<p>Given a string <code>s</code> consisting of lowercase English letters. Perform the following operation:</p>

<ul>
	<li>Select any non-empty <span data-keyword="substring-nonempty">substring</span> then replace every letter of the substring with the preceding letter of the English alphabet. For example, &#39;b&#39; is converted to &#39;a&#39;, and &#39;a&#39; is converted to &#39;z&#39;.</li>
</ul>

<p>Return the <span data-keyword="lexicographically-smaller-string"><strong>lexicographically smallest</strong></span> string <strong>after performing the operation</strong>.</p>

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

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">s = &quot;cbabc&quot;</span></p>

<p><strong>Output:</strong> <span class="example-io">&quot;baabc&quot;</span></p>

<p><strong>Explanation:</strong></p>

<p>Perform the operation on the substring starting at index 0, and ending at index 1 inclusive.</p>
</div>

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

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">s = &quot;aa&quot;</span></p>

<p><strong>Output:</strong> <span class="example-io">&quot;az&quot;</span></p>

<p><strong>Explanation:</strong></p>

<p>Perform the operation on the last letter.</p>
</div>

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

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">s = &quot;acbbc&quot;</span></p>

<p><strong>Output:</strong> <span class="example-io">&quot;abaab&quot;</span></p>

<p><strong>Explanation:</strong></p>

<p>Perform the operation on the substring starting at index 1, and ending at index 4 inclusive.</p>
</div>

<p><strong class="example">Example 4:</strong></p>

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">s = &quot;leetcode&quot;</span></p>

<p><strong>Output:</strong> <span class="example-io">&quot;kddsbncd&quot;</span></p>

<p><strong>Explanation:</strong></p>

<p>Perform the operation on the entire string.</p>
</div>

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

<ul>
	<li><code>1 &lt;= s.length &lt;= 3 * 10<sup>5</sup></code></li>
	<li><code>s</code> consists of lowercase English letters</li>
</ul>

"""
***a***
-> precede *** + a***

a*a*
-> a + precede * + a*
"""


class Solution:
    def smallestString(self, s: str) -> str:
        def precede(ch):
            return chr(ord(ch) - 1)

        N = len(s)

        splits = s.split("a")

        first_nonEmpty_splitIdx = N
        for i, split in enumerate(splits):
            if split:
                first_nonEmpty_splitIdx = i
                break

        if first_nonEmpty_splitIdx == N:
            return s[:-1] + "z"

        splits[first_nonEmpty_splitIdx] = "".join(map(precede, splits[first_nonEmpty_splitIdx]))

        return "a".join(splits)

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