文章目录
一、各种排序算法
1.java自带的排序
int[] nums = new int[]{8,4,3,7,5,6};
Arrays.sort(nums);
2.冒泡排序
public class BubbleSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = bubbleSort(nums);
System.out.println("排序后:" + Arrays.toString(nums));
}
/**
* 冒泡排序
*
* @param nums:要排序的数组
* @return 返回排序后的数组
*/
public static int[] bubbleSort(int[] nums) {
//System.out.println("排序过程:");
for (int i = 0; i < nums.length; i++) {
for (int j = 0; j < nums.length - 1 - i; j++) {
if (nums[j] > nums[j + 1]) {
//交换位置
int temp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = temp;
}
}
}
return nums;
}
}
3.堆排序
public class HeapSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = heapSort(nums);
System.out.println("排序后:" + Arrays.toString(nums));
}
//
public static int[] heapSort(int[] nums) {
int start = (nums.length - 1) / 2;
//调整为大顶堆
for (int i = start; i >= 0; i--) {
maxHeap(nums, nums.length, i);
}
//
for (int i = nums.length - 1; i >= 0; i--) {
int temp = nums[0];
nums[0] = nums[i];
nums[i] = temp;
maxHeap(nums, i, 0);
}
return nums;
}
//转大顶堆的方法
public static void maxHeap(int[] nums, int size, int index) {
//当前节点
int self = index;
//左子节点
int left = 2 * index + 1;
//和左子节点进行对比,选出最大的节点放到自身位置
if (left < size && nums[self] < nums[left]) {
int temp = nums[self];
nums[self] = nums[left];
nums[left] = temp;
maxHeap(nums, size, left);
}
//右子节点
int right = 2 * index + 2;
//和右子节点进行对比,选出最大的节点放到自身位置
if (right < size && nums[self] < nums[right]) {
int temp = nums[self];
nums[self] = nums[right];
nums[right] = temp;
maxHeap(nums, size, right);
}
}
}
4.插入排序
public class InsertSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = insertSort(nums);
System.out.println("排序后:" + Arrays.toString(nums));
}
public static int[] insertSort(int[] nums) {
for (int i = 0; i < nums.length; i++) {
//把当前遍历的数字存起来
int temp = nums[i];
//遍历当前数字前面所有的数字
int j;
for (j = i - 1; j >= 0 && nums[j] > temp; j--) {
//把前一个数字赋给后一个数字
nums[j + 1] = nums[j];
}
//把临时变量赋给不满足条件的后一个元素
nums[j + 1] = temp;
}
return nums;
}
}
5.归并排序
public class MergeSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = mergeSort(nums, 0, nums.length - 1);
System.out.println("排序后:" + Arrays.toString(nums));
}
public static int[] mergeSort(int[] nums, int low, int high) {
int mid = (low + high) / 2;
if (low < high) {
mergeSort(nums, low, mid);
mergeSort(nums, mid + 1, high);
merge(nums, low, mid, high);
}
return nums;
}
public static void merge(int[] nums, int low, int mid, int high) {
//临时数组
int[] temp = new int[high - low + 1];
//记录左边的数组的最左位置
int i = low;
//记录右边数组的最左位置
int j = mid + 1;
//记录放入temp数组中的位置,从0开始放,每次放 就++
int index = 0;
while (i <= mid && j <= high) {
if (nums[i] < nums[j]) {
temp[index++] = nums[i++];
} else {
temp[index++] = nums[j++];
}
}
//处理多余的数组
while (i <= mid) {
temp[index++] = nums[i++];
}
while (j <= high) {
temp[index++] = nums[j++];
}
//将临时数组中的值赋给nums数组中对应位置
for (int k = 0; k < temp.length; k++) {
nums[k + low] = temp[k];
}
}
}
6.快速排序
public class QuickSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = quickSort(nums, 0, nums.length - 1);
System.out.println("排序后:" + Arrays.toString(nums));
}
/**
* @param nums 被排序的数组
* @param start 排序开始位置
* @param end 排序结束位置
* @return 返回排序后的数组
*/
public static int[] quickSort(int[] nums, int start, int end) {
if (start < end) {
//低位置
int low = start;
//高位置
int high = end;
//取开始位置元素作为标准数
int standard = nums[start];
while (low < high) {
//如果右边的数组比标准数大
while (nums[high] >= standard && low < high) {
high--;
}
//使用右边的数字替换左边的数字
nums[low] = nums[high];
//如果左边的数组比标准数小
while (nums[low] <= standard && low < high) {
low++;
}
//使用左边的数字替换右边的数字
nums[high] = nums[low];
}
//把标准数赋回给低位置或者高位置(此时低位置和高位置已经重合)
nums[low] = standard;
//处理标准数左边的数字
nums = quickSort(nums, start, low);
//处理标准数右边的数字
nums = quickSort(nums, low + 1, end);
}
return nums;
}
}
7.选择排序
public class SelectSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = selectSort(nums);
System.out.println("排序后:" + Arrays.toString(nums));
}
public static int[] selectSort(int[] nums) {
for (int i = 0; i < nums.length; i++) {
int min = nums[i];
int minIndex = i;
for (int j = i + 1; j < nums.length; j++) {
if (nums[j] < min) {
min = nums[j];
minIndex = j;
}
}
//把找到的最小值和当前i位置替换
int temp = nums[i];
nums[i] = nums[minIndex];
nums[minIndex] = temp;
}
return nums;
}
}
8.希尔排序
public class ShellSort {
public static void main(String[] args) {
int[] nums = {5, -1, 0, 9, -4, 5, 3};
System.out.println("排序前:" + Arrays.toString(nums));
nums = shellSort(nums);
System.out.println("排序后:" + Arrays.toString(nums));
}
// 升序排序
public static int[] shellSort(int[] nums) {
//遍历所有步长
for (int d = nums.length / 2; d > 0; d /= 2) {
//遍历所有元素
for (int i = 0; i < nums.length; i++) {
//遍历本组中所有元素
for (int j = i - d; j >= 0; j -= d) {
//如果当前元素大于加上步长后的那个元素
if (nums[j] > nums[j + d]) {
int temp = nums[j];
nums[j] = nums[j + d];
nums[j + d] = temp;
}
}
}
}
return nums;
}
// 降序排序
public static int[] shellSort2(int[] nums) {
//遍历所有步长
for (int d = nums.length / 2; d > 0; d /= 2) {
//遍历所有元素
for (int i = 0; i < nums.length; i++) {
//遍历本组中所有元素
for (int j = i - d; j >= 0; j -= d) {
//如果当前元素大于加上步长后的那个元素
if (nums[j] < nums[j + d]) {
int temp = nums[j];
nums[j] = nums[j + d];
nums[j + d] = temp;
}
}
}
}
return nums;
}
}
9.二叉排序树排序
public class BinarySortTree {
public Node root;
public int len;
public BinarySortTree() {
}
//返回根节点的高度
public int height() {
if (root == null) {
return -1;
} else {
return root.height();
}
}
//添加节点
public void add(Node node) {
if (root == null) {
return;
}
root.add(node);
}
//中序遍历
public void midShow() {
if (this.root == null) {
return;
}
root.midShow();
}
//中序遍历
public List<Integer> midShow2() {
if (this.root == null) {
return null;
}
List<Integer> nums = new ArrayList<>();
root.midShow2(nums);
System.out.println(nums.size() + " ---");
return nums;
}
//查找前序查找
public Node frontSearch(int value) {
if (root == null) {
return null;
}
return root.frontSearch(value);
}
//删除指定值的节点
public void remove(int value) {
if (root == null) {
return;
} else {
root.remove(value);
}
}
}
public class Node {
int value;
Node left;
Node right;
public Node(int value) {
this.value = value;
}
//返回当前节点的高度
public int height() {
return Math.max(this.left == null ? 0 : this.left.height(), this.right == null ? 0 : this.right.height()) + 1;
}
//当前节点左子树的高度
public int leftHeight() {
if (left == null) {
return 0;
} else {
return left.height();
}
}
//当前节点右子树的高度
public int rightHeight() {
if (right == null) {
return 0;
} else {
return right.height();
}
}
//中序遍历
public void midShow() {
if (this == null) {
return;
}
//左
if (this.left != null) {
this.left.midShow();
}
//自身
System.out.println(this.value);
//右
if (this.right != null) {
this.right.midShow();
}
}
//中序遍历
public void midShow2(List<Integer> nums) {
if (this == null) {
return;
}
//左
if (this.left != null) {
this.left.midShow2(nums);
}
//自身
nums.add(this.value);
//右
if (this.right != null) {
this.right.midShow2(nums);
}
}
//添加节点
public void add(Node node) {
if (this == null || node == null) {
return;
}
if (node.value < this.value) {
if (this.left == null) {
this.left = node;
} else {
this.left.add(node);
}
} else {
if (this.right == null) {
this.right = node;
} else {
this.right.add(node);
}
}
//是否要控制排序树平衡(查询平衡会增加排序的时间,但是以后的查找速度会提升)
if (true) {
if (leftHeight() - rightHeight() >= 2) {
