From 08c62f6cbb70c1104b8d5b888aa179fba39d0948 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Mon, 30 Nov 2020 22:37:42 +0800
Subject: [PATCH 01/51] =?UTF-8?q?=E6=80=BB=E8=A7=88mindNote?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../QuickLook/Preview.jpg"                     | Bin 0 -> 357758 bytes
 .../contents.xml"                              | Bin 0 -> 99741 bytes
 .../style.mindnodestyle/contents.xml"          | Bin 0 -> 2192 bytes
 .../style.mindnodestyle/metadata.plist"        | Bin 0 -> 152 bytes
 .../viewState.plist"                           | Bin 0 -> 182 bytes
 5 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 "Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/QuickLook/Preview.jpg"
 create mode 100644 "Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/contents.xml"
 create mode 100644 "Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/contents.xml"
 create mode 100644 "Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/metadata.plist"
 create mode 100644 "Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/viewState.plist"

diff --git "a/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/QuickLook/Preview.jpg" "b/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/QuickLook/Preview.jpg"
new file mode 100644
index 0000000000000000000000000000000000000000..5490195a77a935fabeba76c7d6b47835660d5f0a
GIT binary patch
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diff --git "a/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/contents.xml" "b/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/contents.xml"
new file mode 100644
index 0000000000000000000000000000000000000000..dcc4788cef39c324e14220c10438459d1859b293
GIT binary patch
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literal 0
HcmV?d00001

diff --git "a/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/metadata.plist" "b/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/style.mindnodestyle/metadata.plist"
new file mode 100644
index 0000000000000000000000000000000000000000..87c08d884e17bd1db1d75b6da2f552043c5816a2
GIT binary patch
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literal 0
HcmV?d00001

diff --git "a/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/viewState.plist" "b/Week_01/\346\225\260\346\215\256\347\273\223\346\236\204\344\270\216\347\256\227\346\263\225.mindnode/viewState.plist"
new file mode 100644
index 0000000000000000000000000000000000000000..31c778039da8cf607cc5108ad843f0becb0a0b76
GIT binary patch
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HcmV?d00001


From 34336a1037b67a435e15040e6311db493b3e175a Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sat, 5 Dec 2020 22:42:49 +0800
Subject: [PATCH 02/51] =?UTF-8?q?=E4=BD=9C=E4=B8=9A=E5=A4=84=E7=90=86?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

1、改写Deque
2、算法题提交
---
 Week_01/DequeDemo.java |  17 ++++
 Week_01/Week01         | Bin 0 -> 50224 bytes
 Week_01/Week01.c       | 218 +++++++++++++++++++++++++++++++++++++++++
 3 files changed, 235 insertions(+)
 create mode 100644 Week_01/DequeDemo.java
 create mode 100755 Week_01/Week01
 create mode 100644 Week_01/Week01.c

diff --git a/Week_01/DequeDemo.java b/Week_01/DequeDemo.java
new file mode 100644
index 00000000..9b46a30f
--- /dev/null
+++ b/Week_01/DequeDemo.java
@@ -0,0 +1,17 @@
+
+public static void main(String[] args) {
+    Deque<String> deque = new LinkedList<String>();
+    deque.addLast("a");
+    deque.addLast("b");
+    deque.addLast("c");
+    System.out.println(deque);
+
+    String str = deque.peek();
+    System.out.println(str);
+    System.out.println(deque);
+    while (deque.size() > 0) {
+        System.out.println(deque.removeFirst());
+    }
+    System.out.println(deque);
+}
+
diff --git a/Week_01/Week01 b/Week_01/Week01
new file mode 100755
index 0000000000000000000000000000000000000000..b4941e9ac3e953fdf749dcc4abc43426df180fd8
GIT binary patch
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HcmV?d00001

diff --git a/Week_01/Week01.c b/Week_01/Week01.c
new file mode 100644
index 00000000..8942201d
--- /dev/null
+++ b/Week_01/Week01.c
@@ -0,0 +1,218 @@
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <memory.h>
+
+// 打印int数组
+void PrintIntArray(int *a, int size);
+// 加一测试
+void TestPlusOne();
+//删除排序数组中的重复项测试
+void testRemoveDuplicates();
+//旋转数组测试
+void testRotate();
+
+int main(int argc, const char *argv[]) {
+    //testPlusOne();
+    //testRemoveDuplicates();
+    //testRotate();
+    return 0;
+}
+
+/* 加一 */
+int* plusOne(int* digits, int digitsSize, int* returnSize) {
+    for (int i = digitsSize - 1; i >= 0; i--) {
+        if (digits[i] < 9) {
+            digits[i]++;
+            *returnSize = digitsSize;
+            return digits;
+        }
+        digits[i] = 0;
+    }
+    *returnSize = digitsSize + 1;
+    int *newDigits = (int *)malloc(sizeof(int) * (*returnSize));
+    memset(newDigits, 0, (*returnSize) * sizeof(int));
+    newDigits[0] = 1;
+    return newDigits;
+}
+
+void testPlusOne() {
+    int a[] = {0, 0};
+    int digitsSize = sizeof(a) / sizeof(int);
+    int returnSize = 0;
+    int *result = plusOne(a, digitsSize, &returnSize);
+    PrintIntArray(result, returnSize);
+}
+
+/* 26、删除排序数组中的重复项 */
+int removeDuplicates(int* nums, int numsSize){
+    if (numsSize <= 1) return numsSize;
+    int i = 0;
+    for (int j = 1; j < numsSize; j++) {
+        if (nums[j] != nums[i]) {
+            i++;
+            nums[i] = nums[j];
+        }
+    }
+    return i + 1;
+}
+
+void testRemoveDuplicates() {
+    int a[] = {0, 0, 1, 2, 2, 2, 4, 6, 6, 9};
+    int size = sizeof(a) / sizeof(int);
+    int result = removeDuplicates(a, size);
+    printf("resultSize = %d\n", result);
+    PrintIntArray(a, result);
+}
+
+/* 189. 旋转数组 */
+
+//暴力求解
+void rotate01(int* nums, int numsSize, int k) {
+    k %= numsSize;
+    int temp, prev;
+    for (int i = 0; i < k; i++) {
+        prev = nums[numsSize - 1];
+        for (int j = 0; j < numsSize; j++) {
+            temp = prev;
+            prev = nums[j];
+            nums[j] = temp;
+        }
+    }
+}
+
+//使用环状替换
+void rotate02(int* nums, int numsSize, int k) {
+    k %= numsSize;
+    int count = 0;
+    for (int start = 0; count < numsSize; start++) {
+        int current = start;
+        int prev = nums[start];
+        do {
+            int next = (current + k) % numsSize;
+            int temp = nums[next];
+            nums[next] = prev;
+            prev = temp;
+            current = next;
+            count++;
+        } while (start != current);
+    }
+}
+
+//三次翻转（推荐，思路清晰，代码简洁）
+void reverse(int *nums, int start, int end);
+
+void rotate03(int* nums, int numsSize, int k) {
+    k %= numsSize;
+    reverse(nums, 0, numsSize - 1);
+    reverse(nums, 0, k - 1);
+    reverse(nums, k, numsSize - 1);
+}
+
+void reverse(int *nums, int start, int end) {
+    while (start < end) {
+        int temp = nums[start];
+        nums[start] = nums[end];
+        nums[end] = temp;
+        start++;
+        end--;
+    }
+}
+
+void testRotate() {
+    int a[] = {0, 1, 2, 3, 4, 5, 6, 7};
+    int size = sizeof(a) / sizeof(int);
+    //rotate01(a, size, 3);
+    //rotate02(a, size, 3);
+    rotate03(a, size, 3);
+    PrintIntArray(a, size);
+}
+
+/* 合并两个有序链表 */
+struct ListNode {
+    int val;
+    struct ListNode *next;
+};
+
+struct ListNode* mergeTwoLists(struct ListNode* l1, struct ListNode* l2) {
+    if (!l1) return l2;
+    if (!l2) return l1;
+    if (l1->val < l2->val) {
+        l1->next = mergeTwoLists(l1->next, l2);
+        return l1;
+    } else {
+        l2->next = mergeTwoLists(l1, l2->next);
+        return l2;
+    }
+}
+
+/* 88、合并两个有序数组 */
+void merge(int* nums1, int nums1Size, int m, int* nums2, int nums2Size, int n) {
+    int p = m + n - 1, p1 = m - 1, p2 = n - 1;
+    while (p2 >= 0) {
+        if (p1 >= 0) {
+            nums1[p--] = nums1[p1] > nums2[p2] ? nums1[p1--] : nums2[p2--];
+        } else {
+            nums1[p--] = nums2[p2--];
+        }   
+    }
+}
+
+/* 1、两数之和 */
+//暴力
+int* twoSum(int* nums, int numsSize, int target, int* returnSize){
+    for (int i = 0; i < numsSize; i++) {
+        for (int j = i + 1; j < numsSize; j++) {
+            if (nums[i] + nums[j] == target) {
+                int *result = (int *)malloc(sizeof(int) * 2);
+                result[0] = i;
+                result[1] = j;
+                *returnSize = 2;
+                return result;
+            }
+        }
+    }
+    *returnSize = 0;
+    return NULL;
+}
+//哈希表
+
+/* 283、移动零 */
+void moveZeroes(int* nums, int numsSize) {
+    int j = 0;
+    for (int i = 0; i < numsSize; i++) {
+        if (nums[i]) {
+            int temp = nums[i];
+            nums[i] = nums[j];
+            nums[j] = temp;
+            j++;
+        }
+    }
+}
+
+/* 70、爬楼梯 */
+int climbStairs(int n) {
+    int p = 0, q = 0, r = 1;
+    for (int i = 1; i <= n; i++) {
+        p = q;
+        q = r;
+        r = p + q;
+    }
+    return r;
+}
+
+/* 工具方法 */
+
+// 打印int数组
+void PrintIntArray(int *a, int size) {
+    printf("[");
+    for (int i = 0; i < size; i++) {
+        printf("%d", a[i]);
+        if (i != size - 1) {
+            printf(", ");
+        }
+    }
+    printf("]\n");
+}
+
+

From 3e168b4f50bc15a7f7ed9bd8559b11a38f0f6ad3 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 16:08:07 +0800
Subject: [PATCH 03/51] MyCircularDeque

---
 Week_01/DequeDemo.java    |  31 ++++++----
 Week_01/MyCircularDeque   | Bin 0 -> 50216 bytes
 Week_01/MyCircularDeque.c | 125 ++++++++++++++++++++++++++++++++++++++
 Week_01/Week01.c          |  25 ++++++++
 4 files changed, 168 insertions(+), 13 deletions(-)
 create mode 100755 Week_01/MyCircularDeque
 create mode 100644 Week_01/MyCircularDeque.c

diff --git a/Week_01/DequeDemo.java b/Week_01/DequeDemo.java
index 9b46a30f..0178a823 100644
--- a/Week_01/DequeDemo.java
+++ b/Week_01/DequeDemo.java
@@ -1,17 +1,22 @@
 
-public static void main(String[] args) {
-    Deque<String> deque = new LinkedList<String>();
-    deque.addLast("a");
-    deque.addLast("b");
-    deque.addLast("c");
-    System.out.println(deque);
-
-    String str = deque.peek();
-    System.out.println(str);
-    System.out.println(deque);
-    while (deque.size() > 0) {
-        System.out.println(deque.removeFirst());
+public class DequeDemo {
+    public static void main(String[] args) {
+        System.out.println("Hello, world!");
+        Deque<String> deque = new LinkedList<String>();
+        deque.addLast("a");
+        deque.addLast("b");
+        deque.addLast("c");
+        System.out.println(deque);
+    
+        String str = deque.peek();
+        System.out.println(str);
+        System.out.println(deque);
+        while (deque.size() > 0) {
+            System.out.println(deque.removeFirst());
+        }
+        System.out.println(deque);
     }
-    System.out.println(deque);
 }
 
+
+
diff --git a/Week_01/MyCircularDeque b/Week_01/MyCircularDeque
new file mode 100755
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GIT binary patch
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diff --git a/Week_01/MyCircularDeque.c b/Week_01/MyCircularDeque.c
new file mode 100644
index 00000000..25b88108
--- /dev/null
+++ b/Week_01/MyCircularDeque.c
@@ -0,0 +1,125 @@
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <stdbool.h>
+
+typedef struct {
+    int *arr;
+	int head;
+	int tail;
+	int size;
+} MyCircularDeque;
+
+bool myCircularDequeIsFull(MyCircularDeque* obj);
+bool myCircularDequeIsEmpty(MyCircularDeque* obj);
+
+/** Initialize your data structure here. Set the size of the deque to be k. */
+
+MyCircularDeque* myCircularDequeCreate(int k) {
+    MyCircularDeque *obj = (MyCircularDeque *)malloc(sizeof(MyCircularDeque));
+    obj->head = 0;
+    obj->tail = 0;
+    obj->size = k + 1;
+    obj->arr = (int *)malloc(sizeof(int) * (k + 1));
+    return obj;
+}
+
+/** Adds an item at the front of Deque. Return true if the operation is successful. */
+bool myCircularDequeInsertFront(MyCircularDeque* obj, int value) {
+    if (myCircularDequeIsFull(obj)) return false;
+	int pos = (obj->head + obj->size - 1) % obj->size;
+	obj->arr[pos] = value;
+	obj->head = pos;
+	return true;
+}
+
+/** Adds an item at the rear of Deque. Return true if the operation is successful. */
+bool myCircularDequeInsertLast(MyCircularDeque* obj, int value) {
+    if (myCircularDequeIsFull(obj)) return false;
+    obj->arr[obj->tail] = value;
+    obj->tail = (obj->tail + 1) % obj->size;
+    return true;
+}
+
+/** Deletes an item from the front of Deque. Return true if the operation is successful. */
+bool myCircularDequeDeleteFront(MyCircularDeque* obj) {
+    if (myCircularDequeIsEmpty(obj)) return false;
+    obj->head = (obj->head + 1) % obj->size;
+    return true;
+}
+
+/** Deletes an item from the rear of Deque. Return true if the operation is successful. */
+bool myCircularDequeDeleteLast(MyCircularDeque* obj) {
+    if (myCircularDequeIsEmpty(obj)) return false;
+    obj->tail = (obj->size + obj->tail - 1) % obj->size;
+    return true;
+}
+
+/** Get the front item from the deque. */
+int myCircularDequeGetFront(MyCircularDeque* obj) {
+    if (myCircularDequeIsEmpty(obj)) return -1;
+    return obj->arr[obj->head];
+}
+
+/** Get the last item from the deque. */
+int myCircularDequeGetRear(MyCircularDeque* obj) {
+    if (myCircularDequeIsEmpty(obj)) return -1;
+    int pos = (obj->tail - 1 + obj->size) % obj->size;
+    return obj->arr[pos];
+}
+
+/** Checks whether the circular deque is empty or not. */
+bool myCircularDequeIsEmpty(MyCircularDeque* obj) {
+    return (obj->head == obj->tail) ? true : false;
+}
+
+/** Checks whether the circular deque is full or not. */
+bool myCircularDequeIsFull(MyCircularDeque* obj) {
+    return ((obj->head - 1 + obj->size) % obj->size == obj->tail) ? true : false;
+}
+
+int myCircularDequeLength(MyCircularDeque* obj) {
+    if (obj->tail > obj->head) {
+        return obj->tail - obj->head;
+    } else {
+        return obj->tail - obj->head + obj->size;
+    }
+}
+
+void myCircularDequeFree(MyCircularDeque* obj) {
+    free(obj->arr);
+	free(obj);
+	return;
+}
+
+void PrintDeque(MyCircularDeque *obj);
+
+int main(int argc, const char *argv[]) {
+    MyCircularDeque *obj = myCircularDequeCreate(5);
+    myCircularDequeInsertFront(obj, 10);
+    myCircularDequeInsertFront(obj, 20);
+    myCircularDequeInsertFront(obj, 30);
+    myCircularDequeInsertLast(obj, 0);
+    myCircularDequeInsertLast(obj, 1);
+    myCircularDequeDeleteLast(obj);
+    int front = myCircularDequeGetFront(obj);
+    int rear = myCircularDequeGetRear(obj);
+    printf("front=%d, rear=%d\n", front, rear);
+    PrintDeque(obj);
+    return 0;
+}
+
+// 打印
+void PrintDeque(MyCircularDeque *obj) {
+    printf("head=%d, tail=%d, size=%d\n", obj->head, obj->tail, obj->size);
+    printf("arr=[");
+    int length = myCircularDequeLength(obj);
+    int max = obj->head + length;
+    for (int i = obj->head; i < max; i++) {
+        printf("%d", obj->arr[i % obj->size]);
+        if (i != max - 1) {
+            printf(", ");
+        }
+    }
+    printf("]\n");
+}
\ No newline at end of file
diff --git a/Week_01/Week01.c b/Week_01/Week01.c
index 8942201d..6ae9a9af 100644
--- a/Week_01/Week01.c
+++ b/Week_01/Week01.c
@@ -201,6 +201,31 @@ int climbStairs(int n) {
     return r;
 }
 
+/* 42、接雨水 */
+int trap(int* height, int heightSize){
+    int left = 0, right = heightSize - 1;
+    int ans = 0;
+    int left_max = 0, right_max = 0;
+    while (left < right) {
+        if (height[left] < height[right]) {
+            if (height[left] >= left_max) {
+                left_max = height[left];
+            } else {
+                ans += (left_max - height[left]);
+            }
+            left++;
+        } else {
+            if (height[right] >= right_max) {
+                right_max = height[right];
+            } else {
+                ans += (right_max - height[right]);
+            }
+            right--;
+        }
+    }
+    return ans;
+}
+
 /* 工具方法 */
 
 // 打印int数组

From 82f12ace005211da413c474b0f023459bdfbca43 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 16:38:00 +0800
Subject: [PATCH 04/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E5=BF=83=E5=BE=97?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_01/README.md | 14 +++++++++++++-
 1 file changed, 13 insertions(+), 1 deletion(-)

diff --git a/Week_01/README.md b/Week_01/README.md
index 50de3041..186c4c15 100644
--- a/Week_01/README.md
+++ b/Week_01/README.md
@@ -1 +1,13 @@
-学习笔记
\ No newline at end of file
+## 学习笔记
+
+#### 学习感想
+
+原本我觉得学习算法是一个比较枯燥乏味的事情，因为本身的基础不是很好，对数据结构学习不多，平时自己学习很难坚持，但是和大家一起刷题后感觉每解答出一道题还是挺有成就感的，尤其是当自己辛苦编码调试通过后的那一刻，感觉很畅快和欣慰。而且，当看到别人的算法清晰，代码简单的时候，心里莫名的崇拜，奈何没什么文化，只能感叹一声“NB”。哈哈，原来做题也能这么有意思。希望自己能和大家一起学习，坚持这十周让自己有所突破和进步。
+
+#### 根据超哥的介绍自己也稍微总结了下刷题的步骤：
+
+- 想：思考怎么做，不要过于强求，没有思路不用纠结，直接看题解；
+- 写：看过题解后，编写代码，可以选择多种实现方式，成功通过后，分析时间复杂度和空间复杂度；
+- 看：看看国外网站讨论比较多的大神是如何解答的，学习优秀的思想和算法；
+- 练：选择自己觉的比较好的算法，进行多次练习（五毒神掌），最好达到看到类似的题，马上能想到并正确写出代码；
+- 记：在完成以上内容后，可以将思路和代码整理，写成题解（选做：根据时间情况而定）。

From 2f3d3e4993c9726fbd338ddc455f445afbbae07b Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 17:07:08 +0800
Subject: [PATCH 05/51] =?UTF-8?q?=E7=8E=AF=E5=BD=A2=E9=93=BE=E8=A1=A8?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_01/Week01.c | 14 ++++++++++++++
 1 file changed, 14 insertions(+)

diff --git a/Week_01/Week01.c b/Week_01/Week01.c
index 6ae9a9af..1fce7fe1 100644
--- a/Week_01/Week01.c
+++ b/Week_01/Week01.c
@@ -2,6 +2,7 @@
 #include <stdio.h>
 #include <stdlib.h>
 #include <memory.h>
+#include <stdbool.h>
 
 // 打印int数组
 void PrintIntArray(int *a, int size);
@@ -226,6 +227,19 @@ int trap(int* height, int heightSize){
     return ans;
 }
 
+/* 141、环形链表 */
+//快慢指针
+bool hasCycle(struct ListNode *head) {
+    struct ListNode *fast = head;
+    struct ListNode *slow = head;
+    while (fast && fast->next) {
+        fast = fast->next->next;
+        slow = slow->next;
+        if (fast == slow) return true;
+    }
+    return false;
+}
+
 /* 工具方法 */
 
 // 打印int数组

From b9a4a61b19256b689603db0a576ad3149e22a260 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 22:16:47 +0800
Subject: [PATCH 06/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E6=84=9F=E6=83=B3?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_01/README.md | 38 ++++++++++++++++++++++++++++++++++++++
 1 file changed, 38 insertions(+)

diff --git a/Week_01/README.md b/Week_01/README.md
index 186c4c15..a2871294 100644
--- a/Week_01/README.md
+++ b/Week_01/README.md
@@ -11,3 +11,41 @@
 - 看：看看国外网站讨论比较多的大神是如何解答的，学习优秀的思想和算法；
 - 练：选择自己觉的比较好的算法，进行多次练习（五毒神掌），最好达到看到类似的题，马上能想到并正确写出代码；
 - 记：在完成以上内容后，可以将思路和代码整理，写成题解（选做：根据时间情况而定）。
+
+#### 基本数据结构
+
+- 数组（顺序结构）
+	- 可以快速的查找元素，随机访问，时间复杂度O(1)
+	- 插入删除需要搬移数据，时间复杂度O(n)
+	- 无需为逻辑关系而增加额外的存储空间。
+
+- 链表
+	- 不支持随机访问，时间复杂度O(n)
+	- 插入和删除便捷，时间复杂度O(1)
+	- 比数组占用更多的存储空间。
+	- 单链表，next
+	- 双向链表，prev和next
+	- 循环链表，尾结点指向头结点
+	- 静态链表，数组描述的链表
+
+- 栈
+	- 先进后出
+	- 入栈出栈时间复杂度O(1)
+	- 应用：浏览器前进后退、括号匹配、表达式计算
+
+- 队列
+	- 先进先出
+	- 入队出队时间复杂度O(1)
+	- 应用：LRU Cache、操作有限资源
+	- 双边队列：入口出口都可以入队出队（可作为栈和队列使用）
+	- 优先级队列：根据优先级出队
+
+#### 进阶数据结构
+
+- 跳表
+	- 有序链表
+	- 插入删除搜索时间复杂度O(logn)
+	- 空间复杂度O(n)，典型的空间换时间
+	- 增加索引，维护成本高
+	- 应用：Redis、LevelDB
+

From a46547dcd7d0b0f8c39ff1a273db328d935ce2db Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 22:29:42 +0800
Subject: [PATCH 07/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E7=AC=94=E8=AE=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_01/README.md | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/Week_01/README.md b/Week_01/README.md
index a2871294..c9c2071c 100644
--- a/Week_01/README.md
+++ b/Week_01/README.md
@@ -39,6 +39,9 @@
 	- 应用：LRU Cache、操作有限资源
 	- 双边队列：入口出口都可以入队出队（可作为栈和队列使用）
 	- 优先级队列：根据优先级出队
+	- 循环队列：头尾相连，空出一个位置不用
+		- 队空条件(front==rear)
+		- 队满条件(rear+1)%size==front
 
 #### 进阶数据结构
 

From 0533a2c8119d085e2c2e6cf2befe5c3c1cfea3b0 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 6 Dec 2020 22:42:30 +0800
Subject: [PATCH 08/51] =?UTF-8?q?=E9=80=92=E5=BD=92=E5=92=8C=E8=BF=AD?=
 =?UTF-8?q?=E4=BB=A3?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_01/README.md | 15 +++++++++++++++
 1 file changed, 15 insertions(+)

diff --git a/Week_01/README.md b/Week_01/README.md
index c9c2071c..682047b9 100644
--- a/Week_01/README.md
+++ b/Week_01/README.md
@@ -52,3 +52,18 @@
 	- 增加索引，维护成本高
 	- 应用：Redis、LevelDB
 
+#### 迭代和递归
+
+斐波那契数列是个典型的例子。
+
+- 递归
+	- 必须有递归终止条件
+	- 直接或间接调用自己
+	- 选择结构，使程序更简洁易懂
+	- 但是大量递归建立函数的副本，耗费大量空间时间
+
+- 迭代
+	- 循环结构
+	- 不需要反复调用
+	- 不需要占用额外内存
+

From b97cec04a1b992d132ba83c23ad63d4050f614a6 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 13 Dec 2020 20:38:20 +0800
Subject: [PATCH 09/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E7=AC=94=E8=AE=B0?=
 =?UTF-8?q?=E7=AC=AC=E4=BA=8C=E5=91=A8?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_02/README.md | 138 +++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 137 insertions(+), 1 deletion(-)

diff --git a/Week_02/README.md b/Week_02/README.md
index 50de3041..e123fc83 100644
--- a/Week_02/README.md
+++ b/Week_02/README.md
@@ -1 +1,137 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 学习感想
+
+这是学习的第二周了，第一周学习的内容以前自学过，感觉没那么吃力，第二周的课程看到题目后就觉得没那么简单，不过看完老师的视频觉得没有自己想象的那么难，感觉以前都是被这些名字给吓到了。
+
+这周学完对基本的数据结构也算有了一定的了解，希望在以后的学习上能将这些知识理解并收为己用，解决自身学习和工作中的问题。
+
+## 哈希表（散列表）Hash Table
+
+- 根据关键码值（Key Value）直接访问的数据结构
+- 加快查找速度，数组的一种扩展
+
+
+#### 散列函数
+哈希表的映射函数叫做散列函数。散列函数生成的值要尽可能的随机和均匀分布。
+
+- 散列函数计算得到的散列值是一个非负整数；
+- 如果 key1 = key2，那 hash(key1) == hash(key2)；
+- 如果 key1 ≠ key2，那 hash(key1) ≠ hash(key2)。
+
+#### 散列冲突
+
+装载因子：散列表的装载因子 = 填入表中的元素个数 / 散列表的长度，装载因子越大说明空闲位置越少，冲突越多，散列表的性能会下降。
+
+##### 解决冲突的办法
+
+- 开放寻址法
+	- 适合数据量小，装载因子小的场景
+	- 二次探测，双重散列
+
+- 链表法
+	- 基于链表的散列冲突处理方法比较适合存储大对象、大数据量的散列表
+	- 比起开放寻址法，它更加灵活，支持更多的优化策略，比如用红黑树代替链表	
+
+## 树 Tree
+
+- 高度（从下往上，从0开始）
+- 深度（从上往下，从0开始）
+- 层（和深度差不多，从1开始）
+- 数的高度（根节点的高度）
+- 根节点（没有父节点）
+- 叶子节点（没有子节点）
+
+### 二叉树
+
+- 只有两个节点，左子节点，右子节点
+- 满二叉树
+	- 叶子节点都在最底层，
+	- 除了叶子节点，所有节点都有两个子节点
+- 完全二叉树
+	- 叶子节点都在最底下两层
+	- 最后一层叶子节点都靠左排列
+	- 其他层节点个数都达到最大
+
+#### 二叉树的遍历
+
+- 前序遍历是指
+	- 对于树中的任意节点来说，先打印这个节点，
+	- 然后再打印它的左子树，
+	- 最后打印它的右子树。
+- 中序遍历是指
+	- 对于树中的任意节点来说，先打印它的左子树，
+	- 然后再打印它本身，
+	- 最后打印它的右子树。
+- 后序遍历是指
+	- 对于树中的任意节点来说，先打印它的左子树，
+	- 然后再打印它的右子树，
+	- 最后打印这个节点本身。
+
+
+```
+前序遍历的递推公式：
+preOrder(r) = print r->preOrder(r->left)->preOrder(r->right)
+
+中序遍历的递推公式：
+inOrder(r) = inOrder(r->left)->print r->inOrder(r->right)
+
+后序遍历的递推公式：
+postOrder(r) = postOrder(r->left)->postOrder(r->right)->print r
+
+```
+
+
+### 二叉查找树
+
+- 左子树中每个节点的值都小于此节点的值
+- 右子树中每个节点的值都大于此节点的值
+- 左右子树也分别为二叉查找树
+
+#### 二叉查找树基本操作
+
+- 查询
+- 插入
+- 删除
+- 快速找到最大和最小节点
+
+## 堆 Heap
+
+- 大顶堆或大根堆（根节点最大）
+- 小顶堆或小根堆（根节点最小）
+
+### 二叉堆
+
+- 堆是一颗完全二叉树。
+- 堆中每一个节点的值都必须大于等于（或小于等于）其子树中每个节点的值。
+
+#### 二叉堆实现细节
+- 一般是数组实现
+- 假设根节点为0
+	- 索引为i的左子节点 2*i+1
+	- 索引为i的右子节点 2*i+2
+	- 索引为i的父节点 floor((i-1)/2)
+
+#### 二叉堆基本操作
+
+- 插入（HeapifyUp）
+	- 插入堆尾部
+	- 依次向上调整结构，到根即可
+	- O(logN)
+- 删除（HeapifyDown）
+	- 将堆尾元素替换到顶部（替换被删除元素）
+	- 一次从根部向下调整，到底即可
+
+## 图 Graph
+
+- Graph(V, E)
+- V - vertex: 点
+	- 度 入度和出度
+	- 点与点之间：连通与否
+- E - edge: 边
+	- 有向和无向（单行线）
+	- 权重（边长）
+
+
+
+

From dc0c5f66405ed861c52c661b54330924484fa575 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 13 Dec 2020 22:52:54 +0800
Subject: [PATCH 10/51] =?UTF-8?q?=E7=AC=AC=E4=BA=8C=E5=91=A8=E4=BD=9C?=
 =?UTF-8?q?=E4=B8=9A?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_02/AddDigits.swift                  |  44 ++++++++
 Week_02/BinaryTree.swift                 | 120 ++++++++++++++++++++
 Week_02/FizzBuzz.swift                   |  66 +++++++++++
 Week_02/GroupAnagrams.swift              |  28 +++++
 Week_02/Intersect.swift                  |  41 +++++++
 Week_02/LemonnadeChange.swift            |  31 ++++++
 Week_02/MaxArea.swift                    |  32 ++++++
 Week_02/NAryTree.swift                   | 135 +++++++++++++++++++++++
 Week_02/RemoveOutermostParentheses.swift |  22 ++++
 Week_02/SlidingWindowMaximum.swift       |  80 ++++++++++++++
 Week_02/TopKFrequent.swift               |  23 ++++
 Week_02/Trap.swift                       |  34 ++++++
 Week_02/TwoSum.swift                     |  34 ++++++
 Week_02/UglyNumber.swift                 |  28 +++++
 Week_02/ValidAnagram.swift               |  75 +++++++++++++
 15 files changed, 793 insertions(+)
 create mode 100644 Week_02/AddDigits.swift
 create mode 100644 Week_02/BinaryTree.swift
 create mode 100644 Week_02/FizzBuzz.swift
 create mode 100644 Week_02/GroupAnagrams.swift
 create mode 100644 Week_02/Intersect.swift
 create mode 100644 Week_02/LemonnadeChange.swift
 create mode 100644 Week_02/MaxArea.swift
 create mode 100644 Week_02/NAryTree.swift
 create mode 100644 Week_02/RemoveOutermostParentheses.swift
 create mode 100644 Week_02/SlidingWindowMaximum.swift
 create mode 100644 Week_02/TopKFrequent.swift
 create mode 100644 Week_02/Trap.swift
 create mode 100644 Week_02/TwoSum.swift
 create mode 100644 Week_02/UglyNumber.swift
 create mode 100644 Week_02/ValidAnagram.swift

