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3.8

Lights Out game solver.

Asked by burningmace in Programming Languages

Tags: solver, out, lights

The following page contains a JavaScript lights out game. I am trying to make a solver for my Visual Basic lights out game and am having trouble doing it. Could somebody give me a VB translation of this please??? I have also included my VB program code at the bottom.


<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<HTML>
<HEAD>
<META HTTP-EQUIV="Content-Type" CONTENT="text/html;CHARSET=x-sjis">
<TITLE>
A Lights Out Puzzle with Solver
</TITLE>
</HEAD>

<BODY TEXT="#000000" BGCOLOR="#C0E0FF" ALINK="#000000" VLINK="#000000">

<H3>A Lights Out Puzzle with Solver (JavaScript)</H3>

<SCRIPT LANGUAGE="JavaScript">
<!--
// --- constants ---
var imgs = new Array();     // string[], URLs of tile images
var nums = new Array();     // string[], URLs of digit images
var maxcolcount = 7;        // integer, maximum number of columns
var maxrowcount = 7;        // integer, maximum number of rows

var outrangeimg = "outrange.gif";   // string, URL of empty ans cell
var emptyimg    = "empty.gif";      // string, URL of empty cell
// var nosolimg = "nosol.gif";      // string, URL of no solution image
imgs[0] = "blue.gif";
imgs[1] = "red.gif";
imgs[2] = "yellow.gif";
imgs[3] = "green.gif";
imgs[4] = "purple.gif";

// --- global variables ---
var colcount;   // integer, number of columns
var rowcount;   // integer, number of rows
var imgcount;   // integer, number of states of a tile
var cells;      // integer[row][col], current states of tiles
var steps;      // integer, current steps of operation
var playing;    // boolean, if playing
var autogen;    // boolean, if playing with an auto-generated problem

// --- initialization ---
//function onLoad(){}
init();
function init() {
    for (var val = 0; val < imgs.length; val++)
        nums[val] = "number" + val + ".gif";
    var col;
    var row;
    cells = new Array();
    for (col = 0; col < maxcolcount; col++) {
        cells[col] = new Array();
        for (row = 0; row < maxrowcount; row++)
            cells[col][row] = 0;
    }
//  playing = false;
}

// --- event handlers ---
function newSettings(){
    var dimension = document.toolbar.dimension.options[
        document.toolbar.dimension.selectedIndex].value;
    colcount = eval(dimension.substring(0,1));
    rowcount = eval(dimension.substring(2,3));
    imgcount = eval(document.toolbar.colors.options[
        document.toolbar.colors.selectedIndex].value);
    for (var col = 0; col < maxcolcount; col++)
    for (var row = 0; row < maxrowcount; row++) {
        setcellimage(col,row,emptyimg);
        setanscellimage(col,row,outrangeimg);
    }
    newGame();
}
function newGame(){
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++) {
        setcell(col,row, Math.floor(Math.random() * imgcount));
        setanscellimage(col,row,outrangeimg);
    }
    playing = true;
    autogen = true;
    steps = 0;
}
function edit() {
    if (!playing) {
        for (var col = 0; col < colcount; col++)
        for (var row = 0; row < rowcount; row++)
            setcell(col,row,0);
    }
    playing = false;
    autogen = false;
}
function play() {
    playing = true;
}
function ansoperate(col,row) {
    operate(col,row);
    solve();
}
function operate(col,row) {
    if (col >= colcount || row >= rowcount) return;
    flip(col,row);
    if (playing) {
        if (col > 0)            flip(col-1, row);
        if (row > 0)            flip(col, row-1);
        if (col < colcount - 1) flip(col+1, row);
        if (row < rowcount - 1) flip(col, row+1);
        steps++;
        if (autogen && isCleared()) {
            alert("Cleared in " + steps + " steps!");
            autogen = false;
        }
    }
}
// --- operation methods ---
function setcell(col,row,val) {
    cells[col][row] = val;
    setcellimage(col,row,imgs[val]);
}
function setcellimage(col,row,imgsrc) {
    eval("document." + cellname(col,row) + ".src = '" + imgsrc + "'");
}
function setanscellimage(col,row,imgsrc) {
    eval("document.ans" + cellname(col,row) + ".src = '" + imgsrc + "'");
}
function cellname(col,row) {
    return "cell" + col + "_" + row;
}
function flip(col,row) {
    setcell(col,row,(cells[col][row] + 1) % imgcount);
}

// --- status methods ---
function isCleared(){
    var sample = cells[0][0];
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++)
        if (cells[col][row] != sample) return false;
    return true;
}

