[原创][SUCTF2025]SU_APP,SU_Harmony出题小记-CTF对抗-看雪-安全社区|安全招聘|kanxue.com
2025-1-27 09:59:49 Author: bbs.kanxue.com(查看原文) 阅读量:1 收藏

本次SUCTF主要提供了两道赛题(虽然被骂辣),但是还是分享一下出题思路,以及解题思路。

本题主要是自定义linker加固so,然后还有一个ffi动态调用的,剩下的就是常见的约束求解了。linker来自于ngiokweng,不得不说ngiokweng大佬对于ELF加载流程的熟练度是真的高。

自实现linker加固详情可见:https://bbs.kanxue.com/thread-282316.htm
另外:这题我主要还是想考动态的一些处理方式,比如说过hook检测去hook那个魔改的md5结果或者直接拿到RC4处理后的Sbox的,所以就诞生了那个md5的魔改,并不是我为了魔改而魔改(师傅们别骂辣。

另外本题存在一些释放静态资源的行为,可能高版本的手机必须得弹窗请求授权才可以,所以会导致崩溃,但其实这样的话手动释放一下assets可能就可以避免这个问题了。还有一些奇奇怪怪的崩溃问题也可能是inlinehook误检测导致的,其实在这里整个APP的log我是没有删除的:
file
如果在logcat中能看到GO!那么基本是检测问题
由于我只有RedMi 10X和Pixel2可以测试,就没有适配更多的收集了(考虑的不够周到,给各位磕一个。

言归正传,接下来从出题人的设计思路上去看看如何解决这道题。

file
很简单可以发现,Java层其实就只是做了一下签名验证,释放静态资源,以及调用Native层的验证方法,主要逻辑都在于Native层中,注册了一个叫做Check的方法。

首先对于这个Native层,可以看到一个MainActivty_check(不知道大家有没有被骗到呢O。o
file
其实不难发现这个MainActivty_check少了点东西,相较于正常的少了一个"i",喜喜。
那么其实我们需要,去分析JniOnload:

file
在JniOnload里面找到了一个注册的方法,我们看看具体逻辑
如下函数进行了一个loader行为
file
file
根据下面的特征等也可以发现是一个自定义的linker
file
那么loader了什么呢?
在之前的代码中其实已经体现出来了:
file
files下面的main,那么这个是哪儿来的呢?
file
欸嘿,其实就是asssets里的main辣。
好,那么我们继续看一看main是个什么玩意。
file
教练,怎么是个x86?
file
且听我细细道来:
file
大家可以关注一下ngiokweng的自实现linker的代码,我在其代码上做了一部分的改动
file
可以看到最主要的改动在映射main的内存的时候,这里其实跳过了前面0x91f0字节的映射,恰恰这个0x91f0的大小就是前面的x86程序的大小。
在IDA中的试图如下:
file
那么其实使用010打开main我们就能发现端倪了。
看到0x91f0的位置出现了一个SUCTF{You_Find_Me},这好像也不太对,我们继续往后看。
file
我们查看偏移后的内存被传到哪儿去了
file
会发现在sub_21EE4里面有一个非常可以的操作:
file
这里veorq_s8
是个非常典型的向量操作,我们看看他都干些啥:
file
主要做了一个异或操作,在代码中显然就是异或0x3c,我们看看这个stru异或之后是什么呢
file
file
7f 45 4c 哈哈哈,ELF头!
那么其实解密头就是在这里了

[小声说]:其实这个ELF头是专门留给大家修复这个so文件,不用大家去计算偏移地址啥的修复elf头了。

file

下面有一个504长度的赋值就不用我多说了吧,修复完elf头的话你看到程序头数量有9个其实504正好就是9*0x38这个就是在回填我们的程序头了。

做完这些其实我们的ELF文件就能修好了,但是这里是首先带大家静态分析一下,那么其实还是有动态一把梭的办法的。

首先针对一下这个frida检测,其实就是一个inlinehook的检测检测的libc中的signal,其实这就是frida的一个小特征了。可能有一些类似于vivo之类的厂商他们启动崩溃可能就存在厂商自己魔改了或者啥的可能性,这里我没有响应的手机,就不太好测试了。
file
比较点在这里,其实只需要hook掉这个点就OK了。
下面是一个hook fread的通用方法:

有了这个之后我们就是一套很基础的流程来hook了:
首先hook android_dlopne_ext 来hook,libsuapp。
Native hook什么逻辑咱先不说

这一套hook上了之后我们尽量是稍等一下在进行dump操作
dump的代码:

file
dump下来之后我们再从dump的路径里面pull下来
file
拿到之后我们在根据之前说的,把内存中的头填充回去
使用如下IDApython拿到ELF头

file
patch进去就好了。
接下来修复程序头:

file
修复好了之后我们ida打开就可以反编译了:
file
但是很乱So看起来没有符号表,dump下来的so导入导出表位置不正确需要修正偏移,如何修复呢?
需要用到SoFixer来修复一下

file
接下来就可以一睹我们Check函数的真容了
file

唉,好懒,不想打字,这该如何是好,就让chatGPT来当黑奴吧。
file
回复来自于GPT:
file
这回复 有点说了和没说一样,唉算了,看来是不能偷懒了。
file
首先获取来自于Jni的input字符串,然后校验长度之后开始判断,每次获取六个来自于sub_a158的返回值
sub_a158的逻辑很多大佬都分析过了,通过魔改的md5产生key,然后初始化一个rc4通过rc4产生一个伪随机流来形成我们的控制流。
接下来继续看逻辑

file
根据v7在off_21680取函数指针来获取对应的加密函数,我们看一看21680是什么玩意
file
file
是一个函数结构体,第一个是函数指针,第二个是函数的参数数量,至于怎么知道第二个是参数数量的,可以在主逻辑中找到(实在是不想打字了,太累了。
接下来我们可以修复一下这个结构体:
大概是这个样子:

我们只需要导入进去就好了
file
找到Local Types界面,是由快捷键可以打开的Shif+F1
file
点击键盘上的insert,就可以加入结构体了
file
file
大概就是这样,不修复也没关系,反正就是通过sub_a158的返回值去去相对应的方法,然后sub_a158的返回值作为参数了,接下来就是要获取返回值了。
我们只需要获取了sub_a158的返回值就可以复现控制流了。
我们通过frida对于sub_a158进行hook,获取他的返回值:

