I recently encountered a challenging algorithm problem that I need help with:
"I have a sequence of integers stored in an array. My task is to determine whether it is possible to obtain a strictly increasing sequence by removing no more than one element from the array.
For example, given the sequence [1, 3, 2, 1], the output should be: almostIncreasingSequence(sequence) = false;
In this case, there is no single element in the array that can be removed to achieve a strictly increasing sequence.
On the other hand, for the sequence [1, 3, 2], the output should be: almostIncreasingSequence(sequence) = true.
We can remove the number 3 from the array to get the strictly increasing sequence [1, 2]. Alternatively, removing 2 will also result in a strictly increasing sequence [1, 3]."
The Javascript code I used to tackle this problem was:
function almostIncreasingSequence(sequence) {
var count =0;
for (i =0 ; i<sequence.length-1 ; i++){
if (sequence[i+1]<=sequence[i]){
count++;
}
}
return count <2;
}
However, when testing my code with the sequence [1,2,3,4,3,4,5], I realized it failed to provide the correct answer;
I am seeking guidance on an alternative algorithm that can effectively solve this problem. Can you please explain the steps clearly so that I can comprehend the process?
I apologize if my question isn't articulated well, as this is my first time reaching out here. Thank you for your understanding.