import fractions n = int(input()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) D = list(map(int, input().split())) X_ind = sorted(range(n), key=lambda i: fractions.Fraction(A[i], B[i])) Y_ind = sorted(range(n), key=lambda i: fractions.Fraction(C[i], D[i])) S = [(fractions.Fraction(0), fractions.Fraction(0))] for i in X_ind: S.append((S[-1][0] + A[i], S[-1][1] + B[i])) T = [(fractions.Fraction(0), fractions.Fraction(0))] for i in Y_ind: T.append((T[-1][0] + C[i], T[-1][1] + D[i])) def cross3(a, b, c): return (b[0] - a[0]) * (c[1] - a[1]) - (b[1] - a[1]) * (c[0] - a[0]) def iscross(a1, a2, b1, b2): flg1 = cross3(a1, a2, b1) * cross3(a1, a2, b2) < 0 flg2 = cross3(b1, b2, a1) * cross3(b1, b2, a2) < 0 return flg1 and flg2 if fractions.Fraction(*S[1]) > fractions.Fraction(*T[1]): print("No") exit() for i in range(n + 1): for j in range(n): res = cross3(S[j], S[j + 1], T[i]) if res > 0: print("No") exit() def f(P1, P2): y1, x1 = P1 y2, x2 = P2 a = (y1 - y2) / (x1 - x2) b = y1 - a * x1 return a, b cnt = 1 p = 0 p2 = 1 y = fractions.Fraction(0) x = fractions.Fraction(0) # print(T) # print(S) while p < n: # print("+++", cnt, y, x, p, p2) res = cross3((y, x), T[p], T[p + 1]) if res >= 0: p += 1 continue cnt += 1 while 1: # print(y, x, p, p2, T[p]) # print(S[p2], S[p2 + 1]) r1 = cross3((y, x), T[p], S[p2]) r2 = cross3((y, x), T[p], S[p2 + 1]) # print(p, p2, r1, r2) if r1 * r2 <= 0: break p2 += 1 a, b = f((y, x), T[p]) c, d = f(S[p2], S[p2 + 1]) # print(y, x, T[p], S[p2], S[p2 + 1]) # print(a, b, c, d) if a == c: y, x = S[p2 + 1] else: y = (a * d - b * c) / (a - c) x = (d - b) / (a - c) p += 1 p2 += 1 if cnt < n: print("Yes") exit() for i in range(n): for j in range(i + 1, n): if (fractions.Fraction(A[i], B[i]) > fractions.Fraction(A[j], B[j])) and ( fractions.Fraction(C[i], D[i]) < fractions.Fraction(C[j], D[j]) ): print("No") exit() if (fractions.Fraction(A[i], B[i]) < fractions.Fraction(A[j], B[j])) and ( fractions.Fraction(C[i], D[i]) > fractions.Fraction(C[j], D[j]) ): print("No") exit() print("Yes")