（一）技术交底书的要求：
□应清楚、完整地写明发明或实用新型的内容；
□使所属技术领域的普通技术人员能够根据此内容实施发明创造；
□使上述人员相信本发明确实可以解决现有技术不能解决的问题。
（二）技术交底书的具体样本如下：
1）发明创造的名称：
16位真彩色下平滑显示24、32位真彩色图像的方法
2）所属技术领域：
技术领域：
本发明涉及数字电视图像处理领域，特别是涉及一种16位真彩色下平滑显示24、32位真彩色图像的方法。
3）背景技术
3.1）详细介绍技术背景，并描述申请人所知的与发明方案最接近的已有技术（应详细介绍，以不需再去看文献即可领会该技术内容为准，如果现有技术出自专利、期刊、书籍，则提供出处）；
3.2）对现有技术存在的缺点进行客观的评述（现有技术的缺点是针对于本发明的优点来说的；如果找不出对比技术方案及其缺点，可用反推法，根据本发明的优点来找对应的缺点；本发明不能解决的缺点，不需提供；缺点可以是成本高、处理时间慢等类似问题）。
背景技术：
目前数字电视机顶盒应用广泛，各个厂家、各个平台中均有OSD（On Screen Display）的显示层,在使用OSD时，颜色模式一般可以被设置成，16位真彩色、24位真彩色、32位真彩色等多种模式，其中16位真彩色使用的最为广泛。尤其在标清的数字电视应用中，由于STB（机顶盒）的CPU处理能力较低，内存资源有限，要解决大量的计算，以适应STB的CPU频率比较低的嵌入式环境，颜色存储最常使用16位（2个字节）而不是使用32位（4个字节）来处理OSD的应用，而16位真彩色一般会作为默认的显示方式。
在16位真彩色这个颜色模式下，屏幕上每个点的颜色存储有多种方式，例如：ARGB4444、ARGB1555、RGB565等（以下我们分别简称位：4444模式、1555模式、565模式）。标识符中的数字表示每种颜色分量（透明A、红R、绿G、蓝B）颜色所占用的位数。
其中4444模式，可以表示的颜色数为：2^4（红）*2^4（绿）*2^4（蓝）= 4096 种颜色；1555模式可以表示的颜色数为：2^5（红）*2^5（绿）*2^5（蓝）= 32768 种颜色（由于565模式缺少了透明位，一般不在数字电视领域中应用，所以这里不加讨论）。我们可以看到，在1555模式下，颜色的细腻程度已经足够（相对人肉眼的可分辨能力而言）。
24位真彩色，这里指RGB888，每个颜色分量使用8位来表示。
32位真彩色，这里指ARGB8888，即除R、G、B外加上透明位，每个颜色分量使用8位来表示。
从以上描述可以看出，当要用ARGB1555显示一个更加细腻的RGB888的图像时，R、G、B每个颜色分量上，都会有3个位的误差（从8位转换到5位），这个问题反映到实际的显示效果来看，就是当外部制作、获得到的图片是24、32位真彩色图片，而将之显示到16位的环境下时会产生失真。
4）发明内容：
4.1）正面描述本发明所要解决的技术问题（对应现有技术的所有缺点；本发明解决不了的，不需提供）；
4.2）清楚完整的叙述发明创造的技术方案，应结合工艺流程图、原理框图、电路图、仿真图、布局图、设备结构图进行说明（越详细越好，可与第6部分合写；发明中每一功能的实现都要有相应的技术实现方案，不能只有原理，也不能只做功能介绍；需要详细提供与现有技术的区别技术和关联技术；每个附图都应有对应的文字描述，以他人不看附图即可明白技术方案为准；所有英文缩写都应中文注释）：
对于机械产品的发明创造应详细说明每一个结构零部件的形状、构造、部件之间的连接关系、空间位置关系、工作原理等；
对于电器产品应描述电器元件的组成、连接关系；
对于无固定形状和结构的产品，如粉状或流体产品、化学品、药品，应描述其组分及其含量、制造工艺条件和工艺流程等；
对于方法发明，应描述操作步骤、工艺参数等；
4.3）简单点明本发明的关键点和欲保护点（逐项列出1、2、3、、、），并简单介绍与最好的现有技术相比，本发明有何优点（一两个自然段即可；结合技术方案来描述，做到有理有据，即用推理或因果关系的方式推理说明；可以对应所要解决的技术问题或发明目的来描述）。
发明内容：
本发明的主要目的就是针对现有技术的不足，提供一种16位真彩色下平滑显示24、32位真彩色图像的方法，能有效避免波纹、失真。
为实现上述目的，本发明采用以下技术方案：
一种16位真彩色下平滑显示24、32位真彩色图像的方法, 其特征在于，包括以下步骤：
a. 获得点在图像中的红/绿/蓝单种原始颜色值color、横坐标x以及纵
坐标y；
b. 使用颜色值查找函数，所述颜色值查找函数根据红/绿/蓝单种原始颜色值color、横坐标x和纵坐标y来查找一个颜色对应表，所述颜色对应表相当于一个三维数组，其由预定好数值的多个数组元素组成，所述单种原始颜色值color、横坐标x和纵坐标y分别确定各数组元素的三个维的下标，将由此所确定的数组元素的数值作为点的单种颜色值的转换值；
c. 根据转换后的红、绿、蓝三种颜色值，确定16位真彩色下所显示的颜色值。
优选地，所述16位真彩色采用ARGB 1555模式，1、5、5、5为透明、红、绿、蓝各颜色分量所占位数。
优选地，所述三维数组的结构为[256][8][8]，其中[256]、[8] 、[8]分别为所述单种原始颜色值color、横坐标x和纵坐标y所对应的维。
所述步骤b中，可采用对坐标值进行除8取模运算来确定对应维的下标。
所述步骤b中，可采用对坐标值进行移位运算来确定对应维的下标。
所述步骤b中，当单种原始颜色值color为0xff时，所述颜色值查找函数返回转换值为0xFF。
本发明有益的技术效果是：
采用本发明，能有效避免图像产生波纹和失真，实现平滑显示，提高显示效果，同时还能节省存储空间。
5）附图：实用新型专利必须提供附图，附图中构成件可以有标记，尺寸和参数不必标注。
附图说明：
图1为本发明的16位真彩色下平滑显示24、32位真彩色图像的方法的流程图。
本发明的特征及优点将通过实施例结合附图进行详细说明。
6）优选具体实施方式（可与第4部分合写；尽量写明所有同样能完成发明目的的替代方案，所述替代可以是部分结构、器件、方法步骤的替代，也可以是完整的技术方案）：
对于产品发明应描述产品构成、电路构成或者化学成分、各部分之间的相互关系、工作过程或操作步骤；对于方法发明应写明步骤、参数、工艺条件等，可提供多个具体实施方式。
具体实施方式：
请参考图1，本发明的显示方法一种实施例的具体流程如下：
步骤1：当解析图像(例如GIF,JPEG,BMP,PNG等格式)时，对于图像中的每个点，获取其在图像中的原始颜色值和坐标。
例如，对于24位的位图（BMP），首先计算出点在位图中的原始颜色值：
在本例中p24BmpPixBytes是存储24位的位图（BMP）数据的数组，在此过程表示取出此位图横坐标为i、纵坐标为j的点的数据；btPixB表示蓝色点、btPixG表示绿色点、btPixR表示红色点，那么
蓝色点的取值方式为：
UINT8 btPixB = p24BmpPixBytes[(i*bmp_width+j)*3]；
绿色点的取值方式为：
UINT8 btPixG = p24BmpPixBytes[(i*bmp_width+j)*3+1]；
红色点的取值方式为：
UINT8 btPixR = p24BmpPixBytes[(i*bmp_width+j)*3+2]。
以宽度（bmp_width）为1080的位图为例，可确定点在图像中的横坐标为 j，而纵坐标为 1080-i-1。
步骤2：接下来利用颜色值查找函数进行处理，以原始颜色值和坐标为参数，查找具有三维数组结构的颜色对应表，将对应的数组元素的数值作为点的单种颜色值的转换值。
颜色值查找函数形式如下：
方法一：
UINT8 get_color_value(UINT8 color,UINT16 x,UINT16 y)
{
if(color == 0xff) return 0xFF;
return tr_table[color][x%8][y%8];
}
方法二：
UINT8 get_color_value(UINT8 color,UINT16 x,UINT16 y)
{
if(color == 0xff) return 0xFF;
return tr_table[color][x&(0x08-1)][ y&(0x08-1)];
}
X的取值范围（UINT16 x,UINT16 y）：0-65535 0x0000 – 0xffff
该函数的返回值即为查找到的颜色值。
其中，color 表示24位真彩色图像中点的单种原始颜色值；
x表示点在图像中的横坐标；
y表示点在图像中的纵坐标；
tr_table为一个用来查询需转换的单种颜色值的颜色对应表，该表相当于一个三维数组，其由预定好数值的多个数组元素组成，颜色点的单种原始颜色值color、横坐标x和纵坐标y分别用于确定数组元素的三个维的下标，上述方法一中，x%8和y%8表示对坐标值进行除8取模运算。
应指出，该表的构造结果更适用于嵌入式开发环境。
1）颜色的转换只用通过查表的方式来进行，不需经过逐点计算，不增加额外的临时存储空间，且在转换过程中占用的存储空间和图像大小无关；
2）表的形式为256*8*8的三维数组，这使得根据坐标进行颜色查找时，任何一坐标值对8取模均可采用位运算来替代，由于在嵌入式环境中不一定存在除法运算器，所以颜色值查找函数的坐标转换可用位移来处理是本表的特征之一，如get_color_value的上述方法二，使得查找的时间缩短，速度加快。
而由三个下标所确定数组元素的数值即为该颜色点需转换的单种颜色值；其中，当单种原始颜色值color为0xff时，函数返回值为0xFF。
将步骤1所得的原始颜色值和横、纵坐标参数代入，运行颜色值查找函函数，得到R、G、B三种单色的转换值如下：
btPixB = get_color_value(btPixB,j,1080-i-1);
btPixG = get_color_value(btPixG,j,1080-i-1);
btPixR = get_color_value(btPixR,j,1080-i-1)。
步骤3：最后，根据点的R、G、B三种颜色的转换值，确定可被直接使用的 16位真彩色下如ARGB 1555模式下的颜色值，该处理过程可以下式来表示：
WORD color = ((btPixR & 0x00F8)<<7) | ( (btPixG & 0x00F8)<<2 ) | ((btPixB & 0x00F8) >> 3)。
其表示将 R 、G 、B 3个颜色值（分别保存在1个字节（8位）中，每个的有效位是5位）用一个双字节的变量来存储。
以R为例：
btPixR & 0x00F8 将一个字节的后三位置0(0x00F8 二进制表示为 00000000 11111000）；
(btPixR & 0x00F8)<<7 再将以上的结果左移7位，（因最高位为透明位，这里不处理）则执行的结果类似于 0xxxxx00 00000000。
对G 、B的处理类似。
这样，就分别将 R G B 3个颜色的分量放置到对应的位上 0RRRRRGGGGGBBBBB （二进制表示），生成了一个2字节（16位）的变量，并将此结果保存到双字节的变量WORD color 中。
本步骤对R、G、B颜色值的处理可采用已知的常规技术。
在一个优选的实施例中，步骤2中所采用的颜色对应表具体如下：
static UINT8 tr_table[256][8][8]=
{ 0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,
8,0,0,0,8,0,0,0,
0,0,0,0,0,0,0,0,
0,0,8,0,0,0,0,0,
0,0,0,0,0,0,0,0,
8,0,0,0,8,0,0,0,
0,0,0,0,0,0,0,0,
0,0,8,0,0,0,8,0,
0,0,0,0,0,0,0,0,
8,0,8,0,8,0,0,0,
0,0,0,0,0,0,0,0,
8,0,8,0,8,0,8,0,
0,0,0,0,0,0,0,0,
8,0,8,0,8,0,8,0,
0,0,0,0,0,0,0,0,
8,0,8,0,8,0,8,0,
0,0,0,0,0,0,0,0,
8,0,8,0,8,0,8,0,
0,8,0,0,0,8,0,0,
8,0,8,0,8,0,8,0,
0,0,0,8,0,0,0,0,
8,0,8,0,8,0,8,0,
0,8,0,0,0,8,0,0,
8,0,8,0,8,0,8,0,
0,0,0,8,0,0,0,8,
8,0,8,0,8,0,8,0,
0,8,0,8,0,8,0,0,
8,0,8,0,8,0,8,0,
0,8,0,8,0,8,0,8,
8,0,8,0,8,0,8,0,
0,8,0,8,0,8,0,8,
8,0,8,0,8,0,8,0,
0,8,0,8,0,8,0,8,
8,0,8,0,8,0,8,0,
8,8,0,8,8,8,0,8,
8,0,8,0,8,0,8,0,
0,8,8,8,0,8,0,8,
8,0,8,0,8,0,8,0,
8,8,0,8,8,8,0,8,
8,0,8,0,8,0,8,0,
0,8,0,8,0,8,8,8,
8,0,8,0,8,0,8,0,
8,8,8,8,8,8,0,8,
8,0,8,0,8,0,8,0,
8,8,8,8,8,8,8,8,
8,0,8,0,8,0,8,0,
8,8,0,8,8,8,8,8,
8,0,8,0,8,0,8,0,
8,8,8,8,8,8,8,8,
8,8,8,0,8,8,8,0,
8,8,8,8,8,8,8,8,
8,0,8,8,8,0,8,0,
8,8,8,8,8,8,8,8,
8,8,8,0,8,8,8,0,
8,8,8,8,8,8,8,8,
8,0,8,0,8,0,8,8,
8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,0,
8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,
8,8,8,0,8,8,8,8,
8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,
16,8,8,8,16,8,8,8,
8,8,8,8,8,8,8,8,
8,8,16,8,8,8,8,8,
