B _ R T _ _
_ S
T H _
M _ L _ .
B _ T H
A L B _ R T
_ N D
C _ D R _ C
_ R _
T _ L L _ N G
T H _
T R _ T H .
W H _ N
A L B _ R T
S _ _ D ,
" B _ R T _ _
_ S
_
M _ L _ , "
H _
W _ S
T _ L L _ N G
T H _
T R _ T H ,
_ N D
G _ V _ N G
T H _
C _ R R _ C T
_ N S W _ R .
W H _ N
B _ R T _ _
S _ _ D ,
" C _ D R _ C
_ S
_
M _ L _ , "
H _
W _ S
L Y _ N G ,
_ S
H _
H _ M S _ L F
_ S
_
L Y _ N G
M _ L _ .
W H _ N
C _ D R _ C
R _ S P _ N D _ D ,
" B _ R T _ _
_ S
L Y _ N G , "
H _
W _ S
T _ L L _ N G
T H _
T R _ T H ,
_ N D
_ L S _
_ F F _ R M _ N G
T H _ T
B _ R T _ _
W _ S
L Y _ N G Clue
BERTIE IS THE MOLE. BOTH ALBERT AND CEDRIC ARE TELLING THE TRUTH. WHEN ALBERT SAID, "BERTIE IS A MOLE," HE WAS TELLING THE TRUTH, AND GIVING THE CORRECT ANSWER. WHEN BERTIE SAID, "CEDRIC IS A MOLE," HE WAS LYING, AS HE HIMSELF IS A LYING MOLE. WHEN CEDRIC RESPONDED, "BERTIE IS LYING," HE WAS TELLING THE TRUTH, AND ALSO AFFIRMING THAT BERTIE WAS LYING THE SALESMAN IS A VISITOR AND HE IS TELLING THE TRUTH. IF THE WOMAN IS A VISITOR, AND ASKED IF SHE IS A VISITOR, SHE WILL ANSWER TRUTHFULLY: "YES". IF THE WOMAN IS A NATIVE, AND ASKED IF SHE IS A VISITOR, SHE WILL ANSWER FALSELY: "YES". IN EITHER CASE, THE WOMAN WILL ANSWER, "YES." SINCE THE SALESMAN DID NOT LIE, HE HAS TO BE A VISITOR TOM IS THE KILLER AND BILL SPOKE THE TRUTH. IF BILL WAS THE KILLER, BOTH TOM AND HARRY WILL BE TELLING THE TRUTH. IF HARRY WAS THE KILLER, NONE OF THE STATEMENTS WILL BE TRUE. IF MIKE WAS THE KILLER, NONE OF THE STATEMENTS WILL BE TRUE VINCE DID IT. JOYCE'S STATEMENTS 1 AND 3 MUST BE TRUE. IF SHE HAD BROKEN THE WINDOW, BOTH STATEMENTS WOULD HAVE BEEN FALSE. BUT SINCE EACH CHILD TOLD ONLY ONE LIE, THESE TWO STATEMENTS MUST BE TRUE. THEREFORE, JOYCE'S STATEMENT 2 IS THE ONE THAT IS FALSE. THE STATEMENT OF ALL THE OTHER CHILDREN CAN THEN BE PROVEN TRUE OR FALSE USING THIS INFORMATION. SINCE WE KNOW THAT JOYCE'S STATEMENT 2 IS FALSE, SALLY'S STATEMENT 1 AND MATT'S STATEMENT 1 HAVE TO BE FALSE. JOE'S STATEMENT 2 HAS TO BE FALSE, SINCE SALLY DID NOT TELL WHO DID IT. NOW WE ARE LEFT ONLY WITH VINCE