完整脚本如下:

但是由于so是linker的一开始可能hook不到得需要重新载入一下NativeHook()
file
这样就可以了
接下来输入32位flag长度(为什么32,在代码中有,判断了32
file
接下来我们就获取到opcode了
如何处理呢,辣么多逻辑,其实有一个小小的tips,首先我们把所有的逻辑函数
file
也就是这些的命名一下

file
其实翻找一下就可以发现所有的算法都是由+和^组成的,那么这样排列组合也不过十几种,我们通过名称计算一下哪些是相等的:

file
只有14种type。
那就搓个解释器吧:

file

教练都有逻辑了,不会还搓不出z3把?
那我就给你一个生成z3的脚本吧:

完事之后就可以跑这个脚本来获取flag了,生成出来的脚本如下:
自己跑上面脚本获取或者在附件里面拿吧.
file

这道题其实Ark层是没有东西的,我们直接看lib就行:
file
进来之后其实鸿蒙的注册流程也差不多
file
file
file
这样就找到主逻辑了:
file
这个混淆其实很简单
file
主逻辑依旧是一眼顶针的
file
往下看就是着里的主要操作了
filefile
其实就是一些高精度算法,人工看,ai看都很快速的,这里公布一下计算逻辑的源码吧:

所以解一个方程就好了:
exp:

function hook_memcmp_addr() {

    var memcmp_addr = Module.findExportByName("libc.so", "fread");

    if (memcmp_addr !== null) {

        console.log("fread address: ", memcmp_addr);

        Interceptor.attach(memcmp_addr, {

            onEnter: function (args) {

                this.buffer = args[0]; 

                this.size = args[1];  

                this.count = args[2];  

                this.stream = args[3]; 

            },

            onLeave: function (retval) {

                if (this.count.toInt32() == 8) {

                    Memory.writeByteArray(this.buffer, [0x50, 0x00, 0x00, 0x58, 0x00, 0x02, 0x1f, 0xd6]);

                    retval.replace(8);

                }

            }

        });

    } else {

    }

}

function hook_memcmp_addr() {

    var memcmp_addr = Module.findExportByName("libc.so", "fread");

    if (memcmp_addr !== null) {

        console.log("fread address: ", memcmp_addr);

        Interceptor.attach(memcmp_addr, {

            onEnter: function (args) {

                this.buffer = args[0]; 

                this.size = args[1];  

                this.count = args[2];  

                this.stream = args[3]; 

            },

            onLeave: function (retval) {

                if (this.count.toInt32() == 8) {

                    Memory.writeByteArray(this.buffer, [0x50, 0x00, 0x00, 0x58, 0x00, 0x02, 0x1f, 0xd6]);

                    retval.replace(8);

                }

            }

        });

    } else {

    }

}

function Hookdlopenext() {

    hook_memcmp_addr()

    var dlopen = Module.findExportByName(null, "android_dlopen_ext");

    Interceptor.attach(dlopen, {

        onEnter: function (args) {

            var filePath = args[0].readCString();

            if (filePath.indexOf("suapp") != -1) {

                this.isCanHook = true;

            }

        }, onLeave: function (retValue) {

            if (this.isCanHook) {

                this.isCanHook = false;

                NativeHook();

            }

        }

    })

}

setImmediate(Hookdlopenext);

function Hookdlopenext() {

    hook_memcmp_addr()

    var dlopen = Module.findExportByName(null, "android_dlopen_ext");

    Interceptor.attach(dlopen, {

        onEnter: function (args) {

            var filePath = args[0].readCString();

            if (filePath.indexOf("suapp") != -1) {

                this.isCanHook = true;

            }

        }, onLeave: function (retValue) {

            if (this.isCanHook) {

                this.isCanHook = false;

                NativeHook();

            }

        }

    })

}

setImmediate(Hookdlopenext);

function dump_so(so_name) {

    var libso = Process.getModuleByName(so_name);

    console.log("[name]:", libso.name);

    console.log("[base]:", libso.base);

    console.log("[size]:", ptr(libso.size));

    console.log("[path]:", libso.path);

    var file_path = "/sdcard/Download/" + libso.name + "_" + libso.base + "_" + ptr(libso.size) + ".so";

    var file_handle = new File(file_path, "wb");

    if (file_handle && file_handle != null) {

        Memory.protect(ptr(libso.base), libso.size, 'rwx');

        var libso_buffer = ptr(libso.base).readByteArray(libso.size);

        file_handle.write(libso_buffer);

        file_handle.flush();

        file_handle.close();

        console.log("[dump]:", file_path);

    }

}

function dump_so(so_name) {

    var libso = Process.getModuleByName(so_name);

    console.log("[name]:", libso.name);

    console.log("[base]:", libso.base);

    console.log("[size]:", ptr(libso.size));

    console.log("[path]:", libso.path);

    var file_path = "/sdcard/Download/" + libso.name + "_" + libso.base + "_" + ptr(libso.size) + ".so";

    var file_handle = new File(file_path, "wb");

    if (file_handle && file_handle != null) {

        Memory.protect(ptr(libso.base), libso.size, 'rwx');

        var libso_buffer = ptr(libso.base).readByteArray(libso.size);

        file_handle.write(libso_buffer);

        file_handle.flush();

        file_handle.close();

        console.log("[dump]:", file_path);

    }

}

addr = 0x4D2D0

for i in range(addr,addr + 0x40):

    print(hex(get_wide_byte(i)^0x3c),end=" ")

addr = 0x4D2D0

for i in range(addr,addr + 0x40):

    print(hex(get_wide_byte(i)^0x3c),end=" ")

addr = 0x4D0D0

for i in range(addr,addr + 0x40):

    print(hex(get_wide_byte(i)),end=" ")

addr = 0x4D0D0

for i in range(addr,addr + 0x40):

    print(hex(get_wide_byte(i)),end=" ")

.\SoFixer-Windows-64.exe -s .\libsuapp.so_0x7d248e7000_0x25000.so -o libsuapp.sofix -m 0x7d248e7000 -d

