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leetcode-problemset/leetcode/problem/solve-the-equation.html
2022-03-29 12:55:24 +08:00

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<p>Solve a given equation and return the value of <code>&#39;x&#39;</code> in the form of a string <code>&quot;x=#value&quot;</code>. The equation contains only <code>&#39;+&#39;</code>, <code>&#39;-&#39;</code> operation, the variable <code>&#39;x&#39;</code> and its coefficient. You should return <code>&quot;No solution&quot;</code> if there is no solution for the equation, or <code>&quot;Infinite solutions&quot;</code> if there are infinite solutions for the equation.</p>
<p>If there is exactly one solution for the equation, we ensure that the value of <code>&#39;x&#39;</code> is an integer.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> equation = &quot;x+5-3+x=6+x-2&quot;
<strong>Output:</strong> &quot;x=2&quot;
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> equation = &quot;x=x&quot;
<strong>Output:</strong> &quot;Infinite solutions&quot;
</pre>
<p><strong>Example 3:</strong></p>
<pre>
<strong>Input:</strong> equation = &quot;2x=x&quot;
<strong>Output:</strong> &quot;x=0&quot;
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>3 &lt;= equation.length &lt;= 1000</code></li>
<li><code>equation</code> has exactly one <code>&#39;=&#39;</code>.</li>
<li><code>equation</code> consists of integers with an absolute value in the range <code>[0, 100]</code> without any leading zeros, and the variable <code>&#39;x&#39;</code>.</li>
</ul>