if (left != null && left.leftHeight() < left.rightHeight()) {
//双旋转
left.leftRotate();
rightRotate();
} else {
//左子树高度与右子树高度之差大于等于2,则进行右旋转
rightRotate();
}
} else if (rightHeight() - leftHeight() >= 2) {
if (right != null && right.rightHeight() < right.leftHeight()) {
//双旋转
right.rightRotate();
leftRotate();
} else {
//左旋转
leftRotate();
}
}
}
}
//左旋转
private void leftRotate() {
//创建一个新节点,值就为当前节点的值
Node node = new Node(this.value);
//将当前节点的左节点设置为新节点的左节点
node.left = this.left;
//将新节点的右节点设置为当前节点的右节点的左节点
node.right = this.right.left;
//将当前节点的值设置为当前节点的右节点的值
this.value = this.right.value;
//将当前节点的右节点设置为当前节点右节点的右节点
this.right = this.right.right;
//将当前节点的左子树设置为新节点
this.left = node;
}
//右旋转
private void rightRotate() {
//创建一个新节点,值就为当前节点的值
Node node = new Node(this.value);
//将当前节点的右节点设置为新节点的右节点
node.right = this.right;
//将新节点的左节点设置为当前节点的左节点的右节点
node.left = this.left.right;
//将当前节点的值设置为当前节点的左节点的值
this.value = this.left.value;
//将当前节点的左节点设置为当前节点左节点的左节点
this.left = this.left.left;
//将当前节点的右子树设置为新节点
this.right = node;
}
//查找前序查找
public Node frontSearch(int value) {
if (this == null) {
return null;
}
//自身
if (this.value == value) {
return this;
}
//左
if (left != null) {
return left.frontSearch(value);
}
//右
if (right != null) {
return right.frontSearch(value);
}
return null;
}
//删除指定值的节点
public void remove(int value) {
if (this == null) {
return;
} else {
}
}
@Override
public String toString() {
return "Node{" +
"value=" + value +
'}';
}
}
BinarySortTree binarySortTree = new BinarySortTree();
binarySortTree.len = nums.length;
binarySortTree.root = new Node(nums[0]);
for (int i = 1; i < nums.length; i++) {
binarySortTree.root.add(new Node(nums[i]));
}
二、各种算法的速度对比
public class SortCompare {
public static void main(String[] args) {
//创建测试数组
int[] nums = new int[12000];
for (int i = 0; i < nums.length; i++) {
nums[i] = new Random().nextInt(100);
}
System.out.println("原始数组:" + Arrays.toString(nums));
long start = System.currentTimeMillis();
System.out.println("Arrays自带排序:");
int[] nums2 = nums.clone();
Arrays.sort(nums2);
System.out.println(Arrays.toString(nums2));
long end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
System.out.println("冒泡排序:");
System.out.println(Arrays.toString(BubbleSort.bubbleSort(nums.clone())));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("快速排序:");
System.out.println(Arrays.toString(QuickSort.quickSort(nums.clone(), 0, nums.length - 1)));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("插入排序:");
System.out.println(Arrays.toString(InsertSort.insertSort(nums.clone())));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("希尔排序:");
System.out.println(Arrays.toString(ShellSort.shellSort(nums.clone())));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("选择排序:");
System.out.println(Arrays.toString(SelectSort.selectSort(nums.clone())));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("归并排序:");
System.out.println(Arrays.toString(MergeSort.mergeSort(nums.clone(), 0, nums.length - 1)));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("堆排序:");
System.out.println(Arrays.toString(HeapSort.heapSort(nums.clone())));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
start = System.currentTimeMillis();
System.out.println("二叉排序树:");
BinarySortTree binarySortTree = new BinarySortTree();
binarySortTree.len = nums.length;
binarySortTree.root = new Node(nums[0]);
for (int i = 1; i < nums.length; i++) {
binarySortTree.root.add(new Node(nums[i]));
}
System.out.println((binarySortTree.midShow2()));
end = System.currentTimeMillis();
System.out.println("用时:" + (end - start) / 1000.0 + "秒");
//--------------------------------------------------------------
}
}
原始数组:[94, 57, 12, 55, 74, 47, 36, 27, 59, 84, 20, 33, 6, 73, 47, 78, 38, 27, 33, 89, 39, 65, 83, 45, 42, 80, 75, 37, 40, 95, 10, 21, 93, 27, 21, 41, 92, 82, 50, 95, 65, 66, 31, 53, 38, 70, 51, 63, 77, 63, 1, 55, 98, 61, 96, 7, 0, 91, 57, 9, 46, 1, 46, 92, 25, 23, 39, 90, 43, 33, 63, 22, 48, 92, 30, 24, 38, 35, 24, 18, 69, 70, 23, 22, 61, 77, 95, 32, 24, 9, 54, 26, 49, 78, 82, 8, 1, 87, 66, 58, 7, 45, 39, 88, 20, 18, 75, 44, 72, 27, 13, 28, 51, 58, 67, 3, 23, 85, 5, 53, 97, 74, 34, 1, 34, 25, 37, 5, 41, 40, 36, 87, 77, 7, 60, 87, 60, 18, 24, 39, 97, 27, 44, 50, 99, 89, 35, 65, 65, 96, 17, 11, 82, 20, 48, 47, 50, 35, 76, 37, 49, 82, 45, 47, 14, 97, 63, 74, 75, 99, 38, 26, 95, 87, 37, 47, 75, 8, 79, 3, 0, 15, 33, 69, 64, 86, 56, 90, 48, 78, 59, 81, 96, 99, 87, 35, 43, 66, 74, 65, 65, 34, 87, 81, 63, 67, 62, 26, 6, 69, 82, 57, 50, 15, 26, 68, 98, 75, 98, 58, 94, 75, 73, 95, 80, 61, 28, 64, 6, 23, 52, 2, 8, 51, 85, 92, 26, 62, 17, 73, 6, 15, 95, 29, 98, 58, 2, 44, 85, 89, 55, 72, 76, 85, 36, 0, 75, 79, 71, 89, 43, 43, 94, 62, 91, 90, 14, 10, 27, 37, 49, 43, 89, 98, 90, 10, 5, 81, 99, 31, 41, 82, 19, 48, 87, 78, 39, 27, 69, 32, 24, 13, 80, 47, 60, 53, 56, 16, 68, 56, 71, 2, 2, 56, 54, 97, 55, 68, 75, 35, 88, 36, 40, 84, 74, 85, 6, 43, 58, 40, 80, 74, 21, 70, 37, 47, 32, 4, 67, 46, 30, 51, 47, 79, 48, 69, 81, 7, 7, 72, 67, 49, 0, 91, 23, 39, 48, 80, 1, 51, 16, 15, 61, 5, 25, 37, 25, 92, 52, 47, 90, 75, 35, 36, 10, 88, 54, 30, 84, 78, 21, 65, 27, 51, 86, 30, 16, 66, 0, 82, 92, 93, 13, 62, 84, 15, 40, 18, 40, 44, 82, 7, 59, 48, 59, 12, 48, 83, 79, 97, 75, 18, 6, 21, 74, 82, 14, 86, 89, 25, 46, 59, 3, 39, 89, 45, 57, 76, 30, 67, 90, 25, 66, 79, 22, 3, 72, 70, 8, 21, 34, 76, 59, 94, 77, 14, 70, 63, 94, 50, 96, 88, 49, 93, 35, 38, 49, 50, 80, 27, 16, 68, 20, 96, 44, 32, 12, 49, 66, 51, 87, 77, 14, 97, 70, 59, 65, 40, 42, 46, 80, 51, 23, 19, 24, 90, 4, 88, 99, 90, 84, 53, 73, 35, 36, 52, 6, 35, 46, 60, 93, 37, 56, 66, 6, 99, 19, 82, 55, 45, 40, 77, 90, 37, 62, 4, 79, 1, 29, 88, 90, 89, 78, 13, 3, 44, 97, 39, 45, 53, 6, 1, 49, 10, 76, 22, 71, 74, 28, 81, 64, 52, 15, 43, 33, 69, 98, 64, 64, 84, 62, 7, 81, 16, 21, 54, 83, 24, 47, 31, 24, 95, 92, 29, 5, 27, 52, 58, 50, 77, 57, 30, 99, 1, 97, 10, 75, 84, 46, 79, 94, 4, 60, 90, 26, 57, 63, 66, 74, 80, 98, 82, 14, 8, 26, 20, 13, 27, 72, 88, 47, 28, 14, 25, 67, 69, 64, 92, 60, 92, 90, 33, 10, 84, 58, 76, 76, 52, 49, 85, 11, 14, 69, 35, 75, 16, 63, 49, 10, 85, 34, 86, 15, 83, 39, 70, 29, 69, 98, 41, 50, 68, 71, 12, 37, 85, 81, 91, 49, 22, 4, 67, 17, 97, 20, 77, 49, 38, 45, 6, 26, 61, 7, 76, 44, 87, 16, 90, 29, 17, 38, 15, 11, 95, 94, 23, 30, 40, 12, 34, 86, 3, 63, 94, 61, 36, 35, 22, 3, 31, 90, 18, 87, 30, 42, 93, 1, 75, 35, 25, 58, 29, 5, 29, 15, 69, 23, 27, 94, 62, 2, 33, 0, 61, 13, 7, 55, 72, 86, 41, 95, 40, 7, 2, 89, 25, 36, 78, 29, 21, 87, 3, 48, 57, 32, 58, 43, 22, 81, 69, 25, 65, 97, 23, 10, 59, 46, 24, 58, 47, 56, 97, 76, 5, 79, 39, 80, 3, 54, 18, 14, 31, 18, 66, 92, 73, 93, 36, 68, 19, 26, 61, 32, 99, 44, 74, 98, 97, 49, 17, 14, 28, 36, 64, 66, 10, 4, 36, 94, 98, 33, 90, 60, 64, 83, 78, 78, 97, 83, 0, 67, 31, 52, 85, 46, 11, 56, 1, 6, 8, 61, 5, 55, 70, 35, 39, 60, 7, 81, 87, 88, 35, 48, 70, 10, 90, 59, 79, 92, 54, 70, 24, 90, 71, 62, 66, 12, 90, 34, 81, 28, 19, 86, 28, 96, 24, 32, 31, 21, 60, 85, 83, 28, 30, 73, 80, 88, 93, 80, 72, 55, 50, 9, 35, 93, 42, 50, 86, 7, 64, 47, 14, 29, 0, 42, 19, 51, 40, 2, 90, 33, 81, 41, 79, 69, 31, 84, 22, 88, 47, 68, 21, 89, 69, 94, 72, 21, 22, 73, 37, 30, 50, 80, 40, 87, 36, 64, 77, 6, 8, 55, 37, 46, 6, 99, 19, 31, 70, 77, 30, 60, 44, 98, 40, 9, 69, 57, 15, 7, 43, 60, 94, 