二叉树前序序列和中序序列转为后序序列
/* program to construct tree using inorder and preorder traversals */ #include <stdio.h> #include <stdlib.h> /* A binary tree node has data, pointer to left child and a pointer to right child */ struct node { char data; struct node* left; struct node* right; }; /* Prototypes for utility functions */ int search(char arr[], int strt, int end, char value); struct node* newNode(char data); /* Recursive function to construct binary of size len from Inorder traversal in[] and Preorder traversal pre[]. Initial values of inStrt and inEnd should be 0 and len -1. The function doesn't do any error checking for cases where inorder and preorder do not form a tree */ struct node* buildTree(char in[], char pre[], int inStrt, int inEnd) { static int preIndex = 0; if (inStrt > inEnd) return NULL; /* Pick current node from Preorder traversal using preIndex and increment preIndex */ struct node* tNode = newNode(pre[preIndex++]); /* If this node has no children then return */ if (inStrt == inEnd) return tNode; /* Else find the index of this node in Inorder traversal */ int inIndex = search(in, inStrt, inEnd, tNode->data); /* Using index in Inorder traversal, construct left and right subtress */ tNode->left = buildTree(in, pre, inStrt, inIndex - 1); tNode->right = buildTree(in, pre, inIndex + 1, inEnd); return tNode; } /* UTILITY FUNCTIONS */ /* Function to find index of value in arr[start...end] The function assumes that value is present in in[] */ int search(char arr[], int strt, int end, char value) { int i; for (i = strt; i <= end; i++) { if (arr[i] == value) return i; } } /* Helper function that allocates a new node with the given data and NULL left and right pointers. */ struct node* newNode(char data) { struct node* node = (struct node*)malloc(sizeof(struct node)); node->data = data; node->left = NULL; node->right = NULL; return (node); } /* This funtcion is here just to test buildTree() */ void printInorder(struct node* node) { if (node == NULL) return; /* first recur on left child */ printInorder(node->left); /* then print the data of node */ printf("%c ", node->data); /* now recur on right child */ printInorder(node->right); } /* Driver program to test above functions */ int main() { char in[] = { 'D', 'B', 'E', 'A', 'F', 'C' }; char pre[] = { 'A', 'B', 'D', 'E', 'C', 'F' }; int len = sizeof(in) / sizeof(in[0]); struct node* root = buildTree(in, pre, 0, len - 1); /* Let us test the built tree by printing Insorder traversal */ printf("Inorder traversal of the constructed tree is \n"); printInorder(root); getchar(); }
参考网址:https://www.geeksforgeeks.org/construct-tree-from-given-inorder-and-preorder-traversal/