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Contest Duration:
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<a href='http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2100&p1=248' target='blank'><time class='fixtime fixtime-full'>2018-06-16 21:00:00+0900</time></a> - <a href='http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2240&p1=248' target='blank'><time class='fixtime fixtime-full'>2018-06-16 22:40:00+0900</time></a> (local time)
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(100 minutes)
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<span class="h2">
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D - Patisserie ABC
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<a class="btn btn-default btn-sm" href="/contests/abc100/tasks/abc100_d/editorial">Editorial</a>
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</span>
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<span id="task-lang-btn" class="pull-right"><span data-lang="ja"><img src='//img.atcoder.jp/assets/top/img/flag-lang/ja.png'></span> / <span data-lang="en"><img src='//img.atcoder.jp/assets/top/img/flag-lang/en.png'></span></span>
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$(function() {
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ts.children('span').show();
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return;
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}
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var LS_KEY = 'task_lang';
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if (params.get('lang')) {
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setLS(LS_KEY, REMEMBER_LB);
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taskLang = LANG;
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}
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} else {
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taskLang = LANG;
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}
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ts.children('span.lang-' + taskLang).show();
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$('#task-lang-btn span').click(function() {
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var l = $(this).data('lang');
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ts.children('span').hide();
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ts.children('span.lang-' + l).show();
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taskLang = getLS(LS_KEY) || '';
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let changeTimes = 0;
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if (isTaskLangSet(taskLang)) {
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changeTimes = REMEMBER_LB;
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} else {
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changeTimes = parseInt(taskLang, 10);
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if (isNaN(changeTimes)) changeTimes = 0;
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changeTimes++;
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}
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if (changeTimes < REMEMBER_LB) setLS(LS_KEY, changeTimes);
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else setLS(LS_KEY, l);
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});
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});
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</script>
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<hr/>
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<p>
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Time Limit: 2 sec / Memory Limit: 976 MiB
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</p>
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<div id="task-statement">
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<span class="lang">
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<span class="lang-ja">
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<p>配点: <var>400</var> 点</p>
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<div class="part">
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<section>
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<h3>問題文</h3>
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<p>高橋君はプロのパティシエになり, AtCoder Beginner Contest 100 を記念して, 「ABC洋菓子店」というお店を開いた. </p>
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<p>ABC洋菓子店では, <var>N</var> 種類のケーキを売っている.<br />
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各種類のケーキには「綺麗さ」「おいしさ」「人気度」の <var>3</var> つの値を持ち, <var>i</var> 種類目のケーキの綺麗さは <var>x_i</var>, おいしさは <var>y_i</var>, 人気度は <var>z_i</var> である.<br />
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これらの値は <var>0</var> 以下である可能性もある. </p>
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<p>りんごさんは, ABC洋菓子店で <var>M</var> 個のケーキを食べることにした. 彼は次のように, 食べるケーキの組み合わせを選ぶことにした. </p>
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<ul>
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<li>同じ種類のケーキを <var>2</var> 個以上食べない.</li>
