2012“TI”杯电子设计竞赛D题声音定位系统设计报告.docx

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2012年“TI”杯四川省电子设计竞赛声音定位系统(D题)竞赛选题: 声音定位系统(D题)学 校: 西南石油大学 参赛队员:杨 杰 刘德雄 康 敏摘 要本设计采用TI公司生产的超低功耗单片机MSP430G2452和G2553分别作为定位系统的声源产生模块和信息处理模块,实现了声音信号的发生、信号收集处理和屏幕显示以及语音提示等功能。该设计采用2节家用1.5V电池供电,实现了低功耗状况下的声音定位系。声源接收单元信号反应灵敏,能较准确的得到信号并及时传送到信号处理单元。以MSP430为主的Launchpad也符合了低功耗的标准,并且可以实现信号的运算处理以及控制LCD液晶屏幕显示测试数据。在定位算法上采用的是归一正方形算法。通过调试修正以后,能实现基本的声源定位并显示。关键词:声音定位 低功耗 MSP430目 录一引言31.1主要任务31.2设计要求4二.方案设计与论证42.1方案对比42.1.1 声源模块52.1.2 接收模块放大芯片52.1.3 单片机MCU62.1.4 显示模块72.1.5 定位算法选择8三硬件电路设计93.1 系统框图93.2声响模块103.3 从单片机最小系统103.4声音接收模块113.5信号处理模块123.6 语音模块12四. 软件设计124.1 软件流程图13五.测试结果与分析145.1 测试方法与仪器155.2 测试数据155.3 测试结果分析155.4 测试结果15参考文献16附录一:17附录二:18附录三:19一、引言 1.1主要任务设计一套声音定位系统。在一块不大于1m2的平板上贴一张500mm350mm的坐标纸,在其四角外侧分别固定安装一个声音接收模块,声音接收模块通过导线将声音信号传输到信息处理模块,声音定位系统根据声响模块通过空气传播到各声音接收模块的声音信号,判定声响模块所在的位置坐标。系统结构示意图如图1所示。图1 声音定位系统结构示意图1.2设计要求【1】. 基本要求(1) 设计制作一个声响模块,含信号产生电路、放大电路和微型扬声器等,每按键一次发声一次,声音信号的基波频率为500Hz左右,声音持续时间约为1s。要求声响模块采用3V以下电池供电,功耗不大于200mW。(2) 设计制作四路声音接收模块,由麦克风、放大电路等组成,并分别与信息处理模块相连接,以便将频率为500Hz左右的信号传送至信息处理模块。(3) 设计制作一个信息处理模块,要求该模块能根据从声音接收模块传来的信号判断声响模块所在位置的x、y坐标,并以数字形式显示x、y坐标值,位置坐标值误差的绝对值不大于30mm。【2】. 发挥部分(1) 改善接收信号的放大电路性能,改进算法,进一步提高定位精度。(2) 控制声响模块以不间断的连续周期波的形式发出声音信号,其基波频率为500Hz左右。当声响模块在坐标纸上移动时,声音定位系统能连续跟踪显示声响模块的x、y坐标值,随机停止声响模块的移动,能立即稳定地显示声响模块的x、y坐标值,误差的绝对值不大于10mm。(3) 具有显示声响模块移动轨迹的功能。当声响模块在坐标纸上按指定路径移动时,液晶显示屏能动态显示声响模块移动的轨迹,显示的轨迹与声响模块移动的路径一致。(4) 其它。二 方案设计与论证2.1方案对比 本设计分以下几个模块组成:声响模块、声音接受模块、信号处理模块。现对模块的选用方案进行论证。2.1.1 声源模块设计要求声响模块采用3V以下电池供电,功耗不大于200mW。方案一:有源蜂鸣器蜂鸣器是一种一体化结构的电子讯响器,采用直流电压供电,广泛应用于计算机、打印机、复印机、报警器、电子玩具、汽车电子设备、电话机、定时器等电子产品中作发声器件。方案二:无源蜂鸣器有源和无源的区别:这里的“源”不是指电源。而是指震荡源。也就是说,有源蜂鸣器内部带震荡源,所以只要一通电就会叫。而无源内部不带震荡源,所以如果用直流信号无法令其鸣叫。必须用2K5K的方波去驱动它。有源蜂鸣器往往比无源的贵,就是因为里面多个震荡电路。方案三:喇叭 8欧0.5瓦喇叭价格实惠,声音响亮,声音纯度较高,并且完全满足本次设计的需求,故本次采用的是喇叭作为发声源。综上所述,选取便宜可控的喇叭更符合设计需要。2.1.2 接收模块放大芯片方案一:LM358LM358 内部包括有两个独立的、高增益、内部频率补偿的双运算放大器,适合于电源电压范围很宽的单电源使用,也适用于双电源工作模式,在推荐的工作条件下,电源电流与电源电压无关。它的使用范围包括传感放大器、直流增益模块和其他所有可用单电源供电的使用运算放大器的场合。图2 lm358结构图方案二:LM368LM386是美国国家半导体公司生产的音频功率放大器,主要应用于低电压消费类产品。为使外围元件最少,电压增益内置为20。但在1脚和8脚之间增加一只外接电阻和电容,便可将电压增益调为任意值,直至 200。输入端以地为参考,同时输出端被自动偏置到电源电压的一半,在6V电源电压下,它的静态功耗仅为24mW,使得LM386特别适用于电池供电的场合。