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<body>
<div id="content">
<h1 class="title">Batman</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org9d28c77">1. Shadow of the Night</a>
<ul>
<li><a href="#org121773b">1.1. Introduction</a></li>
<li><a href="#org87d6fdf">1.2. Résolution</a></li>
<li><a href="#orgd969ee0">1.3. Programme en C</a></li>
<li><a href="#org8545562">1.4. Comparaison avec le code d'Alain-Delpuch</a></li>
</ul>
</li>
</ul>
</div>
</div>


<div id="outline-container-org9d28c77" class="outline-2">
<h2 id="org9d28c77"><span class="section-number-2">1</span> Shadow of the Night</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-org121773b" class="outline-3">
<h3 id="org121773b"><span class="section-number-3">1.1</span> Introduction</h3>
<div class="outline-text-3" id="text-1-1">
<p>
Dans shadow of the Night, Batman se situe sur un immeuble qui peut être représenter par une grille.
Sur cette grille, se trouve une bombe.
Initialement, on connais la position de Batman et on ignore celle de la bombe. Batman dispose de N tours pour trouver la bombe, et la désarmorser.
À chaque tour :
</p>
<ul class="org-ul">
<li>Batman obtient une indication par rapport à la position relative de la bombe par rapport à Batman.
(Es ce que la bombe se trouve à droite/gauche/haut/bas de batman)</li>
<li>Batman indique la position (x,y) de la tuile sur laquelle il saute.</li>
</ul>


<div id="org3c3802f" class="figure">
<p><img src="http:64.media.tumblr.com/611aadc931770a6ca74f9534af11a2bf/tumblr_n2tokwxVpJ1qa70eyo2_r1_500.png" alt="tumblr_n2tokwxVpJ1qa70eyo2_r1_500.png" width="400px" />
</p>
<p><span class="figure-number">Figure 1: </span>Le tout n'est pas de trouver la bombe, mais aussi de la désamorcer</p>
</div>
</div>
</div>

<div id="outline-container-org87d6fdf" class="outline-3">
<h3 id="org87d6fdf"><span class="section-number-3">1.2</span> Résolution</h3>
<div class="outline-text-3" id="text-1-2">

<div id="org939d4af" class="figure">
<p><img src="./img/debut.png" alt="debut.png" width="400px" />
</p>
<p><span class="figure-number">Figure 2: </span>Premier Cas</p>
</div>

<p>
Une solution pour résoudre ce problème est de déterminer une sous grille de la grille initalie dans laquel la bombe se situe.
Pour celà, on note XMin, XMax, YMin et YMax les coordonnées de la sous grille dans laquelle la bombe se situe, et PosX et PosY la position de batman.
</p>
<ul class="org-ul">
<li>Si la bombe se situe vers la droite de Batman, alors il doit se déplacer vers la droite, même si on ignore de combien de case. Partant de cette conclusion, on sais que XMin = PosX, et on déplace batman de la moitier de la grille relatif, c'est à dire PosX += (XMax-XMin) / 2.</li>
<li>Si la bombe se situe vers la gauche, on peut déterminer XMax au lieu de XMin, et on déplace Batman vers la gauche.</li>
<li>Même histoire si Batman doit se déplacer en haut ou en bas, mais on utilise YMin au lieu de XMin et YMax = XMax.</li>
</ul>

<p>
Par exemple :
</p>


<div id="org7851cbf" class="figure">
<p><img src="./img/et0.png" alt="et0.png" width="400px" />
</p>
<p><span class="figure-number">Figure 3: </span>Tour 0</p>
</div>


<div id="org9fca21c" class="figure">
<p><img src="./img/et1.png" alt="et1.png" width="400px" />
</p>
<p><span class="figure-number">Figure 4: </span>Tour 1</p>
</div>


<div id="org96e1fae" class="figure">
<p><img src="./img/et2.png" alt="et2.png" width="400px" />
</p>
<p><span class="figure-number">Figure 5: </span>Tour 2</p>
</div>

<p>
Ici Batman sait à chaque tour que la bombe se situe en haut à droite, mais il ignore de combien de case.
A chaque tour, chaque axe de la grille dans laquel la bombe se situe est divisé par 2, jusqu'à ce que Batman trouve la bombe.
</p>
</div>
</div>

