<p>Given two strings&nbsp;<code>s</code>&nbsp;and&nbsp;<code>t</code>, your goal is to convert&nbsp;<code>s</code>&nbsp;into&nbsp;<code>t</code>&nbsp;in&nbsp;<code>k</code><strong>&nbsp;</strong>moves or less.</p>

<p>During the&nbsp;<code>i<sup>th</sup></code>&nbsp;(<font face="monospace"><code>1 &lt;= i &lt;= k</code>)&nbsp;</font>move you can:</p>

<ul>
	<li>Choose any index&nbsp;<code>j</code>&nbsp;(1-indexed) from&nbsp;<code>s</code>, such that&nbsp;<code>1 &lt;= j &lt;= s.length</code>&nbsp;and <code>j</code>&nbsp;has not been chosen in any previous move,&nbsp;and shift the character at that index&nbsp;<code>i</code>&nbsp;times.</li>
	<li>Do nothing.</li>
</ul>

<p>Shifting a character means replacing it by the next letter in the alphabet&nbsp;(wrapping around so that&nbsp;<code>&#39;z&#39;</code>&nbsp;becomes&nbsp;<code>&#39;a&#39;</code>). Shifting a character by&nbsp;<code>i</code>&nbsp;means applying the shift operations&nbsp;<code>i</code>&nbsp;times.</p>

<p>Remember that any index&nbsp;<code>j</code>&nbsp;can be picked at most once.</p>

<p>Return&nbsp;<code>true</code>&nbsp;if it&#39;s possible to convert&nbsp;<code>s</code>&nbsp;into&nbsp;<code>t</code>&nbsp;in no more than&nbsp;<code>k</code>&nbsp;moves, otherwise return&nbsp;<code>false</code>.</p>

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

<pre>
<strong>Input:</strong> s = &quot;input&quot;, t = &quot;ouput&quot;, k = 9
<strong>Output:</strong> true
<b>Explanation: </b>In the 6th move, we shift &#39;i&#39; 6 times to get &#39;o&#39;. And in the 7th move we shift &#39;n&#39; to get &#39;u&#39;.
</pre>

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

<pre>
<strong>Input:</strong> s = &quot;abc&quot;, t = &quot;bcd&quot;, k = 10
<strong>Output:</strong> false
<strong>Explanation: </strong>We need to shift each character in s one time to convert it into t. We can shift &#39;a&#39; to &#39;b&#39; during the 1st move. However, there is no way to shift the other characters in the remaining moves to obtain t from s.
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;aab&quot;, t = &quot;bbb&quot;, k = 27
<strong>Output:</strong> true
<b>Explanation: </b>In the 1st move, we shift the first &#39;a&#39; 1 time to get &#39;b&#39;. In the 27th move, we shift the second &#39;a&#39; 27 times to get &#39;b&#39;.
</pre>

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

<ul>
	<li><code>1 &lt;= s.length, t.length &lt;= 10^5</code></li>
	<li><code>0 &lt;= k &lt;= 10^9</code></li>
	<li><code>s</code>, <code>t</code> contain&nbsp;only lowercase English letters.</li>
</ul>

class Solution:
    def canConvertString(self, s: str, t: str, k: int) -> bool:
        # If lengths are different, it's impossible to convert
        if len(s) != len(t):
            return False
        
        # Length of the strings
        n = len(s)
        
        # Dictionary to store the required shifts
        shifts_required = {}
        
        for i in range(n):
            # Calculate the shift required for each character
            shift = (ord(t[i]) - ord(s[i]) + 26) % 26
            
            # If shift is not zero, add it to the dictionary
            if shift != 0:
                if shift not in shifts_required:
                    shifts_required[shift] = 1
                else:
                    shifts_required[shift] += 1
        
        # Check if all shifts can be performed within k moves
        for shift, count in shifts_required.items():
            for i in range(count):
                if shift + i * 26 > k:
                    return False
        
        return True

# Example usage:
solution = Solution()
s = "input"
t = "ouput"
k = 9
print(solution.canConvertString(s, t, k))  # Output: True
18000