watering-plants

Watering Plants

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wateringPlants

You want to water <code>n</code> plants in your garden with a watering can. The plants are arranged in a row and are labeled from <code>0</code> to <code>n - 1</code> from left to right where the <code>ith</code> plant is located at <code>x = i</code>. There is a river at <code>x = -1</code> that you can refill your watering can at.

Each plant needs a specific amount of water. You will water the plants in the following way:

<ul>
	<li>Water the plants in order from left to right.</li>
	<li>After watering the current plant, if you do not have enough water to completely water the next plant, return to the river to fully refill the watering can.</li>
	<li>You cannot refill the watering can early.</li>
</ul>

You are initially at the river (i.e., <code>x = -1</code>). It takes one step to move one unit on the x-axis.

Given a 0-indexed integer array <code>plants</code> of <code>n</code> integers, where <code>plants[i]</code> is the amount of water the <code>ith</code> plant needs, and an integer <code>capacity</code> representing the watering can capacity, return the number of steps needed to water all the plants.

&nbsp;
Example 1:

<pre>
Input: plants = [2,2,3,3], capacity = 5
Output: 14
Explanation: Start at the river with a full watering can:
- Walk to plant 0 (1 step) and water it. Watering can has 3 units of water.
- Walk to plant 1 (1 step) and water it. Watering can has 1 unit of water.
- Since you cannot completely water plant 2, walk back to the river to refill (2 steps).
- Walk to plant 2 (3 steps) and water it. Watering can has 2 units of water.
- Since you cannot completely water plant 3, walk back to the river to refill (3 steps).
- Walk to plant 3 (4 steps) and water it.
Steps needed = 1 + 1 + 2 + 3 + 3 + 4 = 14.
</pre>

Example 2:

<pre>
Input: plants = [1,1,1,4,2,3], capacity = 4
Output: 30
Explanation: Start at the river with a full watering can:
- Water plants 0, 1, and 2 (3 steps). Return to river (3 steps).
- Water plant 3 (4 steps). Return to river (4 steps).
- Water plant 4 (5 steps). Return to river (5 steps).
- Water plant 5 (6 steps).
Steps needed = 3 + 3 + 4 + 4 + 5 + 5 + 6 = 30.
</pre>

Example 3:

<pre>
Input: plants = [7,7,7,7,7,7,7], capacity = 8
Output: 49
Explanation: You have to refill before watering each plant.
Steps needed = 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 = 49.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>n == plants.length</code></li>
	<li><code>1 &lt;= n &lt;= 1000</code></li>
	<li><code>1 &lt;= plants[i] &lt;= 106</code></li>
	<li><code>max(plants[i]) &lt;= capacity &lt;= 109</code></li>
</ul>

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