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S H _ P Clue
SUNDAY. WHEN THE DAY AFTER TOMORROW IS YESTERDAY, TODAY WILL BE THREE DAYS HENCE, JUST AS WHEN THE DAY BEFORE YESTERDAY WAS TOMORROW CARRIES US BACK THREE DAYS FROM NOW, WHICH MUST BE SUNDAY, TO BE MIDWAY BETWEEN THE TWO "TODAYS". ALTERNATIVELY, WE CAN REPHRASE THE RIDDLE TO: IN 3 DAYS WE WILL BE AS FAR FROM SUNDAY AS WE WERE FROM SUNDAY 3 DAYS AGO SUNDAY IS THE ONLY DAY THAT SATISFIES THAT 15 SHIPS. AT THE MOMENT YOU TAKE OFF THERE WILL ALREADY BE 6 NEW YORK-LE HAVRE SHIPS ALREADY AT SEA, ONE DOCKING AT LE HAVRE AND ONE CASTING OFF AT NEW YORK. AT NOON OF EACH DAY OF THE VOYAGE A NEW SHIP WILL BE LAUNCHED. YOU MUST ENCOUNTER EVERY SHIP THAT WAS ALREADY AT SEA (6) AND EACH ONE THAT WAS LAUNCHED DURING YOUR VOYAGE (INCLUDING THE ONE THAT LAUNCHED AT THE SAME TIME YOU DID, SO 7 MORE). SO YOU WILL PASS 13 SHIPS AT SEA AND ALSO ENCOUNTER A SHIP THAT DOCKED AS YOU CAST OFF AND ANOTHER THAT CAST OFF AS YOU DOCKED. THE DIAGRAM BELOW WILL GIVE A CLEARER PICTURE. EACH GREEN DOT INDICATES AN ENCOUNTER WITH A SHIP IT WAS SPOKEN ON WEDNESDAY. "WHEN THE DAY AFTER TOMORROW BECOMES YESTERDAY", LET THE DAY BE (A). LET "TWO DAYS AFTER THAT DAY" BE (B). (A) AND (B) ARE TWO DAYS APART AND EQUALLY FAR FROM SUNDAY, SO THEY MUST BE SATURDAY AND MONDAY, MEANING THE ORIGINAL DAY WAS WEDNESDAY BRUCE TAKES 9 OF HIS 10 CIGARETTE BUTTS AND TURNS THEM INTO 3 CIGARETTES TOTAL (3 CIGARETTE BUTTS CAN BE TURNED INTO 1 CIGARETTE). HE SMOKES ALL THREE OF THESE, AND NOW HE HAS 4 CIGARETTE BUTTS. HE THEN TURNS 3 OF THE 4 CIGARETTE BUTTS INTO ANOTHER CIGARETTE AND SMOKES IT. HE HAS NOW SMOKED 4 CIGARETTES AND HAS 2 CIGARETTE BUTTS. AND FINALLY HE GOES AND BORROWS ONE OF TOM'S CIGARETTE BUTTS. WITH THIS CIGARETTE BUTT PLUS THE 2 HE ALREADY HAS, HE IS ABLE TO MAKE HIS 5TH CIGARETTE TO SMOKE. AFTER SMOKING IT, HE IS LEFT WITH 1 CIGARETTE BUTT, WHICH HE PUTS BACK IN TOM'S PILE SO THAT TOM WON'T FIND ANYTHING MISSING