diff --git a/src/leo/class01/BSAwesome.java b/src/leo/class01/BSAwesome.java
index eaa42ee..642ed1c 100644
--- a/src/leo/class01/BSAwesome.java
+++ b/src/leo/class01/BSAwesome.java
@@ -216,6 +216,33 @@ public class BSAwesome {
         return -1;
     }
 
+
+    public static int BSAwesome6(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;
+    }
+
     public static int verifyBSAwesome(int[] arr, int index) {
         if (arr.length == 0 || index == -1) {
             return -1;
@@ -253,7 +280,7 @@ public class BSAwesome {
         boolean succeed = true;
         for (int i = 0; i < testTime; i++) {
             int[] arr = ArrayUtil.randomAdjacentNotEqualArray(maxSize, range);
-            final int index = BSAwesome5(arr);
+            final int index = BSAwesome6(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 ad061c5..ba4b7cf 100644
--- a/src/leo/class01/BSExist.java
+++ b/src/leo/class01/BSExist.java
@@ -3,6 +3,7 @@ package leo.class01;
 
 import leo.util.ArrayUtil;
 
+import javax.swing.plaf.TreeUI;
 import java.util.Arrays;
 
 /**
@@ -172,6 +173,26 @@ public class BSExist {
         return arr[L] == value;
     }
 
+    public static boolean exist8(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
@@ -200,7 +221,7 @@ public class BSExist {
             int[] sortArr = ArrayUtil.randomSortArray(maxSize, range);
             int value = (int) ((range + 1) * Math.random() - (range + 1) * Math.random());
 
-            if (exist7(sortArr, value) != exist(sortArr, value)) {
+            if (exist8(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 11a110d..5208d6d 100644
--- a/src/leo/class01/BSNear.java
+++ b/src/leo/class01/BSNear.java
@@ -189,6 +189,26 @@ public class BSNear {
         return index;
     }
 
+    public static int BSNearLeft9(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)
      * @author Leo
@@ -349,6 +369,28 @@ public class BSNear {
         return index;
     }
 
+    public static int BSNearRight7(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;
+                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) {
@@ -371,7 +413,7 @@ public class BSNear {
         for (int i = 0; i < testTime; i++) {
             int[] sortArr = randomArray(maxSize, range);
             int value = (int) ((range + 1) * Math.random() - (range + 1) * Math.random());
-            final int res1 = BSNearLeft8(sortArr, value);
+            /*final int res1 = BSNearLeft9(sortArr, value);
             final int res2 = forTestBSNearLeft(sortArr, value);
             if (res1 != res2) {
                 success = false;
@@ -379,8 +421,8 @@ public class BSNear {
                 System.out.println("BSNearLeft=" + res1);
                 System.out.println("forTestBSNearLeft=" + res2);
                 break;
-            }
-            /*final int res3 = BSNearRight6(sortArr, value);
+            }*/
+            final int res3 = BSNearRight7(sortArr, value);
             final int res4 = forTestBSNearRight(sortArr, value);
             if (res3 != res4) {
                 success = false;
@@ -388,7 +430,7 @@ 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 a068b2c..f2cebd7 100644
--- a/src/leo/class01/BubbleSort.java
+++ b/src/leo/class01/BubbleSort.java
@@ -154,6 +154,18 @@ public class BubbleSort {
         }
     }
 
+    public static void bubbleSort11(int[] arr) {
+        if (arr.length == 0 || 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);
+                }
+            }
+        }
+    }
 
 
 
@@ -188,7 +200,7 @@ public class BubbleSort {
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            bubbleSort10(arr);
+            bubbleSort11(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
index bd7fb48..a8d3805 100644
--- a/src/leo/class01/EvenTimesOddTimes.java
+++ b/src/leo/class01/EvenTimesOddTimes.java
@@ -2,6 +2,8 @@ package leo.class01;
 
 import sun.applet.Main;
 
+import java.nio.ByteOrder;
+
 /**
  * @author Leo
  * @ClassName EvenTimesOddTimes
@@ -60,6 +62,15 @@ public class EvenTimesOddTimes {
 
     }
 
+    public static void printOdd5(int[] arr) {
+        int eor = 0;
+        for (int num : arr) {
+            eor ^= num;
+        }
+        System.out.println(eor);
+
+    }
+
 
     /**
      * 功能描述 : 有两种数出现了奇数次,找出他
@@ -152,13 +163,28 @@ public class EvenTimesOddTimes {
         System.out.println(eorOther + "  " + (eor ^ eorOther));
     }
 
+    public static void printOddTwo6(int[] arr) {
+        int eor = 0;
+        for (int num : arr) {
+            eor ^= num;
+        }
+        //找出最右侧出现1的位置
+        int rightOne = eor & (-eor);
+        int eorOther = 0;
+        for (int num : arr) {
+            if ((rightOne & num) != 0) {
+                eorOther ^= num;
+            }
+        }
+        System.out.println(eorOther + "  " + (eor ^ eorOther));
+    }
 
     public static void main(String[] args){
         int[] arrOne = {1, 1, 5, 5, 8, 1, 8, 5, 5};
 
