# LeetCode 169: Majority Element ## Abstract model Find an element whose multiplicity is strictly greater than $\lfloor n/2\rfloor$. Existence is guaranteed. The verification case implements the Boyer-Moore cancellation process using one candidate and one vote counter. ## Problem statement Given an integer array `nums` of length $n$, return its majority element. The input is guaranteed to contain such an element. ## Constraints - $1 \le n \le 5\times10^4$. - $-10^9 \le nums_i \le 10^9$. - A majority element always exists. ## Source [LeetCode 169, "Majority Element"](https://leetcode.com/problems/majority-element/).