From 7cf9e6665f0e717f5e387e48204a0a1990114450 Mon Sep 17 00:00:00 2001 From: Luthics Date: Fri, 1 Dec 2023 22:33:56 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0=E5=B9=B3=E8=A1=A1?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .gitignore | 1 + 7/data.in | 2 +- 7/s3.c | 283 +++++++++++++++++- ...验题目与要求---32学时实验课.ppt | Bin 0 -> 412160 bytes 4 files changed, 284 insertions(+), 2 deletions(-) create mode 100644 数据结构专题实验题目与要求---32学时实验课.ppt diff --git a/.gitignore b/.gitignore index a7c0d4e..64b4f21 100644 --- a/.gitignore +++ b/.gitignore @@ -3,3 +3,4 @@ template/* *.zip */datas/* +*/tempCodeRunnerFile.c \ No newline at end of file diff --git a/7/data.in b/7/data.in index 74beefa..85787f0 100644 --- a/7/data.in +++ b/7/data.in @@ -3,4 +3,4 @@ 3 2 5 -4 \ No newline at end of file +9 \ No newline at end of file diff --git a/7/s3.c b/7/s3.c index 8826b52..45cc63b 100644 --- a/7/s3.c +++ b/7/s3.c @@ -1 +1,282 @@ -// todo \ No newline at end of file +#include +#include + +typedef struct Tree { + int val; + struct Tree *l, *r; + struct Tree *parent; + int height; + int balance; +} Tree; + +int n; +int m; + +// 获取节点高度 +int getHeight(Tree *root) { + if (root == NULL) + return 0; + return root->height; +} + +// 更新节点高度和平衡因子 +void updateHeight(Tree *root) { + if (root == NULL) + return; + int l = getHeight(root->l); + int r = getHeight(root->r); + root->height = (l > r ? l : r) + 1; + root->balance = l - r; +} + +// 左旋操作 +Tree *leftRotate(Tree *root) { + Tree *newRoot = root->r; + root->r = newRoot->l; + if (newRoot->l != NULL) + newRoot->l->parent = root; + newRoot->l = root; + newRoot->parent = root->parent; + root->parent = newRoot; + updateHeight(root); + updateHeight(newRoot); + return newRoot; +} + +// 右旋操作 +Tree *rightRotate(Tree *root) { + Tree *newRoot = root->l; + root->l = newRoot->r; + if (newRoot->r != NULL) + newRoot->r->parent = root; + newRoot->r = root; + newRoot->parent = root->parent; + root->parent = newRoot; + updateHeight(root); + updateHeight(newRoot); + return newRoot; +} + +// 左右旋操作 +Tree *leftRightRotate(Tree *root) { + root->l = leftRotate(root->l); + return rightRotate(root); +} + +// 右左旋操作 +Tree *rightLeftRotate(Tree *root) { + root->r = rightRotate(root->r); + return leftRotate(root); +} + +// 插入节点 +Tree *insertNode(Tree *root, int val) { + if (root == NULL) { + Tree *tmp = (Tree *)malloc(sizeof(Tree)); + tmp->val = val; + tmp->l = NULL; + tmp->r = NULL; + tmp->parent = NULL; + tmp->height = 1; + tmp->balance = 0; + return tmp; + } + + if (val < root->val) { + root->l = insertNode(root->l, val); + root->l->parent = root; + } else { + root->r = insertNode(root->r, val); + root->r->parent = root; + } + + updateHeight(root); + if (root->balance > 1) { + if (val < root->l->val) { + return rightRotate(root); + } else { + return leftRightRotate(root); + } + } else if (root->balance < -1) { + if (val > root->r->val) { + return leftRotate(root); + } else { + return rightLeftRotate(root); + } + } + + return root; +} + +// 删除节点 +Tree *deleteNode(Tree *root, int val) { + if (root == NULL) + return NULL; + + if (val < root->val) { + root->l = deleteNode(root->l, val); + } else if (val > root->val) { + root->r = deleteNode(root->r, val); + } else { + if (root->l == NULL && root->r == NULL) { + free(root); + return NULL; + } else if (root->l == NULL) { + Tree *temp = root->r; + free(root); + return temp; + } else if (root->r == NULL) { + Tree *temp = root->l; + free(root); + return temp; + } else { + Tree *minNode = root->r; + while (minNode->l != NULL) + minNode = minNode->l; + root->val = minNode->val; + root->r = deleteNode(root->r, minNode->val); + } + } + + updateHeight(root); + if (root->balance > 1) { + if (getHeight(root->l->l) >= getHeight(root->l->r)) { + return rightRotate(root); + } else { + return leftRightRotate(root); + } + } else if (root->balance < -1) { + if (getHeight(root->r->r) >= getHeight(root->r->l)) { + return leftRotate(root); + } else { + return rightLeftRotate(root); + } + } + + return root; +} + +void makeTree(Tree *root, int val) { + if (val < root->val) { + if (root->l == NULL) { + root->l = (Tree *)malloc(sizeof(Tree)); + root->l->val = val; + root->l->l = NULL; + root->l->r = NULL; + root->l->parent = root; + root->l->height = root->height + 1; + } else { + makeTree(root->l, val); + } + } else { + if (root->r == NULL) { + root->r = (Tree *)malloc(sizeof(Tree)); + root->r->val = val; + root->r->l = NULL; + root->r->r = NULL; + root->r->parent = root; + root->r->height = root->height + 1; + + } else { + makeTree(root->r, val); + } + } +} + +// 中序遍历 +void inOrder(Tree *root) { + if (root == NULL) + return; + inOrder(root->l); + printf("%d ", root->val); + inOrder(root->r); +} + +// 二叉排序树T查找成功的平均查找长度 +double ASL(Tree *root, int level) { + if (root == NULL) + return 0; + return level + ASL(root->l, level + 1) + ASL(root->r, level + 1); +} + +// 找到二叉树中值为val的节点并删除 +void delNode(Tree *root, int val) { + if (root == NULL) + return; + if (root->val == val) { + if (root->l == NULL && root->r == NULL) { + if (root->parent->l == root) { + root->parent->l = NULL; + } else { + root->parent->r = NULL; + } + free(root); + } else if (root->l == NULL) { + if (root->parent->l == root) { + root->parent->l = root->r; + } else { + root->parent->r = root->r; + } + free(root); + } else if (root->r == NULL) { + if (root->parent->l == root) { + root->parent->l = root->l; + } else { + root->parent->r = root->l; + } + free(root); + } else { + Tree *p = root->r; + while (p->l != NULL) { + p = p->l; + } + root->val = p->val; + delNode(p, p->val); + } + } else if (root->val > val) { + delNode(root->l, val); + } else { + delNode(root->r, val); + } +} + +void detail(Tree *root) { + if (root == NULL) + return; + printf("val: %d, height: %d, balance: %d, parent: %d\n", root->val, + root->height, root->balance, + root->parent == NULL ? -1 : root->parent->val); + detail(root->l); + detail(root->r); +} + +void pt(Tree *root) { + printf("inOrder:\n"); + inOrder(root); + printf("\n"); + detail(root); + printf("ASL: %lf\n", ASL(root, 1) / n); + printf("\n"); +} + +int main() { + freopen("data.in", "r", stdin); + scanf("%d", &n); + Tree *root = NULL; + for (int i = 0; i < n; i++) { + int val; + scanf("%d", &val); + root = insertNode(root, val); + } + pt(root); + + scanf("%d", &m); + for (int i = 0; i < m; i++) { + int x; + scanf("%d", &x); + root = deleteNode(root, x); + pt(root); + } + + return 0; +} \ No newline at end of file diff --git a/数据结构专题实验题目与要求---32学时实验课.ppt b/数据结构专题实验题目与要求---32学时实验课.ppt new file mode 100644 index 0000000000000000000000000000000000000000..d4010c64b70d35337d896172a106cd6ba837bf24 GIT binary patch literal 412160 zcmeFXWl&sQ5G@M90>RxO1Pcy>ySuv+Y;Yf3gN9(i-QC?KxVr{-7~D0;oqYG+s#~w> z{e5+Ryj|6EPM_Z0z1HeIGc{E+J%zEATT8eN_5WCcP%uz$?}$+F|HpF#$UOzj|9XH9 z1&P1E|MUL$l?W0eh8PLNNFhcBF>;7~h8Se)|G)k(R3N~M?9v!A!;7eHJHY^>i}cei zFHS!CwM|;c!;k;VprN24caUL1Ed0~|v=5N`e+JQPXTqo^#eF7cmw 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