图3 lm386管脚图方案三:LM393LM393是高增益,宽频带器件,象大多数比较器一样,如果输出端到输入端有寄生电容而产生耦合,则很容易产生振荡。这种现象仅仅出现在当比较器改变状态时,输出电压过渡的间隙,电源加旁路滤波并不能解决这个问题,标准PC板的设计对减小输入输出寄生电容耦合是有助的。减小输入电阻至小于10K将减小反馈信号,而且增加甚至很小的正反馈量(滞回1.010mV)能导致快速转换,使得不可能产生由于寄生电容引起的振荡,除非利用滞后,否则直接插入IC 并在引脚上加上电阻将引起输入输出在很短的转换周期内振荡,如果输入信号时脉冲波形,并且上升和下降时间相当快,则滞回将不需要。图4 lm393管脚图由于接收信号微弱,要得到更精准的声源信号,选取了工作电源范围更宽、输入失调电压更小的LM393。2.1.3 单片机MCU方案一:MSP430MSP430系列单片机是美国德州仪器公司(TI)1996年开始推向市场的一种16位超低功耗、具有精简指令集的混合信号处理器。称之为混合信号处理器,是由于其针对实际应用需求,将多个不同功能的模拟电路、数字电路模块和微处理器集成在一个芯片上,以提供“单片机”解决方案。该系列单片机多应用于需要电池供电的便携式仪器仪表中。方案二:AT89C51AT89C51是一种带4K字节FLASH存储器的低电压、高性能CMOS8位微处理器,俗称单片机。AT89C2051是一种带2K字节闪存可编程可擦除只读存储器的单片机。单片机的可擦除只读存储器可以反复擦除1000次。该器件采用ATMEL高密度非易失存储器制造技术制造,与工业标准的MCS-51指令集和输出管脚相兼容。由于将多功能8位CPU和闪烁存储器组合在单个芯片中,ATMEL的AT89C51是一种高效微控制器,AT89C2051是它的一种精简版本。AT89C51单片机为很多嵌入式控制系统提供了一种灵活性高且价廉的方案。设计需要2片MCU,都采用TI公司提供的MSP430G2xxx系列芯片。其中声源产生模块选用以MSP430G2452为核心的单片机最小系统;信息处理系统采用MSP430G2553为主的Launchpad作为数据处理和显示模块控制。2.1.4 显示模块方案一:LCD12864LCD12864为带中文字库的128X64 是一种具有4位/8位并行、2线或3线串行多种接口方式,内部含有国标一级、二级简体中文字库的点阵图形液晶显示模块。其显示分辨率为12864, 内置8192 个16*16 点汉字,和128 个16*8 点ASCII 字符集.利用该模块灵活的接口方式和简单方便的操作指令,可构成全中文人机交互图形界面。可以显示84 行1616 点阵的汉字. 也可完成图形显示.低电压低功耗是其又一显著特点。由该模块构成的液晶显示方案与同类型的图形点阵液晶显示模块相比,不论硬件电路结构或显示程序都要简洁得多,且该模块的价格也略低于相同点阵的图形液晶模块。方案二:LED显示屏LED显示屏:又称电子显示屏或者飘字屏幕。是由LED点阵列和led pc 面板组成,通过红色,蓝色,绿色LED灯的亮灭来显示文字、图片、动画、视频,内容可以随时更换,各部分组件都是模块化结构的显示器件。传统LED显示屏通常由显示模块、控制系统及电源系统组成。显示模块由LED灯组成的点阵构成,负责发光显示;控制系统通过控制相应区域的亮灭,可以让屏幕显示文字、图片、视频等内容,单色、双色屏主要用来播放文字的,全彩屏主要是播放动画的;电源系统负责将输入电压电流转为显示屏需要的电压电流。本次大赛要求的是128*64以上分辨率的显示屏,所以选择LCD12864就能满足设计要求。并且自带字库,简单方便。故本设计采用LCD显示屏。2.1.5 定位算法选择方案一:直角坐标系法直接采用三个点定位的方法,利用函数关系式算出坐标。如图:图5 直角坐标系法测距根据距离不同,接收声源就会产生时间差,两个时间差,两个变量,故可以求出(x,y)的坐标值。x2+y-352-(x2+y2)=t1-t2*c(x-502+y2)- (x2+y2)=t2-t3*c其中c=340m/s。这种方法虽然思路简单,但是运算量大,将会影响单片机运算速度,增加我们的运算难度,故不采用。方案二:归一化正方形阵图6 归一化正方形归一化正方形算法如图,传感器阵列采用正方形,传感器的位置坐标为(L,L),(-L,L),(-L,-L),(L,-L)。则声源位置(x,y)可由下式算出(式中2L为正方阵的边长,t1,t2,t3分别为传感器2,3,4相对于1的时差,c是传播速度):三硬件电路设计 3.1 系统框图声响模块从单片机声音接收LCD显示主单片机语音播报控制图7 系统总框图系统主要由三大模块组成:声响模块、声音接收模块、信号处理模块。声响模块产生声音信号,由声音接收模块接收信号并产生电流脉冲,经总线系统传送到信号处理模块进行运算处理,将测试数据显示在LCD显示屏上。系统总电路图见附录二。3.2 声响模块图8 声响模块电路图通过单片机产生500Hz的方波信号,利用单管放大后给喇叭发声。