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Round: I
An Array arr={7, 7, 8, 8, 9, 1, 1, 4, 2, 2} has numbers appearing twice or once. Duplicates appear side by side everytime. Might be few numbers can be occur one time and just assume this is a right rotating array (just say an array can rotate k times towards right). Aim is to identify numbers that occured once in array.




#include <stdio.h>
  
int main()
{
    int a[] = { 7, 7, 8, 8, 9, 1, 1, 4, 2, 2 }, i = 1, m = 10;
    // int a[]={7, 8, 8, 9, 1, 1, 4, 2, 2, 7}, i=1, m=10;
  
    if (a[0] == a[m - 1]) {
        i = 2;
        m = m - 1;
    }
    else
        printf("%d\n", a[m - 1]); // For cases like { 7, 7, 8, 8, 9, 1, 1, 4, 2, 3 }, a[] = { 7, 7, 8, 8, 9, 1, 1, 4, 4, 2 }
    for (; i < m; i++)
        if (a[i] == a[i - 1])
            i++;
        else
            printf("%d\n", a[i - 1]);
  
    return 0;
}


Input:
7, 7, 8, 8, 9, 1, 1, 4, 2, 2
Output:
9
4

Round II:
In second round a question asked was asked regarding BST. Sum of key elements in individual path of BST (just say this sum as path_ weight) and threshold path weight is given as input. If any of the pathweight is less than oversold path weight then that should be deleted from the tree.

Example :
Input:
Consider the below tree as input and threshold path weight is 110.

Output:
Below are the no of paths the input tree can make
path 1 : 50 -> 30 -> 20, Sum = 100
path 1 : 50 -> 30 -> 40, Sum = 120
path 1 : 50 -> 70 -> 60, Sum = 180
path 1 : 50 -> 70 -> 80, Sum = 200

In the current scenario path is less than the threshold path weight (100 < 110), So we have to destroy the path 1.
Tree after destroying the path 1.

Program for above task:




#include <stdio.h>
#include <stdlib.h>
  
struct node {
    int key;
    struct node *left, *right;
};
  
struct node* newnode(int element)
{
    struct node* temp = (struct node*)malloc(sizeof(struct node));
    temp->key = element;
    temp->left = temp->right = NULL;
    return temp;
}
  
struct node* insert(struct node* root, int element)
{
    if (root == NULL)
        return newnode(element);
  
    if (element < root->key)
        root->left = insert(root->left, element);
    else if (element > root->key)
        root->right = insert(root->right, element);
  
    return root;
}
  
void inorder(struct node* mynode)
{
    if (mynode != NULL) {
        inorder(mynode->left);
        printf("%d\t", mynode->key);
        inorder(mynode->right);
    }
}
  
struct node* minValueNode(struct node* node)
{
    struct node* current = node;
  
    /* loop down to find the leftmost leaf */
    while (current->left != NULL)
        current = current->left;
  
    return current;
}
  
struct node* deleteNode(struct node* root, int key)
{
    // base case
    if (root == NULL)
        return root;
  
    // If the key to be deleted is smaller than the root's key,
    // then it lies in left subtree
    if (key < root->key)
        root->left = deleteNode(root->left, key);
  
    // If the key to be deleted is greater than the root's key,
    // then it lies in right subtree
    else if (key > root->key)
        root->right = deleteNode(root->right, key);
  
    // if key is same as root's key, then This is the node
    // to be deleted
    else {
  
        // node with only one child or no child
        if (root->left == NULL) {
            struct node* temp = root->right;
            free(root);
            return temp;
        }
        else if (root->right == NULL) {
            struct node* temp = root->left;
            free(root);
            return temp;
        }
  
        // node with two children: Get the inorder successor (smallest
        // in the right subtree)
        struct node* temp = minValueNode(root->right);
  
        // Copy the inorder successor's content to this node
        root->key = temp->key;
  
        // Delete the inorder successor
        root->right = deleteNode(root->right, temp->key);
    }
    return root;
}
  
/** Function : checkpathCost(int pathweight, int thresoldPathWeight, 
                         struct node *currentNode, struct node *root)
    This function will sum the all individual elements in a every 
    path and lets say it as pathweight and if the sum less than 
    key then the path will be deleted.
      
    Arguments: 
    pathweight         : Sum of all elements in a path. As we are
                         traversing in recursive mode we the sum of 
                         previews elements.
    thresoldPathWeight : Threshold value to compare the path weight
    currentNode        : CUrrent node in the tree.
    root               : root of the tree, used while deleting the node.  
  
    Output : will delete paths which not satisfy the condition 
             (pathweight<thresoldPathWeight).   
**/
checkpathCost(int pathweight, int thresoldPathWeight,
              struct node* currentNode, struct node* root)
{
    // Add the current key to ath weight.
    pathweight = pathweight + currentNode->key;
  
    // Check the conditionh if current node is a leaf node.
    if ((currentNode->left == NULL) && (currentNode->right == NULL)) {
  
        // If pathweight is less that thresoldPathWeight delete the path
        if (pathweight < thresoldPathWeight) {
  
            // we need to delete the node, so there is no necessity
            // in maintaining the current->key in pathweight.
            pathweight = pathweight - currentNode->key;
            printf("need to Delete %d.\n", currentNode->key);
            deleteNode(root, currentNode->key);
            checkpathCost(0, thresoldPathWeight, root, root);
        }
        else
  
            // If currentNode->key satisfies the condition
            // (pathweight > thresoldPathWeight), need to backtrack
            // back to check with other paths and no necessity in
            // maintaining the current->key in pathweight.
            pathweight = pathweight - currentNode->key;
    }
  
    // If currentNode is not a leaf traverse all the
    // possible paths.
    if (currentNode->left != NULL) {
        checkpathCost(pathweight, thresoldPathWeight,
                      currentNode->left, root);
    }
    if (currentNode->right != NULL) {
        checkpathCost(pathweight, thresoldPathWeight,
                      currentNode->right, root);
    }
}
  
int main()
{
  
    int thresoldPathWeight = 110;
  
    /* Let us create following BST
              50
           /     \
          30      70
         /  \    /  \
       20   40  60   80 */
  
    struct node* root = NULL;
    root = insert(root, 50);
    root = insert(root, 30);
    root = insert(root, 20);
    root = insert(root, 40);
    root = insert(root, 70);
    root = insert(root, 60);
    root = insert(root, 80);
  
    printf("Inorder traversal of the given tree \n");
    inorder(root);
    printf("\n");
  
    checkpathCost(0, thresoldPathWeight, root, root);
  
    printf("Inorder traversal of the given tree \n");
    inorder(root);
    printf("\n");
  
    return 0;
}


In addition to the existing code for BST in geeksforgeeks and below function will implement the above task.
https://www.geeksforgeeks.org/binary-search-tree-set-2-delete/



Last Updated : 16 Oct, 2018
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