Mahjong Hands
Output: Standard Output (stdout)
Memory limit: 64 megabytes
Time limit: 1.0 seconds
Mahjong is a game played with tiles. Each tile is numbered from 1 to 9, and belongs to one of three suits, PIN, BAMBOO, or CHARACTER. There are 4 tiles for each number and suit combination (so 9 \times 3 \times 4 = 108 tiles in total).
Tiles of the same suit can be formed into tile groups. Three tiles of the same suit and number is called a SET. Three tiles of the same suit in consecutive numbering is called a STRAIGHT. For example, three tiles of the PIN suit with the numbers 4, 5, 6 would be a valid tile group because it is a STRAIGHT.
When forming tile groups, the same tile cannot be used in more than one tile group. For example, four tiles of the PIN suit with the numbers 4, 5, 6, 7 would not count as two tile groups, but can only be formed into one tile group with one tile remaining unused.
A Mahjong hand contains 14 tiles. A hand is COMPLETE if the tiles can be formed into 4 tile groups as well as a remaining pair of identical tiles (that is, they have the same suit and number). However, to win a game of Mahjong, your hand must not only be COMPLETE, but must also satisfy a win condition. A Mahjong hand is SIMPLE if it contains no tiles numbered 1 and no tiles numbered 9. You win if your hand is both COMPLETE and SIMPLE.
Your job is to figure out whether a Mahjong hand is COMPLETE or SIMPLE or both.
Input
The first line will contain three spaceseparated integers, the number of PIN, BAMBOO, and CHARACTER tiles. The total number of tiles will always be equal to 14.
The second line will contain a sorted list of spaceseparated integers denoting the numbers on the PIN tiles.
The third line will contain a sorted list of spaceseparated integers denoting the numbers on the BAMBOO tiles.
The fourth line will contain a sorted list of spaceseparated integers denoting the numbers on the CHARACTER tiles.
Each list of tile numbers will appear in sorted order.
Output
Print out:
 WIN if the hand is simple and also complete.
 COMPLETE if the hand is complete but not simple.
 SIMPLE if the hand is simple but not complete.
 SAD if the hand is not simple or complete.
Subtasks
 Subtask 1 (10%): No tiles have the same suit and number.
 Subtask 2 (20%): Each suit contains 3 tiles numbered 1, with the remaining 5 tiles being numbered 2.
 Subtask 3 (30%): There are only 2 tiles in the PIN suit and they are the same number. Also, there are at most 9 tiles in a suit.
 Subtask 4 (40%): No constraints.
Explanation
In sample case 1, the PIN tiles form a straight (2, 3, 4) and the CHARACTER tiles form three SETs (2, 2, 2 and 3, 3, 3 and 4, 4, 4) and a pair (5, 5) which means the hand is COMPLETE. Since there are no tiles numbered 1 or 9, the hand is also SIMPLE. Since the hand is COMPLETE and SIMPLE, we WIN.
Alternatively, the CHARACTER tiles could form three STRAIGHTs instead of three SETs (2, 3, 4 and 2, 3, 4 and 2, 3, 4).
In sample case 2, it is impossible to form 4 tile groups with a remaining pair of identical tiles. The hand is also not SIMPLE as there are tiles numbered 1 (in the PIN suit).

Sample Input 1
3 0 11 2 3 4 2 2 2 3 3 3 4 4 4 5 5
Sample Output 1
WIN

Sample Input 2
3 3 8 1 1 1 2 2 2 3 3 3 4 5 6 7 9
Sample Output 2
SAD