79, 63, 79, 99, 64, 17, 37, 74, 59, 44, 48, 11, 72, 10, 95, 7, 57, 81, 9, 80, 94, 80, 96, 99, 51, 25, 43, 92, 54, 44, 55, 1, 35, 11, 44, 89, 74, 44, 59, 8, 0, 8, 95, 89, 92, 98, 69, 40, 3, 40, 63, 52, 41, 23, 88, 30, 41, 68, 52, 54, 30, 72, 63, 14, 44, 81, 99, 81, 9, 11, 24, 45, 64, 47, 43, 77, 33, 11, 59, 91, 46, 95, 31, 19, 73, 41, 80, 40, 44, 46, 97, 6, 64, 33, 70, 73, 27, 52, 8, 57, 1, 42, 52, 10, 65, 48, 67, 27, 93, 42, 75, 1, 63, 28, 3, 80, 88, 33, 38, 50, 68, 24, 65, 63, 24, 58, 88, 93, 19, 37, 25, 91, 0, 71, 98, 14, 23, 91, 43, 9, 35, 85, 82, 13, 87, 7, 36, 28, 92, 36, 83, 89, 69, 47, 55, 13, 32, 4, 74, 61, 29, 62, 0, 43, 37, 13, 70, 80, 93, 0, 76, 70, 23, 45, 8, 89, 68, 5, 7, 28, 8, 63, 63, 45, 19, 95, 62, 33, 96, 65, 20, 59, 19, 5, 88, 76, 58, 51, 86, 71, 76, 41, 28, 20, 4, 81, 44, 35, 13, 0, 94, 93, 29, 77, 67, 87, 48, 84, 47, 25, 75, 28, 25, 56, 8, 85, 99, 83, 20, 43, 19, 85, 24, 22, 80, 94, 16, 13, 33, 62, 90, 4, 13, 95, 20, 7, 27, 41, 92, 64, 90, 34, 78, 66, 96, 22, 88, 80, 16, 33, 74, 80, 23, 45, 95, 22, 40, 34, 85, 52, 21, 25, 92, 10, 77, 52, 45, 61, 35, 1, 58, 63, 65, 85, 29, 88, 87, 24, 88, 43, 43, 21, 26, 39, 85, 69, 21, 93, 87, 13, 33, 4, 40, 24, 29, 41, 62, 5, 61, 67, 52, 8, 81, 97, 48, 66, 86, 10, 55, 52, 19, 50, 65, 64, 99, 54, 99, 81, 5, 78, 19, 54, 25, 24, 55, 62, 11, 93, 28, 80, 75, 92, 25, 37, 8, 87, 45, 16, 98, 40, 24, 85, 36, 63, 54, 78, 87, 24, 43, 71, 60, 73, 62, 97, 5, 44, 97, 8, 23, 57, 78, 50, 9, 51, 60, 79, 6, 61, 84, 49, 76, 95, 50, 2, 48, 17, 16, 30, 6, 30, 42, 85, 23, 70, 3, 0, 80, 54, 41, 40, 66, 86, 9, 37, 69, 1, 49, 73, 1, 0, 70, 62, 88, 35, 81, 94, 35, 34, 98, 20, 95, 34, 9, 56, 78, 79, 1, 41, 59, 80, 2, 21, 59, 63, 73, 24, 28, 18, 12, 35, 37, 5, 44, 89, 54, 78, 58, 51, 42, 46, 16, 7, 47, 18, 55, 60, 48, 53, 44, 14, 72, 10, 29, 34, 16, 42, 53, 23, 85, 83, 50, 55, 74, 36, 93, 20, 72, 69, 53, 48, 15, 63, 99, 90, 86, 53, 64, 90, 6, 55, 74, 61, 13, 96, 47, 31, 26, 87, 87, 8, 47, 91, 42, 15, 99, 92, 4, 80, 8, 66, 67, 37, 47, 33, 26, 39, 65, 35, 16, 5, 60, 49, 38, 65, 96, 39, 38, 37, 91, 15, 46, 61, 79, 87, 18, 15, 16, 73, 22, 42, 94, 30, 45, 0, 60, 66, 81, 69, 93, 52, 29, 35, 2, 97, 73, 19, 63, 16, 74, 49, 89, 34, 78, 26, 75, 60, 61, 41, 79, 59, 49, 43, 9, 3, 86, 95, 59, 45, 70, 89, 13, 24, 9, 43, 59, 16, 31, 83, 43, 35, 46, 63, 83, 52, 37, 97, 55, 5, 62, 8, 37, 87, 39, 86, 97, 20, 9, 34, 11, 46, 99, 1, 76, 83, 47, 24, 44, 57, 36, 96, 76, 10, 90, 41, 85, 87, 60, 81, 49, 7, 5, 70, 26, 11, 75, 16, 72, 12, 1, 97, 37, 91, 17, 37, 48, 69, 36, 21, 24, 67, 63, 16, 49, 14, 18, 29, 55, 45, 80, 60, 5, 54, 26, 53, 93, 20, 53, 12, 25, 2, 25, 97, 8, 36, 75, 66, 57, 46, 3, 77, 52, 97, 0, 16, 36, 2, 43, 70, 14, 96, 26, 2, 19, 17, 44, 12, 97, 31, 80, 67, 37, 34, 66, 40, 31, 66, 51, 91, 95, 98, 99, 46, 89, 90, 98, 19, 42, 19, 18, 45, 34, 5, 62, 53, 90, 97, 77, 72, 59, 51, 21, 39, 15, 62, 78, 51, 41, 67, 3, 13, 60, 62, 21, 50, 11, 94, 50, 37, 35, 42, 71, 59, 47, 92, 55, 57, 2, 71, 65, 48, 29, 11, 87, 0, 17, 24, 52, 92, 96, 81, 70, 8, 10, 95, 29, 88, 0, 55, 58, 66, 31, 87, 34, 14, 93, 53, 20, 30, 19, 3, 12, 26, 72, 20, 63, 44, 40, 32, 48, 71, 15, 10, 19, 42, 66, 85, 30, 13, 17, 41, 83, 20, 15, 35, 28, 80, 37, 39, 72, 14, 19, 51, 86, 96, 52, 30, 69, 84, 67, 79, 54, 20, 48, 45, 40, 80, 13, 81, 86, 80, 2, 64, 90, 9, 8, 48, 66, 29, 21, 56, 6, 50, 48, 53, 70, 74, 67, 72, 68, 15, 95, 73, 43, 17, 87, 27, 17, 76, 75, 91, 87, 35, 3, 45, 50, 61, 24, 39, 50, 60, 2, 55, 83, 46, 47, 98, 81, 19, 39, 76, 13, 20, 21, 75, 5, 40, 98, 19, 39, 36, 79, 57, 12, 6, 8, 88, 92, 93, 70, 72, 46, 91, 52, 90, 86, 57, 98, 61, 59, 90, 73, 83, 82, 71, 53, 36, 44, 87, 87, 20, 91, 24, 36, 35, 61, 51, 53, 18, 4, 44, 99, 12, 30, 14, 8, 87, 95, 76, 49, 55, 64, 24, 37, 7, 95, 63, 24, 43, 93, 33, 39, 47, 39, 6, 59, 46, 10, 7, 67, 70, 65, 28, 26, 89, 4, 18, 95, 80, 54, 76, 1, 86, 53, 24, 84, 31, 53, 12, 73, 81, 29, 49, 27, 62, 49, 69, 52, 47, 79, 76, 39, 4, 47, 1, 59, 68, 59, 34, 35, 21, 1, 31, 27, 16, 91, 52, 10, 65, 23, 86, 88, 77, 72, 98, 23, 41, 62, 47, 65, 42, 48, 59, 32, 36, 4, 70, 18, 13, 12, 43, 62, 32, 20, 16, 66, 46, 93, 8, 62, 11, 82, 73, 99, 66, 14, 87, 82, 72, 47, 13, 0, 44, 24, 21, 71, 33, 96, 40, 1, 86, 61, 75, 85, 20, 43, 46, 80, 90, 1, 88, 33, 46, 14, 64, 97, 72, 1, 17, 83, 63, 82, 34, 93, 71, 66, 81, 37, 71, 21, 60, 54, 83, 9, 86, 16, 79, 55, 28, 99, 5, 49, 12, 1, 64, 0, 76, 89, 74, 68, 23, 82, 75, 75, 30, 52, 33, 23, 63, 76, 45, 65, 89, 73, 7, 85, 70, 11, 31, 26, 9, 76, 74, 64, 33, 37, 85, 7, 97, 15, 88, 57, 44, 40, 53, 50, 57, 18, 63, 8, 49, 25, 38, 98, 40, 12, 42, 38, 40, 65, 81, 96, 76, 19, 20, 37, 11, 54, 87, 27, 31, 82, 21, 12, 27, 95, 0, 77, 50, 47, 91, 67, 20, 7, 15, 34, 4, 59, 5, 65, 25, 41, 38, 83, 87, 83, 20, 30, 97, 84, 63, 74, 86, 25, 16, 17, 38, 64, 4, 93, 49, 12, 3, 61, 37, 9, 23, 49, 68, 91, 40, 69, 53, 92, 32, 94, 8, 68, 86, 58, 0, 73, 47, 96, 49, 38, 30, 48, 76, 46, 97, 66, 3, 26, 74, 82, 51, 9, 21, 51, 71, 98, 86, 32, 21, 13, 86, 40, 78, 43, 52, 31, 44, 77, 32, 70, 65, 36, 64, 90, 31, 73, 51, 64, 66, 29, 40, 31, 22, 30, 96, 86, 35, 32, 55, 57, 65, 18, 33, 80, 83, 36, 1, 62, 72, 79, 79, 10, 83, 82, 55, 52, 38, 86, 1, 29, 98, 83, 47, 71, 55, 7, 12, 38, 77, 39, 24, 28, 42, 35, 68, 88, 1, 64, 43, 76, 60, 55, 14, 70, 8, 32, 7, 35, 20, 51, 61, 53, 93, 65, 13, 28, 6, 26, 5, 85, 79, 67, 68, 29, 76, 69, 95, 51, 21, 99, 72, 43, 20, 66, 32, 96, 88, 61, 46, 14, 53, 87, 46, 85, 24, 89, 10, 54, 16, 12, 16, 35, 4, 53, 48, 20, 48, 91, 51, 41, 50, 37, 32, 21, 61, 45, 67, 19, 80, 2, 43, 87, 52, 43, 42, 73, 71, 97, 99, 2, 6, 89, 58, 75, 84, 21, 14, 83, 34, 53, 51, 94, 20, 95, 20, 85, 88, 75, 39, 50, 67, 73, 98, 27, 44, 91, 38, 29, 70, 55, 66, 4, 53, 2, 25, 19, 10, 36, 97, 53, 17, 13, 86, 54, 92, 79, 33, 24, 96, 25, 57, 78, 62, 93, 97, 2, 46, 17, 66, 99, 42, 70, 91, 62, 55, 66, 5, 35, 64, 8, 36, 39, 38, 66, 10, 7, 25, 68, 87, 81, 12, 86, 60, 53, 35, 19, 29, 41, 42, 17, 85, 52, 90, 88, 17, 35, 4, 37, 95, 69, 9, 95, 47, 28, 11, 22, 93, 5, 80, 5, 50, 0, 54, 10, 91, 77, 52, 63, 83, 20, 49, 2, 83, 77, 71, 72, 99, 71, 25, 1, 78, 79, 75, 65, 57, 49, 29, 95, 70, 93, 98, 70, 99, 29, 0, 29, 12, 46, 76, 67, 76, 57, 27, 47, 29, 86, 16, 33, 11, 36, 59, 80, 72, 24, 15, 99, 50, 4, 31, 93, 58, 47, 33, 89, 50, 91, 71, 62, 19, 66, 8, 3, 88, 82, 97, 74, 63, 43, 76, 74, 54, 63, 81, 42, 15, 6, 73, 69, 65, 24, 37, 4, 80, 27, 47, 49, 90, 43, 13, 4, 10, 35, 61, 86, 85, 98, 65, 84, 33, 8, 48, 60, 35, 50, 79, 59, 91, 39, 11, 45, 16, 69, 98, 6, 50, 53, 3, 52, 8, 32, 86, 95, 21, 93, 71, 55, 72, 21, 83, 2, 32, 45, 54, 65, 68, 25, 73, 77, 84, 17, 55, 1, 0, 70, 61, 88, 0, 27, 68, 72, 46, 34, 67, 7, 24, 55, 45, 64, 77, 85, 93, 5, 47, 85, 27, 2, 76, 63, 70, 27, 48, 67, 2, 69, 83, 21, 48, 5, 84, 10, 94, 37, 10, 71, 67, 73, 23, 42, 11, 98, 17, 30, 64, 18, 20, 22, 84, 85, 89, 82, 34, 99, 90, 86, 61, 79, 6, 56, 34, 4, 98, 57, 16, 80, 71, 0, 13, 91, 49, 98, 7, 0, 47, 91, 25, 33, 31, 66, 29, 99, 62, 61, 2, 84, 86, 10, 64, 9, 81, 86, 85, 1, 12, 29, 66, 45, 4, 3, 4, 81, 42, 53, 65, 97, 59, 74, 76, 50, 96, 68, 27, 26, 24, 13, 64, 83, 46, 51, 71, 82, 96, 86, 42, 22, 9, 60, 57, 16, 4, 35, 28, 54, 70, 0, 50, 75, 82, 5, 82, 56, 36, 41, 15, 75, 25, 85, 83, 78, 9, 36, 41, 4, 89, 95, 77, 80, 33, 92, 24, 79, 30, 36, 39, 25, 19, 58, 39, 98, 18, 5, 81, 79, 