// --- finite field algebra solver
function modulate(x) {
    // returns z such that 0 <= z < imgcount and x == z (mod imgcount)
    if (x >= 0) return x % imgcount;
    x = (-x) % imgcount;
    if (x == 0) return 0;
    return imgcount - x;
}
function gcd(x, y) { // call when: x >= 0 and y >= 0
    if (y == 0) return x;
    if (x == y) return x;
    if (x > y)  x = x % y; // x < y
    while (x > 0) {
        y = y % x; // y < x
        if (y == 0) return x;
        x = x % y; // x < y
    }
    return y;
}
function invert(value) { // call when: 0 <= value < imgcount
    // returns z such that value * z == 1 (mod imgcount), or 0 if no such z
    if (value <= 1) return value;
    var seed = gcd(value,imgcount);
    if (seed != 1) return 0;
    var a = 1, b = 0, x = value;    // invar: a * value + b * imgcount == x
    var c = 0, d = 1, y = imgcount; // invar: c * value + d * imgcount == y
    while (x > 1) {
        var tmp = Math.floor(y / x);
        y -= x * tmp;
        c -= a * tmp;
        d -= b * tmp;
        tmp = a;  a = c;  c = tmp;
        tmp = b;  b = d;  d = tmp;
        tmp = x;  x = y;  y = tmp;
    }
    return a;
}

// --- finite field matrix solver

var mat;    // integer[i][j]
var cols;   // integer[]
var m;      // count of rows of the matrix
var n;      // count of columns of the matrix
var np;     // count of columns of the enlarged matrix
var r;      // minimum rank of the matrix
var maxr;   // maximum rank of the matrix

function a(i,j)   { return mat[i][cols[j]]; }
function setmat(i,j,val) { mat[i][cols[j]] = modulate(val); }

function solve() {
    var col;
    var row;
    for (var goal = 0; goal < imgcount; goal++) {
        if (solveProblem(goal)) { // found an integer solution
            var anscols = new Array();
            var j;
            for (j = 0; j < n; j++)  anscols[cols[j]] = j;
            for (col = 0; col < colcount; col++)
            for (row = 0; row < rowcount; row++) {
                var value;
                j = anscols[row * colcount + col];
                if (j < r) value = a(j,n); else value = 0;
                setanscellimage(col,row,nums[value]);
            }
            return;
        }
    }
    // (aborted or) no solution
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++)
        setanscellimage(col,row,outrangeimg);
    alert("No solutions!"); // setanscellimage(0,0,nosolimg);
}

//  // general solution:
//  if (j < r) {
//      for (var jj = r; jj < n; jj++) + any[jj] * modulate(-a(j,jj));
//  }
//  else {
//      + any[j];
//  }

function checkNormal() {
    var size = colcount * rowcount;
    m = size;
    n = size;
    np = n + size;
    initMatrix();
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++) {
        var i = row * colcount + col;
        var line = mat[i];
        for (var j = n; j < np; j++)  line[j] = 0;
        line[n + i] = 1;
    }
    if (sweep())
         alert("Always solvable");
    else alert("Not always solvable ( "
        + Math.pow(imgcount,n-r) + " identity patterns )");
}
function initMatrix() {
    maxr = Math.min(m,n);
    mat = new Array();
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++) {
        var i = row * colcount + col;
        var line = new Array();
        mat[i] = line;
        for (var j = 0; j < n; j++) line[j] = 0;
        line[i] = 1;
        if (col > 0)            line[i - 1]        = 1;
        if (row > 0)            line[i - colcount] = 1;
        if (col < colcount - 1) line[i + 1]        = 1;
        if (row < rowcount - 1) line[i + colcount] = 1;
    }
    cols = new Array();
    for (var j = 0; j < np; j++) cols[j] = j;
}
function solveProblem(goal) {
    var size = colcount * rowcount;
    m = size;
    n = size;
    np = n + 1;
    initMatrix();
    for (var col = 0; col < colcount; col++)
    for (var row = 0; row < rowcount; row++)
        mat[row * colcount + col][n] = modulate(goal - cells[col][row]);
    return sweep();
}
function sweep() {
    for (r = 0; r < maxr; r++) {
        if (!sweepStep()) return false; // failed in founding a solution
        if (r == maxr) break;
    }
    return true; // successfully found a solution
}
function sweepStep() {
    var i;
    var j;
    var finished = true;
    for (j = r; j < n; j++) {
        for (i = r; i < m; i++) {
            var aij = a(i,j);
            if (aij != 0)  finished = false;
            var inv = invert(aij);
            if (inv != 0) {
                for (var jj = r; jj < np; jj++)
                    setmat(i,jj, a(i,jj) * inv);
                doBasicSweep(i,j);
                return true;
            }
        }
    }
    if (finished) { // we have: 0x = b (every matrix element is 0)
        maxr = r;   // rank(A) == maxr
        for (j = n; j < np; j++)
            for (i = r; i < m; i++)
                if (a(i,j) != 0)  return false; // no solution since b != 0
        return true;    // 0x = 0 has solutions including x = 0
    }
    alert("Internal error - contact the author to obtain a full solver");
    return false;   // failed in founding a solution
}

