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https://github.com/krahets/hello-algo.git
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@@ -760,6 +760,7 @@ It's important to note that even though node `P` continues to point to `n1` afte
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fun remove(n0: ListNode?) {
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if (n0?.next == null)
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return
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// n0 -> P -> n1
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val p = n0.next
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val n1 = p?.next
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n0.next = n1
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@@ -1992,6 +1992,7 @@ Therefore, **we can use an explicit stack to simulate the behavior of the call s
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var res = 0
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// 递: 递归调用
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for (i in n downTo 0) {
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// 通过“入栈操作”模拟“递”
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stack.push(i)
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}
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// 归: 返回结果
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@@ -1319,7 +1319,6 @@ Linear order indicates the number of operations grows linearly with the input da
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/* 线性阶 */
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fun linear(n: Int): Int {
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var count = 0
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// 循环次数与数组长度成正比
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for (i in 0..<n)
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count++
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return count
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@@ -2063,7 +2062,9 @@ For instance, in bubble sort, the outer loop runs $n - 1$ times, and the inner l
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for (j in 0..<i) {
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if (nums[j] > nums[j + 1]) {
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// 交换 nums[j] 与 nums[j + 1]
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nums[j] = nums[j + 1].also { nums[j + 1] = nums[j] }
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val temp = nums[j]
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nums[j] = nums[j + 1]
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nums[j + 1] = temp
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count += 3 // 元素交换包含 3 个单元操作
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}
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}
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@@ -2340,8 +2341,8 @@ The following image and code simulate the cell division process, with a time com
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/* 指数阶(循环实现) */
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fun exponential(n: Int): Int {
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var count = 0
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// 细胞每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
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var base = 1
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// 细胞每轮一分为二,形成数列 1, 2, 4, 8, ..., 2^(n-1)
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for (i in 0..<n) {
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for (j in 0..<base) {
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count++
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@@ -3747,12 +3748,11 @@ The "worst-case time complexity" corresponds to the asymptotic upper bound, deno
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for (i in 0..<n) {
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nums[i] = i + 1
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}
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val mutableList = nums.toMutableList()
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// 随机打乱数组元素
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mutableList.shuffle()
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nums.shuffle()
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val res = arrayOfNulls<Int>(n)
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for (i in 0..<n) {
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res[i] = mutableList[i]
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res[i] = nums[i]
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}
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return res
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}
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@@ -1103,8 +1103,8 @@ Below is the implementation code for graphs represented using an adjacency matri
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if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
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throw IndexOutOfBoundsException()
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// 在无向图中,邻接矩阵关于主对角线对称,即满足 (i, j) == (j, i)
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adjMat[i][j] = 1;
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adjMat[j][i] = 1;
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adjMat[i][j] = 1
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adjMat[j][i] = 1
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}
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/* 删除边 */
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@@ -1113,15 +1113,15 @@ Below is the implementation code for graphs represented using an adjacency matri
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// 索引越界与相等处理
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if (i < 0 || j < 0 || i >= size() || j >= size() || i == j)
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throw IndexOutOfBoundsException()
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adjMat[i][j] = 0;
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adjMat[j][i] = 0;
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adjMat[i][j] = 0
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adjMat[j][i] = 0
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}
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/* 打印邻接矩阵 */
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fun print() {
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print("顶点列表 = ")
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println(vertices);
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println("邻接矩阵 =");
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println(vertices)
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println("邻接矩阵 =")
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printMatrix(adjMat)
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}
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}
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@@ -2167,9 +2167,9 @@ Additionally, we use the `Vertex` class to represent vertices in the adjacency l
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init {
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// 添加所有顶点和边
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for (edge in edges) {
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addVertex(edge[0]!!);
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addVertex(edge[1]!!);
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addEdge(edge[0]!!, edge[1]!!);
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addVertex(edge[0]!!)
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addVertex(edge[1]!!)
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addEdge(edge[0]!!, edge[1]!!)
