MediumNo. 1058LeetCode Premium

Minimize Rounding Error to Meet Target — LeetCode 1058 Python Solution

Pattern
Greedy
Topics
Greedy, Array, Math, String, Sorting
Reading time
3 min

The problem

Given an array of prices [p1,p2...,pn] and a target, round each price pi to Roundi(pi) so that the rounded array [Round1(p1),Round2(p2)...,Roundn(pn)] sums to the given target. Each operation Roundi(pi) could be either Floor(pi) or Ceil(pi).

Example

Input
prices = ["0.700","2.800","4.900"], target = 8
Output
"1.000"
Explanation
Use Floor, Ceil and Ceil operations to get (0.7 - 0) + (3 - 2.8) + (5 - 4.9) = 0.7 + 0.2 + 0.1 = 1.0 .

Python solution

PythonSolution
class Solution:
    def minimizeError(self, prices: List[str], target: int) -> str:
        mi = 0
        arr = []
        for p in prices:
            p = float(p)
            mi += int(p)
            if d := p - int(p):
                arr.append(d)
        if not mi <= target <= mi + len(arr):
            return "-1"
        d = target - mi
        arr.sort(reverse=True)
        ans = d - sum(arr[:d]) + sum(arr[d:])
        return f'{ans:.3f}'

Complexity

Time
O(n log n)
Space · auxiliary
O(1) to O(n)

Pattern: Greedy

Take the locally best option every time — when you can prove that never costs you later. LeetCode 1058. Minimize Rounding Error to Meet Target is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Greedy.

The greedy guide has the Python template for the pattern and the 346 LeetCode problems that use it.

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Frequently asked questions

How hard is LeetCode 1058. Minimize Rounding Error to Meet Target?

LeetCode 1058. Minimize Rounding Error to Meet Target is rated Medium on LeetCode.

What topics does LeetCode 1058. Minimize Rounding Error to Meet Target cover?

LeetCode 1058. Minimize Rounding Error to Meet Target is tagged Greedy, Array, Math, String and Sorting on LeetCode.

Is LeetCode 1058. Minimize Rounding Error to Meet Target a premium problem?

Yes. LeetCode 1058. Minimize Rounding Error to Meet Target is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.

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