FPS游戲:視角 4*4 矩陣的特點


在前面的FPS游戲實現GDI透視中,我們通過三角函數,並配合坐標計算出了敵人的位置,該方法時比較笨的一種方式,但卻很通用,基本上,只要是FPS類游戲,稍微修改一下代碼中的基地址,就可以通用,本次我們將研究通過查找相機矩陣獲得自身位置,上一篇文章中我已經講解了關於各種坐標的找法。

上篇文章(找基址):https://www.cnblogs.com/LyShark/p/11620244.html
快速找基地址:https://www.cnblogs.com/LyShark/p/13519135.html

> 本人坐標x = server.dll+4F2FEC + 288 - 8
> 本人坐標y = server.dll+4F2FEC + 288 - 4
> 本人坐標z = server.dll+4F2FEC + 288

> 敵人x = server.dll+4F2FFC + 288 - 8
> 敵人y = server.dll+4F2FFC + 288 - 4
> 敵人z = server.dll+4F2FFC + 288 

> 鼠標 x = engine.dll+61D254 + 4
> 鼠標 y = engine.dll+61D254
> 鼠標 x = client.dll+4C0300 + 4
> 鼠標 y = client.dll+4C0300

> FOV = client.dll+5046F0
> FOV = client.dll+504628
> FOV = client.dll+5047B8
> FOV = client.dll+50489C
> FOV = engine.dll+3C1720

> 算上我自己的人機數量:  server.dll+4EEFE8
> 算上我自己的人機數量: engine.dll+5D29BC

> 不算我自己的人機數量:  server.dll+4EEFE0
> 不算我自己的人機數量: server.dll+588878

自己血量偏移 = e4
> 自己血量: server.dll+54B6C8
> 自己血量: server.dll+54A82C
> 自己血量: server.dll+4F2FEC
> 敵人血量: server.dll + 4F2FFC + e4

> 本人陣營: server.dll+4F2FEC + 1F4
> 敵人陣營: server.dll+4F2FFC + 1F4

> 本人陣營: server.dll+54A82C + 1F4
> 本人陣營: server.dll+54B6C8 + 1F4

熟悉矩陣特點

通常情況下Dx9中會采用4*4的矩陣,這里我分別找了三款CS系列游戲的矩陣,並來分析一下他們的異同點。

1.找矩陣的方法就是不斷移動自己相機位置,最好拿把狙擊槍,然后開鏡搜索變動的數值,移動身體搜索變動數值,或者是開鏡移動身體搜索變動的數值,
這樣配合來找,最終可以鎖定在2000個數值左右,然后就可以開找,通常矩陣頭晃動鼠標不會出現大於3的值,一般會在-0.x - 1.x 之間徘徊。

豎矩陣的第三個值,通常為0,就算亂晃,也會保持0的位置。

找到矩陣地址,當我們讓人物只跳動時,矩陣呈現出來的效果如下。

上下晃動鼠標,矩陣呈現出來的效果如下。

左右晃動鼠標,矩陣呈現出來的效果如下。

開啟關閉狙擊鏡,矩陣變化。

完全亂晃狀態如下,4*4

矩陣,不只一個,如下是另一處,矩陣的數據。

另一處矩陣位置。

人物死后,矩陣被初始化。


不是矩陣的矩陣

第一種不是矩陣的情況,數據跳動幅度較亂,並且不是4*4在跳動,而是很多行。

第二種,混亂無序,不連貫,不是一個結構體,不是矩陣。

第三種,最常見的亂序,不是矩陣。

第四種,加密后的地址,晃動鼠標,不會發生任何變化。


代碼中相機對應關系

相機X對應關系

相機Y對應關系

相機Z對應關系,我們只用到了前三行,后面的不用了。

4x4豎矩陣,是這樣,只是前三行,最后跑到了下面。

如果是橫矩陣會發生變化,如下。

所以上面的算法部分,需要稍微小改一下,即可完成橫矩陣的透視效果。

番外篇(轉載一段代碼)