diff --git a/Week_02/AddDigits.swift b/Week_02/AddDigits.swift
new file mode 100644
index 00000000..8fc5afdc
--- /dev/null
+++ b/Week_02/AddDigits.swift
@@ -0,0 +1,44 @@
+//
+//  AddDigits.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/11.
+//
+
+import Foundation
+
+class AddDigits {
+    /// 各位相加
+    /*
+     思考
+     x*100 + y*10 + z = x*99 + y*9 + x+y+z
+     */
+    
+    func addDigits(_ num: Int) -> Int {
+        return (num - 1) % 9 + 1
+    }
+    
+    func addDigits01(_ num: Int) -> Int {
+        if num % 9 == 0 {
+            return num == 0 ? num : 9
+        } else {
+            return num % 9
+        }
+    }
+    
+    /// 递归
+    func addDigits02(_ num: Int) -> Int {
+        if num < 10 {
+            return num
+        } else {
+            var sum = 0
+            var temp = num
+            while temp != 0 {
+                sum += temp % 10;
+                temp /= 10;
+            }
+            return addDigits(sum)
+        }
+    }
+    
+}
diff --git a/Week_02/BinaryTree.swift b/Week_02/BinaryTree.swift
new file mode 100644
index 00000000..68447097
--- /dev/null
+++ b/Week_02/BinaryTree.swift
@@ -0,0 +1,120 @@
+//
+//  BinaryTree.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class BinaryTree {
+    
+    /* 中序遍历 */
+    
+    /// 递归
+    func inorderTraversal(_ root: TreeNode?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var res: [Int] = []
+        res += inorderTraversal(root.left)
+        res.append(root.val)
+        res += inorderTraversal(root.right)
+        return res
+    }
+    
+    
+    /// 迭代
+    func inorderTraversal01(_ root: TreeNode?) -> [Int] {
+        var stack: [TreeNode] = []
+        var result: [Int] = []
+        var node: TreeNode? = root
+        while node != nil || !stack.isEmpty {
+            while node != nil {
+                stack.append(node!)
+                node = node!.left
+            }
+            node = stack.popLast()
+            result.append(node!.val)
+            node = node?.right
+        }
+        return result
+    }
+    
+    /// Morris 算法
+    func inorderTraversal02(_ root: TreeNode?) -> [Int] {
+        var current, predecessor: TreeNode?
+        var res: [Int] = []
+        current = root
+        while current != nil {
+            // 如果没有左孩子，则直接访问右孩子
+            if current!.left == nil {
+                res.append(current!.val)
+                current = current!.right
+            } else {
+                // predecessor 节点就是当前 root 节点向左走一步，然后一直向右走至无法走为止
+                predecessor = current!.left
+                while predecessor!.right != nil && predecessor!.right !== current {
+                    predecessor = predecessor!.right
+                }
+                
+                // 让 predecessor 的右指针指向 root，继续遍历左子树
+                if predecessor!.right === current {
+                    predecessor!.right = nil
+                    res.append(current!.val)
+                    current = current!.right
+                }
+                // 说明左子树已经访问完了，我们需要断开链接
+                else {
+                    predecessor!.right = current
+                    current = current!.left
+                }
+            }
+        }
+        return res
+    }
+    
+    /* 前序遍历 */
+    
+    /// 递归
+    func preorderTraversal(_ root: TreeNode?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var res: [Int] = []
+        res.append(root.val)
+        res += preorderTraversal(root.left)
+        res += preorderTraversal(root.right)
+        return res
+    }
+    
+}
+
+public class TreeNode {
+    public var val: Int
+    public var left: TreeNode?
+    public var right: TreeNode?
+    
+    public init() {
+        self.val = 0;
+        self.left = nil;
+        self.right = nil;
+    }
+    
+    public init(_ val: Int) {
+        self.val = val;
+        self.left = nil;
+        self.right = nil;
+    }
+    
+    public init(_ val: Int, _ left: TreeNode?, _ right: TreeNode?) {
+        self.val = val
+        self.left = left
+        self.right = right
+    }
+    
+    
+    
+    
+}
+
diff --git a/Week_02/FizzBuzz.swift b/Week_02/FizzBuzz.swift
new file mode 100644
index 00000000..70170832
--- /dev/null
+++ b/Week_02/FizzBuzz.swift
@@ -0,0 +1,66 @@
+//
+//  FizzBuzz.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/10.
+//
+
+import Foundation
+
+class FizzBuzz {
+    
+    func fizzBuzz(_ n: Int) -> [String] {
+        var res = [String]()
+        let dic = [3: "Fizz", 5: "Buzz"]
+        for i in 1...n {
+            var string = ""
+            for key in dic.keys.sorted(by: <) {
+                if i % key == 0 {
+                    string.append(dic[key]!)
+                }
+            }
+            if string == "" {
+                string.append(String(i))
+            }
+            res.append(string)
+        }
+        return res
+    }
+    
+    func fizzBuzz01(_ n: Int) -> [String] {
+        var res = [String]()
+        for i in 1...n {
+            var string = ""
+            if i % 3 == 0 {
+                string.append("Fizz")
+            }
+            if i % 5 == 0 {
+                string.append("Buzz")
+            }
+            if string == "" {
+                string.append(String(i))
+            }
+            res.append(string)
+        }
+        return res
+    }
+    
+    func fizzBuzz02(_ n: Int) -> [String] {
+        var res = [String]()
+        for i in 1...n {
+            var string = ""
+            if i % 3 == 0 && i % 5 == 0 {
+                string.append("FizzBuzz")
+            } else if i % 3 == 0 {
+                string.append("Fizz")
+            } else if i % 5 == 0 {
+                string.append("Buzz")
+            }
+            if string == "" {
+                string.append(String(i))
+            }
+            res.append(string)
+        }
+        return res
+    }
+}
diff --git a/Week_02/GroupAnagrams.swift b/Week_02/GroupAnagrams.swift
new file mode 100644
index 00000000..e6953e30
--- /dev/null
+++ b/Week_02/GroupAnagrams.swift
@@ -0,0 +1,28 @@
+//
+//  GroupAnagrams.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class GroupAnagrams {
+    
+    func groupAnagrams(_ strs: [String]) -> [[String]] {
+        var hashMap = [String: [String]]()
+        for str in strs {
+            let key = String(str.sorted())
+            if hashMap[key] == nil {
+                hashMap[key] = []
+            }
+            hashMap[key]!.append(str)
+        }
+        return Array(hashMap.values)
+    }
+    
+    func test(_ strs: [String]) {
+        let result = groupAnagrams(strs)
+        print(result)
+    }
+}
diff --git a/Week_02/Intersect.swift b/Week_02/Intersect.swift
new file mode 100644
index 00000000..ff50a5f5
--- /dev/null
+++ b/Week_02/Intersect.swift
@@ -0,0 +1,41 @@
+//
+//  Intersect.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/7.
+//
+
+import Foundation
+
+class Intersect {
+    /// 350 两个数组的交集 II
+    func intersect(_ nums1: [Int], _ nums2: [Int]) -> [Int] {
+        guard nums1.count <= nums2.count else {
+            return intersect(nums2, nums1)
+        }
+        var hs = [Int: Int](), res = [Int]()
+        for num in nums1 {
+            if let record = hs[num] {
+                hs[num] = record + 1
+            } else {
+                hs[num] = 1
+            }
+        }
+        for num in nums2 {
+            if let record = hs[num] {
+                if record > 0 {
+                    res.append(num)
+                    hs[num] = record - 1
+                }
+            }
+        }
+        return res
+    }
+    
+    func test() {
+        let nums1 = [1,2,2,1]
+        let nums2 = [2,2]
+        let result = intersect(nums1, nums2)
+        print(result)
+    }
+}
diff --git a/Week_02/LemonnadeChange.swift b/Week_02/LemonnadeChange.swift
new file mode 100644
index 00000000..fbd95f14
--- /dev/null
+++ b/Week_02/LemonnadeChange.swift
@@ -0,0 +1,31 @@
+//
+//  LemonnadeChange.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/10.
+//
+
+import Foundation
+
+class LemonnadeChange {
+    /// 柠檬水找零(贪心算法)
+    func lemonadeChange(_ bills: [Int]) -> Bool {
+        var five = 0, ten = 0
+        for b in bills {
+            if b == 5 {
+                five += 1
+            } else if b == 10 {
+                five -= 1; ten += 1
+            } else if ten > 0 {
+                five -= 1; ten -= 1
+            } else {
+                five -= 3
+            }
+            //每次找零结束后判断5元数量若小于0,找零失败
+            if five < 0 {
+                return false
+            }
+        }
+        return true
+    }
+}
diff --git a/Week_02/MaxArea.swift b/Week_02/MaxArea.swift
new file mode 100644
index 00000000..eba3b237
--- /dev/null
+++ b/Week_02/MaxArea.swift
@@ -0,0 +1,32 @@
+//
+//  MaxArea.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/10.
+//
+
+import Foundation
+
+/*
+ 左右指针夹逼办法
+ 1、初始左右指针最大宽度
+ 2、小值向内移动
+ 3、求面积和原来的面积比较，大的赋值
+ */
+
+class MaxArea {
+    /// 最大区域
+    func maxArea(_ height: [Int]) -> Int {
+        var left = 0, right = height.count - 1, res = 0
+        while left < right {
+            let area = min(height[left], height[right]) * (right - left)
+            if height[left] < height[right] {
+                left += 1
+            } else {
+                right -= 1
+            }
+            res = max(res, area)
+        }
+        return res
+    }
+}
diff --git a/Week_02/NAryTree.swift b/Week_02/NAryTree.swift
new file mode 100644
index 00000000..24a28028
--- /dev/null
+++ b/Week_02/NAryTree.swift
@@ -0,0 +1,135 @@
+//
+//  N_aryTree.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/13.
+//
+
+import Foundation
+
+class NAryTree {
+    /* 前序遍历 */
+    /// 递归
+    func preorder(_ root: Node?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var res = [Int]()
+        res.append(root.val)
+        for node in root.children {
+            res += preorder(node)
+        }
+        return res
+    }
+    
+    /// 迭代
+    func preorder01(_ root: Node?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var stack = [Node]()
+        stack.append(root)
+        var res = [Int]()
+        while !stack.isEmpty {
+            let node = stack.popLast()
+            res.append(node!.val)
+            if node!.children.isEmpty {
+                continue
+            }
+            for child in node!.children.reversed() {
+                stack.append(child)
+            }
+        }
+        return res
+    }
+    
+    /* 后序遍历 */
+    /// 递归
+    func postorder(_ root: Node?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var res = [Int]()
+        for node in root.children {
+            res += postorder(node)
+        }
+        res.append(root.val)
+        return res
+    }
+    
+    /// 迭代
+    func postorder01(_ root: Node?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var arr = [Node]()
+        arr.append(root)
+        var res = [Int]()
+        while !arr.isEmpty {
+            let node = arr.popLast()
+            res.insert(node!.val, at: 0)
+            if node!.children.isEmpty {
+                continue
+            }
+            for child in node!.children {
+                arr.append(child)
+            }
+        }
+        return res
+    }
+    
+    /* 层序遍历 */
+    /// 递归 dfs
+    func levelOrder(_ root: Node?) -> [[Int]] {
+        var res = [[Int]]()
+        func dfs(_ root: Node?, _ depth: Int) {
+            guard let root = root else {
+                return
+            }
+            if res.count <= depth {
+                res.append([])
+            }
+            res[depth].append(root.val)
+            for ch in root.children {
+                dfs(ch, depth + 1)
+            }
+        }
+        dfs(root, 0)
+        return res
+    }
+    
+    /// 迭代 bfs
+    func levelOrder01(_ root: Node?) -> [[Int]] {
+        var res = [[Int]]()
+        guard let root = root else {
+            return res
+        }
+        var queue = [Node]()
+        queue.insert(root, at: 0)
+        while !queue.isEmpty {
+            var level = [Int]()
+            for _ in 0..<queue.count {
+                let current = queue.popLast()
+                level.append(current!.val)
+                if current!.children.isEmpty {
+                   continue
+                }
+                for child in current!.children {
+                    queue.insert(child, at: 0)
+                }
+            }
+            res.append(level)
+        }
+        return res
+    }
+    
+}
+
+public class Node {
+    public var val: Int
+    public var children: [Node]
+    public init(_ val: Int) {
+        self.val = val
+        self.children = []
+    }
+}
diff --git a/Week_02/RemoveOutermostParentheses.swift b/Week_02/RemoveOutermostParentheses.swift
new file mode 100644
index 00000000..73af8106
--- /dev/null
+++ b/Week_02/RemoveOutermostParentheses.swift
@@ -0,0 +1,22 @@
+//
+//  RemoveOutermostParentheses.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/9.
+//
+
+import Foundation
+
+class RemoveOutermostParentheses {
+    /// 移除最外层括号
+    func removeOuterParentheses(_ S: String) -> String {
+        var count = 0
+        var res = ""
+        for c in S {
+            if c == ")" { count -= 1 }
+            if count >= 1 { res.append(c) }
+            if c == "(" { count += 1 }
+        }
+        return res
+    }
+}
diff --git a/Week_02/SlidingWindowMaximum.swift b/Week_02/SlidingWindowMaximum.swift
new file mode 100644
index 00000000..7729faeb
--- /dev/null
+++ b/Week_02/SlidingWindowMaximum.swift
@@ -0,0 +1,80 @@
+//
+//  SlidingWindowMaximum.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/8.
+//
+
+import Foundation
+
+class SlidingWindowMaximum {
+    /// 滑动窗口最大值
+    func maxSlidingWindow(_ nums: [Int], _ k: Int) -> [Int] {
+        guard k > 0 && nums.count > 0 else {
+            return []
+        }
+        var queue = [Int]()
+        var res = [Int]()
+        //没成窗前k个数
+        for i in 0..<k {
+            //入队前比较,小于新入队的数字直接移除
+            while !queue.isEmpty && queue.last! < nums[i] {
+                queue.removeLast()
+            }
+            //新数入队
+            queue.append(nums[i])
+        }
+        //第一个结果得出
+        res.append(queue.first!)
+        //成窗后
+        for i in k..<nums.count {
+            //查看被移除的数是不是最大的数,是的话移除
+            if queue.first! == nums[i - k] {
+                queue.removeFirst()
+            }
+            //入队前比较,小于新入队的数字直接移除
+            while !queue.isEmpty && queue.last! < nums[i] {
+                queue.removeLast()
+            }
+            //新数入队
+            queue.append(nums[i])
+            //队的第一个数始终是最大的
+            res.append(queue.first!)
+        }
+        return res
+    }
+    
+    /*
+    func maxSlidingWindow(_ nums: [Int], _ k: Int) -> [Int] {
+        guard k > 0 && nums.count > 0 else {
+            return []
+        }
+        var queue = [Int]()
+        var res = [Int]()
+        var j = 1 - k
+        for i in 0..<nums.count {
+            if j > 0 && queue.first! == nums[j - 1] {
+                queue.removeFirst()
+            }
+            while !queue.isEmpty && queue.last! < nums[i] {
+                queue.removeLast()
+            }
+            queue.append(nums[i])
+            if j >= 0 {
+                res.append(queue.first!)
+            }
+            j += 1
+        }
+        return res
+    }
+    */
+    
+    func test() {
+        let nums = [1, -2, 3, -4, 5, 6, 7, 8, 2]
+        let k = 3
+        let result = maxSlidingWindow(nums, k)
+        print(result)
+    }
+}
+
+
diff --git a/Week_02/TopKFrequent.swift b/Week_02/TopKFrequent.swift
new file mode 100644
index 00000000..6ca51331
--- /dev/null
+++ b/Week_02/TopKFrequent.swift
@@ -0,0 +1,23 @@
+//
+//  TopKFrequent.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/13.
+//
+
+import Foundation
+
+class TopKFrequent {
+    func topKFrequent(_ nums: [Int], _ k: Int) -> [Int] {
+        var dic = [Int: Int]()
+        for i in nums {
+            dic[i] = (dic[i] ?? 0) + 1
+        }
+        let a = dic.sorted(by: {$0.1 < $1.1})
+        var res = [Int](repeating: 0, count: k)
+        for j in 0..<k {
+            res[j] = a[j].key
+        }
+        return res
+    }
+}
diff --git a/Week_02/Trap.swift b/Week_02/Trap.swift
new file mode 100644
index 00000000..bb5a7b7e
--- /dev/null
+++ b/Week_02/Trap.swift
@@ -0,0 +1,34 @@
+//
+//  Trap.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/9.
+//
+
+import Foundation
+
+class Trap {
+    /// 接雨水
+    func trap(_ height: [Int]) -> Int {
+        var left = 0, right = height.count - 1
+        var leftMax = 0, rightMax = 0, res = 0
+        while left < right {
+            if height[left] < height[right] {
+                if height[left] < leftMax {
+                    res += leftMax - height[left]
+                } else {
+                    leftMax = height[left]
+                }
+                left += 1
+            } else {
+                if height[right] < rightMax {
+                    res += rightMax - height[right]
+                } else {
+                    rightMax = height[right]
+                }
+                right -= 1
+            }
+        }
+        return res
+    }
+}
diff --git a/Week_02/TwoSum.swift b/Week_02/TwoSum.swift
new file mode 100644
index 00000000..03635e04
--- /dev/null
+++ b/Week_02/TwoSum.swift
@@ -0,0 +1,34 @@
+//
+//  TwoSum.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/7.
+//
+
+import Foundation
+
+class TwoSum {
+    /// 1 两数之和
+    func twoSum(_ nums: [Int], _ target: Int) -> [Int] {
+        var dict = [Int: Int]()
+        for i in 0 ..< nums.count {
+            //如果存在返回
+            if let index = dict[target - nums[i]] {
+                return [index, i]
+            }
+            //如果不存在,记录值
+            dict[nums[i]] = i
+        }
+        return []
+    }
+    
+    func test() {
+        let nums = [2,7,11,15]
+        let target = 9
+        let result = twoSum(nums, target)
+        print(result)
+    }
+    
+}
+
+
diff --git a/Week_02/UglyNumber.swift b/Week_02/UglyNumber.swift
new file mode 100644
index 00000000..6ec954fc
--- /dev/null
+++ b/Week_02/UglyNumber.swift
@@ -0,0 +1,28 @@
+//
+//  UglyNumber.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/13.
+//
+
+import Foundation
+
+/*
+ 我们把只包含质因子 2、3 和 5 的数称作丑数（Ugly Number）。
+ 可以用2|3|5相乘得到的数字叫做丑数
+ */
+
+class UglyNumber {
+    func nthUglyNumber(_ n: Int) -> Int {
+        var dp = [Int](repeating: 1, count: n)
+        var a = 0, b = 0, c = 0
+        for i in 1..<n {
+            let n2 = dp[a] * 2, n3 = dp[b] * 3, n5 = dp[c] * 5
+            dp[i] = min(n2, n3, n5)
+            if dp[i] == n2 { a += 1 }
+            if dp[i] == n3 { b += 1 }
+            if dp[i] == n5 { c += 1 }
+        }
+        return dp[n - 1]
+    }
+}
diff --git a/Week_02/ValidAnagram.swift b/Week_02/ValidAnagram.swift
new file mode 100644
index 00000000..be290264
--- /dev/null
+++ b/Week_02/ValidAnagram.swift
@@ -0,0 +1,75 @@
+//
+//  ValidAnagram.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class ValidAnagram {
+    /// 有效异位词
+    func isAnagram(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        if s.sorted() == t.sorted() {
+            return true
+        } else {
+            return false
+        }
+    }
+    
+    // 数组方式
+    func isAnagram01(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var arr = [Int](repeating: 0, count: 26)
+        for c in s {
+            let i = numFromCharacter(c) - numFromCharacter("a")
+            arr[i] += 1
+        }
+        for c in t {
+            let i = numFromCharacter(c) - numFromCharacter("a")
+            arr[i] -= 1
+            if arr[i] < 0 {
+                return false
+            }
+        }
+        return true
+    }
+    
+    func numFromCharacter(_ char: Character) -> Int {
+        let str = String(char)
+        var number: Int = 0
+        for code in str.unicodeScalars {
+            number = Int(code.value)
+        }
+        return number
+    }
+    
+    //字典方式
+    func isAnagram02(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var hashMap = [Character: Int]()
+        for c in s {
+            if hashMap[c] == nil {
+                hashMap[c] = 0
+            }
+            hashMap[c]! += 1
+        }
+        for c in t {
+            if hashMap[c] == nil {
+                return false
+            }
+            hashMap[c]! -= 1
+            if hashMap[c]! < 0 {
+                return false
+            }
+        }
+        return true
+    }
+}

From 781363ac5b3aec17337c4c26293eea52bfd1249f Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 13 Dec 2020 23:05:25 +0800
Subject: [PATCH 11/51] =?UTF-8?q?=E6=80=BB=E7=BB=93=E4=BC=98=E5=8C=96?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_02/README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Week_02/README.md b/Week_02/README.md
index e123fc83..27af93ea 100644
--- a/Week_02/README.md
+++ b/Week_02/README.md
@@ -37,7 +37,7 @@
 
 - 高度（从下往上，从0开始）
 - 深度（从上往下，从0开始）
-- 层（和深度差不多，从1开始）
+- 层（从上往下，从1开始）
 - 数的高度（根节点的高度）
 - 根节点（没有父节点）
 - 叶子节点（没有子节点）

From 774936a64ade1db3c460bfbcb2a359c225e3a854 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 14 Dec 2020 16:56:25 +0800
Subject: [PATCH 12/51] =?UTF-8?q?=E6=9C=80=E9=AB=98=E9=A2=91k=E4=B8=AA?=
 =?UTF-8?q?=E8=AF=8D?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

修改排序方式
---
 Week_02/TopKFrequent.swift | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Week_02/TopKFrequent.swift b/Week_02/TopKFrequent.swift
index 6ca51331..79d87c7e 100644
--- a/Week_02/TopKFrequent.swift
+++ b/Week_02/TopKFrequent.swift
@@ -13,7 +13,7 @@ class TopKFrequent {
         for i in nums {
             dic[i] = (dic[i] ?? 0) + 1
         }
-        let a = dic.sorted(by: {$0.1 < $1.1})
+        let a = dic.sorted { $0.1 > $1.1 }
         var res = [Int](repeating: 0, count: k)
         for j in 0..<k {
             res[j] = a[j].key

From 66044835de21d436cd07d83f581e2c872ca3771e Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Mon, 14 Dec 2020 22:27:48 +0800
Subject: [PATCH 13/51] =?UTF-8?q?=E4=BA=8C=E5=8F=89=E6=A0=91=E9=81=8D?=
 =?UTF-8?q?=E5=8E=86?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

增加其他遍历方式
---
 Week_02/BinaryTree.swift | 137 ++++++++++++++++++++++++++++++++++-----
 1 file changed, 119 insertions(+), 18 deletions(-)

diff --git a/Week_02/BinaryTree.swift b/Week_02/BinaryTree.swift
index 68447097..0ee81bf2 100644
--- a/Week_02/BinaryTree.swift
+++ b/Week_02/BinaryTree.swift
@@ -16,33 +16,74 @@ class BinaryTree {
         guard let root = root else {
             return []
         }
-        var res: [Int] = []
-        res += inorderTraversal(root.left)
+        var res = [Int]()
+        res.append(contentsOf: inorderTraversal(root.left))
         res.append(root.val)
-        res += inorderTraversal(root.right)
+        res.append(contentsOf: inorderTraversal(root.right))
         return res
     }
     
-    
     /// 迭代
-    func inorderTraversal01(_ root: TreeNode?) -> [Int] {
-        var stack: [TreeNode] = []
-        var result: [Int] = []
-        var node: TreeNode? = root
+    func inorderTraversal10(_ root: TreeNode?) -> [Int] {
+        var stack = [TreeNode]()
+        var res = [Int]()
+        var node = root
         while node != nil || !stack.isEmpty {
             while node != nil {
+                //如果有左节点,一直向左
                 stack.append(node!)
                 node = node!.left
             }
+            //结果
             node = stack.popLast()
-            result.append(node!.val)
+            res.append(node!.val)
+            //右边节点
             node = node?.right
         }
-        return result
+        return res
+    }
+    /// 迭代
+    func preorderTraversal11(_ root: TreeNode?) -> [Int] {
+        var stack = [TreeNode]()
+        var res = [Int]()
+        var node = root
+        while node != nil || !stack.isEmpty {
+            if node != nil {
+                //如果有左节点,一直向左
+                stack.append(node!)
+                node = node!.left
+            } else {
+                //结果
+                node = stack.popLast()
+                res.append(node!.val)
+                //右边节点
+                node = node?.right
+            }
+        }
+        return res
+    }
+    /// 迭代
+    func preorderTraversal12(_ root: TreeNode?) -> [Int] {
+        var res = [Int]()
+        guard let root = root else {
+            return res
+        }
+        var stack = [root]
+        while !stack.isEmpty {
+            let node = stack.popLast()
+            res.append(node!.val)
+            if node!.right != nil {
+                stack.append(node!.right!)
+            }
+            if node!.left != nil {
+                stack.append(node!.left!)
+            }
+        }
+        return res
     }
     
     /// Morris 算法
-    func inorderTraversal02(_ root: TreeNode?) -> [Int] {
+    func inorderTraversal20(_ root: TreeNode?) -> [Int] {
         var current, predecessor: TreeNode?
         var res: [Int] = []
         current = root
@@ -57,7 +98,6 @@ class BinaryTree {
                 while predecessor!.right != nil && predecessor!.right !== current {
                     predecessor = predecessor!.right
                 }
-                
                 // 让 predecessor 的右指针指向 root，继续遍历左子树
                 if predecessor!.right === current {
                     predecessor!.right = nil
@@ -83,8 +123,73 @@ class BinaryTree {
         }
         var res: [Int] = []
         res.append(root.val)
-        res += preorderTraversal(root.left)
-        res += preorderTraversal(root.right)
+        res.append(contentsOf: preorderTraversal(root.left))
+        res.append(contentsOf: preorderTraversal(root.right))
+        return res
+    }
+    
+    /// 迭代
+    func preorderTraversal10(_ root: TreeNode?) -> [Int] {
+        var stack = [TreeNode]()
+        var res = [Int]()
+        var node = root
+        while node != nil || !stack.isEmpty {
+            while node != nil {
+                //节点加入
+                res.append(node!.val)
+                //有左一直向左
+                stack.append(node!)
+                node = node!.left
+            }
+            node = stack.popLast()
+            //右边节点
+            node = node?.right
+        }
+        return res
+    }
+    
+    /* 后序遍历 */
+    
+    /// 递归
+    func postorderTraversal(_ root: TreeNode?) -> [Int] {
+        guard let root = root else {
+            return []
+        }
+        var res = [Int]()
+        res.append(contentsOf: postorderTraversal(root.left))
+        res.append(contentsOf: postorderTraversal(root.right))
+        res.append(root.val)
+        return res
+    }
+    
+    /// 迭代
+    func postorderTraversal10(_ root: TreeNode?) -> [Int] {
+        var stack = [TreeNode]()
+        var res = [Int]()
+        var node = root
+        var prev: TreeNode? = nil
+        while node != nil || !stack.isEmpty {
+            //一路向左
+            while node != nil {
+                stack.append(node!)
+                node = node!.left
+            }
+            node = stack.popLast()
+            //右子节点等于nil,没有右子节点
+            //右子节点等于prev,遍历完右子节点回到根节点
+            if node?.right == nil || node?.right === prev {
+                //值加入结果并设置为上次遍历值
+                res.append(node!.val)
+                prev = node
+                //node设置为空,循环继续从栈内取值
+                node = nil
+            } else {
+                //右子节点不为空,节点加入栈
+                stack.append(node!)
+                //向右走
+                node = node!.right
+            }
+        }
         return res
     }
     
@@ -112,9 +217,5 @@ public class TreeNode {
         self.left = left
         self.right = right
     }
-    
-    
-    
-    
 }
 

From 5e0b3202e8e9a84bd2697ca1e621692833acae8e Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Mon, 14 Dec 2020 22:34:20 +0800
Subject: [PATCH 14/51] =?UTF-8?q?=E4=BF=AE=E6=AD=A3=E5=89=8D=E5=BA=8F?=
 =?UTF-8?q?=E9=81=8D=E5=8E=86=E5=92=8C=E4=B8=AD=E5=BA=8F=E9=81=8D=E5=8E=86?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_02/BinaryTree.swift | 43 ++++++++++++++++++++--------------------
 1 file changed, 22 insertions(+), 21 deletions(-)

diff --git a/Week_02/BinaryTree.swift b/Week_02/BinaryTree.swift
index 0ee81bf2..e661def5 100644
--- a/Week_02/BinaryTree.swift
+++ b/Week_02/BinaryTree.swift
@@ -43,7 +43,7 @@ class BinaryTree {
         return res
     }
     /// 迭代
-    func preorderTraversal11(_ root: TreeNode?) -> [Int] {
+    func inorderTraversal11(_ root: TreeNode?) -> [Int] {
         var stack = [TreeNode]()
         var res = [Int]()
         var node = root
@@ -62,25 +62,6 @@ class BinaryTree {
         }
         return res
     }
-    /// 迭代
-    func preorderTraversal12(_ root: TreeNode?) -> [Int] {
-        var res = [Int]()
-        guard let root = root else {
-            return res
-        }
-        var stack = [root]
-        while !stack.isEmpty {
-            let node = stack.popLast()
-            res.append(node!.val)
-            if node!.right != nil {
-                stack.append(node!.right!)
-            }
-            if node!.left != nil {
-                stack.append(node!.left!)
-            }
-        }
-        return res
-    }
     
     /// Morris 算法
     func inorderTraversal20(_ root: TreeNode?) -> [Int] {
@@ -148,6 +129,26 @@ class BinaryTree {
         return res
     }
     
+    /// 迭代
+    func preorderTraversal11(_ root: TreeNode?) -> [Int] {
+        var res = [Int]()
+        guard let root = root else {
+            return res
+        }
+        var stack = [root]
+        while !stack.isEmpty {
+            let node = stack.popLast()
+            res.append(node!.val)
+            if node!.right != nil {
+                stack.append(node!.right!)
+            }
+            if node!.left != nil {
+                stack.append(node!.left!)
+            }
+        }
+        return res
+    }
+    
     /* 后序遍历 */
     
     /// 递归
@@ -163,7 +164,7 @@ class BinaryTree {
     }
     
     /// 迭代
-    func postorderTraversal10(_ root: TreeNode?) -> [Int] {
+    func postorderTraversal01(_ root: TreeNode?) -> [Int] {
         var stack = [TreeNode]()
         var res = [Int]()
         var node = root

From 3641b6ab5650e4859fcbf59ad13bb77b7bf7f0a7 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Tue, 15 Dec 2020 15:06:13 +0800
Subject: [PATCH 15/51] =?UTF-8?q?=E4=BA=8C=E5=8F=89=E6=A0=91=E4=B8=AD?=
 =?UTF-8?q?=E5=BA=8F=E9=81=8D=E5=8E=86=E7=9A=84Morris=E7=AE=97=E6=B3=95?=
 =?UTF-8?q?=E6=95=B4=E7=90=86?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_02/BinaryTree.swift | 54 +++++++++++++++++++++++-----------------
 1 file changed, 31 insertions(+), 23 deletions(-)

diff --git a/Week_02/BinaryTree.swift b/Week_02/BinaryTree.swift
index e661def5..a3603467 100644
--- a/Week_02/BinaryTree.swift
+++ b/Week_02/BinaryTree.swift
@@ -9,7 +9,7 @@ import Foundation
 
 class BinaryTree {
     
-    /* 中序遍历 */
+    // MARK: 中序遍历
     
     /// 递归
     func inorderTraversal(_ root: TreeNode?) -> [Int] {
@@ -63,39 +63,45 @@ class BinaryTree {
         return res
     }
     
-    /// Morris 算法
+    /*
+     Morris 算法
+     1.current如果没有有左子节点,直接加入结果,current向右走一步
+     2.predecessor节点就是当前current节点向左走一步,然后一直向右走至无法走为止
+     3.predecessor处于最右,若不等于current,将predecessor右子节点指向current
+     4.predecessor等于current说明遍历完左子树,断开链接,current向右走一步
+     */
     func inorderTraversal20(_ root: TreeNode?) -> [Int] {
-        var current, predecessor: TreeNode?
-        var res: [Int] = []
-        current = root
+        var res = [Int]()
+        var current = root
+        var predecessor: TreeNode? = nil
         while current != nil {
-            // 如果没有左孩子，则直接访问右孩子
+            // 如果没有左子节点，则直接访问右子节点
             if current!.left == nil {
                 res.append(current!.val)
                 current = current!.right
+                continue
+            }
+            //predecessor 节点就是当前 root 节点向左走一步 然后一直向右走至无法走为止
+            predecessor = current!.left
+            while predecessor!.right != nil && predecessor!.right !== current {
+                predecessor = predecessor!.right
+            }
+            
+            if predecessor!.right === current {
+                // 说明左子树已经访问完了，我们需要断开链接
+                predecessor!.right = nil
+                res.append(current!.val)
+                current = current!.right
             } else {
-                // predecessor 节点就是当前 root 节点向左走一步，然后一直向右走至无法走为止
-                predecessor = current!.left
-                while predecessor!.right != nil && predecessor!.right !== current {
-                    predecessor = predecessor!.right
-                }
                 // 让 predecessor 的右指针指向 root，继续遍历左子树
-                if predecessor!.right === current {
-                    predecessor!.right = nil
-                    res.append(current!.val)
-                    current = current!.right
-                }
-                // 说明左子树已经访问完了，我们需要断开链接
-                else {
-                    predecessor!.right = current
-                    current = current!.left
-                }
+                predecessor!.right = current
+                current = current!.left
             }
         }
         return res
     }
     
-    /* 前序遍历 */
+    // MARK: 前序遍历
     
     /// 递归
     func preorderTraversal(_ root: TreeNode?) -> [Int] {
@@ -149,7 +155,7 @@ class BinaryTree {
         return res
     }
     
-    /* 后序遍历 */
+    // MARK: 后序遍历
     
     /// 递归
     func postorderTraversal(_ root: TreeNode?) -> [Int] {
@@ -196,6 +202,8 @@ class BinaryTree {
     
 }
 
+// MARK: -
+
 public class TreeNode {
     public var val: Int
     public var left: TreeNode?