.\SoFixer-Windows-64.exe -s .\libsuapp.so_0x7d248e7000_0x25000.so -o libsuapp.sofix -m 0x7d248e7000 -d

typedef int (*Func1)(int, int, int);

typedef int (*Func2)(int, int, int, int);

typedef int (*Func3)(int, int, int, int, int);

typedef struct {

    union {

        Func1 func1; 

        Func2 func2; 

        Func3 func3; 

    } func;

    int param_count; 

} OperationFunction;

typedef int (*Func1)(int, int, int);

typedef int (*Func2)(int, int, int, int);

typedef int (*Func3)(int, int, int, int, int);

typedef struct {

    union {

        Func1 func1; 

        Func2 func2; 

        Func3 func3; 

    } func;

    int param_count; 

} OperationFunction;

function NativeHook() {

    var base = Module.getBaseAddress("libsuapp.so");

    console.log("[Base]->", base);

    Interceptor.attach(base.add("0xA158"), {

        onEnter: function (args) {

        },

        onLeave: function (retval) {

            randcode.push(retval.toInt32())

        }

    });

    Interceptor.attach(base.add("0x9FA8"), {

        onEnter: function (args) {

            console.log(randcode);

            console.log(randcode.length);

            while (randcode.length) {

                randcode.pop();

            }

        },

        onLeave: function (retval) {

        }

    });

}

function NativeHook() {

    var base = Module.getBaseAddress("libsuapp.so");

    console.log("[Base]->", base);

    Interceptor.attach(base.add("0xA158"), {

        onEnter: function (args) {

        },

        onLeave: function (retval) {

            randcode.push(retval.toInt32())

        }

    });

    Interceptor.attach(base.add("0x9FA8"), {

        onEnter: function (args) {

            console.log(randcode);

            console.log(randcode.length);

            while (randcode.length) {

                randcode.pop();

            }

        },

        onLeave: function (retval) {

        }

    });

}

function hook_memcmp_addr() {

    var memcmp_addr = Module.findExportByName("libc.so", "fread");

    if (memcmp_addr !== null) {

        console.log("fread address: ", memcmp_addr);

        Interceptor.attach(memcmp_addr, {

            onEnter: function (args) {

                this.buffer = args[0]; 

                this.size = args[1];  

                this.count = args[2];  

                this.stream = args[3]; 

            },

            onLeave: function (retval) {

                if (this.count.toInt32() == 8) {

                    Memory.writeByteArray(this.buffer, [0x50, 0x00, 0x00, 0x58, 0x00, 0x02, 0x1f, 0xd6]);

                    retval.replace(8);

                }

            }

        });

    } else {

    }

}

var randcode = [];

function dump_so(so_name) {

    var libso = Process.getModuleByName(so_name);

    console.log("[name]:", libso.name);

    console.log("[base]:", libso.base);

    console.log("[size]:", ptr(libso.size));

    console.log("[path]:", libso.path);

    var file_path = "/sdcard/Download/" + libso.name + "_" + libso.base + "_" + ptr(libso.size) + ".so";

    var file_handle = new File(file_path, "wb");

    if (file_handle && file_handle != null) {

        Memory.protect(ptr(libso.base), libso.size, 'rwx');

        var libso_buffer = ptr(libso.base).readByteArray(libso.size);

        file_handle.write(libso_buffer);

        file_handle.flush();

        file_handle.close();

        console.log("[dump]:", file_path);

    }

}

function NativeHook() {

    var base = Module.getBaseAddress("libsuapp.so");

    console.log("[Base]->", base);

    Interceptor.attach(base.add("0xA158"), {

        onEnter: function (args) {

        },

        onLeave: function (retval) {

            randcode.push(retval.toInt32())

        }

    });

    Interceptor.attach(base.add("0x9FA8"), {

        onEnter: function (args) {

            console.log(randcode);

            console.log(randcode.length);

            while (randcode.length) {

                randcode.pop();

            }

        },

        onLeave: function (retval) {

        }

    });

}

function Hookdlopenext() {

    hook_memcmp_addr()

    var dlopen = Module.findExportByName(null, "android_dlopen_ext");

    Interceptor.attach(dlopen, {

        onEnter: function (args) {

            var filePath = args[0].readCString();

            if (filePath.indexOf("suapp") != -1) {

                this.isCanHook = true;

            }

        }, onLeave: function (retValue) {

            if (this.isCanHook) {

                this.isCanHook = false;

                NativeHook();

            }

        }

    })

}

setImmediate(Hookdlopenext);

function hook_memcmp_addr() {

    var memcmp_addr = Module.findExportByName("libc.so", "fread");

    if (memcmp_addr !== null) {

        console.log("fread address: ", memcmp_addr);

        Interceptor.attach(memcmp_addr, {

            onEnter: function (args) {

                this.buffer = args[0]; 

                this.size = args[1];  

                this.count = args[2];  

                this.stream = args[3]; 

            },

            onLeave: function (retval) {

                if (this.count.toInt32() == 8) {

                    Memory.writeByteArray(this.buffer, [0x50, 0x00, 0x00, 0x58, 0x00, 0x02, 0x1f, 0xd6]);

                    retval.replace(8);

                }

            }

        });

    } else {

    }

}

var randcode = [];

function dump_so(so_name) {

    var libso = Process.getModuleByName(so_name);

    console.log("[name]:", libso.name);

    console.log("[base]:", libso.base);

    console.log("[size]:", ptr(libso.size));

    console.log("[path]:", libso.path);

    var file_path = "/sdcard/Download/" + libso.name + "_" + libso.base + "_" + ptr(libso.size) + ".so";

    var file_handle = new File(file_path, "wb");

    if (file_handle && file_handle != null) {

        Memory.protect(ptr(libso.base), libso.size, 'rwx');

        var libso_buffer = ptr(libso.base).readByteArray(libso.size);

        file_handle.write(libso_buffer);

        file_handle.flush();

        file_handle.close();

        console.log("[dump]:", file_path);

    }

}

function NativeHook() {

    var base = Module.getBaseAddress("libsuapp.so");

    console.log("[Base]->", base);

