From 64b3a929c68feeccc4d479d45f4dd2ab1890a6e9 Mon Sep 17 00:00:00 2001 From: anheng <12857953+aahh123456@user.noreply.gitee.com> Date: Fri, 26 Apr 2024 20:22:20 +0800 Subject: [PATCH] Android Development --- RK3568_Android开发入门文档/images/image-20240424203947453.png | 0 RK3568_Android开发入门文档/images/WEBRESOURCEf2ca8a945b8750ba3e6dcc2b23ce03eb.png | 0 RK3568_Android开发入门文档/images/WEBRESOURCEa644f2f997ffa80793a309b753c73538-1714121329334-13.png | 0 RK3568_Android开发入门文档/images/image-20240424153619154.png | 0 RK3568_Android开发入门文档/images/image-20240424151334610-1714121423786-83.png | 0 RK3568_Android开发入门文档/images/image-20240426165118487.png | 0 RK3568_Android开发入门文档/images/WEBRESOURCE4e0ff0b048d7e3af6ae85a1fae34d3ca-1714121344260-23.png | 0 RK3568_Android开发入门文档/images/image-20240424201208856-1714121367099-41.png | 0 RK3568_Android开发入门文档/images/image-20240424202939763-1714121363042-37.png | 0 RK3568_Android开发入门文档/images/5ac496ce35018b82d2d5904618df8d6-1713963004808-42.png | 0 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"a/RK3568_Android_SDK\345\274\200\345\217\221\346\226\207\346\241\243/RK3568_Android_SDK\345\274\200\345\217\221\346\226\207\346\241\243.md" +++ "b/RK3568_Android_SDK\345\274\200\345\217\221\346\226\207\346\241\243/RK3568_Android_SDK\345\274\200\345\217\221\346\226\207\346\241\243.md" @@ -643,42 +643,6 @@ -## 3.8 RK3568自带的NPU - -### 3.8.1 应用程序测试 - -测试的程序是一个yolov5的目标识别demo,编译环境是Linux arm64系统 - -先去github下载RKNPU2并解压生成rknpu2-master文件夹 - -[GitHub - rockchip-linux/rknpu2](https://github.com/rockchip-linux/rknpu2?tab=readme-ov-file) - -1. 进入/home/anheng/rk3568/rknpu2-master/examples/rknn_yolov5_demo目录 - -2. `vim build-linux_RK3566_RK3568.sh` - -3. 更改交叉编译器路径 - -  - -4. 授予build-linux_RK3566_RK3568.sh执行权限,./build-linux_RK3566_RK3568.sh - - 编译好了之后会生成install文件,里面就有官方提供的rknn模型,可执行程序,以及相应的动态库文件,如下 - - - -5. 用adb命令将/home/anheng/rk3568/rknpu2-master/examples/rknn_yolov5_demo/install目录下的rknn_yolov5_demo_Linux文件夹上传到开发板的/data目录下 - -6. 指定库文件路径 `export LD_LIBRARY_PATH=/data/rknn_yolov5_demo_Linux/lib ` - -7. 运行程序识别相应的图片中物体的类别。`./rknn_yolov5_demo ./model/RV1106/yolov5s-640-640.rknn ./model/bus.jpg ` - -  - - 识别的结果会以out.jpg保存在当前目录 - -  - # 4. ADB调试工具 1. 下载解压platform-tools-latest-windows.zip diff --git "a/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243.md" "b/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243.md" new file mode 100644 index 0000000..1c283c0 --- /dev/null +++ "b/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243.md" @@ -0,0 +1,644 @@ +# Android SDK开发入门文档 + + 首先在windows安装Android Studio,配置好环境,还要在虚拟机上使用同样的步骤安装Android Studio,虚拟机上安装的AS只有一个功能,就是要使用它的ndk交叉编译libgpiod动态库(在虚拟机上也可以不安装Android Studio,直接下载ndk来交叉编译,方法自行百度,本文档介绍第一种方法),其它工作都在windows上进行,交叉编译完成后,会生成gpio.h头文件和libgpiod.so动态库,在windows系统打开AS,配置项目的CMakeLists.txt文件,导入交叉编译好的libgpiod.so,再导入gpio.h头文件到cpp文件中,就能调用libgpiod库的接口。