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<li>上の条件を満たしつつ, (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) が最大になるように選ぶ.</li>
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</ul>
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<p>このとき, りんごさんが選ぶケーキの (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) の最大値を求めなさい. </p>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>制約</h3>
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<ul>
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<li><var>N</var> は <var>1</var> 以上 <var>1 \ 000</var> 以下の整数</li>
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<li><var>M</var> は <var>0</var> 以上 <var>N</var> 以下の整数</li>
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<li><var>x_i, y_i, z_i \ (1 \leq i \leq N)</var> は, それぞれ <var>-10 \ 000 \ 000 \ 000</var> 以上 <var>10 \ 000 \ 000 \ 000</var> 以下の整数.</li>
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</ul>
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</section>
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</div>
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<hr />
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<div class="io-style">
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<div class="part">
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<section>
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<h3>入力</h3>
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<p>入力は以下の形式で標準入力から与えられる. </p>
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<pre><var>N</var> <var>M</var>
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<var>x_1</var> <var>y_1</var> <var>z_1</var>
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<var>x_2</var> <var>y_2</var> <var>z_2</var>
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<var>:</var> <var>:</var>
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<var>x_N</var> <var>y_N</var> <var>z_N</var>
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</pre>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>出力</h3>
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<p>りんごさんが選ぶケーキの (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) の最大値を出力しなさい. </p>
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</section>
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</div>
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</div>
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<hr />
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<div class="part">
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<section>
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<h3>入力例 1</h3><pre>5 3
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3 1 4
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1 5 9
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2 6 5
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3 5 8
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9 7 9
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</pre>
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</section>
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</div>
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<div class="part">
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<section>
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<h3>出力例 1</h3><pre>56
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</pre>
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<p><var>2, 4, 5</var> 種類目のケーキを食べることを考える. そのとき, 「綺麗さ」「おいしさ」「人気度」の合計はそれぞれ次のようになる. </p>
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<ul>
|
|
<li>綺麗さ：<var>1 + 3 + 9 = 13</var></li>
|
|
<li>おいしさ：<var>5 + 5 + 7 = 17</var></li>
|
|
<li>人気度：<var>9 + 8 + 9 = 26</var></li>
|
|
</ul>
|
|
<p>このときの (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) は <var>13 + 17 + 26 = 56</var> となり, これが最大になる. </p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 2</h3><pre>5 3
|
|
1 -2 3
|
|
-4 5 -6
|
|
7 -8 -9
|
|
-10 11 -12
|
|
13 -14 15
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 2</h3><pre>54
|
|
</pre>
|
|
|
|
<p><var>1, 3, 5</var> 種類目のケーキを食べることを考える. そのとき, 「綺麗さ」「おいしさ」「人気度」の合計はそれぞれ次のようになる. </p>
|
|
<ul>
|
|
<li>綺麗さ：<var>1 + 7 + 13 = 21</var></li>
|
|
<li>おいしさ：<var>(-2) + (-8) + (-14) = -24</var></li>
|
|
<li>人気度：<var>3 + (-9) + 15 = 9</var></li>
|
|
</ul>
|
|
<p>このときの (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) は <var>21 + 24 + 9 = 54</var> となり, これが最大になる. </p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 3</h3><pre>10 5
|
|
10 -80 21
|
|
23 8 38
|
|
-94 28 11
|
|
-26 -2 18
|
|
-69 72 79
|
|
-26 -86 -54
|
|
-72 -50 59
|
|
21 65 -32
|
|
40 -94 87
|
|
-62 18 82
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 3</h3><pre>638
|
|
</pre>
|
|
|
|
<p><var>3, 4, 5, 7, 10</var> 種類目のケーキを食べると, 綺麗さの合計は <var>-323</var>, おいしさの合計は <var>66</var>, 人気度の合計は <var>249</var> となる.<br />
|
|
このときの (綺麗さの合計の絶対値) + (おいしさの合計の絶対値) + (人気度の合計の絶対値) は <var>323 + 66 + 249 = 638</var> となり, これが最大になる. </p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 4</h3><pre>3 2
|
|
2000000000 -9000000000 4000000000
|
|
7000000000 -5000000000 3000000000
|
|
6000000000 -1000000000 8000000000
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 4</h3><pre>30000000000
