From 5fb7f7f505791da40faeb00b6136441a4f4875c4 Mon Sep 17 00:00:00 2001 From: CyC2018 <1029579233@qq.com> Date: Sat, 24 Mar 2018 22:55:24 +0800 Subject: [PATCH] auto commit --- notes/算法.md | 40 +++++++++--------- pics/051760ba-e658-401f-9a1c-15adcb405191.png | Bin 0 -> 230400 bytes pics/2093ccfa-e560-44f3-84c7-487d66451708.png | Bin 0 -> 37888 bytes pics/7e9d0ef2-acd8-44c0-a76b-f0d2f5e76738.png | Bin 0 -> 78848 bytes pics/7f9a9342-1491-436d-bdd2-0fa94eb0e4f1.png | Bin 0 -> 146432 bytes pics/81eb9879-40f2-421a-87de-2b953cfe8c32.png | Bin 0 -> 117760 bytes pics/867abc3c-8403-43ef-8847-c1fea32996a5.png | Bin 0 -> 94208 bytes pics/a9098783-c24a-45b2-a226-725a59b6768e.png | Bin 0 -> 89088 bytes pics/ae1f3f27-cb47-436d-b8a2-185618851b57.png | Bin 0 -> 165888 bytes pics/cae894a9-2424-4de4-ab41-c15d7054a5e7.png | Bin 0 -> 107520 bytes pics/cc7bfdeb-452e-4fae-9bc8-323338b0dedb.png | Bin 0 -> 95232 bytes pics/d9efd6bd-3f34-497e-911c-16d5ea38ce88.png | Bin 0 -> 84992 bytes pics/dcbd1473-96c3-4ace-8b69-2c9342615e7e.png | Bin 0 -> 54272 bytes 13 files changed, 20 insertions(+), 20 deletions(-) create mode 100644 pics/051760ba-e658-401f-9a1c-15adcb405191.png create mode 100644 pics/2093ccfa-e560-44f3-84c7-487d66451708.png create mode 100644 pics/7e9d0ef2-acd8-44c0-a76b-f0d2f5e76738.png create mode 100644 pics/7f9a9342-1491-436d-bdd2-0fa94eb0e4f1.png create mode 100644 pics/81eb9879-40f2-421a-87de-2b953cfe8c32.png create mode 100644 pics/867abc3c-8403-43ef-8847-c1fea32996a5.png create mode 100644 pics/a9098783-c24a-45b2-a226-725a59b6768e.png create mode 100644 pics/ae1f3f27-cb47-436d-b8a2-185618851b57.png create mode 100644 pics/cae894a9-2424-4de4-ab41-c15d7054a5e7.png create mode 100644 pics/cc7bfdeb-452e-4fae-9bc8-323338b0dedb.png create mode 100644 pics/d9efd6bd-3f34-497e-911c-16d5ea38ce88.png create mode 100644 pics/dcbd1473-96c3-4ace-8b69-2c9342615e7e.png diff --git a/notes/算法.md b/notes/算法.md index 18ba2521..32e21f8a 100644 --- a/notes/算法.md +++ b/notes/算法.md @@ -44,21 +44,21 @@

-

+

## 数学模型 ### 1. 近似 -使用 \~f(N) 来表示所有随着 N 的增大除以 f(N) 的结果趋近于 1 的函数 , 例如 N3/6-N2/2+N/3 \~ N3/6。 +使用 \~f(N) 来表示所有随着 N 的增大除以 f(N) 的结果趋近于 1 的函数,例如 N3/6-N2/2+N/3 \~ N3/6。 -

+

### 2. 增长数量级 增长数量级将算法与它的实现隔离开来,一个算法的增长数量级为 N3 与它是否用 Java 实现,是否运行于特定计算机上无关。 -

+

### 3. 内循环 @@ -125,9 +125,9 @@ public class ThreeSumFast { 例如对于暴力方法的 ThreeSum 算法,近似时间为 \~N3/6。进行如下实验:多次运行该算法,每次取的 N 值为前一次的两倍,统计每次执行的时间,并统计本次运行时间与前一次运行时间的比值,得到如下结果: -

