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Python and dataframe and datetime object

I want to create a new variable New_variable in the following dataset.

The rule for the New_variable is: if a consequential row started within 1 or less from any previous rows' Start or End variables' values, then it should have valued the same otherwise incrementally increases by 1.

Existing Data:

ID Start End New_variable

A 1 1 1

A 0.8 8 1

A 4 4 1

A 18 19 2

B 1 1 1

B 4 6 2

Next, when adding new observations, it also should have the same rule as above, but it should not change the previous New_variable-s values, but add consequentially even the Start value is smaller than the very first row of existing data's start value, see below the desired output.

New Data:

ID Start End

A -5 0

A 6 6

A 10 11

A 23 23

C 1 2

The desired output should be as below:

Existing and New Data:

ID Start End New_variable

A -5 0 3

A 1 1 1

A 0.8 8 1

A 4 4 1

A 6 6 1

A 10 11 4

A 18 19 2

A 23 23 5

B 1 1 1

B 4 6 2

C 1 2 1

Skills: Python, Software Architecture, Data Entry

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