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}
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}
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@@ -2184,7 +2184,7 @@ Additionally, we use the `Vertex` class to represent vertices in the adjacency l
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throw IllegalArgumentException()
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// 添加边 vet1 - vet2
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adjList[vet1]?.add(vet2)
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adjList[vet2]?.add(vet1);
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adjList[vet2]?.add(vet1)
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}
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/* 删除边 */
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@@ -2192,8 +2192,8 @@ Additionally, we use the `Vertex` class to represent vertices in the adjacency l
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if (!adjList.containsKey(vet1) || !adjList.containsKey(vet2) || vet1 == vet2)
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throw IllegalArgumentException()
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// 删除边 vet1 - vet2
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adjList[vet1]?.remove(vet2);
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adjList[vet2]?.remove(vet1);
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adjList[vet1]?.remove(vet2)
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adjList[vet2]?.remove(vet1)
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}
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/* 添加顶点 */
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@@ -2209,7 +2209,7 @@ Additionally, we use the `Vertex` class to represent vertices in the adjacency l
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if (!adjList.containsKey(vet))
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throw IllegalArgumentException()
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// 在邻接表中删除顶点 vet 对应的链表
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adjList.remove(vet);
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adjList.remove(vet)
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// 遍历其他顶点的链表,删除所有包含 vet 的边
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for (list in adjList.values) {
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list.remove(vet)
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@@ -560,6 +560,7 @@ The design of hash algorithms is a complex issue that requires consideration of
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/* 加法哈希 */
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fun addHash(key: String): Int {
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var hash = 0L
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val MODULUS = 1000000007
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for (c in key.toCharArray()) {
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hash = (hash + c.code) % MODULUS
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}
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@@ -569,6 +570,7 @@ The design of hash algorithms is a complex issue that requires consideration of
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/* 乘法哈希 */
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fun mulHash(key: String): Int {
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var hash = 0L
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val MODULUS = 1000000007
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for (c in key.toCharArray()) {
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hash = (31 * hash + c.code) % MODULUS
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}
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@@ -578,6 +580,7 @@ The design of hash algorithms is a complex issue that requires consideration of
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/* 异或哈希 */
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fun xorHash(key: String): Int {
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var hash = 0
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val MODULUS = 1000000007
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for (c in key.toCharArray()) {
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hash = hash xor c.code
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}
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@@ -587,6 +590,7 @@ The design of hash algorithms is a complex issue that requires consideration of
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/* 旋转哈希 */
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fun rotHash(key: String): Int {
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var hash = 0L
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val MODULUS = 1000000007
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for (c in key.toCharArray()) {
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hash = ((hash shl 4) xor (hash shr 28) xor c.code.toLong()) % MODULUS
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}
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@@ -1312,7 +1312,7 @@ The code below provides a simple implementation of a separate chaining hash tabl
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```kotlin title="hash_map_chaining.kt"
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/* 链式地址哈希表 */
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class HashMapChaining() {
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class HashMapChaining {
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var size: Int // 键值对数量
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var capacity: Int // 哈希表容量
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val loadThres: Double // 触发扩容的负载因子阈值
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@@ -1605,7 +1605,8 @@ The following code implements a simple hash table. Here, we encapsulate `key` an
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fun valueSet(): MutableList<String> {
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val valueSet = mutableListOf<String>()
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for (pair in buckets) {
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pair?.let { valueSet.add(it._val) }
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if (pair != null)
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valueSet.add(pair._val)
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}
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return valueSet
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}
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@@ -1615,7 +1616,7 @@ The following code implements a simple hash table. Here, we encapsulate `key` an
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for (kv in pairSet()) {
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val key = kv.key
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val _val = kv._val
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println("${key} -> ${_val}")
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println("$key -> $_val")
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}
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}
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}
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@@ -220,7 +220,9 @@ It's worth mentioning that **since leaf nodes have no children, they naturally f
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/* 交换元素 */
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private fun swap(i: Int, j: Int) {
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maxHeap[i] = maxHeap[j].also { maxHeap[j] = maxHeap[i] }
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val temp = maxHeap[i]
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maxHeap[i] = maxHeap[j]
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maxHeap[j] = temp
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}
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/* 获取堆大小 */
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@@ -649,7 +649,7 @@ We can encapsulate the index mapping formula into functions for convenient later
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/* 获取父节点的索引 */
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int parent(MaxHeap *maxHeap, int i) {
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return (i - 1) / 2;
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return (i - 1) / 2; // 向下取整
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}
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```
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@@ -1045,7 +1045,7 @@ Below is an example code for implementing a stack based on a linked list:
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fun pop(): Int? {
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val num = peek()
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stackPeek = stackPeek?.next
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stkSize--;
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stkSize--
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return num
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}
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@@ -1172,7 +1172,7 @@ The following code implements a binary tree based on array representation, inclu
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=== "Kotlin"
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```kotlin title="array_binary_tree.kt"
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/* 构造方法 */
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/* 数组表示下的二叉树类 */
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class ArrayBinaryTree(val tree: MutableList<Int?>) {
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/* 列表容量 */
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fun size(): Int {
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@@ -305,7 +305,7 @@ Breadth-first traversal is usually implemented with the help of a "queue". The q
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val list = mutableListOf<Int>()
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while (queue.isNotEmpty()) {
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val node = queue.poll() // 队列出队
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list.add(node?._val!!) // 保存节点值
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list.add(node?._val!!) // 保存节点值
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if (node.left != null)
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queue.offer(node.left) // 左子节点入队
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if (node.right != null)
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