在前面的GID透視教程中我使用的是易語言封裝的DC函數實現的外部透視,今天在網上找到一個別人用C#實現的透視代碼,我把它轉過來備份一下哈,其實原理是差不多的,基本上就是寫法會有些變化漢語變英文。

轉載了別人的東西,多少還是要留下來源,以表示對作者成果的尊重:https://www.cnblogs.com/xuexidememeda/

c# 調用dll封裝類
class DllHelper
    {
        public const int COLORBLACK = 0;//黑色
        public const int COLORWHITE = 16777215;//#白色
        public const int COLORPINKISHRED = 16711935;//#品紅
        public const int COLORCYAN = 8388608;//#藏青
        public const int COLORGREEN = 32768;//#墨綠
        public const int COLORDEEPCYAN = 8421376;//#深青
        public const int COLORYELLOW = 65535;//#黃色
        public const int COLORBLUE = 16711680;//#藍色
        public const int COLORRED = 255;//#紅色
        public const int COLOGRAY = 8421504;//#灰色
        public const int COLOORANGE = 33023;//#橙黃

        [DllImport("SoftwareHelper.dll", EntryPoint = "InitDX11")]
        public static extern void InitDX11(int wordsize);//初始化一個dx11透明窗口參數為字體大小建議15
        [DllImport("SoftwareHelper.dll", EntryPoint = "SafetyQuit")]
        public static extern void SafetyQuit();//安全退出放在窗口是否可以被關閉事件卸載繪圖
        [DllImport("SoftwareHelper.dll", EntryPoint = "SetWindowPos_Top")]
        public static extern bool SetWindowPos_Top(int handle);//設置窗口置頂參數為窗口句柄
        [DllImport("SoftwareHelper.dll", EntryPoint = "MoveWindows")]
        public static extern void MoveWindows(int handle,int newleft,int newtop,int newwidth,int newheight);//移動窗口     窗口句柄 窗口左邊 窗口頂部 窗口高度寬度
        [DllImport("SoftwareHelper.dll", EntryPoint = "DrawText")]//寫字
        public static extern void DrawText(int X, int Y, string text, int color); //屏幕xy 和文本 顏色用上面定義的常量
        [DllImport("SoftwareHelper.dll", EntryPoint = "DrawLine")]//畫線
        public static extern void DrawLine(int X, int Y, int Xend, int Yend, int linePx, int color);//x為開始x坐標 x1為結束x坐標 linepx為線寬度 顏色用上面定義的常量
        [DllImport("SoftwareHelper.dll", EntryPoint = "ProcessIsExist")]//判斷指定進程是否存在(此判斷與進程其它信息無關聯)(存在返回真,不存在或失敗返回假)
        public static extern bool ProcessIsExist(string processname);//進程名稱帶后zhui
        [DllImport("SoftwareHelper.dll", EntryPoint = "DrawSquare")]//畫出描邊方框
        public static extern void DrawSquare(int X, int Y, int W, int H ,int colorout, int colorin,int linepx);//colorout外部方框顏色 in為內部 linepx線寬
        [DllImport("SoftwareHelper.dll", EntryPoint = "GetDX11CreateWindowHandle")]//得到對象dx11創建的透明窗口句柄  為了防止重復和游戲 枚舉窗口名稱為 DX11t?h?i?s? ?i?s? ?y?o?u? ?w?i?n?d?o?w?
        public static extern int GetDX11CreateWindowHandle();
        [DllImport("SoftwareHelper.dll", EntryPoint = "OptimizeCUP")]//優化cup防止繪制卡
        public static extern void OptimizeCUP(int time);//毫秒
        [DllImport("SoftwareHelper.dll", EntryPoint = "OptimizeDelayed")]//優化延時
        public static extern void OptimizeDelayed(int time);//毫秒
        [DllImport("SoftwareHelper.dll", EntryPoint = "OptimizeSystem")]//系統處理事件同樣是為了優化cup防止卡
        public static extern void OptimizeSystem();
        [DllImport("SoftwareHelper.dll", EntryPoint = "StartDrawing")]//開始繪圖 繪圖前調用
        public static extern void StartDrawing();

