//n=3, 26 types: a+b+c,a*b*c,a*b/c,a*c/b,a/b/c,b*c/a,b/a/c,c/a/b,(b+c)*a,(b+c)/a,a/(b+c),a+b*c,a+b/c,a+c/b,a*c+b,a/c+b,b+c/a,(a+c)*b,(a+c)/b,b/(a+c),(a+b)*c,(a+b)/c,c/(a+b),a*b+c,a/b+c,b/a+c //n=4, 296 types: a+b+c+d,a*b*c*d,a*b*c/d,a*b*d/c,a*b/c/d,a*c*d/b,a*c/b/d,a*d/b/c,a/b/c/d,b*c*d/a,b*c/a/d,b*d/a/c,b/a/c/d,c*d/a/b,c/a/b/d,d/a/b/c,(c+d)*a*b,(c+d)*a/b,(c+d)*b/a,(c+d)/a/b,a*b/(c+d),a/(c+d)/b,b/(c+d)/a,a+b+c*d,a+b+c/d,a+b+d/c,a+b*d+c,a+b/d+c,a+c+d/b,(b+d)*a*c,(b+d)*a/c,(b+d)*c/a,(b+d)/a/c,a*c/(b+d),a/(b+d)/c,c/(b+d)/a,(b+c)*a*d,(b+c)*a/d,(b+c)*d/a,(b+c)/a/d,a*d/(b+c),a/(b+c)/d,d/(b+c)/a,a+b*c+d,a+b/c+d,a+c/b+d,a*d+b+c,a/d+b+c,b+c+d/a,(a+d)*b*c,(a+d)*b/c,(a+d)*c/b,(a+d)/b/c,b*c/(a+d),b/(a+d)/c,c/(a+d)/b,(a+c)*b*d,(a+c)*b/d,(a+c)*d/b,(a+c)/b/d,b*d/(a+c),b/(a+c)/d,d/(a+c)/b,a*c+b+d,a/c+b+d,b+c/a+d,a*b+c+d,a/b+c+d,b/a+c+d,(a+b)*c*d,(a+b)*c/d,(a+b)*d/c,(a+b)/c/d,c*d/(a+b),c/(a+b)/d,d/(a+b)/c,(a+b)*(c+d),(a+b)/(c+d),(c+d)/(a+b),a*b+c*d,a*b+c/d,a*b+d/c,a/b+c*d,a/b+c/d,a/b+d/c,b/a+c*d,b/a+c/d,b/a+d/c,a*c+b*d,a*c+b/d,a*c+d/b,a/c+b*d,a/c+b/d,a/c+d/b,b*d+c/a,b/d+c/a,c/a+d/b,(a+c)*(b+d),(a+c)/(b+d),(b+d)/(a+c),(a+d)*(b+c),(a+d)/(b+c),(b+c)/(a+d),a*d+b*c,a*d+b/c,a*d+c/b,a/d+b*c,a/d+b/c,a/d+c/b,b*c+d/a,b/c+d/a,c/b+d/a,a+b*c*d,a+b*c/d,a+b*d/c,a+b/c/d,a+c*d/b,a+c/b/d,a+d/b/c,(b+c+d)*a,(b+c+d)/a,a/(b+c+d),(a+c+d)*b,(a+c+d)/b,b/(a+c+d),a*c*d+b,a*c/d+b,a*d/c+b,a/c/d+b,b+c*d/a,b+c/a/d,b+d/a/c,a*b*d+c,a*b/d+c,a*d/b+c,a/b/d+c,b*d/a+c,b/a/d+c,c+d/a/b,(a+b+d)*c,(a+b+d)/c,c/(a+b+d),(a+b+c)*d,(a+b+c)/d,d/(a+b+c),a*b*c+d,a*b/c+d,a*c/b+d,a/b/c+d,b*c/a+d,b/a/c+d,c/a/b+d,(c+d)*b+a,(c+d)/b+a,a+b/(c+d),(b+c*d)*a,(b+c*d)/a,a/(b+c*d),(b+c/d)*a,(b+c/d)/a,a/(b+c/d),(b+d/c)*a,(b+d/c)/a,a/(b+d/c),(b*d+c)*a,(b*d+c)/a,a/(b*d+c),(b/d+c)*a,(b/d+c)/a,a/(b/d+c),(c+d/b)*a,(c+d/b)/a,a/(c+d/b),(b+d)*c+a,(b+d)/c+a,a+c/(b+d),(b+c)*d+a,(b+c)/d+a,a+d/(b+c),(b*c+d)*a,(b*c+d)/a,a/(b*c+d),(b/c+d)*a,(b/c+d)/a,a/(b/c+d),(c/b+d)*a,(c/b+d)/a,a/(c/b+d),(a+c*d)*b,(a+c*d)/b,b/(a+c*d),(a+c/d)*b,(a+c/d)/b,b/(a+c/d),(a+d/c)*b,(a+d/c)/b,b/(a+d/c),(c+d)*a+b,(c+d)/a+b,a/(c+d)+b,(a+d)*c+b,(a+d)/c+b,b+c/(a+d),(a*d+c)*b,(a*d+c)/b,b/(a*d+c),(a/d+c)*b,(a/d+c)/b,b/(a/d+c),(c+d/a)*b,(c+d/a)/b,b/(c+d/a),(a*c+d)*b,(a*c+d)/b,b/(a*c+d),(a/c+d)*b,(a/c+d)/b,b/(a/c+d),(c/a+d)*b,(c/a+d)/b,b/(c/a+d),(a+c)*d+b,(a+c)/d+b,b+d/(a+c),(b+d)*a+c,(b+d)/a+c,a/(b+d)+c,(a+b*d)*c,(a+b*d)/c,c/(a+b*d),(a+b/d)*c,(a+b/d)/c,c/(a+b/d),(a+d/b)*c,(a+d/b)/c,c/(a+d/b),(a*d+b)*c,(a*d+b)/c,c/(a*d+b),(a/d+b)*c,(a/d+b)/c,c/(a/d+b),(b+d/a)*c,(b+d/a)/c,c/(b+d/a),(a+d)*b+c,(a+d)/b+c,b/(a+d)+c,(a+b)*d+c,(a+b)/d+c,c+d/(a+b),(a*b+d)*c,(a*b+d)/c,c/(a*b+d),(a/b+d)*c,(a/b+d)/c,c/(a/b+d),(b/a+d)*c,(b/a+d)/c,c/(b/a+d),(a+b*c)*d,(a+b*c)/d,d/(a+b*c),(a+b/c)*d,(a+b/c)/d,d/(a+b/c),(a+c/b)*d,(a+c/b)/d,d/(a+c/b),(b+c)*a+d,(b+c)/a+d,a/(b+c)+d,(a+c)*b+d,(a+c)/b+d,b/(a+c)+d,(a*c+b)*d,(a*c+b)/d,d/(a*c+b),(a/c+b)*d,(a/c+b)/d,d/(a/c+b),(b+c/a)*d,(b+c/a)/d,d/(b+c/a),(a*b+c)*d,(a*b+c)/d,d/(a*b+c),(a/b+c)*d,(a/b+c)/d,d/(a/b+c),(b/a+c)*d,(b/a+c)/d,d/(b/a+c),(a+b)*c+d,(a+b)/c+d,c/(a+b)+d //n=5,4672 types: 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