This document discusses two-dimensional arrays in C programming. It describes how to declare and pass two-dimensional arrays, and provides examples of filling and manipulating two-dimensional arrays. It also covers multidimensional arrays with three or more dimensions, and provides an example program to calculate averages from data in a two-dimensional array.
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Techniques to optimize the pagerank algorithm usually fall in two categories. One is to try reducing the work per iteration, and the other is to try reducing the number of iterations. These goals are often at odds with one another. Skipping computation on vertices which have already converged has the potential to save iteration time. Skipping in-identical vertices, with the same in-links, helps reduce duplicate computations and thus could help reduce iteration time. Road networks often have chains which can be short-circuited before pagerank computation to improve performance. Final ranks of chain nodes can be easily calculated. This could reduce both the iteration time, and the number of iterations. If a graph has no dangling nodes, pagerank of each strongly connected component can be computed in topological order. This could help reduce the iteration time, no. of iterations, and also enable multi-iteration concurrency in pagerank computation. The combination of all of the above methods is the STICD algorithm. [sticd] For dynamic graphs, unchanged components whose ranks are unaffected can be skipped altogether.
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1. Computer Science: A Structured Programming Approach Using C 1
8-7 Two-Dimensional Arrays
The arrays we have discussed so far are known as one-
dimensional arrays because the data are organized
linearly in only one direction. Many applications
require that data be stored in more than one
dimension. One common example is a table, which is
an array that consists of rows and columns.
Declaration
Passing A Two-Dimensional Array
Topics discussed in this section:
2. Computer Science: A Structured Programming Approach Using C 2
FIGURE 8-34 Two-dimensional Array
3. Computer Science: A Structured Programming Approach Using C 3
FIGURE 8-35 Array Of Arrays
4. Computer Science: A Structured Programming Approach Using C 4
PROGRAM 8-15 Fill Two-dimensional Array
5. Computer Science: A Structured Programming Approach Using C 5
FIGURE 8-36 Memory Layout
6. Computer Science: A Structured Programming Approach Using C 6
PROGRAM 8-16 Convert Table to One-dimensional Array
7. Computer Science: A Structured Programming Approach Using C 7
PROGRAM 8-16 Convert Table to One-dimensional Array
8. Computer Science: A Structured Programming Approach Using C 8
FIGURE 8-37 Passing a Row
9. Computer Science: A Structured Programming Approach Using C 9
FIGURE 8-38 Calculate Average of Integers in Array
10. Computer Science: A Structured Programming Approach Using C 10
FIGURE 8-39 Example of Filled Matrix
11. Computer Science: A Structured Programming Approach Using C 11
PROGRAM 8-17 Fill Matrix
12. Computer Science: A Structured Programming Approach Using C 12
PROGRAM 8-17 Fill Matrix
13. Computer Science: A Structured Programming Approach Using C 13
8-8 Multidimensional Arrays
Multidimensional arrays can have three, four, or more
dimensions. The first dimension is called a plane,
which consists of rows and columns. The C language
considers the three-dimensional array to be an array
of two-dimensional arrays.
Declaring Multidimensional Arrays
Topics discussed in this section:
14. Computer Science: A Structured Programming Approach Using C 14
FIGURE 8-40 A Three-dimensional Array (3 x 5 x 4)
15. Computer Science: A Structured Programming Approach Using C 15
FIGURE 8-41 C View of Three-dimensional Array
16. Computer Science: A Structured Programming Approach Using C 16
8-9 Programming Example—
Calculate Averages
We previously introduced the programming concept
known as incremental development. In this chapter we
develop an example—calculate average—that contains
many of the programming techniques.
First Increment: mainYour First C
Second Increment: Get Data
Third Increment: Calculate Row Averages
Fourth Increment: Calculate Column Averages
Fifth Increment: Print Tables
Topics discussed in this section:
17. Computer Science: A Structured Programming Approach Using C 17
FIGURE 8-42 Data Structures For Calculate Row–Column Averages
18. Computer Science: A Structured Programming Approach Using C 18
PROGRAM 8-18 Calculate Row and Column Averages: main
19. Computer Science: A Structured Programming Approach Using C 19
PROGRAM 8-19 Calculate Row and Column Averages: Get Data
20. Computer Science: A Structured Programming Approach Using C 20
PROGRAM 8-19 Calculate Row and Column Averages: Get Data
21. Computer Science: A Structured Programming Approach Using C 21
PROGRAM 8-19 Calculate Row and Column Averages: Get Data
22. Computer Science: A Structured Programming Approach Using C 22
PROGRAM 8-19 Calculate Row and Column Averages: Get Data
23. Computer Science: A Structured Programming Approach Using C 23
PROGRAM 8-20 Calculate Row and Column Averages: Row Averages
24. Computer Science: A Structured Programming Approach Using C 24
PROGRAM 8-20 Calculate Row and Column Averages: Row Averages
25. Computer Science: A Structured Programming Approach Using C 25
PROGRAM 8-20 Calculate Row and Column Averages: Row Averages
26. Computer Science: A Structured Programming Approach Using C 26
PROGRAM 8-20 Calculate Row and Column Averages: Row Averages
27. Computer Science: A Structured Programming Approach Using C 27
PROGRAM 8-20 Calculate Row and Column Averages: Row Averages
28. Computer Science: A Structured Programming Approach Using C 28
The efficiency of the bubble sort is O(n2).
Note
29. Computer Science: A Structured Programming Approach Using C 29
The efficiency of the selection sort is O(n2).
Note
30. Computer Science: A Structured Programming Approach Using C 30
The efficiency of the insertion sort is O(n2).
Note
31. Computer Science: A Structured Programming Approach Using C 31
The efficiency of the sequential search is O(n).
Note
32. Computer Science: A Structured Programming Approach Using C 32
The efficiency of the binary search is O(logn).
Note
33. Computer Science: A Structured Programming Approach Using C 33
Table 8-4 Comparison of binary and sequential searches