From 57a58c2251c4e53e79fd40fd89ae15adc283353a Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 20 Dec 2020 21:41:23 +0800
Subject: [PATCH 16/51] =?UTF-8?q?=E7=AC=AC=E4=B8=89=E5=91=A8=E6=80=BB?=
 =?UTF-8?q?=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_03/README.md | 68 ++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 67 insertions(+), 1 deletion(-)

diff --git a/Week_03/README.md b/Week_03/README.md
index 50de3041..90d7506c 100644
--- a/Week_03/README.md
+++ b/Week_03/README.md
@@ -1 +1,67 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+
+第三周的学习有些不太好，递归逻辑老是梳理不对，搞不懂分治和回溯咋回事，好难！！！
+
+## 递归
+#### 一、什么是递归？
+1. 递归是一种非常高效、简洁的编码技巧，一种应用非常广泛的算法，比如DFS深度优先搜索、前中后序二叉树遍历等都是使用递归。
+2. 方法或函数调用自身的方式称为递归调用，调用称为递，返回称为归。
+3. 基本上，所有的递归问题都可以用递推公式来表示，比如
+f(n) = f(n-1) + 1; 
+f(n) = f(n-1) + f(n-2);
+f(n)=n*f(n-1);
+
+#### 二、为什么使用递归？递归的优缺点？
+1. 优点：代码的表达力很强，写起来简洁。
+2. 缺点：空间复杂度高、有堆栈溢出风险、存在重复计算、过多的函数调用会耗时较多等问题。
+
+
+#### 三、什么样的问题可以用递归解决呢？
+1. 问题的解可以分解为几个子问题的解。何为子问题？就是数据规模更小的问题。
+2. 问题与子问题，除了数据规模不同，求解思路完全一样
+3. 存在递归终止条件
+
+
+#### 四、如何实现递归？
+
+##### 递归的代码模板
+1. 递归终止条件
+2. 处理当前层
+3. 下探到下一层
+4. 清理当前层
+
+##### 递归思维要点
+
+1. 抵制人肉递归
+2. 找最近重复性
+3. 数学归纳法思维
+
+
+#### 五、递归常见问题及解决方案
+1. 警惕堆栈溢出：可以声明一个全局变量来控制递归的深度，从而避免堆栈溢出。
+2. 警惕重复计算：通过某种数据结构来保存已经求解过的值，从而避免重复计算。
+
+
+#### 六、如何将递归改写为非递归代码？
+笼统的讲，所有的递归代码都可以改写为迭代循环的非递归写法。如何做？抽象出递推公式、初始值和边界条件，然后用迭代循环实现。
+
+## 分治（分而治之）
+
+分治是一种处理问题的思想，多适合用递归来实现。
+
+* 分解：将原问题分解成一系列子问题；
+* 解决：递归地求解各个子问题，若子问题足够小，则直接求解；
+* 合并：将子问题的结果合并成原问题。
+
+分治算法能解决的问题，一般需要满足下面这几个条件：
+
+* 原问题与分解成的小问题具有相同的模式；
+* 原问题分解成的子问题可以独立求解，子问题之间没有相关性；
+* 具有分解终止条件，也就是说，当问题足够小时，可以直接求解；
+* 可以将子问题合并成原问题，而这个合并操作的复杂度不能太高，否则就起不到减小算法总体复杂度的效果了。
+
+## 回溯
+
+回溯算法的思想非常简单，大部分情况下，都是用来解决广义的搜索问题，也就是，从一组可能的解中，选择出一个满足要求的解。回溯算法非常适合用递归来实现，在实现的过程中，剪枝操作是提高回溯效率的一种技巧。利用剪枝，我们并不需要穷举搜索所有的情况，从而提高搜索效率。
\ No newline at end of file

From f77cdc809c156d69fac5e82a65d1ccd7bdfaac09 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 20 Dec 2020 22:38:48 +0800
Subject: [PATCH 17/51] =?UTF-8?q?=E7=AC=AC=E4=B8=89=E5=91=A8=E4=BD=9C?=
 =?UTF-8?q?=E4=B8=9A?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_03/BuildTree.swift            |  35 +++++++++
 Week_03/Codec.swift                |  40 ++++++++++
 Week_03/Combinations.swift         |  36 +++++++++
 Week_03/GenerateParenthesis.swift  |  32 ++++++++
 Week_03/InvertTree.swift           |  47 +++++++++++
 Week_03/IsValidBST.swift           |  96 +++++++++++++++++++++++
 Week_03/LowestCommonAncestor.swift |  29 +++++++
 Week_03/MaxDepth.swift             |  15 ++++
 Week_03/MinDepth.swift             |  41 ++++++++++
 Week_03/MyCircularDeque.swift      | 121 +++++++++++++++++++++++++++++
 Week_03/Permutations.swift         |  54 +++++++++++++
 Week_03/PermuteUnique.swift        |  35 +++++++++
 Week_03/Pow.swift                  |  21 +++++
 Week_03/ReversePrint.swift         |  86 ++++++++++++++++++++
 Week_03/Tree.swift                 |  43 ++++++++++
 15 files changed, 731 insertions(+)
 create mode 100644 Week_03/BuildTree.swift
 create mode 100644 Week_03/Codec.swift
 create mode 100644 Week_03/Combinations.swift
 create mode 100644 Week_03/GenerateParenthesis.swift
 create mode 100644 Week_03/InvertTree.swift
 create mode 100644 Week_03/IsValidBST.swift
 create mode 100644 Week_03/LowestCommonAncestor.swift
 create mode 100644 Week_03/MaxDepth.swift
 create mode 100644 Week_03/MinDepth.swift
 create mode 100644 Week_03/MyCircularDeque.swift
 create mode 100644 Week_03/Permutations.swift
 create mode 100644 Week_03/PermuteUnique.swift
 create mode 100644 Week_03/Pow.swift
 create mode 100644 Week_03/ReversePrint.swift
 create mode 100644 Week_03/Tree.swift

diff --git a/Week_03/BuildTree.swift b/Week_03/BuildTree.swift
new file mode 100644
index 00000000..6c7770d9
--- /dev/null
+++ b/Week_03/BuildTree.swift
@@ -0,0 +1,35 @@
+//
+//  BuildTree.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/19.
+//
+
+import Foundation
+
+class BuildTree {
+    //根据前序遍历和中序遍历构造二叉树
+    func buildTree(_ preorder: [Int], _ inorder: [Int]) -> TreeNode? {
+        guard preorder.count == inorder.count else {
+            return nil
+        }
+        var inDict = [Int: Int]()
+        for (index, value) in inorder.enumerated() {
+            inDict[value] = index
+        }
+        return myBuildTree(preorder, inDict, 0, preorder.count - 1, 0, inorder.count - 1)
+    }
+    
+    func myBuildTree(_ preorder: [Int], _ inDict: [Int: Int], _ preLeft: Int, _ preRight: Int, _ inLeft: Int, _ inRight: Int) -> TreeNode? {
+        guard preLeft <= preRight && inLeft <= inRight else {
+            return nil
+        }
+        let rootVal = preorder[preLeft]
+        let rootIndex = inDict[rootVal]
+        let node = TreeNode(rootVal)
+        node.left = myBuildTree(preorder, inDict, preLeft + 1, rootIndex! - inLeft + preLeft, inLeft, rootIndex! - 1)
+        node.right = myBuildTree(preorder, inDict, rootIndex! - inLeft + preLeft + 1, preRight, rootIndex! + 1, inRight)
+        return node
+    }
+    
+}
diff --git a/Week_03/Codec.swift b/Week_03/Codec.swift
new file mode 100644
index 00000000..68508c11
--- /dev/null
+++ b/Week_03/Codec.swift
@@ -0,0 +1,40 @@
+//
+//  Codec.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/20.
+//
+
+import Foundation
+
+/// 序列化和反序列化一个二叉树
+
+class Codec {
+    
+    func serialize(_ root: TreeNode?) -> String {
+        var res = ""
+        guard let root = root else {
+            return res + "nil,"
+        }
+        res += "\(root.val),"
+        res += serialize(root.left)
+        res += serialize(root.right)
+        return res
+    }
+    
+    func deserialize(_ data: String) -> TreeNode? {
+        var array = data.split(separator: ",")
+        return deserializeHelper(&array)
+    }
+    func deserializeHelper(_ data: inout [Substring]) -> TreeNode? {
+        if data.first == "nil" {
+            data.removeFirst()
+            return nil
+        }
+        let node = TreeNode(Int(String(data.first!))!)
+        data.removeFirst()
+        node.left = deserializeHelper(&data)
+        node.right = deserializeHelper(&data)
+        return node
+    }
+}
diff --git a/Week_03/Combinations.swift b/Week_03/Combinations.swift
new file mode 100644
index 00000000..87bd3b5b
--- /dev/null
+++ b/Week_03/Combinations.swift
@@ -0,0 +1,36 @@
+//
+//  Combinations.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/19.
+//
+
+import Foundation
+
+class Combinations {
+    
+    var temp = [Int]()
+    var ans = [[Int]]()
+    func combine(_ n: Int, _ k: Int) -> [[Int]] {
+        dfs(1, n, k)
+        return ans
+    }
+    func dfs(_ cur: Int, _ n: Int, _ k: Int) {
+        // 剪枝：temp 长度加上区间 [cur, n] 的长度小于 k，不可能构造出长度为 k 的 temp
+        if temp.count + (n - cur + 1) < k {
+            return
+        }
+        //记录合法答案
+        if temp.count == k {
+            ans.append(Array(temp))
+            return
+        }
+        // 考虑选择当前位置
+        temp.append(cur)
+        dfs(cur + 1, n, k)
+        temp.removeLast()
+        // 考虑不选择当前位置
+        dfs(cur + 1, n, k)
+    }
+    
+}
diff --git a/Week_03/GenerateParenthesis.swift b/Week_03/GenerateParenthesis.swift
new file mode 100644
index 00000000..de1b98e6
--- /dev/null
+++ b/Week_03/GenerateParenthesis.swift
@@ -0,0 +1,32 @@
+//
+//  GenerateParenthesis.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/15.
+//
+
+import Foundation
+
+class GenerateParenthesis {
+    
+    func generateParenthesis(_ n: Int) -> [String] {
+        var res = [String]()
+        generate(0, 0, n, "", &res)
+        return res
+    }
+    
+    func generate(_ left: Int, _ right: Int, _ n: Int, _ s: String, _ res: inout [String]) {
+        if left == n && right == n {
+            res.append(s)
+            return
+        }
+        if left < n {
+            generate(left + 1, right, n, s + "(", &res)
+        }
+        if left > right {
+            generate(left, right + 1, n, s + ")", &res)
+        }
+    }
+    
+    
+}
diff --git a/Week_03/InvertTree.swift b/Week_03/InvertTree.swift
new file mode 100644
index 00000000..7d72ed38
--- /dev/null
+++ b/Week_03/InvertTree.swift
@@ -0,0 +1,47 @@
+//
+//  InvertTree.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/18.
+//
+
+import Foundation
+
+class InvertTree {
+    
+    /*
+     * 时间复杂度：O(n)，n为树的节点数。
+     * 空间复杂度：O(n)，n为递归栈深度。
+     */
+    func invertTree(_ root: TreeNode?) -> TreeNode? {
+        guard let root = root else {
+            return nil
+        }
+        //交换左右节点的值  drill down
+        (root.left, root.right) = (invertTree(root.right), invertTree(root.left))
+        return root
+    }
+    
+    /*
+     * 时间复杂度：O(n)，n为树的节点数。
+     * 空间复杂度：O(n)，n为栈深度。
+     */
+    func invertTree10(_ root: TreeNode?) -> TreeNode? {
+        guard let root = root else {
+            return nil
+        }
+        var stack = [root]
+        while !stack.isEmpty {
+            let node = stack.popLast()
+            (node!.left, node!.right) = (node!.right, node!.left)
+            if let left = node?.left {
+                stack.append(left)
+            }
+            if let right = node?.right {
+                stack.append(right)
+            }
+        }
+        return root
+    }
+    
+}
diff --git a/Week_03/IsValidBST.swift b/Week_03/IsValidBST.swift
new file mode 100644
index 00000000..7c7c335d
--- /dev/null
+++ b/Week_03/IsValidBST.swift
@@ -0,0 +1,96 @@
+//
+//  IsValidBST.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/18.
+//
+
+import Foundation
+
+class IsValidBST {
+    
+    /*
+     递归
+     时间复杂度:O(n)
+     空间复杂度:O(n)
+     */
+    
+    func isValidBST(_ root: TreeNode?) -> Bool {
+        return helper(root, Int.min, Int.max)
+    }
+    func helper(_ root: TreeNode?, _ min: Int, _ max: Int) -> Bool {
+        guard let root = root else {
+            return true
+        }
+        if root.val >= max || root.val <= min {
+            return false
+        }
+        let leftResult = helper(root.left, min, root.val)
+        let rightResult = helper(root.right, root.val, max)
+        return leftResult && rightResult
+    }
+    
+    /*
+     中序遍历
+     时间复杂度:O(n)
+     空间复杂度:O(n)
+     */
+    func isValidBST10(_ root: TreeNode?) -> Bool {
+        var stack = [TreeNode]()
+        var node = root
+        var last = Int.min
+        while node != nil || !stack.isEmpty {
+            while node != nil {
+                stack.append(node!)
+                node = node!.left
+            }
+            node = stack.popLast()
+            if node!.val <= last {
+                return false
+            }
+            last = node!.val
+            node = node!.right
+        }
+        return true
+    }
+    
+    //中序遍历递归
+    func isValidBST11(_ root: TreeNode?) -> Bool {
+        //内嵌函数
+        func inorder(_ root: TreeNode?) -> Bool {
+            guard let root = root else {
+                return true
+            }
+            if inorder(root.left) {
+                if root.val <= last {
+                    return false
+                }
+                last = root.val
+                return inorder(root.right)
+            }
+            return false
+        }
+        var last = Int.min
+        return inorder(root)
+    }
+    
+    //中序遍历递归
+    func isValidBST12(_ root: TreeNode?) -> Bool {
+        var last = Int.min
+        return inorder(root, &last)
+    }
+    func inorder(_ root: TreeNode?, _ last: inout Int) -> Bool {
+        guard let root = root else {
+            return true
+        }
+        if inorder(root.left, &last) {
+            if root.val <= last {
+                return false
+            }
+            last = root.val
+            return inorder(root.right, &last)
+        }
+        return false
+    }
+    
+}
diff --git a/Week_03/LowestCommonAncestor.swift b/Week_03/LowestCommonAncestor.swift
new file mode 100644
index 00000000..3ff80e9e
--- /dev/null
+++ b/Week_03/LowestCommonAncestor.swift
@@ -0,0 +1,29 @@
+//
+//  LowestCommonAncestor.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/17.
+//
+
+import Foundation
+
+class LowestCommonAncestor {
+    
+    /*
+     时间复杂度：O(n)，其中n为树的节点总数。
+     空间复杂度：O(n)，其中n为树的节点总数。
+     */
+    
+    func lowestCommonAncestor(_ root: TreeNode?, _ p: TreeNode?, _ q: TreeNode?) -> TreeNode? {
+        //如果root为空直接就是空,如果root等于p或者q,直接就是最近公共祖先
+        if root == nil || root === p || root === q { return root }
+        //递归
+        let left = lowestCommonAncestor(root!.left, p, q)
+        let right = lowestCommonAncestor(root!.right, p, q)
+        //根据情况处理返回值
+        if left == nil { return right }
+        if right == nil { return left }
+        return root
+    }
+    
+}
diff --git a/Week_03/MaxDepth.swift b/Week_03/MaxDepth.swift
new file mode 100644
index 00000000..0c06aa5c
--- /dev/null
+++ b/Week_03/MaxDepth.swift
@@ -0,0 +1,15 @@
+//
+//  MaxDepth.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/18.
+//
+
+import Foundation
+
+class MaxDepth {
+    func maxDepth(_ root: TreeNode?) -> Int {
+        guard let root = root else { return 0 }
+        return max(maxDepth(root.left), maxDepth(root.right)) + 1
+    }
+}
diff --git a/Week_03/MinDepth.swift b/Week_03/MinDepth.swift
new file mode 100644
index 00000000..e1bc4e13
--- /dev/null
+++ b/Week_03/MinDepth.swift
@@ -0,0 +1,41 @@
+//
+//  MinDepth.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/19.
+//
+
+import Foundation
+
+class MinDepth {
+    
+    func minDepth(_ root: TreeNode?) -> Int {
+        guard let root = root else {
+            return 0
+        }
+        if root.left == nil && root.right == nil {
+            return 1
+        }
+        var minD = Int.max
+        if root.left != nil {
+            minD = min(minDepth(root.left), minD)
+        }
+        if root.right != nil {
+            minD = min(minDepth(root.right), minD)
+        }
+        return minD + 1
+    }
+    
+    func minDepth10(_ root: TreeNode?) -> Int {
+        guard let root = root else {
+            return 0
+        }
+        let left = minDepth(root.left)
+        let right = minDepth(root.right)
+        if left == 0 || right == 0 {
+            return left + right + 1
+        }
+        return min(left, right) + 1
+    }
+    
+}
diff --git a/Week_03/MyCircularDeque.swift b/Week_03/MyCircularDeque.swift
new file mode 100644
index 00000000..655847e8
--- /dev/null
+++ b/Week_03/MyCircularDeque.swift
@@ -0,0 +1,121 @@
+//
+//  MyCircularDeque.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/18.
+//
+
+import Foundation
+
+class MyCircularDeque {
+    var head: Int
+    var tail: Int
+    let size: Int
+    var array: [Int]
+    /** Initialize your data structure here. Set the size of the deque to be k. */
+    init(_ k: Int) {
+        head = 0
+        tail = 0
+        size = k + 1
+        array = [Int](repeating: 0, count: k + 1)
+    }
+    
+    /** Adds an item at the front of Deque. Return true if the operation is successful. */
+    func insertFront(_ value: Int) -> Bool {
+        if isFull() {
+            return false
+        }
+        head = (head - 1 + size) % size
+        array[head] = value
+        return true
+    }
+    
+    /** Adds an item at the rear of Deque. Return true if the operation is successful. */
+    func insertLast(_ value: Int) -> Bool {
+        if isFull() {
+            return false
+        }
+        array[tail] = value
+        tail = (tail + 1) % size
+        return true
+    }
+    
+    /** Deletes an item from the front of Deque. Return true if the operation is successful. */
+    func deleteFront() -> Bool {
+        if isEmpty() {
+            return false
+        }
+        head = (head + 1) % size
+        return true
+    }
+    
+    /** Deletes an item from the rear of Deque. Return true if the operation is successful. */
+    func deleteLast() -> Bool {
+        if isEmpty() {
+            return false
+        }
+        tail = (tail - 1 + size) % size
+        return true
+    }
+    
+    /** Get the front item from the deque. */
+    func getFront() -> Int {
+        if isEmpty() {
+            return -1
+        }
+        return array[head]
+    }
+    
+    /** Get the last item from the deque. */
+    func getRear() -> Int {
+        if isEmpty() {
+            return -1
+        }
+        let pos = (tail - 1 + size) % size
+        return array[pos]
+    }
+    
+    /** Checks whether the circular deque is empty or not. */
+    func isEmpty() -> Bool {
+        return head == tail
+    }
+    
+    /** Checks whether the circular deque is full or not. */
+    func isFull() -> Bool {
+        return head == ((tail + 1) % size)
+    }
+    
+}
+
+/**
+ * Your MyCircularDeque object will be instantiated and called as such:
+ * let obj = MyCircularDeque(k)
+ * let ret_1: Bool = obj.insertFront(value)
+ * let ret_2: Bool = obj.insertLast(value)
+ * let ret_3: Bool = obj.deleteFront()
+ * let ret_4: Bool = obj.deleteLast()
+ * let ret_5: Int = obj.getFront()
+ * let ret_6: Int = obj.getRear()
+ * let ret_7: Bool = obj.isEmpty()
+ * let ret_8: Bool = obj.isFull()
+ */
+
+extension MyCircularDeque {
+    class func test() {
+        let deque = MyCircularDeque(5)
+        print(deque.getRear())
+        print(deque.getFront())
+        print(deque.insertLast(1))
+        print(deque.insertFront(4))
+        print(deque.insertLast(2))
+        print(deque.insertLast(3))
+        print(deque.insertLast(5))
+        print(deque.insertLast(6))
+        print(deque.head, deque.tail, deque.size)
+        print(deque.array)
+        print(deque.isFull())
+        print(deque.isEmpty())
+        print(deque.getRear())
+        print(deque.getFront())
+    }
+}
diff --git a/Week_03/Permutations.swift b/Week_03/Permutations.swift
new file mode 100644
index 00000000..09a571a1
--- /dev/null
+++ b/Week_03/Permutations.swift
@@ -0,0 +1,54 @@
+//
+//  Permutations.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/19.
+//
+
+import Foundation
+
+class Permutations {
+    
+    func permute(_ nums: [Int]) -> [[Int]] {
+        func backtrack(_ n: Int, _ first: Int) {
+            if first == n {
+                res.append(Array(output))
+            }
+            for i in first..<n {
+                output.swapAt(first, i)
+                backtrack(n, first + 1)
+                output.swapAt(first, i)
+            }
+        }
+        var res = [[Int]]()
+        var output = nums
+        backtrack(output.count, 0)
+        return res
+    }
+    
+    
+    func permute10(_ nums: [Int]) -> [[Int]] {
+        func backtrack() {
+            if temp.count == nums.count {
+                res.append(Array(temp))
+                return
+            }
+            for i in 0..<nums.count {
+                if visited[i] == true {
+                    continue
+                }
+                temp.append(nums[i])
+                visited[i] = true
+                backtrack()
+                visited[i] = false
+                temp.removeLast()
+            }
+        }
+        var res = [[Int]]()
+        var temp = [Int]()
+        var visited = [Bool](repeating: false, count: nums.count)
+        backtrack()
+        return res
+    }
+    
+}
diff --git a/Week_03/PermuteUnique.swift b/Week_03/PermuteUnique.swift
new file mode 100644
index 00000000..33afba8d
--- /dev/null
+++ b/Week_03/PermuteUnique.swift
@@ -0,0 +1,35 @@
+//
+//  PermuteUnique.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/20.
+//
+
+import Foundation
+
+class PermuteUnique {
+    func permuteUnique(_ nums: [Int]) -> [[Int]] {
+        func backstrack(_ index: Int) {
+            if temp.count == numsSorted.count {
+                res.append(Array(temp))
+                return
+            }
+            for i in 0..<numsSorted.count {
+                if visited[i] || (i > 0 && numsSorted[i] == numsSorted[i - 1] && !visited[i - 1]) {
+                    continue
+                }
+                temp.append(numsSorted[i])
+                visited[i] = true
+                backstrack(index + 1)
+                visited[i] = false
+                temp.remove(at: index)
+            }
+        }
+        var res = [[Int]]()
+        var temp = [Int]()
+        let numsSorted = nums.sorted()
+        var visited = [Bool](repeating: false, count: nums.count)
+        backstrack(0)
+        return res
+    }
+}
diff --git a/Week_03/Pow.swift b/Week_03/Pow.swift
new file mode 100644
index 00000000..b38ba4e8
--- /dev/null
+++ b/Week_03/Pow.swift
@@ -0,0 +1,21 @@
+//
+//  Pow.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/20.
+//
+
+import Foundation
+
+class Pow {
+    func myPow(_ x: Double, _ n: Int) -> Double {
+        return n > 0 ? myPowHelper(x, n) : 1 / myPowHelper(x, -n)
+    }
+    func myPowHelper(_ x: Double, _ n: Int) -> Double {
+        if x == 1.0 || n == 0 { return 1.0 }
+        if x == 0.0 { return 0.0 }
+        if n == 1 { return x }
+        let y = myPowHelper(x, n / 2);
+        return n % 2 == 0 ? y * y : y * y * x;
+    }
+}
diff --git a/Week_03/ReversePrint.swift b/Week_03/ReversePrint.swift
new file mode 100644
index 00000000..a6c06f98
--- /dev/null
+++ b/Week_03/ReversePrint.swift
@@ -0,0 +1,86 @@
+//
+//  ReversePrint.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/17.
+//
+
+import Foundation
+
+class ReversePrint {
+    // MARK: 递归
+    
+    /*
+     - 时间复杂度：O(n)，其中 n 为链表节点的个数。链表的遍历中每个节点会被访问一次且只会被访问一次。
+     - 空间复杂度：O(n)。空间复杂度取决于递归的栈深度，而栈深度为一条链的情况下会达到 O(n) 的级别。
+     */
+    func reversePrint(_ head: ListNode?) -> [Int] {
+        var res = [Int]()
+        reverse(head, &res)
+        return res
+    }
+    func reverse(_ head: ListNode?, _ res: inout [Int]) {
+        if head == nil {
+            return
+        }
+        reverse(head!.next, &res)
+        res.append(head!.val)
+    }
+    
+    // MARK: 栈
+    
+    /*
+     - 时间复杂度：O(n)，其中 n 为链表节点的个数。链表的遍历中每个节点会被访问二次，入栈一次出栈一次。
+     - 空间复杂度：O(n)。空间复杂度取决于栈深度，而栈深度会达到 O(n) 的级别。
+     */
+    func reversePrint10(_ head: ListNode?) -> [Int] {
+        var res = [Int]()
+        var stack = [ListNode]()
+        var node = head
+        while node != nil {
+            stack.append(node!)
+            node = node!.next
+        }
+        while !stack.isEmpty {
+            res.append(stack.popLast()!.val)
+        }
+        return res
+    }
+    
+    // MARK: 先遍历后翻转
+    
+    /*
+     - 时间复杂度：O(n)，其中 n 为链表节点的个数。链表的遍历中每个节点，翻转为n/2。
+     - 空间复杂度：O(1)。不使用额外的栈空间，翻转是原地操作。
+     */
+    func reversePrint20(_ head: ListNode?) -> [Int] {
+        var res = [Int]()
+        var node = head
+        while node != nil {
+            res.append(node!.val)
+            node = node!.next
+        }
+        reverseArray(&res)
+        return res
+    }
+
+    func reverseArray(_ array: inout [Int]) {
+        var left = 0, right = array.count - 1
+        while left < right {
+            array[left] = array[left] ^ array[right]
+            array[right] = array[left] ^ array[right]
+            array[left] = array[left] ^ array[right]
+            left += 1
+            right -= 1
+        }
+    }
+}
+
+public class ListNode {
+    public var val: Int
+    public var next: ListNode?
+    public init(_ val: Int) {
+        self.val = val
+        self.next = nil
+    }
+}
diff --git a/Week_03/Tree.swift b/Week_03/Tree.swift
new file mode 100644
index 00000000..02991f48
--- /dev/null
+++ b/Week_03/Tree.swift
@@ -0,0 +1,43 @@
+//
+//  Tree.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/17.
+//
+
+import Foundation
+
+// MARK: - 二叉树
+public class TreeNode {
+    public var val: Int
+    public var left: TreeNode?
+    public var right: TreeNode?
+    
+    public init() {
+        self.val = 0;
+        self.left = nil;
+        self.right = nil;
+    }
+    
+    public init(_ val: Int) {
+        self.val = val;
+        self.left = nil;
+        self.right = nil;
+    }
+    
+    public init(_ val: Int, _ left: TreeNode?, _ right: TreeNode?) {
+        self.val = val
+        self.left = left
+        self.right = right
+    }
+}
+
+// MARK: - N叉树
+public class Node {
+    public var val: Int
+    public var children: [Node]
+    public init(_ val: Int) {
+        self.val = val
+        self.children = []
+    }
+}

From 66c198ed05bb5525b3f3d5ba06147bd5d5a12cbf Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 21 Dec 2020 11:03:04 +0800
Subject: [PATCH 18/51] =?UTF-8?q?=E9=80=92=E5=BD=92=E4=BB=A3=E7=A0=81?=
 =?UTF-8?q?=E6=A8=A1=E6=9D=BF=E6=B7=BB=E5=8A=A0=E8=8B=B1=E6=96=87?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_03/README.md | 9 +++++----
 1 file changed, 5 insertions(+), 4 deletions(-)

diff --git a/Week_03/README.md b/Week_03/README.md
index 90d7506c..f632ee9a 100644
--- a/Week_03/README.md
+++ b/Week_03/README.md
@@ -27,10 +27,11 @@ f(n)=n*f(n-1);
 #### 四、如何实现递归？
 
 ##### 递归的代码模板
-1. 递归终止条件
-2. 处理当前层
-3. 下探到下一层
-4. 清理当前层
+1. 递归终止条件 recursion terminator
+2. 处理当前层 process logic in current level
+3. 下探到下一层 drill down
+4. 清理当前层 reverse the current level status needed
+
 
 ##### 递归思维要点
 

From 013ccc8b71d979b4fe1531a8b71db06db7fcf687 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 21 Dec 2020 11:28:01 +0800
Subject: [PATCH 19/51] =?UTF-8?q?=E5=88=86=E6=B2=BB=E6=95=B4=E7=90=86?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_03/README.md | 11 ++++++++++-
 1 file changed, 10 insertions(+), 1 deletion(-)

diff --git a/Week_03/README.md b/Week_03/README.md
index f632ee9a..d246ad7a 100644
--- a/Week_03/README.md
+++ b/Week_03/README.md
@@ -4,6 +4,8 @@
 
 第三周的学习有些不太好，递归逻辑老是梳理不对，搞不懂分治和回溯咋回事，好难！！！
 
+刷题代码好难懂啊！！！
+
 ## 递归
 #### 一、什么是递归？
 1. 递归是一种非常高效、简洁的编码技巧，一种应用非常广泛的算法，比如DFS深度优先搜索、前中后序二叉树遍历等都是使用递归。
@@ -30,7 +32,7 @@ f(n)=n*f(n-1);
 1. 递归终止条件 recursion terminator
 2. 处理当前层 process logic in current level
 3. 下探到下一层 drill down
-4. 清理当前层 reverse the current level status needed
+4. 清理当前层 reverse the current level status if needed
 
 
 ##### 递归思维要点
@@ -50,6 +52,13 @@ f(n)=n*f(n-1);
 
 ## 分治（分而治之）
 
+##### 分治的代码模板
+1. 递归终止条件 recursion terminator
+2. 准备数据拆分问题 prepare data
+3. 递归处理子问题 conquer subproblems
+4. 合并子结果	process and generate the final result
+5. 清理当前层 reverse the current level status
+
 分治是一种处理问题的思想，多适合用递归来实现。
 
 * 分解：将原问题分解成一系列子问题；

From 03f884e2e5ea84557490486b212a183d89c9ab75 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Wed, 23 Dec 2020 11:21:01 +0800
Subject: [PATCH 20/51] =?UTF-8?q?=E4=BD=9C=E4=B8=9A=E8=A1=A5=E5=85=85?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

子集
众数
键盘数字的字母组合
N皇后
---
 Week_03/LetterOfPhoneNumber.swift | 34 +++++++++++++++++
 Week_03/MajorityElement.swift     | 53 ++++++++++++++++++++++++++
 Week_03/NQueens.swift             | 57 ++++++++++++++++++++++++++++
 Week_03/Subset.swift              | 62 +++++++++++++++++++++++++++++++
 4 files changed, 206 insertions(+)
 create mode 100644 Week_03/LetterOfPhoneNumber.swift
 create mode 100644 Week_03/MajorityElement.swift
 create mode 100644 Week_03/NQueens.swift
 create mode 100644 Week_03/Subset.swift

diff --git a/Week_03/LetterOfPhoneNumber.swift b/Week_03/LetterOfPhoneNumber.swift
new file mode 100644
index 00000000..74d867a0
--- /dev/null
+++ b/Week_03/LetterOfPhoneNumber.swift
@@ -0,0 +1,34 @@
+//
+//  LetterOfPhoneNumber.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/22.
+//
+
+import Foundation
+
+class LetterOfPhoneNumber {
+    /* 电话号码的字母组合 */
+    func letterCombinations(_ digits: String) -> [String] {
+        guard digits.count > 0 else {
+            return []
+        }
+        var res = [String]()
+        var temp = ""
+        let dic: [Character: String] = ["2": "abc", "3": "def", "4": "ghi", "5": "jkl", "6": "mno", "7": "pqrs", "8": "tuv", "9": "wxyz"]
+        func backtrack(_ index: Int) {
+            if index == digits.count {
+                res.append(String(temp))
+                return
+            }
+            let str = dic[digits[digits.index(digits.startIndex, offsetBy: index)]]
+            for c in str! {
+                temp.append(String(c))
+                backtrack(index + 1)
+                temp.removeLast()
+            }
+        }
+        backtrack(0)
+        return res
+    }
+}
diff --git a/Week_03/MajorityElement.swift b/Week_03/MajorityElement.swift
new file mode 100644
index 00000000..675faa84
--- /dev/null
+++ b/Week_03/MajorityElement.swift
@@ -0,0 +1,53 @@
+//
+//  MajorityElement.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/22.
+//
+
+import Foundation
+
+class MajorityElement {
+    /*
+     遍历存到字典里面,如果一个数出现的次数大于n/2,这个数就是众数
+     */
+    func majorityElement(_ nums: [Int]) -> Int {
+        var hashMap = [Int: Int]()
+        for (_, value) in nums.enumerated() {
+            hashMap[value] = (hashMap[value] ?? 0) + 1
+            if hashMap[value]! > nums.count / 2 {
+                return value
+            }
+        }
+        return -1
+    }
+    
+    /*
+     排序,后n/2处的数就是众数
+     */
+    func majorityElement10(_ nums: [Int]) -> Int {
+        let a = nums.sorted()
+        let halfIndex = nums.count / 2
+        return a[halfIndex]
+    }
+    
+    /*
+     摩尔投票法:
+     先假设第一个数过半数并设cnt=1；
+     遍历后面的数如果相同则cnt+1，不同则减一，
+     当cnt为0时则更换新的数字为候选数
+     （成立前提：有出现次数大于n/2的数存在）
+     */
+    func majorityElement20(_ nums: [Int]) -> Int {
+        var count = 0, res = 0
+        for (_, value) in nums.enumerated() {
+            if count == 0 {
+                res = value
+                count += 1
+            } else {
+                res == value ? (count += 1) : (count -= 1)
+            }
+        }
+        return res
+    }
+}
diff --git a/Week_03/NQueens.swift b/Week_03/NQueens.swift
new file mode 100644
index 00000000..5f8e43da
--- /dev/null
+++ b/Week_03/NQueens.swift
@@ -0,0 +1,57 @@
+//
+//  NQueens.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/23.
+//
+
+import Foundation
+
+class NQueens {
+    
+    func solveNQueens(_ n: Int) -> [[String]] {
+        var res = [[String]]()
+        var queens = [Int](repeating: -1, count: n)
+        var cols = Set<Int>(), dia1 = Set<Int>(), dia2 = Set<Int>()
+        func backtrack(_ row: Int) {
+            if row == n {
+                res.append(generateQueensToString(queens, n))
+                return
+            }
+            for i in 0..<n {
+                if cols.contains(i) {
+                    continue
+                }
+                let d1 = row - i
+                if dia1.contains(d1) {
+                    continue
+                }
+                let d2 = row + i
+                if dia2.contains(d2) {
+                    continue
+                }
+                queens[row] = i
+                cols.insert(i)
+                dia1.insert(d1)
+                dia2.insert(d2)
+                backtrack(row + 1)
+                queens[row] = -1
+                cols.remove(i)
+                dia1.remove(d1)
+                dia2.remove(d2)
+            }
+        }
+        backtrack(0)
+        return res
+    }
+    
+    func generateQueensToString(_ queens: [Int], _ n: Int) -> [String] {
+        var queensStrings = [String]()
+        for i in 0..<n {
+            var col = [Character](repeating: ".", count: n)
+            col[queens[i]] = "Q"
+            queensStrings.append(String(col))
+        }
+        return queensStrings
+    }
+}
diff --git a/Week_03/Subset.swift b/Week_03/Subset.swift
new file mode 100644
index 00000000..7ff16f9c
--- /dev/null
+++ b/Week_03/Subset.swift
@@ -0,0 +1,62 @@
+//
+//  Subset.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/21.
+//
+
+import Foundation
+
+// MARK: 子集
+class Subset {
+    
+    func subsets(_ nums: [Int]) -> [[Int]] {
+        var res = [[Int]]()
+        var temp = [Int]()
+        func backtrack(_ start: Int) {
+            res.append(Array(temp))
+            for i in start..<nums.count {
+                temp.append(nums[i])
+                backtrack(i + 1)
+                temp.removeLast()
+            }
+        }
+        backtrack(0)
+        return res
+    }
+    
+    
+    func subsets10(_ nums: [Int]) -> [[Int]] {
+        var res = [[Int]]()
+        let n = nums.count
+        let p = 1 << n
+        for i in 0..<p {
+            var temp = [Int]()
+            for j in 0..<n {
+                if (i >> j) & 1 == 1  {
+                    temp.append(nums[j])
+                }
+            }
+            res.append(temp)
+        }
+        return res
+    }
+    
+    func subsets20(_ nums: [Int]) -> [[Int]] {
+        var res = [[Int]]()
+        var temp = [Int]()
+        func backtrack(_ cur: Int) {
+            if cur == nums.count {
+                res.append(Array(temp))
+                return
+            }
+            temp.append(nums[cur])
+            backtrack(cur + 1)
+            temp.removeLast()
+            backtrack(cur + 1)
+        }
+        backtrack(0)
+        return res
+    }
+    
+}