        [DllImport("SoftwareHelper.dll", EntryPoint = "EndDrawing")]//結束繪圖 繪圖結束調用
        public static extern void EndDrawing();

        [DllImport("SoftwareHelper.dll", EntryPoint = "MouseMoveInGame")]//鼠標可以在游戲內移動游戲外部自瞄調用
        public static extern void MouseMoveInGame(int handle,int x,int y);//游戲窗口句柄  xy坐標

    }
c#內存輔助類
class GameUtil
    {
        public struct RECT
        {
            public int Left; //最左坐標
            public int Top; //最上坐標
            public int Right; //最右坐標
            public int Bottom; //最下坐標
        }
        public struct RECTClient
        {
            public uint Left;
            public uint Top;
            public uint Right;
            public uint Bottom;
        }
        public struct LPPOINT
        {
            public int x;
            public int y;

        }
        [DllImport("kernel32.dll", EntryPoint = "ReadProcessMemory")]
        public static extern int _MemoryReadByteSet(int hProcess, int lpBaseAddress, byte[] lpBuffer, int nSize, int lpNumberOfBytesRead);

        [DllImport("kernel32.dll", EntryPoint = "ReadProcessMemory")]
        public static extern int _MemoryReadInt32(int hProcess, int lpBaseAddress, ref int lpBuffer, int nSize, int lpNumberOfBytesRead);

        [DllImport("kernel32.dll", EntryPoint = "WriteProcessMemory")]
        public static extern int _MemoryWriteByteSet(int hProcess, int lpBaseAddress, byte[] lpBuffer, int nSize, int lpNumberOfBytesWritten);

        [DllImport("kernel32.dll", EntryPoint = "WriteProcessMemory")]
        public static extern int _MemoryWriteInt32(int hProcess, int lpBaseAddress, ref int lpBuffer, int nSize, int lpNumberOfBytesWritten);

        [DllImport("kernel32.dll", EntryPoint = "GetCurrentProcess")]
        public static extern int GetCurrentProcess();

        [DllImport("kernel32.dll", EntryPoint = "OpenProcess")]
        public static extern int OpenProcess(int dwDesiredAccess, int bInheritHandle, int dwProcessId);

        [DllImport("kernel32.dll", EntryPoint = "CloseHandle")]
        public static extern int CloseHandle(int hObject);

        [DllImport("kernel32.dll", EntryPoint = "RtlMoveMemory")]
        public static extern int _CopyMemory_ByteSet_Float(ref float item, ref byte source, int length);
        const int PROCESS_POWER_MAX = 2035711;
        [DllImport("kernel32.dll")]
        public static extern bool ReadProcessMemory(IntPtr hProcess, int lpBaseAddress, byte[] lpBuffer, uint nSize, out int lpNumberOfBytesRead);

        [DllImport("user32.dll")]
        [return: MarshalAs(UnmanagedType.Bool)]
        static extern bool GetWindowRect(IntPtr hWnd, ref RECT lpRect);

        [DllImport("user32")]
        public static extern bool GetClientRect(IntPtr hwnd,out RECTClient lpRect );
        [DllImport("user32")]
        public static extern bool ClientToScreen(IntPtr hwnd, out LPPOINT point);
        //打開進程  
        //kernel32.dll系統動態鏈接庫  
        [DllImportAttribute("kernel32.dll", EntryPoint = "OpenProcess")]
        public static extern IntPtr OpenProcess
        (
            int iAccess,
            bool Handle,
            int ProcessID
        );
        //關閉句柄  
        [DllImport("kernel32.dll", EntryPoint = "CloseHandle")]
        private static extern void CloseHandle
        (
            IntPtr hObject
        );
        //取窗口句柄 FindWindow
        [DllImport("User32.dll", EntryPoint = "FindWindow")]
        public extern static IntPtr FindWindow(string lpClassName, string lpWindowName);

