Problem 52467. Easy Sequences 2: Trigonometric function with integral input and output
The function 'F', defined as:
,
will always return an integer if the input is a natural number (in radians). Furthermore, since the cosine and sine of 0, are 1 and 0 respectively, therefore F(0) = 0. For a given natural number 'n' your task is to find the value of F(n).
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3 Comments
Mark Posen
on 10 Dec 2021
Can someone please explain test case 4? I don't see what is going on, as intmax-4 is clearly not 1234567891011.
I could only pass this case by bodging x inside the function, which is clearly unsatisfactory.
Dyuman Joshi
on 10 Dec 2021
intmax - 4 is not equal to 1234567891011. But
F(intmax-4) is equal to F(1234567891011). The given function can have same output for different inputs.
Ramon Villamangca
on 14 Dec 2021
Hi Mark,
Trigonometric functions are naturally periodic. So we can expect same function return from different inputs.
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