From ac6e06fed56c79a442d072ebda49bb89b338d598 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 27 Dec 2020 22:06:24 +0800
Subject: [PATCH 21/51] =?UTF-8?q?=E7=AC=AC=E5=9B=9B=E5=91=A8=E4=BD=9C?=
 =?UTF-8?q?=E4=B8=9A?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_04/AssignCookies.swift               |  24 +++++
 Week_04/FindMinInRotatedSortedArray.swift |  58 +++++++++++
 Week_04/JumpGame.swift                    |  32 ++++++
 Week_04/JumpGameII.swift                  |  50 ++++++++++
 Week_04/LemonnadeChange.swift             |  34 +++++++
 Week_04/MaxProfit.swift                   |  19 ++++
 Week_04/Minesweeper.swift                 | 114 ++++++++++++++++++++++
 Week_04/NumberOfIsland.swift              |  38 ++++++++
 Week_04/RobotSim.swift                    |  39 ++++++++
 Week_04/Search2DMatrix.swift              |  32 ++++++
 Week_04/SearchInRotatedSortedArray.swift  |  47 +++++++++
 Week_04/WordLadder.swift                  | 110 +++++++++++++++++++++
 Week_04/WordLadderII.swift                | 103 +++++++++++++++++++
 13 files changed, 700 insertions(+)
 create mode 100644 Week_04/AssignCookies.swift
 create mode 100644 Week_04/FindMinInRotatedSortedArray.swift
 create mode 100644 Week_04/JumpGame.swift
 create mode 100644 Week_04/JumpGameII.swift
 create mode 100644 Week_04/LemonnadeChange.swift
 create mode 100644 Week_04/MaxProfit.swift
 create mode 100644 Week_04/Minesweeper.swift
 create mode 100644 Week_04/NumberOfIsland.swift
 create mode 100644 Week_04/RobotSim.swift
 create mode 100644 Week_04/Search2DMatrix.swift
 create mode 100644 Week_04/SearchInRotatedSortedArray.swift
 create mode 100644 Week_04/WordLadder.swift
 create mode 100644 Week_04/WordLadderII.swift

diff --git a/Week_04/AssignCookies.swift b/Week_04/AssignCookies.swift
new file mode 100644
index 00000000..e62610ef
--- /dev/null
+++ b/Week_04/AssignCookies.swift
@@ -0,0 +1,24 @@
+//
+//  AssignCookies.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/24.
+//
+
+import Foundation
+
+class AssignCookies {
+    //455. 分发饼干
+    func findContentChildren(_ g: [Int], _ s: [Int]) -> Int {
+        let gSorted = g.sorted() // 孩子胃口排序
+        let sSorted = s.sorted() // 饼干排序
+        var res = 0, sIndex = 0  // 最终结果和饼干的下标
+        while sIndex < s.count && res < g.count {
+            if sSorted[sIndex] >= gSorted[res]  {
+                res += 1 // 如果饼干满足孩子,结果加一
+            }
+            sIndex += 1 // 无论饼干是否满足,结果都加一
+        }
+        return res
+    }
+}
diff --git a/Week_04/FindMinInRotatedSortedArray.swift b/Week_04/FindMinInRotatedSortedArray.swift
new file mode 100644
index 00000000..d7e32e38
--- /dev/null
+++ b/Week_04/FindMinInRotatedSortedArray.swift
@@ -0,0 +1,58 @@
+//
+//  FindMinInRotatedSortedArray.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class FindMinInRotatedSortedArray {
+    func findMin(_ nums: [Int]) -> Int {
+        let n = nums.count
+        if n == 1 {
+            return nums[0]
+        }
+        var minValue = Int.max
+        var left = 0, right = nums.count - 1
+        while left <= right {
+            let mid = (left + right) / 2
+            if nums[left] <= nums[mid] {
+                //左未旋转
+                minValue = min(nums[left], minValue)
+                left = mid + 1
+            } else {
+                //右未旋转
+                minValue = min(nums[mid], minValue)
+                right = mid - 1
+            }
+        }
+        return minValue
+    }
+    
+    func findMin10(_ nums: [Int]) -> Int {
+        let n = nums.count
+        var left = 0, right = n - 1
+        if nums[right] >= nums[0] {
+            //未旋转
+            return nums[0]
+        }
+        while left <= right {
+            let mid = (left + right) / 2
+            if nums[mid] > nums[mid + 1] {
+                return nums[mid + 1]
+            }
+            if nums[mid - 1] > nums[mid] {
+                return nums[mid]
+            }
+            if nums[left] < nums[mid] {
+                //左未旋转
+                left = mid + 1
+            } else {
+                //右未旋转
+                right = mid - 1
+            }
+        }
+        return -1
+    }
+}
diff --git a/Week_04/JumpGame.swift b/Week_04/JumpGame.swift
new file mode 100644
index 00000000..18e8366b
--- /dev/null
+++ b/Week_04/JumpGame.swift
@@ -0,0 +1,32 @@
+//
+//  JumpGame.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class JumpGame {
+
+    func canJump(_ nums: [Int]) -> Bool {
+        var reach = 0
+        for i in 0..<nums.count {
+            if i > reach {
+                return false
+            }
+            reach = max(reach, i + nums[i])
+        }
+        return true
+    }
+    
+    func canJump10(_ nums: [Int]) -> Bool {
+        var last = 0
+        for (i, v) in nums.enumerated().reversed() {
+            if i + v >= last {
+                last = i
+            }
+        }
+        return last == 0
+    }
+}
diff --git a/Week_04/JumpGameII.swift b/Week_04/JumpGameII.swift
new file mode 100644
index 00000000..5c0f4a21
--- /dev/null
+++ b/Week_04/JumpGameII.swift
@@ -0,0 +1,50 @@
+//
+//  JumpGameII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/27.
+//
+
+import Foundation
+
+class JumpGameII {
+    
+    /* 超时 从后往前贪心 */
+    func jump(_ nums: [Int]) -> Int {
+        if nums.count <= 1 {
+            return 0
+        }
+        var position = nums.count - 1
+        var step = 0
+        while position > 0 {
+            for i in 0..<position {
+                let maxP = i + nums[i]
+                if maxP >= position {
+                    step += 1
+                    position = i
+                    break
+                }
+            }
+        }
+        return step
+    }
+    
+    /* 从前往后贪心 */
+    func jump10(_ nums: [Int]) -> Int {
+        if nums.count <= 1 {
+            return 0
+        }
+        var maxIndex = 0, step = 0, end = 0
+        for i in 0..<nums.count - 1 {
+            maxIndex = max(maxIndex, i + nums[i])
+            if i == end {
+                end = maxIndex
+                step += 1
+            }
+        }
+        return step
+    }
+    
+    //此题可使用动态规划,依次计算每个位置的最小步数
+    
+}
diff --git a/Week_04/LemonnadeChange.swift b/Week_04/LemonnadeChange.swift
new file mode 100644
index 00000000..01ac1cc2
--- /dev/null
+++ b/Week_04/LemonnadeChange.swift
@@ -0,0 +1,34 @@
+//
+//  LemonnadeChange.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/10.
+//
+
+import Foundation
+
+class LemonnadeChange {
+    /// 柠檬水找零(贪心算法)
+    func lemonadeChange(_ bills: [Int]) -> Bool {
+        guard bills.count > 0, bills.first == 5 else {
+            return false
+        }
+        var five = 0, ten = 0
+        for b in bills {
+            if b == 5 {
+                five += 1
+            } else if b == 10 {
+                five -= 1; ten += 1
+            } else if ten > 0 {
+                five -= 1; ten -= 1
+            } else {
+                five -= 3
+            }
+            //每次找零结束后判断5元数量若小于0,找零失败
+            if five < 0 {
+                return false
+            }
+        }
+        return true
+    }
+}
diff --git a/Week_04/MaxProfit.swift b/Week_04/MaxProfit.swift
new file mode 100644
index 00000000..6181ea1c
--- /dev/null
+++ b/Week_04/MaxProfit.swift
@@ -0,0 +1,19 @@
+//
+//  MaxProfit.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/23.
+//
+
+import Foundation
+
+class MaxProfit {
+    //贪心算法: 第二天与前一天的差值大于零,加入答案,既是最大收益
+    func maxProfit(_ prices: [Int]) -> Int {
+        var ans = 0
+        for i in 1..<prices.count {
+            ans += max(0, prices[i] - prices[i - 1])
+        }
+        return ans
+    }
+}
diff --git a/Week_04/Minesweeper.swift b/Week_04/Minesweeper.swift
new file mode 100644
index 00000000..f53220c2
--- /dev/null
+++ b/Week_04/Minesweeper.swift
@@ -0,0 +1,114 @@
+//
+//  Minesweeper.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class Minesweeper {
+    
+    /*
+     'M' 代表一个未挖出的地雷，
+     'E' 代表一个未挖出的空方块，
+     'B' 代表没有相邻（上，下，左，右，和所有4个对角线）地雷的已挖出的空白方块，
+     'X' 则表示一个已挖出的地雷。
+     数字（'1' 到 '8'）表示有多少地雷与这块已挖出的方块相邻，
+     */
+    
+    let dx = [0, 1, 1, 1, 0, -1, -1, -1]
+    let dy = [1, 1, 0, -1, -1, -1, 0, 1]
+    
+    // 深度优先
+    func updateBoard(_ board: [[Character]], _ click: [Int]) -> [[Character]] {
+        let x = click[0], y = click[1]
+        var res = board
+        if res[x][y] == "M" {
+            //点到地雷
+            res[x][y] = "X"
+        } else {
+            dfs(&res, x, y)
+        }
+        return res
+    }
+    
+    func dfs(_ board: inout [[Character]], _ x: Int, _ y: Int) {
+        var count = 0
+        for i in 0..<8 {
+            //查看周边有多少个地雷
+            let tx = x + dx[i], ty = y + dy[i]
+            if tx < 0 || tx >= board.count || ty < 0 || ty >= board.first!.count {
+                continue
+            }
+            count += (board[tx][ty] == "M" ? 1 : 0)
+        }
+        if count > 0 {
+            //有地雷 将地雷数量标记
+            board[x][y] = Character("\(count)")
+        } else {
+            //无地雷 递归处理
+            board[x][y] = "B"
+            for i in 0..<8 {
+                let tx = x + dx[i], ty = y + dy[i]
+                if tx < 0 || tx >= board.count || ty < 0 || ty >= board.first!.count || board[tx][ty] != "E" {
+                    continue
+                }
+                dfs(&board, tx, ty)
+            }
+        }
+    }
+    
+    
+    // 广度优先
+    func updateBoard10(_ board: [[Character]], _ click: [Int]) -> [[Character]] {
+        let x = click[0], y = click[1]
+        var res = board
+        if res[x][y] == "M" {
+            res[x][y] = "X"
+        } else {
+            bfs(&res, x, y)
+        }
+        return res
+    }
+    
+    func bfs(_ board: inout [[Character]], _ x: Int, _ y: Int) {
+        var queue = [[x, y]]
+        let row = board.count, col = board.first!.count
+        var visited = [[Bool]](repeating: [Bool](repeating: false, count: col), count: row)
+        while !queue.isEmpty {
+            let pos = queue.removeFirst()
+            let x = pos[0], y = pos[1]
+            var count = 0
+            for i in 0..<8 {
+                let tx = x + dx[i], ty = y + dy[i]
+                if tx < 0 || tx >= row || ty < 0 || ty >= col {
+                    continue
+                }
+                count += (board[tx][ty] == "M" ? 1 : 0)
+            }
+            if count > 0 {
+                board[x][y] = Character("\(count)")
+                continue
+            }
+            board[x][y] = "B"
+            for i in 0..<8 {
+                let tx = x + dx[i], ty = y + dy[i]
+                if tx < 0 || tx >= row || ty < 0 || ty >= col || board[tx][ty] != "E" || visited[tx][ty] {
+                    continue
+                }
+                queue.append([tx, ty])
+                visited[tx][ty] = true
+            }
+        }
+    }
+    
+    func test() {
+        let board: [[Character]] = [["E","M","E","E","E"],["E","E","E","M","E"],["M","E","E","E","E"],["E","E","M","E","E"]]
+        let click = [3, 4]
+        let res = updateBoard(board, click)
+        for i in res {
+            print(i)
+        }
+    }
+}
diff --git a/Week_04/NumberOfIsland.swift b/Week_04/NumberOfIsland.swift
new file mode 100644
index 00000000..0dfe52dd
--- /dev/null
+++ b/Week_04/NumberOfIsland.swift
@@ -0,0 +1,38 @@
+//
+//  NumberOfIsland.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/25.
+//
+
+import Foundation
+
+class NumberOfIsland {
+    func numIslands(_ grid: [[Character]]) -> Int {
+        guard grid.count > 0, grid.first != nil, grid.first!.count > 0 else {
+            return 0
+        }
+        func dfs(_ row: Int, _ col: Int) {
+            guard row >= 0, row < rowCount, col >= 0, col < colCount, temp[row][col] == "1" else {
+                return
+            }
+            temp[row][col] = "0"
+            dfs(row + 1, col)
+            dfs(row - 1, col)
+            dfs(row, col + 1)
+            dfs(row, col - 1)
+        }
+        var res = 0, temp = grid
+        let rowCount = grid.count, colCount = grid.first!.count
+        for row in 0..<rowCount {
+            for col in 0..<colCount {
+                if temp[row][col] == "1" {
+                    res += 1
+                }
+                dfs(row, col)
+            }
+        }
+        return res
+    }
+    
+}
diff --git a/Week_04/RobotSim.swift b/Week_04/RobotSim.swift
new file mode 100644
index 00000000..8b60cf6d
--- /dev/null
+++ b/Week_04/RobotSim.swift
@@ -0,0 +1,39 @@
+//
+//  RobotSim.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class RobotSim {
+    struct Location: Hashable {
+        var x: Int
+        var y: Int
+    }
+    func robotSim(_ commands: [Int], _ obstacles: [[Int]]) -> Int {
+        var res = 0, x = 0, y = 0, d = 0 // 0北, 1东, 2南, 3西
+        let dx = [0, 1, 0, -1], dy = [1, 0, -1, 0]
+        var obstacleSet = Set<Location>()
+        for ob in obstacles {
+            obstacleSet.insert(Location(x: ob[0], y: ob[1]))
+        }
+        for c in commands {
+            if c == -2 {
+                d = d == 0 ? 3 : d - 1
+            } else if c == -1 {
+                d = d == 3 ? 0 : d + 1
+            } else {
+                var step = c
+                while step > 0 && !obstacleSet.contains(Location(x:x + dx[d], y: y + dy[d])) {
+                    x += dx[d]
+                    y += dy[d]
+                    step -= 1
+                }
+                res = max(x * x + y * y, res)
+            }
+        }
+        return res
+    }
+}
diff --git a/Week_04/Search2DMatrix.swift b/Week_04/Search2DMatrix.swift
new file mode 100644
index 00000000..eb245dbc
--- /dev/null
+++ b/Week_04/Search2DMatrix.swift
@@ -0,0 +1,32 @@
+//
+//  Search2DMatrix.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class Search2DMatrix {
+    func searchMatrix(_ matrix: [[Int]], _ target: Int) -> Bool {
+        let m = matrix.count
+        guard m > 0 else {
+            return false
+        }
+        let n = matrix[0].count
+        var l = 0, r = m * n - 1
+        while l <= r {
+            let mid = (l + r) / 2
+            let midValue = matrix[mid / n][mid % n]
+            if midValue == target {
+                return true
+            }
+            if midValue > target {
+                r = mid - 1
+            } else {
+                l = mid + 1
+            }
+        }
+        return false
+    }
+}
diff --git a/Week_04/SearchInRotatedSortedArray.swift b/Week_04/SearchInRotatedSortedArray.swift
new file mode 100644
index 00000000..cdad3733
--- /dev/null
+++ b/Week_04/SearchInRotatedSortedArray.swift
@@ -0,0 +1,47 @@
+//
+//  SearchInRotatedSortedArray.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class SearchInRotatedSortedArray {
+    func search(_ nums: [Int], _ target: Int) -> Int {
+        let n = nums.count
+        guard n > 0 else {
+            return -1
+        }
+        if n == 1 {
+            return target == nums[0] ? 0 : -1
+        }
+        var l = 0, r = n - 1
+        while l <= r {
+            let mid = (l + r) / 2
+            if nums[mid] == target {
+                return mid
+            }
+            if nums[l] <= nums[mid] {
+                //左边有序
+                if nums[l] <= target && nums[mid] > target {
+                    //在左边
+                    r = mid - 1
+                } else {
+                    //在右边
+                    l = mid + 1
+                }
+            } else {
+                //右边有序
+                if nums[r] >= target && nums[mid] < target {
+                    //在右边
+                    l = mid + 1
+                } else {
+                    //在左边
+                    r = mid - 1
+                }
+            }
+        }
+        return -1
+    }
+}
diff --git a/Week_04/WordLadder.swift b/Week_04/WordLadder.swift
new file mode 100644
index 00000000..e5aa3242
--- /dev/null
+++ b/Week_04/WordLadder.swift
@@ -0,0 +1,110 @@
+//
+//  WordLadder.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class WordLadder {
+    
+    //单向bfs
+    func ladderLength(_ beginWord: String, _ endWord: String, _ wordList: [String]) -> Int {
+        var wordSet = Set<String>(wordList)
+        guard wordSet.contains(endWord) else {
+            return 0
+        }
+        wordSet.remove(beginWord)
+        var queue = [beginWord]
+        var visited: Set<String> = [beginWord]
+        
+        var res = 1
+        while !queue.isEmpty {
+            let size = queue.count
+            for _ in 0..<size {
+                let word = queue.removeFirst()
+                if changeWordEveryOneLetter(word, endWord, &queue, wordSet, &visited) {
+                    return res + 1
+                }
+            }
+            res += 1
+        }
+        return 0
+    }
+    
+    func changeWordEveryOneLetter(_ curWord: String, _ endWord: String, _ queue: inout [String], _ wordSet: Set<String>, _ visited: inout Set<String>) -> Bool {
+        var tempArr = Array(curWord)
+        for i in 0..<tempArr.count {
+            let originC = tempArr[i]
+            for j in "abcdefghijklmnopqrstuvwxyz" {
+                tempArr[i] = j
+                let tempStr = String(tempArr)
+                if tempStr == endWord {
+                    return true
+                }
+                if visited.contains(tempStr) || !wordSet.contains(tempStr) {
+                    continue
+                }
+                queue.append(tempStr)
+                visited.insert(tempStr)
+            }
+            tempArr[i] = originC
+        }
+        return false
+    }
+    
+    //双向bfs
+    func ladderLength10(_ beginWord: String, _ endWord: String, _ wordList: [String]) -> Int {
+        let wordSet = Set<String>(wordList)
+        guard wordSet.contains(endWord) else {
+            return 0
+        }
+        var beginVisited: Set<String> = [beginWord]
+        var endVisited: Set<String> = [endWord]
+        var visited = Set<String>()
+        
+        var res = 1
+        while !beginVisited.isEmpty && !endVisited.isEmpty {
+            if beginVisited.count > endVisited.count {
+                swap(&beginVisited, &endVisited)
+            }
+            var nextLevelVisited = Set<String>()
+            for word in beginVisited {
+                if changeWordEveryOneLetter10(word, endVisited, &visited, wordSet, &nextLevelVisited) {
+                    return res + 1
+                }
+            }
+            beginVisited = nextLevelVisited
+            res += 1
+        }
+        return 0
+    }
+    
+    func changeWordEveryOneLetter10(_ word: String, _ endVisited: Set<String>, _ visited: inout Set<String>, _ wordSet: Set<String>, _ nextLevelVisited: inout Set<String>) -> Bool {
+        var wordArr = Array(word)
+        for i in 0..<word.count {
+            let originC = wordArr[i]
+            for c in "abcdefghijklmnopqrstuvwxyz" {
+                if originC == c {
+                    continue
+                }
+                wordArr[i] = c
+                let nextWord = String(wordArr)
+                if endVisited.contains(nextWord) {
+                    return true
+                }
+                if !wordSet.contains(nextWord) || visited.contains(nextWord) {
+                    continue
+                }
+                nextLevelVisited.insert(nextWord)
+                visited.insert(nextWord)
+            }
+            wordArr[i] = originC
+        }
+        return false
+    }
+    
+    
+}
+
diff --git a/Week_04/WordLadderII.swift b/Week_04/WordLadderII.swift
new file mode 100644
index 00000000..de72e631
--- /dev/null
+++ b/Week_04/WordLadderII.swift
@@ -0,0 +1,103 @@
+//
+//  WordLadderII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/27.
+//
+
+import Foundation
+
+class WordLadderII {
+    
+    var wordId = [String: Int]()
+    var idWord = [String]()
+    var edges = [[Int]]()
+    func findLadders(_ beginWord: String, _ endWord: String, _ wordList: [String]) -> [[String]] {
+        //将所有单词加入到wordId表中
+        var id = 0
+        for word in wordList {
+            if wordId[word] == nil {
+                wordId[word] = id
+                idWord.append(word)
+                id += 1
+            }
+        }
+        //如果结束词不在单词列表 则无解
+        if wordId[endWord] == nil {
+            return []
+        }
+        //开始单词也加入到表格
+        if wordId[beginWord] == nil {
+            wordId[beginWord] = id
+            idWord.append(beginWord)
+            id += 1
+        }
+        //初始化边数组
+        edges = [[Int]](repeating: [], count: idWord.count)
+        for i in 0..<idWord.count {
+            for j in i + 1..<idWord.count {
+                //如果两者可以通过转换得到,则建立一条无向边
+                if transformCheck(idWord[i], idWord[j]) {
+                    edges[i].append(j)
+                    edges[j].append(i)
+                }
+            }
+        }
+        
+        let destination = wordId[endWord] //目的地
+        var res = [[String]]() //答案
+        var cost = [Int](repeating: Int.max, count: id) //到每个点的代价
+        
+        //将起点加入队列 并将其cost设置为0
+        var queue = [[Int]]() //队列
+        var tempBegin = [Int]()
+        tempBegin.append(wordId[beginWord]!)
+        queue.append(tempBegin)
+        cost[wordId[beginWord]!] = 0
+        
+        //开始广度优先搜索
+        while !queue.isEmpty {
+            let now = queue.removeFirst()
+            let last = now.last
+            if last == destination { //如果为终点 直接存到res
+                var temp = [String]()
+                for i in now {
+                    temp.append(idWord[i])
+                }
+                res.append(temp)
+            } else { //不是终点 继续搜索
+                for e in edges[last!] {
+                    //把代价相同的路径都保留下来
+                    if cost[last!] + 1 <= cost[e] {
+                        cost[e] = cost[last!] + 1
+                        //e和now中的数据加入队列
+                        var temp = Array(now)
+                        temp.append(e)
+                        queue.append(temp)
+                    }
+                }
+            }
+        }
+        return res
+    }
+    
+    func transformCheck(_ word1: String, _ word2: String) -> Bool {
+        var diff = 0
+        for i in 0..<word1.count {
+            if word2[word2.index(word2.startIndex, offsetBy: i)] != word1[word1.index(word1.startIndex, offsetBy: i)] {
+                diff += 1
+            }
+            if diff >= 2 {
+                break
+            }
+        }
+        return diff == 1
+    }
+    
+    func test() {
+        let b = "hit"
+        let e = "cog"
+        let wordList = ["hot","dot","dog","lot","log","cog"]
+        print(findLadders(b, e, wordList))
+    }
+}

From cd3e4773c6a27f822db0cbcaab255ecd7ec44599 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 27 Dec 2020 22:53:29 +0800
Subject: [PATCH 22/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E7=AC=94=E8=AE=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_04/README.md | 135 +++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 134 insertions(+), 1 deletion(-)

diff --git a/Week_04/README.md b/Week_04/README.md
index 50de3041..a28f9b2f 100644
--- a/Week_04/README.md
+++ b/Week_04/README.md
@@ -1 +1,134 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+
+这周的题目好难啊，尤其是单词接龙，看题解都有些搞不懂，对广度优先搜索和深度优先搜索还是要多联系，有些懵懵懂懂。
+
+## 广度优先搜索和深度优先搜索
+
+这两种搜索算法都是基于图的，大部分搜索场景都可以抽象成图。
+
+### 广度优先搜索BFS
+
+- 地毯式的层层推进搜索策略，从最近的开发一层层的往外扩散。
+- 适合用来求最短路径。
+
+##### 二叉树的搜索代码模板如下
+
+``` java
+// Java
+public class TreeNode {
+    int val;
+    TreeNode left;
+    TreeNode right;
+
+    TreeNode(int x) {
+        val = x;
+    }
+}
+
+public List<List<Integer>> levelOrder(TreeNode root) {
+    List<List<Integer>> allResults = new ArrayList<>();
+    if (root == null) {
+        return allResults;
+    }
+    Queue<TreeNode> nodes = new LinkedList<>();
+    nodes.add(root);
+    while (!nodes.isEmpty()) {
+        int size = nodes.size();
+        List<Integer> results = new ArrayList<>();
+        for (int i = 0; i < size; i++) {
+            TreeNode node = nodes.poll();
+            results.add(node.val);
+            if (node.left != null) {
+                nodes.add(node.left);
+            }
+            if (node.right != null) {
+                nodes.add(node.right);
+            }
+        }
+        allResults.add(results);
+    }
+    return allResults;
+}
+
+```
+
+- 时间复杂度：O(E)，E表示边的个数
+- 空间复杂度：O(E)，E表示边的个数
+
+## 深度优先搜索DFS
+
+是回溯思想的体现。
+
+``` java
+//Java
+public List<List<Integer>> levelOrder(TreeNode root) {
+    List<List<Integer>> allResults = new ArrayList<>();
+    if(root==null){
+        return allResults;
+    }
+    travel(root,0,allResults);
+    return allResults;
+}
+
+
+private void travel(TreeNode root,int level,List<List<Integer>> results){
+    if(results.size()==level){
+        results.add(new ArrayList<>());
+    }
+    results.get(level).add(root.val);
+    if(root.left!=null){
+        travel(root.left,level+1,results);
+    }
+    if(root.right!=null){
+        travel(root.right,level+1,results);
+    }
+}
+
+```
+
+- 时间复杂度：O(E)，E表示边的个数
+- 空间复杂度：O(V)，V表示顶点的个数
+
+## 贪心算法
+
+总是做出在当前看来是最好的选择。也就是说，不从整体最优上加以考虑，算法得到的是在某种意义上的局部最优解
+
+## 二分查找
+
+条件：
+
+- 数组存储
+- 有序数据
+- 数据量太小不适合（没必要）
+- 数据量太大也不适合（依赖于数组数据结构）
+- 时间复杂度：O(logn)
+
+代码模板如下：
+
+``` java
+// Java
+public int binarySearch(int[] array, int target) {
+    int left = 0, right = array.length - 1, mid;
+    while (left <= right) {
+    	//直接使用 (right+left) / 2 有溢出风险
+        mid = (right - left) / 2 + left;
+
+        if (array[mid] == target) {
+            return mid;
+        } else if (array[mid] > target) {
+            right = mid - 1;
+        } else {
+            left = mid + 1;
+        }
+    }
+
+    return -1;
+}
+```
+
+#### 扩展
+
+在搜索旋转排序数组题目中，部分数据旋转，可以用mid值和left或者right值进行比较判断哪一边是有序的。
+

From 346bdb7194550233ec3f11f3964bc3939d635563 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 10 Jan 2021 22:16:20 +0800
Subject: [PATCH 23/51] =?UTF-8?q?Week06=E4=BB=A3=E7=A0=81=E6=8F=90?=
 =?UTF-8?q?=E4=BA=A4?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_06/CoinChange.swift               |  28 +++++
 Week_06/CoinChangeII.swift             |  54 +++++++++
 Week_06/DecodeWays.swift               |  32 ++++++
 Week_06/EditDistance.swift             |  40 +++++++
 Week_06/Fibonacci.swift                | 150 +++++++++++++++++++++++++
 Week_06/FourSum.swift                  |  69 ++++++++++++
 Week_06/HouseRobber.swift              |  55 +++++++++
 Week_06/HouseRobberII.swift            |  32 ++++++
 Week_06/JumpGame.swift                 |  63 +++++++++++
 Week_06/JumpGameII.swift               |  63 +++++++++++
 Week_06/LongestCommonSubsequence.swift |  33 ++++++
 Week_06/MaxSquare.swift                |  34 ++++++
 Week_06/MaxSubarray.swift              |  24 ++++
 Week_06/MinPathSum.swift               |  52 +++++++++
 Week_06/PerfectSquare.swift            |  33 ++++++
 Week_06/StockIII.swift                 |  23 ++++
 Week_06/Triangle.swift                 |  55 +++++++++
 Week_06/UniquePaths.swift              |  53 +++++++++
 Week_06/UniquePathsII.swift            |  58 ++++++++++
 19 files changed, 951 insertions(+)
 create mode 100644 Week_06/CoinChange.swift
 create mode 100644 Week_06/CoinChangeII.swift
 create mode 100644 Week_06/DecodeWays.swift
 create mode 100644 Week_06/EditDistance.swift
 create mode 100644 Week_06/Fibonacci.swift
 create mode 100644 Week_06/FourSum.swift
 create mode 100644 Week_06/HouseRobber.swift
 create mode 100644 Week_06/HouseRobberII.swift
 create mode 100644 Week_06/JumpGame.swift
 create mode 100644 Week_06/JumpGameII.swift
 create mode 100644 Week_06/LongestCommonSubsequence.swift
 create mode 100644 Week_06/MaxSquare.swift
 create mode 100644 Week_06/MaxSubarray.swift
 create mode 100644 Week_06/MinPathSum.swift
 create mode 100644 Week_06/PerfectSquare.swift
 create mode 100644 Week_06/StockIII.swift
 create mode 100644 Week_06/Triangle.swift
 create mode 100644 Week_06/UniquePaths.swift
 create mode 100644 Week_06/UniquePathsII.swift