function swap(array,x,y) {
    var tmp  = array[x];
    array[x] = array[y];
    array[y] = tmp;
}
function doBasicSweep(pivoti, pivotj) {
    if (r != pivoti) swap(mat,r,pivoti);
    if (r != pivotj) swap(cols,r,pivotj);
    for (var i = 0; i < m; i++) {
        if (i != r) {
            var air = a(i,r);
            if (air != 0)
                for (var j = r; j < np; j++)
                    setmat(i,j, a(i,j) - a(r,j) * air);
        }
    }
}

// --- document writer ---
function createField(imgsrc, prefix) {
    var row;
    var col;
    for (row = 0; row < maxrowcount; row++) {
        for (col = 0; col < maxcolcount; col++) {
            document.write("<IMG SRC='" + imgsrc);
            document.write("' NAME='" + prefix + cellname(col,row));
            document.write("' onmousedown='javascript:" + prefix);
            document.write("operate(" + col + "," + row + ")' ");
            document.write("ondblclick='javascript:" + prefix);
            document.write("operate(" + col + "," + row + ")'>");
        }
        document.write("<BR>");
    }
}

// --- entry point ---
//onLoad();
//-->
</SCRIPT>

<FORM NAME="toolbar">
<TABLE>
<TR><TD>
<INPUT TYPE="button" VALUE="NEW GAME" onClick="javascript:newGame()">
<INPUT TYPE="button" VALUE="SOLVE"    onClick="javascript:solve()">
<INPUT TYPE="button" VALUE="EDIT"     onClick="javascript:edit()">
<INPUT TYPE="button" VALUE="PLAY"     onClick="javascript:play()">
<TR HEIGHT=40pt><TD>
<SELECT NAME="colors" ONCHANGE="javascript:newSettings()">
<OPTION VALUE="2" SELECTED>2 colors
<OPTION VALUE="3"         >3 colors
<OPTION VALUE="4"         >4 colors
<OPTION VALUE="5"         >5 colors
</SELECT>
<SELECT NAME="dimension" ONCHANGE="javascript:newSettings()">
<OPTION VALUE="3x3"         >3 x 3
<OPTION VALUE="4x3"         >4 x 3
<OPTION VALUE="4x4"         >4 x 4
<OPTION VALUE="5x4"         >5 x 4
<OPTION VALUE="5x5"         >5 x 5
<OPTION VALUE="6x5" SELECTED>6 x 5
<OPTION VALUE="6x6"         >6 x 6
<OPTION VALUE="7x7"         >7 x 7
</SELECT>
<INPUT TYPE="button" VALUE="<-- CHECK" onClick="javascript:checkNormal()">
</TABLE>
</FORM>

<SCRIPT LANGUAGE="JavaScript">
<!--
document.write("<TABLE><TR><TD>");
createField(emptyimg, "");
document.write("<TD WIDTH=10%><TD>");
createField(outrangeimg, "ans");
document.write("</TABLE>");
newSettings();
//-->
</SCRIPT>

</BODY></HTML>


Here is my VB game:


Dim stat(35) As Boolean, clicks As Integer 'stat is for the save function and clicks is no. of clicks in game.

