A special Slot Machine is introduced in a new casino; this machine has a digital interface of a 3X3 grid. An interface button named as SPIN for making the machine spin. There are four symbols BELL, BAR, CHERRY, and PLUM that can appear at random on the grid. The machine accepts 3 coins for a single spin. The machine has a special interface for collecting input coins. The inserted coins are also accumulated and shown on the machine interface. When the machine is spun a 3X3 pattern appears on the screen. If there is any match symbol in a row, or a column or in a diagonal the player is rewarded with 5 times the input-coins. If the there is more than one such row, column or diagonal the reward will be double for each, if the two diagonals are the same the reward will be 10 times. You are required to implement a C++ class, which can be used to simulate this machine on computer. For example if a player spun the machine and it appears as the given below:

The player will be rewarded with 2 times the coins used to play the bet that is 6 coins, as only one matched column appeared.