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Algebra Level 3

Two students, venkatesh and dheeraj together thought of hundred 2020-degree polynomials. Then, Venkatesh began calling consecutive natural numbers starting with some natural number. After each called number, Dheeraj chose one of the hundred polynomials at random and plugged in the called number. The results were recorded on the board. They eventually form a sequence. After they finished, their sequence was arithmetic. What is the greatest number of numbers that Venkatesh could have called out?

HINT : PHP


The answer is 202000.

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