    Interceptor.attach(base.add("0xA158"), {

        onEnter: function (args) {

        },

        onLeave: function (retval) {

            randcode.push(retval.toInt32())

        }

    });

    Interceptor.attach(base.add("0x9FA8"), {

        onEnter: function (args) {

            console.log(randcode);

            console.log(randcode.length);

            while (randcode.length) {

                randcode.pop();

            }

        },

        onLeave: function (retval) {

        }

    });

}

function Hookdlopenext() {

    hook_memcmp_addr()

    var dlopen = Module.findExportByName(null, "android_dlopen_ext");

    Interceptor.attach(dlopen, {

        onEnter: function (args) {

            var filePath = args[0].readCString();

            if (filePath.indexOf("suapp") != -1) {

                this.isCanHook = true;

            }

        }, onLeave: function (retValue) {

            if (this.isCanHook) {

                this.isCanHook = false;

                NativeHook();

            }

        }

    })

}

setImmediate(Hookdlopenext);

import idautils

import idc

import idaapi

def rename_functions(start_name, num_funcs, prefix='func_'):

    start_ea = idc.get_name_ea_simple(start_name)

    if start_ea == idc.BADADDR:

        print("错误: 未找到名称为 '{}' 的函数。".format(start_name))

        return

    functions = list(idautils.Functions())

    functions = sorted(functions)

    try:

        start_index = functions.index(start_ea)

    except ValueError:

        print("错误: 起始函数地址未在函数列表中找到。")

        return

    if start_index + num_funcs > len(functions):

        print("警告: 函数数量不足,最多只能重命名 {} 个函数。".format(len(functions) - start_index))

        num_funcs = len(functions) - start_index

    for i in range(num_funcs):

        func_ea = functions[start_index + i]

        old_name = idc.get_func_name(func_ea)

        new_name = "{}{}".format(prefix, i)

        success = idc.set_name(func_ea, new_name, idc.SN_NOWARN)

        if success:

            print("成功: 将函数 0x{:X} ('{}') 重命名为 '{}'。".format(func_ea, old_name, new_name))

        else:

            print("失败: 无法将函数 0x{:X} ('{}') 重命名为 '{}'。".format(func_ea, old_name, new_name))

def main():

    start_func_name = "sub_A224" 

    number_of_functions = 256   

    prefix = "func_"            

    rename_functions(start_func_name, number_of_functions, prefix)

if __name__ == "__main__":

    main()

import idautils

import idc

import idaapi

def rename_functions(start_name, num_funcs, prefix='func_'):

    start_ea = idc.get_name_ea_simple(start_name)

    if start_ea == idc.BADADDR:

        print("错误: 未找到名称为 '{}' 的函数。".format(start_name))

        return

    functions = list(idautils.Functions())

    functions = sorted(functions)

    try:

        start_index = functions.index(start_ea)

    except ValueError:

        print("错误: 起始函数地址未在函数列表中找到。")

        return

    if start_index + num_funcs > len(functions):

        print("警告: 函数数量不足,最多只能重命名 {} 个函数。".format(len(functions) - start_index))

        num_funcs = len(functions) - start_index

    for i in range(num_funcs):

        func_ea = functions[start_index + i]

        old_name = idc.get_func_name(func_ea)

        new_name = "{}{}".format(prefix, i)

        success = idc.set_name(func_ea, new_name, idc.SN_NOWARN)

        if success:

            print("成功: 将函数 0x{:X} ('{}') 重命名为 '{}'。".format(func_ea, old_name, new_name))

        else:

            print("失败: 无法将函数 0x{:X} ('{}') 重命名为 '{}'。".format(func_ea, old_name, new_name))

def main():

    start_func_name = "sub_A224" 

    number_of_functions = 256   

    prefix = "func_"            

    rename_functions(start_func_name, number_of_functions, prefix)

if __name__ == "__main__":

    main()

import idaapi

import idautils

import hashlib

import re 

def get_function_bytes(func_start):

    func = idaapi.get_func(func_start)

    func_end = func.end_ea 

    func_bytes = bytearray()

    for addr in range(func_start, func_end):

        func_bytes.append(idaapi.get_byte(addr)) 

    return func_bytes

def get_function_hash(func_start):

    func_bytes = get_function_bytes(func_start)

    return hashlib.md5(func_bytes).hexdigest()

def get_all_functions():

    functions = {}

    func_pattern = re.compile(r'func_(\d+)'

    for func_start in idautils.Functions():

        func_name = idaapi.get_func_name(func_start)

        match = func_pattern.search(func_name)

        if match:

            func_number = int(match.group(1)) 

            func_hash = get_function_hash(func_start) 

            if func_hash not in functions:

                functions[func_hash] = [] 

            functions[func_hash].append(func_number) 

    return functions

def print_functions_by_hash(functions):

    count = 1

    for func_hash, func_numbers in functions.items():

        print(f"type{count}: {sorted(func_numbers)}")

        count += 1

def main():

    functions = get_all_functions() 

    print_functions_by_hash(functions) 

if __name__ == "__main__":

    main()

import idaapi

import idautils

import hashlib

import re 

def get_function_bytes(func_start):

    func = idaapi.get_func(func_start)

    func_end = func.end_ea 

    func_bytes = bytearray()

    for addr in range(func_start, func_end):

        func_bytes.append(idaapi.get_byte(addr)) 

    return func_bytes

def get_function_hash(func_start):

    func_bytes = get_function_bytes(func_start)

    return hashlib.md5(func_bytes).hexdigest()

def get_all_functions():

    functions = {}

    func_pattern = re.compile(r'func_(\d+)'

    for func_start in idautils.Functions():

        func_name = idaapi.get_func_name(func_start)

        match = func_pattern.search(func_name)

        if match:

            func_number = int(match.group(1)) 

            func_hash = get_function_hash(func_start) 

            if func_hash not in functions:

                functions[func_hash] = [] 

            functions[func_hash].append(func_number) 

    return functions

def print_functions_by_hash(functions):

    count = 1

    for func_hash, func_numbers in functions.items():

        print(f"type{count}: {sorted(func_numbers)}")

        count += 1

def main():

    functions = get_all_functions() 

    print_functions_by_hash(functions) 

if __name__ == "__main__":

    main()