diff --git a/Week_06/CoinChange.swift b/Week_06/CoinChange.swift
new file mode 100644
index 00000000..3b734f5a
--- /dev/null
+++ b/Week_06/CoinChange.swift
@@ -0,0 +1,28 @@
+//
+//  CoinChange.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/5.
+//
+
+import Foundation
+
+class CoinChange {
+    //零钱兑换
+    func coinChange(_ coins: [Int], _ amount: Int) -> Int {
+        guard amount > 0 else {
+            return 0
+        }
+        var dp = [Int](repeating:amount + 1, count: amount + 1)
+        dp[0] = 0
+        for i in 1...amount {
+            for coin in coins {
+                if coin <= i {
+                    dp[i] = min(dp[i], dp[i - coin] + 1)
+                }
+            }
+        }
+        return dp[amount] > amount ? -1 : dp[amount]
+    }
+    
+}
diff --git a/Week_06/CoinChangeII.swift b/Week_06/CoinChangeII.swift
new file mode 100644
index 00000000..4928f626
--- /dev/null
+++ b/Week_06/CoinChangeII.swift
@@ -0,0 +1,54 @@
+//
+//  CoinChangeII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/7.
+//
+
+import Foundation
+
+class CoinChangeII {
+    
+    //组合数
+    func change(_ amount: Int, _ coins: [Int]) -> Int {
+        if amount == 0 {
+            return 1
+        }
+        if coins.count == 0 {
+            return 0
+        }
+        var dp = [Int](repeating: 0, count: amount + 1)
+        dp[0] = 1
+        for coin in coins {
+            if coin > amount {
+                continue
+            }
+            for i in coin..<amount + 1 {
+                dp[i] += dp[i - coin]
+            }
+        }
+        return dp[amount]
+    }
+    
+    //排列数
+    func change10(_ amount: Int, _ coins: [Int]) -> Int {
+        if amount == 0 {
+            return 1
+        }
+        if coins.count == 0 {
+            return 0
+        }
+        var dp = [Int](repeating: 0, count: amount + 1)
+        dp[0] = 1
+        
+        for i in 0..<amount + 1 {
+            for coin in coins {
+                if coin <= i {
+                    dp[i] = dp[i] + dp[i - coin]
+                }
+            }
+        }
+        return dp[amount]
+    }
+    
+}
diff --git a/Week_06/DecodeWays.swift b/Week_06/DecodeWays.swift
new file mode 100644
index 00000000..c042ddd8
--- /dev/null
+++ b/Week_06/DecodeWays.swift
@@ -0,0 +1,32 @@
+//
+//  DecodeWays.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/10.
+//
+
+import Foundation
+
+class DecodeWays {
+//    func numDecodings(_ s: String) -> Int {
+//        if s.count <= 0 {
+//            return 0
+//        }
+//        let s = Array(s)
+//        if s[0] == "0" {
+//            return 0
+//        }
+//        let n = s.count
+//        var dp = [Int](repeating: 1, count: n + 1)
+//        dp[0] = 1
+//        dp[1] = s[0] == "0" ? 0 : 1
+//        for i in 1..<n + 1 {
+//
+//            if Int(s[i]) < 7 && (s[i - 1] == "1" || s[i - 1] == "2") {
+//                return 0
+//            }
+//
+//        }
+//        return dp[n]
+//    }
+}
diff --git a/Week_06/EditDistance.swift b/Week_06/EditDistance.swift
new file mode 100644
index 00000000..fc905c9b
--- /dev/null
+++ b/Week_06/EditDistance.swift
@@ -0,0 +1,40 @@
+//
+//  EditDistance.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/8.
+//
+
+import Foundation
+
+class EditDistance {
+    //编辑距离
+    func minDistance(_ word1: String, _ word2: String) -> Int {
+        let m = word1.count, n = word2.count
+        if m * n == 0 {
+            return m + n
+        }
+        let word1 = Array(word1), word2 = Array(word2)
+        var dp = [[Int]](repeating: [Int](repeating: 0, count: n + 1), count: m + 1)
+        for i in 0..<m + 1 {
+            for j in 0..<n + 1 {
+                if i == 0 {
+                    dp[i][j] = j
+                } else if j == 0 {
+                    dp[i][j] = i
+                } else {
+                    let left = dp[i - 1][j] + 1
+                    let down = dp[i][j - 1] + 1
+                    let leftDown = dp[i - 1][j - 1] + (word1[i - 1] == word2[j - 1] ? 0 : 1)
+                    dp[i][j] = min(left, down, leftDown)
+                }
+            }
+        }
+        return dp[m][n]
+    }
+    
+    func test() {
+        let word1 = "horse", word2 = "ros"
+        print(minDistance(word1, word2))
+    }
+}
diff --git a/Week_06/Fibonacci.swift b/Week_06/Fibonacci.swift
new file mode 100644
index 00000000..b0ce8ab8
--- /dev/null
+++ b/Week_06/Fibonacci.swift
@@ -0,0 +1,150 @@
+//
+//  Fibonacci.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/3.
+//
+
+import Foundation
+
+class Fibonacci {
+    
+    /*
+     总结:
+     1.动态规划(最优解) 时间复杂度O(n) 空间复杂度O(1)
+     2.递归(带缓存) F(n) = F(n - 1) + F(n - 2),可以添加缓存优化 时间复杂度O(n) 空间复杂度O(n)
+     3.矩阵快速幂 时间复杂度O(logn) 空间复杂度O(1)
+     4.通项公式 F(n) = 1 / sqrt(5) * [pow((1 + sqrt(5)) / 2, n) + pow((1 - sqrt(5)) / 2, n)] 时间复杂度O(1) 空间复杂度O(1)
+     */
+    
+    
+    /*
+     斐波那契数列
+     
+     写一个函数，输入 n ，求斐波那契（Fibonacci）数列的第 n 项。斐波那契数列的定义如下：
+
+     F(0) = 0,   F(1) = 1
+     F(N) = F(N - 1) + F(N - 2), 其中 N > 1.
+
+     斐波那契数列由 0 和 1 开始，之后的斐波那契数就是由之前的两数相加而得出。
+
+     答案需要取模 1e9+7（1000000007），如计算初始结果为：1000000008，请返回 1。
+     */
+    
+    //动态规划
+    func fib(_ n: Int) -> Int {
+        var a = 0, b = 1, sum = 0
+        for _ in 0..<n {
+            sum = (a + b) % 1000000007
+            a = b
+            b = sum
+        }
+        return a
+    }
+    
+    func fib01(_ n: Int) -> Int {
+        if n < 2 {
+            return n
+        }
+        var p = 0, q = 1, r = p + q
+        for _ in 2..<n {
+            p = q
+            q = r
+            r = (p + q) % 1000000007
+        }
+        return r
+    }
+    
+    
+    
+    /*
+     斐波那契数
+     
+     通常用 F(n) 表示，形成的序列称为 斐波那契数列 。该数列由 0 和 1 开始，后面的每一项数字都是前面两项数字的和。也就是：
+
+     F(0) = 0，F(1) = 1
+     F(n) = F(n - 1) + F(n - 2)，其中 n > 1
+
+     给你 n ，请计算 F(n) 。
+     
+     提示：0 <= n <= 30
+     */
+    
+    //动态规划
+    func fib200(_ n: Int) -> Int {
+        var a = 0, b = 1, sum = 0
+        for _ in 0..<n {
+            sum = a + b
+            a = b
+            b = sum
+        }
+        return a
+    }
+    
+    func fib201(_ n: Int) -> Int {
+        if n < 2 {
+            return n
+        }
+        var p = 0, q = 1, r = p + q
+        for _ in 2..<n {
+            p = q
+            q = r
+            r = p + q
+        }
+        return r
+    }
+    
+    //矩阵快速幂
+    func fib210(_ n: Int) -> Int {
+        let q = [[1, 1], [1, 0]]
+        let r = myPow(q, n)
+        return r[0][0]
+    }
+    
+    func myPow(_ a: [[Int]], _ n: Int) -> [[Int]] {
+        var ret = [[1, 0], [0, 1]]
+        while n > 0 {
+            if n & 1 == 1 {
+                ret = myMultiply(ret, a)
+            }
+        }
+        return ret
+    }
+    
+    func myMultiply(_ a: [[Int]], _ b: [[Int]]) -> [[Int]] {
+        var c = [[Int]](repeating: [Int](repeating: 0, count: 2), count: 2);
+        for i in 0..<2 {
+            for j in 0..<2 {
+                c[i][j] = a[i][0] * b[0][j] + a[i][1] * b[1][j];
+            }
+        }
+        return c;
+    }
+    
+    //通项公式
+    func dib220(_ n: Int) -> Int {
+        let sqrt5 = sqrt(5.0)
+        let temp = pow((1.0 + sqrt5) / 2.0, Double(n)) - pow((1.0 - sqrt5) / 2.0, Double(n))
+        let res = temp / sqrt5
+        return Int(res)
+    }
+    
+    //有限个枚举处理
+    func dib230(_ n: Int) -> Int {
+        let fibs = [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040]
+        return fibs[n]
+    }
+    
+    //递归(带缓存)
+    var resCache = [Int: Int]()
+    func fib240(_ n: Int) -> Int {
+        if n < 2 {
+            return n
+        }
+        if resCache[n] != nil {
+            return resCache[n]!
+        }
+        return fib240(n - 1) + fib240(n - 2)
+    }
+    
+}
diff --git a/Week_06/FourSum.swift b/Week_06/FourSum.swift
new file mode 100644
index 00000000..382f442d
--- /dev/null
+++ b/Week_06/FourSum.swift
@@ -0,0 +1,69 @@
+//
+//  FourSum.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/1.
+//
+
+import Foundation
+
+class FourSum {
+    /*四数之和*/
+    func fourSum(_ nums: [Int], _ target: Int) -> [[Int]] {
+        guard nums.count >= 4 else {
+            return []
+        }
+        var res = [[Int]]()
+        let nums = nums.sorted()
+        let n = nums.count
+        for i in 0..<n - 3 {
+            if i > 0 && nums[i] == nums[i - 1] {
+                continue
+            }
+            if nums[i] + nums[i + 1] + nums[i + 2] + nums[i + 3] > target{
+                break
+            }
+            if nums[i] + nums[n - 1] + nums[n - 2] + nums[n - 3] < target {
+                continue
+            }
+            for j in i + 1..<n - 2 {
+                if j > i + 1 && nums[j] == nums[j - 1] {
+                    continue
+                }
+                if nums[i] + nums[i + 1] + nums[i + 2] + nums[j] > target{
+                    break
+                }
+                if nums[i] + nums[n - 1] + nums[n - 2] + nums[j] < target {
+                    continue
+                }
+                var left = j + 1, right = n - 1
+                while left < right {
+                    let sum = nums[i] + nums[j] + nums[left] + nums[right]
+                    if sum == target {
+                        res.append([nums[i], nums[j], nums[left], nums[right]])
+                        leftAddOne(&left, right, nums)
+                        rightSubOne(left, &right, nums)
+                    } else if sum < target {
+                        leftAddOne(&left, right, nums)
+                    } else {
+                        rightSubOne(left, &right, nums)
+                    }
+                }
+            }
+        }
+        return res
+    }
+
+    func leftAddOne(_ left: inout Int, _ right: Int, _ nums: [Int]) {
+        while left < right && nums[left] == nums[left + 1] {
+            left += 1
+        }
+        left += 1
+    }
+    func rightSubOne(_ left: Int, _ right: inout Int, _ nums: [Int]) {
+        while left < right && nums[right] == nums[right - 1] {
+            right -= 1
+        }
+        right -= 1
+    }
+}
diff --git a/Week_06/HouseRobber.swift b/Week_06/HouseRobber.swift
new file mode 100644
index 00000000..dda22f22
--- /dev/null
+++ b/Week_06/HouseRobber.swift
@@ -0,0 +1,55 @@
+//
+//  HouseRobber.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/6.
+//
+
+import Foundation
+
+class HouseRobber {
+    func rob(_ nums: [Int]) -> Int {
+        let n = nums.count
+        if n == 0 {
+            return 0
+        }
+        if n == 1 {
+            return nums[0]
+        }
+        var dp = [Int](repeating: 0, count: n)
+        dp[0] = nums[0]
+        dp[1] = max(nums[0], nums[1])
+        for i in 2..<n {
+            dp[i] = max(dp[i - 2] + nums[i], dp[i - 1])
+        }
+        return dp[n - 1]
+    }
+    
+    func rob10(_ nums: [Int]) -> Int {
+        let n = nums.count
+        if n == 0 {
+            return 0
+        }
+        if n == 1 {
+            return nums[0]
+        }
+        var pre = nums[0], cur = max(nums[0], nums[1])
+        for i in 2..<n {
+            let temp = cur
+            cur = max(pre + nums[i], pre)
+            pre = temp
+        }
+        return cur
+    }
+    
+    func rob20(_ nums: [Int]) -> Int {
+        var pre = 0, cur = 0, temp: Int
+        for i in 0..<nums.count {
+            temp = cur
+            cur = max(pre + nums[i], cur)
+            pre = temp
+        }
+        return cur
+    }
+    
+}
diff --git a/Week_06/HouseRobberII.swift b/Week_06/HouseRobberII.swift
new file mode 100644
index 00000000..5e7b1642
--- /dev/null
+++ b/Week_06/HouseRobberII.swift
@@ -0,0 +1,32 @@
+//
+//  HouseRobberII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/6.
+//
+
+import Foundation
+
+class HouseRobberII {
+    
+    func rob(_ nums: [Int]) -> Int {
+        let n = nums.count
+        if n == 0 {
+            return 0
+        }
+        if n == 1 {
+            return nums[0]
+        }
+        let nums1 = Array(nums[1..<n]), nums2 = Array(nums[0..<n - 1])
+        return max(robI(nums1), robI(nums2))
+    }
+    func robI(_ nums: [Int]) -> Int {
+        var pre = 0, cur = 0, temp = 0
+        for i in 0..<nums.count {
+            temp = cur
+            cur = max(pre + nums[i], cur)
+            pre = temp
+        }
+        return cur
+    }
+}
diff --git a/Week_06/JumpGame.swift b/Week_06/JumpGame.swift
new file mode 100644
index 00000000..a0d90843
--- /dev/null
+++ b/Week_06/JumpGame.swift
@@ -0,0 +1,63 @@
+//
+//  JumpGame.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class JumpGame {
+    // MARK: - 跳跃游戏
+    
+    //贪心, 从前往后,维护最远距离
+    func canJump(_ nums: [Int]) -> Bool {
+        var reach = 0
+        for i in 0..<nums.count {
+            if i > reach {
+                return false
+            }
+            reach = max(reach, i + nums[i])
+        }
+        return true
+    }
+    
+    //贪心, 从后往前,维护终点
+    func canJump10(_ nums: [Int]) -> Bool {
+        var last = 0
+        for (i, v) in nums.enumerated().reversed() {
+            if i + v >= last {
+                last = i
+            }
+        }
+        return last == 0
+    }
+    func canJump20(_ nums: [Int]) -> Bool {
+        var position = 0
+        var i = nums.count - 1
+        while i >= 0 {
+            if i + nums[i] >= position {
+                position = i
+            }
+            i -= 1
+        }
+        return position == 0
+    }
+    
+    //动态规划(超时)
+    func canJump30(_ nums: [Int]) -> Bool {
+        let n = nums.count
+        var dp = [Bool](repeating: false, count: n)
+        dp[0] = true
+        for i in 0..<n {
+            for j in 0..<i {
+                if dp[j] && j + nums[j] >= i {
+                    dp[i] = true
+                    break
+                }
+            }
+        }
+        return dp[n - 1]
+    }
+    
+}
diff --git a/Week_06/JumpGameII.swift b/Week_06/JumpGameII.swift
new file mode 100644
index 00000000..297886b4
--- /dev/null
+++ b/Week_06/JumpGameII.swift
@@ -0,0 +1,63 @@
+//
+//  JumpGameII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/27.
+//
+
+import Foundation
+
+class JumpGameII {
+    
+    /* 超时 从后往前贪心 */
+    func jump(_ nums: [Int]) -> Int {
+        if nums.count <= 1 {
+            return 0
+        }
+        var position = nums.count - 1
+        var step = 0
+        while position > 0 {
+            for i in 0..<position {
+                let maxP = i + nums[i]
+                if maxP >= position {
+                    step += 1
+                    position = i
+                    break
+                }
+            }
+        }
+        return step
+    }
+    
+    /* 从前往后贪心 */
+    func jump10(_ nums: [Int]) -> Int {
+        if nums.count <= 1 {
+            return 0
+        }
+        var maxIndex = 0, step = 0, end = 0
+        for i in 0..<nums.count - 1 {
+            maxIndex = max(maxIndex, i + nums[i])
+            if i == end {
+                end = maxIndex
+                step += 1
+            }
+        }
+        return step
+    }
+    
+    //动态规划,依次计算每个位置的最小步数(超时)
+    func jump20(_ nums: [Int]) -> Int {
+        let n = nums.count
+        var dp = [Int](repeating: n + 1, count: n)
+        dp[0] = 0
+        for i in 1..<n {
+            for j in 0..<i {
+                if j + nums[j] >= i {
+                    dp[i] = min(dp[i], dp[j] + 1)
+                }
+            }
+        }
+        return dp[n - 1]
+    }
+    
+}
diff --git a/Week_06/LongestCommonSubsequence.swift b/Week_06/LongestCommonSubsequence.swift
new file mode 100644
index 00000000..2e993815
--- /dev/null
+++ b/Week_06/LongestCommonSubsequence.swift
@@ -0,0 +1,33 @@
+//
+//  LongestCommonSubsequence.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/1.
+//
+
+import Foundation
+
+class LongestCommonSubsequence {
+    //最长公共子序列
+    func longestCommonSubsequence(_ text1: String, _ text2: String) -> Int {
+        guard text1.count > 0, text2.count > 0 else {
+            return 0
+        }
+        let n1 = text1.count, n2 = text2.count
+        var dp = [[Int]](repeating: [Int](repeating: 0, count: n2 + 1), count: n1 + 1)
+        let charArr1 = Array(text1), charArr2 = Array(text2)
+        for i in 1..<n1 + 1 {
+            for j in 1..<n2 + 1 {
+                //如果相等对角线加一,如果不等上左最大值
+                if charArr1[i - 1] == charArr2[j - 1] {
+                    dp[i][j] = dp[i - 1][j - 1] + 1
+                } else {
+                    dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])
+                }
+            }
+        }
+        return dp[n1][n2]
+    }
+    
+    
+}
diff --git a/Week_06/MaxSquare.swift b/Week_06/MaxSquare.swift
new file mode 100644
index 00000000..f917a163
--- /dev/null
+++ b/Week_06/MaxSquare.swift
@@ -0,0 +1,34 @@
+//
+//  MaxSquare.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/10.
+//
+
+import Foundation
+
+class MaxSquare {
+    
+    // 最大正方形
+    func maximalSquare(_ matrix: [[Character]]) -> Int {
+        if matrix.count <= 0 || matrix[0].count <= 0 {
+            return 0
+        }
+        let m = matrix.count, n = matrix[0].count
+        var dp = [[Int]](repeating: [Int](repeating: 0, count: n), count: m)
+        var maxSide = 0
+        for i in 0..<m {
+            for j in 0..<n {
+                if matrix[i][j] == "1" {
+                    if i == 0 || j == 0 {
+                        dp[i][j] = 1
+                    } else {
+                        dp[i][j] = min(dp[i -  1][j], dp[i][j - 1], dp[i - 1][j - 1]) + 1
+                    }
+                    maxSide = max(maxSide, dp[i][j])
+                }
+            }
+        }
+        return maxSide * maxSide
+    }
+}
diff --git a/Week_06/MaxSubarray.swift b/Week_06/MaxSubarray.swift
new file mode 100644
index 00000000..b222d623
--- /dev/null
+++ b/Week_06/MaxSubarray.swift
@@ -0,0 +1,24 @@
+//
+//  MaxSubarray.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/31.
+//
+
+import Foundation
+
+class MaxSubarray {
+    
+    // 动态规划
+    func maxSubArray(_ nums: [Int]) -> Int {
+        guard nums.count > 0 else {
+            return 0
+        }
+        var pre = 0, ans = nums[0]
+        for i in nums {
+            pre = max(pre + i, i)
+            ans = max(pre, ans)
+        }
+        return ans
+    }
+}
diff --git a/Week_06/MinPathSum.swift b/Week_06/MinPathSum.swift
new file mode 100644
index 00000000..4ab77c3b
--- /dev/null
+++ b/Week_06/MinPathSum.swift
@@ -0,0 +1,52 @@
+//
+//  MinPathSum.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/3.
+//
+
+import Foundation
+
+class MinPathSum {
+    //最小路径和
+    func minPathSum(_ grid: [[Int]]) -> Int {
+        guard grid.count > 0 else {
+            return 0
+        }
+        let m = grid.count, n = grid[0].count
+        var dp = grid
+        for i in 1..<m {
+            dp[i][0] = dp[i][0] + dp[i - 1][0]
+        }
+        for j in 1..<n {
+            dp[0][j] = dp[0][j] + dp[0][j - 1]
+        }
+        for i in 1..<m {
+            for j in 1..<n {
+                dp[i][j] = min(dp[i - 1][j], dp[i][j - 1]) + dp[i][j]
+            }
+        }
+        return dp[m - 1][n - 1]
+    }
+    
+    func minPathSum10(_ grid: [[Int]]) -> Int {
+        guard grid.count > 0, grid.first!.count > 0 else {
+            return 0
+        }
+        let m = grid.count, n = grid.first!.count
+        var dp = grid
+        for i in 0..<m {
+            for j in 0..<n {
+                if i == 0 && j != 0 {
+                    dp[i][j] += dp[i][j - 1]
+                } else if i != 0 && j == 0 {
+                    dp[i][j] += dp[i - 1][j]
+                } else if i != 0 && j != 0 {
+                    dp[i][j] += min(dp[i][j - 1], dp[i - 1][j])
+                }
+            }
+        }
+        return dp[m - 1][n - 1]
+    }
+    
+}
diff --git a/Week_06/PerfectSquare.swift b/Week_06/PerfectSquare.swift
new file mode 100644
index 00000000..68c88b50
--- /dev/null
+++ b/Week_06/PerfectSquare.swift
@@ -0,0 +1,33 @@
+//
+//  PerfectSquare.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/10.
+//
+
+import Foundation
+
+class PerfectSquare {
+    //动态规划
+    func numSquares(_ n: Int) -> Int {
+        guard n > 0 else {
+            return 0
+        }
+        var dp = [Int](repeating: n + 1, count: n + 1)
+        dp[0] = 0
+        for i in 1...n {
+            dp[i] = i
+            var j = 1
+            while i >= j * j {
+                dp[i] = min(dp[i], dp[i - j * j] + 1)
+                //print(dp[i])
+                j += 1
+            }
+        }
+        return dp[n]
+    }
+    
+    func test() {
+        print(numSquares(2))
+    }
+}
diff --git a/Week_06/StockIII.swift b/Week_06/StockIII.swift
new file mode 100644
index 00000000..15993da6
--- /dev/null
+++ b/Week_06/StockIII.swift
@@ -0,0 +1,23 @@
+//
+//  StockIII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/9.
+//
+
+import Foundation
+
+class StockIII {
+    func maxProfit(_ prices: [Int]) -> Int {
+        let n = prices.count
+        var buy1 = -prices[0], sell1 = 0
+        var buy2 = -prices[0], sell2 = 0
+        for i in 1..<n {
+            buy1 = max(buy1, -prices[i])
+            sell1 = max(sell1, buy1 + prices[i])
+            buy2 = max(buy2, sell1 - prices[i])
+            sell2 = max(sell2, buy2 + prices[i])
+        }
+        return sell2
+    }
+}
diff --git a/Week_06/Triangle.swift b/Week_06/Triangle.swift
new file mode 100644
index 00000000..6109ad3a
--- /dev/null
+++ b/Week_06/Triangle.swift
@@ -0,0 +1,55 @@
+//
+//  Triangle.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/3.
+//
+
+import Foundation
+
+class Triangle {
+    //从上往下
+    func minimumTotal(_ triangle: [[Int]]) -> Int {
+        var dp = triangle
+        let n = dp.count
+        for i in 1..<n {
+            dp[i][0] = dp[i - 1][0] + dp[i][0]
+            for j in 1..<i {
+                dp[i][j] = min(dp[i - 1][j], dp[i - 1][j - 1]) + dp[i][j]
+            }
+            dp[i][i] = dp[i - 1][i - 1] + dp[i][i]
+        }
+        var minVal = dp[n - 1][0]
+        for i in 1..<n {
+            minVal = min(minVal, dp[n - 1][i])
+        }
+        return minVal
+    }
+    
+    //从下往上
+    func minimumTotal10(_ triangle: [[Int]]) -> Int {
+        var dp = triangle
+        let n = dp.count
+        for i in (0..<n - 1).reversed() {
+            for j in 0...i {
+                dp[i][j] = min(dp[i + 1][j], dp[i + 1][j + 1]) + dp[i][j]
+            }
+        }
+        return dp[0][0]
+    }
+    //一维数组
+    func minimumTotal20(_ triangle: [[Int]]) -> Int {
+        let n = triangle.count
+        var dp = triangle[n - 1]
+        for i in (0..<n - 1).reversed() {
+            for j in 0...i {
+                dp[j] = min(dp[j], dp[j + 1]) + triangle[i][j]
+            }
+        }
+        return dp[0]
+    }
+    
+    func test() {
+        print(minimumTotal20([[2],[3,4],[6,5,7],[4,1,8,3]]))
+    }
+}
diff --git a/Week_06/UniquePaths.swift b/Week_06/UniquePaths.swift
new file mode 100644
index 00000000..008c2c8b
--- /dev/null
+++ b/Week_06/UniquePaths.swift
@@ -0,0 +1,53 @@
+//
+//  UniquePaths.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/2.
+//
+
+import Foundation
+
+class UniquePaths {
+    //不同路径
+    
+    //二维数组
+    func uniquePaths(_ m: Int, _ n: Int) -> Int {
+        guard m > 0, n > 0 else {
+            return 0
+        }
+        var dp = [[Int]](repeating: [Int](repeating: 1, count: n), count: m)
+        for i in 1..<m {
+            for j in 1..<n {
+                dp[i][j] = dp[i - 1][j] + dp[i][j - 1]
+            }
+        }
+        return dp[m - 1][n - 1]
+    }
+    
+    //使用一维数组
+    func uniquePaths10(_ m: Int, _ n: Int) -> Int {
+        guard m > 0, n > 0 else {
+            return 0
+        }
+        var cur = [Int](repeating: 1, count: n)
+        for _ in 1..<m {
+            for j in 1..<n {
+                cur[j] = cur[j - 1]
+            }
+        }
+        return cur[n - 1]
+    }
+    
+    //数学组合数计算
+    func uniquePaths20(_ m: Int, _ n: Int) -> Int {
+        var ans = 1
+        var x = n, y = 1
+        while y < m {
+            ans = ans * x / y
+            x += 1
+            y += 1
+        }
+        return ans
+    }
+    
+}
diff --git a/Week_06/UniquePathsII.swift b/Week_06/UniquePathsII.swift
new file mode 100644
index 00000000..56701360
--- /dev/null
+++ b/Week_06/UniquePathsII.swift
@@ -0,0 +1,58 @@
+//
+//  UniquePathsII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/2.
+//
+
+import Foundation
+
+class UniquePathsII {
+    
+    func uniquePathsWithObstacles(_ obstacleGrid: [[Int]]) -> Int {
+        guard obstacleGrid.count > 0 else {
+            return 0
+        }
+        let m = obstacleGrid.count, n = obstacleGrid[0].count
+        var dp = [[Int]](repeating: [Int](repeating: 0, count: n), count: m)
+        dp[0][0] = 1
+        for i in 0..<m {
+            for j in 0..<n {
+                if obstacleGrid[i][j] == 1 {
+                    dp[i][j] = 0
+                    continue
+                }
+                if i - 1 >= 0 {
+                    dp[i][j] += dp[i - 1][j]
+                }
+                if j - 1 >= 0 {
+                    dp[i][j] += dp[i][j - 1]
+                }
+            }
+        }
+        return dp[m-1][n-1]
+    }
+    
+    
+    func uniquePathsWithObstacles10(_ obstacleGrid: [[Int]]) -> Int {
+        guard obstacleGrid.count > 0 else {
+            return 0
+        }
+        let m = obstacleGrid.count, n = obstacleGrid[0].count
+        var f = [Int](repeating: 0, count: n)
+        f[0] = 1
+        for i in 0..<m {
+            for j in 0..<n {
+                if obstacleGrid[i][j] == 1 {
+                    f[j] = 0
+                    continue
+                }
+                if j - 1 >= 0 && obstacleGrid[i][j - 1] == 0 {
+                    f[j] += f[j - 1]
+                }
+            }
+        }
+        return f[n - 1]
+    }
+    
+}

From 4879111145da969f560599790a71bd2247df9c38 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 10 Jan 2021 22:39:38 +0800
Subject: [PATCH 24/51] =?UTF-8?q?=E6=8F=90=E4=BA=A4=E6=80=BB=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_05/README.md        |  5 ++++-
 Week_06/DecodeWays.swift | 32 --------------------------------
 Week_06/README.md        | 27 ++++++++++++++++++++++++++-
 3 files changed, 30 insertions(+), 34 deletions(-)
 delete mode 100644 Week_06/DecodeWays.swift

diff --git a/Week_05/README.md b/Week_05/README.md
index 50de3041..14c7d4cd 100644
--- a/Week_05/README.md
+++ b/Week_05/README.md
@@ -1 +1,4 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 动态规划
+
diff --git a/Week_06/DecodeWays.swift b/Week_06/DecodeWays.swift
deleted file mode 100644
index c042ddd8..00000000
--- a/Week_06/DecodeWays.swift
+++ /dev/null
@@ -1,32 +0,0 @@
-//
-//  DecodeWays.swift
-//  LeetCodeDemo
-//
-//  Created by Yangdongwu on 2021/1/10.
-//
-
-import Foundation
-
-class DecodeWays {
-//    func numDecodings(_ s: String) -> Int {
-//        if s.count <= 0 {
-//            return 0
-//        }
-//        let s = Array(s)
-//        if s[0] == "0" {
-//            return 0
-//        }
-//        let n = s.count
-//        var dp = [Int](repeating: 1, count: n + 1)
-//        dp[0] = 1
-//        dp[1] = s[0] == "0" ? 0 : 1
-//        for i in 1..<n + 1 {
-//
-//            if Int(s[i]) < 7 && (s[i - 1] == "1" || s[i - 1] == "2") {
-//                return 0
-//            }
-//
-//        }
-//        return dp[n]
-//    }
-}
diff --git a/Week_06/README.md b/Week_06/README.md
index 50de3041..4d478437 100644
--- a/Week_06/README.md
+++ b/Week_06/README.md
@@ -1 +1,26 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+
+这周题目是真的多啊，做不完啊，只能慢慢做了。
+
+DP方程写不出，看到题目就懵懵的。
+
+## 动态规划
+
+[动态规划维基百科定义](https://zh.wikipedia.org/wiki/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92)
+
+### 特点和适合问题
+
+- 适用于有重叠子问题
+- 适用于最优子结构
+- 所耗时间往往远少于朴素解法
+
+### 常见问题
+
+- 爬楼梯
+- Fibonacci
+- 零钱兑换
+- 最长公共子序列
+- 不同路径
+- 最小路径和
\ No newline at end of file

From e574cc5029d23c996706b3a93012c08c0fa34c71 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 10 Jan 2021 22:53:52 +0800
Subject: [PATCH 25/51] =?UTF-8?q?=E5=AD=A6=E4=B9=A0=E7=AC=94=E8=AE=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_06/README.md | 16 ++++++++++++++--
 1 file changed, 14 insertions(+), 2 deletions(-)

diff --git a/Week_06/README.md b/Week_06/README.md
index 4d478437..d26ec152 100644
--- a/Week_06/README.md
+++ b/Week_06/README.md
@@ -2,7 +2,7 @@
 
 ## 总结
 
-这周题目是真的多啊，做不完啊，只能慢慢做了。
+这周题目是真的多啊，做不完啊，只能慢慢做了。。。
 
 DP方程写不出，看到题目就懵懵的。
 
@@ -14,8 +14,19 @@ DP方程写不出，看到题目就懵懵的。
 
 - 适用于有重叠子问题
 - 适用于最优子结构
+- 无后效性（状态一旦确定，不受后续状态影响）
 - 所耗时间往往远少于朴素解法
 
+### 解题方法
+
+#### 状态转移表
+- 大多动态规划可以解决的问题都可以画出状态转移表
+- 一般都是二维的，可以优化空间复杂度为一维的
+
+#### 状态转移方程
+
+状态转移方程是解决动态规划的关键，也是比较难的地方。
+
 ### 常见问题
 
 - 爬楼梯
@@ -23,4 +34,5 @@ DP方程写不出，看到题目就懵懵的。
 - 零钱兑换
 - 最长公共子序列
 - 不同路径
-- 最小路径和
\ No newline at end of file
+- 最小路径和
+- 0-1背包问题
\ No newline at end of file

From 9035ea10623431d26e27a8a5bd9c7d4d7a05e889 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sat, 16 Jan 2021 22:45:17 +0800
Subject: [PATCH 26/51] =?UTF-8?q?=E6=80=BB=E7=BB=93=20Trie=20=E6=A0=91?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_07/README.md | 91 ++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 90 insertions(+), 1 deletion(-)

diff --git a/Week_07/README.md b/Week_07/README.md
index 50de3041..10dcaf7f 100644
--- a/Week_07/README.md
+++ b/Week_07/README.md
@@ -1 +1,90 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+
+时间过得好快啊，开始下半学期的学习了，上学期的东西感觉还有好多没有掌握，还要加油啊，还好这周的题目好几个都是以前做过的，比较熟悉，拍拍我的小心脏，缓缓气。加油！！！
+
+## Trie 树
+
+别名：字典树，单词查找树或键树
+### 基本结构
+- 它是一个树形结构。
+- 它是一种专门处理字符串匹配的数据结构，用来解决在一组字符串集合中快速查找某个字符串的问题。
+- 典型应用是用于统计和排序大量的字符串（但不仅限于字符串），所以经常被搜索引擎系统用于文本词频统计
+- 优点，最大限度地减少无谓的字符串比较，查询效率比哈希表高。
+
+### 基本性质
+- 节点不存完整单词
+    - 字符（也可以通过数组位置对应得到）
+    - 下一个字符对应的节点列表
+    - 是否是最后一个字符（到此是否可以组成单词）
+- 从根结点到某一结点，路径上经过的字符连接起来，为该结点对应的字符串； 
+- 每个结点的所有子结点路径代表的字符都不相同。
+
+### 核心思想
+- Trie 树的核心思想是空间换时间。
+- 利用字符串的公共前缀来降低查询时间的开销以达到提高效率的目的。
+
+### 时间复杂度：
+- 插入：O(n)，n是所有插入字符串的长度和
+- 查找：O(k)，k是查找单词的字符长度
+
+### 代码
+
+``` swift
+
+class TrieTreeNode {
+    public var next = [Character: TrieTreeNode]()
+    public var end: Bool
+    
+    public init() {
+        self.end = false
+    }
+}
+
+class Trie {
+
+    var root: TrieTreeNode
+
+    /** Initialize your data structure here. */
+    init() {
+        root = TrieTreeNode()
+    }
+    
+    /** Inserts a word into the trie. */
+    func insert(_ word: String) {
+        var node = root
+        for c in word {
+            if node.next[c] == nil {
+                node.next[c] = TrieTreeNode()
+            }
+            node = node.next[c]!
+        }
+        node.end = true
+    }
+    
+    /** Returns if the word is in the trie. */
+    func search(_ word: String) -> Bool {
+        return findWord(word)?.end ?? false
+    }
+    
+    /** Returns if there is any word in the trie that starts with the given prefix. */
+    func startsWith(_ prefix: String) -> Bool {
+        return findWord(prefix) != nil
+    }
+    
+    func findWord(_ word: String) -> TrieTreeNode? {
+        var node = root
+        for c in word {
+            if let next = node.next[c] {
+                node = next
+            } else {
+                return nil
+            }
+        }
+        return node
+    }
+}
+
+```
+

From 77195001cc89cd8e100c5e572257f244173e6127 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 17 Jan 2021 22:09:24 +0800
Subject: [PATCH 27/51] Update README.md

---
 Week_07/README.md | 80 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 80 insertions(+)

