-in functions. They are: SUM – This function is used to add values from the particular column. Syntax: SELECT SUM(column_Name) FROM table_Name; COUNT – This is used to count the number of rows for the particular column. Syntax: SELECT COUNT(column_Name) FROM table_Name; MAX – This function is used to get the maximum value from the column. Syntax: SELECT MAX(column_Name) FROM table_Name; MIN – This function is used to get the minimum value from the column. Syntax: SELECT MIN(column_Name) FROM table_Name; AVG – This function is used to get the average of all the values from the column. Syntax: SELECT AVG(column_Name) FROM table_Name; DISTINCT Keyword: “DISTINCT” keyword is used to avoid redundant data (removing duplicate values) from a column. The syntax for “DISTINCT” keyword is as follows: SELECT DISTINCT column_Name FROM table_Name;

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.NET Interactive Solving Sudoku using Grover's Algorithm We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules: •No column may contain the same value twice •No row may contain the same value twice If we assign each square in our sudoku to a variable like so: 1 V V₁ V3 V2 we want our circuit to output a solution to this sudoku. Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the conversion of classical decision problems into oracles for Grover's algorithm. Turning the Problem into a Circuit We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit that…

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Chapter 7, Problem 83P

Program Plan Intro

Aggregate Functions:

SQL has some built-in functions and they are called as aggregate functions. SQL contains five built-in functions. They are:

SUM – This function is used to add values from the particular column.

Syntax: SELECT SUM(column_Name) FROM table_Name;

COUNT – This is used to count the number of rows for the particular column.

Syntax: SELECT COUNT(column_Name) FROM table_Name;

MAX – This function is used to get the maximum value from the column.

Syntax: SELECT MAX(column_Name) FROM table_Name;

MIN – This function is used to get the minimum value from the column.

Syntax: SELECT MIN(column_Name) FROM table_Name;

AVG – This function is used to get the average of all the values from the column.

Syntax: SELECT AVG(column_Name) FROM table_Name;

DISTINCT Keyword: “DISTINCT” keyword is used to avoid redundant data (removing duplicate values) from a column. The syntax for “DISTINCT” keyword is as follows:

SELECT DISTINCT column_Name FROM table_Name;

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.NET Interactive Solving Sudoku using Grover's Algorithm We will now solve a simple problem using Grover's algorithm, for which we do not necessarily know the solution beforehand. Our problem is a 2x2 binary sudoku, which in our case has two simple rules: •No column may contain the same value twice •No row may contain the same value twice If we assign each square in our sudoku to a variable like so: 1 V V₁ V3 V2 we want our circuit to output a solution to this sudoku. Note that, while this approach of using Grover's algorithm to solve this problem is not practical (you can probably find the solution in your head!), the purpose of this example is to demonstrate the conversion of classical decision problems into oracles for Grover's algorithm. Turning the Problem into a Circuit We want to create an oracle that will help us solve this problem, and we will start by creating a circuit that identifies a correct solution, we simply need to create a classical function on a quantum circuit that…

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