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#include <cmath>
inline double sq(double x) noexcept {
return x * x;
}
struct Vector {
double data[2];
double comp(int x, int y) const {
return x*data[0] + y*data[1];
}
double norm() const {
return std::sqrt(sq(data[0]) + sq(data[1]));
}
double& operator[](std::size_t i) {
return data[i];
}
double operator[](std::size_t i) const {
return data[i];
}
Vector operator*(double scalar) const {
return Vector{
data[0] * scalar,
data[1] * scalar
};
}
Vector& operator+=(const Vector& rhs) {
data[0] += rhs[0];
data[1] += rhs[1];
return *this;
}
};
Vector operator*(double scalar, const Vector& vec) {
return Vector{
vec[0] * scalar,
vec[1] * scalar
};
}
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