This terrible thief is at it again! 6 types of gems were stolen from a murder scene. There was 1 gem of the first type, 2 of the second type, 3 of the third type, 4 of the fourth type, 5 of the fifth type, and 6 of the sixth type.

From the information given below, can you tell how many gemstones of each kind were taken?

1.. Either there is one amethyst and six sapphires, or one sapphire and six amethysts.

2.. There are an even number of diamonds.

3.. There is either one more or one fewer emeralds than there are amethysts.

4.. There are an odd number of pearls and rubies.

5.. There are fewer pearls than diamonds.

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answers

Great job everyone! The count is: 1 amethyst, 2 emeralds, 3 pearls, 4 diamonds, 5 rubies, and 6 sapphires