# Minimum cost to connect sticks

December 11, 2022

heapProblem URL: Minimum cost to connect sticks

We will use a heap to store the sticks. We will keep on popping the two smallest sticks from the heap and we will add their sum to the result. We will push the sum of the two sticks to the heap. We will keep on doing this until there is only one stick left in the heap. At the end, we will return the result.

```
class Solution:
def connectSticks(self, sticks: List[int]) -> int:
heapq.heapify(sticks)
res = 0
while len(sticks) > 1:
a = heapq.heappop(sticks)
b = heapq.heappop(sticks)
res += (a+b)
heapq.heappush(sticks, a+b)
return res
```

Time complexity: `O(nlog(n))`

Space complexity: `O(n)`