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The runtime of the sequential algorithm is determined by the triple nested for loop. The computation in line 6 can be done in constant time ( O ( 1 ) {\displaystyle O(1)} ). Therefore, the runtime of the sequential algorithm is O ( n 3 ) {\displaystyle O(n^{3})} .
The code "inside" the loop (the body of the loop, shown below as xxx) is obeyed a specified number of times, or once for each of a collection of items, or until some condition is met, or indefinitely. When one of those items is itself also a loop, it is called a "nested loop". [4] [5] [6]
In computer science, a generator is a routine that can be used to control the iteration behaviour of a loop.All generators are also iterators. [1] A generator is very similar to a function that returns an array, in that a generator has parameters, can be called, and generates a sequence of values.
In computer science, a for-loop or for loop is a control flow statement for specifying iteration. Specifically, a for-loop functions by running a section of code repeatedly until a certain condition has been satisfied. For-loops have two parts: a header and a body. The header defines the iteration and the body is the code executed once per ...
This makes part of the data structure into a ring, causing naive code to loop forever. While most infinite loops can be found by close inspection of the code, there is no general method to determine whether a given program will ever halt or will run forever; this is the undecidability of the halting problem. [8]
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/* precondition: x 2 = 0 */ LOOP x 1 DO x 0 := 0; LOOP x 2 DO x 0 := x 0 + 1 END; x 2 := x 2 + 1 END. This program can be used as a subroutine in other LOOP programs. The LOOP syntax can be extended with the following statement, equivalent to calling the above as a subroutine: x 0 := x 1 ∸ 1 Remark: Again one has to mind the side effects.