- Prepare
- Interview Preparation Kit
- Greedy Algorithms
- Greedy Florist

# Greedy Florist

# Greedy Florist

A group of friends want to buy a bouquet of flowers. The florist wants to maximize his number of *new* customers and the money he makes. To do this, he decides he'll multiply the price of each flower by the number of that customer's previously purchased flowers plus . The first flower will be original price, , the next will be and so on.

Given the size of the group of friends, the number of flowers they want to purchase and the original prices of the flowers, determine the minimum cost to purchase all of the flowers. The number of flowers they want equals the length of the array.

**Example**

The length of , so they want to buy flowers total. Each will buy one of the flowers priced at the original price. Having each purchased flower, the first flower in the list, , will now cost . The total cost is .

**Function Description**

Complete the *getMinimumCost* function in the editor below.

getMinimumCost has the following parameter(s):

*int c[n]:*the original price of each flower*int k:*the number of friends

**Returns**

- *int:* the minimum cost to purchase all flowers

**Input Format**

The first line contains two space-separated integers and , the number of flowers and the number of friends.

The second line contains space-separated positive integers , the original price of each flower.

**Constraints**

**Sample Input 0**

```
3 3
2 5 6
```

**Sample Output 0**

```
13
```

**Explanation 0**

There are flowers with costs and people in the group. If each person buys one flower, the total cost of prices paid is dollars. Thus, we print as our answer.

**Sample Input 1**

```
3 2
2 5 6
```

**Sample Output 1**

```
15
```

**Explanation 1**

There are flowers with costs and people in the group. We can minimize the total purchase cost like so:

- The first person purchases flowers in order of decreasing price; this means they buy the more expensive flower () first at price dollars and the less expensive flower () second at price dollars.
- The second person buys the most expensive flower at price dollars.

We then print the sum of these purchases, which is , as our answer.

**Sample Input 2**

```
5 3
1 3 5 7 9
```

**Sample Output 2**

```
29
```

**Explanation 2**

The friends buy flowers for , and , and for a cost of .