class VectorNDim:

    def __init__(self, n):
        self.coords = [1] + [0] * (n-1)

    def __len__(self):
        return len(self.coords)

    def __getitem__(self, i):
        return self.coords[i]
    
    def __setitem__(self, i, k):
        self.coords[i] = k

    def modul(self):
        s = 0
        for c in self.coords: 
            s = s + c ** 2
        return s ** (1/2)
        # Alternativa: return sum(map(lambda x:x*x, self.coords)) ** (1/2)

    def escala(self, fact):
        for i in range(len(self.coords)):
            self.coords[i] = self.coords[i] * fact
        # Alternativa: self.coords = list(map(lambda x:x*fact, self.coords))

    def normalitza(self):
        self.escala(1/self.modul())

    def __add__(self, altre):
        vsum = VectorNDim(len(self))
        for i in range(len(self)):
            vsum[i] = self[i] + altre[i]
        return vsum