The price comparison is done for six doors G1, G2, G3, G4, G5, and G6. No two doors have the same prices. The price of G3 is less than two doors only. The price of G1 is less than G3 but higher than G4. The price of G3 is less than that of G2. If the value of G6 is maximum, then which of the following statement(s) is/are correct about the G5 door?

I. Price of G1 is less than G5

II. Price of G4 is more than G5