What is the time complexity of Max Difference You Can Get From Changing an Integer?

The optimal solution for Max Difference You Can Get From Changing an Integer runs in O(n) time and uses O(n) space. The time complexity is O(n) because we traverse the number a few times (finding max and min digits). The space complexity is O(n) due to the string manipulations.

What is the brute force solution for Max Difference You Can Get From Changing an Integer?

The brute force approach for Max Difference You Can Get From Changing an Integer is Brute Force, with O(n²) time complexity and O(1) space complexity. The brute-force approach involves trying every possible combination of digits to replace in the number. By systematically replacing each digit with every other digit, we can find the maximum and minimum values possible after the transformations. The optimal Optimal Solution approach improves this to O(n).

What algorithm or data structure is used to solve Max Difference You Can Get From Changing an Integer?

Max Difference You Can Get From Changing an Integer uses the following concepts: Math, Greedy. The recommended patterns to study are: Greedy, String Manipulation.

What are the interview tips for Max Difference You Can Get From Changing an Integer?

Think about edge cases, such as single-digit numbers or numbers with leading zeros. Explain your thought process clearly; it shows your understanding. Practice transforming numbers with different digit combinations to build intuition.

What are common mistakes when solving Max Difference You Can Get From Changing an Integer?

Not considering leading zeros when replacing digits. Failing to handle cases where the number consists of the same digit.

#1432

Max Difference You Can Get From Changing an Integer

Medium

MathGreedyGreedyString Manipulation

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Approaches

Brute ForceOptimal

Complexity Comparison

	Brute Force	Optimal Solution★
Time	O(n²)	O(n)
Space	O(1)	O(n)

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Intuition

Time O(n)Space O(n)

The optimal solution focuses on identifying the best and worst possible transformations in a single pass. By strategically choosing the digits to replace, we can efficiently compute the maximum and minimum values without redundant calculations.

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Algorithm

4 steps

1Step 1: Convert the integer num to a string to easily manipulate its digits.
2Step 2: Identify the maximum digit in the number and replace it with '9' to maximize the number.
3Step 3: Identify the minimum digit in the number (that is not '0') and replace it with '1' to minimize the number.
4Step 4: Calculate the difference between the maximum and minimum values obtained from the transformations.

solution.py5 lines

1def maxDifference(num):
2    num_str = str(num)
3    max_num = num_str.replace(max(num_str), '9')
4    min_num = num_str.replace(min(num_str.replace('0', '')), '1')
5    return int(max_num) - int(min_num)

ℹ

Complexity note: The time complexity is O(n) because we traverse the number a few times (finding max and min digits). The space complexity is O(n) due to the string manipulations.

1Identifying the maximum and minimum digits is crucial for maximizing and minimizing the number.
2Replacing digits strategically can lead to significant differences.

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