3, 78, 85, 88, 44, 25, 80, 85, 17, 3, 59, 64, 50, 19, 38, 76, 48, 25, 86, 80, 47, 40, 84, 48, 70, 4, 60, 21, 83, 98, 36, 26, 91, 34, 58, 36, 15, 0, 1, 97, 19, 56, 43, 12, 95, 63, 13, 39, 61, 75, 61, 85, 71, 94, 38, 57, 66, 14, 19, 62, 52, 33, 34, 2, 22, 47, 96, 0, 9, 99, 22, 68, 44, 47, 94, 31, 11, 94, 38, 76, 88, 59, 28, 73, 98, 74, 59, 42, 31, 5, 48, 21, 52, 25, 91, 41, 25, 18, 63, 19, 25, 6, 36, 60, 13, 47, 7, 43, 15, 92, 41, 53, 31, 76, 73, 84, 45, 39, 14, 84, 85, 85, 59, 77, 41, 25, 77, 6, 31, 23, 33, 61, 33, 95, 69, 31, 16, 91, 12, 23, 29, 70, 92, 33, 62, 68, 71, 62, 74, 23, 38, 51, 27, 0, 68, 87, 39, 77, 24, 60, 99, 42, 82, 27, 99, 63, 1, 62, 17, 80, 13, 76, 18, 37, 21, 63, 12, 97, 77, 83, 43, 22, 10, 9, 32, 32, 21, 77, 91, 95, 91, 72, 80, 97, 24, 17, 17, 25, 3, 23, 66, 96, 1, 67, 97, 14, 13, 55, 34, 49, 58, 77, 79, 14, 64, 27, 55, 34, 98, 2, 1, 42, 40, 11, 69, 21, 22, 11, 28, 93, 50, 43, 94, 13, 69, 31, 58, 2, 97, 31, 42, 70, 90, 9, 70, 9, 54, 9, 48, 7, 28, 48, 23, 7, 14, 24, 60, 42, 27, 56, 21, 41, 65, 51, 2, 9, 58, 40, 96, 25, 19, 63, 9, 78, 27, 96, 58, 6, 2, 19, 46, 78, 66, 91, 56, 21, 22, 64, 69, 67, 40, 29, 17, 60, 6, 93, 48, 71, 31, 71, 48, 85, 46, 51, 6, 73, 70, 70, 34, 4, 47, 96, 92, 96, 68, 90, 5, 20, 44, 98, 28, 63, 79, 76, 75, 59, 50, 25, 48, 64, 32, 99, 71, 15, 80, 70, 27, 36, 75, 79, 23, 17, 55, 31, 79, 41, 30, 82, 21, 77, 47, 65, 10, 75, 99, 66, 15, 57, 23, 74, 88, 22, 39, 0, 31, 10, 56, 79, 94, 69, 28, 22, 99, 34, 14, 13, 76, 90, 6, 6, 92, 21, 20, 87, 46, 18, 96, 71, 75, 25, 28, 65, 24, 18, 21, 76, 60, 16, 30, 0, 78, 38, 63, 93, 27, 90, 28, 37, 76, 24, 14, 30, 89, 63, 60, 80, 75, 74, 2, 61, 31, 40, 99, 40, 57, 37, 51, 63, 38, 42, 84, 27, 8, 37, 97, 63, 31, 94, 40, 46, 40, 15, 9, 45, 92, 0, 40, 32, 70, 11, 96, 41, 92, 64, 80, 80, 40, 60, 37, 96, 36, 7, 31, 94, 57, 43, 3, 38, 44, 59, 95, 24, 94, 29, 25, 90, 64, 56, 95, 10, 47, 66, 36, 85, 2, 64, 65, 16, 3, 62, 29, 87, 98, 22, 86, 93, 9, 44, 88, 41, 63, 74, 36, 17, 31, 34, 78, 10, 80, 62, 21, 94, 61, 21, 65, 23, 83, 48, 82, 74, 6, 8, 14, 54, 25, 2, 2, 10, 6, 79, 98, 33, 11, 76, 83, 68, 78, 5, 99, 15, 47, 98, 23, 15, 35, 4, 5, 10, 1, 92, 46, 59, 41, 49, 77, 49, 91, 4, 47, 60, 69, 43, 77, 45, 93, 82, 13, 43, 92, 53, 51, 88, 7, 50, 33, 97, 79, 33, 52, 88, 20, 83, 82, 44, 94, 7, 42, 92, 50, 94, 81, 20, 0, 7, 81, 14, 64, 32, 16, 41, 59, 97, 85, 30, 68, 58, 29, 80, 28, 64, 53, 20, 13, 77, 9, 70, 38, 47, 58, 10, 47, 29, 88, 59, 47, 1, 99, 51, 80, 11, 89, 85, 45, 79, 66, 43, 76, 6, 93, 99, 33, 4, 66, 37, 49, 2, 37, 88, 14, 54, 81, 98, 48, 60, 64, 60, 53, 34, 52, 78, 59, 51, 71, 23, 65, 9, 11, 15, 76, 78, 13, 25, 64, 19, 32, 78, 77, 65, 62, 8, 43, 83, 85, 53, 82, 96, 97, 21, 76, 83, 33, 27, 49, 73, 50, 65, 4, 34, 85, 82, 47, 74, 21, 95, 31, 40, 64, 48, 92, 78, 47, 58, 11, 25, 22, 57, 49, 21, 60, 99, 6, 40, 77, 8, 16, 24, 18, 52, 32, 60, 2, 39, 64, 34, 38, 59, 1, 68, 34, 95, 58, 62, 72, 3, 49, 56, 10, 11, 21, 72, 41, 35, 20, 87, 52, 41, 51, 6, 75, 60, 20, 47, 19, 98, 7, 67, 0, 12, 11, 41, 92, 25, 37, 51, 24, 30, 9, 29, 4, 67, 99, 34, 64, 32, 61, 35, 28, 66, 81, 78, 58, 33, 61, 94, 71, 6, 68, 44, 80, 70, 94, 32, 49, 34, 81, 30, 11, 57, 52, 43, 93, 73, 39, 2, 31, 85, 97, 53, 94, 94, 51, 84, 15, 90, 27, 31, 63, 16, 41, 78, 76, 12, 45, 13, 39, 5, 47, 26, 50, 18, 46, 13, 57, 79, 54, 82, 84, 10, 47, 37, 60, 65, 31, 63, 2, 15, 83, 98, 37, 74, 69, 69, 66, 33, 91, 5, 5, 76, 31, 26, 65, 28, 2, 83, 13, 31, 66, 82, 17, 8, 40, 6, 79, 95, 68, 1, 79, 71, 77, 19, 46, 71, 81, 64, 54, 97, 98, 16, 87, 44, 99, 95, 85, 5, 10, 2, 75, 68, 2, 77, 61, 13, 49, 71, 42, 3, 28, 44, 29, 84, 8, 95, 7, 26, 60, 70, 29, 71, 6, 80, 90, 16, 36, 25, 15, 57, 95, 5, 54, 29, 28, 93, 93, 89, 59, 69, 64, 10, 96, 66, 65, 79, 17, 72, 9, 83, 37, 21, 23, 73, 30, 42, 90, 19, 85, 40, 82, 85, 70, 83, 53, 46, 28, 99, 4, 57, 57, 14, 10, 58, 51, 94, 80, 27, 21, 74, 92, 74, 9, 45, 68, 4, 41, 66, 30, 65, 79, 64, 22, 50, 58, 77, 4, 13, 94, 83, 4, 75, 62, 17, 23, 94, 77, 31, 50, 10, 59, 45, 86, 8, 94, 89, 34, 57, 5, 33, 18, 1, 67, 13, 1, 56, 61, 5, 81, 30, 57, 5, 30, 58, 18, 43, 17, 43, 24, 84, 87, 41, 2, 11, 74, 23, 97, 51, 17, 6, 2, 41, 99, 89, 70, 79, 1, 25, 52, 54, 1, 25, 19, 31, 17, 6, 7, 41, 11, 46, 4, 8, 29, 84, 75, 54, 19, 42, 26, 11, 59, 8, 71, 49, 3, 51, 32, 41, 13, 60, 81, 56, 65, 31, 64, 1, 98, 56, 72, 35, 88, 87, 28, 46, 83, 51, 80, 54, 2, 54, 51, 73, 83, 68, 52, 39, 59, 98, 51, 95, 60, 21, 59, 96, 34, 24, 38, 19, 84, 14, 31, 61, 44, 3, 61, 72, 41, 18, 1, 66, 55, 27, 22, 85, 51, 30, 63, 47, 49, 10, 60, 41, 35, 95, 78, 46, 54, 29, 94, 17, 89, 50, 44, 23, 41, 35, 18, 47, 21, 91, 69, 41, 85, 40, 63, 68, 5, 26, 83, 88, 85, 95, 97, 86, 26, 32, 65, 47, 11, 49, 60, 53, 37, 14, 45, 36, 17, 41, 85, 93, 70, 46, 83, 21, 42, 2, 84, 74, 62, 33, 48, 24, 93, 23, 55, 96, 21, 43, 23, 45, 17, 67, 10, 4, 26, 37, 64, 13, 61, 72, 37, 44, 64, 48, 91, 70, 71, 13, 78, 84, 33, 56, 11, 59, 92, 74, 98, 12, 19, 20, 38, 91, 18, 37, 13, 88, 55, 69, 16, 14, 37, 2, 88, 10, 2, 9, 58, 38, 86, 36, 89, 34, 40, 6, 84, 28, 64, 56, 38, 31, 7, 89, 53, 53, 25, 29, 31, 20, 55, 22, 40, 77, 93, 10, 63, 62, 41, 20, 92, 56, 69, 0, 2, 86, 30, 35, 56, 76, 38, 13, 8, 22, 1, 81, 80, 53, 70, 92, 84, 41, 22, 99, 13, 85, 91, 0, 81, 47, 8, 15, 83, 15, 30, 99, 91, 42, 85, 5, 70, 19, 80, 27, 67, 22, 0, 78, 46, 26, 98, 58, 2, 3, 10, 48, 62, 66, 13, 77, 52, 35, 11, 89, 45, 33, 88, 12, 83, 1, 1, 78, 17, 58, 16, 44, 42, 16, 14, 84, 60, 68, 58, 69, 88, 75, 35, 32, 31, 51, 87, 82, 31, 76, 56, 56, 43, 1, 83, 94, 28, 12, 94, 79, 2, 10, 68, 31, 38, 4, 44, 45, 18, 98, 69, 57, 84, 10, 87, 76, 83, 2, 34, 8, 91, 58, 52, 7, 41, 33, 15, 24, 52, 51, 97, 2, 65, 95, 65, 56, 80, 12, 21, 53, 4, 8, 8, 27, 0, 29, 82, 83, 74, 61, 58, 4, 4, 13, 41, 62, 79, 9, 55, 54, 30, 94, 41, 91, 16, 19, 83, 42, 72, 52, 37, 28, 26, 99, 57, 1, 16, 11, 44, 38, 9, 10, 6, 24, 34, 16, 92, 17, 92, 80, 25, 60, 35, 20, 51, 16, 81, 42, 33, 18, 57, 88, 18, 96, 13, 45, 4, 11, 60, 9, 52, 78, 75, 84, 25, 42, 19, 91, 43, 71, 83, 67, 75, 22, 79, 79, 34, 73, 65, 13, 61, 76, 38, 87, 7, 7, 68, 92, 83, 39, 33, 33, 5, 64, 68, 13, 35, 78, 54, 23, 18, 9, 14, 82, 29, 56, 62, 82, 54, 9, 80, 84, 81, 89, 73, 37, 54, 39, 54, 61, 34, 84, 6, 10, 4, 65, 51, 49, 11, 45, 11, 8, 9, 34, 13, 30, 42, 11, 28, 38, 65, 26, 63, 10, 92, 32, 27, 71, 60, 82, 92, 19, 65, 51, 28, 40, 54, 79, 7, 49, 6, 85, 30, 72, 56, 8, 40, 69, 95, 70, 97, 20, 62, 0, 72, 45, 60, 99, 37, 71, 41, 65, 87, 61, 29, 32, 3, 80, 11, 7, 69, 37, 44, 33, 80, 86, 57, 5, 51, 27, 46, 49, 9, 49, 96, 57, 41, 17, 77, 30, 18, 88, 0, 83, 69, 24, 74, 44, 49, 27, 77, 17, 41, 38, 90, 90, 40, 3, 39, 92, 13, 35, 62, 72, 80, 83, 46, 24, 57, 42, 50, 43, 18, 19, 38, 63, 54, 57, 86, 73, 53, 84, 30, 76, 93, 84, 86, 33, 45, 39, 98, 2, 88, 1, 7, 24, 71, 81, 36, 51, 33, 90, 8, 71, 79, 24, 32, 57, 76, 30, 33, 39, 81, 97, 13, 43, 44, 50, 27, 55, 75, 9, 69, 73, 75, 92, 0, 79, 81, 30, 86, 46, 37, 79, 83, 65, 54, 80, 87, 62, 2, 69, 81, 31, 69, 91, 69, 26, 67, 39, 85, 39, 60, 21, 91, 18, 89, 28, 76, 74, 14, 68, 60, 64, 50, 30, 86, 81, 63, 21, 96, 96, 17, 89, 63, 35, 17, 3, 42, 24, 57, 67, 29, 90, 56, 86, 82, 89, 36, 12, 3, 5, 33, 91, 51, 72, 34, 87, 47, 35, 82, 43, 13, 52, 10, 21, 75, 34, 18, 1, 56, 59, 96, 8, 48, 69, 46, 49, 87, 76, 72, 43, 23, 87, 19, 0, 76, 1, 94, 39, 9, 