        [DllImport("User32.dll", EntryPoint = "FindWindowEx")]
        public static extern IntPtr FindWindowEx(IntPtr hwndParent, IntPtr hwndChildAfter, string lpClassName, string lpWindowName);
        //移動窗口
        /// <summary>
        /// 設置目標窗體大小,位置
        /// </summary>
        /// <param name="hWnd">目標句柄</param>
        /// <param name="x">目標窗體新位置X軸坐標</param>
        /// <param name="y">目標窗體新位置Y軸坐標</param>
        /// <param name="nWidth">目標窗體新寬度</param>
        /// <param name="nHeight">目標窗體新高度</param>
        /// <param name="BRePaint">是否刷新窗體</param>
        /// <returns></returns>
        [DllImport("user32.dll", CharSet = CharSet.Auto)]
        public static extern int MoveWindow(IntPtr hWnd, int x, int y, int nWidth, int nHeight, bool BRePaint);
        //---------------------------------------------------------------------------------------------------------------



        /// <summary>
        /// 讀內存整數型
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <param name="bAddress">0x地址</param>
        /// <returns>0失敗</returns>
        public static int ReadMemoryInt32(int pID, int bAddress)
        {
            int num = 0;
            int handle = getProcessHandle(pID);
            int num3 = GameUtil._MemoryReadInt32(handle, bAddress, ref num, 4, 0);
            GameUtil.CloseHandle(handle);
            if (num3 == 0)
            {
                return 0;
            }
            else
            {
                return num;
            }
        }

        /// <summary>
        /// 寫內存整數型
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <param name="bAddress">0x地址</param>
        /// <param name="value">寫入值</param>
        /// <returns>false失敗 true成功</returns>
        public static bool WriteMemoryInt32(int pID, int bAddress, int value)
        {
            int handle = getProcessHandle(pID);
            int num2 = GameUtil._MemoryWriteInt32(handle, bAddress, ref value, 4, 0);
            GameUtil.CloseHandle(handle);
            return num2 != 0;
        }

        /// <summary>
        /// 讀內存小數型
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <param name="bAddress">0x地址</param>
        /// <returns>0失敗</returns>
        public static float ReadMemoryFloat(int pID, int bAddress)
        {
            //byte[] array = test.GetVoidByteSet(4);
            byte[] array = new byte[4];//不取空字節集也可以正確轉換成單精度小數型
            int handle = getProcessHandle(pID);
            int temp = GameUtil._MemoryReadByteSet(handle, bAddress, array, 4, 0);
            if (temp == 0)
            {
                return 0f;
            }
            else
            {
                return GameUtil.getFloatFromByteSet(array, 0);
            }
        }

        /// <summary>
        /// 寫內存小數型
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <param name="bAddress">0x地址</param>
        /// <param name="value">寫入數據</param>
        /// <returns>false失敗</returns>
        public static bool WriteMemoryFloat(int pID, int bAddress, float value)
        {
            //byte[] byteSet = test.GetByteSet(value);
            byte[] byteSet = BitConverter.GetBytes(value);//https://msdn.microsoft.com/en-us/library/yhwsaf3w
                                                          //byte[] byteSet = Encoding.GetEncoding("gb2312").GetBytes(value.ToString());
            return GameUtil.WriteMemoryByteSet(pID, bAddress, byteSet, 0);
        }

        /// <summary>
        /// 寫內存字節集
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <param name="bAddress">0x地址</param>
        /// <param name="value">字節數據</param>
        /// <param name="length">寫入長度 0代表字節數據的長度</param>
        /// <returns>false失敗</returns>
        private static bool WriteMemoryByteSet(int pID, int bAddress, byte[] value, int length = 0)
        {
            int handle = GameUtil.getProcessHandle(pID);
            int nSize = (length == 0) ? value.Length : length;
            int tmp = GameUtil._MemoryWriteByteSet(handle, bAddress, value, nSize, 0);//byte[]屬於引用類型 引用類型不用ref也是以傳址方式進行運算
                                                                                  //test.CloseHandle(pID);
            return tmp != 0;
        }

        /// <summary>
        /// 取空白字節集
        /// </summary>
        /// <param name="num"></param>
        /// <returns></returns>
        public static byte[] getVoidByteSet(int num)
        {
            if (num <= 0)
            {
                num = 1;
            }
            string text = "";
            for (int i = 0; i < num; i++)
            {
                text += "0";
            }
            return Encoding.UTF8.GetBytes(text);
        }

