Increasing Sequence C++

I try to solve this challenge on CodeFights, but, nothing work. My best solution got 25/26 (time limit exceed on last test) but i deleted that because i try it yesterday (was O(n^2)). Now i try a new one in O(n). I am very tired and I really want to get this done today, so please help me.

Here are the statements: Given a sequence of integers as an array, determine whether it is possible to obtain a strictly increasing sequence by removing no more than one element from the array.

Example

For sequence = [1, 3, 2, 1], the output should be
almostIncreasingSequence(sequence) = false;

There is no one element in this array that can be removed in order to get a strictly increasing sequence.

For sequence = [1, 3, 2], the output should be
almostIncreasingSequence(sequence) = true.

You can remove 3 from the array to get the strictly increasing sequence [1, 2]. Alternately, you can remove 2 to get the strictly increasing sequence [1, 3].

And here is my code until now... (poor code):

#include <iostream>
#include <vector>

#include <algorithm>

bool almostIncreasingSequence(std::vector<int> sequence) 
{
    int count = 0;


    for(int i = 0; i < sequence.size()-1; i++)
    {
        if(sequence[i] > sequence[i+1])
        {
            count++;
            sequence.erase(sequence.begin(), sequence.begin() + i);
            i--;
        }
        if(count == 2)
            return false;
    }
    return true;
}

int main()
{
    std::cout << std::endl;
    return 0;
}