8,8,8,8,8,8,8,8,
16,8,8,8,16,8,8,8,
8,8,8,8,8,8,8,8,
8,8,16,8,8,8,16,8,
8,8,8,8,8,8,8,8,
16,8,16,8,16,8,8,8,
8,8,8,8,8,8,8,8,
16,8,16,8,16,8,16,8,
8,8,8,8,8,8,8,8,
16,8,16,8,16,8,16,8,
8,8,8,8,8,8,8,8,
16,8,16,8,16,8,16,8,
8,8,8,8,8,8,8,8,
16,8,16,8,16,8,16,8,
8,16,8,8,8,16,8,8,
16,8,16,8,16,8,16,8,
8,8,8,16,8,8,8,8,
16,8,16,8,16,8,16,8,
8,16,8,8,8,16,8,8,
16,8,16,8,16,8,16,8,
8,8,8,16,8,8,8,16,
16,8,16,8,16,8,16,8,
8,16,8,16,8,16,8,8,
16,8,16,8,16,8,16,8,
8,16,8,16,8,16,8,16,
16,8,16,8,16,8,16,8,
8,16,8,16,8,16,8,16,
16,8,16,8,16,8,16,8,
8,16,8,16,8,16,8,16,
16,8,16,8,16,8,16,8,
16,16,8,16,16,16,8,16,
16,8,16,8,16,8,16,8,
8,16,16,16,8,16,8,16,
16,8,16,8,16,8,16,8,
16,16,8,16,16,16,8,16,
16,8,16,8,16,8,16,8,
8,16,8,16,8,16,16,16,
16,8,16,8,16,8,16,8,
16,16,16,16,16,16,8,16,
16,8,16,8,16,8,16,8,
16,16,16,16,16,16,16,16,
16,8,16,8,16,8,16,8,
16,16,8,16,16,16,16,16,
16,8,16,8,16,8,16,8,
16,16,16,16,16,16,16,16,
16,16,16,8,16,16,16,8,
16,16,16,16,16,16,16,16,
16,8,16,16,16,8,16,8,
16,16,16,16,16,16,16,16,
16,16,16,8,16,16,16,8,
16,16,16,16,16,16,16,16,
16,8,16,8,16,8,16,16,
16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,8,
16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,
16,16,16,8,16,16,16,16,
16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,
24,16,16,16,24,16,16,16,
16,16,16,16,16,16,16,16,
16,16,24,16,16,16,16,16,
16,16,16,16,16,16,16,16,
24,16,16,16,24,16,16,16,
16,16,16,16,16,16,16,16,
16,16,24,16,16,16,24,16,
16,16,16,16,16,16,16,16,
24,16,24,16,24,16,16,16,
16,16,16,16,16,16,16,16,
24,16,24,16,24,16,24,16,
16,16,16,16,16,16,16,16,
24,16,24,16,24,16,24,16,
16,16,16,16,16,16,16,16,
24,16,24,16,24,16,24,16,
16,16,16,16,16,16,16,16,
24,16,24,16,24,16,24,16,
16,24,16,16,16,24,16,16,
24,16,24,16,24,16,24,16,
16,16,16,24,16,16,16,16,
24,16,24,16,24,16,24,16,
16,24,16,16,16,24,16,16,
24,16,24,16,24,16,24,16,
16,16,16,24,16,16,16,24,
24,16,24,16,24,16,24,16,
16,24,16,24,16,24,16,16,
24,16,24,16,24,16,24,16,
16,24,16,24,16,24,16,24,
24,16,24,16,24,16,24,16,
16,24,16,24,16,24,16,24,
24,16,24,16,24,16,24,16,
16,24,16,24,16,24,16,24,
24,16,24,16,24,16,24,16,
24,24,16,24,24,24,16,24,
24,16,24,16,24,16,24,16,
16,24,24,24,16,24,16,24,
24,16,24,16,24,16,24,16,
24,24,16,24,24,24,16,24,
24,16,24,16,24,16,24,16,
16,24,16,24,16,24,24,24,
24,16,24,16,24,16,24,16,
24,24,24,24,24,24,16,24,
24,16,24,16,24,16,24,16,
24,24,24,24,24,24,24,24,
24,16,24,16,24,16,24,16,
24,24,16,24,24,24,24,24,
24,16,24,16,24,16,24,16,
24,24,24,24,24,24,24,24,
24,24,24,16,24,24,24,16,
24,24,24,24,24,24,24,24,
24,16,24,24,24,16,24,16,
24,24,24,24,24,24,24,24,
24,24,24,16,24,24,24,16,
24,24,24,24,24,24,24,24,
24,16,24,16,24,16,24,24,
24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,16,
24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,
24,24,24,16,24,24,24,24,
24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,
32,24,24,24,32,24,24,24,
24,24,24,24,24,24,24,24,
24,24,32,24,24,24,24,24,
24,24,24,24,24,24,24,24,
32,24,24,24,32,24,24,24,
24,24,24,24,24,24,24,24,
24,24,32,24,24,24,32,24,
24,24,24,24,24,24,24,24,
32,24,32,24,32,24,24,24,
24,24,24,24,24,24,24,24,
32,24,32,24,32,24,32,24,
24,24,24,24,24,24,24,24,
32,24,32,24,32,24,32,24,
24,24,24,24,24,24,24,24,
32,24,32,24,32,24,32,24,
24,24,24,24,24,24,24,24,
32,24,32,24,32,24,32,24,
24,32,24,24,24,32,24,24,
32,24,32,24,32,24,32,24,
24,24,24,32,24,24,24,24,
32,24,32,24,32,24,32,24,
24,32,24,24,24,32,24,24,
32,24,32,24,32,24,32,24,
24,24,24,32,24,24,24,32,
32,24,32,24,32,24,32,24,
24,32,24,32,24,32,24,24,
32,24,32,24,32,24,32,24,
24,32,24,32,24,32,24,32,
32,24,32,24,32,24,32,24,
24,32,24,32,24,32,24,32,
32,24,32,24,32,24,32,24,
24,32,24,32,24,32,24,32,
32,24,32,24,32,24,32,24,
32,32,24,32,32,32,24,32,
32,24,32,24,32,24,32,24,
24,32,32,32,24,32,24,32,
32,24,32,24,32,24,32,24,
32,32,24,32,32,32,24,32,
2,24,32,24,32,24,32,24,
24,32,24,32,24,32,32,32,
32,24,32,24,32,24,32,24,
32,32,32,32,32,32,24,32,
32,24,32,24,32,24,32,24,
32,32,32,32,32,32,32,32,
32,24,32,24,32,24,32,24,
32,32,24,32,32,32,32,32,
32,24,32,24,32,24,32,24,
32,32,32,32,32,32,32,32,
32,32,32,24,32,32,32,24,
32,32,32,32,32,32,32,32,
32,24,32,32,32,24,32,24,
32,32,32,32,32,32,32,32,
32,32,32,24,32,32,32,24,
32,32,32,32,32,32,32,32,
32,24,32,24,32,24,32,32,
32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,24,
32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,
32,32,32,24,32,32,32,32,
32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,
41,32,32,32,41,32,32,32,
32,32,32,32,32,32,32,32,
32,32,41,32,32,32,32,32,
32,32,32,32,32,32,32,32,
41,32,32,32,41,32,32,32,
32,32,32,32,32,32,32,32,
32,32,41,32,32,32,41,32,
32,32,32,32,32,32,32,32,
41,32,41,32,41,32,32,32,
32,32,32,32,32,32,32,32,
41,32,41,32,41,32,41,32,
32,32,32,32,32,32,32,32,
41,32,41,32,41,32,41,32,
32,32,32,32,32,32,32,32,
41,32,41,32,41,32,41,32,
32,32,32,32,32,32,32,32,
41,32,41,32,41,32,41,32,
32,41,32,32,32,41,32,32,
41,32,41,32,41,32,41,32,
32,32,32,41,32,32,32,32,
41,32,41,32,41,32,41,32,
32,41,32,32,32,41,32,32,
41,32,41,32,41,32,41,32,
32,32,32,41,32,32,32,41,
41,32,41,32,41,32,41,32,
32,41,32,41,32,41,32,32,
41,32,41,32,41,32,41,32,
32,41,32,41,32,41,32,41,
41,32,41,32,41,32,41,32,
32,41,32,41,32,41,32,41,
41,32,41,32,41,32,41,32,
32,41,32,41,32,41,32,41,
41,32,41,32,41,32,41,32,
41,41,32,41,41,41,32,41,
41,32,41,32,41,32,41,32,
32,41,41,41,32,41,32,41,
41,32,41,32,41,32,41,32,
41,41,32,41,41,41,32,41,
41,32,41,32,41,32,41,32,
32,41,32,41,32,41,41,41,
41,32,41,32,41,32,41,32,
41,41,41,41,41,41,32,41,
41,32,41,32,41,32,41,32,
41,41,41,41,41,41,41,41,
41,32,41,32,41,32,41,32,
41,41,32,41,41,41,41,41,
41,32,41,32,41,32,41,32,
41,41,41,41,41,41,41,41,
41,41,41,32,41,41,41,32,
41,41,41,41,41,41,41,41,
41,32,41,41,41,32,41,32,
41,41,41,41,41,41,41,41,
41,41,41,32,41,41,41,32,
41,41,41,41,41,41,41,41,
41,32,41,32,41,32,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,32,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,32,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
41,41,41,41,41,41,41,41,
49,41,41,41,49,41,41,41,
41,41,41,41,41,41,41,41,
41,41,49,41,41,41,41,41,
41,41,41,41,41,41,41,41,
