1st and 3rd solution is Correct.
Let me make 2nd One Easy
King 1 Death -
1000 bottles
500 Bottles - 500 bottles
Grp A - Grp B
Make 2 Glasses for King pair in room 1
Glass 1 : Mix small portions from all bottles from Grp A ,
Class 2 : Mix small portions from all bottles from Grp B
If a King dies after drinking from Glass 1 then a bottle from Grp A has Halahal Else Grp B has venom bottle.
Place the surviving King with third one to make a new pair in 2nd room.
King 2 Death
Now Take Group of 500 bottles suspected of poison.
250 Bottles - 250 bottles
Grp A - Grp B
Make 2 Glasses for King pair in room 2
Glass 1 : Mix small portions from all bottles from Grp A
Class 2 : Mix small portions from all bottles from Grp B
Glass 3: Non poisonous liquor for Shtrayanaa (From the other 500 bottles group)
If a King dies after drinking from Glass 1 then a bottle from Grp A has Halahal Else Grp B has venom bottle.
Place the surviving King with fourth one to make a new pair in 3rd room.
Go on doing this
King 3 : 2 Groups of 125
King 4: 2 Groups of 64 - 61
King 5: 2 Groups Of 32
King 6: 2 Groups Of 16
King 7: 2 Groups Of 8
King 8: 2 Groups Of 4
King 9: 2 Groups Of 2
King 10: 2 Bottles
King 10 dies of the Halahal bottle. Dispose it.
Shatrayanaa Is SMART and has not wasted much wine from remaining 999 bottles.
markr wrote:1: The lawyer added a camel of his own to the mix, bringing the total to 20. This was now split 10, 5, 4, 1; so no camel has to be cut, and he got his own camel back.
2: Label each of the bottles from 1-1000 in binary. King N received a mixture containing 1/1000 of each of the bottles with a 1 in its Nth digit. If the king died, the bad bottle also had a 1 in the Nth digit. The Emperor was able to construct the 10-bit binary number of the bad bottle.
After the first day, he received a mixture from bottles that had 0 in the digits he already knew.
3: Damien hung himself by standing on a block of ice.