49, 85, 67, 74, 40, 98, 75, 69, 53, 32, 74, 47, 8, 46, 79, 46, 51, 13, 53, 73, 89, 94, 13, 55, 81, 71, 3, 4, 20, 26, 35, 11, 1, 88, 32, 14, 23, 57, 8, 54, 1, 55, 51, 98, 72, 81, 14, 99, 63, 48, 47, 88, 46, 26, 15, 47, 64, 80, 47, 56, 36, 59, 65, 91, 57, 92, 31, 29, 61, 30, 86, 61, 48, 38, 24, 72, 73, 83, 68, 15, 45, 25, 67, 86, 10, 57, 80, 77, 11, 44, 11, 63, 38, 19, 19, 3, 84, 58, 6, 68, 11, 19, 93, 54, 35, 19, 48, 65, 92, 75, 43, 52, 97, 34, 40, 25, 57, 22, 48, 41, 48, 5, 3, 40, 27, 56, 56, 70, 33, 3, 80, 96, 49, 66, 83, 59, 36, 49, 61, 11, 17, 76, 97, 56, 47, 32, 69, 42, 36, 51, 45, 69, 25, 21, 49, 28, 47, 89, 76, 64, 7, 91, 3, 25, 10, 76, 68, 69, 27, 23, 34, 87, 95, 25, 77, 96, 8, 64, 72, 9, 14, 64, 66, 6, 67, 36, 23, 68, 80, 70, 97, 60, 99, 72, 36, 17, 91, 63, 17, 43, 0, 6, 17, 12, 19, 41, 47, 98, 80, 82, 9, 35, 71, 16, 40, 14, 95, 56, 73, 12, 84, 68, 38, 87, 13, 54, 28, 35, 15, 23, 98, 32, 82, 58, 56, 52, 7, 37, 95, 56, 5, 31, 74, 39, 39, 16, 6, 13, 48, 58, 19, 79, 83, 36, 87, 73, 70, 88, 37, 30, 63, 33, 84, 54, 40, 79, 10, 51, 60, 61, 79, 1, 7, 42, 36, 83, 88, 22, 42, 56, 84, 30, 53, 71, 43, 62, 70, 39, 8, 44, 18, 5, 82, 4, 32, 82, 7, 62, 45, 83, 60, 97, 32, 86, 14, 89, 99, 14, 29, 89, 36, 10, 91, 1, 94, 5, 0, 40, 81, 17, 1, 93, 82, 72, 77, 64, 44, 32, 66, 82, 35, 54, 98, 55, 91, 75, 58, 6, 41, 9, 19, 78, 68, 43, 70, 35, 73, 82, 17, 30, 98, 40, 55, 19, 7, 17, 46, 24, 68, 7, 15, 78, 4, 2, 34, 90, 53, 8, 55, 77, 13, 5, 26, 28, 39, 81, 28, 35, 2, 73, 82, 31, 95, 97, 37, 14, 65, 39, 6, 36, 57, 68, 39, 33, 32, 86, 5, 41, 33, 40, 4, 77, 62, 59, 21, 40, 56, 89, 98, 31, 88, 43, 21, 75, 45, 45, 75, 88, 38, 23, 17, 33, 60, 95, 58, 49, 8, 85, 52, 35, 38, 80, 73, 75, 91, 22, 78, 69, 38, 84, 60, 16, 98, 18, 10, 30, 93, 83, 83, 35, 31, 19, 23, 87, 44, 16, 59, 32, 73, 68, 92, 22, 60, 56, 36, 41, 82, 90, 4, 17, 3, 91, 37, 43, 7, 7, 40, 67, 11, 66, 70, 59, 43, 83, 48, 18, 1, 55, 18, 50, 21, 58, 13, 26, 75, 72, 93, 68, 57, 54, 54, 44, 40, 36, 69, 53, 56, 16, 28, 50, 19, 75, 74, 53, 83, 29, 5, 94, 12, 1, 90, 74, 82, 9, 28, 36, 63, 53, 73, 41, 22, 83, 35, 34, 57, 17, 98, 55, 17, 49, 72, 78, 87, 98, 96, 33, 50, 17, 92, 60, 97, 65, 29, 76, 12, 61, 49, 25, 31, 96, 98, 6, 88, 71, 36, 53, 8, 27, 23, 32, 0, 83, 78, 19, 96, 14, 87, 48, 38, 69, 93, 94, 70, 63, 80, 7, 93, 93, 35, 80, 66, 40, 22, 31, 59, 83, 54, 72, 53, 28, 75, 44, 72, 86, 18, 19, 88, 52, 41, 32, 64, 20, 47, 58, 81, 46, 46, 32, 11, 26, 51, 15, 47, 28, 85, 44, 38, 18, 95, 61, 2, 30, 17, 65, 73, 0, 6, 70, 95, 95, 98, 68, 40, 60, 87, 68, 83, 9, 21, 62, 46, 4, 92, 57, 72, 3, 84, 47, 39, 25, 17, 52, 52, 87, 42, 40, 77, 32, 32, 23, 28, 93, 87, 72, 24, 16, 43, 42, 16, 61, 92, 95, 5, 10, 50, 85, 21, 3, 73, 75, 74, 67, 47, 61, 25, 99, 64, 29, 48, 44, 82, 68, 54, 6, 16, 74, 39, 30, 96, 96, 51, 66, 54, 98, 76, 38, 34, 84, 15, 16, 57, 77, 4, 69, 60, 58, 54, 89, 63, 81, 4, 15, 70, 62, 76, 27, 44, 69, 45, 36, 10, 61, 33, 48, 15, 70, 43, 38, 72, 74, 28, 14, 76, 50, 40, 14, 20, 84, 93, 30, 55, 83, 24, 87, 15, 47, 24, 94, 39, 15, 56, 81, 46, 48, 65, 65, 59, 95, 33, 82, 34, 55, 12, 24, 92, 82, 95, 33, 58, 56, 44, 66, 81, 24, 81, 16, 82, 10, 26, 14, 86, 56, 97, 67, 61, 30, 7, 96, 80, 44, 0, 20, 13, 15, 46, 99, 34, 79, 95, 93, 20, 11, 26, 36, 98, 85, 38, 26, 49, 28, 59, 34, 65, 88, 67, 72, 49, 4, 84, 29, 48, 39, 34, 54, 33, 19, 44, 28, 91, 79, 76, 57, 10, 13, 6, 81, 27, 0, 41, 76, 71, 20, 24, 96, 11, 60, 44, 28, 4, 63, 14, 81, 67, 50, 56, 30, 67, 17, 76, 54, 61, 50, 15, 26, 16, 20, 17, 59, 37, 45, 25, 8, 53, 53, 12, 95, 10, 55, 11, 83, 41, 79, 53, 20, 66, 10, 75, 31, 4, 64, 51, 8, 18, 87, 49, 84, 59, 40, 67, 29, 80, 75, 38, 28, 48, 79, 73, 40, 6, 42, 35, 65, 30, 58, 10, 53, 70, 1, 19, 76, 82, 84, 52, 2, 4, 37, 76, 5, 87, 1, 52, 38, 4, 5, 61, 49, 37, 32, 42, 33, 71, 44, 52, 44, 29, 45, 48, 57, 69, 56, 14, 17, 49, 36, 88, 19, 44, 15, 87, 33, 81, 68, 56, 38, 78, 86, 33, 55, 48, 63, 90, 77, 12, 85, 69, 92, 30, 21, 61, 3, 0, 1, 38, 19, 74, 20, 55, 93, 23, 2, 84, 55, 57, 58, 76, 80, 44, 62, 20, 51, 68, 24, 45, 13, 12, 11, 23, 35, 15, 57, 68, 73, 57, 25, 20, 95, 41, 79, 68, 86, 65, 59, 9, 64, 31, 45, 44, 79, 90, 76, 90, 20, 94, 36, 73, 80, 76, 15, 37, 55, 0, 70, 4, 53, 24, 6, 9, 35, 76, 49, 20, 53, 70, 70, 73, 82, 30, 90, 5, 81, 80, 17, 58, 95, 59, 45, 7, 54, 91, 45, 66, 46, 92, 8, 2, 70, 13, 74, 13, 53, 35, 38, 71, 80, 3, 33, 87, 42, 3, 40, 51, 49, 43, 45, 2, 46, 14, 20, 35, 56, 54, 36, 85, 1, 50, 20, 19, 74, 35, 9, 85, 68, 60, 32, 13, 45, 49, 19, 43, 44, 64, 20, 74, 2, 7, 92, 99, 3, 53, 1, 7, 38, 99, 51, 95, 75, 92, 46, 11, 2, 25, 32, 58, 3, 43, 15, 5, 55, 42, 78, 20, 53, 3, 60, 49, 80, 35, 57, 31, 55, 58, 6, 64, 72, 3, 22, 54, 27, 22, 93, 13, 74, 67, 31, 11, 17, 58, 79, 54, 10, 2, 73, 53, 45, 43, 30, 5, 25, 32, 58, 27, 67, 6, 98, 39, 25, 63, 82, 82, 52, 6, 66, 12, 22, 11, 57, 96, 0, 44, 44, 87, 28, 70, 81, 48, 50, 66, 95, 26, 2, 81, 70, 43, 57, 61, 50, 66, 54, 18, 22, 43, 88, 11, 0, 17, 99, 13, 96, 32, 67, 71, 29, 15, 62, 87, 39, 74, 8, 54, 7, 14, 76, 75, 85, 75, 15, 54, 80, 19, 90, 16, 39, 46, 7, 0, 89, 70, 96, 26, 56, 52, 49, 78, 98, 79, 50, 4, 38, 19, 22, 19, 56, 55, 42, 81, 3, 3, 11, 5, 2, 96, 35, 46, 25, 62, 19, 29, 79, 51, 27, 28, 55, 35, 84, 65, 42, 16, 57, 23, 60, 56, 2, 39, 74, 30, 83, 3, 81, 23, 11, 90, 62, 8, 55, 80, 37, 37, 95, 3, 78, 69, 96, 99, 30, 88, 17, 0, 80, 19, 5, 82, 38, 31, 90, 71, 54, 3, 11, 39, 68, 93, 75, 38, 41, 28, 17, 52, 51, 66, 22, 78, 83, 32, 86, 29, 17, 14, 44, 24, 32, 8, 1, 79, 90, 4, 19, 10, 0, 87, 21, 42, 66, 75, 65, 98, 47, 16, 16, 22, 71, 31, 9, 79, 37, 91, 22, 9, 7, 55, 85, 16, 62, 27, 35, 64, 43, 69, 6, 30, 27, 38, 20, 24, 49, 81, 22, 1, 75, 14, 18, 93, 23, 81, 23, 1, 55, 92, 45, 9, 15, 86, 91, 72, 15, 6, 65, 78, 0, 14, 74, 57, 46, 94, 79, 33, 74, 79, 95, 43, 12, 76, 48, 10, 11, 96, 61, 42, 35, 72, 57, 20, 10, 76, 55, 7, 29, 97, 64, 20, 19, 19, 74, 43, 54, 82, 32, 1, 86, 10, 66, 84, 71, 5, 46, 95, 58, 97, 65, 35, 13, 96, 3, 16, 10, 2, 4, 52, 63, 87, 71, 49, 58, 4, 89, 60, 27, 16, 13, 50, 24, 72, 94, 54, 7, 65, 92, 53, 2, 31, 93, 78, 66, 98, 58, 15, 71, 97, 65, 91, 87, 10, 6, 1, 41, 35, 34, 63, 3, 77, 87, 76, 74, 69, 30, 56, 17, 29, 63, 8, 7, 37, 94, 70, 22, 10, 64, 84, 1, 41, 78, 60, 19, 32, 3, 87, 14, 81, 14, 73, 71, 55, 73, 34, 64, 53, 21, 38, 27, 0, 8, 1, 77, 5, 71, 80, 84, 77, 72, 99, 72, 85, 76, 2, 48, 93, 48, 3, 89, 13, 78, 29, 87, 56, 90, 44, 57, 62, 37, 34, 83, 62, 90, 55, 22, 44, 43, 69, 26, 24, 90, 20, 38, 63, 17, 29, 46, 8, 97, 18, 40, 20, 57, 23, 14, 27, 15, 8, 46, 17, 1, 29, 73, 89, 95, 40, 4, 95, 59, 74, 69, 31, 88, 38, 38, 60, 52, 12, 84, 40, 52, 88, 49, 50, 37, 93, 97, 40, 21, 27, 28, 97, 68, 38, 6, 61, 89, 19, 76, 76, 65, 7, 49, 7, 86, 38, 35, 93, 50, 16, 16, 85, 70, 68, 73, 52, 12, 84, 12, 0, 62, 83, 82, 93, 1, 98, 24, 61, 32, 97, 93, 13, 40, 91, 98, 30, 32, 21, 25, 6, 88, 89, 25, 21, 43, 42, 30, 64, 88, 65, 64, 11, 16, 74, 86, 31, 89, 31, 78, 43, 72, 40, 30, 45, 8, 11, 37, 3, 95, 67, 83, 42, 54, 71, 58, 11, 56, 83, 80, 28, 65, 89, 62, 7, 12, 46, 92, 7, 93, 83, 24, 29, 24, 78, 15, 0, 38, 91, 55, 87, 56, 60, 29, 9, 1, 37, 91, 14, 41, 89, 37, 3, 95, 1, 69, 84, 15, 82, 31, 13, 80, 88, 36, 33, 86, 29, 95, 4, 75, 29, 72, 0, 11, 21, 87, 72, 84, 32, 61, 80, 15, 58, 87, 83, 48, 65, 67, 28, 96, 80, 0, 65, 19, 86, 82, 65, 32, 82, 32, 