49,41,41,41,49,41,41,41,
41,41,41,41,41,41,41,41,
41,41,49,41,41,41,49,41,
41,41,41,41,41,41,41,41,
49,41,49,41,49,41,41,41,
41,41,41,41,41,41,41,41,
49,41,49,41,49,41,49,41,
41,41,41,41,41,41,41,41,
49,41,49,41,49,41,49,41,
41,41,41,41,41,41,41,41,
49,41,49,41,49,41,49,41,
41,41,41,41,41,41,41,41,
49,41,49,41,49,41,49,41,
41,49,41,41,41,49,41,41,
49,41,49,41,49,41,49,41,
41,41,41,49,41,41,41,41,
49,41,49,41,49,41,49,41,
41,49,41,41,41,49,41,41,
49,41,49,41,49,41,49,41,
41,41,41,49,41,41,41,49,
49,41,49,41,49,41,49,41,
41,49,41,49,41,49,41,41,
49,41,49,41,49,41,49,41,
41,49,41,49,41,49,41,49,
49,41,49,41,49,41,49,41,
41,49,41,49,41,49,41,49,
49,41,49,41,49,41,49,41,
41,49,41,49,41,49,41,49,
49,41,49,41,49,41,49,41,
49,49,41,49,49,49,41,49,
49,41,49,41,49,41,49,41,
41,49,49,49,41,49,41,49,
49,41,49,41,49,41,49,41,
49,49,41,49,49,49,41,49,
49,41,49,41,49,41,49,41,
41,49,41,49,41,49,49,49,
49,41,49,41,49,41,49,41,
49,49,49,49,49,49,41,49,
49,41,49,41,49,41,49,41,
49,49,49,49,49,49,49,49,
49,41,49,41,49,41,49,41,
49,49,41,49,49,49,49,49,
49,41,49,41,49,41,49,41,
49,49,49,49,49,49,49,49,
49,49,49,41,49,49,49,41,
49,49,49,49,49,49,49,49,
49,41,49,49,49,41,49,41,
49,49,49,49,49,49,49,49,
49,49,49,41,49,49,49,41,
49,49,49,49,49,49,49,49,
49,41,49,41,49,41,49,49,
49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,41,
49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,
49,49,49,41,49,49,49,49,
49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,
49,49,49,49,49,49,49,49,
57,49,49,49,57,49,49,49,
49,49,49,49,49,49,49,49,
49,49,57,49,49,49,49,49,
49,49,49,49,49,49,49,49,
57,49,49,49,57,49,49,49,
49,49,49,49,49,49,49,49,
49,49,57,49,49,49,57,49,
49,49,49,49,49,49,49,49,
57,49,57,49,57,49,49,49,
49,49,49,49,49,49,49,49,
57,49,57,49,57,49,57,49,
49,49,49,49,49,49,49,49,
57,49,57,49,57,49,57,49,
49,49,49,49,49,49,49,49,
57,49,57,49,57,49,57,49,
49,49,49,49,49,49,49,49,
57,49,57,49,57,49,57,49,
49,57,49,49,49,57,49,49,
57,49,57,49,57,49,57,49,
49,49,49,57,49,49,49,49,
57,49,57,49,57,49,57,49,
49,57,49,49,49,57,49,49,
57,49,57,49,57,49,57,49,
49,49,49,57,49,49,49,57,
57,49,57,49,57,49,57,49,
49,57,49,57,49,57,49,49,
57,49,57,49,57,49,57,49,
49,57,49,57,49,57,49,57,
57,49,57,49,57,49,57,49,
49,57,49,57,49,57,49,57,
57,49,57,49,57,49,57,49,
49,57,49,57,49,57,49,57,
57,49,57,49,57,49,57,49,
57,57,49,57,57,57,49,57,
57,49,57,49,57,49,57,49,
49,57,57,57,49,57,49,57,
57,49,57,49,57,49,57,49,
57,57,49,57,57,57,49,57,
57,49,57,49,57,49,57,49,
49,57,49,57,49,57,57,57,
57,49,57,49,57,49,57,49,
57,57,57,57,57,57,49,57,
57,49,57,49,57,49,57,49,
57,57,57,57,57,57,57,57,
57,49,57,49,57,49,57,49,
57,57,49,57,57,57,57,57,
57,49,57,49,57,49,57,49,
57,57,57,57,57,57,57,57,
57,57,57,49,57,57,57,49,
57,57,57,57,57,57,57,57,
57,49,57,57,57,49,57,49,
57,57,57,57,57,57,57,57,
57,57,57,49,57,57,57,49,
57,57,57,57,57,57,57,57,
57,49,57,49,57,49,57,57,
57,57,57,57,57,57,57,57,
57,57,57,57,57,57,57,49,
57,57,57,57,57,57,57,57,
57,57,57,57,57,57,57,57,
57,57,57,57,57,57,57,57,
57,57,57,49,57,57,57,57,
57,57,57,57,57,57,57,57,
57,57,57,57,57,57,57,57,
57,57,57,57,57,57,57,57,
65,57,57,57,65,57,57,57,
57,57,57,57,57,57,57,57,
57,57,65,57,57,57,57,57,
57,57,57,57,57,57,57,57,
65,57,57,57,65,57,57,57,
57,57,57,57,57,57,57,57,
57,57,65,57,57,57,65,57,
57,57,57,57,57,57,57,57,
65,57,65,57,65,57,57,57,
57,57,57,57,57,57,57,57,
65,57,65,57,65,57,65,57,
57,57,57,57,57,57,57,57,
65,57,65,57,65,57,65,57,
57,57,57,57,57,57,57,57,
65,57,65,57,65,57,65,57,
57,57,57,57,57,57,57,57,
65,57,65,57,65,57,65,57,
57,65,57,57,57,65,57,57,
65,57,65,57,65,57,65,57,
57,57,57,65,57,57,57,57,
65,57,65,57,65,57,65,57,
57,65,57,57,57,65,57,57,
65,57,65,57,65,57,65,57,
57,57,57,65,57,57,57,65,
65,57,65,57,65,57,65,57,
57,65,57,65,57,65,57,57,
65,57,65,57,65,57,65,57,
57,65,57,65,57,65,57,65,
65,57,65,57,65,57,65,57,
57,65,57,65,57,65,57,65,
65,57,65,57,65,57,65,57,
57,65,57,65,57,65,57,65,
65,57,65,57,65,57,65,57,
65,65,57,65,65,65,57,65,
65,57,65,57,65,57,65,57,
57,65,65,65,57,65,57,65,
65,57,65,57,65,57,65,57,
65,65,57,65,65,65,57,65,
65,57,65,57,65,57,65,57,
57,65,57,65,57,65,65,65,
65,57,65,57,65,57,65,57,
65,65,65,65,65,65,57,65,
65,57,65,57,65,57,65,57,
65,65,65,65,65,65,65,65,
65,57,65,57,65,57,65,57,
65,65,57,65,65,65,65,65,
65,57,65,57,65,57,65,57,
65,65,65,65,65,65,65,65,
65,65,65,57,65,65,65,57,
65,65,65,65,65,65,65,65,
65,57,65,65,65,57,65,57,
65,65,65,65,65,65,65,65,
65,65,65,57,65,65,65,57,
65,65,65,65,65,65,65,65,
65,57,65,57,65,57,65,65,
65,65,65,65,65,65,65,65,
65,65,65,65,65,65,65,57,
65,65,65,65,65,65,65,65,
65,65,65,65,65,65,65,65,
65,65,65,65,65,65,65,65,
65,65,65,57,65,65,65,65,
65,65,65,65,65,65,65,65,
65,65,65,65,65,65,65,65,
65,65,65,65,65,65,65,65,
74,65,65,65,74,65,65,65,
65,65,65,65,65,65,65,65,
65,65,74,65,65,65,65,65,
65,65,65,65,65,65,65,65,
74,65,65,65,74,65,65,65,
65,65,65,65,65,65,65,65,
65,65,74,65,65,65,74,65,
65,65,65,65,65,65,65,65,
74,65,74,65,74,65,65,65,
65,65,65,65,65,65,65,65,
74,65,74,65,74,65,74,65,
65,65,65,65,65,65,65,65,
74,65,74,65,74,65,74,65,
65,65,65,65,65,65,65,65,
74,65,74,65,74,65,74,65,
65,65,65,65,65,65,65,65,
74,65,74,65,74,65,74,65,
65,74,65,65,65,74,65,65,
74,65,74,65,74,65,74,65,
65,65,65,74,65,65,65,65,
74,65,74,65,74,65,74,65,
65,74,65,65,65,74,65,65,
74,65,74,65,74,65,74,65,
65,65,65,74,65,65,65,74,
74,65,74,65,74,65,74,65,
65,74,65,74,65,74,65,65,
74,65,74,65,74,65,74,65,
65,74,65,74,65,74,65,74,
74,65,74,65,74,65,74,65,
65,74,65,74,65,74,65,74,
74,65,74,65,74,65,74,65,
65,74,65,74,65,74,65,74,
74,65,74,65,74,65,74,65,
74,74,65,74,74,74,65,74,
74,65,74,65,74,65,74,65,
65,74,74,74,65,74,65,74,
74,65,74,65,74,65,74,65,
74,74,65,74,74,74,65,74,
74,65,74,65,74,65,74,65,
65,74,65,74,65,74,74,74,
74,65,74,65,74,65,74,65,
74,74,74,74,74,74,65,74,
74,65,74,65,74,65,74,65,
74,74,74,74,74,74,74,74,
74,65,74,65,74,65,74,65,
74,74,65,74,74,74,74,74,
74,65,74,65,74,65,74,65,
74,74,74,74,74,74,74,74,
74,74,74,65,74,74,74,65,
74,74,74,74,74,74,74,74,
74,65,74,74,74,65,74,65,
74,74,74,74,74,74,74,74,
74,74,74,65,74,74,74,65,
74,74,74,74,74,74,74,74,