        /// <summary>
        /// 取進程句柄
        /// </summary>
        /// <param name="pID">進程ID</param>
        /// <returns>進程句柄</returns>
        public static int getProcessHandle(int pID)
        {
            if (pID == -1)
            {
                return GameUtil.GetCurrentProcess();
            }
            else
            {
                return GameUtil.OpenProcess(PROCESS_POWER_MAX, 0, pID);
            }
        }

        /// <summary>
        /// 字節集轉小數型
        /// </summary>
        /// <param name="sourceValue">字節集</param>
        /// <param name="index">索引</param>
        /// <returns></returns>
        public static float getFloatFromByteSet(byte[] sourceValue, int index)
        {
            float result = 0f;
            GameUtil._CopyMemory_ByteSet_Float(ref result, ref sourceValue[index], 4);
            return result;
        }

        /// <summary>
        /// 獲取字節集
        /// </summary>
        /// <param name="data">需要轉換到字節集的數據</param>
        /// <returns></returns>
        public static byte[] getByteSet(float data)
        {
            return Encoding.UTF8.GetBytes(data.ToString());
        }

        //根據名稱取進程PID 不得有后綴.exe
        //根據進程名獲取PID  不得有后綴.exe
        public static int getPidByProcessName(string processName)
        {
            Process[] ArrayProcess = Process.GetProcessesByName(processName);
            foreach (Process pro in ArrayProcess)
            {
                return pro.Id;
            }
            return 0;
        }
        //獲取模塊地址
        public static int getMoudleAddress(string processName ,string dllname )
        {
            foreach (Process p in Process.GetProcessesByName(processName))
            {

                foreach (ProcessModule m in p.Modules)
                {
                    if (m.ModuleName.Equals(dllname))
                        return (int)m.BaseAddress;
                }

            }
            return 0;
        }
        //取窗口句柄 這里傳入的值是窗口標題
        public static IntPtr getWindowsHandler_findwindow(String classname,String windowtitle)
        {
            IntPtr maindHwnd = FindWindow(classname, windowtitle); //獲得QQ登陸框的句柄  
                return maindHwnd;
        }

        public static RECT getWindowsRect(IntPtr windowsHandler)
        {
            RECT rec = new RECT();
            GetWindowRect(windowsHandler, ref rec);//h為窗口句柄
            return rec;
        }
    }
窗口類c#
public partial class Form1 : Form
    {
        int PID;
        int matrix;//矩陣基質
        float formwidth;//窗口寬度
        float formheight;//窗口高度
        int processmoudle;//進程模塊;
        IntPtr windowshandle;//窗口句柄
        int dx11hwnd;//dx11創建的透明窗口句柄
        private void loop()//循環
        {
            while (true)
            {
                Util.DllHelper.OptimizeCUP(2);//防止占用cpu
                reflushWindows();
                startDrawit();
                Util.DllHelper.OptimizeDelayed(1);//防止占用cpu
            }
        }
        private void intData()
        {
            PID= Util.GameUtil.getPidByProcessName("cstrike");
            windowshandle=Util.GameUtil.getWindowsHandler_findwindow("Valve001", "Counter-Strike");
            processmoudle=Util.GameUtil.getMoudleAddress("cstrike", "cstrike.exe");
            matrix = processmoudle + 25297152;
            formwidth= Util.GameUtil.getWindowsRect(windowshandle).Right - Util.GameUtil.getWindowsRect(windowshandle).Left;
            formheight= Util.GameUtil.getWindowsRect(windowshandle).Bottom - Util.GameUtil.getWindowsRect(windowshandle).Top;
            //this.ShowInTaskbar = false;//任務欄顯示為假
            Debug.Print(PID + "PID" + "windowshandle" + windowshandle + "matrix" + matrix + "formwidth" + formwidth + "formheight" + formheight);
        }
        private void startIt()
        {
            Util.DllHelper.InitDX11(14);//初始化dx11
            dx11hwnd = Util.DllHelper.GetDX11CreateWindowHandle();//取得dx11創建的透明窗口的句柄
            if (dx11hwnd == 0) MessageBox.Show("DX11加載失敗"); else MessageBox.Show("DX11加載成功");
            reflushWindows();
            loop();

