## Constraint logic programming in prolog hanjie puzzle solver – term paper dollar euro exchange rate forecast

Abstract. The purpose of this project was to use constraint logic programming in Prolog to implement a solver for the 2D puzzle, Hanjie. For this purpose we used the clp(FD) library provided by SICStus Prolog 4.2.3, speciﬁcally the sum/3 and automaton/3 combinatorial constraints. The program we developed is able to solve puzzles with dimensions up to 88×88, with only one possible solution, in less than one second usd to sek. When there are multiple solutions, the execution time for the obtaining the ﬁrst solution varies with the number of possible solutions used future. These results show that the execution time of the program is primarily aﬀected by the amount of possible results. While larger grid dimensions do increase the execution time, the increase is linear if the number of possible solutions is maintained.

On the other hand, increasing the number of possible solutions will lead to an exponential growth in execution time.

The goal of this project is to use constraint logic programming in Prolog to develop a logic program capable of solving a decision problem in the form of the 2D puzzle, Hanjie. This puzzle consists of a rectangular grid with ’clues’ on top of every column and to the left of every row that indicate the number and length of gray blocks in that column/row. To achieve this goal, ﬁrst had to be chosen the data structures that would be used to represent the problem. It was decided to use lists of lists, containing the clues for each column/row in every sublist, and a similar structure for the puzzle grid where every sublist is a row of the grid 1 usd to mxn. Every square of the grid can be either a 0 or a 1 where a 0 represents a blank square and 1 represents a gray square. Our……

In my proposal from week two I would want to find the total number of units per patient for each procedure code billed by the doctor. A parallel array consisting of a one-dimensional and a two-dimensional array in this case would be a good way to solve this problem in a simplified code format. An array would also allow all the data the user wants to input to be stored in the program for multiple queries to be run without having to re-input the data. So this module of the program will allow the user to input all the different procedure codes billed the provider and return a units-per-patient statistic for the searched procedure code.

Assuming the data that the user will input is all for the same provider, the following variables will need to be declared: the procedure code, the number of patients, and the number of units billed **pound exchange rate** in pakistani rupees. Two arrays will be declared as well, one for the procedure code and one for the number of patients and units. The procedure code variable and array must be setup with a string data type since there are some procedure codes that have alpha characters. The number of patients and the number of units variables, as well as their corresponding array will be setup as integer data types. Since both of those variables are of the same data type they can be combined…

2. If myAge and yourRate are numeric variables, and departmentName is a string variable, which of the following statements are valid assignments? If a statement is not valid, explain why not.

… correlate into having a rhetorical questions answerable by “yes” and “no” structure exchange rate **usd to aud**. As the plain yes or no and true or false play into scene the chart and figure moves apart as desired answers have certain consequences built. The yes or no and true or false structure will outline two deviating answers to each other that separates each other apart euro forecast. This create the uniqueness in the flow diagram. As this goes, we create a flow diagram, in such we are able to see where the program will lead us.

The advantage of using Pseudocode is that it does not use any syntax or structures within its programming realm. It is easy to understand because it is readable in plain text with the written flow of what needed to be applied in the program that is later applied in the flow diagram live quotes. In so speaking, any layman with no experience in computer programs would be able to read the Pseudocode system….

Abstract. The purpose of this project was to use constraint logic programming in Prolog to implement a solver for the 2D puzzle, Hanjie. For this purpose we used the clp(FD) library provided by SICStus Prolog 4.2.3, speciﬁcally the sum/3 and automaton/3 combinatorial constraints. The program we developed is able to solve puzzles with dimensions up to 88×88, with only one possible solution, in less than one second. When there are multiple solutions, the execution time for the obtaining the ﬁrst solution varies with the number of possible solutions cad to *usd exchange rate* by date. These results show that the execution time of the program is primarily aﬀected by the amount of possible results. While larger grid dimensions do increase the execution time, the increase is linear if the number of possible solutions is maintained. On the other hand, increasing the number of possible solutions will lead to an exponential growth in execution time.

The goal of this project is to use constraint logic programming in Prolog to develop a logic program capable of solving a decision problem in the form of the 2D puzzle, Hanjie. This puzzle consists of a rectangular grid with ’clues’ on top of every column and to the left of every row that indicate the number and length of gray blocks in that column/row. To achieve this goal…

Linear Programming was conceptually developed before World War II by the outstanding Russian mathematician A.N.Kolmogorov and gained its popularity ever since the development of Simplex method by George B *commodity definitions*. Dantzig in 1947. Linear programming deals with problems of maximizing or minimizing a linear function in the presence of linear equality and/or inequality constraints. In these problems, we find the optimal, or most efficient way of using limited resources to achieve the objective of the situation. Linear Programming enables users to model large and complex problems and solve in a short amount of time by the use of effective algorithm, hence it is a powerful and widely used tool in various fields such as science, industrial engineering, financial planning and management decision making. Nowadays, with the development of technology, most of the real world Linear Programming problems are solved by computer programs. Excel Solver is a popular one. We work through different examples to demonstrate the applications of linear Programming model and the use of Excel Solver for various decision making in operation and supply chain management.

To solve the linear programming problems, we first need to formulate the mathematical description called a mathematical model to represent the situation **fx rate cad usd**. Linear programming model usually consists of the following components