Problem Name: Mysterious Quadrilateral
Problem setter: Mb. Abdul Alim
Limits 1s, 512 MB
To solve this problem, we need to first understand the relationship between the angles in a quadrilateral.
In any quadrilateral, the sum of its interior angles is always 360 degrees.
Let's denote the four angles of the quadrilateral as ∠A, ∠B, ∠C, and ∠D.
Given:
∠A = X * Y
∠B = X * 2 * Y
∠C = ∠D - 17°
∠D = N
We know that ∠A + ∠B + ∠C + ∠D = 360°.
∠C = N - 17°
Substituting the given expressions for each angle, we get:
(X * Y) + (X * 2 * Y) + ( ∠D - 17°) + ∠D = 360°
Simplify the equation to find the value of Y.
Now, ∠B = X*2*Y. X is given as our input.
Now, calculate the value of ∠B using the given value of X and Y.
Finally, round the result to two decimal places and output it in the required format.
Complexity:
Time Complexity: O(1)
Space complexity: O(1)