#include <bits/stdc++.h>

using namespace std;

void type1(int a1, int a2, int a3, int a4) {

    printf("a[%d] = a[%d] + a[%d] + %d + %d;\n", a3, a4, a3, a1, a2);

}

void type2(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ (%d + %d + a[%d])) + %d;\n", a4, a5, a3, a1, a4, a2);

}

void type3(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = a[%d] + a[%d] + %d + %d + %d;\n", a4, a5, a4, a3, a2, a1);

}

void type4(int a1, int a2, int a3) {

    printf("a[%d] = (a[%d] ^ %d) + a[%d];\n", a2, a3, a1, a2);

}

void type5(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (%d ^ (a[%d] + a[%d])) + %d;\n", a3, a1, a3, a4, a2);

}

void type6(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ %d) + %d;\n", a3, a4, a3, a1, a2);

}

void type7(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (a[%d] ^ (%d + a[%d])) + %d;\n", a3, a4, a1, a3, a2);

}

void type8(int a1, int a2, int a3) {

    printf("a[%d] = a[%d] + %d + a[%d];\n", a2, a3, a1, a2);

}

void type9(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (%d ^ %d ^ (a[%d] + a[%d])) + %d;\n", a4, a3, a1, a4, a5, a2);

}

void type10(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (%d ^ (a[%d] + %d + a[%d])) + %d;\n", a4, a1, a4, a3, a5, a2);

}

void type11(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = ((a[%d] + a[%d]) ^ (%d + %d)) + %d;\n", a4, a4, a5, a1, a3, a2);

}

void type12(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ %d ^ %d) + %d;\n", a4, a5, a4, a3, a1, a2);

}

void type13(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ %d ^ (%d + a[%d])) + %d;\n", a4, a5, a1, a3, a4, a2);

}

void type14(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ (%d + %d)) + %d;\n", a4, a5, a4, a1, a3, a2);

}

vector<int> type1e = {0, 2, 11, 12, 15, 21, 26, 28, 39, 44, 53, 57, 62, 63, 72, 74, 77, 81, 90, 94, 97, 108, 113, 118, 121, 122, 125, 142, 144, 145, 151, 161, 162, 166, 181, 183, 185, 192, 199, 203, 215, 226, 230, 238, 242, 244, 247};

vector<int> type21 = {1, 5, 34, 49, 84, 93, 130, 152, 154, 155, 207, 216, 217};

vector<int> type31 = {3, 20, 24, 38, 42, 64, 70, 71, 73, 82, 124, 132, 176, 189, 196, 209, 220, 223, 224, 225, 237, 255};

vector<int> type41 = {4, 9, 10, 14, 22, 23, 25, 31, 32, 33, 45, 69, 92, 99, 103, 111, 115, 117, 129, 147, 149, 150, 156, 164, 165, 172, 175, 241, 250, 254};

vector<int> type51 = {6, 7, 29, 46, 47, 51, 60, 65, 76, 80, 85, 88, 98, 177, 182, 193, 208, 210, 221, 222, 236};

vector<int> type61 = {8, 50, 54, 89, 126, 133, 198, 219, 240};

vector<int> type71 = {13, 48, 55, 106, 119, 120, 127, 148, 170, 171, 197, 218, 233, 248, 252, 253};

vector<int> type81 = {16, 17, 19, 30, 35, 36, 37, 43, 56, 59, 67, 68, 78, 79, 96, 100, 101, 107, 112, 114, 116, 123, 131, 135, 138, 139, 143, 158, 159, 160, 163, 167, 168, 169, 173, 178, 180, 188, 191, 194, 195, 204, 205, 211, 212, 227, 228, 229, 234, 235, 245, 249, 251};

vector<int> type91 = {18, 134, 136, 140, 174, 213, 232};

vector<int> type101 = {27, 58, 86, 104, 110, 146, 157, 179, 184, 202, 239, 243, 246};

vector<int> type111 = {40, 52, 66, 95, 109, 128, 141, 153, 206, 231};

vector<int> type121 = {41, 87, 200, 201};

vector<int> type131 = {61, 91, 102, 137, 186, 187, 190, 214};

vector<int> type141 = {75, 83, 105};

int getType(int opcode) {

    if (find(type1e.begin(), type1e.end(), opcode) != type1e.end()) return 1;

    if (find(type21.begin(), type21.end(), opcode) != type21.end()) return 2;

    if (find(type31.begin(), type31.end(), opcode) != type31.end()) return 3;

    if (find(type41.begin(), type41.end(), opcode) != type41.end()) return 4;

    if (find(type51.begin(), type51.end(), opcode) != type51.end()) return 5;

    if (find(type61.begin(), type61.end(), opcode) != type61.end()) return 6;

    if (find(type71.begin(), type71.end(), opcode) != type71.end()) return 7;

    if (find(type81.begin(), type81.end(), opcode) != type81.end()) return 8;

    if (find(type91.begin(), type91.end(), opcode) != type91.end()) return 9;

    if (find(type101.begin(), type101.end(), opcode) != type101.end()) return 10;

    if (find(type111.begin(), type111.end(), opcode) != type111.end()) return 11;

    if (find(type121.begin(), type121.end(), opcode) != type121.end()) return 12;

    if (find(type131.begin(), type131.end(), opcode) != type131.end()) return 13;

    if (find(type141.begin(), type141.end(), opcode) != type141.end()) return 14;

    return -1; 

}

unsigned char opcode[9999] = {

    197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168, 197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168, 197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168

};

int main() {

    for (int i = 0; i < 1536; i += 6) {

        int a = opcode[i], b = opcode[i + 1], c = opcode[i + 2];

        int indexA = opcode[i + 3] % 32;

        int indexB = opcode[i + 4] % 32;

        int logic = opcode[i + 5];

        switch (getType(logic)) {

            case 1:

                type1(a, b, indexA, indexB);

                break;

            case 2:

                type2(a, b, c, indexA, indexB);

                break;

            case 3:

                type3(a, b, c, indexA, indexB);

                break;

            case 4:

                type4(a, indexA, indexB);

                break;

            case 5:

                type5(a, b, indexA, indexB);

                break;

            case 6:

                type6(a, b, indexA, indexB);

                break;

            case 7:

                type7(a, b, indexA, indexB);

                break;

            case 8:

                type8(a, indexA, indexB);

                break;

            case 9:

                type9(a, b, c, indexA, indexB);

                break;

            case 10:

                type10(a, b, c, indexA, indexB);

                break;

            case 11:

                type11(a, b, c, indexA, indexB);

                break;

            case 12:

                type12(a, b, c, indexA, indexB);

                break;

            case 13:

                type13(a, b, c, indexA, indexB);

                break;

            case 14:

                type14(a, b, c, indexA, indexB);

                break;

            default:

                cout << "Unknown logic type: " << logic << endl;

