{"id":26940,"date":"2017-12-28T22:02:35","date_gmt":"2017-12-28T16:32:35","guid":{"rendered":"https:\/\/www.wikitechy.com\/technology\/?p=26940"},"modified":"2017-12-28T22:02:35","modified_gmt":"2017-12-28T16:32:35","slug":"java-algorithm-implement-two-stacks-array","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/technology\/java-algorithm-implement-two-stacks-array\/","title":{"rendered":"Java Algorithm – Implement two stacks in an array"},"content":{"rendered":"

Create a data structure twoStacks <\/em>that represents two stacks. Implementation of twoStacks <\/em>should use only one array, i.e., both stacks should use the same array for storing elements. Following functions must be supported by twoStacks<\/em>.<\/span><\/p>\n

push1(int x) \u2013> pushes x to first stack
\npush2(int x) \u2013> pushes x to second stack<\/p>\n

pop1() \u2013> pops an element from first stack and return the popped element
\npop2() \u2013> pops an element from second stack and return the popped element<\/p>\n

Implementation of twoStack <\/em>should be space efficient.<\/p>\n[ad type=”banner”]\n

Method 1 (Divide the space in two halves)<\/strong>
\nA simple way to implement two stacks is to divide the array in two halves and assign the half half space to two stacks, i.e., use arr[0] to arr[n\/2] for stack1, and arr[n\/2+1] to arr[n-1] for stack2 where arr[] is the array to be used to implement two stacks and size of array be n.<\/p>\n

The problem with this method is inefficient use of array space. A stack push operation may result in stack overflow even if there is space available in arr[]. For example, say the array size is 6 and we push 3 elements to stack1 and do not push anything to second stack2. When we push 4th element to stack1, there will be overflow even if we have space for 3 more elements in array.<\/p>\n

Method 2 (A space efficient implementation)<\/strong>
\nThis method efficiently utilizes the available space. It doesn\u2019t cause an overflow if there is space available in arr[]. The idea is to start two stacks from two extreme corners of arr[]. stack1 starts from the leftmost element, the first element in stack1 is pushed at index 0. The stack2 starts from the rightmost corner, the first element in stack2 is pushed at index (n-1). Both stacks grow (or shrink) in opposite direction. To check for overflow, all we need to check is for space between top elements of both stacks. This check is highlighted in the below code.<\/p>\n[ad type=”banner”]\n

Java Programming:<\/strong><\/p>\n

<\/div> 
\/\/ Java program to implement two stacks in a\/\/ single arrayclass TwoStacks{    int size;    int top1, top2;    int arr[];     \/\/ Constructor    TwoStacks(int n)    {        arr = new int[n];        size = n;        top1 = -1;        top2 = size;    }     \/\/ Method to push an element x to stack1    void push1(int x)    {        \/\/ There is at least one empty space for        \/\/ new element        if (top1 < top2 - 1)        {            top1++;            arr[top1] = x;        }        else        {            System.out.println("Stack Overflow");            System.exit(1);        }    }     \/\/ Method to push an element x to stack2    void push2(int x)    {        \/\/ There is at least one empty space for        \/\/ new element        if (top1 < top2 -1)        {            top2--;            arr[top2] = x;        }        else        {            System.out.println("Stack Overflow");            System.exit(1);        }    }     \/\/ Method to pop an element from first stack    int pop1()    {        if (top1 >= 0)        {            int x = arr[top1];            top1--;            return x;        }        else        {            System.out.println("Stack Underflow");            System.exit(1);        }        return 0;    }     \/\/ Method to pop an element from second stack    int pop2()    {        if(top2 < size)        {            int x =arr[top2];            top2++;            return x;        }        else        {            System.out.println("Stack Underflow");            System.exit(1);         }        return 0;    }     \/\/ Driver program to test twoStack class    public static void main(String args[])    {        TwoStacks ts = new TwoStacks(5);        ts.push1(5);        ts.push2(10);        ts.push2(15);        ts.push1(11);        ts.push2(7);        System.out.println("Popped element from" +                           " stack1 is " + ts.pop1());        ts.push2(40);        System.out.println("Popped element from" +                         " stack2 is " + ts.pop2());    }}\/\/ This code has been contributed by\/\/ Amit Khandelwal(Amit Khandelwal 1).<\/code><\/pre> <\/div>\n
Output:<\/strong><\/p>\n
  Popped element from stack1 is 11\r\n  Popped element from stack2 is 40\r\n<\/pre>\n
Time complexity of all 4 operations of twoStack <\/em>is O(1).
\nWe will extend to 3 stacks in an array in a separate post.<\/p>\n[ad type=”banner”]\n","protected":false},"excerpt":{"rendered":"
Java Algorithm – Implement two stacks in an array – Data Structure – Create a data structure twoStacks that represents two stacks.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2139,79607],"tags":[80438,80528,80446,80443,80442,80445,80485,80441,80440,80444],"class_list":["post-26940","post","type-post","status-publish","format-standard","hentry","category-java","category-stack","tag-3-stacks-in-an-array","tag-algorithm-for-multiple-stack","tag-algorithm-to-implement-two-stacks-in-one-array","tag-implement-k-stacks-in-a-single-array","tag-implement-multiple-stacks-in-a-single-dimensional-array-algorithm","tag-implement-two-stacks-using-one-array-java","tag-implementation-of-stack-using-array-in-data-structure","tag-multiple-stack-in-data-structure","tag-multiple-stack-using-array-in-c","tag-two-way-stack-implementation-in-c-using-array"],"_links":{"self":[{"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/posts\/26940","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/comments?post=26940"}],"version-history":[{"count":0,"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/posts\/26940\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/media?parent=26940"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/categories?post=26940"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wikitechy.com\/technology\/wp-json\/wp\/v2\/tags?post=26940"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}