static int cmmdc(int a, int b)
        {
            if (b == 0) return a;
            else return cmmdc(b, a % b);
        }

static int xlan(int x, int n)
        {
            if (n == 0) return 1;
            else return x * xlan(x, n - 1);
        }

static void putere(int n, out int x, out int k)
        {
            //calculam in k cmmdc al exponentilor din 
            //descompunerea in factori primi
            k = 0;
            int d = 2,m=n;
            while(n>1)
            {
                if (n % d == 0)
                {
                    int e = 0;
                    while (n % d == 0) { e++; n = n / d; }
                    k = cmmdc(k, e);
                }
                else d++;
                if(n>1 && d*d>n) { k = 1; break; }
            }
            //calculam pe x la produs de factori primi la 
            //puterea impartita la k
            d = 2;
            n = m;
            if(k==1) { x = n;  return;  }
            x = 1;
            while (n > 1)
            {
                if (n % d == 0)
                {
                    int e = 0;
                    while (n % d == 0) { e++; n = n / d; }
                    x = x * xlan(d, e / k);
                }
                else d++;
            }
        }