74,65,74,65,74,65,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,65,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,65,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
74,74,74,74,74,74,74,74,
82,74,74,74,82,74,74,74,
74,74,74,74,74,74,74,74,
74,74,82,74,74,74,74,74,
74,74,74,74,74,74,74,74,
82,74,74,74,82,74,74,74,
74,74,74,74,74,74,74,74,
74,74,82,74,74,74,82,74,
74,74,74,74,74,74,74,74,
82,74,82,74,82,74,74,74,
74,74,74,74,74,74,74,74,
82,74,82,74,82,74,82,74,
74,74,74,74,74,74,74,74,
82,74,82,74,82,74,82,74,
74,74,74,74,74,74,74,74,
82,74,82,74,82,74,82,74,
74,74,74,74,74,74,74,74,
82,74,82,74,82,74,82,74,
74,82,74,74,74,82,74,74,
82,74,82,74,82,74,82,74,
74,74,74,82,74,74,74,74,
82,74,82,74,82,74,82,74,
74,82,74,74,74,82,74,74,
82,74,82,74,82,74,82,74,
74,74,74,82,74,74,74,82,
82,74,82,74,82,74,82,74,
74,82,74,82,74,82,74,74,
82,74,82,74,82,74,82,74,
74,82,74,82,74,82,74,82,
82,74,82,74,82,74,82,74,
74,82,74,82,74,82,74,82,
82,74,82,74,82,74,82,74,
74,82,74,82,74,82,74,82,
82,74,82,74,82,74,82,74,
82,82,74,82,82,82,74,82,
82,74,82,74,82,74,82,74,
74,82,82,82,74,82,74,82,
82,74,82,74,82,74,82,74,
82,82,74,82,82,82,74,82,
82,74,82,74,82,74,82,74,
74,82,74,82,74,82,82,82,
82,74,82,74,82,74,82,74,
82,82,82,82,82,82,74,82,
82,74,82,74,82,74,82,74,
82,82,82,82,82,82,82,82,
82,74,82,74,82,74,82,74,
82,82,74,82,82,82,82,82,
82,74,82,74,82,74,82,74,
82,82,82,82,82,82,82,82,
82,82,82,74,82,82,82,74,
82,82,82,82,82,82,82,82,
82,74,82,82,82,74,82,74,
82,82,82,82,82,82,82,82,
82,82,82,74,82,82,82,74,
82,82,82,82,82,82,82,82,
82,74,82,74,82,74,82,82,
82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,74,
82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,
82,82,82,74,82,82,82,82,
82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,
82,82,82,82,82,82,82,82,
90,82,82,82,90,82,82,82,
82,82,82,82,82,82,82,82,
82,82,90,82,82,82,82,82,
82,82,82,82,82,82,82,82,
90,82,82,82,90,82,82,82,
82,82,82,82,82,82,82,82,
82,82,90,82,82,82,90,82,
82,82,82,82,82,82,82,82,
90,82,90,82,90,82,82,82,
82,82,82,82,82,82,82,82,
90,82,90,82,90,82,90,82,
82,82,82,82,82,82,82,82,
90,82,90,82,90,82,90,82,
82,82,82,82,82,82,82,82,
90,82,90,82,90,82,90,82,
82,82,82,82,82,82,82,82,
90,82,90,82,90,82,90,82,
82,90,82,82,82,90,82,82,
90,82,90,82,90,82,90,82,
82,82,82,90,82,82,82,82,
90,82,90,82,90,82,90,82,
82,90,82,82,82,90,82,82,
90,82,90,82,90,82,90,82,
82,82,82,90,82,82,82,90,
90,82,90,82,90,82,90,82,
82,90,82,90,82,90,82,82,
90,82,90,82,90,82,90,82,
82,90,82,90,82,90,82,90,
90,82,90,82,90,82,90,82,
82,90,82,90,82,90,82,90,
90,82,90,82,90,82,90,82,
82,90,82,90,82,90,82,90,
90,82,90,82,90,82,90,82,
90,90,82,90,90,90,82,90,
90,82,90,82,90,82,90,82,
82,90,90,90,82,90,82,90,
90,82,90,82,90,82,90,82,
90,90,82,90,90,90,82,90,
90,82,90,82,90,82,90,82,
82,90,82,90,82,90,90,90,
90,82,90,82,90,82,90,82,
90,90,90,90,90,90,82,90,
90,82,90,82,90,82,90,82,
90,90,90,90,90,90,90,90,
90,82,90,82,90,82,90,82,
90,90,82,90,90,90,90,90,
90,82,90,82,90,82,90,82,
90,90,90,90,90,90,90,90,
90,90,90,82,90,90,90,82,
90,90,90,90,90,90,90,90,
90,82,90,90,90,82,90,82,
90,90,90,90,90,90,90,90,
90,90,90,82,90,90,90,82,
90,90,90,90,90,90,90,90,
90,82,90,82,90,82,90,90,
90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,82,
90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,
90,90,90,82,90,90,90,90,
90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,
98,90,90,90,98,90,90,90,
90,90,90,90,90,90,90,90,
90,90,98,90,90,90,90,90,
90,90,90,90,90,90,90,90,
98,90,90,90,98,90,90,90,
90,90,90,90,90,90,90,90,
90,90,98,90,90,90,98,90,
90,90,90,90,90,90,90,90,
98,90,98,90,98,90,90,90,
90,90,90,90,90,90,90,90,
98,90,98,90,98,90,98,90,
90,90,90,90,90,90,90,90,
98,90,98,90,98,90,98,90,
90,90,90,90,90,90,90,90,
98,90,98,90,98,90,98,90,
90,90,90,90,90,90,90,90,
98,90,98,90,98,90,98,90,
90,98,90,90,90,98,90,90,
98,90,98,90,98,90,98,90,
90,90,90,98,90,90,90,90,
98,90,98,90,98,90,98,90,
90,98,90,90,90,98,90,90,
98,90,98,90,98,90,98,90,
90,90,90,98,90,90,90,98,
98,90,98,90,98,90,98,90,
90,98,90,98,90,98,90,90,
98,90,98,90,98,90,98,90,
90,98,90,98,90,98,90,98,
98,90,98,90,98,90,98,90,
90,98,90,98,90,98,90,98,
98,90,98,90,98,90,98,90,
90,98,90,98,90,98,90,98,
98,90,98,90,98,90,98,90,
98,98,90,98,98,98,90,98,
98,90,98,90,98,90,98,90,
90,98,98,98,90,98,90,98,
98,90,98,90,98,90,98,90,
98,98,90,98,98,98,90,98,
98,90,98,90,98,90,98,90,
90,98,90,98,90,98,98,98,
98,90,98,90,98,90,98,90,
98,98,98,98,98,98,90,98,
98,90,98,90,98,90,98,90,
98,98,98,98,98,98,98,98,
98,90,98,90,98,90,98,90,
98,98,90,98,98,98,98,98,
98,90,98,90,98,90,98,90,
98,98,98,98,98,98,98,98,
98,98,98,90,98,98,98,90,
98,98,98,98,98,98,98,98,
98,90,98,98,98,90,98,90,
98,98,98,98,98,98,98,98,
98,98,98,90,98,98,98,90,
98,98,98,98,98,98,98,98,
98,90,98,90,98,90,98,98,
98,98,98,98,98,98,98,98,
98,98,98,98,98,98,98,90,
98,98,98,98,98,98,98,98,
98,98,98,98,98,98,98,98,
98,98,98,98,98,98,98,98,
98,98,98,90,98,98,98,98,
98,98,98,98,98,98,98,98,
98,98,98,98,98,98,98,98,
98,98,98,98,98,98,98,98,
106,98,98,98,106,98,98,98,
98,98,98,98,98,98,98,98,
98,98,106,98,98,98,98,98,
98,98,98,98,98,98,98,98,
106,98,98,98,106,98,98,98,
98,98,98,98,98,98,98,98,
98,98,106,98,98,98,106,98,
98,98,98,98,98,98,98,98,
106,98,106,98,106,98,98,98,
98,98,98,98,98,98,98,98,
106,98,106,98,106,98,106,98,
98,98,98,98,98,98,98,98,
106,98,106,98,106,98,106,98,
98,98,98,98,98,98,98,98,
106,98,106,98,106,98,106,98,
98,98,98,98,98,98,98,98,
106,98,106,98,106,98,106,98,
98,106,98,98,98,106,98,98,
106,98,106,98,106,98,106,98,
98,98,98,106,98,98,98,98,
106,98,106,98,106,98,106,98,
98,106,98,98,98,106,98,98,
106,98,106,98,106,98,106,98,
98,98,98,106,98,98,98,106,
106,98,106,98,106,98,106,98,
98,106,98,106,98,106,98,98,
106,98,106,98,106,98,106,98,
98,106,98,106,98,106,98,106,
106,98,106,98,106,98,106,98,
98,106,98,106,98,106,98,106,
106,98,106,98,106,98,106,98,
98,106,98,106,98,106,98,106,
106,98,106,98,106,98,106,98,
106,106,98,106,106,106,98,106,
106,98,106,98,106,98,106,98,
98,106,106,106,98,106,98,106,
106,98,106,98,106,98,106,98,
106,106,98,106,106,106,98,106,
106,98,106,98,106,98,106,98,
98,106,98,106,98,106,106,106,
