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信息聚合任务：第<var id = "task_number"> </var>轮
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{{block content}}

<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML"> </script>

<h4>一、信息</h4>
    <p id="info_structureLeft">以<var id = "p"></var>的概率选中左边箱子，</p>
    <p id="info_structureRight">以<var id="pR"></var>的概率选中右边箱子。</p>
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    <div id = "figure_container">
        <figure id="figureLeft">
            <canvas id="myCanvasLeft"></canvas>
            <figcaption id="captionLeft"></figcaption>
        </figure>

        <figure id="figureRight">
            <canvas id="myCanvasRight"></canvas>
            <figcaption id="captionRight"></figcaption>
        </figure>
    </div>
    
    <p>本轮任务共有<var id = "round"></var>个阶段。</p>
    <p>当前是阶段<var id = "game_iteration"></var>，您是成员<var id = "player_id"> </var>。 </p>

    <h5>(1)您收到的信号：</h5>
    <p>在本轮任务中，计算机为您从选中的箱子中随机抽取一个球。</p>
    <div style = "display: flex;">
        <p>这个球是<em id = "signal_name"></em>。</p>
        <figure>
        <canvas id = "signal"> </canvas>
        </figure>
    </div>

    <h5>(2)历史预测信息：</h5>
    <table id="ReportTable">
        <thead></thead>
        <tbody></tbody>
    </table>
    <p></p>

<h4>二、行动</h4>
    <p id = "hint">请您根据<mark>(1)您收到的信号</mark>和<mark>(2)历史预测信息</mark>预测：</p>
    <p><strong>一阶预测：</strong>球来自左边箱子的概率。</p>
    <div>
        <input type="number" id = "report_x" placeholder="请输入0到1之间的值，最多保留两位小数" style="width: 300px;"> </input>
    </div>
    <p></p>
    <p><strong>二阶预测：</strong>其他小组成员预测的一阶预测的平均值</b>。</p>
    <div style = "display: flex;">
        <input type="number" id = "report_y" placeholder="请输入0到1之间的值，最多保留两位小数" style="width: 300px;"> </input>
        <button type = "button" onclick = "sendInput()" id = "button"> 提交</button>
    </div>
    <p></p>
    <script>
        function isTwoDigitDecimal(str) {
            const digits = str.split('.');
            if (digits.length == 1) return true;
            if (digits.length > 2 || digits[1].length > 2) return false;
            return true;
        }
        function sendInput() {
            var input_x = document.getElementById("report_x").value;
            var input_y = document.getElementById("report_y").value;

            if (isTwoDigitDecimal(input_x) == false || isTwoDigitDecimal(input_y) == false) {
                window.alert("您的预测最多保留两位小数。");
                return;
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            liveSend({'x': parseFloat(input_x), 'y': parseFloat(input_y)});
        }
    </script>

<h4>三、分数计算</h4>
<p>
    <p>您在本轮任务中的分数由各阶段的分数加总得到。</p>
    <p>您在阶段\(i\)中的分数由阶段\(i\)的一阶预测得分和二阶预测得分加权构成。</p>
    <p>其中，一阶预测得分由计算机实际选中的箱子和您在阶段\(i\)预测的一阶预测\(x_i\)决定。您在阶段\(i\)的一阶预测得分为:</p>
        \[
            \left\{
            \begin{aligned}
            &1-(1 - x_i)^2, &\text{如果计算机在本轮任务开始时选中了左边箱子,}\\
            &1-x_i^2, &\text{如果计算机在本轮任务开始时选中了右边箱子.}
            \end{aligned}
            \right.
        \]
    <p>二阶预测得分由<b>其他小组成员</b>在阶段\(i\)预测的一阶预测的<b>平均值</b>\({\bar{x}}_i\)和您在阶段\(i\)预测的二阶预测\(y_i\)决定。您在阶段\(i\)的二阶预测得分为:</p>
        \[1 - (y_i - {\bar{x}}_i)^2.\]
    <p>您在阶段\(i\)中的分数为:</p>
        \[\alpha \times \text{一阶预测得分} + \beta \times \text{二阶预测得分},\]
    其中\(\alpha=\)<var id="paraAlpha"></var>, \(\beta = \)<var id="paraBeta"></var>。
</p>

  
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                tableBody.appendChild(row); // Append the row to the table body
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            table_filling();
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        function input_box_display(game_iteration) {
            document.getElementById("game_iteration").textContent = game_iteration;

            document.getElementById('report_x').style.display = "inline";
            document.getElementById('report_y').style.display = "inline";
            document.getElementById('button').style.display = "inline";
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            var signal_2Dcanvas = document.getElementById("signal").getContext("2d");
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            document.getElementById("player_id").textContent = js_vars.my_id;
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            input_box_display(js_vars.game_iteration);
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            document.getElementById("paraAlpha").textContent = js_vars.paraAlpha;
            document.getElementById("paraBeta").textContent = js_vars.paraBeta;
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        function liveRecv(data) {
            if (data.game_iteration > js_vars.round) 
                document.getElementById('form').submit();

            if (data.news != null) {
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        gap: 5%;
        position: absolute;
        top: 25%;
        left: 50%;
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    #figure_container figure{
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    figcaption {
      font-size: 8px;
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    canvas {
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        border: 0px;
        top: 15%;
        left: 40%;
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</style>

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