Provinces and Gold

Jake is learning how to play the card game Dominion. In Dominion, you can buy a variety of treasure, action, and victory point cards. At the end of the game, the player with the most victory points wins!

Each turn, each player draws 5 cards and can use their action and treasure cards to get buying power, which they spend on more cards. Since Jake is just starting out, he has decided to buy only treasure and victory point cards.

So the cards he can buy are:

• Province (costs $8$, worth $6$ victory points)
• Duchy (costs $5$, worth $3$ victory points)
• Estate (costs $2$, worth $1$ victory point)

There are 3 kinds of treasure cards:

• Gold (costs $6$, worth $3$ buying power)
• Silver (costs $3$, worth $2$ buying power)
• Copper (costs $0$, worth $1$ buying power)

At the start of Jake's turn, he draws 5 of these cards. Given the number of Golds, Silvers, and Coppers in his hand, calculate the best victory card and the best treasure card he can buy that turn. Jake can buy only one card.

The input is a single test case on a single line, containing three non-negative integers $G$, $S$, $C$ ($G + S + C \le 5$). They are the number of Golds, Silvers, and Coppers Jake draws in his hand.

Output the best victory card and the best treasure card Jake can buy this turn, separated with " or ", in this order. If Jake cannot afford any victory card, output only the best treasure card he can buy.

In Sample 1, Jake has 1 Silver in his hand, so his buying power is 2. That allows him to buy either an Estate or a Copper.