{"raw_statement":[{"iden":"statement","content":"It's New Year's Eve soon, so Ivan decided it's high time he started setting the table. Ivan has bought two cakes and cut them into pieces: the first cake has been cut into _a_ pieces, and the second one — into _b_ pieces.\n\nIvan knows that there will be _n_ people at the celebration (including himself), so Ivan has set _n_ plates for the cakes. Now he is thinking about how to distribute the cakes between the plates. Ivan wants to do it in such a way that all following conditions are met:\n\n1.  Each piece of each cake is put on some plate;\n2.  Each plate contains at least one piece of cake;\n3.  No plate contains pieces of both cakes.\n\nTo make his guests happy, Ivan wants to distribute the cakes in such a way that the minimum number of pieces on the plate is maximized. Formally, Ivan wants to know the maximum possible number _x_ such that he can distribute the cakes according to the aforementioned conditions, and each plate will contain at least _x_ pieces of cake.\n\nHelp Ivan to calculate this number _x_!"},{"iden":"input","content":"The first line contains three integers _n_, _a_ and _b_ (1 ≤ _a_, _b_ ≤ 100, 2 ≤ _n_ ≤ _a_ + _b_) — the number of plates, the number of pieces of the first cake, and the number of pieces of the second cake, respectively."},{"iden":"output","content":"Print the maximum possible number _x_ such that Ivan can distribute the cake in such a way that each plate will contain at least _x_ pieces of cake."},{"iden":"examples","content":"Input\n\n5 2 3\n\nOutput\n\n1\n\nInput\n\n4 7 10\n\nOutput\n\n3"},{"iden":"note","content":"In the first example there is only one way to distribute cakes to plates, all of them will have 1 cake on it.\n\nIn the second example you can have two plates with 3 and 4 pieces of the first cake and two plates both with 5 pieces of the second cake. Minimal number of pieces is 3."}],"translated_statement":null,"sample_group":[],"show_order":[],"formal_statement":null,"simple_statement":null,"has_page_source":false}