Sum Game — LeetCode 1927 Python Solution

MediumGreedyMathStringGame Theory
Problem
#1927
Pattern
Greedy
Reading time
2 min

The problem

Alice and Bob take turns playing a game, with Alice starting first. You are given a string num of even length consisting of digits and '?' characters.

Example

Input
num = "5023"
Output
false
Explanation
There are no moves to be made.

Python solution

Python
class Solution:
    def sumGame(self, num: str) -> bool:
        n = len(num)
        cnt1 = num[: n // 2].count("?")
        cnt2 = num[n // 2 :].count("?")
        s1 = sum(int(x) for x in num[: n // 2] if x != "?")
        s2 = sum(int(x) for x in num[n // 2 :] if x != "?")
        return (cnt1 + cnt2) % 2 == 1 or s1 - s2 != 9 * (cnt2 - cnt1) // 2

Complexity

MeasureComplexity
TimeO(n), where n is the length of the string
SpaceO(1) auxiliary

Pattern: Greedy

Take the locally best option every time — when you can prove that never costs you later. LeetCode 1927. Sum Game 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.

Related problems

Frequently asked questions

How hard is LeetCode 1927. Sum Game?
LeetCode 1927. Sum Game is rated Medium on LeetCode.
What is the time complexity of LeetCode 1927. Sum Game?
The Python solution on this page runs in O(n), where n is the length of the string.
What is the space complexity of LeetCode 1927. Sum Game?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 1927. Sum Game cover?
LeetCode 1927. Sum Game is tagged Greedy, Math, String and Game Theory on LeetCode.

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