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+


```java public class Heap> { @@ -682,7 +682,7 @@ public class Heap> { 在堆中,当一个节点比父节点大,那么需要交换这个两个节点。交换后还可能比它新的父节点大,因此需要不断地进行比较和交换操作,把这种操作称为上浮。 -

+

```java private void swim(int k) { @@ -695,7 +695,7 @@ private void swim(int k) { 类似地,当一个节点比子节点来得小,也需要不断地向下进行比较和交换操作,把这种操作称为下沉。一个节点如果有两个子节点,应当与两个子节点中最大那个节点进行交换。 -

+

```java private void sink(int k) { @@ -744,15 +744,13 @@ public T delMax() { 无序数组建立堆最直接的方法是从左到右遍历数组进行上浮操作。一个更高效的方法是从右至左进行下沉操作,如果一个节点的两个节点都已经是堆有序,那么进行下沉操作可以使得这个节点为根节点的堆有序。叶子节点不需要进行下沉操作,可以忽略叶子节点的元素,因此只需要遍历一半的元素即可。 -

+

#### 5.2 交换堆顶元素与最后一个元素 交换之后需要进行下沉操作维持堆的有序状态。 -

- -

+

```java public class HeapSort> extends Sort { @@ -2045,7 +2043,7 @@ public class Transaction { 对于 N 个键,M 条链表 (N>M),如果哈希函数能够满足均匀性的条件,每条链表的大小趋向于 N/M,因此未命中的查找和插入操作所需要的比较次数为 \~N/M。 -

+

### 3. 线性探测法 @@ -2053,7 +2051,7 @@ public class Transaction { 使用线性探测法,数组的大小 M 应当大于键的个数 N(M>N)。 -

+

```java public class LinearProbingHashST implements UnorderedST { @@ -2154,7 +2152,7 @@ public void delete(Key key) { 线性探测法的成本取决于连续条目的长度,连续条目也叫聚簇。当聚簇很长时,在查找和插入时也需要进行很多次探测。例如下图中 2\~5 位置就是一个聚簇。 -

+

α = N/M,把 α 称为使用率。理论证明,当 α 小于 1/2 时探测的预计次数只在 1.5 到 2.5 之间。为了保证散列表的性能,应当调整数组的大小,使得 α 在 [1/4, 1/2] 之间。 diff --git a/docs/pics/10.gif b/docs/pics/10.gif index d52a911e5b9566150887142155916d21cae3f74f..df38020900fdde88e73f5a7a91776b2804dc7cdf 100644 GIT binary patch literal 16384 zcmeIZ2UJsA+wZ&5kWMJN5m2fKRzO9tKtM#mMzH`kiUklA+ukUaB(x-ukWfRFPUxWu zs1S~KXN>dB@nmJK%r)m)S!1mK^E|&f=LJ(^ z9bJ0_xa zwf|uc|K9xH_y2DA@7sT<{fDam@CN?-6TsdSe+gYVf6eNgf%$o@BN{LW004^XaJVt} zeF*#jf4(LFKM!aSkTapjmV5F`9=KggkE`@WDw{=_H>n{^!?8ZfG%vX+Qs?DlZ(UwW%O{kl;2yJlT5Ezy(1APk`Kj$G<_Tue zW(8?K(yjAc`sxePe`ecN682my%;?HIlUunTB(H@L}3`gF>_0_2!eTPb|*0s%vlb_HqzM=tf ziA&5Fb71Td+Y>Rn9|Aii{lm^n`eD&t%=~4iN-XLQzr61x#ahX0=`t<}%6pukgcAc;;&CwLuS<+KOv=Sv;I?O3c;daB*Xmi7NMO7;}{W-(zS zrYo%Z;MrLn6ihPD+4NJ0(-^AC^-8yztOOK5p~P+Ke?JERBc=fIL4D}CsJA?HWO!7$ z`us4wrZXHAv3N&8$yL&KOnq4ADDu@K&aQ z#fFVUI@b2lW79*jDW4k)jUS4oi)y6P@I%gwIA(;8YXT6AoGv)8*X8=HI9EIEA!lqi zwqUwj;IY7VsJ2TKoCRdlQ~DSj08Jv#KVtdN4wMaudZ8YdMLJ 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