Vector. Scalar Product
Very easy
Execution time limit is 1 second
Runtime memory usage limit is 128 megabytes
You are given two vectors. Find their scalar product and the angle between them.
Write the code according to the next interface:
class Vector // C++ { public: int dx, dy; Vector(void); // Constructor. Read the vector coordinates double Len(void); // Return the length of a vector int operator *(Vector &b); // Overload operator *: return the scalar product double GetAngle(Vector &b); // Return in radians the angle between current vector and vector b };
class Vector // Java { private int dx, dy; Vector(); // Constructor, creates vector (0, 0) Vector(int dx, int dy); // Constructor, creates vector (dx, dy) public double getLength(void); // Returns the length of the vector public int Scalar(Vector v); // Returns the scalar product of current vector and vector v public double GetAngle(Vector v); // Returns in radians the angle between current vector and vector v };
Input
Four integers - the coordinates of two nonzero vectors. All values do not exceed 10000 by the absolute value.
Output
In the first line print the scalar product of the vectors and in the second line print the value of an undirected angle between them up to the fifth decimal place in the interval [0; π].
Examples
Input #1
Answer #1
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