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P _ _ S _ N _ _ S Clue
TAKE ANY SIX PILLS AND DIVIDE THEM INTO TWO GROUPS OF THREE EACH. WEIGH PUTTING THE 3 PILLS ON EACH SIDE. IF ONE SIDE WEIGH'S HEAVIER THAN ANOTHER, THE HEAVIER SIDE CONSISTS OF THE POISONOUS PILL. FROM THE THREE PILL IN HEAVIER SIDE, WEIGH TWO PILLS. IF ONE PILL IS HEAVIER THAN ANOTHER, THE HEAVY ONE IS POISONOUS PILL. IF BOTH PILL WEIGH SAME, THE REMAINING THIRD PILL IS POISONOUS. IF ALL THE 6 PILL WEIGH THE SAME, WEIGH THE REMAINING TWO PILL AND HEAVY ONE IS POISONOUS SPLIT THE PILLS INTO 3 GROUPS - 2 GROUPS WITH 3 PILLS EACH AND 1 GROUP WITH 2 PILLS. NOW PUT THE 2 GROUPS OF 3 PILLS ON THE SCALE. SCENARIO #1: BOTH GROUPS WEIGH THE SAME. THIS MEANS THAT THE POISONOUS PILL IS IN THE GROUP WITH 2 PILLS. SO TAKE THE 2 PILLS FROM THAT GROUP AND USE THE SCALE TO DETERMINE THE POISONOUS PILL. SCENARIO #2: ONE GROUP WEIGHS MORE THAN THE OTHER. TAKE ANY 2 PILLS FROM THIS GROUP OF 3 PILLS. IF THEY WEIGH THE SAME, THEN THE 3RD PILL IS THE POISONOUS PILL. IF THEY DON'T WEIGH THE SAME, THEN THE HEAVIER ONE IS OBVIOUSLY THE POISONOUS PILL SPLIT THE MARBLES INTO 3 GROUPS WITH 4 MARBLES EACH. PICK 2 GROUPS AND USE THE SCALE TO DETERMINE WHICH GROUP CONTAINS THE HEAVIER MARBLE. IF THE 2 GROUPS WEIGH THE SAME, THE HEAVIER MARBLE IS IN THE 3RD GROUP. ONCE THE GROUP IS DETERMINED, SPLIT THE MARBLES INTO 2 GROUPS WITH 2 MARBLES EACH. USE THE SCALE TO DETERMINE THE GROUP THAT CONTAINS THE HEAVIER MARBLE. LASTLY, USE THE SCALE TO WEIGH THE 2 REMAINING MARBLES TO DETERMINE THE HEAVIER MARBLE TAKE 1 PILL FROM THE FIRST BOTTLE, 2 PILLS FROM THE SECOND BOTTLE, 3 PILLS FROM THE THIRD BOTTLE, AND SO ON. IDEALLY, YOU WILL HAVE 55 PILLS WEIGHING 55 GRAMS - BASED ON A WEIGHT OF 1 GRAM PER PILL. THE DEVIATION FROM 55 GRAMS WOULD TELL YOU WHICH BOTTLE CONTAINS THE HEAVY PILLS. IF IT IS 0.1 GRAM MORE, IT IS THE 1ST BOTTLE WHICH HAS THE HEAVY PILLS. IF IT IS 0.2 GRAMS MORE, THE 2ND BOTTLE HAS THE HEAVY PILLS. IF IT IS 0.3 GRAMS MORE, THE 3RD BOTTLE HAS THE HEAVY PILLS. IF IT IS 1 GRAM MORE, THEN THE 10TH BOTTLE HAS THE HEAVY PILLS