<p>In a string composed of <code>&#39;L&#39;</code>, <code>&#39;R&#39;</code>, and <code>&#39;X&#39;</code> characters, like <code>&quot;RXXLRXRXL&quot;</code>, a move consists of either replacing one occurrence of <code>&quot;XL&quot;</code> with <code>&quot;LX&quot;</code>, or replacing one occurrence of <code>&quot;RX&quot;</code> with <code>&quot;XR&quot;</code>. Given the starting string <code>start</code> and the ending string <code>end</code>, return <code>True</code> if and only if there exists a sequence of moves to transform <code>start</code> to <code>end</code>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> start = &quot;RXXLRXRXL&quot;, end = &quot;XRLXXRRLX&quot;
<strong>Output:</strong> true
<strong>Explanation:</strong> We can transform start to end following these steps:
RXXLRXRXL -&gt;
XRXLRXRXL -&gt;
XRLXRXRXL -&gt;
XRLXXRRXL -&gt;
XRLXXRRLX
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> start = &quot;X&quot;, end = &quot;L&quot;
<strong>Output:</strong> false
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= start.length&nbsp;&lt;= 10<sup>4</sup></code></li>
	<li><code>start.length == end.length</code></li>
	<li>Both <code>start</code> and <code>end</code> will only consist of characters in <code>&#39;L&#39;</code>, <code>&#39;R&#39;</code>, and&nbsp;<code>&#39;X&#39;</code>.</li>
</ul>

class Solution {
    string relativeOrder(string &s) {
        string order="";
        for(char &ch: s) {
            if(ch!='X') order+=string(1, ch);
        }
        return order;
    }
public:
    bool canTransform(string start, string target) {
        if(relativeOrder(start) != relativeOrder(target))
            return false;
        
        vector<int> left1, left2, right1, right2;
        for(int i=0; i<start.length(); i++) {
            if(start[i]=='L') left1.push_back(i);
            else if(start[i]=='R') right1.push_back(i);

            if(target[i]=='L') left2.push_back(i);
            else if(target[i]=='R') right2.push_back(i);
        }

        for(int i=0; i<left1.size(); i++) {
            if(left1[i] < left2[i])
                return false;
        }

        for(int i=0; i<right1.size(); i++) {
            if(right1[i] > right2[i])
                return false;
        }

        return true;
    }
};
10400