        }

    }

}

#include <bits/stdc++.h>

using namespace std;

void type1(int a1, int a2, int a3, int a4) {

    printf("a[%d] = a[%d] + a[%d] + %d + %d;\n", a3, a4, a3, a1, a2);

}

void type2(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ (%d + %d + a[%d])) + %d;\n", a4, a5, a3, a1, a4, a2);

}

void type3(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = a[%d] + a[%d] + %d + %d + %d;\n", a4, a5, a4, a3, a2, a1);

}

void type4(int a1, int a2, int a3) {

    printf("a[%d] = (a[%d] ^ %d) + a[%d];\n", a2, a3, a1, a2);

}

void type5(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (%d ^ (a[%d] + a[%d])) + %d;\n", a3, a1, a3, a4, a2);

}

void type6(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ %d) + %d;\n", a3, a4, a3, a1, a2);

}

void type7(int a1, int a2, int a3, int a4) {

    printf("a[%d] = (a[%d] ^ (%d + a[%d])) + %d;\n", a3, a4, a1, a3, a2);

}

void type8(int a1, int a2, int a3) {

    printf("a[%d] = a[%d] + %d + a[%d];\n", a2, a3, a1, a2);

}

void type9(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (%d ^ %d ^ (a[%d] + a[%d])) + %d;\n", a4, a3, a1, a4, a5, a2);

}

void type10(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (%d ^ (a[%d] + %d + a[%d])) + %d;\n", a4, a1, a4, a3, a5, a2);

}

void type11(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = ((a[%d] + a[%d]) ^ (%d + %d)) + %d;\n", a4, a4, a5, a1, a3, a2);

}

void type12(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ %d ^ %d) + %d;\n", a4, a5, a4, a3, a1, a2);

}

void type13(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ %d ^ (%d + a[%d])) + %d;\n", a4, a5, a1, a3, a4, a2);

}

void type14(int a1, int a2, int a3, int a4, int a5) {

    printf("a[%d] = (a[%d] ^ a[%d] ^ (%d + %d)) + %d;\n", a4, a5, a4, a1, a3, a2);

}

vector<int> type1e = {0, 2, 11, 12, 15, 21, 26, 28, 39, 44, 53, 57, 62, 63, 72, 74, 77, 81, 90, 94, 97, 108, 113, 118, 121, 122, 125, 142, 144, 145, 151, 161, 162, 166, 181, 183, 185, 192, 199, 203, 215, 226, 230, 238, 242, 244, 247};

vector<int> type21 = {1, 5, 34, 49, 84, 93, 130, 152, 154, 155, 207, 216, 217};

vector<int> type31 = {3, 20, 24, 38, 42, 64, 70, 71, 73, 82, 124, 132, 176, 189, 196, 209, 220, 223, 224, 225, 237, 255};

vector<int> type41 = {4, 9, 10, 14, 22, 23, 25, 31, 32, 33, 45, 69, 92, 99, 103, 111, 115, 117, 129, 147, 149, 150, 156, 164, 165, 172, 175, 241, 250, 254};

vector<int> type51 = {6, 7, 29, 46, 47, 51, 60, 65, 76, 80, 85, 88, 98, 177, 182, 193, 208, 210, 221, 222, 236};

vector<int> type61 = {8, 50, 54, 89, 126, 133, 198, 219, 240};

vector<int> type71 = {13, 48, 55, 106, 119, 120, 127, 148, 170, 171, 197, 218, 233, 248, 252, 253};

vector<int> type81 = {16, 17, 19, 30, 35, 36, 37, 43, 56, 59, 67, 68, 78, 79, 96, 100, 101, 107, 112, 114, 116, 123, 131, 135, 138, 139, 143, 158, 159, 160, 163, 167, 168, 169, 173, 178, 180, 188, 191, 194, 195, 204, 205, 211, 212, 227, 228, 229, 234, 235, 245, 249, 251};

vector<int> type91 = {18, 134, 136, 140, 174, 213, 232};

vector<int> type101 = {27, 58, 86, 104, 110, 146, 157, 179, 184, 202, 239, 243, 246};

vector<int> type111 = {40, 52, 66, 95, 109, 128, 141, 153, 206, 231};

vector<int> type121 = {41, 87, 200, 201};

vector<int> type131 = {61, 91, 102, 137, 186, 187, 190, 214};

vector<int> type141 = {75, 83, 105};

int getType(int opcode) {

    if (find(type1e.begin(), type1e.end(), opcode) != type1e.end()) return 1;

    if (find(type21.begin(), type21.end(), opcode) != type21.end()) return 2;

    if (find(type31.begin(), type31.end(), opcode) != type31.end()) return 3;

    if (find(type41.begin(), type41.end(), opcode) != type41.end()) return 4;

    if (find(type51.begin(), type51.end(), opcode) != type51.end()) return 5;

    if (find(type61.begin(), type61.end(), opcode) != type61.end()) return 6;

    if (find(type71.begin(), type71.end(), opcode) != type71.end()) return 7;

    if (find(type81.begin(), type81.end(), opcode) != type81.end()) return 8;

    if (find(type91.begin(), type91.end(), opcode) != type91.end()) return 9;

    if (find(type101.begin(), type101.end(), opcode) != type101.end()) return 10;

    if (find(type111.begin(), type111.end(), opcode) != type111.end()) return 11;

    if (find(type121.begin(), type121.end(), opcode) != type121.end()) return 12;

    if (find(type131.begin(), type131.end(), opcode) != type131.end()) return 13;

    if (find(type141.begin(), type141.end(), opcode) != type141.end()) return 14;

    return -1; 

