expression-add-operators

Algorithms

Expression Add Operators

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addOperators

Given a string <code>num</code> that contains only digits and an integer <code>target</code>, return all possibilities to insert the binary operators <code>&#39;+&#39;</code>, <code>&#39;-&#39;</code>, and/or <code>&#39;*&#39;</code> between the digits of <code>num</code> so that the resultant expression evaluates to the <code>target</code> value.

Note that operands in the returned expressions should not contain leading zeros.

&nbsp;
Example 1:

<pre>
Input: num = &quot;123&quot;, target = 6
Output: [&quot;1*2*3&quot;,&quot;1+2+3&quot;]
Explanation: Both &quot;1*2*3&quot; and &quot;1+2+3&quot; evaluate to 6.
</pre>

Example 2:

<pre>
Input: num = &quot;232&quot;, target = 8
Output: [&quot;2*3+2&quot;,&quot;2+3*2&quot;]
Explanation: Both &quot;2*3+2&quot; and &quot;2+3*2&quot; evaluate to 8.
</pre>

Example 3:

<pre>
Input: num = &quot;3456237490&quot;, target = 9191
Output: []
Explanation: There are no expressions that can be created from &quot;3456237490&quot; to evaluate to 9191.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= num.length &lt;= 10</code></li>
	<li><code>num</code> consists of only digits.</li>
	<li><code>-231 &lt;= target &lt;= 231 - 1</code></li>
</ul>

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