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- Show that a permutation may only be created by a stack (as in the previous question) if it does not contain the banned triple (a, b, c) such that a b c with c first, a second, and b third (potentially with other intervening integers between c and a and between a and b).You are allowed to operate on a stack WORK and a temporary stack TEMP (ifneeded) supporting their ADT operations of PUSH (S,X), POP (S, X) andEMPTYSTACK (S) only, where X represents an element/variable to be pushed in orpopped out of the stack and S represents a stack. You are also permitted to use onevariable if needed to carry out the operations.i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the minimum element that was pushed into it? You are permitted to use alone variable.ii) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.iii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?Solve the code much needed. Given a stack, a function is_consecutive takes a stack as a parameter and thatreturns whether or not the stack contains a sequence of consecutive integersstarting from the bottom of the stack (returning true if it does, returningfalse if it does not). For example:bottom [3, 4, 5, 6, 7] topThen the call of is_consecutive(s) should return true.bottom [3, 4, 6, 7] topThen the call of is_consecutive(s) should return false.bottom [3, 2, 1] topThe function should return false due to reverse order. Note: There are 2 solutions:first_is_consecutive: it uses a single stack as auxiliary storagesecond_is_consecutive: it uses a single queue as auxiliary storage"""import collections def first_is_consecutive(stack): storage_stack = [] for i in range(len(stack)): first_value = stack.pop() if len(stack) == 0: # Case odd number of values in stack return True second_value = stack.pop() if first_value - second_value != 1: # Not…
- Whereas the unbounded stack has no such limits, could you perhaps elaborate on how this works?Explain the difference between the bound stack and the unbounded stack in more detail, please.Stack A has the entries a, b, c (with a on top). Stack B is empty. An entry popped out of stack A can be printed immediately or pushed to stack B. An entry popped out of the stack B can only be printed. In this arrangement, which of the following permutations of a, b, c are not possible?
- Find out how effectively the stack operates when it is given the opportunity to work in line with its inherent inclinations.You are allowed to operate on a stack WORK and a temporary stack TEMP (ifneeded) supporting their ADT operations of PUSH (S,X), POP (S, X) andEMPTYSTACK (S) only, where X represents an element/variable to be pushed in orpopped out of the stack and S represents a stack. You are also permitted to use one variable if needed to carry out the operations. i) Given n distinct random numbers that are to be pushed into WORK, how canyou find the maximum element that was pushed into it, all the while ensuring thatthe elements stored in WORK are in their descending order with the maximumelement beginning at the bottom of stack? You are permitted to use a lone variableand a temporary stack TEMP.ii) Given an array A[1: n] of distinct random numbers how can you obtain thesorted list in the array, making use of stacks alone?Add remain code and explanation of whole code. Given a stack, a function is_consecutive takes a stack as a parameter and thatreturns whether or not the stack contains a sequence of consecutive integersstarting from the bottom of the stack (returning true if it does, returningfalse if it does not). For example:bottom [3, 4, 5, 6, 7] topThen the call of is_consecutive(s) should return true.bottom [3, 4, 6, 7] topThen the call of is_consecutive(s) should return false.bottom [3, 2, 1] topThe function should return false due to reverse order. Note: There are 2 solutions:first_is_consecutive: it uses a single stack as auxiliary storagesecond_is_consecutive: it uses a single queue as auxiliary storage"""import collections def first_is_consecutive(stack): storage_stack = [] for i in range(len(stack)): first_value = stack.pop() if len(stack) == 0: # Case odd number of values in stack return True second_value = stack.pop() if first_value -…
- Investigate the operational mechanics of the stack in its unaltered state.Given two stacks of textbooks of the followingsubjects 5"Chemistry", "Mathematics", "Biology", "English"6and 5"Biology", "English", "Geography", "Physics"6 respectively, findthe subjects that are (1) only present in the first stack; (2) only present in thesecond stack; (3) present in both stacks. (You may clone the sets to preserve theoriginal sets from being changed by set methods.)Find out how the stack fares when it is free to follow its inclinations.