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What is the time complexity of accessing an element of an N dimensional array?
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What is the time complexity for searching an element in an array?
If the array is unsorted, the complexity is O(n) for the worst case. Otherwise O(log n) using binary search.
Differentiate single dimensional array to double dimensional array?
A single dimensional array is an array of items. A two-dimensional array is an array of arrays of items.
What is meant by single array?
A single dimensional array, or one-dimensional array, is a contiguous block of memory that contains one or more elements, each of which can store a single fixed-width value. Since each element is the same length (in bytes), the total memory consumed by the array is equal to the product of the element length and the total number of elements.One-dimensional arrays can be thought of as being a single row or column of numbered pigeon holes (the elements), such that each hole may contain a single object (a value). The numbers identifying each element are a zero-based incremental subscript, or index number. Thus for an array of n elements, the indexes will be in the range 0 to n-1. Some languages permit the first index to be offset from 0 such that the indexes will be in the range offset to offset+n-1, however this does not alter the actual index which is always zero-based.Arrays permit random, constant-time access to any element in the array via the element's index. When accessing an element, the return value is a reference to the first memory address of that element. This is achieved through simple pointer arithmetic, such that element i will be found at memory address (i-1) x (size of element) bytes from the start address of the array (hence the index is always zero-based, regardless of any offset that is applied).The value's stored in the elements must be of the same intrinsic type, but can be variables or constants of any kind, including object references and pointer variables, even pointers to other arrays.Multi-dimensional arrays are merely an extension of one-dimensional arrays, such that each element contains a reference to another one-dimensional array (each element of which may refer to yet another one-dimensional array, and so on). For instance, a two-dimensional array can be thought of as being pigeon holes arranged in rows and columns, such that every row has the same number of columns, and every column has the same number of rows. A three-dimensional array can be thought of as being a cuboid of pigeon holes. Although it's difficult to imagine a four-dimensional array in a three-dimensional space, the easiest way to think of it is as being a one-dimensional array where each element contains a three-dimensional array. More simply, a series of cuboids arranged in a row or a column.Multi-dimensional arrays needn't reside in contiguous memory, however each individual one-dimensional array that makes up a multi-dimensional array must itself reside in contiguous memory.Accessing the individual elements of a multi-dimensional array requires one subscript per dimension. Thus for a cuboid that has 3 rows, 3 columns and 3 tiers, the middle box will be found at zero-based index (1, 1, 1). Again, simple pointer arithmetic is employed to determine the address of the element offset from the starting address of each one-dimensional array.
Columns and rows in c programming?
Do you perhaps mean -- a two-dimensional array? A two dimensional array is nothing more than a one-dimensional array where every element is a one-dimensional array. int matrix[4][5]; C is a row-major language thus the first dimension refers to the number of rows. Here we have declared an array of 4 rows, where each row is an array of 5 elements of type int.
What is meant by irregular dimensional array?
An irregular dimensional array is a special type of multi-dimensional array.First we must understand that a multi-dimensional array is just an array of arrays. Each element in the array is, itself, an array of elements.A regular multi-dimensional array will be an array of size n, with each element containing a separate array of size m. That is, each sub-array has the same size.An irregular multi-dimensional array will be a multi-dimensional array in which each sub-array does not contain the same number of elements.Regular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4, 5}array[2] = new array{6, 7, 8}array[3] = new array{9, 10, 11}This regular array is an array of size 4 in which each sub-array is of size 3.Irregular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4}array[2] = new array{5, 6, 7}array[3] = new array{8, 9, 10, 11}This irregular array is an array of size 4 in which the size of each sub-array is not the same.
When can you use index numbers?
When you are accessing an array's element.
What is time requirement for insert operation one dimensional array state average and worst case time management?
The time-complexity of an insert operation upon an array is O(n-k), where n is the number of elements in the array (such that n>=0), and k is the position where the insertion will occur (such that k<=n). The time-complexity arises due to the need to move the last n-k elements in the array to make room for the new element. Thus inserting at or near the start of the array will take more time than inserting at or near the end of the array. Inserting at the end of an array is a constant-time operation, O(1). However, all of this presumes that the array has one or more unused elements at the end of the array to allow for expansion. If the array is full (no unused elements), the entire array must be re-allocated. For optimal performance, implementations will typically grow an array by increasing the allocation by 50% - 100%, thus time-complexity is said to be amortized rather than finite due to the occasional need to re-allocate. Note that the number of dimensions is immaterial since all arrays are intrinsically one-dimensional. That is; a two-dimensional array is nothing more than a one-dimensional array where every element is itself a one-dimensional array. The length of each element will affect the actual time taken to complete an insertion, however it does not affect the time-complexity.
