Based on Figure 1, write a program to sort the stack using recursion to get the order from Figure 1(a) to Figure 1(b). Your program should print the stack before and after sorting. Provide the output. -8 30 14 16 16 14 -15 -8 30 -15 (a) (b) Figure 1: Stack elements (a) before sorting, (b) after sorting
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- Convert the following infix notation to its postfix notation. You must show the stack contents in your simulation. (5+ x!=d)==|{(3!=e*6) && (1==5/5} != 4 -51 Priority: */,% (high) t, = I= && (low)Pseudocodes can be written using the operations PUSH(S,X), POP(S,X), PRINT(X), EMPTY STACK(S), and TOP OF STACK(S), which returns the top element of stack S. i) assign X to the bottom element of stack S, leaving the stack empty;ii) assign X to the bottom element of the stack, leaving the stack unchanged;iii) assign X to the nth element in the stack (from the top), leaving the stack unchanged.For the following pseudo-code of a recursive program mod that computes a modb given a, b as inputs, trace the stack contents during the execution of the callmod (23, 7). procedure mod (a, b) if (a < b) then mod := a else { x := a − b 1 : mod( , ) 1 1 y = x b mod:= 1 y } end mod
- Write a Python program to reverse a stack using recursion.The stack is a helpful data structure for various computer problems, as demonstrated by the c#bprogramme. We begin with the rightmost digits and move leftward when changing a decimal number into another format. The converted digits are in the right sequence after we're done, so pushing each digit up the stack as we go works properly.The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other. Two queens are said to attack each other if they are placed on the same row, same column or if they are diagonally placed. Given the value of ‘n’ as input, write a recursive in C++ procedure with an external stack to find all solutions to place them on a n x n board such that they do not attack each other.
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- Convert the following infix notation to its postfix notation. Show the stack contents in the simulation. Must show all the steps s % 6 == [{g>= 7 + (2+f-c)-3*k} && (9-h <= 4)] || (5/2 < a)Suppose you have a stack with a maximum size of 1000 elements and you want to perform the following operations: Push 500 elements onto the stack. Pop 200 elements from the stack. Push 800 elements onto the stack. Pop all remaining elements from the stack. What is the final size of the stack after performing all these operations?Write a program in c or c++ to implement a Stack using array. In order to implement the stack, programfor following stack operations has to be written: • void push(int): to insert data onto the stack.• Int pop(): to remove and return the last inserted element from the stack.• Int top(): Returns the last inserted element without removing it.• int Size(): Returns the number of elements stored in the stack.• int IsEmptyStack(): Indicates whether any elements are stored in the stack or not.• int IsFullStack(): Indicates whether the stack is full or not.