# HackerRank ‘Real Estate Broker’ Solution

##### Short Problem Definition:

You are a real estate broker in ancient Knossos. You have m unsold houses, and each house j has an area, xj, and a minimum price, yj. You also have n clients, and each client i wants a house with an area greater than ai and a price less than or equal to bi.

Each client can buy *at most* one house, and each house can have *at most* one owner. What is the maximum number of houses you can sell?

##### Link

##### Complexity:

time complexity is O(NlogN + MlogM + N*M)

space complexity is O(1)

##### Execution:

This challenge sounds pretty complex, but this greedy solution works perfectly. Sort houses by size, start selling the smallest houses first. Bigger houses can always be sold since there is a bigger pool of buyers for them. Sell each house to the buyer that has the smallest pool of money available.

Don’t overcomplicate the problem with graph algorithms 🙂

##### Solution:

```
#!/bin/python
from __future__ import print_function
import os
import sys
#
# Complete the realEstateBroker function below.
#
def realEstateBroker(clients, houses):
houses = sorted(houses)
clients = sorted(clients, key = lambda x: x[1])
sold = 0
for house in houses:
for client in clients:
if house[0] >= client[0] and house[1] <= client[1]:
sold += 1
clients.remove(client)
break
return sold
if __name__ == '__main__':
fptr = open(os.environ['OUTPUT_PATH'], 'w')
nm = raw_input().split()
n = int(nm[0])
m = int(nm[1])
clients = []
for _ in xrange(n):
clients.append(map(int, raw_input().rstrip().split()))
houses = []
for _ in xrange(m):
houses.append(map(int, raw_input().rstrip().split()))
result = realEstateBroker(clients, houses)
fptr.write(str(result) + '\n')
fptr.close()
```

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