Given a non-empty array of integers, return the third maximum number in this array. If it does not exist, return the maximum number. The time complexity must be in O(n).
Input: [3, 2, 1] Output: 1 Explanation: The third maximum is 1.
Input: [1, 2] Output: 2 Explanation: The third maximum does not exist, so the maximum (2) is returned instead.
Input: [2, 2, 3, 1] Output: 1 Explanation: Note that the third maximum here means the third maximum distinct number. Both numbers with value 2 are both considered as second maximum.
impl Solution {
pub fn third_max(nums: Vec<i32>) -> i32 {
let mut max_nums = Vec::new();
for n in nums {
if !max_nums.contains(&n) {
match max_nums.len() {
0 => max_nums.push(n),
1 => {
if max_nums[0] < n {
max_nums.push(n);
} else {
max_nums.insert(0, n);
}
},
2 => {
if max_nums[1] < n {
max_nums.push(n);
} else if max_nums[0] > n {
max_nums.insert(0, n);
} else {
max_nums.insert(1, n);
}
},
3 => {
if max_nums[2] < n {
max_nums.push(n);
max_nums.remove(0);
} else if max_nums[1] < n {
max_nums.insert(2, n);
max_nums.remove(0);
} else if max_nums[0] < n {
max_nums.insert(1, n);
max_nums.remove(0);
}
},
_ => (),
};
}
}
if max_nums.len() < 3 {
*max_nums.last().unwrap()
} else {
*max_nums.first().unwrap()
}
}
}