其中电位器可对音量进行调节。3.3 从单片机最小系统图9 从单片机最小系统单片机最小系统采用的是TI公司生产的超低功耗的MSP430G2452单片机为核心,其中9号端口为P2.1,实际电路中需和声源模块相连接。3.4声音接收模块图10 接收系统模块电路3.5信号处理模块信号处理模块由总线控制单元,MSP430G2553为核的Launchpad以及LCD显示屏共同组成。单片机内部运算处理后将结果送入LCD显示。图11 主单片机及显示3.6 语音模块采用ISD4004语音录放芯片制作成语音播报模块。利用lm386语音功放芯片放大。四. 软件设计4.1 软件流程图设计采用MSP430G2553为核心的Launchpad负责信号的处理并控制LCD显示屏显示相应数据。主程序流程图如下:开始初始化MCU初始化LCD接收信号进入中断数据处理退出中断LCD显示数据结束中断流程图:进入中断判断先后 x y z j显示数据读取坐标退出中断中断程序开始后,系统首先对声音接收模块采集到的信息进行判断,找到距离声源最近的接收器,再按时间差分别得出其它3个接收器的距离差,再通过单片机就可以计算出声源所在位置,发出屏幕显示数据后退出中断。额外加入了语音播报装置,在每次采集测试数据开始和结束都会进行一次自动语音播报。五 测试结果与分析5.1 测试方法与仪器 先测试4个定点(分别为(10,10)(45,10)(10,25)(45,25)来标定4个声音接收模块的精度等级,然后采取随机取点方式得到测试数据。测试中主要用到的仪器有直流稳压电源,示波器等。5.2 测试数据选中坐标接收时间差测试坐标误差(cm) x y z j(35,15) 3611383471(39,15)4(25,10) 13108303237(23,12)3(40,20) 564135210(39,20)1(15,15) 13775295(21,17)5(25,15) 13108321237(23,12)3测试数据5.3 测试结果分析测试平均误差在5cm以内,部分坐标点能达到3cm标准,符合设计要求。 5.4 测试结果本设计制作完成了题目要求的基本部分的全部要求和发挥部分的大部分要求,达到设计要求。个别指标由于时间有限只完成相应的软件和硬件设计,整体调试还未能全部完成。参考文献1 范红刚,魏学海,陈和.51单片机自学笔记;北京,北京航空航天大学出版社2010年1月第1版2 王宜怀,曹金华.嵌入式系统设计实战;北京,北京航空航天大学出版社2011年5月第1版3 闻怡洋.无线设备编程指南;北京,北京大学出版社2004年7月第1版4 李玉柏.最小系统设计与应用;四川,电子科技大学出版社2012年4月第1版5 钟洪声.电子电路设计技术基础;四川,电子科技大学出版社2012年4月第1版6 王昊,李昕.集成运放应用电路设计360例;北京,电子工业出版社2007年1月7 喻金钱,喻斌.短距离无线通信详解基于单片机控制;北京,北京航空航天大学出版社2009年4月附录一:元器件清单元器件名数量MSP430G25531片MSP430G24521片LP2950-33LPRE31片LM2577S1片LM3934片MIC4个BUZZER1个稳压管78051个LCD128641个电位器若干电阻若干电容若干电池2节电感2个附录二:系统总电路图附录三:程序#include msp430g2553.h#include math.h#define CS12864_SET P2OUT |=BIT0#define CS12864_CLR P2OUT &=BIT0#define SID12864_SET P2OUT |=BIT1#define SID12864_CLR P2OUT &=BIT1#define SCLK12864_SET P2OUT |=BIT2#define SCLK12864_CLR P2OUT &=BIT2signed int s_1=0;signed int s_2=0;unsigned char ss;unsigned char tank=0;unsigned char state=0;/4004unsigned int time=0;unsigned char i;unsigned int temp;#define ISD_SS_SET (P2OUT |=BIT4)#define ISD_SS_CLR (P2OUT &=BIT4)#define ISD_SCK_SET (P2OUT |=BIT3)#define ISD_SCK_CLR (P2OUT &=BIT3)#define ISD_MOSI_SET (P2OUT |=BIT5)#define ISD_MOSI_CLR (P2OUT &=BIT5)/*/ISD4002 spi串行发送子程序,8位数据/*void spi_send(unsigned char isdx) unsigned char