# Merging and Sorting Two Unsorted Stacks

Given 2 input stacks with elements in an unsorted manner. Problem is to merge them into a new final stack, such that the elements become arranged in a sorted manner.

Examples:

```Input :  s1 : 9 4 2 1
s2: 8 17 3 10
Output : final stack: 1 2 3 4 8 9 10 17

Input :  s1 : 5 7 2 6 4
s2 : 12 9 3
Output : final stack: 2 3 4 5 6 7 9 12
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Create an empty stack to store result. We first insert elements of both stacks into the result. Then we sort the result stack.

 `// C++ program to merge to unsorted stacks ` `// into a third stack in sorted way. ` `#include ` `using` `namespace` `std; ` ` `  `// Sorts input stack and returns sorted stack. ` `stack<``int``> sortStack(stack<``int``>& input) ` `{ ` `    ``stack<``int``> tmpStack; ` ` `  `    ``while` `(!input.empty()) { ` `        ``// pop out the first element ` `        ``int` `tmp = input.top(); ` `        ``input.pop(); ` ` `  `        ``// while temporary stack is not empty and top ` `        ``// of stack is greater than temp ` `        ``while` `(!tmpStack.empty() && tmpStack.top() > tmp) { ` ` `  `            ``// pop from temporary stack and push ` `            ``// it to the input stack ` `            ``input.push(tmpStack.top()); ` `            ``tmpStack.pop(); ` `        ``} ` ` `  `        ``// push temp in tempory of stack ` `        ``tmpStack.push(tmp); ` `    ``} ` ` `  `    ``return` `tmpStack; ` `} ` ` `  `stack<``int``> sortedMerge(stack<``int``>& s1, stack<``int``>& s2) ` `{ ` `    ``// Push contents of both stacks in result ` `    ``stack<``int``> res; ` `    ``while` `(!s1.empty()) { ` `        ``res.push(s1.top()); ` `        ``s1.pop(); ` `    ``} ` `    ``while` `(!s2.empty()) { ` `        ``res.push(s2.top()); ` `        ``s2.pop(); ` `    ``} ` ` `  `    ``// Sort the result stack. ` `    ``return` `sortStack(res); ` `} ` ` `  `// main function ` `int` `main() ` `{ ` `    ``stack<``int``> s1, s2; ` `    ``s1.push(34); ` `    ``s1.push(3); ` `    ``s1.push(31); ` ` `  `    ``s2.push(1); ` `    ``s2.push(12); ` `    ``s2.push(23); ` ` `  `    ``// This is the temporary stack ` `    ``stack<``int``> tmpStack = sortedMerge(s1, s2); ` `    ``cout << ``"Sorted and merged stack :\n"``; ` ` `  `    ``while` `(!tmpStack.empty()) { ` `        ``cout << tmpStack.top() << ``" "``; ` `        ``tmpStack.pop(); ` `    ``} ` `} `

 `// Java program to merge to unsorted stacks ` `// into a third stack in sorted way. ` `import` `java.io.*; ` `import` `java.util.*; ` ` `  `public` `class` `GFG { ` `     `  `    ``// This is the temporary stack ` `    ``static` `Stack res = ``new` `Stack(); ` `    ``static` `Stack tmpStack = ``new` `Stack(); ` `     `  `    ``// Sorts input stack and returns  ` `    ``// sorted stack. ` `    ``static` `void` `sortStack(Stack input) ` `    ``{ ` `        ``while` `(input.size() != ``0``)  ` `        ``{ ` `            ``// pop out the first element ` `            ``int` `tmp = input.peek(); ` `            ``input.pop(); ` `     `  `            ``// while temporary stack is not empty and ` `            ``// top of stack is greater than temp ` `            ``while` `(tmpStack.size() != ``0` `&& ` `                            ``tmpStack.peek() > tmp) ` `            ``{ ` `     `  `                ``// pop from temporary stack and push ` `                ``// it to the input stack ` `                ``input.push(tmpStack.peek()); ` `                ``tmpStack.pop(); ` `            ``} ` `     `  `            ``// push temp in tempory of stack ` `            ``tmpStack.push(tmp); ` `        ``} ` `    ``} ` `     `  `    ``static` `void` `sortedMerge(Stack s1, ` `                                ``Stack s2) ` `    ``{ ` `        ``// Push contents of both stacks in result ` `        ``while` `(s1.size() != ``0``) { ` `            ``res.push(s1.peek()); ` `            ``s1.pop(); ` `        ``} ` `         `  `        ``while` `(s2.size() != ``0``) { ` `            ``res.push(s2.peek()); ` `            ``s2.pop(); ` `        ``} ` `     `  `        ``// Sort the result stack. ` `        ``sortStack(res); ` `    ``} ` `     `  `    ``// main function ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` `        ``Stack s1 = ``new` `Stack(); ` `        ``Stack s2 = ``new` `Stack(); ` `        ``s1.push(``34``); ` `        ``s1.push(``3``); ` `        ``s1.push(``31``); ` `     `  `        ``s2.push(``1``); ` `        ``s2.push(``12``); ` `        ``s2.push(``23``); ` `     `  `        ``sortedMerge(s1, s2); ` `        ``System.out.println(``"Sorted and merged stack :"``); ` `     `  `        ``while` `(tmpStack.size() != ``0``) { ` `            ``System.out.print(tmpStack.peek() + ``" "``); ` `            ``tmpStack.pop(); ` `        ``} ` `    ``} ` `} ` ` `  `// This code is contributed by Manish Shaw ` `// (manishshaw1) `

 `// C# program to merge to unsorted stacks ` `// into a third stack in sorted way. ` `using` `System; ` `using` `System.Collections.Generic; ` ` `  `class` `GFG { ` `     `  `    ``// Sorts input stack and returns  ` `    ``// sorted stack. ` `    ``static` `Stack<``int``> sortStack(``ref` `Stack<``int``> input) ` `    ``{ ` `        ``Stack<``int``> tmpStack = ``new` `Stack<``int``>(); ` `     `  `        ``while` `(input.Count != 0)  ` `        ``{ ` `            ``// pop out the first element ` `            ``int` `tmp = input.Peek(); ` `            ``input.Pop(); ` `     `  `            ``// while temporary stack is not empty and ` `            ``// top of stack is greater than temp ` `            ``while` `(tmpStack.Count != 0 && ` `                              ``tmpStack.Peek() > tmp) ` `            ``{ ` `     `  `                ``// pop from temporary stack and push ` `                ``// it to the input stack ` `                ``input.Push(tmpStack.Peek()); ` `                ``tmpStack.Pop(); ` `            ``} ` `     `  `            ``// push temp in tempory of stack ` `            ``tmpStack.Push(tmp); ` `        ``} ` `     `  `        ``return` `tmpStack; ` `    ``} ` `     `  `    ``static` `Stack<``int``> sortedMerge(``ref` `Stack<``int``> s1, ` `                                  ``ref` `Stack<``int``> s2) ` `    ``{ ` `        ``// Push contents of both stacks in result ` `        ``Stack<``int``> res = ``new` `Stack<``int``>(); ` `        ``while` `(s1.Count!=0) { ` `            ``res.Push(s1.Peek()); ` `            ``s1.Pop(); ` `        ``} ` `        ``while` `(s2.Count!=0) { ` `            ``res.Push(s2.Peek()); ` `            ``s2.Pop(); ` `        ``} ` `     `  `        ``// Sort the result stack. ` `        ``return` `sortStack(``ref` `res); ` `    ``} ` `     `  `    ``// main function ` `    ``static` `void` `Main() ` `    ``{ ` `        ``Stack<``int``> s1 = ``new` `Stack<``int``>(); ` `        ``Stack<``int``> s2 = ``new` `Stack<``int``>(); ` `        ``s1.Push(34); ` `        ``s1.Push(3); ` `        ``s1.Push(31); ` `     `  `        ``s2.Push(1); ` `        ``s2.Push(12); ` `        ``s2.Push(23); ` `     `  `        ``// This is the temporary stack ` `        ``Stack<``int``> tmpStack = ``new` `Stack<``int``>(); ` `        ``tmpStack = sortedMerge(``ref` `s1,``ref` `s2); ` `        ``Console.Write(``"Sorted and merged stack :\n"``); ` `     `  `        ``while` `(tmpStack.Count!=0) { ` `            ``Console.Write(tmpStack.Peek() + ``" "``); ` `            ``tmpStack.Pop(); ` `        ``} ` `    ``} ` `} ` ` `  `// This code is contributed by Manish Shaw ` `// (manishshaw1) `

Output:
```Sorted and merged stack :
34 31 23 12 3 1
```

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Improved By : manishshaw1

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