This is a relatively short guide on how to complete the "Rock Paper and Scissors" puzzle encountered in the "Peace Festival" section of the game.

The aim of the game is to beat the NPC in a game of Rock, Paper and Scissors in eight successive rounds. (a tied round still counts as a fail in this puzzle). You have unlimited attempts at this puzzle and the NPC will always choose the same sequence, however the NPC will only tell you if you won or not after inputting all eight guesses.

Since you would otherwise have a 1/6561 chance at guessing the correct combination, the NPC will provide you with eight clues on what sequence she will pick. You have to use your logic to work out what sequence the NPC will use, then input your sequence that will beat her choices.

Remember: the paper covers the rock, the scissors cut the paper, and the rock blunts the scissors!

I will detail how I reached the solution in the sections that follow, however if you just want the answer, just scroll down to the end of the walkthrough.

The clues you are given are:

1. I will make the same choice in Rounds 2 and 3
   
2. I will never make the same choice for more than twice in a row
   
3. I will make the same choice in rounds 1 and 4
   
4. My choice in round 5 will beat my choice in round 1
   
5. I will make the same choice in rounds 5 and 7
   
6. I will not pick paper in round 2 or in round 4
   
7. I will not pick rock in round 3 or round 8
   
8. I will pick paper less than I pick rock or scissors

Since you would normally only see these clues one at a time, it would be prudent to write them down in a notepad as you go along, (or do what I do and Alt+Tab out of the game and type them out in MS Notepad)

The first step is to look at the clues where the items will be the same for two sets (i.e. clues 1, 3 and 5). I labelled these pairs "A", "B" and "C"

1. B
   
2. A
   
3. A
   
4. B
   
5. C
   
6. 
   
7. C
   

At this point I don't know if A will be the same as B or C, or if B is the same as C until I take the other clues into account.

The second clue is I will never make the same choice for more than twice in a row. Immediately I know that A and B must be different to each other, because if they were the same, the first four choices would then be the same, which would be a violation of this clue.

By the same token, the 6th choice cannot be the same as C as that would be three C's in a row.

1. B, not A
   
2. A, not B
   
3. A, not B
   
4. B, not A
   
5. C
   
6. not C
   
7. C
   

The sixth clue tells us that the NPC will not pick paper in rounds 2 or 4, meaning that Paper will not be A or B. The seventh clue tells us that the NPC will not pick rock in rounds 3 or 8, meaning that rock will not be A. By process of elimination, A must therefore be scissors.

In addition, as we now know that B cannot be Paper and also that B cannot be A (and A is Scissors), the only other thing that B can be, is Rock.

1. Rock
   
2. Scissors
   
3. Scissors
   
4. Rock
   
5. C
   
6. not C
   
7. C
   
8. Not Rock

The fourth clue states that the NPC's choice in round 5 (C) will beat her choice in round 1. We know that round 1 is Rock, and Paper beats rock. Therefore C must be Paper.

1. Rock
   
2. Scissors
   
3. Scissors
   
4. Rock
   
5. Paper
   
6. not Paper
   
7. Paper
   
8. Not Rock

The final clue is I will pick paper less than I pick rock or scissors.

We know the positions of two rocks, two papers and two scissors and there's two mystery spots remaining. A third paper will violate the above clue, so the last two remaining spots must be one rock and one scissors.

Since the seventh clue rules out rock for the eighth round, the only other thing it could be is Scissors. And therefore the sixth must be Rock.

Looking at the list below we only have two papers, but we also have three rocks and three scissors, so that satisfies the eighth clue.

1. Rock
   
2. Scissors
   
3. Scissors
   
4. Rock
   
5. Paper
   
6. Rock
   
7. Paper
   
8. Scissors

Now that we know what the NPC will play in each round all that's left to do is create a combination that will beat the NPC's choice on every round.

1. Paper
   
2. Rock
   
3. Rock
   
4. Paper
   
5. Scissors
   
6. Paper
   
7. Scissors
   
8. Rock