MediumNo. 0816

Ambiguous Coordinates — LeetCode 816 Python Solution

Topics
String, Backtracking, Enumeration
Reading time
3 min

The problem

We had some 2-dimensional coordinates, like "(1, 3)" or "(2, 0.5)". Then, we removed all commas, decimal points, and spaces and ended up with the string s.

Example

Input
s = "(123)"
Output
["(1, 2.3)","(1, 23)","(1.2, 3)","(12, 3)"]

Python solution

PythonSolution
class Solution:
    def ambiguousCoordinates(self, s: str) -> List[str]:
        def f(i, j):
            res = []
            for k in range(1, j - i + 1):
                l, r = s[i : i + k], s[i + k : j]
                ok = (l == '0' or not l.startswith('0')) and not r.endswith('0')
                if ok:
                    res.append(l + ('.' if k < j - i else '') + r)
            return res

        n = len(s)
        return [
            f'({x}, {y})' for i in range(2, n - 1) for x in f(1, i) for y in f(i, n - 1)
        ]

Complexity

Time
Exponential (worst case)
Space · auxiliary
O(depth)

Pattern: Backtracking

Build candidates one choice at a time and abandon a branch the moment it cannot work. LeetCode 816. Ambiguous Coordinates is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Backtracking.

The backtracking guide has the Python template for the pattern and the 105 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 816. Ambiguous Coordinates?

LeetCode 816. Ambiguous Coordinates is rated Medium on LeetCode.

What topics does LeetCode 816. Ambiguous Coordinates cover?

LeetCode 816. Ambiguous Coordinates is tagged String, Backtracking and Enumeration on LeetCode.

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