}

unsigned char opcode[9999] = {

    197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168, 197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168, 197, 209, 172, 235, 111, 151, 86, 73, 250, 217, 100, 170, 148, 158, 131, 38, 12, 91, 144, 225, 179, 115, 215, 28, 179, 62, 108, 138, 151, 151, 187, 180, 121, 23, 144, 41, 58, 174, 213, 108, 23, 86, 95, 152, 140, 85, 168, 160, 126, 128, 125, 129, 83, 19, 219, 109, 9, 68, 177, 83, 60, 167, 228, 182, 146, 173, 109, 238, 105, 46, 30, 2, 72, 123, 40, 146, 148, 254, 10, 45, 146, 143, 152, 220, 23, 51, 201, 211, 238, 50, 140, 155, 78, 110, 148, 51, 89, 209, 57, 149, 77, 50, 187, 168, 180, 117, 19, 238, 47, 229, 177, 104, 182, 57, 159, 248, 46, 100, 172, 210, 27, 137, 255, 61, 211, 110, 93, 198, 226, 103, 80, 168, 206, 11, 188, 164, 12, 61, 33, 141, 229, 136, 231, 197, 178, 150, 8, 184, 203, 194, 35, 97, 45, 205, 72, 116, 215, 169, 230, 243, 183, 38, 201, 126, 174, 101, 27, 100, 107, 185, 68, 124, 19, 235, 111, 196, 48, 186, 220, 75, 132, 101, 111, 172, 60, 164, 163, 152, 192, 128, 99, 25, 117, 27, 167, 48, 163, 227, 84, 217, 28, 160, 24, 54, 211, 217, 68, 51, 189, 214, 29, 42, 80, 152, 13, 160, 228, 37, 117, 142, 92, 189, 208, 62, 141, 137, 246, 93, 202, 90, 175, 126, 59, 72, 0, 126, 7, 84, 136, 111, 57, 129, 105, 60, 65, 98, 210, 217, 96, 47, 92, 68, 79, 177, 85, 78, 42, 1, 123, 175, 81, 177, 183, 139, 146, 255, 228, 254, 242, 28, 84, 120, 50, 57, 1, 183, 55, 102, 1, 212, 15, 152, 154, 169, 10, 134, 55, 252, 15, 104, 98, 165, 255, 46, 250, 125, 215, 225, 68, 165, 255, 177, 86, 210, 104, 0, 249, 168, 101, 207, 53, 224, 218, 128, 152, 0, 222, 95, 94, 241, 65, 69, 82, 180, 98, 170, 194, 105, 128, 25, 166, 46, 65, 239, 165, 179, 206, 32, 29, 250, 72, 107, 104, 45, 175, 116, 36, 59, 144, 115, 254, 215, 196, 168, 202, 81, 201, 191, 183, 96, 160, 241, 68, 220, 244, 114, 94, 235, 60, 101, 87, 189, 50, 253, 190, 122, 99, 162, 149, 19, 128, 38, 177, 171, 34, 198, 195, 159, 103, 162, 35, 249, 222, 210, 148, 8, 65, 253, 109, 90, 241, 17, 237, 142, 143, 106, 139, 28, 7, 167, 247, 249, 152, 132, 22, 190, 233, 163, 113, 54, 234, 119, 132, 144, 89, 79, 231, 9, 172, 253, 39, 189, 230, 211, 123, 225, 37, 147, 51, 55, 152, 34, 196, 224, 252, 161, 68, 209, 67, 74, 119, 212, 130, 17, 43, 55, 88, 72, 141, 254, 137, 54, 30, 38, 71, 232, 74, 72, 229, 3, 118, 115, 110, 233, 45, 60, 241, 101, 178, 141, 197, 244, 73, 217, 142, 230, 241, 231, 202, 222, 82, 242, 138, 185, 226, 8, 191, 201, 154, 183, 7, 50, 137, 34, 138, 139, 114, 162, 49, 117, 173, 168

};

int main() {

    for (int i = 0; i < 1536; i += 6) {

        int a = opcode[i], b = opcode[i + 1], c = opcode[i + 2];

        int indexA = opcode[i + 3] % 32;

        int indexB = opcode[i + 4] % 32;

        int logic = opcode[i + 5];

        switch (getType(logic)) {

            case 1:

                type1(a, b, indexA, indexB);

                break;

            case 2:

                type2(a, b, c, indexA, indexB);

                break;

            case 3:

                type3(a, b, c, indexA, indexB);

                break;

            case 4:

                type4(a, indexA, indexB);

                break;

            case 5:

                type5(a, b, indexA, indexB);

                break;

            case 6:

                type6(a, b, indexA, indexB);

                break;

            case 7:

                type7(a, b, indexA, indexB);

                break;

            case 8:

                type8(a, indexA, indexB);

                break;

            case 9:

                type9(a, b, c, indexA, indexB);

                break;

            case 10:

                type10(a, b, c, indexA, indexB);

                break;

            case 11:

                type11(a, b, c, indexA, indexB);

                break;

            case 12:

                type12(a, b, c, indexA, indexB);

                break;

            case 13:

                type13(a, b, c, indexA, indexB);

                break;

            case 14:

                type14(a, b, c, indexA, indexB);

                break;

            default:

                cout << "Unknown logic type: " << logic << endl;