106,98,106,98,106,98,106,98,
106,106,106,106,106,106,98,106,
106,98,106,98,106,98,106,98,
106,106,106,106,106,106,106,106,
106,98,106,98,106,98,106,98,
106,106,98,106,106,106,106,106,
106,98,106,98,106,98,106,98,
106,106,106,106,106,106,106,106,
106,106,106,98,106,106,106,98,
106,106,106,106,106,106,106,106,
106,98,106,106,106,98,106,98,
106,106,106,106,106,106,106,106,
106,106,106,98,106,106,106,98,
106,106,106,106,106,106,106,106,
106,98,106,98,106,98,106,106,
106,106,106,106,106,106,106,106,
106,106,106,106,106,106,106,98,
106,106,106,106,106,106,106,106,
106,106,106,106,106,106,106,106,
106,106,106,106,106,106,106,106,
106,106,106,98,106,106,106,106,
106,106,106,106,106,106,106,106,
106,106,106,106,106,106,106,106,
106,106,106,106,106,106,106,106,
115,106,106,106,115,106,106,106,
106,106,106,106,106,106,106,106,
106,106,115,106,106,106,106,106,
106,106,106,106,106,106,106,106,
115,106,106,106,115,106,106,106,
106,106,106,106,106,106,106,106,
106,106,115,106,106,106,115,106,
106,106,106,106,106,106,106,106,
115,106,115,106,115,106,106,106,
106,106,106,106,106,106,106,106,
115,106,115,106,115,106,115,106,
106,106,106,106,106,106,106,106,
115,106,115,106,115,106,115,106,
106,106,106,106,106,106,106,106,
115,106,115,106,115,106,115,106,
106,106,106,106,106,106,106,106,
115,106,115,106,115,106,115,106,
106,115,106,106,106,115,106,106,
115,106,115,106,115,106,115,106,
106,106,106,115,106,106,106,106,
115,106,115,106,115,106,115,106,
106,115,106,106,106,115,106,106,
115,106,115,106,115,106,115,106,
106,106,106,115,106,106,106,115,
115,106,115,106,115,106,115,106,
106,115,106,115,106,115,106,106,
115,106,115,106,115,106,115,106,
106,115,106,115,106,115,106,115,
115,106,115,106,115,106,115,106,
106,115,106,115,106,115,106,115,
115,106,115,106,115,106,115,106,
106,115,106,115,106,115,106,115,
115,106,115,106,115,106,115,106,
115,115,106,115,115,115,106,115,
115,106,115,106,115,106,115,106,
106,115,115,115,106,115,106,115,
115,106,115,106,115,106,115,106,
115,115,106,115,115,115,106,115,
115,106,115,106,115,106,115,106,
106,115,106,115,106,115,115,115,
115,106,115,106,115,106,115,106,
115,115,115,115,115,115,106,115,
115,106,115,106,115,106,115,106,
115,115,115,115,115,115,115,115,
115,106,115,106,115,106,115,106,
115,115,106,115,115,115,115,115,
115,106,115,106,115,106,115,106,
115,115,115,115,115,115,115,115,
115,115,115,106,115,115,115,106,
115,115,115,115,115,115,115,115,
115,106,115,115,115,106,115,106,
115,115,115,115,115,115,115,115,
115,115,115,106,115,115,115,106,
115,115,115,115,115,115,115,115,
115,106,115,106,115,106,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,106,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,106,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
115,115,115,115,115,115,115,115,
123,115,115,115,123,115,115,115,
115,115,115,115,115,115,115,115,
115,115,123,115,115,115,115,115,
115,115,115,115,115,115,115,115,
123,115,115,115,123,115,115,115,
115,115,115,115,115,115,115,115,
115,115,123,115,115,115,123,115,
115,115,115,115,115,115,115,115,
123,115,123,115,123,115,115,115,
115,115,115,115,115,115,115,115,
123,115,123,115,123,115,123,115,
115,115,115,115,115,115,115,115,
123,115,123,115,123,115,123,115,
115,115,115,115,115,115,115,115,
123,115,123,115,123,115,123,115,
115,115,115,115,115,115,115,115,
123,115,123,115,123,115,123,115,
115,123,115,115,115,123,115,115,
123,115,123,115,123,115,123,115,
115,115,115,123,115,115,115,115,
123,115,123,115,123,115,123,115,
115,123,115,115,115,123,115,115,
123,115,123,115,123,115,123,115,
115,115,115,123,115,115,115,123,
123,115,123,115,123,115,123,115,
115,123,115,123,115,123,115,115,
123,115,123,115,123,115,123,115,
115,123,115,123,115,123,115,123,
123,115,123,115,123,115,123,115,
115,123,115,123,115,123,115,123,
123,115,123,115,123,115,123,115,
115,123,115,123,115,123,115,123,
123,115,123,115,123,115,123,115,
123,123,115,123,123,123,115,123,
123,115,123,115,123,115,123,115,
115,123,123,123,115,123,115,123,
123,115,123,115,123,115,123,115,
123,123,115,123,123,123,115,123,
123,115,123,115,123,115,123,115,
115,123,115,123,115,123,123,123,
123,115,123,115,123,115,123,115,
123,123,123,123,123,123,115,123,
123,115,123,115,123,115,123,115,
123,123,123,123,123,123,123,123,
123,115,123,115,123,115,123,115,
123,123,115,123,123,123,123,123,
123,115,123,115,123,115,123,115,
123,123,123,123,123,123,123,123,
123,123,123,115,123,123,123,115,
123,123,123,123,123,123,123,123,
123,115,123,123,123,115,123,115,
123,123,123,123,123,123,123,123,
123,123,123,115,123,123,123,115,
123,123,123,123,123,123,123,123,
123,115,123,115,123,115,123,123,
123,123,123,123,123,123,123,123,
123,123,123,123,123,123,123,115,
123,123,123,123,123,123,123,123,
123,123,123,123,123,123,123,123,
123,123,123,123,123,123,123,123,
123,123,123,115,123,123,123,123,
123,123,123,123,123,123,123,123,
123,123,123,123,123,123,123,123,
123,123,123,123,123,123,123,123,
131,123,123,123,131,123,123,123,
123,123,123,123,123,123,123,123,
123,123,131,123,123,123,123,123,
123,123,123,123,123,123,123,123,
131,123,123,123,131,123,123,123,
123,123,123,123,123,123,123,123,
123,123,131,123,123,123,131,123,
123,123,123,123,123,123,123,123,
131,123,131,123,131,123,123,123,
123,123,123,123,123,123,123,123,
131,123,131,123,131,123,131,123,
123,123,123,123,123,123,123,123,
131,123,131,123,131,123,131,123,
123,123,123,123,123,123,123,123,
131,123,131,123,131,123,131,123,
123,123,123,123,123,123,123,123,
131,123,131,123,131,123,131,123,
123,131,123,123,123,131,123,123,
131,123,131,123,131,123,131,123,
123,123,123,131,123,123,123,123,
131,123,131,123,131,123,131,123,
123,131,123,123,123,131,123,123,
131,123,131,123,131,123,131,123,
123,123,123,131,123,123,123,131,
131,123,131,123,131,123,131,123,
123,131,123,131,123,131,123,123,
131,123,131,123,131,123,131,123,
123,131,123,131,123,131,123,131,
131,123,131,123,131,123,131,123,
123,131,123,131,123,131,123,131,
131,123,131,123,131,123,131,123,
123,131,123,131,123,131,123,131,
131,123,131,123,131,123,131,123,
131,131,123,131,131,131,123,131,
131,123,131,123,131,123,131,123,
123,131,131,131,123,131,123,131,
131,123,131,123,131,123,131,123,
