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@@ -1150,27 +1150,23 @@ comments: true
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```c title="hash_map_chaining.c"
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/* 链表节点 */
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struct node {
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typedef struct Node {
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Pair *pair;
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struct node *next;
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};
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typedef struct node Node;
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struct Node *next;
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} Node;
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/* 链式地址哈希表 */
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struct hashMapChaining {
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typedef struct {
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int size; // 键值对数量
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int capacity; // 哈希表容量
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double loadThres; // 触发扩容的负载因子阈值
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int extendRatio; // 扩容倍数
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Node **buckets; // 桶数组
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};
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typedef struct hashMapChaining hashMapChaining;
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} HashMapChaining;
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/* 构造方法 */
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hashMapChaining *initHashMapChaining() {
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hashMapChaining *hashMap = (hashMapChaining *)malloc(sizeof(hashMapChaining));
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HashMapChaining *initHashMapChaining() {
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HashMapChaining *hashMap = (HashMapChaining *)malloc(sizeof(HashMapChaining));
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hashMap->size = 0;
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hashMap->capacity = 4;
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hashMap->loadThres = 2.0 / 3.0;
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@@ -1183,7 +1179,7 @@ comments: true
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}
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/* 析构方法 */
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void freeHashMapChaining(hashMapChaining *hashMap) {
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void freeHashMapChaining(HashMapChaining *hashMap) {
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for (int i = 0; i < hashMap->capacity; i++) {
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Node *cur = hashMap->buckets[i];
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while (cur) {
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@@ -1198,17 +1194,17 @@ comments: true
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}
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/* 哈希函数 */
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int hashFunc(hashMapChaining *hashMap, int key) {
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int hashFunc(HashMapChaining *hashMap, int key) {
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return key % hashMap->capacity;
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}
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/* 负载因子 */
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double loadFactor(hashMapChaining *hashMap) {
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double loadFactor(HashMapChaining *hashMap) {
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return (double)hashMap->size / (double)hashMap->capacity;
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}
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/* 查询操作 */
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char *get(hashMapChaining *hashMap, int key) {
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char *get(HashMapChaining *hashMap, int key) {
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int index = hashFunc(hashMap, key);
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// 遍历桶,若找到 key 则返回对应 val
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Node *cur = hashMap->buckets[index];
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@@ -1222,7 +1218,7 @@ comments: true
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}
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/* 添加操作 */
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void put(hashMapChaining *hashMap, int key, const char *val) {
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void put(HashMapChaining *hashMap, int key, const char *val) {
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// 当负载因子超过阈值时,执行扩容
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if (loadFactor(hashMap) > hashMap->loadThres) {
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extend(hashMap);
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@@ -1249,7 +1245,7 @@ comments: true
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}
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/* 扩容哈希表 */
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void extend(hashMapChaining *hashMap) {
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void extend(HashMapChaining *hashMap) {
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// 暂存原哈希表
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int oldCapacity = hashMap->capacity;
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Node **oldBuckets = hashMap->buckets;
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@@ -1277,7 +1273,7 @@ comments: true
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}
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/* 删除操作 */
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void removeKey(hashMapChaining *hashMap, int key) {
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void removeKey(HashMapChaining *hashMap, int key) {
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int index = hashFunc(hashMap, key);
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Node *cur = hashMap->buckets[index];
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Node *pre = NULL;
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@@ -1301,7 +1297,7 @@ comments: true
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}
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/* 打印哈希表 */
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void print(hashMapChaining *hashMap) {
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void print(HashMapChaining *hashMap) {
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for (int i = 0; i < hashMap->capacity; i++) {
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Node *cur = hashMap->buckets[i];
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printf("[");
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@@ -2647,20 +2643,18 @@ comments: true
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```c title="hash_map_open_addressing.c"
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/* 开放寻址哈希表 */
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struct hashMapOpenAddressing {
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typedef struct {
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int size; // 键值对数量
