First, I'll list out all the given information and constraints to understand the problem better.
Clue Breakdown:
Musicians: Ananya Raga, Bhaskar Tala, Charu Veena, Devendra Sur.
Gurus: Pandit Meghnath, Ustad Samiran, Acharya Raghunath.
Each musician trained under each Guru for consecutive years, with spans of 2, 3, or 4 years. Each Guru has a different span.
No Guru trained more than two students in the same year.
When two students train under the same Guru in the same year, they are Gurubhai.
Ananya and Devendra were never Gurubhai; Bhaskar and Charu were never Gurubhai. All other pairs were Gurubhai for exactly 2 years.
Ustad Samiran never trained more than one student in the same year.
Acharya Raghunath didn't train any students from 2015-2018 and 2021-2024.
In 2013, Ananya started training under Pandit Meghnath, and Bhaskar started under Ustad Samiran.
Step-by-Step Deduction Grid:
I'll create a table to track each musician's training years and identify when they were under the same Guru.
| Year | Ananya | Bhaskar | Charu | Devendra | Guru Notes |
|---|
| 2013 | PM | US | | | Ananya and Bhaskar start under different Gurus. |
| 2014 | PM | US | | | Possible continuation. |
| 2015 | PM | US | | | Same as above. |
| 2016 | PM | US | | | Same. |
| 2017 | PM | US | | | Same. |
| 2018 | PM | US | | | Same. |
| 2019 | PM | US | | | Same. |
| 2020 | PM | US | | | Same. |
| 2021 | PM | US | | | Same. |
| 2022 | PM | US | | | Same. |
| 2023 | PM | US | | | Same. |
| 2024 | PM | US | | | Same. |
Wait, this table is too simplistic. I need to consider the Guru spans and the constraints about Gurubhai relationships.
Let me think differently. Each Guru trains students for consecutive years with spans of 2, 3, or 4 years. Each Guru has a different span, so one has 2, another 3, and the third 4 years.
From clue 2, Acharya Raghunath didn't train anyone from 2015-2018 and 2021-2024. So, he must have trained during 2019-2020, which is 2 years. That means his span is 2 years.
Wait, but the spans are 2, 3, 4. If Acharya trained for 2 years, then the other Gurus must have 3 and 4 years.
But clue 2 says Acharya didn't train during 2015-2018 and 2021-2024. So, he must have trained in 2019-2020, which is 2 years. So, his span is 2 years.
Now, Ustad Samiran never trained more than one student in the same year (clue 1). So, he can have at most one student per year.
Pandit Meghnath must have the remaining span. Since the spans are 2, 3, 4, and Acharya has 2, then either Pandit has 3 or 4, and Ustad has the remaining.
But Ustad can't have more than one student per year, so his span must be such that he can train one student each year without overlapping. .
Wait, Ustad can train one student per year, but his span could be 3 or 4 years. If he has a span of 3, he could train one student each year for 3 years. Similarly, for 4 years.
But the timeline. From 2013 to 2024, that's 12 years.
Ananya started with Pandit in 2013. Since Pandit has a span of 3 or 4 years, she must have trained under him for 3 or 4 consecutive years starting from 2013.
Similarly, Bhaskar started with Ustad in 2013. Ustad's span is either 3 or 4 years, so he trained Bhaskar for 3 or 4 years starting 2013.
But clue 2 says Acharya didn't train from 2015-2018 and 2021-2024, so he must have trained in 2019-2020, which is 2 years.
So, let's assign spans:
Acharya: 2 years (2019-2020)
Ustad: 4 years (2013-2016) because he started in 2013 and can't have more than one student per year.
Pandit: 3 years (2013-2015)
Wait, but Ananya started with Pandit in 2013, so if Pandit's span is 3 years, she would have trained until 2015. Then, from 2016 onwards, she must have trained under someone else. But clue 2 says Acharya didn't train until 2018, so she can't be with Acharya until 2018. So, she must have trained under someone else from 2016 onwards.
But the Gurus are only three, and she can't train under the same Guru in the same year as someone else unless it's allowed. Wait, no, the constraint is that no Guru trained more than two students in the same year. So, if a Guru has a span, they can have up to two students each year.
But Ustad can only have one student per year (clue
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