131,131,123,131,131,131,123,131,
131,123,131,123,131,123,131,123,
123,131,123,131,123,131,131,131,
131,123,131,123,131,123,131,123,
131,131,131,131,131,131,123,131,
131,123,131,123,131,123,131,123,
131,131,131,131,131,131,131,131,
131,123,131,123,131,123,131,123,
131,131,123,131,131,131,131,131,
131,123,131,123,131,123,131,123,
131,131,131,131,131,131,131,131,
131,131,131,123,131,131,131,123,
131,131,131,131,131,131,131,131,
131,123,131,131,131,123,131,123,
131,131,131,131,131,131,131,131,
131,131,131,123,131,131,131,123,
131,131,131,131,131,131,131,131,
131,123,131,123,131,123,131,131,
131,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,123,
131,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,131,
131,131,131,123,131,131,131,131,
131,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,131,
131,131,131,131,131,131,131,131,
139,131,131,131,139,131,131,131,
131,131,131,131,131,131,131,131,
131,131,139,131,131,131,131,131,
131,131,131,131,131,131,131,131,
139,131,131,131,139,131,131,131,
131,131,131,131,131,131,131,131,
131,131,139,131,131,131,139,131,
131,131,131,131,131,131,131,131,
139,131,139,131,139,131,131,131,
131,131,131,131,131,131,131,131,
139,131,139,131,139,131,139,131,
131,131,131,131,131,131,131,131,
139,131,139,131,139,131,139,131,
131,131,131,131,131,131,131,131,
139,131,139,131,139,131,139,131,
131,131,131,131,131,131,131,131,
139,131,139,131,139,131,139,131,
131,139,131,131,131,139,131,131,
139,131,139,131,139,131,139,131,
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189,189,197,189,189,189,197,189,
189,189,189,189,189,189,189,189,
197,189,197,189,197,189,189,189,
189,189,189,189,189,189,189,189,
197,189,197,189,197,189,197,189,
189,189,189,189,189,189,189,189,
197,189,197,189,197,189,197,189,
189,189,189,189,189,189,189,189,
197,189,197,189,197,189,197,189,
189,189,189,189,189,189,189,189,
197,189,197,189,197,189,197,189,
189,197,189,189,189,197,189,189,
197,189,197,189,197,189,197,189,
189,189,189,197,189,189,189,189,
197,189,197,189,197,189,197,189,
189,197,189,189,189,197,189,189,
197,189,197,189,197,189,197,189,
189,189,189,197,189,189,189,197,
197,189,197,189,197,189,197,189,
189,197,189,197,189,197,189,189,
197,189,197,189,197,189,197,189,
189,197,189,197,189,197,189,197,
197,189,197,189,197,189,197,189,
189,197,189,197,189,197,189,197,
197,189,197,189,197,189,197,189,
189,197,189,197,189,197,189,197,
197,189,197,189,197,189,197,189,
197,197,189,197,197,197,189,197,
197,189,197,189,197,189,197,189,
189,197,197,197,189,197,189,197,
197,189,197,189,197,189,197,189,
197,197,189,197,197,197,189,197,
197,189,197,189,197,189,197,189,
189,197,189,197,189,197,197,197,
197,189,197,189,197,189,197,189,
197,197,197,197,197,197,189,197,
197,189,197,189,197,189,197,189,
197,197,197,197,197,197,197,197,
197,189,197,189,197,189,197,189,
197,197,189,197,197,197,197,197,
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197,197,197,197,197,197,197,197,
197,197,197,189,197,197,197,189,
197,197,197,197,197,197,197,197,
197,189,197,197,197,189,197,189,
197,197,197,197,197,197,197,197,
197,197,197,189,197,197,197,189,
197,197,197,197,197,197,197,197,
197,189,197,189,197,189,197,197,
197,197,197,197,197,197,197,197,
197,197,197,197,197,197,197,189,
197,197,197,197,197,197,197,197,
197,197,197,197,197,197,197,197,
197,197,197,197,197,197,197,197,
197,197,197,189,197,197,197,197,
197,197,197,197,197,197,197,197,
197,197,197,197,197,197,197,197,
197,197,197,197,197,197,197,197,
205,197,197,197,205,197,197,197,
197,197,197,197,197,197,197,197,
197,197,205,197,197,197,197,197,
197,197,197,197,197,197,197,197,
205,197,197,197,205,197,197,197,
197,197,197,197,197,197,197,197,
197,197,205,197,197,197,205,197,
197,197,197,197,197,197,197,197,
205,197,205,197,205,197,197,197,
197,197,197,197,197,197,197,197,
205,197,205,197,205,197,205,197,
197,197,197,197,197,197,197,197,
205,197,205,197,205,197,205,197,
197,197,197,197,197,197,197,197,
205,197,205,197,205,197,205,197,
197,197,197,197,197,197,197,197,
205,197,205,197,205,197,205,197,
197,205,197,197,197,205,197,197,
205,197,205,197,205,197,205,197,
197,197,197,205,197,197,197,197,
205,197,205,197,205,197,205,197,
197,205,197,197,197,205,197,197,
205,197,205,197,205,197,205,197,
197,197,197,205,197,197,197,205,
205,197,205,197,205,197,205,197,
197,205,197,205,197,205,197,197,
205,197,205,197,205,197,205,197,
197,205,197,205,197,205,197,205,
205,197,205,197,205,197,205,197,
197,205,197,205,197,205,197,205,
205,197,205,197,205,197,205,197,
197,205,197,205,197,205,197,205,
205,197,205,197,205,197,205,197,
205,205,197,205,205,205,197,205,
205,197,205,197,205,197,205,197,
197,205,205,205,197,205,197,205,
205,197,205,197,205,197,205,197,
205,205,197,205,205,205,197,205,
205,197,205,197,205,197,205,197,
197,205,197,205,197,205,205,205,
205,197,205,197,205,197,205,197,
205,205,205,205,205,205,197,205,
205,197,205,197,205,197,205,197,
205,205,205,205,205,205,205,205,
205,197,205,197,205,197,205,197,
205,205,197,205,205,205,205,205,
205,197,205,197,205,197,205,197,
205,205,205,205,205,205,205,205,
205,205,205,197,205,205,205,197,
205,205,205,205,205,205,205,205,
205,197,205,205,205,197,205,197,
205,205,205,205,205,205,205,205,
205,205,205,197,205,205,205,197,
205,205,205,205,205,205,205,205,
205,197,205,197,205,197,205,205,
205,205,205,205,205,205,205,205,
205,205,205,205,205,205,205,197,
205,205,205,205,205,205,205,205,
205,205,205,205,205,205,205,205,
205,205,205,205,205,205,205,205,
205,205,205,197,205,205,205,205,
205,205,205,205,205,205,205,205,
205,205,205,205,205,205,205,205,
205,205,205,205,205,205,205,205,
213,205,205,205,213,205,205,205,
205,205,205,205,205,205,205,205,
205,205,213,205,205,205,205,205,
205,205,205,205,205,205,205,205,
213,205,205,205,213,205,205,205,
205,205,205,205,205,205,205,205,
205,205,213,205,205,205,213,205,
205,205,205,205,205,205,205,205,
213,205,213,205,213,205,205,205,
205,205,205,205,205,205,205,205,
213,205,213,205,213,205,213,205,
205,205,205,205,205,205,205,205,
213,205,213,205,213,205,213,205,
205,205,205,205,205,205,205,205,
213,205,213,205,213,205,213,205,