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int capacity; // 哈希表容量
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double loadThres; // 触发扩容的负载因子阈值
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int extendRatio; // 扩容倍数
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Pair **buckets; // 桶数组
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Pair *TOMBSTONE; // 删除标记
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};
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typedef struct hashMapOpenAddressing hashMapOpenAddressing;
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} HashMapOpenAddressing;
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/* 构造方法 */
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hashMapOpenAddressing *newHashMapOpenAddressing() {
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hashMapOpenAddressing *hashMap = (hashMapOpenAddressing *)malloc(sizeof(hashMapOpenAddressing));
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HashMapOpenAddressing *newHashMapOpenAddressing() {
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HashMapOpenAddressing *hashMap = (HashMapOpenAddressing *)malloc(sizeof(HashMapOpenAddressing));
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hashMap->size = 0;
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hashMap->capacity = 4;
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hashMap->loadThres = 2.0 / 3.0;
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@@ -2674,7 +2668,7 @@ comments: true
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}
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/* 析构方法 */
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void delHashMapOpenAddressing(hashMapOpenAddressing *hashMap) {
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void delHashMapOpenAddressing(HashMapOpenAddressing *hashMap) {
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for (int i = 0; i < hashMap->capacity; i++) {
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Pair *pair = hashMap->buckets[i];
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if (pair != NULL && pair != hashMap->TOMBSTONE) {
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@@ -2685,17 +2679,17 @@ comments: true
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}
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/* 哈希函数 */
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int hashFunc(hashMapOpenAddressing *hashMap, int key) {
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int hashFunc(HashMapOpenAddressing *hashMap, int key) {
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return key % hashMap->capacity;
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}
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/* 负载因子 */
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double loadFactor(hashMapOpenAddressing *hashMap) {
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double loadFactor(HashMapOpenAddressing *hashMap) {
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return (double)hashMap->size / (double)hashMap->capacity;
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}
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/* 搜索 key 对应的桶索引 */
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int findBucket(hashMapOpenAddressing *hashMap, int key) {
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int findBucket(HashMapOpenAddressing *hashMap, int key) {
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int index = hashFunc(hashMap, key);
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int firstTombstone = -1;
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// 线性探测,当遇到空桶时跳出
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@@ -2722,7 +2716,7 @@ comments: true
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}
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/* 查询操作 */
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char *get(hashMapOpenAddressing *hashMap, int key) {
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char *get(HashMapOpenAddressing *hashMap, int key) {
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// 搜索 key 对应的桶索引
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int index = findBucket(hashMap, key);
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// 若找到键值对,则返回对应 val
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@@ -2734,7 +2728,7 @@ comments: true
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}
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/* 添加操作 */
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void put(hashMapOpenAddressing *hashMap, int key, char *val) {
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void put(HashMapOpenAddressing *hashMap, int key, char *val) {
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// 当负载因子超过阈值时,执行扩容
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if (loadFactor(hashMap) > hashMap->loadThres) {
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extend(hashMap);
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@@ -2761,7 +2755,7 @@ comments: true
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}
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/* 删除操作 */
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void removeItem(hashMapOpenAddressing *hashMap, int key) {
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void removeItem(HashMapOpenAddressing *hashMap, int key) {
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// 搜索 key 对应的桶索引
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int index = findBucket(hashMap, key);
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// 若找到键值对,则用删除标记覆盖它
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@@ -2775,7 +2769,7 @@ comments: true
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}
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/* 扩容哈希表 */
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void extend(hashMapOpenAddressing *hashMap) {
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void extend(HashMapOpenAddressing *hashMap) {
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// 暂存原哈希表
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Pair **bucketsTmp = hashMap->buckets;
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int oldCapacity = hashMap->capacity;
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@@ -2796,7 +2790,7 @@ comments: true
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}
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/* 打印哈希表 */
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void print(hashMapOpenAddressing *hashMap) {
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void print(HashMapOpenAddressing *hashMap) {
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for (int i = 0; i < hashMap->capacity; i++) {
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Pair *pair = hashMap->buckets[i];
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if (pair == NULL) {
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@@ -2820,7 +2814,7 @@ comments: true
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平方探测与线性探测类似,都是开放寻址的常见策略之一。当发生冲突时,平方探测不是简单地跳过一个固定的步数,而是跳过“探测次数的平方”的步数,即 $1, 4, 9, \dots$ 步。
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平方探测通主要具有以下优势。
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平方探测主要具有以下优势。
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- 平方探测通过跳过平方的距离,试图缓解线性探测的聚集效应。
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- 平方探测会跳过更大的距离来寻找空位置,有助于数据分布得更加均匀。
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