75, 7, 80, 85, 12, 14, 54, 48, 11, 6, 28, 44, 34, 87, 76, 80, 75, 45, 7, 51, 8, 90, 44, 53, 10, 95, 31, 5, 99, 78, 86, 25, 59, 96, 71, 98, 71, 18, 70, 38, 56, 31, 21, 58, 71, 46, 68, 58, 43, 54, 39, 24, 67, 54, 66, 50, 99, 85, 79, 39, 43, 92, 78, 56, 24, 48, 49, 34, 77, 49, 35, 15, 94, 26, 81, 24, 42, 14, 56, 14, 44, 4, 44, 50, 29, 98, 85, 16, 66, 2, 10, 42, 28, 45, 89, 67, 13, 4, 98, 32, 17, 85, 64, 49, 25, 8, 60, 2, 73, 47, 7, 87, 80, 84, 84, 18, 56, 95, 13, 73, 35, 62, 68, 12, 15, 10, 5, 41, 75, 77, 11, 64, 81, 37, 60, 8, 10, 82, 36, 75, 40, 94, 4, 13, 27, 5, 82, 47, 31, 13, 3, 93, 45, 27, 75, 33, 28, 99, 64, 35, 61, 52, 32, 89, 2, 49, 41, 4, 24, 1, 87, 38, 43, 30, 15, 35, 15, 46, 51, 3, 3, 28, 70, 23, 47, 58, 58, 94, 40, 93, 71, 80, 17, 16, 57, 1, 52, 71, 61, 8, 83, 55, 41, 52, 60, 51, 61, 25, 70, 30, 67, 4, 80, 47, 8, 91, 63, 15, 2, 11, 60, 19, 12, 93, 19, 60, 20, 80, 52, 62, 45, 23, 46, 28, 80, 65, 16, 57, 36, 51, 80, 18, 24, 77, 7, 50, 66, 26, 46, 34, 76, 37, 94, 58, 42, 84, 91, 27, 88, 9, 43, 29, 28, 96, 93, 28, 62, 44, 70, 34, 94, 75, 47, 65, 9, 63, 59, 11, 40, 96, 73, 64, 52, 37, 51, 29, 28, 29, 35, 97, 44, 36, 75, 31, 85, 88, 71, 20, 15, 87, 59, 44, 54, 52, 79, 10, 85, 32, 28, 56, 17, 86, 3, 96, 12, 79, 52, 1, 36, 12, 1, 87, 40, 20, 74, 67, 31, 19, 22, 2, 19, 99, 95, 43, 48, 46, 93, 11, 43, 80, 83, 46, 75, 44, 40, 37, 43, 72, 78, 21, 98, 93, 7, 14, 40, 88, 35, 22, 58, 84, 96, 35, 52, 97, 61, 47, 1, 68, 93, 95, 19, 83, 76, 15, 8, 19, 25, 80, 57, 51, 12, 16, 50, 40, 63, 40, 42, 90, 55, 98, 47, 15, 85, 88, 89, 95, 70, 53, 75, 25, 0, 59, 67, 55, 92, 63, 50, 67, 47, 43, 35, 49, 54, 57, 76, 29, 94, 89, 2, 43, 79, 92, 91, 59, 51, 16, 89, 82, 24, 2, 69, 68, 30, 50, 42, 50, 47, 45, 33, 25, 35, 78, 51, 80, 0, 91, 58, 63, 9, 99, 96, 7, 42, 80, 83, 40, 71, 11, 23, 92, 58, 14, 49, 9, 43, 57, 84, 34, 12, 5, 95, 23, 97, 1, 43, 92, 65, 33, 27, 38, 52, 52, 18, 10, 22, 23, 95, 55, 40, 13, 61, 17, 26, 70, 42, 12, 47, 36, 76, 8, 60, 92, 32, 61, 77, 79, 80, 24, 38, 30, 87, 60, 10, 42, 34, 11, 45, 16, 59, 48, 11, 17, 56, 86, 65, 50, 38, 15, 7, 77, 52, 54, 48, 76, 87, 31, 1, 18, 80, 54, 40, 43, 15, 24, 90, 27, 45, 17, 23, 9, 70, 34, 35, 82, 14, 60, 16, 1, 40, 72, 86, 38, 25, 85, 39, 79, 24, 55, 86, 58, 83, 76, 37, 62, 41, 25, 68, 22, 14, 87, 24, 5, 83, 47, 0, 99, 58, 47, 15, 89, 47, 34, 4, 28, 96, 35, 67, 2, 62, 26, 75, 34, 16, 39, 60, 11, 17, 17, 23, 54, 81, 33, 13, 44, 75, 71, 54, 21, 38, 36, 74, 85, 10, 27, 86, 84, 82, 48, 29, 25, 40, 49, 89, 11, 58, 98, 71, 3, 16, 31, 26, 84, 85, 90, 11, 73, 87, 9, 36, 99, 36, 24, 67, 63, 89, 1, 34, 71, 78, 2, 20, 33, 32, 50, 87, 74, 24, 75, 55, 38, 32, 80, 86, 13, 85, 60, 17, 65, 77, 7, 29, 23, 40, 61, 54, 20, 99, 54, 53, 26, 31, 84, 49, 29, 67, 78, 30, 8, 57, 51, 18, 80, 44, 66, 13, 46, 76, 52, 51, 8, 73, 99, 5, 28, 56, 35, 69, 91, 11, 17, 35, 62, 88, 58, 26, 35, 7, 71, 76, 73, 98, 82, 42, 13, 21, 28, 43, 97, 37, 16, 2, 58, 58, 11, 47, 6, 89, 66, 21, 62, 28, 10, 10, 18, 18, 44, 46, 24, 81, 54, 84, 15, 45, 80, 89, 69, 23, 8, 59, 12, 47, 14, 73, 74, 40, 3, 24, 69, 7, 69, 8, 37, 8, 34, 64, 57, 64, 80, 96, 13, 38, 64, 8, 94, 93, 43, 52, 81, 76, 41, 46, 66, 87, 46, 72, 89, 82, 34, 33, 47, 23, 90, 34, 52, 80, 26, 80, 92, 11, 4, 45, 34, 8, 8, 95, 69, 66, 29, 91, 71, 95, 93, 87, 48, 26, 30, 74, 62, 58, 33, 46, 7, 60, 32, 7, 1, 89, 75, 47, 73, 71, 60, 21, 47, 76, 2, 52, 63, 83, 66, 44, 97, 82, 1, 59, 78, 47, 54, 2, 2, 36, 17, 51, 67, 19, 12, 82, 48, 50, 86, 39, 78, 5, 72, 52, 78, 47, 36, 14, 79, 79, 73, 80, 8, 77, 45, 99, 10, 53, 37, 18, 37, 53, 22, 93, 58, 52, 87, 8, 68, 73, 86, 73, 15, 89, 74, 24, 42, 48, 10, 24, 42, 70, 32, 38, 92, 70, 19, 83, 75, 13, 39, 71, 78, 1, 67, 86, 5, 52, 14, 99, 23, 2, 3, 49, 39, 0, 79, 10, 97, 68, 53, 69, 44, 90, 12, 15, 83, 8, 84, 81, 76, 1, 89, 73, 6, 40, 91, 49, 90, 22, 99, 26, 82, 88, 88, 9, 44, 90, 55, 67, 41, 6, 53, 92, 22, 65, 17, 84, 39, 46, 48, 17, 94, 49, 34, 51, 60, 35, 82, 59, 12, 8, 5, 97, 7, 38, 14, 52, 54, 13, 20, 76, 14, 33, 28, 78, 0, 65, 28, 31, 19, 33, 9, 31, 2, 46, 91, 54, 82, 77, 5, 60, 1, 60, 58, 19, 15, 84, 54, 81, 91, 72, 62, 55, 86, 74, 7, 94, 82, 14, 94, 11, 98, 73, 61, 16, 15, 10, 93, 96, 30, 3, 43, 82, 74, 51, 31, 12, 36, 6, 45, 63, 3, 80, 8, 93, 22, 4, 93, 48, 68, 31, 20, 34, 68, 34, 78, 47, 86, 87, 67, 33, 20, 7, 91, 50, 56, 86, 67, 8, 8, 38, 31, 8, 0, 69, 82, 48, 49, 70, 15, 65, 94, 56, 65, 9, 76, 44, 47, 76, 42, 92, 16, 64, 12, 12, 82, 10, 7, 3, 44, 26, 42, 41, 59, 97, 56, 25, 89, 64, 70, 12, 45, 59, 9, 2, 41, 18, 68, 31, 90, 41, 88, 11, 37, 93, 33, 22, 63, 51, 79, 93, 55, 74, 17, 70, 60, 10, 14, 39, 57, 10, 39, 9, 98, 16, 67, 48, 76, 50, 78, 96, 94, 30, 96, 34, 12, 47, 83, 32, 17, 66, 39, 42, 30, 65, 86, 34, 50, 85, 81, 91, 72, 99, 51, 19, 91, 82, 69, 1, 69, 89, 99, 63, 58, 27, 48, 72, 56, 52, 78, 62, 34, 30, 89, 28, 10, 70, 71, 82, 20, 75, 89, 20, 56, 9, 25, 64, 97, 79, 62, 75, 69, 53, 52, 75, 59, 65, 64, 81, 2, 6, 51, 32, 62, 59, 79, 1, 35, 25, 60, 34, 79, 76, 58, 6, 79, 72, 33, 61, 74, 82, 11, 70, 13, 92, 83, 1, 3, 20, 86, 76, 26, 77, 29, 51, 34, 20, 26, 95, 55, 76, 37, 26, 93, 5, 39, 65, 27, 25, 86, 95, 42, 2, 24, 56, 55, 11, 27, 92, 79, 25, 26, 10, 3, 20, 57, 4, 39, 97, 30, 63, 38, 18, 1, 57, 30, 68, 41, 20, 25, 87, 78, 41, 97, 32, 36, 86, 64, 9, 9, 10, 51, 27, 80, 8, 82, 39, 18, 30, 99, 41, 17, 68, 11, 2, 98, 9, 60, 4, 6, 18, 8, 18, 43, 52, 96, 17, 27, 94, 47, 65, 41, 14, 8, 9, 36, 8, 92, 99, 45, 9, 31, 70, 14, 99, 71, 8, 40, 95, 74, 2, 42, 77, 95, 15, 89, 56, 40, 26, 0, 77, 27, 64, 33, 48, 76, 36, 2, 4, 59, 51, 20, 10, 54, 72, 92, 1, 37, 55, 82, 99, 33, 4, 52, 87, 93, 26, 16, 96, 44, 95, 3, 74, 0, 74, 42, 89, 54, 61, 15, 98, 67, 59, 22, 37, 75, 1, 57, 24, 69, 62, 99, 43, 63, 40, 95, 72, 37, 43, 92, 88, 98, 33, 14, 66, 30, 33, 72, 42, 82, 52, 99, 22, 57, 85, 17, 56, 63, 86, 59, 43, 9, 41, 52, 22, 47, 54, 29, 72, 47, 38, 97, 24, 87, 78, 27, 34, 59, 26, 49, 3, 95, 95, 31, 11, 65, 92, 6, 1, 97, 54, 82, 30, 0, 65, 10, 72, 28, 42, 62, 87, 64, 29, 97, 78, 61, 94, 0, 5, 28, 91, 94, 0, 50, 22, 87, 20, 96, 16, 41, 89, 80, 4, 34, 82, 94, 81, 15, 2, 75, 69, 94, 11, 78, 19, 22, 7, 37, 86, 34, 82, 22, 35, 84, 52, 30, 94, 27, 64, 86, 35, 25, 24, 34, 96, 90, 56, 54, 12, 69, 86, 4, 67, 29, 25, 47, 26, 5, 72, 69, 59, 53, 9, 68, 91, 81, 47, 84, 54, 26, 19, 85, 17, 0, 54, 37, 33, 83, 43, 75, 61, 8, 89, 25, 83, 52, 69, 38, 71, 62, 66, 36, 22, 29, 81, 67, 65, 22, 93, 38, 78, 10, 10, 26, 83, 37, 21, 59, 53, 99, 42, 44, 31, 2, 17, 17, 79, 91, 61, 36, 70, 68, 79, 54, 64, 51, 84, 13, 37, 53, 49, 23, 91, 91, 74, 13, 87, 12, 13, 83, 87, 51, 38, 79, 49, 97, 95, 74, 6, 48, 87, 36, 27, 47, 79, 76, 44, 34, 41, 35, 55, 46, 39, 54, 50, 75, 58, 17, 32, 92, 57, 67, 38, 1, 67, 43, 10, 93, 40, 80, 63, 66, 81, 2, 17, 20, 44, 76, 7, 95, 61, 6, 38, 47, 82, 89, 67, 21, 6, 8, 56, 49, 33, 23, 46, 87, 8, 70, 34, 34, 14, 21, 70, 25, 14, 56, 45, 96, 53, 19, 73, 55, 70, 70, 19, 90, 36, 36, 13, 36, 21, 36, 81, 46, 92, 2, 46, 81, 21, 30, 91, 8, 34, 12, 42, 8, 21, 14, 44, 11, 13, 7, 6, 91, 77, 26, 54, 47, 68, 19, 86, 78, 28, 19, 13, 12, 20, 3, 44, 99, 71, 97, 97, 2, 81, 26, 25, 68, 25, 38, 54, 20, 0, 25, 39, 28, 20, 89, 35, 53, 30, 59, 25, 24, 23, 77, 10, 60, 36, 16, 60, 9, 30, 57, 37, 62, 76, 25, 99, 38, 16, 75, 12, 99, 68, 50, 12, 5, 25, 52, 63, 48, 36, 73, 27, 