It depends on the size of the array. If you defined the array as 10 x 20 x 30 x 40...
int a[10][20][30][40];
...then the maximum element (coefficient?) number would be 9,19,29,39...
int b = a[9][19][29][39];
A two-dimensional array is the simplest multi-dimensional array and is implemented as a one-dimensional array where every element is itself a one-dimensional array. We can imagine a two-dimensional array as being a table of rows and columns where every row is an array in its own right. A three-dimensional array is simply a one-dimensional array of two-dimensional arrays, which can be imagined as being an array of tables. Extending the concept, a four-dimensional array is a table of tables. Multi-dimensional arrays may be jagged. That is, a two-dimensional array may have rows of unequal length. Unlike regular arrays, jagged arrays cannot be allocated in contiguous memory. Instead, we use the outer array (the first dimension) to store pointers to the inner arrays. An array of strings (character arrays) is an example of a two-dimensional jagged array.
An array is simply a contiguous block of memory containing two or more elements. There are two types of array: a static array which is allocated on the stack at compile time; and a dynamic array which is allocated on the heap at runtime. Both can be one-dimensional or multi-dimensional. A one-dimensional array can be likened to a row (or column) of chessboard squares, with as many squares as required to store all the elements. A multi-dimensional array is any array with two or more dimensions. A two-dimensional array can be likened to the whole chessboard, where any square can be identified by its row and column index. However the dimensions needn't be equal. A two-dimensional array can also be imagined as a one-dimensional array where every element is simply another one-dimensional array. Three-dimensional arrays can be likened to a cube, or as a one-dimensional array of two-dimensional arrays. A four-dimensional array can be linked to a one-dimensional array of three-dimensional arrays, and so on. Although every one-dimensional array must be allocated in contiguous memory, multi-dimensional arrays can be dynamically allocated so that each dimension is itself a separately allocated one-dimensional array of pointers to the next dimension, making it possible to allocate extremely large arrays over a series of smaller allocations rather than as a single contiguous block.
Yes, Java supports multidimensional Arrays.Syntax isint[ ][ ] aryNumbers = new int[x][y];x represents number of rowsy represents number of columns
What is ARRAY, explain its typesARRAY: -It is the combination of same data type or if same data is needed more then none time then we use array.Types Normally there are two types of array.(1) One dimensional array(2) Two dimensional array(1) One dimensional array: -This array is in form a list (vertical\Horizontal) the data input output or process in one dimensional array with the help of loop.The syntax of one dimensional array will be as:Array name [strength]For exampleA [5];The structure of above syntax will be as:A (0)A (1)A (2)A (3)A (4)(2) Two dimensional array: -Two dimensional array is also called a table because it consist of rows and columns. The syntax of two dimensional arrays will be as:Data type array name [rows] [columns]For exampleInt [3] [2];The structure of above syntax will be as:A [0] [0] A [0] [1]A [1] [0] A [1] [1]A [2] [0] A [2] [1]The data input output are process in this array with the help of nested loop.
A two-dimensional array is the simplest multi-dimensional array and is implemented as a one-dimensional array where every element is itself a one-dimensional array. We can imagine a two-dimensional array as being a table of rows and columns where every row is an array in its own right. A three-dimensional array is simply a one-dimensional array of two-dimensional arrays, which can be imagined as being an array of tables. Extending the concept, a four-dimensional array is a table of tables. Multi-dimensional arrays may be jagged. That is, a two-dimensional array may have rows of unequal length. Unlike regular arrays, jagged arrays cannot be allocated in contiguous memory. Instead, we use the outer array (the first dimension) to store pointers to the inner arrays. An array of strings (character arrays) is an example of a two-dimensional jagged array.
int myarray=[5][5]; This snippet of code creates a 5X5 two-dimensional array. You can declare an array with more dimensions, but you shouldn't really need to go above more than four dimensions. Four-dimensional arrays are only used by high-end graphics programs or programs that need to calculate a ton of data.
You can sort an array with any method you want, but there is a built-in qsort function, declared in stdlib.h (see the attached link).bubble sort, quick sort, insertion sort, merge sort, radix sort and lot more..merge sort is the most efficient one..
