diff --git a/src/leo/class01/BSAwesome.java b/src/leo/class01/BSAwesome.java
index 053eefc..4bf6e8f 100644
--- a/src/leo/class01/BSAwesome.java
+++ b/src/leo/class01/BSAwesome.java
@@ -68,6 +68,14 @@ public class BSAwesome {
         return -1;
     }
 
+    /**
+     * 功能描述 : 重头遍历
+     * @author Leo
+     * @date 2020/11/14 4:14 下午
+     * @param arr
+     * @throw
+     * @return int
+     */
     public static int testBSAwesome(int[] arr) {
         if (arr.length == 0 || arr == null) {
             return -1;
@@ -98,6 +106,32 @@ public class BSAwesome {
     }
 
 
+    public static int BSAwesome2(int[] arr) {
+        if (arr.length == 0 || arr == null) {
+            return -1;
+        }
+        if (arr.length == 1||arr[0] < arr[1]) {
+            return 0;
+        }
+        if (arr[arr.length-1] < arr[arr.length-2]) {
+            return arr.length - 1;
+        }
+        int L = 0;
+        int R = arr.length - 1;
+        int mid = 0;
+        while (L <= R) {
+            mid = L + ((R - L) >> 1);
+            if (arr[mid] > arr[mid + 1]) {
+                L = mid + 1;
+            } else if (arr[mid] > arr[mid - 1]) {
+                R = mid - 1;
+            }else {
+                return mid;
+            }
+        }
+        return -1;
+
+    }
 
 
 
@@ -138,7 +172,7 @@ public class BSAwesome {
         boolean succeed = true;
         for (int i = 0; i < testTime; i++) {
             int[] arr = ArrayUtil.randomAdjacentNotEqualArray(maxSize, range);
-            final int index = BSAwesome1(arr);
+            final int index = BSAwesome2(arr);
             final int verifyIndex = verifyBSAwesome(arr,index);
             if (index != verifyIndex) {
                 succeed = false;
diff --git a/src/leo/class01/BSExist.java b/src/leo/class01/BSExist.java
index ecad36d..01fcf01 100644
--- a/src/leo/class01/BSExist.java
+++ b/src/leo/class01/BSExist.java
@@ -14,7 +14,7 @@ import java.util.Arrays;
 public class BSExist {
 
     /**
-     * 功能描述 : 二分查找某数是否存在
+     * 功能描述 : 在有序数组中,二分查找某数是否存在
      * @author Leo
      * @date 2020/11/12 10:36 上午
      * @param arr 有序数组
@@ -87,6 +87,28 @@ public class BSExist {
     }
 
 
+    public static boolean exist4(int[] arr, int value) {
+        if (arr.length == 0 || arr == null) {
+            return false;
+        }
+        int L = 0;
+        int R = arr.length - 1;
+        int mid = 0;
+
+        while (L < R) {
+            mid = L + ((R - L) >> 1);
+            if (arr[mid] > value) {
+                R = mid - 1;
+            } else if (arr[mid] < value) {
+                L = mid - 1;
+            }else{
+                return true;
+            }
+        }
+        return arr[L] == value;
+    }
+
+
     /**
      * 功能描述 : test
      * @author Leo
@@ -109,13 +131,13 @@ public class BSExist {
 
         int maxSize = 50;
         int range = 500;
-        int testTime  = 10;
+        int testTime  = 1000;
         boolean succeed = true;
         for (int i = 0; i < testTime; i++) {
             int[] sortArr = ArrayUtil.randomSortArray(maxSize, range);
             int value = (int) ((range + 1) * Math.random() - (range + 1) * Math.random());
 
-            if (exist3(sortArr, value) != exist(sortArr, value)) {
+            if (exist4(sortArr, value) != exist(sortArr, value)) {
                 succeed = false;
                 ArrayUtil.printArr(sortArr);
                 break;
diff --git a/src/leo/class01/BSNear.java b/src/leo/class01/BSNear.java
index 98f49b3..5bb7cee 100644
--- a/src/leo/class01/BSNear.java
+++ b/src/leo/class01/BSNear.java
@@ -84,6 +84,26 @@ public class BSNear {
     }
 
 
+    public static int BSNearLeft4(int[] arr, int value) {
+        if (arr.length == 0 || arr == null) {
+            return -1;
+        }
+        int L = 0;
+        int R = arr.length - 1;
+        int mid = 0;
+        int index = -1;
+        while (L <= R) {
+            mid = L + ((R - L) >> 1);
+            if (arr[mid] >= value) {
+                index = mid;
+                R = mid - 1;
+            }else{
+                L = mid + 1;
+            }
+        }
+        return index;
+    }
+
 
