Find the Substring With Maximum Cost — LeetCode 2606 Python Solution

MediumArrayHash TableStringDynamic Programming
Problem
#2606
Reading time
2 min

The problem

You are given a string s, a string chars of distinct characters and an integer array vals of the same length as chars. The cost of the substring is the sum of the values of each character in the substring.

Example

Input
s = "adaa", chars = "d", vals = [-1000]
Output
2
Explanation
The value of the characters "a" and "d" is 1 and -1000 respectively.

Python solution

Python
class Solution:
    def maximumCostSubstring(self, s: str, chars: str, vals: List[int]) -> int:
        d = {c: v for c, v in zip(chars, vals)}
        ans = tot = mi = 0
        for c in s:
            v = d.get(c, ord(c) - ord('a') + 1)
            tot += v
            ans = max(ans, tot - mi)
            mi = min(mi, tot)
        return ans

Complexity

MeasureComplexity
TimeO(n)
SpaceO(C) auxiliary

Pattern: Dynamic Programming

Define a state, write the transition, and stop recomputing the same subproblem. LeetCode 2606. Find the Substring With Maximum Cost is filed here because LeetCode tags it Dynamic Programming, which is the vocabulary this hub collects.

The dynamic programming guide has the Python template for the pattern and the 481 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2606. Find the Substring With Maximum Cost?
LeetCode 2606. Find the Substring With Maximum Cost is rated Medium on LeetCode.
What is the time complexity of LeetCode 2606. Find the Substring With Maximum Cost?
The Python solution on this page runs in O(n).
What is the space complexity of LeetCode 2606. Find the Substring With Maximum Cost?
The Python solution on this page uses O(C) auxiliary space.
What topics does LeetCode 2606. Find the Substring With Maximum Cost cover?
LeetCode 2606. Find the Substring With Maximum Cost is tagged Array, Hash Table, String and Dynamic Programming on LeetCode.

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