项目需要用到gpio18,gpio20,gpio22三个引脚,把这三个引脚空闲出来,再给gpiochip0赋予777权限,gpiochip0是管理GPIO0(一组引脚有32个,gpio0-32)这一组的gpio,要控制gpio18,gpio20,gpio22就需要有gpiochip0的操作权限。 + + **总结以上,开发流程为:安装AS,配置AS环境,连接开发板, 空闲gpio引脚,开gpiochip0权限,使用NDK交叉编译libgpiod,设计UI界面,配置CMakeLists.txt,写JNI,最后编译运行**。 + +------ + +## 1 Android Studio下的 Java App 开发 + +### 1.1 软件安装 + +- 下载地址:https://developer.android.com/?hl=zh-cn + +  + +- 安装教程:参考博客-[Android Studio 安装配置教程 - Windows(详细版)-CSDN博客](https://blog.csdn.net/qq_38436214/article/details/105073213) + +### 1.2 环境配置 + +- 首先新建一个项目,选择C++ + +  + +-  + +-  + +- 安装下载ndk + +  + +  + + + + + + + + + + + +- 查看自己的项目结构 + +  + +  + +  + +### 1.3 硬件连接 + + + +- **烧录软件下载** + + 从凌云实验室文件服务器上下载并安装下面烧录软件。 + + 1、[CP210x_VCP_Windows.zip](http://studio.iot-yun.club:2211/rockchip/tools/CP210x_VCP_Windows.zip) 解压缩并安装开发板的Console调试串口驱动; + + 2、[DriverAssitant_v5.1.1.zip](http://studio.iot-yun.club:2211/rockchip/tools/DriverAssitant_v5.1.1.zip) , 解压缩安装RK3568开发板驱动; + + 3、[RKDevTool_Release_v2.86.zip](http://studio.iot-yun.club:2211/rockchip/tools/RKDevTool_Release_v2.86.zip) ,直接解压缩即可运行的 RK3568开发板烧录软件; + + + +- **xshell软件,串口连接** + +  + +  + +  + +- 在这两个窗口管理开发板连接 + +  + +### 1.4 UI界面设计 + + + +#### 1.4.1 **切换Project视图,代码文件名为activity_main.xml** + + + +- **activity_main.xml**代码: + +```xml +<?xml version="1.0" encoding="utf-8"?> +<androidx.constraintlayout.widget.ConstraintLayout xmlns:android="http://schemas.android.com/apk/res/android" + xmlns:app="http://schemas.android.com/apk/res-auto" + xmlns:tools="http://schemas.android.com/tools" + android:id="@+id/main" + android:layout_width="match_parent" + android:layout_height="match_parent" + tools:context=".MainActivity"> + + + <Button + android:id="@+id/button1" + android:layout_width="wrap_content" + android:layout_height="wrap_content" + android:layout_marginTop="76dp" + android:text="ON/OFF" + app:layout_constraintEnd_toEndOf="parent" + app:layout_constraintStart_toStartOf="parent" + app:layout_constraintTop_toBottomOf="@+id/Lamp" /> + + <ImageView + android:id="@+id/imageView2" + android:layout_width="45dp" + android:layout_height="45dp" + android:layout_marginTop="180dp" + android:visibility="visible" + app:layout_constraintEnd_toEndOf="parent" + app:layout_constraintHorizontal_bias="0.5" + app:layout_constraintStart_toStartOf="parent" + app:layout_constraintTop_toTopOf="parent" + app:srcCompat="@android:drawable/presence_invisible" /> + + <ImageView + android:id="@+id/Lamp" + android:layout_width="45dp" + android:layout_height="45dp" + android:layout_marginTop="180dp" + android:visibility="invisible" + app:layout_constraintEnd_toEndOf="parent" + app:layout_constraintHorizontal_bias="0.5" + app:layout_constraintStart_toStartOf="parent" + app:layout_constraintTop_toTopOf="parent" + app:srcCompat="@android:drawable/presence_online" /> + + + <TextView + android:id="@+id/textView" + android:layout_width="150dp" + android:layout_height="35dp" + android:gravity="center" + android:text="RK3568-LED" + android:textSize="20sp" + app:layout_constraintBottom_toBottomOf="parent" + app:layout_constraintEnd_toEndOf="parent" + app:layout_constraintHorizontal_bias="0.532" + app:layout_constraintStart_toStartOf="parent" + app:layout_constraintTop_toTopOf="parent" + app:layout_constraintVertical_bias="0.04" /> + + +</androidx.constraintlayout.widget.ConstraintLayout> +``` + +#### 1.4.2 **在java文件夹下新建一个HardControl类** + +- 用于放函数接口 + + + + + + + +- HardControl.java: + +```java +package com.example.myapplication; + +public class HardControl { + + public static native int ledOpen();//打开设备 + public static native int ledCtrl_on(int which, int status);//打开led灯 + public static native int ledCtrl_off(int which, int status);//关闭led灯 + + static + { + System.loadLibrary("myapplication"); + System.loadLibrary("gpiod"); + } +} + +``` + +#### 1.4.3 编写MainActivity.java + +- MainActivity.java相当于c语言的main函数 + + + +- **MainActivity.java** + +```java +package com.example.myapplication; + +import android.os.Bundle; +import android.view.View; +import android.widget.Button; +import android.widget.ImageView; +import androidx.appcompat.app.AppCompatActivity; + + +public class MainActivity extends AppCompatActivity implements View.OnClickListener{ + + ImageView L1; + Button bnt1; + boolean isLightOn = false; // 指示灯状态 + HardControl hardControl = new HardControl(); + + + @Override + protected void onCreate(Bundle savedInstanceState) { + super.onCreate(savedInstanceState); + setContentView(R.layout.activity_main); + bnt1 = findViewById(R.id.button1);// 按钮灯开 + + hardControl.ledOpen(); + bnt1.setOnClickListener(this); + L1 = (ImageView)this.findViewById(R.id.Lamp); + } + + @Override + public void onClick(View view) { + + + int i=view.getId(); + + if (i==bnt1.getId()) + { + if(isLightOn) + { + L1.setVisibility(View.INVISIBLE); + hardControl.ledCtrl_off(1,1); + isLightOn = false; + } + else + { + L1.setVisibility(View.VISIBLE); + hardControl.ledCtrl_on(1,0); + isLightOn = true; + } + } + } + protected void onDestroy() { + super.onDestroy(); + // 当Activity销毁时,关闭LED控制 + hardControl.ledCtrl_close(); + } + +} +``` + +------ + +## 2 Android Framwork/JNI层的开发 + +### 2.1 交叉编译libgpiod + +```bash +#下载安装相关编译工具 +sudo apt update +sudo apt-get install autoconf-archive +sudo apt-get install autoconf automake libtool +``` + +#### 2.1.1**下载源码然后解压** + +- 源码地址:https://github.com/brgl/libgpiod/tree/v1.6.x + +```bash +git clone https://github.com/brgl/libgpiod/tree/v1.6.x +unzip libgpiod-1.6.x.zip +``` + + + +#### 2.1.2 运行脚本 + +```bash +cd libgpiod-1.6.x +bash autogen.sh #运行脚本,会生成configure这个文件 +``` + + + +#### 2.1.3 设置交叉编译环境变量 + +- 首先安装AS,我的安装目录为/home/af/Android/ + +**(重点,环境变量没设置对交叉编译会失败)** + +```bash +export NDK=/home/af/Android/Sdk/ndk/26.2.11394342 # 根据自己的NDK路径设置 +#export TOOLCHAIN=${NDK}/toolchains/llvm/prebuilt/darwin-x86_64 +export TOOLCHAIN=${NDK}/toolchains/llvm/prebuilt/linux-x86_64 +#export TARGET=armv7a-linux-androideabi +#export TARGET=i686-linux-android +#export TARGET=x86_64-linux-android +export TARGET=aarch64-linux-android #TARGET=aarch64-linux-android 是我们选择的交叉编译的目标架构,根据需要选择不通的架构 +export API=29 +export AR=${TOOLCHAIN}/bin/llvm-ar #打包器,用于库操作,可以通过该工具从一个库中删除或者增加目标代码模块。 +export CC=${TOOLCHAIN}/bin/${TARGET}${API}-clang # 编译器,对C源文件进行编译处理,生成汇编文件。 +export AS=${CC} #汇编器,将汇编文件生成目标文件(汇编文件使用的是指令助记符, AS将它翻译成机器码) +export CXX=${TOOLCHAIN}/bin/${TARGET}${API}-clang++ +export LD=${TOOLCHAIN}/bin/ld #链接器,为前面生成的目标代码分配地址空间,将多个目标文件链接成一个库或者是可执行文件。 +export RANLIB=${TOOLCHAIN}/bin/llvm-ranlib +export STRIP=${TOOLCHAIN}/bin/llvm-strip # 以最终生成的可执行文件或者库文件作为输入,然后消除掉其中的源码。 +``` + + + +```markdown +"aarch64-linux-android29-clang" 是一个基于 Clang 编译器的工具链,用于在 Android 平台上编译 ARMv8 架构的代码。它的主要特点包括: + +1、支持使用 LLVM/Clang 编译器进行编译,具有优秀的代码优化能力和兼容性; +2、支持 ARMv8 架构指令集,可以生成针对 ARMv8 架构的优化代码; +3、针对 Android 平台进行了优化,可以使用 Android 平台上的系统库和头文件; +4、适用于 Android 9.0 及以上版本(API level 29)。 +5、使用该工具链可以在 Android 平台上编译出高效、稳定、兼容性好的 ARMv8 架构代码,适用于开发 Android 平台上的应用程序和系统级组件。 +``` + + + +#### 2.1.4 在源码目录下运行上一步生成的configure脚本,生成Makefile文件 + +```bash +sudo ./configure CC=${CC} CXX=${CXX} RANLIB=${RANLIB} AR=${AR} STRIP=${STRIP} --prefix=/home/af/android_libgpiod --host=${TARGET} + +# --prefix指定安装目录 +``` + + + +#### 2.1.5 使用make命令,运行Makefile文件,再安装 + +```bash +sudo make +sudo make install +``` + +- 我的库文件和头文件安装到了这里,就是之前--prefix指定的目录 + +  + +- 我们只要生成的头文件和动态库,拷贝这两个文件 + +  + +- 用file命令查看文件类型,看到这个输出表示交叉编译成功,否则重新编译 + +  + +------ + +### 2.2 java加载交叉编译的libgpiod.so + +#### 2.2.1 新建C++项目 + + + +#### 2.2.2 新建目录,将头文件和动态库复制进去,目录结构如图所示 + +- 安卓设备架构为arm64-v8a,就新建为arm64-v8a + +  + + + +#### 2.2.3 修改CMakeLists.txt文件,导入、链接库 + +```markdown +########导入libgpiod########### + +#在CMakeLists.txt文件中添加一个导入库(imported library)的声明, +#IMPORTED: 这是一个可选的参数,表示库是一个导入库(imported library),即该库不是由CMake构建生成的,而是由外部提供的。 +add_library(libgpiod + SHARED + IMPORTED) + +set_target_properties( libgpiod + PROPERTIES IMPORTED_LOCATION + ${CMAKE_SOURCE_DIR}/../jniLibs/${CMAKE_ANDROID_ARCH_ABI}/libgpiod.so) + +target_link_libraries(${CMAKE_PROJECT_NAME} + # List libraries link to the target library + ${log-lib} + libgpiod + ) +``` + +#### 2.2.4 修改build.gradle.kts文件,添加如下内容 + + + +#### 2.2.5 导入加载libgpiod库 + + + +------ + +### 2.3 JNI编写 + +**ledOpen ledCtrl_on ledCtrl_off是JNI接口**,鼠标选中函数名,按alt+enter键,点击Create JNI...,然后会在cpp文件里自动生成JNI函数接口名,在里面写代码 + + + + + +- myapplication.cpp (记得导入头文件include/gpiod.h) + + ```cpp + #include <jni.h> + #include <string> + #include <android/log.h> + #include <sys/types.h> + #include <sys/stat.h> + #include <fcntl.h> + #include <sys/ioctl.h> + #include <unistd.h> + #include <sys/select.h> + #include "include/gpiod.h" + + // Write C++ code here. + // + // Do not forget to dynamically load the C++ library into your application. + // + // For instance, + // + // In MainActivity.java: + // static { + // System.loadLibrary("myapplication"); + // } + // + // Or, in