solve-the-equation

java

python

python3

mysql

mssql

oraclesql

csharp

javascript

typescript

bash

swift

kotlin

dart

golang

ruby

scala

rust

racket

erlang

elixir

pythondata

postgresql

cangjie

Algorithms

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.

If there is exactly one solution for the equation, we ensure that the value of <code>&#39;x&#39;</code> is an integer.

&nbsp;
Example 1:

<pre>
Input: equation = &quot;x+5-3+x=6+x-2&quot;
Output: &quot;x=2&quot;
</pre>

Example 2:

<pre>
Input: equation = &quot;x=x&quot;
Output: &quot;Infinite solutions&quot;
</pre>

Example 3:

<pre>
Input: equation = &quot;2x=x&quot;
Output: &quot;x=0&quot;
</pre>

&nbsp;
Constraints:

<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>
	<li>The input is generated that if there is a single solution, it will be an integer.</li>
</ul>

solveEquation

Solve the Equation

Fraction Addition and Subtraction

fraction-addition-and-subtraction

分数加减运算

Minimize Result by Adding Parentheses to Expression

minimize-result-by-adding-parentheses-to-expression

向表达式添加括号后的最小结果

Math

String

Simulation

求解一个给定的方程，将<code>x</code>以字符串 <code>"x=#value"</code>&nbsp;的形式返回。该方程仅包含 <code>'+'</code> ， <code>'-'</code> 操作，变量&nbsp;<code>x</code>&nbsp;和其对应系数。

如果方程没有解或存在的解不为整数，请返回&nbsp;<code>"No solution"</code>&nbsp;。如果方程有无限解，则返回 <code>“Infinite solutions”</code> 。

题目保证，如果方程中只有一个解，则 'x' 的值是一个整数。

&nbsp;

示例 1：

<pre>
输入: equation = "x+5-3+x=6+x-2"
输出: "x=2"
</pre>

示例 2:

<pre>
输入: equation = "x=x"
输出: "Infinite solutions"
</pre>

示例 3:

<pre>
输入: equation = "2x=x"
输出: "x=0"
</pre>

&nbsp;

提示:

<ul>
	<li><code>3 &lt;= equation.length &lt;= 1000</code></li>
	<li><code>equation</code>&nbsp;只有一个&nbsp;<code>'='</code>.&nbsp;</li>
	<li>方程由绝对值在&nbsp;<code>[0, 100]</code>&nbsp; 范围内且无任何前导零的整数和变量 <code>'x'</code>&nbsp;组成。​​​</li>
</ul>