(This question has been seen in the interviews of the following companies: Google)

#### Rose Garden

Given an array a of roses. For example [1, 2, 4, 9, 3, 4, 1]

a[i] means rose i will bloom on day a[i].

Here the first rose will bloom on day 1, the second rose will bloom on day 2, etc. etc.

Also given an int k, which is the minimum number of adjacent bloom roses required for a bouquet.

and an int n, which is the number of bouquets we need.

return the earliest day that we can get n bouquets of roses.

for example:

a = [1, 2, 4, 9, 3, 4, 1], k = 2, n = 2

day 1:

the first and the last rose bloom.

[b, n, n, n, n, n, b]

day 2:

the second rose bloom

[b, b, n, n, n, n, b]

Here the first two bloom roses make a bouquet.

day 3: [b, b, n, n, b, n, b]

day4: [b, b, n, n, b, b, b]

Here the last three bloom roses make a bouquet, meeting the required n = 2 bouquets of bloom roses.

So return day 4.

##### Solve the problem:

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