avoid-flood-in-the-city

Avoid Flood in The City

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avoidFlood

Your country has an infinite number of lakes. Initially, all the lakes are empty, but when it rains over the <code>nth</code> lake, the <code>nth</code> lake becomes full of water. If it rains over a lake that is full of water, there will be a flood. Your goal is to avoid floods in any lake.

Given an integer array <code>rains</code> where:

<ul>
	<li><code>rains[i] &gt; 0</code> means there will be rains over the <code>rains[i]</code> lake.</li>
	<li><code>rains[i] == 0</code> means there are no rains this day and you can choose one lake this day and dry it.</li>
</ul>

Return an array <code>ans</code> where:

<ul>
	<li><code>ans.length == rains.length</code></li>
	<li><code>ans[i] == -1</code> if <code>rains[i] &gt; 0</code>.</li>
	<li><code>ans[i]</code> is the lake you choose to dry in the <code>ith</code> day if <code>rains[i] == 0</code>.</li>
</ul>

If there are multiple valid answers return any of them. If it is impossible to avoid flood return an empty array.

Notice that if you chose to dry a full lake, it becomes empty, but if you chose to dry an empty lake, nothing changes.

&nbsp;
Example 1:

<pre>
Input: rains = [1,2,3,4]
Output: [-1,-1,-1,-1]
Explanation: After the first day full lakes are [1]
After the second day full lakes are [1,2]
After the third day full lakes are [1,2,3]
After the fourth day full lakes are [1,2,3,4]
There&#39;s no day to dry any lake and there is no flood in any lake.
</pre>

Example 2:

<pre>
Input: rains = [1,2,0,0,2,1]
Output: [-1,-1,2,1,-1,-1]
Explanation: After the first day full lakes are [1]
After the second day full lakes are [1,2]
After the third day, we dry lake 2. Full lakes are [1]
After the fourth day, we dry lake 1. There is no full lakes.
After the fifth day, full lakes are [2].
After the sixth day, full lakes are [1,2].
It is easy that this scenario is flood-free. [-1,-1,1,2,-1,-1] is another acceptable scenario.
</pre>

Example 3:

<pre>
Input: rains = [1,2,0,1,2]
Output: []
Explanation: After the second day, full lakes are [1,2]. We have to dry one lake in the third day.
After that, it will rain over lakes [1,2]. It&#39;s easy to prove that no matter which lake you choose to dry in the 3rd day, the other one will flood.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= rains.length &lt;= 105</code></li>
	<li><code>0 &lt;= rains[i] &lt;= 109</code></li>
</ul>

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