diff --git a/Week_07/README.md b/Week_07/README.md
index 10dcaf7f..bd9893e1 100644
--- a/Week_07/README.md
+++ b/Week_07/README.md
@@ -88,3 +88,83 @@ class Trie {
 
 ```
 
+## 高级搜索
+
+- 朴素搜索
+- 优化方式：
+    - 不重复，利用缓存
+    - 剪枝，剪掉不必要的分支
+- 搜索方向
+    - 广度优先搜索 DFS
+    - 深度优先搜索 BFS
+- 双向搜索
+    - 首尾同时扩散
+    - 避免减少搜索访问数量
+- 启发式搜索 Heuristic Search (A*)
+    - 估价函数 
+    - 优先级搜索
+
+启发式函数：h(n)，它用来评价哪些结点最有希望的是一个我们要找的结点，h(n) 会返回一个非负实数,也可以认为是从结点n的目标结点路径的估计成本。
+启发式函数是一种告知搜索方向的方法。它提供了一种明智的方法来猜测哪个邻居结点会导向一个目标。
+
+## 二叉树
+
+### 二叉树的遍历
+- 前序遍历Pre-order：根左右
+- 中序遍历In-order：左根右
+- 后序遍历Post-order：左右根
+
+### 二叉搜索树(Binary Search Tree)
+别名：有序二叉树，排序二叉树（Sorted Binary Tree），有序二叉树
+- 左子树所有结点的值均小于根节点的值，右子树所有结点的值均大于根结点的值
+- 依次类推，左右子树也为二叉搜索树（这就是重复性）
+- 中序遍历是升序排列的
+- 空树也是二叉搜索树
+
+#### 问题
+当二叉树的结构趋于一个链表的时候，查找时间复杂的退化为O(n)，保证性能的关键是保证二维维度。
+
+## 平衡二叉搜索树
+
+#### AVL树
+
+- 左右两个子树的高度差的绝对值不超过1
+- 左右两个子树都是一棵平衡二叉树
+
+#### 平衡因子
+- 结点的左子树与右子树的高度(深度)差即为该结点的平衡因子（BF,Balance Factor）。
+- 平衡二叉树上所有结点的平衡因子只可能是 -1，0 或 1
+
+#### 添加节点
+- 添加节点会破坏平衡
+- 通过旋转操作进行平衡（左旋，右旋，左右旋，右左旋）
+
+#### 红黑树
+
+### 红黑树
+
+红黑树是一种近似平衡的二叉搜索树（Binary Search Tree），它能够确保任何一
+个结点的左右子树的高度差小于两倍。
+
+- 每个结点要么是红色，要么是黑色
+- 根节点是黑色的；
+- 每个叶子节点都是黑色的空节点（NIL），也就是说，叶子节点不存储数据；
+- 任何相邻的节点都不能同时为红色，也就是说，红色节点是被黑色节点隔开的；
+- 每个节点，从该节点到达其可达叶子节点的所有路径，都包含相同数目的黑色节点；
+
+### 红黑树
+
+红黑树是一种近似平衡的二叉搜索树（Binary Search Tree），它能够确保任何一
+个结点的左右子树的高度差小于两倍。
+
+- 每个结点要么是红色，要么是黑色
+- 根节点是黑色的；
+- 每个叶子节点都是黑色的空节点（NIL），也就是说，叶子节点不存储数据；
+- 任何相邻的节点都不能同时为红色，也就是说，红色节点是被黑色节点隔开的；
+- 每个节点，从该节点到达其可达叶子节点的所有路径，都包含相同数目的黑色节点；
+
+### AVL树和红黑树的区别
+- AVL树是严格平衡，红黑树是近似平衡
+- 红黑树的查询性能略微逊色于AVL树；
+- 红黑树在插入和删除上优于AVL树，AVL树每次插入删除会进行大量的平衡度计算；
+- 实际应用中，若搜索的次数远远大于插入和删除，那么选择AVL，如果搜索，插入删除次数几乎差不多，应该选择红黑树。
\ No newline at end of file

From 0c2d6246411ace4b386c41e25b36a49b8f49cd38 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 17 Jan 2021 22:26:05 +0800
Subject: [PATCH 28/51] =?UTF-8?q?week07=E4=BB=A3=E7=A0=81?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_07/ClimbStairs.swift         |  44 +++++++++++++
 Week_07/GenerateParenthesis.swift |  33 ++++++++++
 Week_07/MinGeneticMutation.swift  |  59 +++++++++++++++++
 Week_07/NQueens.swift             |  57 ++++++++++++++++
 Week_07/NumberOfIsland.swift      |  39 +++++++++++
 Week_07/TrieTree.swift            |  80 ++++++++++++++++++++++
 Week_07/WordLadder.swift          | 106 ++++++++++++++++++++++++++++++
 7 files changed, 418 insertions(+)
 create mode 100644 Week_07/ClimbStairs.swift
 create mode 100644 Week_07/GenerateParenthesis.swift
 create mode 100644 Week_07/MinGeneticMutation.swift
 create mode 100644 Week_07/NQueens.swift
 create mode 100644 Week_07/NumberOfIsland.swift
 create mode 100644 Week_07/TrieTree.swift
 create mode 100644 Week_07/WordLadder.swift

diff --git a/Week_07/ClimbStairs.swift b/Week_07/ClimbStairs.swift
new file mode 100644
index 00000000..2e98a595
--- /dev/null
+++ b/Week_07/ClimbStairs.swift
@@ -0,0 +1,44 @@
+//
+//  ClimbStairs.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/23.
+//
+
+import Foundation
+
+class ClimbStairs {
+    //动态规划
+    func climbStairs(_ n: Int) -> Int {
+        var p = 0, q = 0, r = 1
+        for _ in 0..<n {
+            p = q
+            q = r
+            r = p + q
+        }
+        return r
+    }
+    
+    //带缓存的递归
+    var dic = [0: 1, 1: 1, 2: 2]
+    func climbStairs10(_ n: Int) -> Int {
+        if dic[n] == nil {
+            dic[n] = climbStairs(n - 1) + climbStairs(n - 2)
+        }
+        return dic[n]!
+    }
+    //可以指定每步台阶数
+    func climbStairs20(_ n: Int) -> Int {
+        let steps = [1, 2]
+        var dp = [Int](repeating: 0, count: n + 1)
+        dp[0] = 1
+        for i in 0..<n + 1 {
+            for step in steps {
+                if step <= i {
+                    dp[i] += dp[i - step]
+                }
+            }
+        }
+        return dp[n]
+    }
+}
diff --git a/Week_07/GenerateParenthesis.swift b/Week_07/GenerateParenthesis.swift
new file mode 100644
index 00000000..56166f3d
--- /dev/null
+++ b/Week_07/GenerateParenthesis.swift
@@ -0,0 +1,33 @@
+//
+//  GenerateParenthesis.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/15.
+//
+
+import Foundation
+
+class GenerateParenthesis {
+    
+    func generateParenthesis(_ n: Int) -> [String] {
+        var res = [String]()
+        generate(0, 0, n, "", &res)
+        return res
+    }
+    
+    func generate(_ left: Int, _ right: Int, _ n: Int, _ s: String, _ res: inout [String]) {
+        if left == n && right == n {
+            res.append(s)
+            return
+        }
+        //剪枝
+        if left < n {
+            generate(left + 1, right, n, s + "(", &res)
+        }
+        if left > right {
+            generate(left, right + 1, n, s + ")", &res)
+        }
+    }
+    
+    
+}
diff --git a/Week_07/MinGeneticMutation.swift b/Week_07/MinGeneticMutation.swift
new file mode 100644
index 00000000..b14455f8
--- /dev/null
+++ b/Week_07/MinGeneticMutation.swift
@@ -0,0 +1,59 @@
+//
+//  MinGeneticMutation.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/28.
+//
+
+import Foundation
+class MinGeneticMutation {
+    func minMutation(_ start: String, _ end: String, _ bank: [String]) -> Int {
+        let bankSet = Set<String>(bank)
+        guard bankSet.contains(end) else {
+            return -1
+        }
+        var queue = [start]
+        var visited = Set<String>()
+        visited.insert(start)
+        var res = 0
+        while !queue.isEmpty {
+            let levelCount = queue.count
+            for _ in 0..<levelCount {
+                let cur = queue.removeFirst()
+                if changeGenetic(cur, end, bankSet, &queue, &visited) {
+                    return res + 1
+                }
+            }
+            res += 1
+        }
+        return -1
+    }
+    
+    func changeGenetic(_ cur: String, _ end: String, _ bankSet: Set<String>, _ queue: inout [String], _ visited: inout Set<String>) -> Bool {
+        var arr: [Character] = Array(cur)
+        for i in 0..<arr.count {
+            let originChar = arr[i]
+            for g in "ACGT" {
+                if originChar == g {
+                    continue
+                }
+                arr[i] = g
+                let next = String(arr)
+                if next == end {
+                    return true
+                }
+                if bankSet.contains(next) && !visited.contains(next) {
+                    queue.append(next)
+                    visited.insert(next)
+                }
+            }
+            arr[i] = originChar
+        }
+        return false
+    }
+    
+    func test() {
+        print(minMutation("AACCGGTT", "AACCGGTA", ["AACCGGTA"]))
+    }
+    
+}
diff --git a/Week_07/NQueens.swift b/Week_07/NQueens.swift
new file mode 100644
index 00000000..99a75c3c
--- /dev/null
+++ b/Week_07/NQueens.swift
@@ -0,0 +1,57 @@
+//
+//  NQueens.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/23.
+//
+
+import Foundation
+
+class NQueens {
+    
+    func solveNQueens(_ n: Int) -> [[String]] {
+        var res = [[String]]()
+        var queens = [Int](repeating: -1, count: n)
+        var cols = Set<Int>(), dia1 = Set<Int>(), dia2 = Set<Int>()
+        func backtrack(_ row: Int) {
+            if row == n {
+                res.append(generateBoard(queens, n))
+                return
+            }
+            for i in 0..<n {
+                if cols.contains(i) {
+                    continue
+                }
+                let d1 = row - i
+                if dia1.contains(d1) {
+                    continue
+                }
+                let d2 = row + i
+                if dia2.contains(d2) {
+                    continue
+                }
+                queens[row] = i
+                cols.insert(i)
+                dia1.insert(d1)
+                dia2.insert(d2)
+                backtrack(row + 1)
+                queens[row] = -1
+                cols.remove(i)
+                dia1.remove(d1)
+                dia2.remove(d2)
+            }
+        }
+        backtrack(0)
+        return res
+    }
+    
+    func generateBoard(_ queens: [Int], _ n: Int) -> [String] {
+        var board = [String]()
+        for i in 0..<n {
+            var row = [Character](repeating: ".", count: n)
+            row[queens[i]] = "Q"
+            board.append(String(row))
+        }
+        return board
+    }
+}
diff --git a/Week_07/NumberOfIsland.swift b/Week_07/NumberOfIsland.swift
new file mode 100644
index 00000000..d04694a7
--- /dev/null
+++ b/Week_07/NumberOfIsland.swift
@@ -0,0 +1,39 @@
+//
+//  NumberOfIsland.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/25.
+//
+
+import Foundation
+
+class NumberOfIsland {
+    
+    func numIslands(_ grid: [[Character]]) -> Int {
+        guard grid.count > 0, grid[0].count > 0 else {
+            return 0
+        }
+        var temp = grid, res = 0
+        for i in 0..<temp.count {
+            for j in 0..<temp[0].count {
+                if temp[i][j] == "1" {
+                    res += 1
+                }
+                dfs(i, j, grid.count, grid[0].count, &temp)
+            }
+        }
+        return res
+    }
+    
+    func dfs(_ row: Int, _ col: Int, _ m: Int, _ n: Int, _ temp: inout [[Character]]) {
+        guard row >= 0, row < m, col >= 0, col < n, temp[row][col] == "1" else {
+            return
+        }
+        temp[row][col] = "0"
+        dfs(row - 1, col, m, n, &temp)
+        dfs(row + 1, col, m, n, &temp)
+        dfs(row, col - 1, m, n, &temp)
+        dfs(row, col + 1, m, n, &temp)
+    }
+    
+}
diff --git a/Week_07/TrieTree.swift b/Week_07/TrieTree.swift
new file mode 100644
index 00000000..f569cb90
--- /dev/null
+++ b/Week_07/TrieTree.swift
@@ -0,0 +1,80 @@
+//
+//  TrieTree.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/16.
+//
+
+import Foundation
+
+class TrieTreeNode {
+    public var next = [Character: TrieTreeNode]()
+    public var end: Bool
+    
+    public init() {
+        self.end = false
+    }
+}
+
+class Trie {
+
+    var root: TrieTreeNode
+
+    /** Initialize your data structure here. */
+    init() {
+        root = TrieTreeNode()
+    }
+    
+    /** Inserts a word into the trie. */
+    func insert(_ word: String) {
+        var node = root
+        for c in word {
+            if node.next[c] == nil {
+                node.next[c] = TrieTreeNode()
+            }
+            node = node.next[c]!
+        }
+        node.end = true
+    }
+    
+    /** Returns if the word is in the trie. */
+    func search(_ word: String) -> Bool {
+        return findWord(word)?.end ?? false
+    }
+    
+    /** Returns if there is any word in the trie that starts with the given prefix. */
+    func startsWith(_ prefix: String) -> Bool {
+        return findWord(prefix) != nil
+    }
+    
+    func findWord(_ word: String) -> TrieTreeNode? {
+        var node = root
+        for c in word {
+            if let next = node.next[c] {
+                node = next
+            } else {
+                return nil
+            }
+        }
+        return node
+    }
+    
+    func test() {
+        let word = "apple"
+        let obj = Trie()
+        obj.insert(word)
+        let ret_2: Bool = obj.search(word)
+        let ret_3: Bool = obj.startsWith("app")
+        let ret_4: Bool = obj.search("app")
+        let ret_5: Bool = obj.startsWith("apl")
+        print(ret_2, ret_3, ret_4, ret_5);
+    }
+}
+
+/**
+ * Your Trie object will be instantiated and called as such:
+ * let obj = Trie()
+ * obj.insert(word)
+ * let ret_2: Bool = obj.search(word)
+ * let ret_3: Bool = obj.startsWith(prefix)
+ */
diff --git a/Week_07/WordLadder.swift b/Week_07/WordLadder.swift
new file mode 100644
index 00000000..53e98781
--- /dev/null
+++ b/Week_07/WordLadder.swift
@@ -0,0 +1,106 @@
+//
+//  WordLadder.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/26.
+//
+
+import Foundation
+
+class WordLadder {
+    
+    //单向bfs
+    func ladderLength(_ beginWord: String, _ endWord: String, _ wordList: [String]) -> Int {
+        let wordSet = Set(wordList)
+        guard wordSet.contains(endWord) else {
+            return 0
+        }
+        var queue = [beginWord]
+        var visited: Set = [beginWord]
+        var res = 1
+        while !queue.isEmpty {
+            let n = queue.count
+            for _ in 0..<n {
+                let word = queue.removeFirst()
+                if changeWordEveryOneLetter(word, endWord, &queue, wordSet, &visited) {
+                    return res + 1
+                }
+            }
+            res += 1
+        }
+        return 0
+    }
+    
+    func changeWordEveryOneLetter(_ curWord: String, _ endWord: String, _ queue: inout [String], _ wordSet: Set<String>, _ visited: inout Set<String>) -> Bool {
+        var wordArr = Array(curWord)
+        for i in 0..<wordArr.count {
+            let originChar = wordArr[i]
+            for j in "qwertyuiopasdfghjklmnbvcxz" {
+                if j == originChar {
+                    continue
+                }
+                wordArr[i] = j
+                let tempStr = String(wordArr)
+                if tempStr == endWord {
+                    return true
+                }
+                if wordSet.contains(tempStr) && !visited.contains(tempStr) {
+                    queue.append(tempStr)
+                    visited.insert(tempStr)
+                }
+            }
+            wordArr[i] = originChar
+        }
+        return false
+    }
+    
+    //双向bfs
+    func ladderLength10(_ beginWord: String, _ endWord: String, _ wordList: [String]) -> Int {
+        let wordSet = Set(wordList)
+        guard wordSet.contains(endWord) else {
+            return 0
+        }
+        var beginSet: Set = [beginWord], endSet: Set = [endWord], visited: Set = [beginWord]
+        var res = 1
+        while !beginSet.isEmpty && !endSet.isEmpty {
+            if beginSet.count > endSet.count {
+                swap(&beginSet, &endSet)
+            }
+            var nextLevelSet = Set<String>()
+            for word in beginSet {
+                if changeWordEveryOneLetter10(word, endSet, wordSet, &visited, &nextLevelSet) {
+                    return res + 1
+                }
+            }
+            beginSet = nextLevelSet
+            res += 1
+        }
+        return 0
+    }
+    
+    func changeWordEveryOneLetter10(_ word: String, _ endSet: Set<String>, _ wordSet: Set<String>, _ visited: inout Set<String>, _ nextLevelSet: inout Set<String>) -> Bool {
+        var wordArr = Array(word)
+        for i in 0..<wordArr.count {
+            let originChar = wordArr[i]
+            for j in "qwertyuioplkjhgfdsazxcvbnm" {
+                if originChar == j {
+                    continue
+                }
+                wordArr[i] = j
+                let tempStr = String(wordArr)
+                if endSet.contains(tempStr) {
+                    return true
+                }
+                if wordSet.contains(tempStr) && !visited.contains(tempStr) {
+                    nextLevelSet.insert(tempStr)
+                    visited.insert(tempStr)
+                }
+            }
+            wordArr[i] = originChar
+        }
+        return false
+    }
+    
+    
+}
+

From 924a0d97f91ebc21ee057c38d3f0688aa1208607 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Sun, 17 Jan 2021 22:29:37 +0800
Subject: [PATCH 29/51] Update README.md

---
 Week_07/README.md | 15 +--------------
 1 file changed, 1 insertion(+), 14 deletions(-)

diff --git a/Week_07/README.md b/Week_07/README.md
index bd9893e1..3e0d30e2 100644
--- a/Week_07/README.md
+++ b/Week_07/README.md
@@ -139,19 +139,6 @@ class Trie {
 - 添加节点会破坏平衡
 - 通过旋转操作进行平衡（左旋，右旋，左右旋，右左旋）
 
-#### 红黑树
-
-### 红黑树
-
-红黑树是一种近似平衡的二叉搜索树（Binary Search Tree），它能够确保任何一
-个结点的左右子树的高度差小于两倍。
-
-- 每个结点要么是红色，要么是黑色
-- 根节点是黑色的；
-- 每个叶子节点都是黑色的空节点（NIL），也就是说，叶子节点不存储数据；
-- 任何相邻的节点都不能同时为红色，也就是说，红色节点是被黑色节点隔开的；
-- 每个节点，从该节点到达其可达叶子节点的所有路径，都包含相同数目的黑色节点；
-
 ### 红黑树
 
 红黑树是一种近似平衡的二叉搜索树（Binary Search Tree），它能够确保任何一
@@ -167,4 +154,4 @@ class Trie {
 - AVL树是严格平衡，红黑树是近似平衡
 - 红黑树的查询性能略微逊色于AVL树；
 - 红黑树在插入和删除上优于AVL树，AVL树每次插入删除会进行大量的平衡度计算；
-- 实际应用中，若搜索的次数远远大于插入和删除，那么选择AVL，如果搜索，插入删除次数几乎差不多，应该选择红黑树。
\ No newline at end of file
+- 实际应用中，若搜索的次数远远大于插入和删除，那么选择AVL，如果搜索，插入删除次数几乎差不多，应该选择红黑树。

From de93b179248852ff8d55b44fc56319e7b14e86ca Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 17 Jan 2021 22:35:19 +0800
Subject: [PATCH 30/51] Update README.md

---
 Week_07/README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Week_07/README.md b/Week_07/README.md
index 3e0d30e2..20110c54 100644
--- a/Week_07/README.md
+++ b/Week_07/README.md
@@ -126,7 +126,7 @@ class Trie {
 
 ## 平衡二叉搜索树
 
-#### AVL树
+### AVL树
 
 - 左右两个子树的高度差的绝对值不超过1
 - 左右两个子树都是一棵平衡二叉树

From ae0c70e10211224ee6dfb510a69245b3c04b0ea3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 18 Jan 2021 14:13:07 +0800
Subject: [PATCH 31/51] =?UTF-8?q?=E5=9F=BA=E5=9B=A0=E5=8F=98=E5=8C=96?=
 =?UTF-8?q?=EF=BC=9A=E5=8F=8C=E5=90=91BFS?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_07/MinGeneticMutation.swift | 50 +++++++++++++++++++++++++++++++-
 1 file changed, 49 insertions(+), 1 deletion(-)

diff --git a/Week_07/MinGeneticMutation.swift b/Week_07/MinGeneticMutation.swift
index b14455f8..0127083b 100644
--- a/Week_07/MinGeneticMutation.swift
+++ b/Week_07/MinGeneticMutation.swift
@@ -7,6 +7,7 @@
 
 import Foundation
 class MinGeneticMutation {
+    //单向BFS
     func minMutation(_ start: String, _ end: String, _ bank: [String]) -> Int {
         let bankSet = Set<String>(bank)
         guard bankSet.contains(end) else {
@@ -52,8 +53,55 @@ class MinGeneticMutation {
         return false
     }
     
+    //双向BFS
+    func minMutation10(_ start: String, _ end: String, _ bank: [String]) -> Int {
+        let bankSet = Set<String>(bank)
+        guard bankSet.contains(end) else {
+            return -1
+        }
+        var startSet: Set = [start], endSet: Set = [end], visited: Set = [start]
+        var res = 0
+        while !startSet.isEmpty && !endSet.isEmpty {
+            if startSet.count > endSet.count {
+                swap(&startSet, &endSet)
+            }
+            var nextSet = Set<String>()
+            for word in startSet {
+                if changeGenetic10(word, &nextSet, endSet, &visited, bankSet) {
+                    return res + 1
+                }
+            }
+            res += 1
+            startSet = nextSet
+        }
+        return -1
+    }
+    
+    func changeGenetic10(_ word: String, _ nextSet: inout Set<String>, _ endSet: Set<String>, _ visited: inout Set<String>, _ bankSet: Set<String>) -> Bool {
+        var word = Array(word)
+        for i in 0..<word.count {
+            let originalChar = word[i]
+            for c in "ACGT" {
+                if originalChar == c {
+                    continue
+                }
+                word[i] = c
+                let temp = String(word)
+                if endSet.contains(temp) {
+                    return true
+                }
+                if bankSet.contains(temp) && !visited.contains(temp) {
+                    nextSet.insert(temp)
+                    visited.insert(temp)
+                }
+                word[i] = originalChar
+            }
+        }
+        return false
+    }
+    
     func test() {
-        print(minMutation("AACCGGTT", "AACCGGTA", ["AACCGGTA"]))
+        print(minMutation10("AACCGGTT", "AACCGGTA", ["AACCGGTA"]))
     }
     
 }

From 3137f46bb9a3f536b2f6a369e520d62193ee6335 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Thu, 21 Jan 2021 14:26:36 +0800
Subject: [PATCH 32/51] =?UTF-8?q?=E6=95=B0=E7=8B=AC?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_07/SolveSudoku.swift | 65 +++++++++++++++++++++++++++++++++++++++
 Week_07/ValidSudoku.swift | 33 ++++++++++++++++++++
 2 files changed, 98 insertions(+)
 create mode 100644 Week_07/SolveSudoku.swift
 create mode 100644 Week_07/ValidSudoku.swift

diff --git a/Week_07/SolveSudoku.swift b/Week_07/SolveSudoku.swift
new file mode 100644
index 00000000..741ea689
--- /dev/null
+++ b/Week_07/SolveSudoku.swift
@@ -0,0 +1,65 @@
+//
+//  SolveSudoku.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/20.
+//
+
+import Foundation
+
+class SolveSudoku {
+    
+    //第一种方式
+    func solveSudoku10(_ board: inout [[Character]]) {
+        guard board.count > 0, board[0].count > 0 else {
+            return
+        }
+        solve(&board)
+    }
+    
+    @discardableResult
+    func solve(_ board: inout [[Character]]) -> Bool {
+        for i in 0..<9 {
+            for j in 0..<9 {
+                if board[i][j] == "." {
+                    for c in "123456789" {
+                        if isValid(board, i, j, c) {
+                            board[i][j] = c
+                            if solve(&board) {
+                                return true
+                            } else {
+                                board[i][j] = "."
+                            }
+                        }
+                    }
+                    return false
+                }
+            }
+        }
+        return true
+    }
+    
+    func isValid(_ board: [[Character]], _ i: Int, _ j: Int, _ c: Character) -> Bool {
+        for k in 0..<9 {
+            if board[i][k] == c {
+                return false
+            }
+            if board[k][j] == c {
+                return false
+            }
+            if board[3 * (i / 3) + k / 3][3 * (j / 3) + k % 3] == c {
+                return false
+            }
+        }
+        return true
+    }
+    
+    func test() {
+        var a: [[Character]] = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]]
+        solveSudoku10(&a)
+        print(a)
+    }
+
+}
+
+
diff --git a/Week_07/ValidSudoku.swift b/Week_07/ValidSudoku.swift
new file mode 100644
index 00000000..8805ec3e
--- /dev/null
+++ b/Week_07/ValidSudoku.swift
@@ -0,0 +1,33 @@
+//
+//  ValidSudoku.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/21.
+//
+
+import Foundation
+
+class ValidSudoku {
+    //有效的数独
+    func isValidSudoku(_ board: [[Character]]) -> Bool {
+        var cols = [Set<Character>](repeating: [], count: 9)
+        var rows = [Set<Character>](repeating: [], count: 9)
+        var boxs = [Set<Character>](repeating: [], count: 9)
+        for i in 0..<9 {
+            for j in 0..<9 {
+                let char = board[i][j]
+                if char == "." {
+                    continue
+                }
+                let boxIndex = (i / 3) * 3 + j / 3
+                if rows[i].contains(char) || cols[j].contains(char) || boxs[boxIndex].contains(char) {
+                    return false
+                }
+                rows[i].insert(char)
+                cols[j].insert(char)
+                boxs[boxIndex].insert(char)
+            }
+        }
+        return true
+    }
+}

From 43be7c6518bda33cc1659beb9a52c9c7cbed088c Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 24 Jan 2021 22:03:25 +0800
Subject: [PATCH 33/51] =?UTF-8?q?=E7=AC=AC=E5=85=AB=E5=91=A8=E4=BB=A3?=
 =?UTF-8?q?=E7=A0=81?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_08/NQueens.swift           |  84 +++++++++++++++++++++
 Week_08/NumberOfOneBit.swift    |  33 ++++++++
 Week_08/PowerOfTwo.swift        |  27 +++++++
 Week_08/RelativeSortArray.swift |  46 +++++++++++
 Week_08/ReverseBits.swift       |  32 ++++++++
 Week_08/SolveSudoku.swift       | 130 ++++++++++++++++++++++++++++++++
 Week_08/ValidAnagram.swift      |  64 ++++++++++++++++
 Week_08/ValidSudoku.swift       |  33 ++++++++
 8 files changed, 449 insertions(+)
 create mode 100644 Week_08/NQueens.swift
 create mode 100644 Week_08/NumberOfOneBit.swift
 create mode 100644 Week_08/PowerOfTwo.swift
 create mode 100644 Week_08/RelativeSortArray.swift
 create mode 100644 Week_08/ReverseBits.swift
 create mode 100644 Week_08/SolveSudoku.swift
 create mode 100644 Week_08/ValidAnagram.swift
 create mode 100644 Week_08/ValidSudoku.swift

diff --git a/Week_08/NQueens.swift b/Week_08/NQueens.swift
new file mode 100644
index 00000000..6953b778
--- /dev/null
+++ b/Week_08/NQueens.swift
@@ -0,0 +1,84 @@
+//
+//  NQueens.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2020/12/23.
+//
+
+import Foundation
+
+class NQueens {
+    
+    func solveNQueens(_ n: Int) -> [[String]] {
+        var res = [[String]]()
+        var queens = [Int](repeating: -1, count: n)
+        var cols = Set<Int>(), dia1 = Set<Int>(), dia2 = Set<Int>()
+        func backtrack(_ row: Int) {
+            if row == n {
+                res.append(generateBoard(queens, n))
+                return
+            }
+            for i in 0..<n {
+                if cols.contains(i) {
+                    continue
+                }
+                let d1 = row - i
+                if dia1.contains(d1) {
+                    continue
+                }
+                let d2 = row + i
+                if dia2.contains(d2) {
+                    continue
+                }
+                queens[row] = i
+                cols.insert(i)
+                dia1.insert(d1)
+                dia2.insert(d2)
+                backtrack(row + 1)
+                queens[row] = -1
+                cols.remove(i)
+                dia1.remove(d1)
+                dia2.remove(d2)
+            }
+        }
+        backtrack(0)
+        return res
+    }
+    
+    func generateBoard(_ queens: [Int], _ n: Int) -> [String] {
+        var board = [String]()
+        for i in 0..<n {
+            var row = [Character](repeating: ".", count: n)
+            row[queens[i]] = "Q"
+            board.append(String(row))
+        }
+        return board
+    }
+    
+    func solveNQueens10(_ n: Int) -> [[String]] {
+        var res = [[String]]()
+        var queens = [Int](repeating: -1, count: n)
+        var colSet = Set<Int>(), diaSet1 = Set<Int>(), diaSet2 = Set<Int>()
+        backtrack(0, n, &queens, &colSet, &diaSet1, &diaSet2, &res)
+        return res
+    }
+    
+    func backtrack(_ row: Int, _ n: Int, _ queens: inout [Int], _ colSet: inout Set<Int>, _ diaSet1: inout Set<Int>, _ diaSet2: inout Set<Int>, _ res: inout [[String]]) {
+        if row == n {
+            res.append(generateBoard(queens, n))
+            return
+        }
+        for i in 0..<n {
+            if colSet.contains(i) { continue }
+            let dia1 = row - i
+            if diaSet1.contains(dia1) { continue }
+            let dia2 = row + i
+            if diaSet2.contains(dia2) { continue }
+            queens[row] = i
+            colSet.insert(i); diaSet1.insert(dia1); diaSet2.insert(dia2)
+            backtrack(row + 1, n, &queens, &colSet, &diaSet1, &diaSet2, &res)
+            queens[row] = -1
+            colSet.remove(i); diaSet2.remove(dia2); diaSet1.remove(dia1)
+        }
+    }
+}
diff --git a/Week_08/NumberOfOneBit.swift b/Week_08/NumberOfOneBit.swift
new file mode 100644
index 00000000..9698e5f6
--- /dev/null
+++ b/Week_08/NumberOfOneBit.swift
@@ -0,0 +1,33 @@
+//
+//  NumberOfOneBit.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/21.
+//
+
+import Foundation
+
+class NumberOfOneBit {
+    
+    //位一的个数
+    func hammingWeight(_ n: Int) -> Int {
+        var res = 0, n = n
+        while n != 0 {
+            n &= (n - 1)
+            res += 1
+        }
+        return res
+    }
+    
+    func hammingWeight10(_ n: Int) -> Int {
+        var count = 0, n = n
+        while n != 0 {
+            if n & 1 == 1{
+                count += 1
+            }
+            n >>= 1
+        }
+        return count
+    }
+    
+}
diff --git a/Week_08/PowerOfTwo.swift b/Week_08/PowerOfTwo.swift
new file mode 100644
index 00000000..af8f8172
--- /dev/null
+++ b/Week_08/PowerOfTwo.swift
@@ -0,0 +1,27 @@
+//
+//  PowerOfTwo.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/21.
+//
+
+import Foundation
+
+class PowerOfTwo {
+    
+    //2的幂, 如果一个数是2的幂, 则这个数的二进制只有一个位是1
+    
+    /*
+     n & (n - 1) 清除最低位的1, 如果结果等于0, 说明只有一位是1
+     */
+    func isPowerOfTwo(_ n: Int) -> Bool {
+        return n > 0 && n & (n - 1) == 0
+    }
+    
+    /*
+     n & (-n) 保留最小位的1, 如果结果等于n, 说明只有一位是1
+     */
+    func isPowerOfTwo10(_ n: Int) -> Bool {
+        return n > 0 && n & (-n) == n
+    }
+}
diff --git a/Week_08/RelativeSortArray.swift b/Week_08/RelativeSortArray.swift
new file mode 100644
index 00000000..589833f0
--- /dev/null
+++ b/Week_08/RelativeSortArray.swift
@@ -0,0 +1,46 @@
+//
+//  RelativeSortArray.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/24.
+//
+
+import Foundation
+
+/*数组的相对排序*/
+
+class RelativeSortArray {
+    
+    func relativeSortArray(_ arr1: [Int], _ arr2: [Int]) -> [Int] {
+        var dict = [Int: Int]()
+        for i in arr1 {
+            dict[i] = (dict[i] ?? 0) + 1
+        }
+        var res = [Int]()
+        for j in arr2 {
+            res.append(contentsOf: Array(repeating: j, count: dict[j]!))
+            dict[j] = nil
+        }
+        for (key, val) in dict.sorted(by: {$0.0 < $1.0}) {
+            res.append(contentsOf: Array(repeating: key, count: val))
+        }
+        return res
+    }
+
+    func relativeSortArray10(_ arr1: [Int], _ arr2: [Int]) -> [Int] {
+        var countArr = [Int](repeating: 0, count: 1001)
+        for i in arr1 {
+            countArr[i] += 1
+        }
+        var res = [Int]()
+        for j in arr2 {
+            res.append(contentsOf: Array(repeating: j, count: countArr[j]))
+            countArr[j] = 0
+        }
+        for (index, value) in countArr.enumerated() where value > 0 {
+            res.append(contentsOf: Array(repeating: index, count: value))
+        }
+        return res
+    }
+
+}
diff --git a/Week_08/ReverseBits.swift b/Week_08/ReverseBits.swift
new file mode 100644
index 00000000..ddccc6df
--- /dev/null
+++ b/Week_08/ReverseBits.swift
@@ -0,0 +1,32 @@
+//
+//  ReverseBits.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/21.
+//
+
+import Foundation
+
+class ReverseBits {
+    //颠倒二进制位
+    func reverseBits(_ n: Int) -> Int {
+        let n = UInt32(n)
+        var res = UInt32(0)
+        for i in 0..<32 {
+            let temp = (n >> i) & 1
+            res |= (temp << (31 - i))
+        }
+        return Int(res)
+    }
+    
+    //思路更清晰
+    func reverseBits10(_ n: Int) -> Int {
+        var n = UInt32(n), res = UInt32(0)
+        for _ in 0..<32 {
+            res <<= 1
+            res |= n & 1
+            n >>= 1
+        }
+        return Int(res)
+    }
+}
diff --git a/Week_08/SolveSudoku.swift b/Week_08/SolveSudoku.swift
new file mode 100644
index 00000000..1742c4fd
--- /dev/null
+++ b/Week_08/SolveSudoku.swift