isx_counter;ISD_SS_CLR; /ss=0,打开spi通信端ISD_SCK_CLR;for(isx_counter=0;isx_counter1;ISD_SCK_SET;_delay_cycles(6);ISD_SCK_CLR;_delay_cycles(6);/*发送掉电指令,并延迟50msvoid isd_pd(void)/4004 _delay_cycles(10000);spi_send(0x20); ISD_SS_SET; _delay_cycles(60000);spi_send(0x20); ISD_SS_SET; _delay_cycles(120000);void isd_stop()/4004 _delay_cycles(1000); /*spi_send(0); /发送放音起始地址低位 _delay_cycles(3);spi_send(0); /发送放音起始地址高位 _delay_cycles(3);*/spi_send(0x10); /发送setplay指令字节 ISD_SS_SET;void isd_setplay(unsigned char adl,unsigned char adh)/4004 _delay_cycles(10000);spi_send(0x20); ISD_SS_SET; _delay_cycles(25000);_delay_cycles(1000);spi_send(adl); /发送放音起始地址低位/_delay_cycles(3);spi_send(adh); /发送放音起始地址高位 / _delay_cycles(3);spi_send(0xE0); /发送setplay指令字节ISD_SS_SET; _delay_cycles(20);spi_send(0xF0); /发送setplay指令字节 ISD_SS_SET;void isd_rec(unsigned char adl,unsigned char adh)/4004/4004 _delay_cycles(10000);spi_send(0x20); ISD_SS_SET; _delay_cycles(25000);isd_stop();spi_send(0x20); ISD_SS_SET; _delay_cycles(50000);_delay_cycles(1000);spi_send(adl); /发送放音起始地址低位spi_send(adh); /发送放音起始地址高位spi_send(0xa0); /发送setplay指令字节ISD_SS_SET; _delay_cycles(20);spi_send(0xb0); /发送setplay指令字节 ISD_SS_SET;const unsigned char s15136=108,108,107,106,105,105,104,103,103,102,101,101,100,99,99,98,97,97,96,95,95,94,94,93,93,92,92,91,91,90,90,89,89,89,88,88,106,106,105,105,104,103,103,102,101,101,100,99,99,98,97,97,96,96,95,94,94,93,93,92,92,91,91,90,90,89,89,88,88,88,87,87,105,104,104,103,102,102,101,100,100,99,99,98,97,97,96,95,95,94,94,93,93,92,92,91,91,90,90,89,89,88,88,87,87,87,86,86,103,102,102,101,101,100,100,99,98,98,97,97,96,95,95,94,94,93,93,92,91,91,90,90,89,89,89,88,88,87,87,86,86,86,85,85,101,101,100,100,99,99,98,97,97,96,96,95,95,94,93,93,92,92,91,91,90,90,89,89,88,88,87,87,87,86,86,85,85,85,84,84,99,99,98,98,97,97,96,96,95,95,94,94,93,93,92,91,91,90,90,89,89,88,88,88,87,87,86,86,85,85,85,84,84,84,83,83,97,97,96,96,96,95,95,94,94,93,93,92,92,91,91,90,90,89,89,88,88,87,87,86,86,86,85,85,84,84,84,83,83,82,82,82,95,95,95,94,94,93,93,93,92,92,91,91,90,90,89,89,88,88,87,87,86,86,86,85,85,84,84,84,83,83,82,82,82,81,81,81,93,93,93,92,92,92,91,91,90,90,89,89,89,88,88,87,87,86,86,85,85,85,84,84,83,83,83,82,82,82,81,81