'Consts and APIs
Private Const GENERIC_WRITE = &H40000000
Private Const OPEN_EXISTING = 3
Private Const FILE_SHARE_READ = &H1
Private Const FILE_SHARE_WRITE = &H2
Private Const CREATE_NEW = 1
Private Declare Function CreateFile Lib "kernel32" Alias "CreateFileA" (ByVal lpFileName As String, ByVal dwDesiredAccess As Long, ByVal dwShareMode As Long, ByVal lpSecurityAttributes As Long, ByVal dwCreationDisposition As Long, ByVal dwFlagsAndAttributes As Long, ByVal hTemplateFile As Long) As Long
Private Declare Function CloseHandle Lib "kernel32" (ByVal hObject As Long) As Long

Private Sub Form_Load()
Dim col As Long
clicks = 0
dlgOpen.InitDir = App.Path
dlgSave.InitDir = App.Path
For i = 0 To 35
Call Randomize
If Int(Rnd * 2) = 1 Then col = vbRed Else col = vbBlue 'Randomly generate game.
lblBox(i).BackColor = col
Next i
End Sub

Private Sub lblBox_Click(Index As Integer)
'This sub inverts the 5 boxes.

clicks = clicks + 1
If lblBox(Index).BackColor = vbRed Then lblBox(Index).BackColor = vbBlue Else lblBox(Index).BackColor = vbRed
If Index = 0 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index > 0 And Index < 5 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
GoTo CheckWin
End If
If Index = 5 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index > 30 And Index < 35 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
GoTo CheckWin
End If
If Index = 30 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 35 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 6 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 12 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 18 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 24 Then
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 11 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 17 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 23 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If Index = 29 Then
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed
GoTo CheckWin
End If
If lblBox(Index + 1).BackColor = vbRed Then lblBox(Index + 1).BackColor = vbBlue Else lblBox(Index + 1).BackColor = vbRed
If lblBox(Index - 1).BackColor = vbRed Then lblBox(Index - 1).BackColor = vbBlue Else lblBox(Index - 1).BackColor = vbRed
If lblBox(Index - 6).BackColor = vbRed Then lblBox(Index - 6).BackColor = vbBlue Else lblBox(Index - 6).BackColor = vbRed
If lblBox(Index + 6).BackColor = vbRed Then lblBox(Index + 6).BackColor = vbBlue Else lblBox(Index + 6).BackColor = vbRed

CheckWin:
Dim nb As Integer
For i = 0 To 35
If lblBox(i).BackColor = vbBlue Then nb = nb + 1
Next i
If nb = 36 Then
Call MsgBox("You win!!! It took you " & clicks & " moves.", vbSystemModal, "WIN")
Call Form_Load
End If
End Sub

Private Sub mnuAbout_Click()
Call MsgBox("Lights Out V1.0 by Graham Sutherland", vbInformation + vbSystemModal, "About")
End Sub

Private Sub mnuExit_Click()
Dim ret As VbMsgBoxResult
ret = MsgBox("Are you sure you want to quit?", vbCritical + vbYesNo, "Quit?")
If ret = vbYes Then End
End Sub

Private Sub mnuNew_Click()
Call Form_Load
End Sub

Private Sub mnuOpen_Click()
dlgOpen.ShowOpen
If dlgOpen.FileName = "" Then
Call MsgBox("Error: You must choose a file name!", vbCritical + vbSystemModal, "ERROR")
Exit Sub
Open dlgOpen.FileName For Random As #1
End If
Get #1, 100, clicks
For i = 1 To 36
Get #1, i, stat(i - 1)
Next i
Close #1
For i = 0 To 35
If stat(i) = True Then lblBox(i).BackColor = vbRed Else lblBox(i).BackColor = vbBlue
Next i
End Sub

Private Sub mnuRules_Click()
Call MsgBox("Get all squares to become blue. If you click a box, it and the four surrounding boxes' colours are inverted.", vbInformation + vbSystemModal, "Rules")
End Sub

Private Sub mnuSave_Click()
For i = 0 To 35
If lblBox(i).BackColor = vbRed Then stat(i) = True Else stat(i) = False
Next i
dlgSave.ShowSave
If dlgSave.FileName = "" Then
Call MsgBox("Error: You must choose a file name!", vbCritical + vbSystemModal, "ERROR")
Exit Sub
End If
r = CreateFile(dlgSave.FileName, GENERIC_WRITE, FILE_SHARE_READ Or FILE_SHARE_WRITE, ByVal 0&, CREATE_NEW, 0, 0)
CloseHandle r
Open dlgSave.FileName For Random As #1
Put #1, 100, clicks
For i = 1 To 36
Put #1, i, stat(i - 1)
Next i
Close #1
End Sub

Private Sub mnuSolve_Click()
Call Load(Form2)
Form2.Show
End Sub




Form2 will contain the solver, but has no code so far.
If anybody can translate the Java to VB or just supply me with some code to solve 6x6 Lights Out grids then I would be very grateful.
Thanks in advance!
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About this solution

Zone: Programming Languages
Tags: solver, out, lights
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Solution Provided By: crazycomputers
Participating Experts: 2
Solution Grade: A
 
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