MainActivity.kt: + // companion object { + // init { + // System.loadLibrary("myapplication") + // } + // } + + const char *chipname = "gpiochip0"; //GPIO1 + struct gpiod_chip *chip; + unsigned int line_num ; + struct gpiod_line *line18 ; + unsigned int line_num_18 = 18; // 偏移GPIO 20 GPIO1_20 + int ret; + bool isused; + const char *chip_name; + + int set_led_value(int status) + { + __android_log_print(ANDROID_LOG_DEBUG, "函数:set_led_value", "开始设置0/1控制亮灭:%d",status); + + //设置GPIO18的值 + ret = gpiod_line_set_value(line18, status);//设置输出状态 + if (ret < 0) { + __android_log_print(ANDROID_LOG_DEBUG, "Set On/Off", "Set line output failed. val:%d!",status); + + return 0; + } + + ret = gpiod_line_get_value(line18); + __android_log_print(ANDROID_LOG_DEBUG, "GPIO18的值", "GPIO18的值为:%d!",ret); + + if (ret == 0) + { + __android_log_print(ANDROID_LOG_DEBUG, "--LED状态--", "状态为:--打开!--"); + } + else + { + { + __android_log_print(ANDROID_LOG_DEBUG, "--LED状态--", "状态为:--关闭!--"); + } + } + + return 0; + } + + + extern "C" + JNIEXPORT jint JNICALL + Java_com_example_myapplication_HardControl_ledOpen(JNIEnv *env, jclass clazz) { + + // TODO: implement ledOpen() + // __android_log_print(ANDROID_LOG_DEBUG, "LEDDemo", "------native ledOpen-------"); + + + //1、OPEN:打开chipgpio0 + chip = gpiod_chip_open_by_name(chipname); + + if (!chip) { + __android_log_print(ANDROID_LOG_INFO, "Open chipgpio0", "Open chip by name failed. name: %s\n", chipname); + + return 0; + } + __android_log_print(ANDROID_LOG_DEBUG, "Open chipgpio0", "Successfully opened chip:%s",chipname); + + //2、获取打开的设备名 + chip_name = gpiod_chip_name(chip); + __android_log_print(ANDROID_LOG_DEBUG, "gpiod_chip_name", "The GPIO chip name as represented in the kernel: %s",chip_name); + + //3、获取打开的chipgpio0的引脚个数 + line_num = gpiod_chip_num_lines(chip); + __android_log_print(ANDROID_LOG_DEBUG, "gpiod_chip_num_lines", "Line number:%u",line_num); + + //4、获取GPIO18引脚句柄 + line18 = gpiod_chip_get_line(chip,line_num_18); + if ( !line18 ) + { + __android_log_print(ANDROID_LOG_DEBUG, "gpiod_chip_get_line", "Get line failed. line_num: %u",line_num_18); + + return 0; + } + + //5、判断GPIO18是否被占用 + isused = gpiod_line_is_used(line18); + if (isused) + { + // GPIO线正在被使用 + __android_log_print(ANDROID_LOG_DEBUG, "GPIO18 isused", "GPIO18线正在被使用"); + return 0; + } + else + { + // GPIO线没有被使用 + __android_log_print(ANDROID_LOG_DEBUG, "GPIO18 is not used", "GPIO18线没有被使用"); + } + + //6、设置GPIO18为输出模式 + ret = gpiod_line_request_output(line18,NULL ,1); + if (ret < 0) { + __android_log_print(ANDROID_LOG_DEBUG, "设置为输出模式", "输出模式设置失败"); + + return 0; + } + __android_log_print(ANDROID_LOG_DEBUG, "设置为输出模式", "输出模式设置成功!"); + + return 2; + } + + + extern "C" + JNIEXPORT jint JNICALL + Java_com_example_myapplication_HardControl_ledCtrl_1on(JNIEnv *env, jclass clazz, jint which, + jint status) { + // TODO: implement ledCtrl_on() + + __android_log_print(ANDROID_LOG_DEBUG, "ledCtrl_on", "status 