Source File:

Input File: PROBLEMB.DAT

Description:

Professor Clueless needs help playing the Yathzee dice game with his daughter. He realizes that there are 5 six sided dice, but after he has rolled them, he can't distinguish a long straight from a full house. Your task is to identify the best use of each group of five dice values in the input.

The input will consist of groups of five dice values where each die has the integer value 1 to 6 inclusive. You should ignore values that are outside that range (with a message stating you are ignoring it). Continue reading groups of 5 dice values until an attempt to read an integer fails. For each group of dice, print the best use of that group of dice.

Possible uses listed from best to worst are:

• A long straight contains a sequence of five consecutive digits.

  e.g. 6 4 5 3 2 has long straight: 2 3 4 5 6

• A short straight contains a sequence of four consecutive digits.

  e.g. 6 4 1 3 2 contains short straight: 1 2 3 4

• Five of a kind contains five identical dice values.

  e.g. 4 4 4 4 4 has five of a kind: 4

• Four of a kind has four identical dice values.

  e.g. 6 5 6 6 6 has four of a kind: 6

• A full house has three identical dice values and two different identical dice values.

  e.g. 5 4 4 5 4 has full house: 4 5

• Three of a kind has three identical dice values.

  e.g. 3 4 5 5 5 has three of a kind: 5

• Two pair has two different sets of identical values.

  e.g. 4 5 2 5 2 has two pair: 5 2

• Two of a kind has two identical values.

  e.g. 6 3 4 2 6 has two of a kind: 6

• Anything else has a value of nothing.

  e.g. 5 3 6 1 2 has nothing

Sample Input	Sample Output
4 5 3 6 4	short straight: 3 4 5 6
6 3 2 3 2	two pair: 3 2
3 2 3 2 3	full house: 3 2
6 3 1 2 5	nothing
1 1 1 1 4	four of a kind: 1
2 8 5 2 5 5	Invalid 8, ignored. full house: 5 2