#585

Investments in 2016

Medium
DatabaseHash MapArray
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n)
Space
O(1)
O(n)
💡

Intuition

Time O(n)Space O(n)

The optimal solution uses hash maps to efficiently track the counts of tiv_2015 values and unique locations. This reduces the need for nested loops, allowing us to process the data in a single pass.

⚙️

Algorithm

5 steps
  1. 1Step 1: Create a hash map to count occurrences of each tiv_2015 value.
  2. 2Step 2: Create a set to track unique (lat, lon) pairs.
  3. 3Step 3: Iterate through the insurance records to populate the hash map and set.
  4. 4Step 4: Iterate through the records again to sum tiv_2016 values for those with matching tiv_2015 and unique locations.
  5. 5Step 5: Round the total sum to two decimal places and return it.
solution.py11 lines
1# Full working Python code
2import pandas as pd
3
4def investment_sum(insurances):
5    tiv_count = insurances['tiv_2015'].value_counts()
6    unique_locations = set((insurances['lat'][i], insurances['lon'][i]) for i in range(len(insurances)))
7    total = 0.0
8    for i in range(len(insurances)):
9        if tiv_count[insurances['tiv_2015'][i]] > 1 and (insurances['lat'][i], insurances['lon'][i]) in unique_locations:
10            total += insurances['tiv_2016'][i]
11    return round(total, 2)

Complexity note: The time complexity is O(n) because we are iterating through the records a constant number of times. The space complexity is O(n) due to the storage of counts and unique locations in hash maps and sets.

  • 1Using hash maps can significantly reduce time complexity.
  • 2Understanding unique constraints is crucial for filtering results.

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