Overflow in intermediate arithmetic
Wrong move: Temporary multiplications exceed integer bounds.
Usually fails on: Large inputs wrap around unexpectedly.
Fix: Use wider types, modular arithmetic, or rearranged operations.
Move from brute-force thinking to an efficient approach using math strategy.
There are n pieces arranged in a line, and each piece is colored either by 'A' or by 'B'. You are given a string colors of length n where colors[i] is the color of the ith piece.
Alice and Bob are playing a game where they take alternating turns removing pieces from the line. In this game, Alice moves first.
'A' if both its neighbors are also colored 'A'. She is not allowed to remove pieces that are colored 'B'.'B' if both its neighbors are also colored 'B'. He is not allowed to remove pieces that are colored 'A'.Assuming Alice and Bob play optimally, return true if Alice wins, or return false if Bob wins.
Example 1:
Input: colors = "AAABABB" Output: true Explanation: AAABABB -> AABABB Alice moves first. She removes the second 'A' from the left since that is the only 'A' whose neighbors are both 'A'. Now it's Bob's turn. Bob cannot make a move on his turn since there are no 'B's whose neighbors are both 'B'. Thus, Alice wins, so return true.
Example 2:
Input: colors = "AA" Output: false Explanation: Alice has her turn first. There are only two 'A's and both are on the edge of the line, so she cannot move on her turn. Thus, Bob wins, so return false.
Example 3:
Input: colors = "ABBBBBBBAAA" Output: false Explanation: ABBBBBBBAAA -> ABBBBBBBAA Alice moves first. Her only option is to remove the second to last 'A' from the right. ABBBBBBBAA -> ABBBBBBAA Next is Bob's turn. He has many options for which 'B' piece to remove. He can pick any. On Alice's second turn, she has no more pieces that she can remove. Thus, Bob wins, so return false.
Constraints:
1 <= colors.length <= 105colors consists of only the letters 'A' and 'B'Problem summary: There are n pieces arranged in a line, and each piece is colored either by 'A' or by 'B'. You are given a string colors of length n where colors[i] is the color of the ith piece. Alice and Bob are playing a game where they take alternating turns removing pieces from the line. In this game, Alice moves first. Alice is only allowed to remove a piece colored 'A' if both its neighbors are also colored 'A'. She is not allowed to remove pieces that are colored 'B'. Bob is only allowed to remove a piece colored 'B' if both its neighbors are also colored 'B'. He is not allowed to remove pieces that are colored 'A'. Alice and Bob cannot remove pieces from the edge of the line. If a player cannot make a move on their turn, that player loses and the other player wins. Assuming Alice and Bob play optimally, return true if Alice wins, or return false if Bob wins.
Start with the most direct exhaustive search. That gives a correctness anchor before optimizing.
Pattern signal: Math · Greedy
"AAABABB"
"AA"
"ABBBBBBBAAA"
longest-subarray-with-maximum-bitwise-and)Source-backed implementations are provided below for direct study and interview prep.
// Accepted solution for LeetCode #2038: Remove Colored Pieces if Both Neighbors are the Same Color
class Solution {
public boolean winnerOfGame(String colors) {
int n = colors.length();
int a = 0, b = 0;
for (int i = 0, j = 0; i < n; i = j) {
while (j < n && colors.charAt(j) == colors.charAt(i)) {
++j;
}
int m = j - i - 2;
if (m > 0) {
if (colors.charAt(i) == 'A') {
a += m;
} else {
b += m;
}
}
}
return a > b;
}
}
// Accepted solution for LeetCode #2038: Remove Colored Pieces if Both Neighbors are the Same Color
func winnerOfGame(colors string) bool {
n := len(colors)
a, b := 0, 0
for i, j := 0, 0; i < n; i = j {
for j < n && colors[j] == colors[i] {
j++
}
m := j - i - 2
if m > 0 {
if colors[i] == 'A' {
a += m
} else {
b += m
}
}
}
return a > b
}
# Accepted solution for LeetCode #2038: Remove Colored Pieces if Both Neighbors are the Same Color
class Solution:
def winnerOfGame(self, colors: str) -> bool:
a = b = 0
for c, v in groupby(colors):
m = len(list(v)) - 2
if m > 0 and c == 'A':
a += m
elif m > 0 and c == 'B':
b += m
return a > b
// Accepted solution for LeetCode #2038: Remove Colored Pieces if Both Neighbors are the Same Color
/**
* [2038] Remove Colored Pieces if Both Neighbors are the Same Color
*
* There are n pieces arranged in a line, and each piece is colored either by 'A' or by 'B'. You are given a string colors of length n where colors[i] is the color of the i^th piece.
