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| 1 | +#include<bits/stdc++.h> |
| 2 | +#define ll long long int |
| 3 | +#define ull unsigned long long int |
| 4 | +#define pb push_back |
| 5 | +#define MIN 2 |
| 6 | +#define sc(n) scanf("%d",&n) |
| 7 | +#define pr(n) printf("%d",n) |
| 8 | +#define gc getchar_unlocked |
| 9 | +#define AC 0 |
| 10 | +#define MOD 1000000007 |
| 11 | +#define mp make_pair |
| 12 | +#define vc vector |
| 13 | +#define wh(n) while(n--) |
| 14 | +#define ite(type,datatype,name) type<datatype>::iterator name |
| 15 | +#define gt goto |
| 16 | + |
| 17 | +using namespace std; |
| 18 | + |
| 19 | + /*Structure of node*/ |
| 20 | +struct node{ |
| 21 | + int data; |
| 22 | + struct node *left,*right; |
| 23 | +}; |
| 24 | + /*Create a new Node*/ |
| 25 | +struct node *newnode(int p){ |
| 26 | + struct node *temp = new node(); |
| 27 | + temp->data = p; |
| 28 | + temp->left = temp->right = NULL; |
| 29 | + return temp; |
| 30 | +} |
| 31 | + |
| 32 | + /*Insert a new Node in BST*/ |
| 33 | +struct node *insert(struct node *root,int p){ |
| 34 | + if(root == NULL){ |
| 35 | + return newnode(p); |
| 36 | + } |
| 37 | + if(root->data > p){ |
| 38 | + root->left = insert(root->left,p); |
| 39 | + } |
| 40 | + else{ |
| 41 | + root->right = insert(root->right,p); |
| 42 | + } |
| 43 | + return root; |
| 44 | +} |
| 45 | +/* Display BST */ |
| 46 | +void display(struct node *root){ |
| 47 | + if(root != NULL){ |
| 48 | + cout<<root->data<<" "; //Pre-Order |
| 49 | + display(root->left); |
| 50 | + // cout<<root->data<<" "; |
| 51 | + display(root->right); |
| 52 | + |
| 53 | + } |
| 54 | +} |
| 55 | + /*Return node with minimum value*/ |
| 56 | +struct node *minvalue(struct node *root){ |
| 57 | + struct node *curr = root; |
| 58 | + |
| 59 | + while(curr->left != NULL){ |
| 60 | + curr = curr->left; |
| 61 | + } |
| 62 | + return curr; |
| 63 | +} |
| 64 | + |
| 65 | +/* Delete node with given key value in BST */ |
| 66 | +struct node *del(struct node* root,int key){ |
| 67 | + //Base case for root |
| 68 | + if(root == NULL) return root; |
| 69 | + if(root->data > key){ |
| 70 | + root->left = del(root->left,key); |
| 71 | + } |
| 72 | + else if(root->data < key){ |
| 73 | + root->right = del(root->right,key); |
| 74 | + } |
| 75 | + else{ |
| 76 | + //noDe has one or nO noDe |
| 77 | + if(root->left == NULL){ |
| 78 | + struct node *temp = root->right; |
| 79 | + free(root); |
| 80 | + return temp; |
| 81 | + } |
| 82 | + else if(root->right == NULL){ |
| 83 | + struct node *temp = root->left; |
| 84 | + free(root); |
| 85 | + return temp; |
| 86 | + } |
| 87 | + //tWo chiLd |
| 88 | + struct node *temp = minvalue(root->right); |
| 89 | + root->data = temp->data; |
| 90 | + root->right = del(root->right,temp->data); |
| 91 | + } |
| 92 | + return root; |
| 93 | +} |
| 94 | + |
| 95 | + /* Return height of BST */ |
| 96 | +int maxheight(struct node *node){ |
| 97 | + if(node == NULL){ |
| 98 | + return 0; |
| 99 | + } |
| 100 | + int lh = maxheight(node->left); |
| 101 | + int rh = maxheight(node->right); |
| 102 | + |
| 103 | + if(lh>rh) return (lh+1); |
| 104 | + else return (rh+1); |
| 105 | +} |
| 106 | +/* return the search value for given key */ |
| 107 | +int search(struct node* temp,int key){ |
| 108 | + int p=key; |
| 109 | + while(1){ |
| 110 | + if(temp->data == key){ |
| 111 | + return p; |
| 112 | + } |
| 113 | + else if(temp->data > key){ |
| 114 | + p = max(p,temp->data); |
| 115 | + temp = temp->left; |
| 116 | + } |
| 117 | + else if(temp->data < key){ |
| 118 | + temp = temp->right; |
| 119 | + } |
| 120 | + } |
| 121 | + return p; |
| 122 | +} |
| 123 | + |
| 124 | + /*Print BST in zigzag Pattern */ |
| 125 | +void zigzeg(struct node* root){ |
| 126 | + stack<int> s[2]; |
| 127 | + int curr = 0; |
| 128 | + int oth = 1; |
| 129 | + s[curr].push(root->data); |
| 130 | + struct node* temp1 = root; |
| 131 | + struct node* temp2 = root; |
| 132 | + while((!s[curr].empty()) || (!s[oth].empty())){ |
| 133 | + if(curr == 0){ |
| 134 | + int p = s[curr].top(); |
| 135 | + s[curr].pop(); |
| 136 | + s[oth].push(temp1->left->data); |
| 137 | + s[oth].push(temp1->right->data); |
| 138 | + temp1= temp1->right; |
| 139 | + cout<<p<<" "; |
| 140 | + } |
| 141 | + else{ |
| 142 | + int p = s[oth].top(); |
| 143 | + s[oth].pop(); |
| 144 | + s[curr].push(temp1->right->data); |
| 145 | + s[curr].push(temp1->left->data); |
| 146 | + temp1= temp1->left; |
| 147 | + cout<<p<<" "; |
| 148 | + } |
| 149 | + if(s[curr].empty()){ |
| 150 | + swap(curr,oth); |
| 151 | + } |
| 152 | + } |
| 153 | +} |
| 154 | +// Driver program to test above functions |
| 155 | +int main(){ |
| 156 | + struct node *root = NULL; |
| 157 | + root = insert(root,20); |
| 158 | + insert(root,10); |
| 159 | + insert(root,30); |
| 160 | + insert(root,5); |
| 161 | + insert(root,15); |
| 162 | + insert(root,25); |
| 163 | + insert(root,35); |
| 164 | + insert(root,45); |
| 165 | + display(root); |
| 166 | + cout<<endl; |
| 167 | + cout<<"Height of tree is: "<<maxheight(root)<<endl; |
| 168 | + zigzeg(root); |
| 169 | + return 0; |
| 170 | +} |
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