        }

    }

}

import re

from z3 import *

def translate_transformation(line):

    line = line.strip().rstrip(';')

    match = re.match(r'a\[(\d+)\]\s*=\s*(.+)', line)

    if not match:

        raise ValueError(f"Invalid transformation line: {line}")

    index = match.group(1)

    expression = match.group(2)

    def replace_int_literals(match):

        num = match.group(0)

        if match.group(1):

            return num

        else:

            return f'BitVecVal({num}, 32)'

    int_literal_pattern = re.compile(r'(?<!a\[)\b(0x[0-9a-fA-F]+|\d+)\b')

    processed_expression = int_literal_pattern.sub(replace_int_literals, expression)

    python_line = f'a[{index}] = {processed_expression}'

    return python_line

def translate_transformations(cpp_transformations):

    python_constraints = []

    for line in cpp_transformations.strip().split('\n'):

        line = line.split('//')[0]

        if not line.strip() or not line.strip().startswith('a['):

            continue

        python_line = translate_transformation(line)

        python_constraints.append(python_line)

    return python_constraints

def generate_z3_script(transformation_constraints, results, input_size=32):

    script_lines = [

        "from z3 import *",

        "",

        "# Initialize Z3 solver",

        "s = Solver()",

        "",

        "# Define input characters as 8-bit BitVec variables",

        f"input_vars = [BitVec(f'c{{i}}', 8) for i in range({input_size})]",

        "",

        "# Initialize array 'a' with {0} elements, initially set to input characters".format(input_size),

        f"a = [ZeroExt(24, input_vars[i]) for i in range({input_size})]",

        "",

        "# Translated Python Z3 Constraints"

    ]

    for constraint in transformation_constraints:

        script_lines.append(constraint)

    script_lines.extend([

        "",

        "# Define the results array",

        "results = [",

    ])

    for res in results:

        script_lines.append(f"    0x{res:x},")

    script_lines.append("]")

    script_lines.append("")

    script_lines.append("# After all transformations, set constraints that a[i] == results[i]")

    script_lines.append("for i in range({0}):".format(input_size))

    script_lines.append("    s.add(a[i] == results[i])")

    script_lines.append("")

    script_lines.append("# Add constraints for input characters to be printable ASCII (optional)")

    script_lines.append("for c in input_vars:")

    script_lines.append("    s.add(c >= 32, c <= 126)  # Printable ASCII range")

    script_lines.extend([

        "",

        "# Check if the constraints are satisfiable",

        "if s.check() == sat:",

        "    model = s.model()",

        "    # Extract the input string",

        "    input_string = ''.join([chr(model[c].as_long()) for c in input_vars])",

        "    print(f\"Found input: {input_string}\")",

        "else:",

        "    print(\"No solution found.\")",

        ""

    ])

    return '\n'.join(script_lines)

if __name__ == "__main__":

    cpp_transformations =

    results = [

        0xd7765, 0x11ebd, 0x32d12, 0x13778, 0x8a428,

        0xb592, 0x3fa57, 0x1616, 0x3659e, 0x2483a,

        0x2882, 0x508f4, 0xbad, 0x27920, 0xf821,

        0x19f83, 0xf97, 0x33904, 0x170d5, 0x16c,

        0xcf5d, 0x280d2, 0xa8ade, 0x9eaa, 0x9dab,

        0x1f45e, 0x3214, 0x52fa, 0x6d57a, 0x460ed,

        0x124ff, 0x13936

    ]

    translated_constraints = translate_transformations(cpp_transformations)

    z3_script = generate_z3_script(translated_constraints, results, input_size=32)

    with open('z3_solver.py', 'w') as f:

        f.write(z3_script)

    print("Z3 solver script 'z3_solver.py' has been generated.")

import re

from z3 import *

def translate_transformation(line):

    line = line.strip().rstrip(';')

    match = re.match(r'a\[(\d+)\]\s*=\s*(.+)', line)

    if not match:

        raise ValueError(f"Invalid transformation line: {line}")

    index = match.group(1)

    expression = match.group(2)

    def replace_int_literals(match):

        num = match.group(0)

        if match.group(1):

            return num

        else:

            return f'BitVecVal({num}, 32)'

    int_literal_pattern = re.compile(r'(?<!a\[)\b(0x[0-9a-fA-F]+|\d+)\b')

    processed_expression = int_literal_pattern.sub(replace_int_literals, expression)

    python_line = f'a[{index}] = {processed_expression}'

    return python_line

def translate_transformations(cpp_transformations):

    python_constraints = []

    for line in cpp_transformations.strip().split('\n'):

        line = line.split('//')[0]

        if not line.strip() or not line.strip().startswith('a['):

            continue

        python_line = translate_transformation(line)

        python_constraints.append(python_line)

    return python_constraints

def generate_z3_script(transformation_constraints, results, input_size=32):

    script_lines = [

        "from z3 import *",

        "",

        "# Initialize Z3 solver",

        "s = Solver()",

        "",

        "# Define input characters as 8-bit BitVec variables",

        f"input_vars = [BitVec(f'c{{i}}', 8) for i in range({input_size})]",

        "",

        "# Initialize array 'a' with {0} elements, initially set to input characters".format(input_size),

        f"a = [ZeroExt(24, input_vars[i]) for i in range({input_size})]",

        "",

        "# Translated Python Z3 Constraints"

    ]

    for constraint in transformation_constraints:

        script_lines.append(constraint)

    script_lines.extend([

        "",

        "# Define the results array",

        "results = [",

    ])

    for res in results:

        script_lines.append(f"    0x{res:x},")

    script_lines.append("]")

    script_lines.append("")

    script_lines.append("# After all transformations, set constraints that a[i] == results[i]")

    script_lines.append("for i in range({0}):".format(input_size))

    script_lines.append("    s.add(a[i] == results[i])")

    script_lines.append("")

    script_lines.append("# Add constraints for input characters to be printable ASCII (optional)")

    script_lines.append("for c in input_vars:")

    script_lines.append("    s.add(c >= 32, c <= 126)  # Printable ASCII range")

[招生]系统0day安全-IOT设备漏洞挖掘(第6期)!

最后于 2025-1-16 16:47 被Shangwendada编辑 ,原因: 加点东西

上传的附件:
  • enc.cpp (64.15kb,6次下载)
  • getLogic.cpp (13.01kb,6次下载)
  • GenarateFunc.py (5.35kb,6次下载)
  • getSampleFuncArray.py (2.03kb,6次下载)
  • Hook.js (2.78kb,6次下载)
  • makeZ3.py (15.40kb,6次下载)
  • opcode.txt (5.42kb,6次下载)
  • renamefuncs.py (2.05kb,6次下载)
  • z3_solver-exp.py (9.58kb,5次下载)
  • app-debug.apk (2.82MB,7次下载)
  • entry-default-unsigned.hap (1.40MB,5次下载)

文章来源: https://bbs.kanxue.com/thread-285264.htm
如有侵权请联系:admin#unsafe.sh