#3784

Minimum Deletion Cost to Make All Characters Equal

Medium
ArrayHash TableStringEnumerationHash MapArray
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Approaches

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

Intuition

Time O(n)Space O(1)

Group characters and keep the one with the highest deletion cost. The rest will be deleted to minimize total cost.

⚙️

Algorithm

3 steps
  1. 1Step 1: Initialize variables to track the current character and total deletion cost.
  2. 2Step 2: Iterate through the string, summing costs of characters that are not the current character.
  3. 3Step 3: Update the minimum cost by comparing with the total cost for each character.
solution.py10 lines
1def minCost(s, cost):
2    total_cost = 0
3    max_cost = 0
4    current_char = s[0]
5    for i in range(len(s)):
6        if s[i] == current_char:
7            max_cost = max(max_cost, cost[i])
8        else:
9            total_cost += cost[i]
10    return total_cost + (sum(cost) - max_cost)

Complexity note: Single pass through the string results in linear complexity.

  • 1Keep the character with the highest deletion cost.
  • 2Sum costs of characters to be deleted.

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