@@ -0,0 +1,130 @@
+//
+//  SolveSudoku.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/20.
+//
+
+import Foundation
+
+class SolveSudoku {
+    
+    /*
+     第一种方式:
+     直接找出空格位置
+     对指定的空格和剩余的数字进行匹配
+     效率更高
+     */
+    
+    var rows = Array(repeating: Set("123456789"), count: 9)
+    var cols = Array(repeating: Set("123456789"), count: 9)
+    var blocks = Array(repeating: Set("123456789"), count: 9)
+    var spaces = [[Int]]()
+    func solveSudoku(_ board: inout [[Character]]) {
+        let m = board.count, n = board[0].count
+        for i in 0..<m {
+            for j in 0..<n {
+                if board[i][j] != "." {
+                    let val = board[i][j]
+                    rows[i].remove(val)
+                    cols[j].remove(val)
+                    blocks[getBlockIndex(i, j)].remove(val)
+                } else {
+                    spaces.append([i, j])
+                }
+            }
+        }
+        backtrack(0, &board)
+    }
+    
+    @discardableResult
+    func backtrack(_ iter: Int, _ board: inout [[Character]]) -> Bool {
+        if iter == spaces.count {
+            return true
+        }
+        let i = spaces[iter][0], j = spaces[iter][1], b = getBlockIndex(i, j)
+        //三个方向可以填入的值取交集, 放到temp
+        let temp = rows[i].intersection(cols[j]).intersection(blocks[b])
+        for val in temp {
+            rows[i].remove(val)
+            cols[j].remove(val)
+            blocks[b].remove(val)
+            board[i][j] = val
+            if backtrack(iter + 1, &board) {
+                return true
+            }
+            board[i][j] = "."
+            rows[i].insert(val)
+            cols[j].insert(val)
+            blocks[b].insert(val)
+        }
+        return false
+    }
+    
+    func getBlockIndex(_ i: Int, _ j: Int) -> Int {
+        return 3 * (i / 3) + j / 3
+    }
+    
+    /*
+     第二种方式:
+     相比第一种方案每次都从1~9尝试, 会有一些无用的尝试操作
+     */
+    func solveSudoku10(_ board: inout [[Character]]) {
+        guard board.count > 0, board[0].count > 0 else {
+            return
+        }
+        solve(&board)
+    }
+    
+    @discardableResult
+    func solve(_ board: inout [[Character]]) -> Bool {
+        for i in 0..<9 {
+            for j in 0..<9 {
+                if board[i][j] != "." {
+                    continue
+                }
+                //没有值
+                for c in "123456789" {
+                    if !isValid(board, i, j, c) {
+                        continue
+                    }
+                    //c是有效的, 设置值, 进行回溯
+                    board[i][j] = c
+                    if solve(&board) {
+                        return true
+                    }
+                    board[i][j] = "."
+                }
+                return false
+            }
+        }
+        return true
+    }
+    
+    func isValid(_ board: [[Character]], _ i: Int, _ j: Int, _ c: Character) -> Bool {
+        for k in 0..<9 {
+            if board[i][k] == c {
+                return false
+            }
+            if board[k][j] == c {
+                return false
+            }
+            if board[3 * (i / 3) + k / 3][3 * (j / 3) + k % 3] == c {
+                return false
+            }
+        }
+        return true
+    }
+    
+    
+    
+    func test() {
+        var a: [[Character]] = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]]
+        solveSudoku(&a)
+        print(a)
+    }
+
+    
+}
+
+
diff --git a/Week_08/ValidAnagram.swift b/Week_08/ValidAnagram.swift
new file mode 100644
index 00000000..b68db83c
--- /dev/null
+++ b/Week_08/ValidAnagram.swift
@@ -0,0 +1,64 @@
+//
+//  ValidAnagram.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class ValidAnagram {
+    /// 有效异位词
+    func isAnagram(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        if s.sorted() == t.sorted() {
+            return true
+        } else {
+            return false
+        }
+    }
+    
+    // 数组方式
+    func isAnagram01(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var arr = [Int](repeating: 0, count: 26)
+        let aCharUnicodeScalar = Int("a".unicodeScalars.first!.value)
+        for c in s.unicodeScalars {
+            arr[Int(c.value) - aCharUnicodeScalar] += 1
+        }
+        for c in t.unicodeScalars {
+            arr[Int(c.value) - aCharUnicodeScalar] -= 1
+        }
+        guard arr.first( where: {$0 != 0} ) == nil else {
+            return false
+        }
+        return true
+    }
+    
+    //字典方式
+    func isAnagram02(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var hashMap = [Character: Int]()
+        for c in s {
+            hashMap[c] = hashMap[c] ?? 0 + 1
+        }
+        for c in t {
+            if hashMap[c] == nil {
+                return false
+            }
+            hashMap[c]! -= 1
+            if hashMap[c]! < 0 {
+                return false
+            }
+        }
+        return true
+    }
+    
+    
+}
diff --git a/Week_08/ValidSudoku.swift b/Week_08/ValidSudoku.swift
new file mode 100644
index 00000000..8805ec3e
--- /dev/null
+++ b/Week_08/ValidSudoku.swift
@@ -0,0 +1,33 @@
+//
+//  ValidSudoku.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/21.
+//
+
+import Foundation
+
+class ValidSudoku {
+    //有效的数独
+    func isValidSudoku(_ board: [[Character]]) -> Bool {
+        var cols = [Set<Character>](repeating: [], count: 9)
+        var rows = [Set<Character>](repeating: [], count: 9)
+        var boxs = [Set<Character>](repeating: [], count: 9)
+        for i in 0..<9 {
+            for j in 0..<9 {
+                let char = board[i][j]
+                if char == "." {
+                    continue
+                }
+                let boxIndex = (i / 3) * 3 + j / 3
+                if rows[i].contains(char) || cols[j].contains(char) || boxs[boxIndex].contains(char) {
+                    return false
+                }
+                rows[i].insert(char)
+                cols[j].insert(char)
+                boxs[boxIndex].insert(char)
+            }
+        }
+        return true
+    }
+}

From 96e620dc3ad536ba4449695a068d0ac801543957 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 24 Jan 2021 22:29:33 +0800
Subject: [PATCH 34/51] =?UTF-8?q?=E4=BD=8D=E8=BF=90=E7=AE=97?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_08/README.md | 46 +++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 45 insertions(+), 1 deletion(-)

diff --git a/Week_08/README.md b/Week_08/README.md
index 50de3041..2fb6fa60 100644
--- a/Week_08/README.md
+++ b/Week_08/README.md
@@ -1 +1,45 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+
+这周学习了位运算，布隆过滤器，LRU Cache，排序算法，感觉这周内容还是挺多的，
+
+## 位运算
+
+#### 基本的位运算
+
+- 左移 >>  0011=>0110
+- 右移 <<  0110=>0011
+
+- 按位或 | 有一得一
+- 按位与 & 有零得零
+- 按位取反 ~ 一变零，零变一
+- 按位异或 ^ 不同得一，相同得零
+
+#### 异或常用操作
+
+* x ^ 0 = x
+* x ^ 1s = ~x  // 1s = ~0
+* x ^ (~x) = 1s
+* x ^ x = 0
+* c = a ^ b => a ^ c = b , b ^ c = a // 交换两个数
+* a ^ b ^ c = a ^ (b ^ c) = (a ^ b) ^ c // associative
+
+#### 指定位置的位运算
+
+1. 将x最右边的n位清零：x & (~0 << n)
+2. 获取x的第你位值（0或1）：(x >> n) & 1
+3. 获取x的第n位幂值： x & (1 << n)
+4. 仅将第n位置为1： x | (1 << n)
+5. 仅将第n位置为0： x & (~(1 << n))
+6. 将x的最高位到第n位清零： x & ((1 << n) - 1)
+
+#### 实战运算要点
+
+* 判断奇偶
+    * x % 2 == 1  =>  x & 1 == 1
+    * x % 2 == 0  =>  x & 1 == 0
+* x >> 1 => x / 2
+* x = x & (x - 1) //清零最低位的1
+* x & (-x) //得到最低位的1
+* x & ~x => 0
\ No newline at end of file

From 74171f07aec5ed8df68f87be1befcd5c040d7164 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 24 Jan 2021 22:50:31 +0800
Subject: [PATCH 35/51] Update README.md

---
 Week_08/README.md | 46 +++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 45 insertions(+), 1 deletion(-)

diff --git a/Week_08/README.md b/Week_08/README.md
index 2fb6fa60..d8a3d1be 100644
--- a/Week_08/README.md
+++ b/Week_08/README.md
@@ -42,4 +42,48 @@
 * x >> 1 => x / 2
 * x = x & (x - 1) //清零最低位的1
 * x & (-x) //得到最低位的1
-* x & ~x => 0
\ No newline at end of file
+* x & ~x => 0
+
+## 布隆过滤器 Bloom Filter
+
+#### 介绍
+
+* 作用：检索一个元素是否在一个集合中。
+* 优点：空间效率和查询时间都远远超出一般算法。
+* 缺点：有一定的误识别率和删除困难。
+
+#### 案例
+
+1. 比特币网络
+2. 分布式系统
+3. Redis缓存
+4. 垃圾邮件、评论过滤
+
+## LRU Cache
+
+least recently used 最近最少使用
+
+## 排序
+
+#### 比较类排序
+	
+- 交换排序
+	- 冒泡排序
+	- 快速排序
+- 插入排序
+	- 简单插入排序
+	- 希尔排序
+- 选择排序
+  	- 简单选择排序
+	- 堆排序
+- 归并排序
+	- 二路归并排序
+	- 多路归并排序
+
+#### 非比较类排序
+
+- 计数排序
+- 桶排序
+- 基数排序
+
+

From d63ad9c8f581c7e63892f88afc1966c51ebf79d3 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 24 Jan 2021 22:51:47 +0800
Subject: [PATCH 36/51] Update README.md

---
 Week_08/README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/Week_08/README.md b/Week_08/README.md
index d8a3d1be..a0f38943 100644
--- a/Week_08/README.md
+++ b/Week_08/README.md
@@ -2,7 +2,7 @@
 
 ## 总结
 
-这周学习了位运算，布隆过滤器，LRU Cache，排序算法，感觉这周内容还是挺多的，
+这周学习了位运算，布隆过滤器，LRU Cache，排序算法，感觉这周内容还是挺多的，排序的很多代码都没有完成，需要慢慢完善下。这周题目做的不多，还需要加油。
 
 ## 位运算
 

From 72b4ce1a9558f8bb1d1d34e8fceb61ce9c454492 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 24 Jan 2021 23:11:15 +0800
Subject: [PATCH 37/51] =?UTF-8?q?=E6=AF=94=E7=89=B9=E4=BD=8D=E8=AE=A1?=
 =?UTF-8?q?=E6=95=B0?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_08/CountingBits.swift | 28 ++++++++++++++++++++++++++++
 1 file changed, 28 insertions(+)
 create mode 100644 Week_08/CountingBits.swift

diff --git a/Week_08/CountingBits.swift b/Week_08/CountingBits.swift
new file mode 100644
index 00000000..00889cf6
--- /dev/null
+++ b/Week_08/CountingBits.swift
@@ -0,0 +1,28 @@
+//
+//  CountingBits.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/24.
+//
+
+import Foundation
+
+class CountingBits {
+    
+    func countBits(_ num: Int) -> [Int] {
+        var dp = [Int](repeating: 0, count: num + 1)
+        for i in 1..<num + 1 {
+            dp[i] = dp[i >> 1] + i & 1
+        }
+        return dp
+    }
+    
+    func countBits10(_ num: Int) -> [Int] {
+        var dp = [Int](repeating: 0, count: num + 1)
+        for i in 1..<num + 1 {
+            dp[i] = dp[i & (i - 1)] + 1
+        }
+        return dp
+    }
+    
+}

From b7c70a8d3ee9d8cb40e79af2292728b92e67de61 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 25 Jan 2021 12:03:56 +0800
Subject: [PATCH 38/51] =?UTF-8?q?=E9=83=A8=E5=88=86=E7=AE=80=E5=8D=95?=
 =?UTF-8?q?=E6=8E=92=E5=BA=8F=E4=BB=A3=E7=A0=81?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_08/README.md | 59 ++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 58 insertions(+), 1 deletion(-)

diff --git a/Week_08/README.md b/Week_08/README.md
index a0f38943..b4587160 100644
--- a/Week_08/README.md
+++ b/Week_08/README.md
@@ -86,4 +86,61 @@ least recently used 最近最少使用
 - 桶排序
 - 基数排序
 
-
+#### 简单排序的代码
+
+```
+/*
+ 插入排序：
+ 1. 从第一个元素开始，该元素可以认为已经被排序
+ 2. 取出下一个元素，在已经排序的元素序列中从后向前扫描
+ 3. 如果该元素（已排序）大于新元素，将该元素移到下一位置
+ 4. 重复步骤3，直到找到已排序的元素小于或者等于新元素的位置
+ 5. 将新元素插入到该位置中
+ 6. 重复步骤2
+ */
+func insertSort(_ arr: inout [Int]) {
+    for i in 1..<arr.count {
+        let key = arr[i]
+        var j = i - 1
+        while j >= 0 && arr[j] > key {
+            arr[j + 1] = arr[j]
+            j -= 1
+        }
+        arr[j + 1] = key
+    }
+}
+    
+/*
+ 选择排序：
+ 1. 遍历数组，找到最小的元素，将其置于数组起始位置。
+ 2. 从上次最小元素存放的后一个元素开始遍历至数组尾，将最小的元素置于开始处。
+ 3. 重复上述过程，直到元素排序完毕。
+ */
+func selectionSort(_ arr: inout [Int]) {
+    for i in 0..<arr.count {
+        var min = i
+        for j in i + 1..<arr.count {
+            if arr[j] < arr[min] {
+                min = j
+            }
+        }
+        arr.swapAt(i, min)
+    }
+}
+    
+/*
+ 冒泡排序：
+ 1. 比较相邻的元素。如果第一个比第二个大，就交换他们两个，直到把最大的元素放到数组尾部。
+ 2. 遍历长度减一，对剩下的元素从头重复以上的步骤。
+ 3. 直到没有任何一对数字需要比较时完成。
+ */
+func bubbleSort(_ arr: inout [Int]) {
+    for i in 0 ..< arr.count {
+        for j in 0 ..< arr.count - 1 - i {
+            if arr[j] > arr[j + 1] {
+                arr.swapAt(j, j + 1)
+            }
+        }
+    }
+}
+```
\ No newline at end of file

From dd92856b900f9195355533421e7df91753406cad Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Tue, 26 Jan 2021 19:25:47 +0800
Subject: [PATCH 39/51] =?UTF-8?q?=E6=8E=92=E5=BA=8F?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_08/Sort.swift | 200 +++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 200 insertions(+)
 create mode 100644 Week_08/Sort.swift

diff --git a/Week_08/Sort.swift b/Week_08/Sort.swift
new file mode 100644
index 00000000..98e5c72b
--- /dev/null
+++ b/Week_08/Sort.swift
@@ -0,0 +1,200 @@
+//
+//  Sort.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/25.
+//
+
+import Foundation
+
+class Sort {
+    
+    /*
+     插入排序：O(n^2) O(1) 稳定
+     1. 从第一个元素开始，该元素可以认为已经被排序
+     2. 取出下一个元素，在已经排序的元素序列中从后向前扫描
+     3. 如果该元素（已排序）大于新元素，将该元素移到下一位置
+     4. 重复步骤3，直到找到已排序的元素小于或者等于新元素的位置
+     5. 将新元素插入到该位置中
+     6. 重复步骤2
+     */
+    func insertSort(_ arr: inout [Int]) {
+        for i in 1..<arr.count {
+            let key = arr[i]
+            var j = i - 1
+            while j >= 0 && arr[j] > key {
+                arr[j + 1] = arr[j]
+                j -= 1
+            }
+            arr[j + 1] = key
+        }
+    }
+    
+    /*
+     选择排序：O(n^2) O(1) 不稳定
+     1. 遍历数组，找到最小的元素，将其置于数组起始位置。
+     2. 从上次最小元素存放的后一个元素开始遍历至数组尾，将最小的元素置于开始处。
+     3. 重复上述过程，直到元素排序完毕。
+     */
+    func selectionSort(_ arr: inout [Int]) {
+        for i in 0..<arr.count {
+            var min = i
+            for j in i + 1..<arr.count {
+                if arr[j] < arr[min] {
+                    min = j
+                }
+            }
+            arr.swapAt(i, min)
+        }
+    }
+    
+    /*
+     冒泡排序：O(n^2) O(1) 稳定
+     1. 比较相邻的元素。如果第一个比第二个大，就交换他们两个，直到把最大的元素放到数组尾部。
+     2. 遍历长度减一，对剩下的元素从头重复以上的步骤。
+     3. 直到没有任何一对数字需要比较时完成。
+     */
+    func bubbleSort(_ arr: inout [Int]) {
+        for i in 0 ..< arr.count {
+            for j in 0 ..< arr.count - 1 - i {
+                if arr[j] > arr[j + 1] {
+                    arr.swapAt(j, j + 1)
+                }
+            }
+        }
+    }
+    
+    
+    /*
+     归并排序: O(nlogn) O(n) 稳定
+     1. 申请空间，创建两个数组，长度分别为两个有序数组的长度
+     2. 设定两个指针，最初位置分别为两个已经排序序列的起始位置
+     3. 比较两个指针所指向的元素，选择相对小的元素放入到合并空间，并移动指针到下一位置
+     4. 重复步骤3直到某一指针达到序列尾
+     5. 将另一序列剩下的所有元素直接复制到合并序列尾
+     */
+    func mergeSort(_ arr: inout [Int]) {
+        mergeSortHelper(&arr, 0, arr.count - 1)
+    }
+    
+    func mergeSortHelper(_ arr: inout [Int], _ left: Int, _ right: Int) {
+        if left >= right {
+            return
+        }
+        let mid = (left + right) >> 1
+        mergeSortHelper(&arr, left, mid)
+        mergeSortHelper(&arr, mid + 1, right)
+        merge(&arr, left, mid, right)
+    }
+    
+    func merge(_ arr: inout [Int], _ left: Int, _ mid: Int, _ right: Int) {
+        var temp = [Int]()
+        var i = left, j = mid + 1
+        while i <= mid && j <= right {
+            if arr[i] <= arr[j] {
+                temp.append(arr[i])
+                i += 1
+            } else {
+                temp.append(arr[j])
+                j += 1
+            }
+        }
+        while i <= mid {
+            temp.append(arr[i])
+            i += 1
+        }
+        while j <= right {
+            temp.append(arr[j])
+            j += 1
+        }
+        for p in 0..<temp.count {
+            arr[left + p] = temp[p]
+        }
+    }
+    
+    
+    /*
+     快速排序：O(nlogn) O(nlogn) 不稳定
+     1. 从数列中挑出一个元素，称为 “基准”（pivot），
+     2. 重新排序数列，所有元素比基准值小的摆放在基准前面，所有元素比基准值大的摆在基准的后面（相同的数可以到任一边）。在这个分区退出之后，该基准就处于数列的中间位置。这个称为分区（partition）操作。
+     3. 递归地（recursive）把小于基准值元素的子数列和大于基准值元素的子数列排序。
+     */
+    func quickSort(_ arr: inout [Int]) {
+        quickSortHelper(&arr, 0, arr.count - 1)
+    }
+    
+    func quickSortHelper(_ arr: inout [Int], _ left: Int, _ right: Int) {
+        if left >= right {
+            return
+        }
+        let pivot = partition(&arr, left, right)
+        quickSortHelper(&arr, left, pivot - 1)
+        quickSortHelper(&arr, pivot + 1, right)
+    }
+    
+    func partition(_ arr: inout [Int], _ left: Int, _ right: Int) -> Int {
+        var pivot = right, counter = left
+        for i in left..<right {
+            if arr[i] < arr[pivot] {
+                arr.swapAt(i, counter)
+                counter += 1
+            }
+        }
+        arr.swapAt(pivot, counter)
+        return counter
+    }
+    
+    /*
+     堆排序: O(nlogn) O(1) 不稳定
+     1. 将初始待排序关键字序列(R1,R2….Rn)构建成大顶堆，此堆为初始的无序区；
+     2. 将堆顶元素R[1]与最后一个元素R[n]交换，此时得到新的无序区(R1,R2,……Rn-1)和新的有序区(Rn),且满足R[1,2…n-1]<=R[n]；
+     3. 由于交换后新的堆顶R[1]可能违反堆的性质，因此需要对当前无序区(R1,R2,……Rn-1)调整为新堆，然后再次将R[1]与无序区最后一个元素交换，得到新的无序区(R1,R2….Rn-2)和新的有序区(Rn-1,Rn)。不断重复此过程直到有序区的元素个数为n-1，则整个排序过程完成。
+
+     */
+    func heapSort(_ arr: inout [Int]) {
+        let n = arr.count - 1
+        buildHeap(&arr, n)
+        var k = n
+        while k > 0 {
+            arr.swapAt(0, k)
+            k -= 1
+            heapify(&arr, k, 0)
+        }
+    }
+    
+    func buildHeap(_ arr: inout [Int], _ n: Int) {
+        var i = n / 2
+        while i >= 0 {
+            heapify(&arr, n, i)
+            i -= 1
+        }
+    }
+    
+    func heapify(_ arr: inout [Int], _ n: Int, _ i: Int) {
+        var i = i
+        while true {
+            var maxPos = i
+            let left = i * 2 + 1
+            if left <= n && arr[left] > arr[maxPos] {
+                maxPos = left
+            }
+            let right = i * 2 + 2
+            if right <= n && arr[right] > arr[maxPos] {
+                maxPos = right
+            }
+            if maxPos == i {
+                break
+            }
+            arr.swapAt(maxPos, i)
+            i = maxPos
+        }
+    }
+    
+    
+    func test() {
+        var arr = [15,2,1,6,7,9,34,5]
+        heapSort(&arr)
+        print(arr)
+    }
+    
+}

From bd012c77d54060fcbceee1f9a5682afad30b79c2 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 21:29:37 +0800
Subject: [PATCH 40/51] =?UTF-8?q?=E7=AC=AC=E4=B9=9D=E5=91=A8=E6=80=BB?=
 =?UTF-8?q?=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/README.md | 26 +++++++++++++++++++++++++-
 1 file changed, 25 insertions(+), 1 deletion(-)

diff --git a/Week_09/README.md b/Week_09/README.md
index 50de3041..7fbb109f 100644
--- a/Week_09/README.md
+++ b/Week_09/README.md
@@ -1 +1,25 @@
-学习笔记
\ No newline at end of file
+# 学习笔记
+
+## 总结
+这时间过得好快，算法训练营就要结束了，算法训练营的学习帮助自己快速的了解了基本的数据结构和算法，自己后续仍需继续学习和刷题。算法训练营的学习相比自己的学习效率还是很高的，以往自己学习很难坚持下去，尤其遇到不懂的点，很容易丧失动力，导致拖延和放弃，算法训练营有老师带，有助教帮，还有班主任督促，同学们共同学习，进步很大。
+
+但是这段时间学习的东西比较多，自身还需要不断的消化才行，希望自己后面仍然可以继续坚持学习，慢慢熟练和消化算法训练营学习的知识。
+
+## 字符串
+
+字符串是比较基础的数据类型，和字符串相关的算法基础算法也是考核最多的算法。
+例如字符串的翻转，转小写等，字符串转整数一定要多练习，考核基本功的题目。
+
+### 经典问题
+- 字符串转整数
+- 字母异位词问题
+- 回文串问题
+- 和动态规划结合的问题
+    - 最长子串
+    - 子序列
+    - 编辑距离
+
+### 字符串匹配算法
+- 暴力匹配
+- Rabin-Karp算法
+- KMP算法
\ No newline at end of file

From 513d34c00d488c11c065217c79b4e552bdcf6344 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 21:30:20 +0800
Subject: [PATCH 41/51] =?UTF-8?q?=E7=AC=AC=E4=B9=9D=E5=91=A8=E4=BB=A3?=
 =?UTF-8?q?=E7=A0=81?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/FindAllAnagramsInAString.swift | 139 +++++++++++++++++++++++++
 Week_09/FirstUniqueChar.swift          |  89 ++++++++++++++++
 Week_09/GroupAnagrams.swift            |  28 +++++
 Week_09/JewelsAndStones.swift          |  32 ++++++
 Week_09/LengthOfLastWord.swift         |  43 ++++++++
 Week_09/LongestCommonPrefix.swift      |  39 +++++++
 Week_09/MinCostClimbingStairs.swift    |  51 +++++++++
 Week_09/ReverseOnlyLetters.swift       |  81 ++++++++++++++
 Week_09/ReverseString.swift            |  32 ++++++
 Week_09/ReverseStringII.swift          |  46 ++++++++
 Week_09/ReverseWordInString.swift      |  30 ++++++
 Week_09/ReverseWordInStringIII.swift   |  59 +++++++++++
 Week_09/ToLowerCase.swift              |  45 ++++++++
 Week_09/ValidAnagram.swift             |  64 ++++++++++++
 Week_09/ValidPalindrome.swift          |  65 ++++++++++++
 15 files changed, 843 insertions(+)
 create mode 100644 Week_09/FindAllAnagramsInAString.swift
 create mode 100644 Week_09/FirstUniqueChar.swift
 create mode 100644 Week_09/GroupAnagrams.swift
 create mode 100644 Week_09/JewelsAndStones.swift
 create mode 100644 Week_09/LengthOfLastWord.swift
 create mode 100644 Week_09/LongestCommonPrefix.swift
 create mode 100644 Week_09/MinCostClimbingStairs.swift
 create mode 100644 Week_09/ReverseOnlyLetters.swift
 create mode 100644 Week_09/ReverseString.swift
 create mode 100644 Week_09/ReverseStringII.swift
 create mode 100644 Week_09/ReverseWordInString.swift
 create mode 100644 Week_09/ReverseWordInStringIII.swift
 create mode 100644 Week_09/ToLowerCase.swift
 create mode 100644 Week_09/ValidAnagram.swift
 create mode 100644 Week_09/ValidPalindrome.swift

diff --git a/Week_09/FindAllAnagramsInAString.swift b/Week_09/FindAllAnagramsInAString.swift
new file mode 100644
index 00000000..9c280c81
--- /dev/null
+++ b/Week_09/FindAllAnagramsInAString.swift
@@ -0,0 +1,139 @@
+//
+//  FindAllAnagramsInAString.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/30.
+//
+
+import Foundation
+
+class FindAllAnagramsInAString {
+    
+    func findAnagrams(_ s: String, _ p: String) -> [Int] {
+        guard s.count >= p.count else {
+            return []
+        }
+        var pf = [Int](repeating: 0, count: 26)
+        for c in p.unicodeScalars {
+            pf[Int(c.value) - 97] += 1
+        }
+        let pCnt = p.count
+        var res = [Int](), s = Array(s)
+        var popLatter: Character? = nil
+        for i in 0...s.count - pCnt {
+            if s[i + pCnt - 1] == popLatter {
+                res.append(i)
+                popLatter = s[i]
+                continue
+            }
+            if isAnagrams(String(s[i..<i + pCnt]), pf) {
+                res.append(i)
+                popLatter = s[i]
+            }
+        }
+        return res
+    }
+    
+    func isAnagrams(_ s: String, _ pf: [Int]) -> Bool {
+        var pf = pf
+        for c in s.unicodeScalars {
+            pf[Int(c.value) - 97] -= 1
+            if pf[Int(c.value) - 97] < 0 {
+                return false
+            }
+        }
+        for i in pf {
+            if i != 0 {
+                return false
+            }
+        }
+        return true
+    }
+    
+    
+    
+    func findAnagrams10(_ s: String, _ p: String) -> [Int] {
+        
+        //滑动窗口的值,和p的值
+        var window = [Character: Int]()
+        var needs = [Character: Int]()
+        for char in p {
+            needs[char, default: 0] += 1
+        }
+        
+        let sArray = Array(s)
+        var left = 0, right = 0
+        var match = 0 //匹配上的字母数量
+        var res = [Int]()
+        
+        while right < sArray.count {
+            let rightChar = sArray[right]
+            right += 1
+            
+            if let needCharCount = needs[rightChar] {
+                window[rightChar, default: 0] += 1
+                if window[rightChar] == needCharCount {
+                    match += 1
+                }
+            } else {
+                continue
+            }
+            
+            while match == needs.count {
+                //匹配上的时候如果字符串长度等于P的长度,加入答案
+                if right - left == p.count {
+                    res.append(left)
+                }
+                //否者左边向前移动一位
+                let leftChar = sArray[left]
+                left += 1
+                //如果移出去的字符在P中
+                if let needCharCount = needs[leftChar] {
+                    //如果窗口值和P值相等,match记录减一
+                    if window[leftChar] == needCharCount {
+                        match -= 1
+                    }
+                    //窗口值减一
+                    window[leftChar]! -= 1
+                }
+            }
+        }
+        
+        return res
+    }
+    
+    
+    func findAnagrams20(_ s: String, _ p: String) -> [Int] {
+        let arrs = Array(s)
+        let arrp = Array(p)
+        let base = Character("a").asciiValue!
+        var window = Array(repeating: 0, count: 26)
+        var needs = Array(repeating: 0, count: 26)
+        var res = [Int]()
+        for c in arrp {
+            needs[Int(c.asciiValue! - base)] += 1
+        }
+        var left = 0, right = 0
+        while right < arrs.count {
+            let curR = Int(arrs[right].asciiValue! - base)
+            right += 1
+            window[curR] += 1
+            while window[curR] > needs[curR] {
+                let curL = Int(arrs[left].asciiValue! - base)
+                left += 1
+                window[curL] -= 1
+            }
+            if right - left == arrp.count {
+                res.append(left)
+            }
+        }
+        return res
+    }
+    
+
+    
+    
+    func test() {
+        print(findAnagrams20("cba", "abc"))
+    }
+}
diff --git a/Week_09/FirstUniqueChar.swift b/Week_09/FirstUniqueChar.swift
new file mode 100644
index 00000000..243570bf
--- /dev/null
+++ b/Week_09/FirstUniqueChar.swift
@@ -0,0 +1,89 @@
+//
+//  FirstUniqueChar.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/25.
+//
+
+import Foundation
+
+/*
+ 字符串中的第一个唯一字符
+ 给定一个字符串，找到它的第一个不重复的字符，并返回它的索引。如果不存在，则返回 -1。
+ 提示：你可以假定该字符串只包含小写字母。
+ */
+
+class FirstUniqueChar {
+    
+    func firstUniqChar(_ s: String) -> Int {
+        var dict = [Character: Int]()
+        for c in s {
+            dict[c] = (dict[c] ?? 0) + 1
+        }
+        for (i, v) in s.enumerated() {
+            if dict[v] == 1 {
+                return i
+            }
+        }
+        return -1
+    }
+    
+    func firstUniqChar10(_ s: String) -> Int {
+        var position = [Character: Int]()
+        for (i, v) in s.enumerated() {
+            position[v] = position[v] == nil ? i : -1
+        }
+        var first = s.count
+        for val in position.values {
+            if val != -1 && val < first {
+                first = val
+            }
+        }
+        return first == s.count ? -1 : first
+    }
+    
+    
+    func firstUniqChar30(_ s: String) -> Int {
+        var sa = [Int](repeating: 0, count: 26)
+        for c in s.unicodeScalars {
+            sa[Int(c.value) - 97] += 1
+        }
+        var i = 0
+        for c in s.unicodeScalars {
+            if sa[Int(c.value) - 97] == 1 {
+                return i
+            }
+            i += 1
+        }
+        return -1
+    }
+    
+    
+    //队列的方式
+    func firstUniqChar20(_ s: String) -> Int {
+        var position = [Character: Int]()
+        var queue = [Pair]()
+        for (i, v) in s.enumerated() {
+            if position[v] == nil {
+                position[v] = i
+                queue.append(Pair(v, i))
+            } else {
+                position[v] = -1
+                while !queue.isEmpty && position[queue.first!.char] == -1 {
+                    queue.removeFirst()
+                }
+            }
+        }
+        return queue.isEmpty ? -1 : queue.first!.pos
+    }
+    
+}
+
+class Pair {
+    public var char: Character
+    public var pos: Int
+    public init(_ char: Character,_ pos: Int) {
+        self.char = char
+        self.pos = pos
+    }
+}
diff --git a/Week_09/GroupAnagrams.swift b/Week_09/GroupAnagrams.swift
new file mode 100644
index 00000000..e6953e30
--- /dev/null
+++ b/Week_09/GroupAnagrams.swift
@@ -0,0 +1,28 @@
+//
+//  GroupAnagrams.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class GroupAnagrams {
+    
+    func groupAnagrams(_ strs: [String]) -> [[String]] {
+        var hashMap = [String: [String]]()
+        for str in strs {
+            let key = String(str.sorted())
+            if hashMap[key] == nil {
+                hashMap[key] = []
+            }
+            hashMap[key]!.append(str)
+        }
+        return Array(hashMap.values)
+    }
+    
+    func test(_ strs: [String]) {
+        let result = groupAnagrams(strs)
+        print(result)
+    }
+}
diff --git a/Week_09/JewelsAndStones.swift b/Week_09/JewelsAndStones.swift
new file mode 100644
index 00000000..71c9162a
--- /dev/null
+++ b/Week_09/JewelsAndStones.swift
@@ -0,0 +1,32 @@
+//
+//  JewelsAndStones.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/28.
+//
+
+import Foundation
+
+/*
+ 宝石和石头
+ 
+ 给定字符串J 代表石头中宝石的类型，和字符串 S代表你拥有的石头。 S 中每个字符代表了一种你拥有的石头的类型，你想知道你拥有的石头中有多少是宝石。
+ J 中的字母不重复，J 和 S中的所有字符都是字母。字母区分大小写，因此"a"和"A"是不同类型的石头。
+
+来源：力扣（LeetCode）
+链接：https://leetcode-cn.com/problems/jewels-and-stones
+著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class JewelsAndStones {
+    func numJewelsInStones(_ jewels: String, _ stones: String) -> Int {
+        let jSet = Set(jewels)
+        var cnt = 0
+        for c in stones {
+            if jSet.contains(c) {
+                cnt += 1
+            }
+        }
+        return cnt
+    }
+}
diff --git a/Week_09/LengthOfLastWord.swift b/Week_09/LengthOfLastWord.swift
new file mode 100644
index 00000000..ac879b92
--- /dev/null
+++ b/Week_09/LengthOfLastWord.swift
@@ -0,0 +1,43 @@
+//
+//  LengthOfLastWord.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/28.
+//
+
+import Foundation
+/*
+ 给定一个仅包含大小写字母和空格 ' ' 的字符串 s，返回其最后一个单词的长度。如果字符串从左向右滚动显示，那么最后一个单词就是最后出现的单词。
+
+ 如果不存在最后一个单词，请返回 0 。
+
+ 说明：一个单词是指仅由字母组成、不包含任何空格字符的 最大子字符串。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/length-of-last-word
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+class LengthOfLastWord {
+    
+    func lengthOfLastWord(_ s: String) -> Int {
+        let s = Array(s)
+        var count = 0, i = s.count
+        while i >= 0 {
+            if s[i] == " " && count != 0 {
+                break
+            } else if s[i] != " " {
+                count += 1
+            }
+            i -= 1
+        }
+        return count
+    }
+    
+    func lengthOfLastWord10(_ s: String) -> Int {
+        let arr = s.split(separator: " ")
+        if let last = arr.last {
+            return last.count
+        }
+        return 0
+    }
+}
diff --git a/Week_09/LongestCommonPrefix.swift b/Week_09/LongestCommonPrefix.swift
new file mode 100644
index 00000000..56d7913d
--- /dev/null
+++ b/Week_09/LongestCommonPrefix.swift
@@ -0,0 +1,39 @@
+//
+//  LongestCommonPrefix.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/29.
+//
+
+import Foundation
+
+/*
+ 编写一个函数来查找字符串数组中的最长公共前缀。
+
+ 如果不存在公共前缀，返回空字符串 ""。
+ 
+ 提示:
+ 0 <= strs.length <= 200
+ 0 <= strs[i].length <= 200
+ strs[i] 仅由小写英文字母组成
+ */
+
+class LongestCommonPrefix {
+    
+    func longestCommonPrefix(_ strs: [String]) -> String {
+        guard strs.count > 0 else {
+            return ""
+        }
+        let firstStr = Array(strs.first!)
+        for i in 0..<firstStr.count {
+            let c = firstStr[i]
+            for j in 1..<strs.count {
+                let str = Array(strs[j])
+                if str.count <= i || c != str[i] {
