Next Greater Element III — LeetCode 556 Python Solution

MediumMathTwo PointersString
Problem
#556
Reading time
3 min

The problem

Given a positive integer n, find the smallest integer which has exactly the same digits existing in the integer n and is greater in value than n. If no such positive integer exists, return -1.

Example

Input
n = 12
Output
21

Python solution

Python
class Solution:
    def nextGreaterElement(self, n: int) -> int:
        cs = list(str(n))
        n = len(cs)
        i, j = n - 2, n - 1
        while i >= 0 and cs[i] >= cs[i + 1]:
            i -= 1
        if i < 0:
            return -1
        while cs[i] >= cs[j]:
            j -= 1
        cs[i], cs[j] = cs[j], cs[i]
        cs[i + 1 :] = cs[i + 1 :][::-1]
        ans = int(''.join(cs))
        return -1 if ans > 2**31 - 1 else ans

Complexity

MeasureComplexity
TimeO(n) (after optional sort O(n log n))
SpaceO(1) auxiliary

Pattern: Two Pointers

Use the order already in the input to discard half the search space at every step. LeetCode 556. Next Greater Element III is filed here because LeetCode tags it Two Pointers, which is the vocabulary this hub collects.

The two pointers guide has the Python template for the pattern and the 201 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 556. Next Greater Element III?
LeetCode 556. Next Greater Element III is rated Medium on LeetCode.
What is the time complexity of LeetCode 556. Next Greater Element III?
The Python solution on this page runs in O(n) (after optional sort O(n log n)).
What is the space complexity of LeetCode 556. Next Greater Element III?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 556. Next Greater Element III cover?
LeetCode 556. Next Greater Element III is tagged Math, Two Pointers and String on LeetCode.

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