     /**
      * 功能描述 : 在有序数组中找出>=某个数最左侧的位置(for test)
@@ -160,6 +180,28 @@ public class BSNear {
         return index;
     }
 
+
+    public static int BSNearRight3(int[] arr, int value) {
+        if (arr.length == 0 || arr == null) {
+            return -1;
+        }
+
+        int L = 0;
+        int R = arr.length - 1;
+        int index = -1;
+        int mid = 0;
+        while (L <= 2) {
+            mid = L + ((R - L) >> 1);
+            if (arr[mid] <= value) {
+                index = mid;
+                L = mid + 1;
+            }else {
+                R = mid - 1;
+            }
+        }
+        return index;
+    }
+
     public static int forTestBSNearRight(int[] arr, int value) {
         int index = -1;
         if (arr == null || arr.length == 0) {
@@ -182,7 +224,7 @@ public class BSNear {
         for (int i = 0; i < testTime; i++) {
             int[] sortArr = ArrayUtil.randomSortArray(maxSize, range);
             int value = (int) ((range + 1) * Math.random() - (range + 1) * Math.random());
-            /*final int res1 = BSNearLeft3(sortArr, value);
+            final int res1 = BSNearLeft4(sortArr, value);
             final int res2 = forTestBSNearLeft(sortArr, value);
             if (res1 != res2) {
                 success = false;
@@ -190,8 +232,8 @@ public class BSNear {
                 System.out.println("BSNearLeft=" + res1);
                 System.out.println("forTestBSNearLeft=" + res2);
                 break;
-            }*/
-            final int res3 = BSNearRight(sortArr, value);
+            }
+            /*final int res3 = BSNearRight(sortArr, value);
             final int res4 = forTestBSNearRight(sortArr, value);
             if (res3 != res4) {
                 success = false;
@@ -199,7 +241,7 @@ public class BSNear {
                 System.out.println("BSNearRight=" + res3);
                 System.out.println("forTestBSNearRight=" + res4);
                 break;
-            }
+            }*/
         }
         System.out.println(success ? "Nice!!" : "Fucking Fucked!");
     }
diff --git a/src/leo/class01/BubbleSort.java b/src/leo/class01/BubbleSort.java
index 30caf0f..dddb215 100644
--- a/src/leo/class01/BubbleSort.java
+++ b/src/leo/class01/BubbleSort.java
@@ -14,6 +14,7 @@ public class BubbleSort {
 
     /**
      * 功能描述 : 冒泡算法 O(n²)
+     * 将最大的数放到后面
      * @author Leo
      * @date 2020/11/11 10:09 下午
      * @param arr
@@ -60,7 +61,34 @@ public class BubbleSort {
         }
     }
 
-    public static void bubbleSort4(int[] arr) {
+    public static void bubbleSort4(int[] arr)  {
+        if (arr.length < 2 || arr == null) {
+            return;
+        }
+        for (int i = arr.length - 1; i > 0; i--) {
+            for (int j = 0; j < i; j++) {
+                if (arr[j] > arr[j + 1]) {
+                    swap(arr, j, j + 1);
+                }
+            }
+        }
+    }
+
+    public static void bubbleSort5(int[] arr){
+        if (arr.length < 2 || arr == null) {
+            return;
+        }
+        for (int i = arr.length - 1; i > 0; i--) {
+            for (int j = 0; j < i; j++) {
+                if (arr[j] > arr[j + 1]) {
+                    swap(arr, j, j + 1);
+                }
+            }
+        }
+    }
+
+
+    public static void bubbleSort6(int[] arr) {
         if (arr.length < 2 || arr == null) {
             return;
         }
@@ -103,7 +131,7 @@ public class BubbleSort {
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            bubbleSort4(arr);
+            bubbleSort6(arr);
             Arrays.sort(anotherArr);
             if (!ArrayUtil.isEqual(arr, anotherArr)) {
                 succeed = false;
diff --git a/src/leo/class01/EvenTimesOddTimes.java b/src/leo/class01/EvenTimesOddTimes.java
new file mode 100644
index 0000000..96e1569
--- /dev/null
+++ b/src/leo/class01/EvenTimesOddTimes.java
@@ -0,0 +1,77 @@
+package leo.class01;
+
+/**
+ * @author Leo
+ * @ClassName EvenTimesOddTimes
+ * @DATE 2020/11/13 3:34 下午
+ * @Description
+ */
+public class EvenTimesOddTimes {
+
+    /**
+     * 功能描述 : 取出唯一一个出现奇数次的数字
+     * @author Leo
+     * @date 2020/11/13 4:28 下午
+     * @param arr
+     * @throw
+     * @return void
+     */
+    public static void printOdd(int[] arr) {
+        int eor = 0;
+        for (int i = 0; i < arr.length; i++) {
+            eor ^= arr[i];
+        }
+        System.out.println(eor);
+    }
+
+    public static void printOdd1(int[] arr) {
+        int eor = 0;
+        for (int i = 0; i < arr.length; i++) {
+            eor ^= arr[i];
+        }
+        System.out.println(eor);
+    }
+
+
+    /**
+     * 功能描述 : 有两种数出现了奇数次,找出他
+     * @author Leo
+     * @date 2020/11/14 4:21 下午
+     * @param arr
+     * @throw
+     * @return void
+     */
+    public static void printOddTwo(int[] arr) {
+        int eor = 0;
+        for (int i = 0; i < arr.length; i++) {
+            eor ^= arr[i];
+        }
+        int rightOnly = eor & (-eor);
+
+        int eorOther = 0;
+        for (int i = 0; i < arr.length; i++) {
+            if ((rightOnly & arr[i]) != 0) {
+                eorOther ^= arr[i];
+            }
+        }
+        System.out.println(eorOther + "  " + (eor ^ eorOther));
+    }
+
+    public static void printOddTwo2(int[] arr) {
+        int eor = 0;
+        for (int i = 0; i < arr.length; i++) {
+            eor ^= arr[i];
+        }
+        int rightOne = eor & (-eor);
+
+        int eorOther = 0;
+        for (int i = 0; i < arr.length; i++) {
+            if ((rightOne & arr[i]) != 0) {
+                eorOther ^= arr[i];
+            }
+        }
+        System.out.println(eorOther + "  " + (eor ^ eorOther));
+
+    }
+
+}
diff --git a/src/leo/class01/InsertionSort.java b/src/leo/class01/InsertionSort.java
index ed91e3e..9814034 100644
--- a/src/leo/class01/InsertionSort.java
+++ b/src/leo/class01/InsertionSort.java
@@ -66,6 +66,29 @@ public class InsertionSort {
         }
     }
 