56, 20, 88, 87, 56, 88, 79, 9, 7, 48, 14, 43, 7, 69, 65, 70, 83, 59, 88, 9, 49, 55, 90, 97, 62, 11, 21, 91, 22, 36, 52, 2, 74, 18, 26, 61, 3, 80, 92, 22, 22, 51, 78, 66, 52, 43, 81, 94, 33, 36, 92, 23, 46, 22, 47, 65, 24, 6, 28, 65, 20, 76, 61, 0, 16, 91, 12, 75, 6, 23, 75, 99, 76, 93, 18, 58, 42, 48, 55, 14, 45, 32, 99, 32, 99, 24, 36, 25, 45, 42, 98, 42, 92, 54, 61, 90, 43, 31, 78, 58, 69, 99, 5, 83, 75, 98, 75, 79, 99, 17, 3, 15, 42, 83, 73, 35, 90, 73, 68, 49, 92, 21, 66, 67, 28, 83, 80, 56, 2, 24, 37, 88, 25, 44, 15, 97, 93, 60, 86, 5, 61, 22, 3, 3, 33, 30, 64, 8, 14, 18, 97, 62, 50, 4, 87, 8, 33, 37, 9, 89, 6, 36, 86, 81, 38, 85, 54, 20, 69, 21, 12, 77, 72, 75, 51, 88, 12, 21, 23, 37, 25, 26, 23, 97, 46, 41, 30, 15, 28, 68, 79, 1, 5, 36, 37, 25, 3, 23, 48, 42, 28, 13, 52, 67, 74, 55, 66, 55, 8, 60, 73, 52, 45, 95, 50, 47, 12, 85, 47, 60, 92, 22, 29, 6, 23, 24, 99, 5, 46, 54, 62, 58, 28, 6, 85, 52, 58, 13, 83, 91, 86, 63, 42, 55, 21, 10, 51, 67, 49, 5, 50, 27, 0, 31, 9, 54, 54, 19, 73, 80, 76, 22, 83, 69, 23, 78, 40, 42, 31, 49, 39, 38, 68, 75, 23, 19, 76, 48, 39, 92, 36, 27, 34, 42, 36, 88, 38, 61, 20, 92, 55, 49, 90, 68, 38, 37, 51, 83, 71, 18, 98, 70, 79, 98, 6, 91, 10, 37, 41, 56, 70, 26, 95, 73, 37, 96, 43, 52, 55, 6, 73, 85, 97, 76, 93, 70, 60, 27, 65, 45, 61, 27, 12, 52, 90, 98, 98, 56, 80, 87, 3, 32, 68, 61, 67, 78, 47, 17, 40, 79, 70, 73, 63, 22, 73, 71, 25, 2, 30, 57, 61, 33, 49, 83, 51, 50, 28, 96, 5, 92, 67, 37, 18, 92, 16, 21, 19, 86, 57, 79, 76, 59, 37, 42, 0, 64, 65, 96, 7, 56, 44, 62, 17, 34, 49, 96, 82, 21, 24, 45, 33, 33, 72, 10, 81, 74, 87, 10, 43, 3, 56, 89, 48, 51, 26, 62, 11, 83, 19, 30, 10, 28, 12, 77, 71, 78, 37, 86, 75, 76, 63, 61, 17, 68, 30, 7, 40, 71, 19, 59, 71, 39, 13, 18, 57, 74, 48, 72, 24, 37, 73, 12, 68, 27, 94, 21, 78, 16, 12, 0, 35, 18, 39, 27, 27, 87, 96, 88, 87, 38, 26, 98, 99, 99, 54, 88, 77, 73, 29, 73, 91, 74, 3, 24, 7, 30, 6, 19, 8, 27, 59, 45, 23, 67, 77, 73, 98, 8, 79, 24, 4, 9, 37, 26, 21, 2, 7, 52, 42, 62, 11, 18, 77, 7, 52, 98, 13, 35, 75, 26, 7, 26, 62, 48, 36, 58, 14, 28, 14, 97, 20, 59, 20, 69, 64, 14, 43, 9, 71, 91, 13, 70, 13, 65, 45, 95, 65, 8, 76, 86, 17, 87, 95, 98, 61, 37, 35, 59, 63, 16, 49, 68, 42, 4, 45, 56, 16, 79, 1, 1, 31, 2, 42, 57, 27, 25, 24, 14, 92, 59, 24, 78, 43, 83, 60, 11, 54, 80, 40, 9, 98, 50, 99, 23, 11, 23, 87, 73, 2, 33, 62, 84, 37, 18, 74, 95, 48, 42, 20, 95, 8, 95, 62, 19, 3, 64, 60, 54, 0, 39, 73, 22, 46, 63, 59, 47, 55, 18, 91, 81, 1, 3, 48, 88, 5, 83, 79, 50, 86, 22, 21, 65, 2, 70, 46, 98, 5, 85, 25, 7, 9, 76, 25, 86, 2, 43, 58, 36, 42, 51, 83, 22, 69, 72, 25, 57, 54, 11, 77, 11, 92, 69, 7, 49, 60, 10, 55, 11, 14, 96, 90, 20, 36, 2, 45, 67, 9, 23, 67, 93, 11, 70, 6, 85, 57, 4, 91, 9, 38, 32, 47, 26, 81, 95, 52, 45, 11, 1, 38, 61, 97, 84, 60, 89, 91, 70, 65, 24, 24, 74, 70, 19, 74, 77, 10, 51, 41, 65, 6, 44, 76, 83, 12, 36, 94, 95, 63, 77, 7, 84, 10, 71, 62, 10, 94, 14, 88, 11, 2, 53, 60, 91, 8, 1, 77, 17, 64, 56, 67, 69, 78, 8, 20, 60, 83, 2, 24, 79, 77, 97, 68, 10, 39, 3, 81, 55, 69, 88, 20, 69, 36, 8, 7, 11, 80, 69, 66, 48, 18, 39, 46, 82, 72, 96, 46, 78, 32, 92, 48, 82, 6, 70, 48, 72, 10, 34, 10, 96, 42, 83, 4, 87, 44, 80, 79, 98, 38, 53, 10, 93, 44, 43, 52, 83, 95, 95, 41, 92, 11, 98, 60, 83, 58, 53, 92, 29, 92, 45, 84, 88, 54, 44, 2, 28, 33, 53, 18, 98, 27, 60, 78, 29, 45, 83, 82, 44, 20, 17, 57, 64, 46, 67, 27, 26, 94, 86, 36, 21, 61, 71, 69, 74, 33, 43, 66, 95, 97, 59, 34, 23, 81, 62, 65, 14, 2, 23, 82, 85, 99, 56, 51, 13, 23, 42, 60, 31, 97, 53, 15, 61, 50, 11, 48, 2, 57, 56, 99, 4, 79, 84, 58, 67, 52, 2, 96, 93, 83, 50, 79, 54, 92, 33, 98, 16, 2, 83, 21, 56, 71, 27, 30, 21, 34, 93, 18, 23, 10, 4, 2, 66, 14, 64, 88, 90, 12, 89, 76, 66, 40, 25, 20, 59, 19, 68, 42, 48, 56, 67, 47, 74, 24, 16, 16, 49, 14, 76, 84, 20, 84, 41, 70, 39, 46, 16, 72, 57, 55, 3, 43, 84, 63, 79, 64, 13, 69, 63, 17, 72, 6, 58, 56, 67, 12, 46, 59, 61, 9, 30, 30, 34, 20, 89, 15, 84, 64, 76, 99, 35, 82, 26, 57, 51, 8, 43, 75, 52, 92, 57, 98, 57, 6, 18, 86, 32, 93, 76, 80, 31, 15, 70, 80, 2, 49, 24, 6, 16, 99, 38, 32, 9, 96, 85, 86, 5, 69, 59, 12, 67, 53, 45, 6, 96, 2, 28, 3, 19, 50, 74, 22, 19, 81, 52, 74, 47, 2, 9, 95, 41, 77, 17, 6, 4, 15, 78, 94, 16, 4, 37, 7, 17, 48, 36, 95, 54, 57, 25, 86, 92, 24, 43, 34, 65, 82, 86, 94, 96, 68, 76, 49, 68, 47, 96, 71, 57, 67, 50, 69, 50, 82, 90, 36, 78, 83, 83, 11, 60, 94, 50, 66, 89, 59, 41, 18, 63, 51, 39, 25, 8, 10, 70, 91, 62, 8, 28, 88, 71, 68, 97, 36, 73, 31, 44, 60, 97, 99, 94, 74, 71, 46, 67, 52, 53, 16, 75, 1, 7, 4, 30, 3, 33, 17, 46, 12, 39, 21, 13, 2, 60, 65, 23, 7, 68, 57, 41, 16, 23, 40, 86, 17, 76, 89, 13, 94, 79, 44, 8, 85, 44, 97, 24, 59, 20, 2, 20, 3, 25, 65, 14, 92, 40, 47, 65, 55, 62, 57, 27, 52, 22, 65, 47, 6, 93, 73, 88, 31, 11, 82, 67, 91, 73, 94, 14, 16, 93, 63, 71, 17, 74, 57, 12, 3, 3, 80, 91, 81, 40, 1, 35, 38, 29, 52, 63, 28, 27, 0, 32, 56, 52, 16, 17, 43, 24, 98, 20, 13, 63, 30, 59, 32, 19, 48, 42, 91, 79, 9, 10, 9, 75, 10, 52, 57, 18, 94, 93, 83, 86, 59, 54, 39, 65, 36, 4, 5, 52, 46, 70, 5, 80, 88, 29, 66, 30, 78, 97, 18, 20, 62, 35, 63, 29, 75, 15, 94, 79, 81, 92, 2, 46, 19, 9, 87, 70, 4, 94, 11, 22, 20, 18, 59, 54, 77, 69, 78, 73, 49, 38, 58, 15, 24, 76, 52, 57, 11, 47, 52, 85, 34, 69, 6, 91, 86, 74, 63, 91, 61, 19, 58, 76, 35, 42, 3, 13, 51, 15, 55, 34, 0, 20, 40, 0, 68, 99, 38, 89, 5, 83, 26, 73, 81, 34, 3, 84, 34, 86, 3, 86, 59, 1, 27, 19, 20, 6, 58, 64, 35, 94, 56, 92, 63, 21, 9, 93, 71, 57, 40, 83, 73, 4, 77, 57, 91, 97, 30, 2, 55, 12, 97, 63, 29, 40, 40, 62, 6, 74, 95, 48, 12, 47, 99, 80, 89, 28, 27, 71, 92, 10, 35, 90, 37, 55, 53, 91, 18, 85, 95, 87, 67, 43, 84, 85, 57, 97, 49, 94, 17, 13, 61, 98, 63, 66, 64, 35, 21, 46, 64, 99, 23, 24, 48, 15, 24, 82, 67, 73, 90, 98, 85, 39, 14, 8, 70, 5, 72, 41, 96, 36, 76, 99, 82, 52, 73, 21, 90, 38, 52, 0, 54, 63, 55, 3, 54, 38, 79, 16, 68, 3, 20, 31, 31, 90, 67, 91, 26, 98, 87, 70, 95, 38, 13, 4, 20, 41, 71, 2, 61, 31, 46, 18, 49, 46, 40, 68, 22, 70, 49, 72, 12, 75, 46, 59, 39, 53, 68, 83, 16, 17, 74, 79, 50, 78, 91, 89, 75, 28, 88, 95, 58, 50, 40, 83, 13, 49, 45, 63, 61, 95, 79, 15, 2, 62, 60, 36, 96, 23, 26, 95, 48, 21, 94, 96, 32, 95, 17, 87, 51, 6, 45, 15, 98, 96, 98, 37, 29, 83, 65, 71, 72, 45, 6, 33, 30, 28, 42, 56, 68, 97, 84, 46, 60, 53, 42, 70, 45, 78, 64, 19, 62, 93, 62, 94, 0, 64, 2, 18, 72, 60, 88, 7, 56, 12, 46, 60, 36, 94, 66, 0, 87, 23, 42, 22, 69, 1, 46, 95, 40, 89, 27, 10, 46, 81, 41, 61, 13, 7, 71, 11, 92, 39, 94, 11, 58, 17, 12, 49, 67, 45, 38, 58, 87, 13, 56, 8, 78, 98, 24, 69, 89, 40, 62, 58, 65, 5, 24, 91, 12, 25, 47, 87, 48, 0, 28, 56, 56, 72, 21, 62, 65, 93, 56, 28, 15, 88, 38, 39, 90, 96, 37, 18, 76, 96, 4, 94, 12, 80, 7, 47, 5, 53, 83, 85, 71, 92, 48, 4, 91, 35, 45, 42, 5, 12, 88, 46, 72, 93, 53, 90, 32, 36, 11, 41, 52, 81, 2, 64, 90, 87, 4, 2, 64, 14, 15, 46, 36, 19, 37, 38, 60, 2, 15, 49, 90, 92, 22, 32, 35, 21, 10, 16, 11, 33, 60, 11, 30, 62, 49, 3, 6, 55, 83, 60, 44, 36, 31, 52, 79, 31, 11, 7, 72, 49, 22, 75, 51, 89, 18, 0, 52, 29, 54, 94, 53, 90, 97, 43, 27, 8, 97, 89, 86, 44, 3, 26, 92, 59, 51, 93, 9, 30, 21, 92, 67, 0, 71, 71, 63, 78, 24, 63, 81, 26, 28, 19, 65, 18, 41, 50, 87, 25, 39, 76, 23, 20, 95, 99, 68, 81, 0, 2, 55, 45, 36, 24, 71, 43, 6, 46, 37, 46, 44, 50, 15, 43, 83, 70, 2, 91, 38, 25, 