<div id="outline-container-orgd969ee0" class="outline-3">
<h3 id="orgd969ee0"><span class="section-number-3">1.3</span> Programme en C</h3>
<div class="outline-text-3" id="text-1-3">
<p>
(Mon cote @Mewily sur coding game)
</p>
<div class="org-src-container">
<pre class="src src-C"><span class="linenr"> 1: </span>#include &lt;stdio.h&gt;
<span class="linenr"> 2: </span>
<span class="linenr"> 3: </span>int main()
<span class="linenr"> 4: </span>{
<span class="linenr"> 5: </span>    int PosX, PosY, XMax, YMax, MaxTurn;
<span class="linenr"> 6: </span>    scanf("%i %i %d %d %d", &amp;XMax, &amp;YMax, &amp;MaxTurn, &amp;PosX, &amp;PosY); //Read the input
<span class="linenr"> 7: </span>    int XMin = 0, YMin = 0;
<span class="linenr"> 8: </span>
<span class="linenr"> 9: </span>    while (1)  // Game loop
<span class="linenr">10: </span>    {
<span class="linenr">11: </span>	char BombDir[2] = "??";
<span class="linenr">12: </span>	scanf("%s", BombDir);
<span class="linenr">13: </span>
<span class="linenr">14: </span>	for(int i = 0; i &lt; 2; i++) // Iterate on BombDir (for the 2 char)
<span class="linenr">15: </span>	{
<span class="linenr">16: </span>	    switch(BombDir[i])
<span class="linenr">17: </span>	    {
<span class="linenr">18: </span>		case 'R':   XMin = PosX;    PosX += (XMax-XMin+1) / 2;  break;
<span class="linenr">19: </span>		case 'L':   XMax = PosX;    PosX -= (XMax-XMin+1) / 2;  break;
<span class="linenr">20: </span>		case 'D':   YMin = PosY;    PosY += (YMax-YMin+1) / 2;  break;
<span class="linenr">21: </span>		case 'U':   YMax = PosY;    PosY -= (YMax-YMin+1) / 2;  break;
<span class="linenr">22: </span>		default:                                                break;
<span class="linenr">23: </span>	    }
<span class="linenr">24: </span>	}
<span class="linenr">25: </span>	printf("%i %i\n", PosX, PosY);
<span class="linenr">26: </span>    }
<span class="linenr">27: </span>    return 0;
<span class="linenr">28: </span>}
</pre>
</div>
</div>
</div>


<div id="outline-container-org8545562" class="outline-3">
<h3 id="org8545562"><span class="section-number-3">1.4</span> Comparaison avec le code d'Alain-Delpuch</h3>
<div class="outline-text-3" id="text-1-4">
<p>
Le code d'Alain-Delpuch :
</p>
<div class="org-src-container">
<pre class="src src-C"><span class="linenr"> 1: </span>#include &lt;stdio.h&gt;
<span class="linenr"> 2: </span>
<span class="linenr"> 3: </span>int 
<span class="linenr"> 4: </span>main() {
<span class="linenr"> 5: </span>    int W; // width of the building.
<span class="linenr"> 6: </span>    int H; // height of the building.
<span class="linenr"> 7: </span>    scanf("%d%d", &amp;W, &amp;H);
<span class="linenr"> 8: </span>
<span class="linenr"> 9: </span>    int N; // maximum number of turns before game over.
<span class="linenr">10: </span>    scanf("%d", &amp;N);
<span class="linenr">11: </span>
<span class="linenr">12: </span>    int X0;
<span class="linenr">13: </span>    int Y0;
<span class="linenr">14: </span>    scanf("%d%d", &amp;X0, &amp;Y0);
<span class="linenr">15: </span>
<span class="linenr">16: </span>    int xmin = 0 ; int xmax = W ;
<span class="linenr">17: </span>    int ymin = 0 ; int ymax = H ;
<span class="linenr">18: </span>
<span class="linenr">19: </span>    // game loop
<span class="linenr">20: </span>    while (N--) {
<span class="linenr">21: </span>	char bombDir[4]; // the direction of the bombs from batman's current location (U, UR, R, DR, D, DL, L or UL)
<span class="linenr">22: </span>	scanf("%s", bombDir);
<span class="linenr">23: </span>	switch (bombDir[0]) {
<span class="linenr">24: </span>	    case 'U' : ymax = Y0 ; break ;
<span class="linenr">25: </span>	    case 'D' : ymin = Y0 ; break ;
<span class="linenr">26: </span>	    case 'R' : xmin = X0 ; break ;
<span class="linenr">27: </span>	    case 'L' : xmax = X0 ; break ;
<span class="linenr">28: </span>	}
<span class="linenr">29: </span>	switch (bombDir[1]) {
<span class="linenr">30: </span>	    case 'R' : xmin = X0 ; break ;
<span class="linenr">31: </span>	    case 'L' : xmax = X0 ; break ;
<span class="linenr">32: </span>	}
<span class="linenr">33: </span>
<span class="linenr">34: </span>	Y0 = (ymax + ymin)/2 ; 
<span class="linenr">35: </span>	X0 = (xmin + xmax)/2 ; 
<span class="linenr">36: </span>
<span class="linenr">37: </span>	printf("%d %d\n", X0, Y0);
<span class="linenr">38: </span>    }
<span class="linenr">39: </span>}
</pre>
</div>

<p>
Le principe est similaire, à 2 points prêts :
</p>
<ul class="org-ul">
<li>L'utilisation de 2 switch pour les 2 caractères à la place d'une boucle et d'un switch.</li>
<li>Alain-Delpuch déplace tout le temps Batman, peut importe la direction qu'il doit suivre (ligne 34 - 35)</li>
</ul>


<p>
Voilà, Batman peut maintenant sauver la ville.
</p>

<p>
Thomas TAMAGNAUD. 05/05/2021
</p>
</div>
</div>
</div>
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<div id="postamble" class="status">
<p class="author">Author: Thomas Tamagnaud</p>
<p class="date">Created: 2021-05-05 mer. 19:11</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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