# Task
John is an orchard worker. 

There are `n` piles of fruits waiting to be transported. Each pile of fruit has a corresponding weight. John's job is to combine the fruits into a pile and wait for the truck to take them away.

Every time, John can combine any two piles(`may be adjacent piles, or not`), and the energy he costs is equal to the weight of the two piles of fruit.

For example, if there are two piles, pile1's weight is `1` and pile2's weight is `2`. After merging, the new pile's weight is `3`, and he consumed 3 units of energy.

John wants to combine all the fruits into 1 pile with the least energy.

Your task is to help John, calculate the minimum energy he costs.

# Input

- `fruits`: An array of positive integers. Each element represents the weight of a pile of fruit.
  
  Javascript:
  - 1 <= fruits.length <= 10000
  - 1 <= fruits[i] <= 10000
  
  Python:
  - 1 <= len(fruits) <= 5000
  - 1 <= fruits[i] <= 10000

# Output

An integer. the minimum energy John costs.


# Examples

For `fruits = [1,2,9]`, the output should be `15`.

```
3 piles:  1  2  9
combine 1 and 2 to 3, cost 3 units of energy.
2 piles:  3  9
combine 3 and 9 to 12, cost 12 units of energy.
1 pile:  12

The total units of energy is 3 + 12 = 15 units
```

For `fruits = [100]`, the output should be `0`.

There's only 1 pile. So no need combine it.

Difficulty: EASY
Starter code: def comb(fruits):
	

Solutions:
from heapq import heappop, heappush

def comb(fruits):
	(total, heap) = (0, sorted(fruits))
	while len(heap) > 1:
		cost = heappop(heap) + heappop(heap)
		heappush(heap, cost)
		total += cost
	return total


import bisect
from collections import deque

def comb(fruits):
	energy = 0
	fruits = deque(sorted(fruits))
	while len(fruits) > 1:
		e = fruits.popleft() + fruits.popleft()
		energy += e
		bisect.insort_left(fruits, e)
	return energy


from heapq import heapify, heappop, heappush

def comb(fruits):
	ws = list(fruits)
	heapify(ws)
	res = 0
	while len(ws) > 1:
		w = heappop(ws) + heappop(ws)
		heappush(ws, w)
		res += w
	return res


from heapq import heappop, heappush

def comb(fruits):
	(total, fruits) = (0, sorted(fruits))
	for _ in range(len(fruits) - 1):
		energy = heappop(fruits) + heappop(fruits)
		heappush(fruits, energy)
		total += energy
	return total


from heapq import heapify, heappush, heappop

def comb(fruits):
	energy = 0
	heapify(fruits)
	while len(fruits) > 1:
		cost = heappop(fruits) + heappop(fruits)
		heappush(fruits, cost)
		energy += cost
	return energy


from bisect import insort

def comb(fruits):
	fruits = sorted(fruits)
	total_cost = 0
	while len(fruits) > 1:
		cost = sum(fruits[:2])
		total_cost += cost
		del fruits[:2]
		insort(fruits, cost)
	return total_cost


from heapq import heapify, heappop, heapreplace

def comb(fruits):
	fruits = fruits[:]
	heapify(fruits)
	total_cost = 0
	for i in range(len(fruits) - 1):
		cost = heappop(fruits)
		cost += fruits[0]
		total_cost += cost
		heapreplace(fruits, cost)
	return total_cost


from heapq import heapify, heappop, heappush

def comb(fruits):
	heapify(fruits)
	energy_total = 0
	while len(fruits) > 1:
		energy_used = heappop(fruits) + heappop(fruits)
		heappush(fruits, energy_used)
		energy_total += energy_used
	return energy_total


import heapq

def comb(fruits):
	heapq.heapify(fruits)
	w = 0
	while len(fruits) > 1:
		(x, y) = (heapq.heappop(fruits), heapq.heappop(fruits))
		w += x + y
		heapq.heappush(fruits, x + y)
	return w


def bin_insert(n, lst):
	start = 0
	end = len(lst) - 1
	while start < end:
		check = (start + end) // 2
		if lst[check] == n:
			return check
		if lst[check] < n:
			start = check + 1
		else:
			end = check - 1
	if len(lst) != 0 and lst[start] < n:
		return start + 1
	return start

def comb(fruits):
	fruits.sort()
	res = 0
	while len(fruits) > 1:
		wt = fruits.pop(0) + fruits.pop(0)
		res += wt
		fruits.insert(bin_insert(wt, fruits), wt)
	return res