+                    return String(firstStr[0..<i])
+                }
+            }
+        }
+        return String(firstStr)
+    }
+}
diff --git a/Week_09/MinCostClimbingStairs.swift b/Week_09/MinCostClimbingStairs.swift
new file mode 100644
index 00000000..3d6d6325
--- /dev/null
+++ b/Week_09/MinCostClimbingStairs.swift
@@ -0,0 +1,51 @@
+//
+//  MinCostClimbingStairs.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/26.
+//
+
+import Foundation
+
+/*
+ 数组的每个下标作为一个阶梯，第 i 个阶梯对应着一个非负数的体力花费值 cost[i]（下标从 0 开始）。
+
+ 每当你爬上一个阶梯你都要花费对应的体力值，一旦支付了相应的体力值，你就可以选择向上爬一个阶梯或者爬两个阶梯。
+
+ 请你找出达到楼层顶部的最低花费。在开始时，你可以选择从下标为 0 或 1 的元素作为初始阶梯。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/min-cost-climbing-stairs
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class MinCostClimbingStairs {
+    
+    func minCostClimbingStairs(_ cost: [Int]) -> Int {
+        guard cost.count >= 2 else {
+            return 0
+        }
+        let n = cost.count
+        var pre = 0, cur = 0, temp = 0
+        for i in 2..<n + 1 {
+            temp = min(pre + cost[i - 2], cur + cost[i - 1])
+            pre = cur
+            cur = temp
+        }
+        return cur
+    }
+    
+    
+    func minCostClimbingStairs10(_ cost: [Int]) -> Int {
+        guard cost.count >= 2 else {
+            return 0
+        }
+        let n = cost.count
+        var dp = [Int](repeating: 0, count: n + 1)
+        dp[0] = 0; dp[1] = 0
+        for i in 2..<n + 1 {
+            dp[i] = min(dp[i - 1] + cost[i - 1], dp[i - 2] + cost[i - 2])
+        }
+        return dp[n]
+    }
+}
diff --git a/Week_09/ReverseOnlyLetters.swift b/Week_09/ReverseOnlyLetters.swift
new file mode 100644
index 00000000..0d6bb099
--- /dev/null
+++ b/Week_09/ReverseOnlyLetters.swift
@@ -0,0 +1,81 @@
+//
+//  ReverseOnlyLetters.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/30.
+//
+
+import Foundation
+
+/*
+ 给定一个字符串 S，返回 “反转后的” 字符串，其中不是字母的字符都保留在原地，而所有字母的位置发生反转。
+
+ 示例 1：
+
+ 输入："ab-cd"
+ 输出："dc-ba"
+
+ 示例 2：
+
+ 输入："a-bC-dEf-ghIj"
+ 输出："j-Ih-gfE-dCba"
+
+ 示例 3：
+
+ 输入："Test1ng-Leet=code-Q!"
+ 输出："Qedo1ct-eeLg=ntse-T!"
+
+ 提示：
+
+     S.length <= 100
+     33 <= S[i].ASCIIcode <= 122
+     S 中不包含 \ or "
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/reverse-only-letters
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+
+class ReverseOnlyLetters {
+    
+    func reverseOnlyLetters(_ S: String) -> String {
+        var S = Array(S)
+        var left = 0, right = S.count - 1
+        while left < right {
+            if !S[left].isLetter {
+                left += 1
+                continue
+            }
+            if !S[right].isLetter {
+                right -= 1
+                continue
+            }
+            S.swapAt(left, right)
+            left += 1
+            right -= 1
+        }
+        return String(S)
+    }
+    
+    func reverseOnlyLetters10(_ S: String) -> String {
+        var stack = [Character](), ans = ""
+        for c in S {
+            if c.isLetter {
+                stack.append(c)
+            }
+        }
+        for c in S {
+            if c.isLetter {
+                ans.append(stack.popLast()!)
+            } else {
+                ans.append(c)
+            }
+        }
+        return ans
+    }
+    
+    func test() {
+        print(reverseOnlyLetters("123456789"))
+    }
+}
diff --git a/Week_09/ReverseString.swift b/Week_09/ReverseString.swift
new file mode 100644
index 00000000..b62e99ca
--- /dev/null
+++ b/Week_09/ReverseString.swift
@@ -0,0 +1,32 @@
+//
+//  ReverseString.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/29.
+//
+
+import Foundation
+
+/*
+ 编写一个函数，其作用是将输入的字符串反转过来。输入字符串以字符数组 char[] 的形式给出。
+
+ 不要给另外的数组分配额外的空间，你必须原地修改输入数组、使用 O(1) 的额外空间解决这一问题。
+
+ 你可以假设数组中的所有字符都是 ASCII 码表中的可打印字符。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/reverse-string
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class ReverseString {
+    func reverseString(_ s: inout [Character]) {
+        if s.count <= 1 { return }
+        var left = 0, right = s.count - 1
+        while left < right {
+            s.swapAt(left, right)
+            left += 1
+            right -= 1
+        }
+    }
+}
diff --git a/Week_09/ReverseStringII.swift b/Week_09/ReverseStringII.swift
new file mode 100644
index 00000000..8632ac52
--- /dev/null
+++ b/Week_09/ReverseStringII.swift
@@ -0,0 +1,46 @@
+//
+//  ReverseStringII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/30.
+//
+
+import Foundation
+
+/*
+ 541. 反转字符串 II
+ 给定一个字符串 s 和一个整数 k，你需要对从字符串开头算起的每隔 2k 个字符的前 k 个字符进行反转。
+
+     如果剩余字符少于 k 个，则将剩余字符全部反转。
+     如果剩余字符小于 2k 但大于或等于 k 个，则反转前 k 个字符，其余字符保持原样。
+ 
+ 提示：
+
+     该字符串只包含小写英文字母。
+     给定字符串的长度和 k 在 [1, 10000] 范围内。
+
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/reverse-string-ii
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class ReverseStringII {
+    func reverseStr(_ s: String, _ k: Int) -> String {
+        var s = Array(s)
+        for i in stride(from: 0, to: s.count, by: 2 * k) {
+            let right = (i + k - 1 > s.count - 1) ? (s.count - 1) : (i + k - 1)
+            reverseString(&s, i, right)
+        }
+        return String(s)
+    }
+
+    func reverseString(_ s: inout [Character], _ left: Int, _ right: Int) {
+        var left = left, right = right
+        while left < right {
+            s.swapAt(left, right)
+            left += 1
+            right -= 1
+        }
+    }
+}
diff --git a/Week_09/ReverseWordInString.swift b/Week_09/ReverseWordInString.swift
new file mode 100644
index 00000000..c9aec269
--- /dev/null
+++ b/Week_09/ReverseWordInString.swift
@@ -0,0 +1,30 @@
+//
+//  ReverseWordInString.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/30.
+//
+
+import Foundation
+
+/*
+ 给定一个字符串，逐个翻转字符串中的每个单词。
+
+ 说明：
+
+     无空格字符构成一个 单词 。
+     输入字符串可以在前面或者后面包含多余的空格，但是反转后的字符不能包括。
+     如果两个单词间有多余的空格，将反转后单词间的空格减少到只含一个。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/reverse-words-in-a-string
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class ReverseWordInString {
+    func reverseWords(_ s: String) -> String {
+        var arr = s.split(separator: " ")
+        arr.reverse()
+        return arr.joined(separator: " ")
+    }
+}
diff --git a/Week_09/ReverseWordInStringIII.swift b/Week_09/ReverseWordInStringIII.swift
new file mode 100644
index 00000000..78654796
--- /dev/null
+++ b/Week_09/ReverseWordInStringIII.swift
@@ -0,0 +1,59 @@
+//
+//  ReverseWordInStringIII.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/30.
+//
+
+import Foundation
+
+/*
+ 给定一个字符串，你需要反转字符串中每个单词的字符顺序，同时仍保留空格和单词的初始顺序。
+
+  
+
+ 示例：
+
+ 输入："Let's take LeetCode contest"
+ 输出："s'teL ekat edoCteeL tsetnoc"
+
+  
+
+ 提示：
+
+     在字符串中，每个单词由单个空格分隔，并且字符串中不会有任何额外的空格。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/reverse-words-in-a-string-iii
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+
+class ReverseWordInStringIII {
+    
+    func reverseWords(_ s: String) -> String {
+        var s = Array(s)
+        let n = s.count
+        var i = 0
+        while i < n {
+            var start = i
+            while i < n && s[i] != " " {
+                i += 1
+            }
+            var end = i - 1
+            while start < end {
+                s.swapAt(start, end)
+                start += 1
+                end -= 1
+            }
+            while i < n && s[i] == " " {
+                i += 1
+            }
+        }
+        return String(s)
+    }
+    
+    func reverseWords10(_ s: String) -> String {
+        return String(s.split(separator: " ").map( { $0.reversed() }).joined(separator: " "))
+    }
+}
diff --git a/Week_09/ToLowerCase.swift b/Week_09/ToLowerCase.swift
new file mode 100644
index 00000000..ab9c3639
--- /dev/null
+++ b/Week_09/ToLowerCase.swift
@@ -0,0 +1,45 @@
+//
+//  ToLowerCase.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/27.
+//
+
+import Foundation
+
+/*
+ 实现函数 ToLowerCase()，该函数接收一个字符串参数 str，并将该字符串中的大写字母转换成小写字母，之后返回新的字符串。
+ */
+
+class ToLowerCase {
+    
+    func toLowerCase(_ str: String) -> String {
+        guard str.count > 0 else {
+            return str
+        }
+        var res = Array(str)
+        for c in str {
+            var i = c.asciiValue!
+            i |= 32
+            res.append(Character(UnicodeScalar(i)))
+        }
+        return String(res)
+    }
+    
+    func toLowerCase10(_ str: String) -> String {
+        return String(str.map { Character(UnicodeScalar($0.asciiValue! | 32)) })
+    }
+
+    func toLowerCase20(_ str: String) -> String {
+        return str.lowercased()
+    }
+    
+    func toLowerCase30(_ str: String) -> String {
+        var cArr = [Character]()
+        for c in str.unicodeScalars {
+            cArr.append(Character(UnicodeScalar(c.value | 32)!))
+        }
+        return String(cArr)
+    }
+    
+}
diff --git a/Week_09/ValidAnagram.swift b/Week_09/ValidAnagram.swift
new file mode 100644
index 00000000..b68db83c
--- /dev/null
+++ b/Week_09/ValidAnagram.swift
@@ -0,0 +1,64 @@
+//
+//  ValidAnagram.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2020/12/12.
+//
+
+import Foundation
+
+class ValidAnagram {
+    /// 有效异位词
+    func isAnagram(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        if s.sorted() == t.sorted() {
+            return true
+        } else {
+            return false
+        }
+    }
+    
+    // 数组方式
+    func isAnagram01(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var arr = [Int](repeating: 0, count: 26)
+        let aCharUnicodeScalar = Int("a".unicodeScalars.first!.value)
+        for c in s.unicodeScalars {
+            arr[Int(c.value) - aCharUnicodeScalar] += 1
+        }
+        for c in t.unicodeScalars {
+            arr[Int(c.value) - aCharUnicodeScalar] -= 1
+        }
+        guard arr.first( where: {$0 != 0} ) == nil else {
+            return false
+        }
+        return true
+    }
+    
+    //字典方式
+    func isAnagram02(_ s: String, _ t: String) -> Bool {
+        guard s.count == t.count else {
+            return false
+        }
+        var hashMap = [Character: Int]()
+        for c in s {
+            hashMap[c] = hashMap[c] ?? 0 + 1
+        }
+        for c in t {
+            if hashMap[c] == nil {
+                return false
+            }
+            hashMap[c]! -= 1
+            if hashMap[c]! < 0 {
+                return false
+            }
+        }
+        return true
+    }
+    
+    
+}
diff --git a/Week_09/ValidPalindrome.swift b/Week_09/ValidPalindrome.swift
new file mode 100644
index 00000000..802e6276
--- /dev/null
+++ b/Week_09/ValidPalindrome.swift
@@ -0,0 +1,65 @@
+//
+//  ValidPalindrome.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/1/31.
+//
+
+import Foundation
+
+/*
+ 给定一个字符串，验证它是否是回文串，只考虑字母和数字字符，可以忽略字母的大小写。
+
+ 说明：本题中，我们将空字符串定义为有效的回文串。
+
+ 示例 1:
+
+ 输入: "A man, a plan, a canal: Panama"
+ 输出: true
+
+ 示例 2:
+
+ 输入: "race a car"
+ 输出: false
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/valid-palindrome
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class ValidPalindrome {
+    func isPalindrome(_ s: String) -> Bool {
+        let lowS = s.lowercased()
+        var sArr = [Character]()
+        for c in lowS {
+            if c.isLetter || c.isNumber {
+                sArr.append(c)
+            }
+        }
+        var left = 0, right = sArr.count - 1
+        while left < right {
+            if sArr[left] != sArr[right] {
+                return false
+            }
+            left += 1
+            right -= 1
+        }
+        return true
+    }
+    
+    func isPalindrome10(_ s: String) -> Bool {
+        let lowS = s.lowercased()
+        var sArr = ""
+        for c in lowS {
+            if c.isLetter || c.isNumber {
+                sArr.append(c)
+            }
+        }
+        let reverseLowS = sArr.reversed()
+        return sArr == String(reverseLowS)
+    }
+    
+    func test() {
+        print(isPalindrome10("A man, a plan, a canal: Panama"))
+    }
+}

From 2a6d8d8be59cb9e00c515edb380503877198afdc Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 21:42:07 +0800
Subject: [PATCH 42/51] =?UTF-8?q?=E4=B8=8D=E5=90=8C=E8=B7=AF=E5=BE=842?=
 =?UTF-8?q?=E7=8A=B6=E6=80=81=E8=BD=AC=E7=A7=BB=E6=96=B9=E7=A8=8B?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/README.md | 11 ++++++++++-
 1 file changed, 10 insertions(+), 1 deletion(-)

diff --git a/Week_09/README.md b/Week_09/README.md
index 7fbb109f..776ed52d 100644
--- a/Week_09/README.md
+++ b/Week_09/README.md
@@ -22,4 +22,13 @@
 ### 字符串匹配算法
 - 暴力匹配
 - Rabin-Karp算法
-- KMP算法
\ No newline at end of file
+- KMP算法
+
+
+### 不同路径2
+
+状态转移方程
+
+f(i, j) = 0 , ob[i, j] == 0
+
+f(i, j) = f(i - 1, j) + f(i, j - 1) , ob[i, j] != 0
\ No newline at end of file

From 118281e15e7082dbc106c58f03b00cdd255a173d Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 22:13:38 +0800
Subject: [PATCH 43/51] =?UTF-8?q?=E8=A7=A3=E7=A0=81=E6=96=B9=E6=B3=95?=
 =?UTF-8?q?=E5=92=8C=E6=9C=80=E9=95=BF=E5=85=AC=E5=85=B1=E5=AD=90=E5=BA=8F?=
 =?UTF-8?q?=E5=88=97?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/DecodeWays.swift               | 37 ++++++++++++++++++++++++++
 Week_09/LongestCommonSubsequence.swift | 33 +++++++++++++++++++++++
 2 files changed, 70 insertions(+)
 create mode 100644 Week_09/DecodeWays.swift
 create mode 100644 Week_09/LongestCommonSubsequence.swift

diff --git a/Week_09/DecodeWays.swift b/Week_09/DecodeWays.swift
new file mode 100644
index 00000000..b61059bb
--- /dev/null
+++ b/Week_09/DecodeWays.swift
@@ -0,0 +1,37 @@
+//
+//  DecodeWays.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/10.
+//
+
+import Foundation
+
+class DecodeWays {
+    
+    func numDecodings(_ s: String) -> Int {
+        let s = Array(s)
+        var pre = 1, cur = 1
+        if s[0] == "0" { return 0 }
+        for i in 1..<s.count {
+            let b = cur
+            if s[i] == "0" {
+                if "12".contains(s[i - 1]) {
+                    cur = pre
+                } else {
+                    cur = 0
+                }
+            } else if s[i - 1] == "1" || s[i - 1] == "2" && "123456".contains(s[i]) {
+                cur += pre
+            }
+            pre = b
+        }
+        return cur
+    }
+    
+    
+    func test() {
+        print(numDecodings("1201234"))
+    }
+    
+}
diff --git a/Week_09/LongestCommonSubsequence.swift b/Week_09/LongestCommonSubsequence.swift
new file mode 100644
index 00000000..2e993815
--- /dev/null
+++ b/Week_09/LongestCommonSubsequence.swift
@@ -0,0 +1,33 @@
+//
+//  LongestCommonSubsequence.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/1.
+//
+
+import Foundation
+
+class LongestCommonSubsequence {
+    //最长公共子序列
+    func longestCommonSubsequence(_ text1: String, _ text2: String) -> Int {
+        guard text1.count > 0, text2.count > 0 else {
+            return 0
+        }
+        let n1 = text1.count, n2 = text2.count
+        var dp = [[Int]](repeating: [Int](repeating: 0, count: n2 + 1), count: n1 + 1)
+        let charArr1 = Array(text1), charArr2 = Array(text2)
+        for i in 1..<n1 + 1 {
+            for j in 1..<n2 + 1 {
+                //如果相等对角线加一,如果不等上左最大值
+                if charArr1[i - 1] == charArr2[j - 1] {
+                    dp[i][j] = dp[i - 1][j - 1] + 1
+                } else {
+                    dp[i][j] = max(dp[i - 1][j], dp[i][j - 1])
+                }
+            }
+        }
+        return dp[n1][n2]
+    }
+    
+    
+}

From 6b071ff19541f0ba1c41e1841286518807901155 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 22:31:56 +0800
Subject: [PATCH 44/51] =?UTF-8?q?=E5=90=8C=E6=9E=84=E5=AD=97=E7=AC=A6?=
 =?UTF-8?q?=E4=B8=B2?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/IsomorphicStrings.swift | 61 +++++++++++++++++++++++++++++++++
 1 file changed, 61 insertions(+)
 create mode 100644 Week_09/IsomorphicStrings.swift

diff --git a/Week_09/IsomorphicStrings.swift b/Week_09/IsomorphicStrings.swift
new file mode 100644
index 00000000..2c87f575
--- /dev/null
+++ b/Week_09/IsomorphicStrings.swift
@@ -0,0 +1,61 @@
+//
+//  IsomorphicStrings.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/31.
+//
+
+import Foundation
+
+/*
+ 给定两个字符串 s 和 t，判断它们是否是同构的。
+
+ 如果 s 中的字符可以按某种映射关系替换得到 t ，那么这两个字符串是同构的。
+
+ 每个出现的字符都应当映射到另一个字符，同时不改变字符的顺序。不同字符不能映射到同一个字符上，相同字符只能映射到同一个字符上，字符可以映射到自己本身。
+
+  
+
+ 示例 1:
+
+ 输入：s = "egg", t = "add"
+ 输出：true
+
+ 示例 2：
+
+ 输入：s = "foo", t = "bar"
+ 输出：false
+
+ 示例 3：
+
+ 输入：s = "paper", t = "title"
+ 输出：true
+
+  
+
+ 提示：
+
+     可以假设 s 和 t 长度相同。
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/isomorphic-strings
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class Solution {
+    func isIsomorphic(_ s: String, _ t: String) -> Bool {
+        var s2t = [Character: Character]()
+        var t2s = [Character: Character]()
+        let s = Array(s), t = Array(t)
+        for i in 0..<s.count {
+            let x = s[i]
+            let y = t[i]
+            if s2t[x] != nil && s2t[x] != y || t2s[y] != nil && t2s[y] != x {
+                return false
+            }
+            s2t[x] = y
+            t2s[y] = x
+        }
+        return true
+    }
+}

From 2a22ff45ec2683368812a7a012a4b02704d4c201 Mon Sep 17 00:00:00 2001
From: DovYoung <1591759055@qq.com>
Date: Sun, 31 Jan 2021 23:00:14 +0800
Subject: [PATCH 45/51] =?UTF-8?q?=E6=9C=80=E9=95=BF=E4=B8=8A=E5=8D=87?=
 =?UTF-8?q?=E5=AD=90=E5=BA=8F=E5=88=97?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/LengthOfLIS.swift | 90 +++++++++++++++++++++++++++++++++++++++
 1 file changed, 90 insertions(+)
 create mode 100644 Week_09/LengthOfLIS.swift

diff --git a/Week_09/LengthOfLIS.swift b/Week_09/LengthOfLIS.swift
new file mode 100644
index 00000000..0bfe56b5
--- /dev/null
+++ b/Week_09/LengthOfLIS.swift
@@ -0,0 +1,90 @@
+//
+//  LengthOfLIS.swift
+//  LeetCodeDemo
+//
+//  Created by Yangdongwu on 2021/1/31.
+//
+
+import Foundation
+/*
+ 给你一个整数数组 nums ，找到其中最长严格递增子序列的长度。
+
+ 子序列是由数组派生而来的序列，删除（或不删除）数组中的元素而不改变其余元素的顺序。例如，[3,6,2,7] 是数组 [0,3,1,6,2,2,7] 的子序列。
+  
+
+ 示例 1：
+
+ 输入：nums = [10,9,2,5,3,7,101,18]
+ 输出：4
+ 解释：最长递增子序列是 [2,3,7,101]，因此长度为 4 。
+
+ 示例 2：
+
+ 输入：nums = [0,1,0,3,2,3]
+ 输出：4
+
+ 示例 3：
+
+ 输入：nums = [7,7,7,7,7,7,7]
+ 输出：1
+
+  
+
+ 提示：
+
+     1 <= nums.length <= 2500
+     -104 <= nums[i] <= 104
+
+  
+
+ 进阶：
+
+     你可以设计时间复杂度为 O(n2) 的解决方案吗？
+     你能将算法的时间复杂度降低到 O(n log(n)) 吗?
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/longest-increasing-subsequence
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class LengthOfLIS {
+    
+    func lengthOfLIS(_ nums: [Int]) -> Int {
+        var tails = [Int](repeating: 0, count: nums.count)
+        var res = 0
+        for num in nums {
+            var i = 0, j = res
+            while i < j {
+                let m = (i + j) >> 1
+                if tails[m] < num {
+                    i = m + 1
+                } else {
+                    j = m
+                }
+            }
+            tails[i] = num
+            if res == j {
+                res += 1
+            }
+        }
+        return res
+    }
+    
+    func lengthOfLIS10(_ nums: [Int]) -> Int {
+        guard nums.count > 0 else {
+            return 0
+        }
+        let n = nums.count
+        var dp = [Int](repeating: 1, count: n)
+        var ans = 1
+        for i in 0..<nums.count {
+            for j in 0..<i {
+                if nums[i] > nums[j] {
+                    dp[i] = max(dp[i], dp[j] + 1)
+                }
+            }
+            ans = max(ans, dp[i])
+        }
+        return ans
+    }
+}

From 5b71302c5a67d58d4243689d81ea0db99e1ea886 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 1 Feb 2021 11:50:01 +0800
Subject: [PATCH 46/51] =?UTF-8?q?=E6=9C=80=E9=95=BF=E5=9B=9E=E6=96=87?=
 =?UTF-8?q?=E5=AD=90=E4=B8=B2?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Week_09/LongestPalindromic.swift | 70 ++++++++++++++++++++++++++++++++
 1 file changed, 70 insertions(+)
 create mode 100644 Week_09/LongestPalindromic.swift

diff --git a/Week_09/LongestPalindromic.swift b/Week_09/LongestPalindromic.swift
new file mode 100644
index 00000000..e28bd430
--- /dev/null
+++ b/Week_09/LongestPalindromic.swift
@@ -0,0 +1,70 @@
+//
+//  LongestPalindromic.swift
+//  LeetCodeDemo
+//
+//  Created by Apple on 2021/2/1.
+//
+
+import Foundation
+
+/*
+ 给你一个字符串 s，找到 s 中最长的回文子串。
+ 示例 1：
+ 输入：s = "babad"
+ 输出："bab"
+ 解释："aba" 同样是符合题意的答案。
+
+ 示例 2：
+ 输入：s = "cbbd"
+ 输出："bb"
+
+ 示例 3：
+
+ 输入：s = "a"
+ 输出："a"
+
+ 示例 4：
+
+ 输入：s = "ac"
+ 输出："a"
+
+ 提示：
+
+     1 <= s.length <= 1000
+     s 仅由数字和英文字母（大写和/或小写）组成
+
+ 来源：力扣（LeetCode）
+ 链接：https://leetcode-cn.com/problems/longest-palindromic-substring
+ 著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。
+ */
+
+class LongestPalindromic {
+    
+    //中心扩展法
+    func longestPalindrome10(_ s: String) -> String {
+        guard s.count > 1 else {
+            return s
+        }
+        let s = Array(s)
+        var start = 0, end = 0
+        for i in 0..<s.count {
+            let len1 = expandAroundCenter(s, i, i)
+            let len2 = expandAroundCenter(s, i, i + 1)
+            let len = max(len1, len2)
+            if len > end - start {
+                start = i - (len - 1) / 2
+                end = i + len / 2
+            }
+        }
+        return String(s[start..<end + 1])
+    }
+    
+    func expandAroundCenter(_ s: [Character], _ left: Int, _ right: Int) -> Int {
+        var l = left, r = right
+        while l >= 0 && l < s.count && r < s.count && r < s.count && s[l] == s[r] {
+            l -= 1
+            r += 1
+        }
+        return r - l - 1
+    }
+}

From 531a2bd3986b287e1de62b28e65cd879dd913707 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Mon, 1 Feb 2021 15:08:52 +0800
Subject: [PATCH 47/51] Update LongestPalindromic.swift

---
 Week_09/LongestPalindromic.swift | 61 ++++++++++++++++++++++++++++++++
 1 file changed, 61 insertions(+)

diff --git a/Week_09/LongestPalindromic.swift b/Week_09/LongestPalindromic.swift
index e28bd430..fdbd72ab 100644
--- a/Week_09/LongestPalindromic.swift
+++ b/Week_09/LongestPalindromic.swift
@@ -40,6 +40,63 @@ import Foundation
 
 class LongestPalindromic {
     
+    //动态规划(超时)
+    func longestPalindrome(_ s: String) -> String {
+        guard s.count > 1 else {
+            return s
+        }
+        let n = s.count
+        var dp = [[Bool]](repeating: [Bool](repeating: false, count: n), count: n)
+        var res = "", s = Array(s)
+        for i in (0..<n).reversed() {
+            for j in i..<n {
+                // 两边相等且长度小于等于3
+                // 两边相等且子串是回文串
+                dp[i][j] = s[i] == s[j] && (j - i < 3 || dp[i + 1][j - 1])
+                // 求最长子串
+                if dp[i][j] && j - i + 1 > res.count {
+                    res = String(s[i..<j + 1])
+                }
+            }
+        }
+        return res
+    }
+    
+    //动态规划
+    func longestPalindrome20(_ s: String) -> String {
+        guard s.count > 1 else {
+            return s
+        }
+        let n = s.count
+        var dp = [[Bool]](repeating: [Bool](repeating: false, count: n), count: n)
+        var maxLengh = 1, begin = 0, s = Array(s)
+        //中间赋值,空串
+        for i in 0..<n {
+            dp[i][i] = true
+        }
+        for j in 1..<n {
+            for i in 0..<j {
+                if s[i] != s[j] {
+                    //如果两边不等,不是回文串
+                    dp[i][j] = false
+                } else if j - i < 3 {
+                    //两边相等,且字符数小于等于3,是回文
+                    dp[i][j] = true
+                } else {
+                    //两边相等字符大于三,子串是就是,子串不是就不是
+                    dp[i][j] = dp[i + 1][j - 1]
+                }
+                //求所有是回文串的时候的最大长度
+                if dp[i][j] && j - i + 1 > maxLengh {
+                    maxLengh = j - i + 1
+                    begin = i
+                }
+                
+            }
+        }
+        return String(s[begin..<begin + maxLengh])
+    }
+    
     //中心扩展法
     func longestPalindrome10(_ s: String) -> String {
         guard s.count > 1 else {
@@ -67,4 +124,8 @@ class LongestPalindromic {
         }
         return r - l - 1
     }
+    
+    func test() {
+        print(longestPalindrome("aaaaaa"))
+    }
 }

From 17ece31fae663e2d0b880fe4942f644bb165eeac Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Sun, 7 Feb 2021 09:27:35 +0800
Subject: [PATCH 48/51] =?UTF-8?q?=E6=AF=95=E4=B8=9A=E6=80=BB=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../README.md"                                      | 13 ++++++++++++-
 1 file changed, 12 insertions(+), 1 deletion(-)

diff --git "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
index 50de3041..03bc0c2e 100644
--- "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
+++ "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
@@ -1 +1,12 @@
-学习笔记
\ No newline at end of file
+# 毕业总结
+
+## 初衷
+我是一名非计算机专业毕业的iOS开发工程师，深知自身基础知识的薄弱，遂开始学习数据结构和算法，身边的同事有的鼓励我，也有的说学习算法平时工作用不上，但是数据结构和算法是一门计算机基础课程，精通算法是每一名优秀开发者的基本素养，我想成为一名合格的开发者，我要学习算法。
+## 学习
+开始自学时买了书《大话数据结构》，也用微信读书看电子书《算法图解》，但是在学习的过程中总是很难坚持下去，最终的结果就是过了几个月依然停留在几种简单的数据结构学习，无法继续下去，自己的信心也受到了很大的打击。
+在这种情况下，我能怎么改变现状呢，我一度陷入了迷茫，因为平时有用极客时间学习iOS课程，2020年11月30号的晚上，在看了超哥的直播后，又刚好赶上算法训练营开班招生，便毅然决然的报名了。
+## 开始
+开始还有些害怕自己跟不上大家的节奏，但是经过了几周的学习后，发现自己的担心是多余的，自己在不断的学习中有了很大的进步，算法训练营的学习既系统又高效，覃超老师不光教会我们各种算法知识，还教会我们学习方法，就像指路的明灯，让我们在学习中克服眼前的困难，披荆斩棘，不断前行。
+## 结束并不是终点
+现在算法训练营接近尾声了，我们马上也就要毕业了，算法训练营的学习要结束了，但是在算法学习道路上我们才刚刚开始，希望在以后的工作学习中，我能够不忘初心，坚持学习，坚持刷题，让做题成为一种习惯，让自己的力扣主页能够如一片草地，生机昂然。
+

From 73789413d90812e4df10b8809cb4442bac93546c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Sun, 7 Feb 2021 10:44:52 +0800
Subject: [PATCH 49/51] =?UTF-8?q?=E6=AF=95=E4=B8=9A=E6=80=BB=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../README.md"                                | 20 ++++++++++++++++++-
 1 file changed, 19 insertions(+), 1 deletion(-)

diff --git "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
index 03bc0c2e..207b224d 100644
--- "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
+++ "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
@@ -2,11 +2,29 @@
 
 ## 初衷
 我是一名非计算机专业毕业的iOS开发工程师，深知自身基础知识的薄弱，遂开始学习数据结构和算法，身边的同事有的鼓励我，也有的说学习算法平时工作用不上，但是数据结构和算法是一门计算机基础课程，精通算法是每一名优秀开发者的基本素养，我想成为一名合格的开发者，我要学习算法。
+
 ## 学习
 开始自学时买了书《大话数据结构》，也用微信读书看电子书《算法图解》，但是在学习的过程中总是很难坚持下去，最终的结果就是过了几个月依然停留在几种简单的数据结构学习，无法继续下去，自己的信心也受到了很大的打击。
 在这种情况下，我能怎么改变现状呢，我一度陷入了迷茫，因为平时有用极客时间学习iOS课程，2020年11月30号的晚上，在看了超哥的直播后，又刚好赶上算法训练营开班招生，便毅然决然的报名了。
+
 ## 开始
 开始还有些害怕自己跟不上大家的节奏，但是经过了几周的学习后，发现自己的担心是多余的，自己在不断的学习中有了很大的进步，算法训练营的学习既系统又高效，覃超老师不光教会我们各种算法知识，还教会我们学习方法，就像指路的明灯，让我们在学习中克服眼前的困难，披荆斩棘，不断前行。
+
 ## 结束并不是终点
-现在算法训练营接近尾声了，我们马上也就要毕业了，算法训练营的学习要结束了，但是在算法学习道路上我们才刚刚开始，希望在以后的工作学习中，我能够不忘初心，坚持学习，坚持刷题，让做题成为一种习惯，让自己的力扣主页能够如一片草地，生机昂然。
+现在算法训练营接近尾声了，我们马上也就要毕业了，算法训练营的学习要结束了，但是在算法学习道路上我们才刚刚开始，希望在以后的工作学习中，能够不忘初心，坚持学习，坚持刷题，让做题成为一种习惯，让自己的力扣主页能够如一片草地，生机昂然。
+
+## 心得体会
+自从我开始学习算法以来就不乏言之无用者，我是一名iOS开发者，现在就职于一家租车公司，负责iOS客户APP的开发，平时工作对数据结构和算法使用不多。现如今大多数人做什么事情必定是有其明确的目的，在眼前看不到收益的情况下很难坚持做一件事情，尤其是一件没那么简单的事情。拿到大厂offer成为了大多数人学习算法的最初驱动力，当然这无可厚非，就像高中的时候我们努力学习就是为了考上心仪的大学一样。
+
+我也希望能到大厂工作，但是这并不是学习的最终目的，《论语》有言，
+> 子曰：“学而时习之，不亦说乎？有朋自远方来，不亦乐乎？人不知而不愠，不亦君子乎？”
+
+让学习成为一种习惯，“学而时习之”，这才是学习的真谛。
+
+
+算法是计算机基础知识，类比于武侠小说，数据结构和算法就像是基本功法，也是后续学习高级功法的基础，一座楼的高度是由地基决定的，一个人的高度就是由基本功决定的。
+
+参加算法训练营，有良师指导，助教解惑，还有优秀的同学一起进步，更有班主任的时刻督促，这十周的学习真可谓是受益匪浅，感谢有你们的陪伴。
+
+
 

From 97ed34bb1fa86fe2e52be645d7b47338c7209fa3 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Sun, 7 Feb 2021 10:56:03 +0800
Subject: [PATCH 50/51] =?UTF-8?q?=E6=9B=B4=E6=96=B0=E6=AF=95=E4=B8=9A?=
 =?UTF-8?q?=E6=80=BB=E7=BB=93?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../README.md"                                       | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
index 207b224d..4cda3b09 100644
--- "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
+++ "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
@@ -1,20 +1,20 @@
 # 毕业总结
 
 ## 初衷
-我是一名非计算机专业毕业的iOS开发工程师，深知自身基础知识的薄弱，遂开始学习数据结构和算法，身边的同事有的鼓励我，也有的说学习算法平时工作用不上，但是数据结构和算法是一门计算机基础课程，精通算法是每一名优秀开发者的基本素养，我想成为一名合格的开发者，我要学习算法。
+我是一名非计算机专业毕业的开发者，深知自身基础知识的薄弱，遂开始学习数据结构和算法，身边的同事有的鼓励我，也有的说学习算法平时工作用不上，但是数据结构和算法是一门计算机基础课程，精通算法是每一名优秀开发者的基本素养，我想成为一名合格的开发者，我要学习算法。
 
-## 学习
+## 学习的困惑
 开始自学时买了书《大话数据结构》，也用微信读书看电子书《算法图解》，但是在学习的过程中总是很难坚持下去，最终的结果就是过了几个月依然停留在几种简单的数据结构学习，无法继续下去，自己的信心也受到了很大的打击。
-在这种情况下，我能怎么改变现状呢，我一度陷入了迷茫，因为平时有用极客时间学习iOS课程，2020年11月30号的晚上，在看了超哥的直播后，又刚好赶上算法训练营开班招生，便毅然决然的报名了。
+在这种情况下，我能怎么改变现状呢，一度陷入了迷茫，因为平时有用极客时间学习iOS课程，2020年11月30号的晚上，在看了超哥的直播后，又刚好赶上算法训练营开班招生，便毅然决然的报名了。
 
 ## 开始
 开始还有些害怕自己跟不上大家的节奏，但是经过了几周的学习后，发现自己的担心是多余的，自己在不断的学习中有了很大的进步，算法训练营的学习既系统又高效，覃超老师不光教会我们各种算法知识，还教会我们学习方法，就像指路的明灯，让我们在学习中克服眼前的困难，披荆斩棘，不断前行。
 
 ## 结束并不是终点
-现在算法训练营接近尾声了，我们马上也就要毕业了，算法训练营的学习要结束了，但是在算法学习道路上我们才刚刚开始，希望在以后的工作学习中，能够不忘初心，坚持学习，坚持刷题，让做题成为一种习惯，让自己的力扣主页能够如一片草地，生机昂然。
+现在算法训练营接近尾声了，我们马上也就要毕业了，算法训练营毕业了，但是在算法的学习才刚刚开始，希望在以后的工作学习中，能够不忘初心，坚持学习，坚持刷题，让做题成为一种习惯，让算法在脑海中根深蒂固。
 
 ## 心得体会
-自从我开始学习算法以来就不乏言之无用者，我是一名iOS开发者，现在就职于一家租车公司，负责iOS客户APP的开发，平时工作对数据结构和算法使用不多。现如今大多数人做什么事情必定是有其明确的目的，在眼前看不到收益的情况下很难坚持做一件事情，尤其是一件没那么简单的事情。拿到大厂offer成为了大多数人学习算法的最初驱动力，当然这无可厚非，就像高中的时候我们努力学习就是为了考上心仪的大学一样。
+自从我开始学习算法以来就不乏言之无用者，我是一名iOS开发者，现在就职于一家租车公司，负责iOS客户APP的开发，平时工作对数据结构和算法使用不多。现如今大多数人做什么事情必定是有其明确的目的，在眼前看不到收益的情况下很难坚持做一件事情，更何况学习算法并不是一件简单的事情。在这种情况下，拿到大厂offer成为了大多数人学习算法的最初驱动力，当然这无可厚非，就像高中的时候我们努力学习就是为了考上心仪的大学一样。
 
 我也希望能到大厂工作，但是这并不是学习的最终目的，《论语》有言，
 > 子曰：“学而时习之，不亦说乎？有朋自远方来，不亦乐乎？人不知而不愠，不亦君子乎？”
@@ -22,7 +22,7 @@
 让学习成为一种习惯，“学而时习之”，这才是学习的真谛。
 
 
-算法是计算机基础知识，类比于武侠小说，数据结构和算法就像是基本功法，也是后续学习高级功法的基础，一座楼的高度是由地基决定的，一个人的高度就是由基本功决定的。
+算法是计算机基础知识，类比于武侠小说，数据结构和算法就像是基本功法，也是后续学习高级功法的基础，一座楼的高度是由地基决定的，一个人的高度就是由基本功决定的，学习算法意义重大。
 
 参加算法训练营，有良师指导，助教解惑，还有优秀的同学一起进步，更有班主任的时刻督促，这十周的学习真可谓是受益匪浅，感谢有你们的陪伴。
 

From ef465019ab375ab714f323f96400a1a45a9b4854 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E6=9D=A8=E5=86=AC=E6=AD=A6?=
 <coderYDW@users.noreply.github.com>
Date: Sun, 7 Feb 2021 10:57:13 +0800
Subject: [PATCH 51/51] =?UTF-8?q?=E6=9B=B4=E6=96=B0=E6=AF=95=E4=B8=9A?=
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MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../README.md"                                                  | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
index 4cda3b09..8616b97d 100644
--- "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
+++ "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md"
@@ -3,7 +3,7 @@
 ## 初衷
 我是一名非计算机专业毕业的开发者，深知自身基础知识的薄弱，遂开始学习数据结构和算法，身边的同事有的鼓励我，也有的说学习算法平时工作用不上，但是数据结构和算法是一门计算机基础课程，精通算法是每一名优秀开发者的基本素养，我想成为一名合格的开发者，我要学习算法。
 
-## 学习的困惑
+## 困惑
 开始自学时买了书《大话数据结构》，也用微信读书看电子书《算法图解》，但是在学习的过程中总是很难坚持下去，最终的结果就是过了几个月依然停留在几种简单的数据结构学习，无法继续下去，自己的信心也受到了很大的打击。
 在这种情况下，我能怎么改变现状呢，一度陷入了迷茫，因为平时有用极客时间学习iOS课程，2020年11月30号的晚上，在看了超哥的直播后，又刚好赶上算法训练营开班招生，便毅然决然的报名了。