值:%d",status); + + set_led_value(status); + + return 0; + } + extern "C" + JNIEXPORT jint JNICALL + Java_com_example_myapplication_HardControl_ledCtrl_1off(JNIEnv *env, jclass clazz, jint which, + jint status) { + // TODO: implement ledCtrl_off() + + __android_log_print(ANDROID_LOG_DEBUG, "ledCtrl_off", "status 值:%d",status); + + set_led_value(status); + + return 0; + } + + extern "C" + JNIEXPORT jint JNICALL + Java_com_example_myapplication_HardControl_ledCtrl_1close(JNIEnv *env, jclass clazz) { + // TODO: implement ledCtrl_close() + + set_led_value(1); + + gpiod_line_release(line18); + + gpiod_chip_close(chip); + + } + ``` + +#### 2.3.1 gpiochip0开权限 + +- app默认是以普通用户运行,但/dev/gpiochip0的权限默认为为600,需要修改为666才能控制,修改之后重新烧录镜像 + + + +#### 2.3.2 编译运行程序 + + + +- 可以通过Logcat查看运行日志 + +  + +- app界面,点击控制led灯亮灭 + +  + +- 运行结果 + + <img src="./images/image-20240426164804753.png" alt="image-20240426164804753" style="zoom:33%;" /><img src="./images/image-20240426165118487.png" alt="image-20240426165118487" style="zoom:33%;" /> + +<img src="./images/image-20240426165136395.png" alt="image-20240426165136395" style="zoom: 67%;" /> + +------ + +## 附:烧录镜像 + +- **image**目录下,运行android脚本 + + + + + + + +- 打开软件,空白处右键,导入配置 + + + +- 双击这些空白格,把镜像路径设置一下,Loader就是选取.bin结尾的文件,其它的对应文件名 + + + + + +- 点击切换 + + + + + +- 点击高级功能,进入Maskrom + +  + +- 下载完成后会自动重启,再点复位按键重启 + + + + + + + diff --git "a/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/images/1c1e089b4a0c2f428091852a4df7795.png" "b/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/images/1c1e089b4a0c2f428091852a4df7795.png" new file mode 100644 index 0000000..638471a --- /dev/null +++ "b/RK3568_Android\345\274\200\345\217\221\345\205\245\351\227\250\346\226\207\346\241\243/images/1c1e089b4a0c2f428091852a4df7795.png" Binary files differ diff --git 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rockchip-linux/rknpu2](https://github.com/rockchip-linux/rknpu2?tab=readme-ov-file) + +1. 进入/home/anheng/rk3568/rknpu2-master/examples/rknn_yolov5_demo目录 + +2. `vim build-linux_RK3566_RK3568.sh` + +3. 更改交叉编译器路径 + +  + +4. 授予build-linux_RK3566_RK3568.sh执行权限,./build-linux_RK3566_RK3568.sh + + 编译好了之后会生成install文件,里面就有官方提供的rknn模型,可执行程序,以及相应的动态库文件,如下 + + + +5. 用adb命令将/home/anheng/rk3568/rknpu2-master/examples/rknn_yolov5_demo/install目录下的rknn_yolov5_demo_Linux文件夹上传到开发板的/data目录下 + +6. 指定库文件路径 `export LD_LIBRARY_PATH=/data/rknn_yolov5_demo_Linux/lib ` + +7. 运行程序识别相应的图片中物体的类别。`./rknn_yolov5_demo ./model/RV1106/yolov5s-640-640.rknn ./model/bus.jpg ` + +  + + 识别的结果会以out.jpg保存在当前目录 + +  diff --git "a/RK3568_Linux_SDK\345\274\200\345\217\221\346\226\207\346\241\243/images/b2a248d83fc722b08b2d0bfb24f84a0.png" "b/RK3568_Linux_SDK\345\274\200\345\217\221\346\226\207\346\241\243/images/b2a248d83fc722b08b2d0bfb24f84a0.png" new file mode 100644 index 0000000..4ca6af6 --- /dev/null +++ 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