,81,80,80,80,91,91,91,91,90,90,89,89,89,88,88,87,87,87,86,86,85,85,85,84,84,83,83,83,82,82,81,81,81,80,80,80,79,79,79,79,89,89,89,89,88,88,88,87,87,87,86,86,85,85,85,84,84,83,83,83,82,82,82,81,81,81,80,80,80,79,79,79,78,78,78,77,88,87,87,87,87,86,86,86,85,85,85,84,84,83,83,83,82,82,82,81,81,81,80,80,80,79,79,79,78,78,78,77,77,77,77,76,86,85,85,85,85,84,84,84,84,83,83,83,82,82,82,81,81,80,80,80,80,79,79,79,78,78,78,77,77,77,77,76,76,76,76,75,84,83,83,83,83,83,82,82,82,81,81,81,81,80,80,80,79,79,79,78,78,78,77,77,77,77,76,76,76,76,75,75,75,75,74,74,82,82,81,81,81,81,80,80,80,80,79,79,79,79,78,78,78,77,77,77,77,76,76,76,76,75,75,75,75,74,74,74,74,73,73,73,80,80,79,79,79,79,79,78,78,78,78,77,77,77,77,76,76,76,76,75,75,75,75,74,74,74,74,73,73,73,73,73,72,72,72,72,78,78,77,77,77,77,77,77,76,76,76,76,76,75,75,75,75,74,74,74,74,73,73,73,73,73,72,72,72,72,72,71,71,71,71,71,76,76,76,75,75,75,75,75,75,74,74,74,74,74,73,73,73,73,73,72,72,72,72,72,71,71,71,71,71,70,70,70,70,70,70,70,74,74,74,74,73,73,73,73,73,73,72,72,72,72,72,72,71,71,71,71,71,71,70,70,70,70,70,70,69,69,69,69,69,69,68,68,72,72,72,72,71,71,71,71,71,71,71,71,70,70,70,70,70,70,69,69,69,69,69,69,69,68,68,68,68,68,68,68,68,67,67,67,70,70,70,70,70,69,69,69,69,69,69,69,69,69,68,68,68,68,68,68,68,68,67,67,67,67,67,67,67,67,66,66,66,66,66,66,68,68,68,68,68,68,68,67,67,67,67,67,67,67,67,67,67,66,66,66,66,66,66,66,66,66,66,65,65,65,65,65,65,65,65,65,66,66,66,66,66,66,66,66,66,65,65,65,65,65,65,65,65,65,65,65,65,65,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,61,61,61,61,61,61,61,61,61,61,61,61,61,61,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,59,59,59,59,59,59,59,59,59,59,59,59,59,59,56,56,56,56,56,56,56,56,56,56,56,56,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,58,58,58,54,54,54,54,54,54,54,54,54,55,55,55,55,55,55,55,55,55,55,55,55,55,56,56,56,56,56,56,56,56,56,56,56,56,56,56,52,52,52,52,52,52,52,53,53,53,53,53,53,53,53,53,53,54,54,54,54,54,54,54,54,54,54,55,55,55,55,55,55,55,55,55,50,50,50,50,50,51,51,51,51,51,51,51,51,51,52,52,52,52,52,52,52,52,53,53,53,53,53,53,53,53,54,54,54,54,54,54,48,48,48,48,49,49,49,49,49,49,49,49,