+

-可以看到,T(2N)/T(N)\~23,因此可以确定 T(N) \~ aN2logN。 +可以看到,T(2N)/T(N) \~ 23,因此可以确定 T(N) \~ aN2logN。 ## 注意事项 @@ -157,7 +157,7 @@ public class ThreeSumFast { first-in-last-out(FILO) -

+

**1. 数组实现**
@@ -228,7 +228,7 @@ Item[] arr = (Item[]) new Object[N]; **2. 链表实现**
-需要使用链表的头插法来实现,因为头插法中最后压入栈的元素在链表的开头,它的 next 指针指向前一个压入栈的元素,在弹出元素使就可以让前一个压入栈的元素称为栈顶元素。 +需要使用链表的头插法来实现,因为头插法中最后压入栈的元素在链表的开头,它的 next 指针指向前一个压入栈的元素,在弹出元素使就可以通过 next 指针遍历到前一个压入栈的元素从而让这个元素称为新的栈顶元素。 ```java public class Stack { @@ -269,11 +269,11 @@ public class Stack { first-in-first-out(FIFO) -

+

下面是队列的链表实现,需要维护 first 和 last 节点指针,分别指向队首和队尾。 -这里需要考虑让哪个指针指针链表头部节点,哪个指针指向链表尾部节点。因为出队列操作需要让队首元素的下一个元素成为队首,就需要容易获取下一个元素,而链表的头部节点的 next 指针指向下一个元素,因此让队首指针 first 指针链表的开头。 +这里需要考虑 first 和 last 指针哪个作为链表的开头。因为出队列操作需要让队首元素的下一个元素成为队首,所以需要容易获取下一个元素,而链表的头部节点的 next 指针指向下一个元素,因此可以让 first 指针链表的开头。 ```java public class Queue { @@ -322,13 +322,13 @@ public class Queue { **概览**
-用于解决动态连通性问题,能动态连接两个点,并且判断两个点是否连接。 +用于解决动态连通性问题,能动态连接两个点,并且判断两个点是否连通。 -

+

**API**
-

+

**基本数据结构**
@@ -352,9 +352,9 @@ public class UF { ## quick-find -保证在同一连通分量的所有触点的 id 值相等。 +保证在同一连通分量的所有节点的 id 值相等。 -这种方法可以快速取得一个触点的 id 值,并且判断两个触点是否连通,但是 union 的操作代价却很高,需要将其中一个连通分量中的所有节点 id 值都修改为另一个节点的 id 值。 +这种方法可以快速取得一个节点的 id 值,并且判断两个节点是否连通。但是 union 的操作代价却很高,需要将其中一个连通分量中的所有节点 id 值都修改为另一个节点的 id 值。 ```java public int find(int p) { @@ -373,9 +373,9 @@ public class UF { ## quick-union -在 union 时只将触点的 id 值指向另一个触点 id 值,不直接用 id 来存储所属的连通分量。这样就构成一个倒置的树形结构,根节点需要指向自己。在进行查找一个节点所属的连通分量时,要一直向上查找直到根节点,并使用根节点的 id 值作为本连通分量的 id 值。 +在 union 时只将节点的 id 值指向另一个节点 id 值,不直接用 id 来存储所属的连通分量。这样就构成一个倒置的树形结构,应该注意的是根节点需要指向自己。查找一个节点所属的连通分量时,要一直向上查找直到根节点,并使用根节点的 id 值作为本连通分量的 id 值。 -

+

```java public int find(int p) { @@ -393,7 +393,7 @@ public class UF { 这种方法可以快速进行 union 操作,但是 find 操作和树高成正比,最坏的情况下树的高度为触点的数目。 -

+

## 加权 quick-union @@ -401,7 +401,7 @@ public class UF { 理论研究证明,加权 quick-union 算法构造的树深度最多不超过 logN。 -

+

```java public class WeightedQuickUnionUF { @@ -448,7 +448,7 @@ public class WeightedQuickUnionUF { ## 各种 union-find 算法的比较 -

+

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