How to Solve Sum Game Leetcode Problem - Interview Coder Guide
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How to Solve Sum Game Problem

Master the Sum Game LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Medium#2039
LeetCode Problem

Sum Game

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. On each turn, a player will do the following if t...

MathStringGreedy+1 more

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Problem Breakdown

Understanding the Sum Game Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

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. On each turn, a player will do the following if there is still at least one '?' in num: Choose an index i where num[i] == '?'. Replace num[i] with any digit between '0' and '9'. The game ends when there are no more '?' characters in num. For Bob to win, the sum of the digits in the first half of num must be equal to the sum of the digits in the second half. For Alice to win, the sums must not be equal. For example, if the game ended with num = "243801", then Bob wins because 2+4+3 = 8+0+1. If the game ended with num = "243803", then Alice wins because 2+4+3 != 8+0+3. Assuming Alice and Bob play optimally, return true if Alice will win and false if Bob will win.

MediumProblem #2039
LeetCode

Sum Game

Related Topics
MathStringGreedyGame Theory
How Interview Coder Helps

Get real-time assistance for Sum Game problems during coding interviews. Interview Coder provides instant solutions and explanations.

Examples

Example 1
INPUT
num = "5023"
OUTPUT
false
EXPLANATION

There are no moves to be made. The sum of the first half is equal to the sum of the second half: 5 + 0 = 2 + 3.

Example 2
INPUT
num = "25??"
OUTPUT
true
EXPLANATION

Alice can replace one of the '?'s with '9' and it will be impossible for Bob to make the sums equal.

Example 3
INPUT
num = "?3295???"
OUTPUT
false
EXPLANATION

It can be proven that Bob will always win. One possible outcome is: - Alice replaces the first '?' with '9'. num = "93295???". - Bob replaces one of the '?' in the right half with '9'. num = "932959??". - Alice replaces one of the '?' in the right half with '2'. num = "9329592?". - Bob replaces the last '?' in the right half with '7'. num = "93295927". Bob wins because 9 + 3 + 2 + 9 = 5 + 9 + 2 + 7.

Constraints

2 <= num.length <= 105
num.length is even.
num consists of only digits and '?'.

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Frequently Asked Questions

Common questions about solving Sum Game and using Interview Coder during coding interviews.

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