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,52,53,53,53,46,46,46,46,47,47,47,47,47,47,48,48,48,48,48,48,49,49,49,49,49,49,50,50,50,50,50,50,51,51,51,51,51,51,52,52,44,44,44,45,45,45,45,45,45,46,46,46,46,46,47,47,47,47,47,48,48,48,48,48,49,49,49,49,49,50,50,50,50,50,50,50,42,42,43,43,43,43,43,43,44,44,44,44,44,45,45,45,45,46,46,46,46,47,47,47,47,47,48,48,48,48,48,49,49,49,49,49,40,40,41,41,41,41,41,42,42,42,42,43,43,43,43,44,44,44,44,45,45,45,45,46,46,46,46,47,47,47,47,47,48,48,48,48,38,38,39,39,39,39,40,40,40,40,41,41,41,41,42,42,42,43,43,43,43,44,44,44,44,45,45,45,45,46,46,46,46,47,47,47,36,37,37,37,37,37,38,38,38,39,39,39,39,40,40,40,41,41,41,42,42,42,43,43,43,43,44,44,44,44,45,45,45,45,46,46,34,35,35,35,35,36,36,36,36,37,37,37,38,38,38,39,39,40,40,40,40,41,41,41,42,42,42,43,43,43,43,44,44,44,44,45,32,33,33,33,33,34,34,34,35,35,35,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,43,43,43,43,44,31,31,31,31,32,32,32,33,33,33,34,34,35,35,35,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,43,29,29,29,29,30,30,31,31,31,32,32,33,33,33,34,34,35,35,35,36,36,37,37,37,38,38,39,39,39,40,40,40,41,41,41,41,27,27,27,28,28,28,29,29,30,30,31,31,31,32,32,33,33,34,34,35,35,35,36,36,37,37,37,38,38,38,39,39,39,40,40,40,25,25,25,26,26,27,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,34,35,35,36,36,36,37,37,38,38,38,39,39,39,23,23,24,24,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,34,34,34,35,35,36,36,36,37,37,38,38,38,21,21,22,22,23,23,24,24,25,25,26,26,27,27,28,29,29,30,30,31,31,32,32,32,33,33,34,34,35,35,35,36,36,36,37,37,19,19,20,20,21,21,22,23,23,24,24,25,25,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,33,34,34,35,35,35,36,36,17,18,18,19,19,20,20,21,22,22,23,23,24,25,25,26,26,27,27,28,29,29,30,30,31,31,31,32,32,33,33,34,34,34,35,35,15,16,16,17,18,18,19,20,20,21,21,22,23,23,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,33,33,33,34,34,14,14,15,15,16,17,17,18,19,19,20,21,21,22,23,23,24,24,25,26,26,27,27,28,28,29,29,30,30,31,31,32,32,32,33,33,12,12,13,14,15,15,16,17,17,18,19,19,20,21,21,22,23,23,24,25,25,26,26,27,27,28,28,29,29,30,30,31,31,31,32,32,;const unsigned char