45, 63, 85, 67, 30, 41, 18, 7, 94, 79, 56, 77, 72, 96, 21, 27, 73, 90, 16, 6, 47, 23, 23, 82, 52, 68, 12, 79, 56, 82, 46, 83, 53, 55, 84, 46, 71, 87, 61, 55, 3, 69, 72, 7, 75, 4, 6, 19, 19, 10, 63, 17, 46, 94, 94, 92, 64, 87, 59, 32, 35, 2, 27, 81, 65, 94, 52, 60, 28, 17, 72, 57, 97, 17, 19, 34, 62, 44, 84, 95, 46, 22, 70, 68, 42, 41, 94, 61, 54, 7, 10, 1, 38, 61, 45, 84, 4, 19, 69, 36, 99, 2, 49, 17, 10, 82, 49, 57, 22, 47, 87, 99, 92, 44, 43, 4, 44, 1, 15, 85, 87, 83, 2, 9, 90, 31, 26, 60, 99, 95, 37, 37, 3, 19, 89, 0, 77, 53, 54, 59, 28, 34, 13, 51, 57, 50, 96, 56, 64, 46, 36, 50, 19, 85, 87, 80, 42, 43, 80, 48, 31, 22, 98, 91, 41, 7, 53, 76, 89, 15, 68, 28, 45, 21, 91, 73, 71, 32, 41, 9, 57, 92, 67, 32, 79, 26, 67, 13, 87, 21, 63, 57, 9, 89, 85, 11, 83, 18, 67, 3, 37, 21, 81, 33, 7, 63, 65, 8, 77, 98, 32, 27, 71, 74, 68, 93, 24, 83, 45, 21, 27, 26, 77, 11, 87, 22, 25, 94, 69, 27, 50, 58, 94, 47, 66, 77, 0, 26, 1, 52, 99, 18, 54, 86, 66, 18, 67, 93, 26, 33, 35, 47, 67, 6, 35, 26, 53, 66, 90, 79, 98, 93, 91, 31, 48, 67, 10, 80, 3, 86, 66, 21, 34, 67, 81, 62, 18, 35, 58, 93, 81, 73, 38, 68, 17, 77, 94, 17, 6, 86, 47, 61, 68, 33, 4, 10, 13, 54, 34, 48, 38, 33, 75, 16, 47, 25, 40, 61, 58, 54, 69, 48, 50, 8, 70, 11, 55, 83, 97, 54, 38, 78, 64, 61, 62, 70, 37, 4, 7, 59, 41, 51, 5, 2, 2, 47, 31, 2, 90, 39, 89, 88, 71, 53, 28, 99, 70, 36, 40, 56, 38, 50, 44, 24, 58, 64, 53, 55, 20, 6, 9, 34, 25, 73, 88, 97, 50, 29, 74, 61, 18, 47, 73, 1, 74, 79, 4, 29, 60, 58, 63, 95, 95, 11, 0, 70, 49, 89, 13, 86, 59, 13, 37, 33, 81, 77, 25, 90, 50, 17, 23, 17, 43, 72, 63, 95, 70, 10, 37, 7, 56, 40, 40, 84, 70, 18, 69, 7, 32, 91, 96, 64, 57, 73, 88, 88, 98, 95, 15, 31, 46, 73, 88, 90, 82, 5, 30, 49, 49, 16, 45, 60, 74, 40, 74, 1, 3, 60, 10, 59, 8, 37, 74, 17, 57, 31, 92, 22, 68, 25, 43, 99, 84, 93, 17, 21, 41, 58, 85, 26, 67, 34, 16, 34, 10, 71, 57, 65, 70, 97, 56, 25, 94, 94, 35, 54, 97, 38, 66, 84, 90, 51, 1, 31, 48, 72, 62, 95, 12, 95, 43, 96, 42, 56, 11, 22, 75, 67, 27, 95, 46, 30, 21, 18, 64, 40, 38, 12, 32, 16, 3, 49, 10, 76, 57, 69, 97, 47, 40, 62, 11, 49, 94, 9, 37, 72, 25, 4, 5, 68, 79, 65, 3, 36, 75, 50, 23, 16, 6, 64, 26, 89, 92, 30, 85, 43, 91, 20, 84, 23, 35, 46, 13, 18, 99, 66, 86, 75, 42, 82, 53, 15, 43, 7, 73, 29, 79, 64, 65, 50, 52, 23, 69, 32, 33, 87, 33, 17, 37, 58, 71, 93, 95, 44, 81, 97, 43, 50, 5, 69, 19, 71, 38, 57, 22, 49, 90, 56, 88, 15, 86, 50, 86, 81, 74, 32, 61, 95, 58, 16, 11, 74, 65, 77, 33, 20, 23, 77, 90, 33, 19, 34, 0, 41, 56, 34, 62, 39, 72, 56, 82, 52, 50, 18, 92, 40, 29, 87, 24, 22, 51, 37, 8, 52, 84, 93, 37, 7, 79, 87, 35, 9, 82, 16, 39, 40, 86, 56, 13, 68, 6, 87, 86, 59, 32, 92, 30, 33, 73, 63, 38, 20, 73, 83, 8, 18, 4, 25, 63, 4, 80, 11, 44, 88, 69, 99, 34, 17, 84, 99, 74, 94, 47, 73, 3, 20, 66, 11, 51, 37, 34, 80, 69, 49, 12, 78, 36, 82, 41, 80, 72, 17, 58, 11, 36, 22, 6, 19, 33, 16, 65, 37, 24, 31, 84, 39, 62, 77, 90, 71, 28, 9, 27, 30, 74, 20, 41, 50, 90, 13, 10, 28, 34, 32, 20, 82, 25, 94, 81, 48, 10, 45, 23, 9, 43, 0, 84, 27, 61, 66, 65, 46, 8, 81, 6, 47, 60, 84, 37, 55, 10, 98, 13, 97, 3, 49, 13, 45, 73, 69, 49, 41, 52, 3, 71, 92, 0, 78, 31, 69, 62, 22, 37, 80, 94, 52, 69, 12, 72, 83, 15, 47, 23, 37, 39, 7, 67, 48, 73, 79, 57, 29, 65, 26, 10, 29, 53, 41, 50, 28, 32, 26, 97, 40, 54, 30, 49, 17, 87, 65, 59, 51, 38, 86, 18, 29, 4, 16, 91, 93, 76, 72, 21, 17, 60, 46, 18, 80, 2, 5, 47, 93, 67, 61, 6, 67, 91, 46, 67, 12, 94, 86, 63, 68, 74, 37, 23, 2, 77, 60, 15, 86, 80, 38, 77, 43, 56, 98, 42, 47, 85, 93, 32, 54, 9, 50, 24, 37, 83, 28, 93, 99, 25, 93, 23, 79, 56, 1, 44, 87, 40, 70, 53, 61, 29, 7, 6, 27, 65, 45, 33, 73, 65, 71, 65, 43, 83, 59, 92, 53, 51, 93, 51, 73, 30, 89, 34, 70, 32, 21, 26, 50, 75, 76, 48, 81, 32, 50, 68, 94, 38, 2, 95, 70, 56, 64, 22, 30, 56, 97, 20, 1, 11, 10, 32, 39, 43, 25, 65, 96, 68, 17, 6, 45, 73, 67, 71, 10, 27, 78, 39, 63, 66, 36, 35, 80, 75, 5, 12, 6, 59, 35, 29, 40, 13, 15, 5, 59, 73, 77, 7, 44, 49, 6, 6, 55, 36, 54, 54, 56, 90, 54, 80, 26, 16, 3, 17, 9, 33, 23, 97, 96, 83, 72, 0, 63, 16, 14, 65, 71, 88, 29, 14, 94, 35, 97, 7, 57, 98, 13, 96, 32, 45, 12, 73, 70, 82, 70, 39, 80, 99, 52, 40, 80, 48, 17, 96, 66, 60, 15, 37, 35, 18, 6, 10, 57, 18, 56, 72, 34, 21, 69, 59, 7, 58, 93, 80, 94, 74, 64, 10, 87, 62, 24, 54, 62, 46, 40, 65, 99, 50, 33, 39, 67, 42, 99, 65, 35, 20, 83, 31, 49, 33, 92, 93, 76, 54, 29, 11, 50, 6, 17, 50, 99, 41, 8, 60, 46, 74, 98, 96, 12, 73, 7, 96, 12, 79, 94, 66, 83, 89, 21, 8, 36, 86, 33, 11, 62, 4, 65, 28, 97, 3, 9, 67, 66, 47, 78, 99, 70, 28, 46, 82, 73, 46, 48, 69, 92, 53, 37, 38, 5, 12, 88, 88, 44, 17, 47, 48, 5, 7, 48, 77, 91, 97, 22, 26, 40, 65, 81, 98, 73, 7, 75, 44, 33, 59, 95, 42, 70, 23, 85, 45, 42, 44, 60, 43, 53, 46, 34, 13, 67, 34, 58, 95, 58, 32, 21, 96, 67, 28, 17, 83, 21, 84, 6, 47, 70, 93, 85, 99, 82, 1, 40, 16, 68, 3, 0, 13, 75, 91, 81, 40, 42, 51, 60, 26, 10, 57, 11, 23, 25, 54, 41, 88, 67, 64, 67, 41, 83, 11, 31, 48, 29, 44, 0, 56, 8, 92, 31, 91, 33, 36, 20, 13, 1, 95, 13, 77, 74, 54, 49, 1, 12, 60, 96, 47, 54, 79, 85, 17, 68, 43, 55, 10, 0, 58, 60, 60, 95, 46, 10, 38, 48, 43, 95, 92, 33, 42, 85, 26, 85, 80, 96, 59, 9, 69, 71, 53, 41, 38, 16, 55, 16, 45, 48, 66, 83, 33, 59, 62, 14, 45, 71, 38, 66, 32, 13, 22, 39, 53, 22, 10, 80, 87, 76, 61, 56, 58, 88, 46, 65, 40, 91, 86, 41, 9, 66, 29, 84, 33, 59, 21, 62, 54, 27, 97, 85, 7, 43, 13, 11, 55, 93, 69, 38, 34, 28, 8, 21, 97, 57, 43, 91, 45, 3, 85, 51, 83, 38, 66, 96, 58, 92, 18, 91, 83, 12, 70, 71, 83, 63, 81, 93, 24, 18, 47, 53, 79, 76, 54, 51, 89, 18, 54, 90, 12, 44, 8, 51, 2, 5, 8, 46, 86, 1, 32, 64, 36, 41, 69, 23, 51, 99, 85, 54, 57, 1, 30, 56, 28, 37, 48, 56, 11, 12, 42, 15, 64, 4, 96, 36, 84, 34, 97, 8, 33, 58, 20, 32, 61, 31, 97, 60, 7, 76, 95, 43, 87, 32, 40, 27, 3, 60, 87, 48, 15, 28, 77, 71, 28, 77, 24, 80, 55, 67, 11, 5, 77, 90, 82, 22, 55, 47, 43, 88, 88, 46, 34, 95, 21, 10, 68, 43, 74, 85, 53, 40, 18, 97, 36, 86, 25, 69, 51, 67, 95, 94, 40, 37, 32, 16, 94, 56, 43, 35, 48, 35, 79, 56, 6, 6, 91, 17, 9, 96, 8, 86, 9, 11, 13, 55, 1, 67, 9, 10, 78, 57, 56, 4, 10, 56, 10, 39, 2, 80, 69, 36, 62, 53, 46, 29, 54, 80, 10, 26, 13, 2, 15, 80, 25, 0, 81, 95, 75, 21, 29, 9, 84, 91, 96, 55, 85, 2, 24, 17, 23, 10, 50, 37, 19, 12, 49, 4, 52, 45, 66, 46, 74, 64, 38, 80, 60, 72, 24, 62, 41, 61, 26, 44, 77, 91, 84, 74, 51, 97, 87, 98, 16, 95, 45, 1, 29, 66, 33, 50, 8, 34, 37, 21, 71, 6, 97, 91, 93, 82, 57, 55, 81, 79, 30, 23, 30, 43, 42, 13, 17, 94, 94, 99, 48, 85, 87, 53, 14, 53, 62, 98, 50, 16, 15, 91, 13, 64, 4, 45, 20, 6, 13, 54, 94, 49, 95, 95, 94, 91, 72, 26, 41, 37, 88, 84, 96, 11, 54, 75, 81, 55, 98, 25, 85, 29, 29, 4, 34, 10, 31, 95, 69, 38, 30, 38, 92, 47, 68, 51, 62, 72, 90, 38, 58, 13, 74, 8, 88, 6, 14, 15, 92, 19, 37, 94, 45, 30, 3, 68, 78, 27, 99, 91, 31, 50, 44, 17, 76, 9, 37, 30, 82, 96, 41, 17, 32, 31, 68, 71, 33, 7, 46, 12, 92, 30, 81, 22, 19, 28, 68, 20, 7, 90, 86, 24, 70, 17, 0, 66, 91, 28, 30, 76, 28, 35, 8, 57, 13, 53, 36, 28, 42, 0, 22, 80, 99, 20, 6, 82, 10, 66, 58, 23, 1, 65, 88, 14, 9, 68, 18, 75, 77]
Arrays自带排序:用时:0.01秒
冒泡排序:用时:0.327秒
快速排序:用时:0.007秒
插入排序:用时:0.024秒
希尔排序:用时:0.159秒
选择排序:用时:0.063秒
归并排序:用时:0.005秒
堆排序:用时:0.043秒
二叉排序树排序:用时:1.354秒
三、总结
1、 java自带的数组排序接口速度已经足够快了
2、总体而言,归并排序和快速排序的速度最快,但当数组长度过大的时候容易发生栈溢出
3、 二叉排序树速度最慢,但是其适用于长度可变的排序场景(类似于优先队列)