JavaScript: Check if array has an almost increasing sequence

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.

The sequence a0, a1, ..., an is considered to be a strictly increasing if a0 < a1 < ... < an. Sequence containing only one element is also considered to be strictly increasing.

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.

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

Example

Following is the code −

const arr1 = [3, 5, 67, 98, 3];
const arr2 = [4, 3, 5, 67, 98, 3];
const almostIncreasingSequence = sequence => {
   let removed = 0;
   let i = 0;
   let prev = -Infinity;
   while(removed < 2 && i < sequence.length) {
      if(sequence[i] > prev) {
         prev = sequence[i];
      }else{
         prev = Math.min(prev, sequence[i]);
         removed++;
      }
      i++;
   }
   return removed < 2;
};
console.log(almostIncreasingSequence(arr1));
console.log(almostIncreasingSequence(arr2));

Output

This will produce the following output on console −

true
false