s25136=93,92,90,88,86,84,82,80,78,77,75,73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,42,40,38,36,34,32,30,28,27,93,91,89,87,86,84,82,80,78,76,74,73,71,69,67,65,63,61,59,57,55,53,51,49,47,46,44,42,40,38,36,34,33,31,29,27,92,90,89,87,85,83,82,80,78,76,74,72,70,69,67,65,63,61,59,57,55,53,51,50,48,46,44,42,40,38,37,35,33,31,30,28,91,90,88,87,85,83,81,80,78,76,74,72,70,68,67,65,63,61,59,57,55,53,52,50,48,46,44,42,40,39,37,35,33,32,30,29,91,89,88,86,84,83,81,79,77,76,74,72,70,68,66,65,63,61,59,57,55,54,52,50,48,46,44,43,41,39,37,36,34,32,31,29,90,89,87,86,84,82,81,79,77,75,74,72,70,68,66,65,63,61,59,57,55,54,52,50,48,46,45,43,41,39,38,36,34,33,31,30,89,88,87,85,83,82,80,79,77,75,73,72,70,68,66,64,63,61,59,57,56,54,52,50,48,47,45,43,41,40,38,37,35,33,32,31,89,87,86,84,83,81,80,78,76,75,73,71,70,68,66,64,63,61,59,57,56,54,52,50,49,47,45,44,42,40,39,37,36,34,33,31,88,87,85,84,82,81,79,78,76,75,73,71,69,68,66,64,63,61,59,57,56,54,52,51,49,47,45,44,42,41,39,38,36,35,33,32,88,86,85,83,82,80,79,77,76,74,73,71,69,68,66,64,63,61,59,57,56,54,52,51,49,47,46,44,43,41,40,38,37,35,34,32,87,86,84,83,82,80,79,77,75,74,72,71,69,67,66,64,62,61,59,58,56,54,53,51,49,48,46,45,43,41,40,38,37,36,34,33,86,85,84,82,81,80,78,77,75,74,72,70,69,67,66,64,62,61,59,58,56,54,53,51,50,48,46,45,43,42,40,39,38,36,35,34,86,85,83,82,81,79,78,76,75,73,72,70,69,67,66,64,62,61,59,58,56,54,53,51,50,48,47,45,44,42,41,39,38,37,35,34,85,84,83,81,80,79,77,76,75,73,72,70,69,67,65,64,62,61,59,58,56,55,53,51,50,48,47,45,44,43,41,40,39,37,36,35,85,83,82,81,80,78,77,76,74,73,71,70,68,67,65,64,62,61,59,58,56,55,53,52,50,49,47,46,44,43,42,40,39,38,37,35,84,83,82,81,79,78,77,75,74,72,71,70,68,67,65,64,62,61,59,58,56,55,53,52,50,49,48,46,45,43,42,41,39,38,37,36,84,82,81,80,79,78,76,75,74,72,71,69,68,67,65,64,62,61,59,58,56,55,53,52,51,49,48,46,45,44,42,41,40,39,38,36,83,82,81,80,78,77,76,75,73,72,71,69,68,66,65,64,62,61,59,58,56,55,54,52,51,49,48,47,45,44,43,42,40,39,38,37,83,82,80,79,78,77,76,74,73,72,70,69,68,66,65,63,62,61,59,58,57,55,54,52,51,50,48,47,46,44,43,42,41,40,38,37,82,81,80,79,78,76,75,74,73,71,70,69,67,66,65,63,62,61,59,58,57,55,54,53,51,50,49,47