205,205,205,205,205,205,205,205,
213,205,213,205,213,205,213,205,
205,213,205,205,205,213,205,205,
213,205,213,205,213,205,213,205,
205,205,205,213,205,205,205,205,
213,205,213,205,213,205,213,205,
205,213,205,205,205,213,205,205,
213,205,213,205,213,205,213,205,
205,205,205,213,205,205,205,213,
213,205,213,205,213,205,213,205,
205,213,205,213,205,213,205,205,
213,205,213,205,213,205,213,205,
205,213,205,213,205,213,205,213,
213,205,213,205,213,205,213,205,
205,213,205,213,205,213,205,213,
213,205,213,205,213,205,213,205,
205,213,205,213,205,213,205,213,
213,205,213,205,213,205,213,205,
213,213,205,213,213,213,205,213,
213,205,213,205,213,205,213,205,
205,213,213,213,205,213,205,213,
213,205,213,205,213,205,213,205,
213,213,205,213,213,213,205,213,
213,205,213,205,213,205,213,205,
205,213,205,213,205,213,213,213,
213,205,213,205,213,205,213,205,
213,213,213,213,213,213,205,213,
213,205,213,205,213,205,213,205,
213,213,213,213,213,213,213,213,
213,205,213,205,213,205,213,205,
213,213,205,213,213,213,213,213,
213,205,213,205,213,205,213,205,
213,213,213,213,213,213,213,213,
213,213,213,205,213,213,213,205,
213,213,213,213,213,213,213,213,
213,205,213,213,213,205,213,205,
213,213,213,213,213,213,213,213,
213,213,213,205,213,213,213,205,
213,213,213,213,213,213,213,213,
213,205,213,205,213,205,213,213,
213,213,213,213,213,213,213,213,
213,213,213,213,213,213,213,205,
213,213,213,213,213,213,213,213,
213,213,213,213,213,213,213,213,
213,213,213,213,213,213,213,213,
213,213,213,205,213,213,213,213,
213,213,213,213,213,213,213,213,
213,213,213,213,213,213,213,213,
213,213,213,213,213,213,213,213,
222,213,213,213,222,213,213,213,
213,213,213,213,213,213,213,213,
213,213,222,213,213,213,213,213,
213,213,213,213,213,213,213,213,
222,213,213,213,222,213,213,213,
213,213,213,213,213,213,213,213,
213,213,222,213,213,213,222,213,
213,213,213,213,213,213,213,213,
222,213,222,213,222,213,213,213,
213,213,213,213,213,213,213,213,
222,213,222,213,222,213,222,213,
213,213,213,213,213,213,213,213,
222,213,222,213,222,213,222,213,
213,213,213,213,213,213,213,213,
222,213,222,213,222,213,222,213,
213,213,213,213,213,213,213,213,
222,213,222,213,222,213,222,213,
213,222,213,213,213,222,213,213,
222,213,222,213,222,213,222,213,
213,213,213,222,213,213,213,213,
222,213,222,213,222,213,222,213,
213,222,213,213,213,222,213,213,
222,213,222,213,222,213,222,213,
213,213,213,222,213,213,213,222,
222,213,222,213,222,213,222,213,
213,222,213,222,213,222,213,213,
222,213,222,213,222,213,222,213,
213,222,213,222,213,222,213,222,
222,213,222,213,222,213,222,213,
213,222,213,222,213,222,213,222,
222,213,222,213,222,213,222,213,
213,222,213,222,213,222,213,222,
222,213,222,213,222,213,222,213,
222,222,213,222,222,222,213,222,
222,213,222,213,222,213,222,213,
213,222,222,222,213,222,213,222,
222,213,222,213,222,213,222,213,
222,222,213,222,222,222,213,222,
222,213,222,213,222,213,222,213,
213,222,213,222,213,222,222,222,
222,213,222,213,222,213,222,213,
222,222,222,222,222,222,213,222,
222,213,222,213,222,213,222,213,
222,222,222,222,222,222,222,222,
222,213,222,213,222,213,222,213,
222,222,213,222,222,222,222,222,
222,213,222,213,222,213,222,213,
222,222,222,222,222,222,222,222,
222,222,222,213,222,222,222,213,
222,222,222,222,222,222,222,222,
222,213,222,222,222,213,222,213,
222,222,222,222,222,222,222,222,
222,222,222,213,222,222,222,213,
222,222,222,222,222,222,222,222,
222,213,222,213,222,213,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,213,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,213,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
222,222,222,222,222,222,222,222,
230,222,222,222,230,222,222,222,
222,222,222,222,222,222,222,222,
222,222,230,222,222,222,222,222,
222,222,222,222,222,222,222,222,
230,222,222,222,230,222,222,222,
222,222,222,222,222,222,222,222,
222,222,230,222,222,222,230,222,
222,222,222,222,222,222,222,222,
230,222,230,222,230,222,222,222,
222,222,222,222,222,222,222,222,
230,222,230,222,230,222,230,222,
222,222,222,222,222,222,222,222,
230,222,230,222,230,222,230,222,
222,222,222,222,222,222,222,222,
230,222,230,222,230,222,230,222,
222,222,222,222,222,222,222,222,
230,222,230,222,230,222,230,222,
222,230,222,222,222,230,222,222,
230,222,230,222,230,222,230,222,
222,222,222,230,222,222,222,222,
230,222,230,222,230,222,230,222,
222,230,222,222,222,230,222,222,
230,222,230,222,230,222,230,222,
222,222,222,230,222,222,222,230,
230,222,230,222,230,222,230,222,
222,230,222,230,222,230,222,222,
230,222,230,222,230,222,230,222,
222,230,222,230,222,230,222,230,
230,222,230,222,230,222,230,222,
222,230,222,230,222,230,222,230,
230,222,230,222,230,222,230,222,
222,230,222,230,222,230,222,230,
230,222,230,222,230,222,230,222,
230,230,222,230,230,230,222,230,
230,222,230,222,230,222,230,222,
222,230,230,230,222,230,222,230,
230,222,230,222,230,222,230,222,
230,230,222,230,230,230,222,230,
230,222,230,222,230,222,230,222,
222,230,222,230,222,230,230,230,
230,222,230,222,230,222,230,222,
230,230,230,230,230,230,222,230,
230,222,230,222,230,222,230,222,
230,230,230,230,230,230,230,230,
230,222,230,222,230,222,230,222,
230,230,222,230,230,230,230,230,
230,222,230,222,230,222,230,222,
230,230,230,230,230,230,230,230,
230,230,230,222,230,230,230,222,
230,230,230,230,230,230,230,230,
230,222,230,230,230,222,230,222,
230,230,230,230,230,230,230,230,
230,230,230,222,230,230,230,222,
230,230,230,230,230,230,230,230,
230,222,230,222,230,222,230,230,
230,230,230,230,230,230,230,230,
230,230,230,230,230,230,230,222,
230,230,230,230,230,230,230,230,
230,230,230,230,230,230,230,230,
230,230,230,230,230,230,230,230,
230,230,230,222,230,230,230,230,
230,230,230,230,230,230,230,230,
230,230,230,230,230,230,230,230,
230,230,230,230,230,230,230,230,
238,230,230,230,238,230,230,230,
230,230,230,230,230,230,230,230,
230,230,238,230,230,230,230,230,
230,230,230,230,230,230,230,230,
238,230,230,230,238,230,230,230,
230,230,230,230,230,230,230,230,
230,230,238,230,230,230,238,230,
230,230,230,230,230,230,230,230,
238,230,238,230,238,230,230,230,
230,230,230,230,230,230,230,230,
238,230,238,230,238,230,238,230,
