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| 1 | +<p>A parentheses string is a <strong>non-empty</strong> string consisting only of <code>'('</code> and <code>')'</code>. It is valid if <strong>any</strong> of the following conditions is <strong>true</strong>:</p> |
| 2 | + |
| 3 | +<ul> |
| 4 | + <li>It is <code>()</code>.</li> |
| 5 | + <li>It can be written as <code>AB</code> (<code>A</code> concatenated with <code>B</code>), where <code>A</code> and <code>B</code> are valid parentheses strings.</li> |
| 6 | + <li>It can be written as <code>(A)</code>, where <code>A</code> is a valid parentheses string.</li> |
| 7 | +</ul> |
| 8 | + |
| 9 | +<p>You are given a parentheses string <code>s</code> and a string <code>locked</code>, both of length <code>n</code>. <code>locked</code> is a binary string consisting only of <code>'0'</code>s and <code>'1'</code>s. For <strong>each</strong> index <code>i</code> of <code>locked</code>,</p> |
| 10 | + |
| 11 | +<ul> |
| 12 | + <li>If <code>locked[i]</code> is <code>'1'</code>, you <strong>cannot</strong> change <code>s[i]</code>.</li> |
| 13 | + <li>But if <code>locked[i]</code> is <code>'0'</code>, you <strong>can</strong> change <code>s[i]</code> to either <code>'('</code> or <code>')'</code>.</li> |
| 14 | +</ul> |
| 15 | + |
| 16 | +<p>Return <code>true</code> <em>if you can make <code>s</code> a valid parentheses string</em>. Otherwise, return <code>false</code>.</p> |
| 17 | + |
| 18 | +<p> </p> |
| 19 | +<p><strong class="example">Example 1:</strong></p> |
| 20 | +<img alt="" src="https://assets.leetcode.com/uploads/2021/11/06/eg1.png" style="width: 311px; height: 101px;" /> |
| 21 | +<pre> |
| 22 | +<strong>Input:</strong> s = "))()))", locked = "010100" |
| 23 | +<strong>Output:</strong> true |
| 24 | +<strong>Explanation:</strong> locked[1] == '1' and locked[3] == '1', so we cannot change s[1] or s[3]. |
| 25 | +We change s[0] and s[4] to '(' while leaving s[2] and s[5] unchanged to make s valid.</pre> |
| 26 | + |
| 27 | +<p><strong class="example">Example 2:</strong></p> |
| 28 | + |
| 29 | +<pre> |
| 30 | +<strong>Input:</strong> s = "()()", locked = "0000" |
| 31 | +<strong>Output:</strong> true |
| 32 | +<strong>Explanation:</strong> We do not need to make any changes because s is already valid. |
| 33 | +</pre> |
| 34 | + |
| 35 | +<p><strong class="example">Example 3:</strong></p> |
| 36 | + |
| 37 | +<pre> |
| 38 | +<strong>Input:</strong> s = ")", locked = "0" |
| 39 | +<strong>Output:</strong> false |
| 40 | +<strong>Explanation:</strong> locked permits us to change s[0]. |
| 41 | +Changing s[0] to either '(' or ')' will not make s valid. |
| 42 | +</pre> |
| 43 | + |
| 44 | +<p> </p> |
| 45 | +<p><strong>Constraints:</strong></p> |
| 46 | + |
| 47 | +<ul> |
| 48 | + <li><code>n == s.length == locked.length</code></li> |
| 49 | + <li><code>1 <= n <= 10<sup>5</sup></code></li> |
| 50 | + <li><code>s[i]</code> is either <code>'('</code> or <code>')'</code>.</li> |
| 51 | + <li><code>locked[i]</code> is either <code>'0'</code> or <code>'1'</code>.</li> |
| 52 | +</ul> |
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