+    public static void insertionSort4(int[] arr) {
+        if (arr.length < 2 || arr == null) {
+            return;
+        }
+        for (int i = 1; i < arr.length; i++) {
+            for (int j = i-1; j >= 0 && arr[j] > arr[j + 1]; j--) {
+                swap(arr, j, j+1);
+
+            }
+        }
+    }
+
+
+    public static void insertionSort5(int[] arr){
+        if (arr == null || arr.length < 0) {
+            return;
+        }
+        for (int i = 1; i < arr.length; i++) {
+            for (int j = i - 1; j >= 0 && arr[j] > arr[j + 1]; j--) {
+                swap(arr, j, j + 1);
+            }
+        }
+    }
 
     private static void swap(int[] arr, int i, int j) {
         if (arr == null
@@ -86,12 +109,12 @@ public class InsertionSort {
     public static void main(String[] args){
         int maxSize = 50;
         int range = 80;
-        int testOfTime = 100000;
+        int testOfTime = 1000;
         boolean succeed = true;
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            insertionSort3(arr);
+            insertionSort5(arr);
             Arrays.sort(anotherArr);
             if (!ArrayUtil.isEqual(arr, anotherArr)) {
                 succeed = false;
diff --git a/src/leo/class01/SelectionSort.java b/src/leo/class01/SelectionSort.java
index 2b2819e..bb196e2 100644
--- a/src/leo/class01/SelectionSort.java
+++ b/src/leo/class01/SelectionSort.java
@@ -95,6 +95,33 @@ public class SelectionSort {
     }
 
 
+    public static void selectionSort6(int[] arr) {
+        if (arr == null || arr.length == 0) {
+            return;
+        }
+        for (int i = 0; i < arr.length - 1; i++) {
+            for (int j = i + 1; j < arr.length; j++) {
+                if (arr[i] > arr[j]) {
+                    swap(arr, i, j);
+                }
+            }
+        }
+    }
+
+
+    public static void selectionSort7(int[] arr) {
+        if (arr == null || arr.length == 0) {
+            return;
+        }
+        for (int i = 0; i < arr.length - 1; i++) {
+            for (int j = i + 1; j < arr.length; j++) {
+                if (arr[i] > arr[j]) {
+                    swap(arr, i, j);
+                }
+            }
+        }
+    }
+
 
     /**
      * 功能描述 : 交换
@@ -121,12 +148,12 @@ public class SelectionSort {
     public static void main(String[] args){
         int maxSize = 100;
         int range = 50;
-        int testOfTime = 20;
+        int testOfTime = 1000;
         boolean succeed = true;
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            selectionSort5(arr);
+            selectionSort7(arr);
             Arrays.sort(anotherArr);
             if (!ArrayUtil.isEqual(arr, anotherArr)) {
                 succeed = false;