        }
        private void startDrawit()
        {
            Util.DllHelper.StartDrawing();//開始繪圖
            Util.DllHelper.DrawText(0, 0, "C#dx11", Util.DllHelper.COLORYELLOW);
            worldtoScreen();
            Util.DllHelper.EndDrawing();//結束繪圖
        }
        private void worldtoScreen()//游戲世界轉屏幕
        {
            float arr00 = Util.GameUtil.ReadMemoryFloat(PID, matrix);
            float arr01 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 4);
            float arr02 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 8);
            float arr03 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 12);
            float arr10 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 16);
            float arr11 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 20);
            float arr12 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 24);
            float arr13 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 28);
            float arr20 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 32);
            float arr21 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 36);
            float arr22 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 40);
            float arr23 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 44);
            float arr30 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 48);
            float arr31 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 52);
            float arr32 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 56);
            float arr33 = Util.GameUtil.ReadMemoryFloat(PID, matrix + 60);
            //得到矩陣所有值
            float sightwidth = formwidth / 2;//視角寬
            float sightheight = formheight / 2;//視角高

            float enemy_x = Util.GameUtil.ReadMemoryFloat(PID, processmoudle + 17369300 - 8);
            float enemy_y = Util.GameUtil.ReadMemoryFloat(PID, processmoudle + 17369300 - 4);
            float enemy_z = Util.GameUtil.ReadMemoryFloat(PID, processmoudle + 17369300);
            float camera_Z = arr02 * enemy_x + arr12 * enemy_y + arr22 * enemy_z + arr32;
            if (camera_Z <= 0.01) return;

            float zoom = 1 / camera_Z;//縮放比例
            float camera_x = sightwidth + (arr00 * enemy_x + arr10 * enemy_y + arr20 * enemy_z + arr30) * zoom * sightwidth;
            float camera_y = sightheight - (arr01 * enemy_x + arr11 * enemy_y + arr21 * (enemy_z + 30) + arr31) * zoom * sightheight * 1;
            float camera_y2 = sightheight - (arr01 * enemy_x + arr11 * enemy_y + arr21 * (enemy_z - 50) + arr31) * zoom * sightheight * 1 - 20;
            float squareheight = camera_y2 - camera_y;//方框高度
            Util.DllHelper.DrawSquare((int)(camera_x - squareheight / 4), (int)camera_y,(int) (squareheight / 2), (int)squareheight, Util.DllHelper.COLORYELLOW, Util.DllHelper.COLORRED,1);//繪制方框
            Util.DllHelper.OptimizeSystem();//系統處理事件防止cup過多
            Util.DllHelper.DrawLine((int)sightwidth,0, (int)camera_x, (int)camera_y,1,Util.DllHelper.COLORBLUE);//畫直線
        }
        private void reflushWindows()//刷新窗口
        {
            Util.GameUtil.RECTClient rec = new Util.GameUtil.RECTClient() ;
            Util.GameUtil.LPPOINT point = new Util.GameUtil.LPPOINT();

            Util.GameUtil.GetClientRect(windowshandle,out rec);
            Util.GameUtil.ClientToScreen(windowshandle, out point);
            formwidth = rec.Right-rec.Left;
            formheight = rec.Bottom-rec.Top ;
            Util.DllHelper.MoveWindows(dx11hwnd, point.x, point.y, (int)formwidth, (int)formheight);
            Util.DllHelper.SetWindowPos_Top(dx11hwnd);
        }
        public Form1()
        {
            InitializeComponent();
        }

        private void button1_Click(object sender, EventArgs e)
        {
            startIt();

        }

        private void Form1_Load(object sender, EventArgs e)
        {
            intData();
        }

       

        private void Form1_FormClosing(object sender, FormClosingEventArgs e)
        {
            //  Util.DllHelper.SafetyQuit();
            Environment.Exit(0);
        }
    }


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