|
|
</pre>
|
|
|
|
<p>ケーキの綺麗さ, おいしさ, 人気度や出力すべき値が, 32bit 整数に収まらない場合もある. </p></section>
|
|
</div>
|
|
</span>
|
|
<span class="lang-en">
|
|
<p>Score: <var>400</var> points</p>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Problem Statement</h3>
|
|
<p>Takahashi became a pastry chef and opened a shop <em>La Confiserie d'ABC</em> to celebrate AtCoder Beginner Contest 100.</p>
|
|
<p>The shop sells <var>N</var> kinds of cakes.<br />
|
|
Each kind of cake has three parameters "beauty", "tastiness" and "popularity". The <var>i</var>-th kind of cake has the beauty of <var>x_i</var>, the tastiness of <var>y_i</var> and the popularity of <var>z_i</var>.<br />
|
|
These values may be zero or negative.</p>
|
|
<p>Ringo has decided to have <var>M</var> pieces of cakes here. He will choose the set of cakes as follows:</p>
|
|
<ul>
|
|
<li>Do not have two or more pieces of the same kind of cake.</li>
|
|
<li>Under the condition above, choose the set of cakes to maximize (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity).</li>
|
|
</ul>
|
|
<p>Find the maximum possible value of (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) for the set of cakes that Ringo chooses.</p>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Constraints</h3>
|
|
<ul>
|
|
<li><var>N</var> is an integer between <var>1</var> and <var>1 \ 000</var> (inclusive).</li>
|
|
<li><var>M</var> is an integer between <var>0</var> and <var>N</var> (inclusive).</li>
|
|
<li><var>x_i, y_i, z_i \ (1 \leq i \leq N)</var> are integers between <var>-10 \ 000 \ 000 \ 000</var> and <var>10 \ 000 \ 000 \ 000</var> (inclusive).</li>
|
|
</ul>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="io-style">
|
|
<div class="part">
|
|
<section>
|
|
<h3>Input</h3>
|
|
<p>Input is given from Standard Input in the following format:</p>
|
|
<pre><var>N</var> <var>M</var>
|
|
<var>x_1</var> <var>y_1</var> <var>z_1</var>
|
|
<var>x_2</var> <var>y_2</var> <var>z_2</var>
|
|
<var>:</var> <var>:</var>
|
|
<var>x_N</var> <var>y_N</var> <var>z_N</var>
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Output</h3>
|
|
<p>Print the maximum possible value of (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) for the set of cakes that Ringo chooses.</p>
|
|
</section>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 1</h3><pre>5 3
|
|
3 1 4
|
|
1 5 9
|
|
2 6 5
|
|
3 5 8
|
|
9 7 9
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 1</h3><pre>56
|
|
</pre>
|
|
|
|
<p>Consider having the <var>2</var>-nd, <var>4</var>-th and <var>5</var>-th kinds of cakes. The total beauty, tastiness and popularity will be as follows:</p>
|
|
<ul>
|
|
<li>Beauty: <var>1 + 3 + 9 = 13</var></li>
|
|
<li>Tastiness: <var>5 + 5 + 7 = 17</var></li>
|
|
<li>Popularity: <var>9 + 8 + 9 = 26</var></li>
|
|
</ul>
|
|
<p>The value (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) here is <var>13 + 17 + 26 = 56</var>. This is the maximum value.</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 2</h3><pre>5 3
|
|
1 -2 3
|
|
-4 5 -6
|
|
7 -8 -9
|
|
-10 11 -12
|
|
13 -14 15
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 2</h3><pre>54
|
|
</pre>
|
|
|
|
<p>Consider having the <var>1</var>-st, <var>3</var>-rd and <var>5</var>-th kinds of cakes. The total beauty, tastiness and popularity will be as follows:</p>
|
|
<ul>
|
|
<li>Beauty: <var>1 + 7 + 13 = 21</var></li>
|
|
<li>Tastiness: <var>(-2) + (-8) + (-14) = -24</var></li>
|
|
<li>Popularity: <var>3 + (-9) + 15 = 9</var></li>
|
|
</ul>
|
|
<p>The value (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) here is <var>21 + 24 + 9 = 54</var>. This is the maximum value.</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 3</h3><pre>10 5
|
|
10 -80 21
|
|
23 8 38
|
|
-94 28 11
|
|
-26 -2 18
|
|
-69 72 79
|
|
-26 -86 -54
|
|
-72 -50 59
|
|
21 65 -32
|
|
40 -94 87
|
|
-62 18 82
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 3</h3><pre>638
|
|
</pre>
|
|
|
|
<p>If we have the <var>3</var>-rd, <var>4</var>-th, <var>5</var>-th, <var>7</var>-th and <var>10</var>-th kinds of cakes, the total beauty, tastiness and popularity will be <var>-323</var>, <var>66</var> and <var>249</var>, respectively.<br />
|
|
The value (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) here is <var>323 + 66 + 249 = 638</var>. This is the maximum value.</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 4</h3><pre>3 2
|
|
2000000000 -9000000000 4000000000
|
|
7000000000 -5000000000 3000000000
|
|
6000000000 -1000000000 8000000000
|
|
</pre>
|
|
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 4</h3><pre>30000000000
|
|
</pre>
|
|
|
|
<p>The values of the beauty, tastiness and popularity of the cakes and the value to be printed may not fit into 32-bit integers.</p></section>
|
|
</div>
|
|
</span>
|
|
</span>
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
</div>
|
|
</div>
|
|
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|
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|
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<hr>
|
|
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|
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