@@ -82195,7 +82195,7 @@ <h3 id="solution-1-dynamic-programming-grouped-knapsack">Solution 1: Dynamic Pro
8219582195<p>Since $f[i][j]$ is only related to $f[i - 1][j]$, we can use a rolling array to optimize the space complexity.</p>
8219682196<p>Finally, we traverse the $f$ array to find the smallest absolute difference.</p>
8219782197<p>The time complexity is $O(m^2 \times n \times C)$ and the space complexity is $O(m \times C)$. Here, $m$ and $n$ are the number of rows and columns of the matrix, respectively, and $C$ is the maximum value of the matrix elements.</p>
82198- <div class="tabbed-set tabbed-alternate" data-tabs="1:5 "><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" />< div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">Java</label><label for="__tabbed_1_4"> C++</label><label for="__tabbed_1_5 ">Go</label></div>
82198+ <div class="tabbed-set tabbed-alternate" data-tabs="1:4 "><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">C++</label><label for="__tabbed_1_4 ">Go</label></div>
8219982199<div class="tabbed-content">
8220082200<div class="tabbed-block">
8220182201<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal">1</span>
@@ -82231,58 +82231,6 @@ <h3 id="solution-1-dynamic-programming-grouped-knapsack">Solution 1: Dynamic Pro
8223182231<span class="normal">17</span>
8223282232<span class="normal">18</span>
8223382233<span class="normal">19</span>
82234- <span class="normal">20</span>
82235- <span class="normal">21</span>
82236- <span class="normal">22</span>
82237- <span class="normal">23</span>
82238- <span class="normal">24</span>
82239- <span class="normal">25</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">class</span> <span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
82240- <span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">minimizeTheDifference</span><span class="p">(</span><span class="kt">int</span><span class="o">[][]</span><span class="w"> </span><span class="n">mat</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">target</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82241- <span class="w"> </span><span class="kt">boolean</span><span class="o">[]</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">{</span><span class="kc">true</span><span class="p">};</span>
82242- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">var</span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">mat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82243- <span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">mx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
82244- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">row</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82245- <span class="w"> </span><span class="n">mx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="na">max</span><span class="p">(</span><span class="n">mx</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">);</span>
82246- <span class="w"> </span><span class="p">}</span>
82247- <span class="w"> </span><span class="kt">boolean</span><span class="o">[]</span><span class="w"> </span><span class="n">g</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">boolean</span><span class="o">[</span><span class="n">f</span><span class="p">.</span><span class="na">length</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">mx</span><span class="o">]</span><span class="p">;</span>
82248- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">row</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82249- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">f</span><span class="p">.</span><span class="na">length</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">x</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82250- <span class="w"> </span><span class="n">g</span><span class="o">[</span><span class="n">j</span><span class="o">]</span><span class="w"> </span><span class="o">|=</span><span class="w"> </span><span class="n">f</span><span class="o">[</span><span class="n">j</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">x</span><span class="o">]</span><span class="p">;</span>
82251- <span class="w"> </span><span class="p">}</span>
82252- <span class="w"> </span><span class="p">}</span>
82253- <span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">g</span><span class="p">;</span>
82254- <span class="w"> </span><span class="p">}</span>
82255- <span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="mi">30</span><span class="p">;</span>
82256- <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">f</span><span class="p">.</span><span class="na">length</span><span class="p">;</span><span class="w"> </span><span class="o">++</span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82257- <span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">f</span><span class="o">[</span><span class="n">j</span><span class="o">]</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
82258- <span class="w"> </span><span class="n">ans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="na">min</span><span class="p">(</span><span class="n">ans</span><span class="p">,</span><span class="w"> </span><span class="n">Math</span><span class="p">.</span><span class="na">abs</span><span class="p">(</span><span class="n">j</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">target</span><span class="p">));</span>
82259- <span class="w"> </span><span class="p">}</span>
82260- <span class="w"> </span><span class="p">}</span>
82261- <span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">ans</span><span class="p">;</span>
82262- <span class="w"> </span><span class="p">}</span>
82263- <span class="p">}</span>
82264- </code></pre></div></td></tr></table></div>
82265- </div>
82266- <div class="tabbed-block">
82267- <div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span>
82268- <span class="normal"> 2</span>
82269- <span class="normal"> 3</span>
82270- <span class="normal"> 4</span>
82271- <span class="normal"> 5</span>
82272- <span class="normal"> 6</span>
82273- <span class="normal"> 7</span>
82274- <span class="normal"> 8</span>
82275- <span class="normal"> 9</span>
82276- <span class="normal">10</span>
82277- <span class="normal">11</span>
82278- <span class="normal">12</span>
82279- <span class="normal">13</span>
82280- <span class="normal">14</span>
82281- <span class="normal">15</span>
82282- <span class="normal">16</span>
82283- <span class="normal">17</span>
82284- <span class="normal">18</span>
82285- <span class="normal">19</span>
8228682234<span class="normal">20</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">class</span> <span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
8228782235<span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">minimizeTheDifference</span><span class="p">(</span><span class="kt">int</span><span class="o">[][]</span><span class="w"> </span><span class="n">mat</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">target</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
8228882236<span class="w"> </span><span class="n">Set</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">HashSet</span><span class="o"><></span><span class="p">();</span>
0 commit comments