-        printOdd4(arrOne);
+        printOdd5(arrOne);
         int[] arrTwo = {1, 1, 9, 5, 5, 8, 1, 8, 9, 5, 5, 5};
-        printOddTwo5(arrTwo);
+        printOddTwo6(arrTwo);
 
     }
 
diff --git a/src/leo/class01/InsertionSort.java b/src/leo/class01/InsertionSort.java
index 937b9ea..978508f 100644
--- a/src/leo/class01/InsertionSort.java
+++ b/src/leo/class01/InsertionSort.java
@@ -164,6 +164,39 @@ public class InsertionSort {
         }
     }
 
+    public static void insertionSort12(int[] arr) {
+        if (arr.length == 0 || 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 insertionSort13(int[] arr) {
+        if (arr.length == 0 || 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 insertionSort14(int[] arr) {
+        if (arr.length == 0 || 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);
+            }
+        }
+    }
+
     private static void swap(int[] arr, int i, int j) {
         if (arr == null
                 || arr.length < 2
@@ -188,7 +221,7 @@ public class InsertionSort {
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            insertionSort11(arr);
+            insertionSort14(arr);
             Arrays.sort(anotherArr);
             if (!ArrayUtil.isEqual(arr, anotherArr)) {
                 succeed = false;
diff --git a/src/leo/class01/KM.java b/src/leo/class01/KM.java
index 10cda63..2bdd7b1 100644
--- a/src/leo/class01/KM.java
+++ b/src/leo/class01/KM.java
@@ -1,5 +1,7 @@
 package leo.class01;
 
+import class01.Code08_KM;
+
 import java.util.HashMap;
 import java.util.HashSet;
 
@@ -119,10 +121,44 @@ public class KM {
     }
 
 
+    public static int onlyKTime5(int[] arr, int k, int m) {
+        int[] t = new int[32];
+        for (int num : arr) {
+            for (int i = 0; i < t.length; i++) {
+                t[i] += (num >> i) & 1;
+            }
+        }
+        int ans = 0;
+        for (int i = 0; i < t.length; i++) {
+            if (t[i] % m != 0) {
+                if (t[i] % m == k) {
+                    ans |= (1 << i);
+                }else{
+                    return -1;
+                }
+            }
+        }
+
+        if (ans == 0) {
+            int count = 0;
+            for (int num : arr) {
+
+                if (num == 0) {
+                    count++;
+                }
+            }
+            if (count != k) {
+                return -1;
+            }
+        }
+
+        return ans;
+    }
+
     public static void main(String[] args) {
-        int maxKinds = 8;
+        int maxKinds = 20;
         int range = 50;
-        int testTimes = 1000;
+        int testTimes = 10000;
         int max = 9;
         System.out.println("开始");
         for (int i = 0; i < testTimes; i++) {
@@ -133,15 +169,15 @@ public class KM {
             if (k == m) {
                 m++;
             }
-            int[] arr = randomArray2(maxKinds, range, k, m);
+            int[] arr = randomArray(maxKinds, range, k, m);
 
-            int ans = onlyKTime4(arr, k, m);
+            int ans = onlyKTime5(arr, k, m);
             int ans2 = testForOnlyKTimes(arr, k, m);
             if (ans != ans2) {
                 System.out.println(ans);
                 System.out.println(ans2);
                 System.out.println("出错了!!");
-                break;
+//                break;
             }
         }
         System.out.println("结束");
@@ -192,12 +228,12 @@ public class KM {
         int numKinds = (int) (maxKinds * Math.random() + 2);
         //出现k的数
         int kValue = randomInt(range);
+        int Ktime = Math.random() < 0.5 ? k : (int) ((Math.random() * (m - 1)) + 1);
         //arr长度
-        int[] arr = new int[k + (numKinds - 1) * m];
-
+        int[] arr = new int[Ktime + (numKinds - 1) * m];
 
         int index = 0;
-        for (; index < k; index++) {
+        for (; index < Ktime; index++) {
             arr[index] = kValue;
         }
         numKinds--;
diff --git a/src/leo/class01/SelectionSort.java b/src/leo/class01/SelectionSort.java
index 54f3d2a..ad40f23 100644
--- a/src/leo/class01/SelectionSort.java
+++ b/src/leo/class01/SelectionSort.java
@@ -176,6 +176,19 @@ public class SelectionSort {
         }
     }
 
+    public static void selectionSort12(int[] arr) {
+        if (arr.length == 0 || arr == null) {
+            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
@@ -207,7 +220,7 @@ public class SelectionSort {
         for (int i = 0; i < testOfTime; i++) {
             int[] arr = ArrayUtil.randomArray(maxSize, range);
             int[] anotherArr = ArrayUtil.copyArray(arr);
-            selectionSort11(arr);
+            selectionSort12(arr);
             Arrays.sort(anotherArr);
             if (!ArrayUtil.isEqual(arr, anotherArr)) {
                 succeed = false;