Why you need to sort an array?
Because in any type of search the element can be found at the last position of your array so time complexity of the program is increased..so if array when sorted easily finds the element within less time complexity than before..
What is a multi array?
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.
What is the time complexity for searching an element in an array?
If the array is unsorted, the complexity is O(n) for the worst case. Otherwise O(log n) using binary search.
Differentiate single dimensional array to double dimensional array?
A single dimensional array is an array of items. A two-dimensional array is an array of arrays of items.
How to search the contents of an array by accessing each element only once?
Sequentially, ie one-by-one.
What an array?
An array is an aggregate of data elements of the same type. Arrays are allocated in contiguous memory. An element of an array can be another array type, also known as a multi-dimensional array.
How 3d arrays are represented in memory?
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.
What is meant by single array?
A single dimensional array, or one-dimensional array, is a contiguous block of memory that contains one or more elements, each of which can store a single fixed-width value. Since each element is the same length (in bytes), the total memory consumed by the array is equal to the product of the element length and the total number of elements.One-dimensional arrays can be thought of as being a single row or column of numbered pigeon holes (the elements), such that each hole may contain a single object (a value). The numbers identifying each element are a zero-based incremental subscript, or index number. Thus for an array of n elements, the indexes will be in the range 0 to n-1. Some languages permit the first index to be offset from 0 such that the indexes will be in the range offset to offset+n-1, however this does not alter the actual index which is always zero-based.Arrays permit random, constant-time access to any element in the array via the element's index. When accessing an element, the return value is a reference to the first memory address of that element. This is achieved through simple pointer arithmetic, such that element i will be found at memory address (i-1) x (size of element) bytes from the start address of the array (hence the index is always zero-based, regardless of any offset that is applied).The value's stored in the elements must be of the same intrinsic type, but can be variables or constants of any kind, including object references and pointer variables, even pointers to other arrays.Multi-dimensional arrays are merely an extension of one-dimensional arrays, such that each element contains a reference to another one-dimensional array (each element of which may refer to yet another one-dimensional array, and so on). For instance, a two-dimensional array can be thought of as being pigeon holes arranged in rows and columns, such that every row has the same number of columns, and every column has the same number of rows. A three-dimensional array can be thought of as being a cuboid of pigeon holes. Although it's difficult to imagine a four-dimensional array in a three-dimensional space, the easiest way to think of it is as being a one-dimensional array where each element contains a three-dimensional array. More simply, a series of cuboids arranged in a row or a column.Multi-dimensional arrays needn't reside in contiguous memory, however each individual one-dimensional array that makes up a multi-dimensional array must itself reside in contiguous memory.Accessing the individual elements of a multi-dimensional array requires one subscript per dimension. Thus for a cuboid that has 3 rows, 3 columns and 3 tiers, the middle box will be found at zero-based index (1, 1, 1). Again, simple pointer arithmetic is employed to determine the address of the element offset from the starting address of each one-dimensional array.
Columns and rows in c programming?
Do you perhaps mean -- a two-dimensional array? A two dimensional array is nothing more than a one-dimensional array where every element is a one-dimensional array. int matrix[4][5]; C is a row-major language thus the first dimension refers to the number of rows. Here we have declared an array of 4 rows, where each row is an array of 5 elements of type int.
What is meant by irregular dimensional array?
An irregular dimensional array is a special type of multi-dimensional array.First we must understand that a multi-dimensional array is just an array of arrays. Each element in the array is, itself, an array of elements.A regular multi-dimensional array will be an array of size n, with each element containing a separate array of size m. That is, each sub-array has the same size.An irregular multi-dimensional array will be a multi-dimensional array in which each sub-array does not contain the same number of elements.Regular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4, 5}array[2] = new array{6, 7, 8}array[3] = new array{9, 10, 11}This regular array is an array of size 4 in which each sub-array is of size 3.Irregular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4}array[2] = new array{5, 6, 7}array[3] = new array{8, 9, 10, 11}This irregular array is an array of size 4 in which the size of each sub-array is not the same.