230,230,230,230,230,230,230,230,
238,230,238,230,238,230,238,230,
230,230,230,230,230,230,230,230,
238,230,238,230,238,230,238,230,
230,230,230,230,230,230,230,230,
238,230,238,230,238,230,238,230,
230,238,230,230,230,238,230,230,
238,230,238,230,238,230,238,230,
230,230,230,238,230,230,230,230,
238,230,238,230,238,230,238,230,
230,238,230,230,230,238,230,230,
238,230,238,230,238,230,238,230,
230,230,230,238,230,230,230,238,
238,230,238,230,238,230,238,230,
230,238,230,238,230,238,230,230,
238,230,238,230,238,230,238,230,
230,238,230,238,230,238,230,238,
238,230,238,230,238,230,238,230,
230,238,230,238,230,238,230,238,
238,230,238,230,238,230,238,230,
230,238,230,238,230,238,230,238,
238,230,238,230,238,230,238,230,
238,238,230,238,238,238,230,238,
238,230,238,230,238,230,238,230,
230,238,238,238,230,238,230,238,
238,230,238,230,238,230,238,230,
238,238,230,238,238,238,230,238,
238,230,238,230,238,230,238,230,
230,238,230,238,230,238,238,238,
238,230,238,230,238,230,238,230,
238,238,238,238,238,238,230,238,
238,230,238,230,238,230,238,230,
238,238,238,238,238,238,238,238,
238,230,238,230,238,230,238,230,
238,238,230,238,238,238,238,238,
238,230,238,230,238,230,238,230,
238,238,238,238,238,238,238,238,
238,238,238,230,238,238,238,230,
238,238,238,238,238,238,238,238,
238,230,238,238,238,230,238,230,
238,238,238,238,238,238,238,238,
238,238,238,230,238,238,238,230,
238,238,238,238,238,238,238,238,
238,230,238,230,238,230,238,238,
238,238,238,238,238,238,238,238,
238,238,238,238,238,238,238,230,
238,238,238,238,238,238,238,238,
238,238,238,238,238,238,238,238,
238,238,238,238,238,238,238,238,
238,238,238,230,238,238,238,238,
238,238,238,238,238,238,238,238,
238,238,238,238,238,238,238,238,
238,238,238,238,238,238,238,238,
246,238,238,238,246,238,238,238,
238,238,238,238,238,238,238,238,
238,238,246,238,238,238,238,238,
238,238,238,238,238,238,238,238,
246,238,238,238,246,238,238,238,
238,238,238,238,238,238,238,238,
238,238,246,238,238,238,246,238,
238,238,238,238,238,238,238,238,
246,238,246,238,246,238,238,238,
238,238,238,238,238,238,238,238,
246,238,246,238,246,238,246,238,
238,238,238,238,238,238,238,238,
246,238,246,238,246,238,246,238,
238,238,238,238,238,238,238,238,
246,238,246,238,246,238,246,238,
238,238,238,238,238,238,238,238,
246,238,246,238,246,238,246,238,
238,246,238,238,238,246,238,238,
246,238,246,238,246,238,246,238,
238,238,238,246,238,238,238,238,
246,238,246,238,246,238,246,238,
238,246,238,238,238,246,238,238,
246,238,246,238,246,238,246,238,
238,238,238,246,238,238,238,246,
246,238,246,238,246,238,246,238,
238,246,238,246,238,246,238,238,
246,238,246,238,246,238,246,238,
238,246,238,246,238,246,238,246,
246,238,246,238,246,238,246,238,
238,246,238,246,238,246,238,246,
246,238,246,238,246,238,246,238,
238,246,238,246,238,246,238,246,
246,238,246,238,246,238,246,238,
246,246,238,246,246,246,238,246,
246,238,246,238,246,238,246,238,
238,246,246,246,238,246,238,246,
246,238,246,238,246,238,246,238,
246,246,238,246,246,246,238,246,
246,238,246,238,246,238,246,238,
238,246,238,246,238,246,246,246,
246,238,246,238,246,238,246,238,
246,246,246,246,246,246,238,246,
246,238,246,238,246,238,246,238,
246,246,246,246,246,246,246,246,
246,238,246,238,246,238,246,238,
246,246,238,246,246,246,246,246,
246,238,246,238,246,238,246,238,
246,246,246,246,246,246,246,246,
246,246,246,238,246,246,246,238,
246,246,246,246,246,246,246,246,
246,238,246,246,246,238,246,238,
246,246,246,246,246,246,246,246,
246,246,246,238,246,246,246,238,
246,246,246,246,246,246,246,246,
246,238,246,238,246,238,246,246,
246,246,246,246,246,246,246,246,
246,246,246,246,246,246,246,238,
246,246,246,246,246,246,246,246,
246,246,246,246,246,246,246,246,
246,246,246,246,246,246,246,246,
246,246,246,238,246,246,246,246,
246,246,246,246,246,246,246,246,
246,246,246,246,246,246,246,246,
246,246,246,246,246,246,246,246,
255,246,246,246,255,246,246,246,
246,246,246,246,246,246,246,246,
246,246,255,246,246,246,246,246,
246,246,246,246,246,246,246,246,
255,246,246,246,255,246,246,246,
246,246,246,246,246,246,246,246,
246,246,255,246,246,246,255,246,
246,246,246,246,246,246,246,246,
255,246,255,246,255,246,246,246,
246,246,246,246,246,246,246,246,
255,246,255,246,255,246,255,246,
246,246,246,246,246,246,246,246,
255,246,255,246,255,246,255,246,
246,246,246,246,246,246,246,246,
255,246,255,246,255,246,255,246,
246,246,246,246,246,246,246,246,
255,246,255,246,255,246,255,246,
246,255,246,246,246,255,246,246,
255,246,255,246,255,246,255,246,
246,246,246,255,246,246,246,246,
255,246,255,246,255,246,255,246,
246,255,246,246,246,255,246,246,
255,246,255,246,255,246,255,246,
246,246,246,255,246,246,246,255,
255,246,255,246,255,246,255,246,
246,255,246,255,246,255,246,246,
255,246,255,246,255,246,255,246,
246,255,246,255,246,255,246,255,
255,246,255,246,255,246,255,246,
246,255,246,255,246,255,246,255,
255,246,255,246,255,246,255,246,
246,255,246,255,246,255,246,255,
255,246,255,246,255,246,255,246,
255,255,246,255,255,255,246,255,
255,246,255,246,255,246,255,246,
246,255,255,255,246,255,246,255,
255,246,255,246,255,246,255,246,
255,255,246,255,255,255,246,255,
255,246,255,246,255,246,255,246,
246,255,246,255,246,255,255,255,
255,246,255,246,255,246,255,246,
255,255,255,255,255,255,246,255,
255,246,255,246,255,246,255,246,
255,255,255,255,255,255,255,255,
255,246,255,246,255,246,255,246,
255,255,246,255,255,255,255,255,
255,246,255,246,255,246,255,246,
255,255,255,255,255,255,255,255,
255,255,255,246,255,255,255,246,
255,255,255,255,255,255,255,255,
255,246,255,255,255,246,255,246,
255,255,255,255,255,255,255,255,
255,255,255,246,255,255,255,246,
255,255,255,255,255,255,255,255,
255,246,255,246,255,246,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,246,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,246,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255,
255,255,255,255,255,255,255,255
}
根据本发明，除了可在16位真彩色下平滑显示24位真彩色图像，还可以在16位真彩色下平滑显示32位真彩色图像。与显示24位真彩色图像的不同之处仅在于，对于32位真彩色（RGBA）的显示，除了R、G、B颜色各占8位，还包括8位（1字节）的透明位A，而对透明位的相关处理可以采用已知的技术。
图1
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