## Question 1
What will be the updated list of intervals?

existing_intervals = $[[1, 3], [4, 5], [7, 8], [9, 12], [13, 14]]$

new_interval = $[2, 10]$
### Options

1. $[[1, 12], [13, 14]]$
Correct
Since we added the interval [2, 10] into the existing intervals list, we merged it with [1, 3], [4, 5], [7, 8], and [9, 12] one by one.
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2. $[[1, 3], [2, 10], [4, 5], [7, 8], [9, 12], [13, 14]]$
Incorrect

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3. $[[2, 10], [13, 14]]$
Incorrect

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## Question 2
What will be the updated list of intervals?

existing_intervals = $[[1, 2],[3, 5],[6, 7],[8, 10],[12, 16]]$

new_interval = $[4, 8]$
### Options

1. $[[1, 2], [3, 4], [5, 7], [8, 10], [12, 16]]$
Incorrect

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2. $[[1, 2], [4, 10], [12, 16]]$
Incorrect

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3. $[[1, 2], [3, 4], [5, 10], [12, 16]]$
Incorrect

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4. $[[1, 2], [3, 10], [12, 16]]$
Correct
Since we added the interval [4, 8] into the existing intervals list, we merged it with [3, 5], [6, 7], and [8, 10] one by one.
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## Question 3
What will be the updated list of intervals?

existing_intervals = $[[1, 2],[5, 7],[8, 10]]$

new_interval = $[3,4]$
### Options

1. $[[1, 2], [3, 4], [5, 7], [8, 10]]$
Correct
Since the interval [3,4] doesn't overlap with any other interval in the existing list, we have simply added it as it is.
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2. $[[1, 3], [5, 7], [8, 10]]$
Incorrect

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3. $[[1, 10]]$
Incorrect

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4. $[[1, 3], [4, 6], [7, 10]]$
Incorrect

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## Question 4
What will be the updated list of intervals?

existing_intervals = $[[3, 5]]$

new_interval = $[1, 10]$
### Options

1. $[[1, 3], [4, 10]]$
Incorrect

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2. $[[1, 10]]$
Correct
Since the existing interval [3, 5] is in the range of the new interval [1, 10], both of them were merged.
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3. $[[1, 3], [4, 6], [7, 10]]$
Incorrect

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4. $[[3, 5]]$
Incorrect

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