,46,45,44,42,41,40,39,38,82,81,80,78,77,76,75,74,72,71,70,69,67,66,65,63,62,61,59,58,57,55,54,53,51,50,49,48,46,45,44,43,42,40,39,38,81,80,79,78,77,76,75,73,72,71,70,68,67,66,65,63,62,61,59,58,57,55,54,53,52,50,49,48,47,45,44,43,42,41,40,39,81,80,79,78,77,75,74,73,72,71,69,68,67,66,64,63,62,61,59,58,57,56,54,53,52,51,49,48,47,46,45,43,42,41,40,39,80,79,78,77,76,75,74,73,72,70,69,68,67,66,64,63,62,61,59,58,57,56,54,53,52,51,50,48,47,46,45,44,43,42,41,40,80,79,78,77,76,75,74,73,71,70,69,68,67,65,64,63,62,61,59,58,57,56,55,53,52,51,50,49,47,46,45,44,43,42,41,40,80,79,78,77,76,74,73,72,71,70,69,68,67,65,64,63,62,61,59,58,57,56,55,53,52,51,50,49,48,47,46,44,43,42,41,40,79,78,77,76,75,74,73,72,71,70,69,68,66,65,64,63,62,61,59,58,57,56,55,54,52,51,50,49,48,47,46,45,44,43,42,41,79,78,77,76,75,74,73,72,71,70,69,67,66,65,64,63,62,61,59,58,57,56,55,54,53,51,50,49,48,47,46,45,44,43,42,41,78,78,77,76,75,74,73,72,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,48,47,46,45,44,43,42,42,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,77,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,43,77,76,75,74,74,73,72,71,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,49,48,47,46,46,45,44,43,77,76,75,74,73,72,71,70,70,69,68,67,66,65,64,63,62,61,59,58,57,56,55,54,53,52,51,50,50,49,48,47,46,45,44,43,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,76,75,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,45,44,76,75,74,73,73,72,71,70,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,50,49,48,47,47,46,45,44,76,75,74,73,72,71,71,70,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,50,49,49,48,47,46,45,44,75,75,74,73,72,71,70,70,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,50,50,49,48,47,46,45,45,75,74,74,73,72,71,70,69,69,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,51,51,50,49,48,47,46,46,45,75,74,73,73,72,71,70,69,68,68,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,52,52,51,50,49,48,47,47,46,45,75,74,73,72,72,71,70,69,68,67,67,66,65,64,63,62,61,60,60,59,58,57,56,55,54,53,53,52,51,50,49,48,48,47,46,45,74,74,73,72,71,7
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