Arrays allow similar types of data to be stored within a contiguous block of memory such that every data element is accessible in constant time, regardless of its physical location within the array. This is achieved through simple pointer arithmetic treating each element as a memory offset from the start of the array. Since every element is the same length (in bytes), locating any element is simply a matter of calculating its offset from its index. Indices are zero-based thus the third element can be found at index 2. The memory offset for that element is therefore the product of the element size and 2. However, C permits indices to be specified directly, while the pointer arithmetic is done in the background. Thus array_name[2] automatically returns a reference to the third element. Arrays with large and complex variable length data elements need to store those elements separately from the array, usually non-contiguously. This is achieved by using a pointer array. Pointer arrays are particularly useful when sorting extremely large data lists as it is much easier and more efficient to implement a sorting algorithm with an array than it is with a linked list, particularly when constant-time random-access is essential to the algorithm. The time and effort in building the array is generally more than compensated for by the efficiency of the algorithm. Arrays can also be divided and subdivided to better model the data they represent. For instance, a chessboard might be implemented as a one-dimensional array of 64 elements, however it makes more sense to model the chessboard in a two-dimensional array of 8x8 elements. Although the array is still allocated contiguously and can be thought of as being 8 rows and 8 columns, it's actually better to think of this two-dimensional array as being a one-dimensional array of 8 elements, where each element is another one-dimensional array of 8 elements. By thinking this way it makes it possible to allocate extremely large arrays in non-contiguous memory (as completely separate one-dimensional arrays) and also makes comprehension of a four-dimensional array in a three-dimensional world that much easier (unless you actually want to model time and space of course). A four-dimensional array can be thought of in a variety of ways: as being a one dimensional array of three-dimensional arrays, or as a two-dimensional array of two-dimensional arrays, or as a three-dimensional array of one-dimensional arrays, or even as a one-dimensional array of one-dimensional arrays of one-dimensional arrays of one-dimensional arrays. Whichever method you use to imagine your array is immaterial, so long as it makes sense to you that's all that really matters.
All multi-dimensional arrays are represented as arrays of arrays. That is, each element of the array is itself an array. Thus a two-dimensional array can be thought of as being a one-dimensional array where every element is a one-dimensional array. A three-dimensional array is therefore a one-dimensional array of two-dimensional arrays. And so on. The actual memory layout of a multi-dimensional array is no different to that of a one-dimensional array of the same size: int a[12]; int b[3][4]; Assuming a 4-byte int, the amount of memory allocated to a is 12 x 4 = 48 bytes. The array b is essentially an array where each element holds an array of 4 integers, thus each element is 16 bytes in length. Given there are 3 such elements in total, the total size of b is 3 x 16 = 48 bytes, the same as was allocated to a. Although the allocations are exactly the same in terms of size, the layouts differ. The array a is an array of twelve 4-byte elements (of type int) whereas array b is an array of three 16-byte elements, each of which is itself an array of four 4-byte elements (of type int). This changes the way we refer to the individual elements of the array. Every element in an array is referred to by its offset address from the start of the array. This is determined by multiplying its zero-based index by the element size. In the case of a, every element is 4-bytes in length, thus element a[2] refers to the element that is offset 2 x 4 = 8 bytes from the start of the array. But in the case of b, however, b[2] would refer to the 16-byte element that is offset 2 x 16 = 32 bytes from the start of the array. Given that we're actually referring to an element which is itself a 4-element array, we must use a second subscript to refer to the elements of that array. Thus b[2][3] would refer to the integer that is offset 3 x 4 bytes from the start of the array referred to by b[2]. Extending this idea into three-dimensions is simply a matter of taking a third subscript into account.
Any name can be placed in an array, be it a primitive name or an object name, even a function pointer. Four examples of common objects that may be placed in an array include any object defined in the STL (standard template library), which includes vectors, lists, iterators and maps. All are self-explanatory, although a vector is simply an array implemented as an object. Therefore an array of vectors is nothing more than an array of arrays (effectively a multi-dimensional array). However, vectors are the "correct" way of implementing arrays in C++ (unless you specifically wish to use C-style code in your C++ projects), thus a multi-dimensional array is best implemented as a vector of vectors.
A one-dimensional array is simply a series of values. int a[10]; // A series of 10 integers. Multi-dimensional arrays are the same, there's just more series involved. A two-dimensional array is simply a series of one-dimensional arrays. int b[10][10]; // 10 elements of 10 integers each. A two-dimensional array is easiest to imagine as a chessboard or a sudoku grid or graph paper, with width and depth: int sudoku[9][9]; // A 9*9 grid. Elements of a 2 dimensional array are accessed by rank and file, or column and row, or X and Y coordinates, whichever is appropriate. int x = sudoku[3][5]; // Access the value at row 3, column 5. 2 dimensional arrays needn't be square, they can be rectangular: int y = rectangle[5][10]; // Array of 5 elements with 10 values each. A three-dimensional array is akin to a cuboid, or multiple chessboards stacked on top of each other. Each "cell" is accessed 3 dimensionally, via width, depth and height, or X, Y and Z coordinates. int cuboid[100][20][10; int X=4,Y=5,Z=7; int f=cuboid[X][Y][Z]; A four-dimensional array is very much like a one-dimensional array, except each element is now a three-dimensional cuboid. Five dimensions is like a chessboard, where each square is now cuboid, and 6 dimensions is a cuboid where each cell is a cuboid. And so on. A case of divide and subdivide.
The Four-Dimensional Nightmare was created in 1963.