* Alice and Bob are playing a game where they take alternating turns removing pieces from the line. In this game, Alice moves first.
*
* Alice is only allowed to remove a piece colored 'A' if both its neighbors are also colored 'A'. She is not allowed to remove pieces that are colored 'B'.
* Bob is only allowed to remove a piece colored 'B' if both its neighbors are also colored 'B'. He is not allowed to remove pieces that are colored 'A'.
* Alice and Bob cannot remove pieces from the edge of the line.
* If a player cannot make a move on their turn, that player loses and the other player wins.
*
* Assuming Alice and Bob play optimally, return true if Alice wins, or return false if Bob wins.
*
* Example 1:
*
* Input: colors = "AAABABB"
* Output: true
* Explanation:
* A<u>A</u>ABABB -> AABABB
* Alice moves first.
* She removes the second 'A' from the left since that is the only 'A' whose neighbors are both 'A'.
* Now it's Bob's turn.
* Bob cannot make a move on his turn since there are no 'B's whose neighbors are both 'B'.
* Thus, Alice wins, so return true.
*
* Example 2:
*
* Input: colors = "AA"
* Output: false
* Explanation:
* Alice has her turn first.
* There are only two 'A's and both are on the edge of the line, so she cannot move on her turn.
* Thus, Bob wins, so return false.
*
* Example 3:
*
* Input: colors = "ABBBBBBBAAA"
* Output: false
* Explanation:
* ABBBBBBBA<u>A</u>A -> ABBBBBBBAA
* Alice moves first.
* Her only option is to remove the second to last 'A' from the right.
* ABBBB<u>B</u>BBAA -> ABBBBBBAA
* Next is Bob's turn.
* He has many options for which 'B' piece to remove. He can pick any.
* On Alice's second turn, she has no more pieces that she can remove.
* Thus, Bob wins, so return false.
*
*
* Constraints:
*
* 1 <= colors.length <= 10^5
* colors consists of only the letters 'A' and 'B'
*
*/
pub struct Solution {}
// problem: https://leetcode.com/problems/remove-colored-pieces-if-both-neighbors-are-the-same-color/
// discuss: https://leetcode.com/problems/remove-colored-pieces-if-both-neighbors-are-the-same-color/discuss/?currentPage=1&orderBy=most_votes&query=
// submission codes start here
impl Solution {
pub fn winner_of_game(colors: String) -> bool {
colors.as_bytes().windows(3).fold(0, |acc, w| {
acc + if w == b"AAA" {
1
} else if w == b"BBB" {
-1
} else {
0
}
}) > 0
}
}
// submission codes end
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_2038_example_1() {
let colors = "AAABABB".to_string();
let result = true;
assert_eq!(Solution::winner_of_game(colors), result);
}
#[test]
fn test_2038_example_2() {
let colors = "AA".to_string();
let result = false;
assert_eq!(Solution::winner_of_game(colors), result);
}
#[test]
fn test_2038_example_3() {
let colors = "ABBBBBBBAAA".to_string();
let result = false;
assert_eq!(Solution::winner_of_game(colors), result);
}
}
// Accepted solution for LeetCode #2038: Remove Colored Pieces if Both Neighbors are the Same Color
function winnerOfGame(colors: string): boolean {
const n = colors.length;
let [a, b] = [0, 0];
for (let i = 0, j = 0; i < n; i = j) {
while (j < n && colors[j] === colors[i]) {
++j;
}
const m = j - i - 2;
if (m > 0) {
if (colors[i] === 'A') {
a += m;
} else {
b += m;
}
}
}
return a > b;
}
Use this to step through a reusable interview workflow for this problem.
Try every possible combination of choices. With n items each having two states (include/exclude), the search space is 2ⁿ. Evaluating each combination takes O(n), giving O(n × 2ⁿ). The recursion stack or subset storage uses O(n) space.
Greedy algorithms typically sort the input (O(n log n)) then make a single pass (O(n)). The sort dominates. If the input is already sorted or the greedy choice can be computed without sorting, time drops to O(n). Proving greedy correctness (exchange argument) is harder than the implementation.
Review these before coding to avoid predictable interview regressions.
Wrong move: Temporary multiplications exceed integer bounds.
Usually fails on: Large inputs wrap around unexpectedly.
Fix: Use wider types, modular arithmetic, or rearranged operations.
Wrong move: Locally optimal choices may fail globally.
Usually fails on: Counterexamples appear on crafted input orderings.
Fix: Verify with exchange argument or monotonic objective before committing.