A building consists of certain number of floors. The bottommost floor is numbered as 1, the floor above it as 2 and so on. Each floor consists of three flats 1, 2 and 3 such that flat 2 of each floor is to the west of flat 3 and to the east of flat 1.
The information about only few persons is known.
The floor and the flat number of G is the same.
Floor 4 | | | | | | | | | |
Floor 3 | | | | | | | | | G |
Floor 2 | | | | | G | | | | |
Floor 1 | G | | | | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
F, G and J live on the consecutive floors where none of them lives in the same flat number.
I lives to the west of A and B.
B lives immediate below C and both live in an even numbered flat.
A lives immediate above F's floor.
| Case 1 | | | Case 1a | | |
Floor 7 | | | | | | |
Floor 6 | | | | | | |
Floor 5 | | C | | | C | |
Floor 4 | I | B | A | I | B | A |
Floor 3 | | F | | | | F |
Floor 2 | | | J | | J | |
Floor 1 | G | | | G | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
| Case 2 | | | Case 2a | | | Case 2b | | | Case 2c | | |
Floor 7 | | | | | | | | | | | | |
Floor 6 | | | | | C | | | | | | C | |
Floor 5 | | C | | I | B | A | | C | | I | B | A |
Floor 4 | I | B | A | F | | | I | B | A | | | F |
Floor 3 | F | | | | | J | | | F | J | | |
Floor 2 | | G | | | G | | | G | | | G | |
Floor 1 | | | J | | | | J | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
| Case 3 | | | Case 3a | | | Case 3b | | | Case 3c | | |
Floor 7 | | | | | C | | | | | | C | |
Floor 6 | | C | | I | B | A | | C | | I | B | A |
Floor 5 | I | B | A | F | | | I | B | A | | F | |
Floor 4 | F | | | | J | | | F | | J | | |
Floor 3 | | | G | | | G | | | G | | | G |
Floor 2 | | J | | | | | J | | | | | |
Floor 1 | | | | | | | | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
There is only one floor above E, who lives in flat 1. There are five floors between the floors of A and E.
| Case 1 | | | Case 1a | | |
Floor 11 | | | | | | |
Floor 10 | E | | | E | | |
Floor 9 | | | | | | |
Floor 8 | | | | | | |
Floor 7 | | | | | | |
Floor 6 | | | | | | |
Floor 5 | | C | | | C | |
Floor 4 | I | B | A | I | B | A |
Floor 3 | | F | | | | F |
Floor 2 | | | J | | J | |
Floor 1 | G | | | G | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
| Case 2 | | | Case 2a | | | Case 2b | | | Case 2c | | |
Floor 12 | ---- | ---- | ---- | | | | ----- | ---- | --- | | | |
Floor 11 | | | | E | | | | | | E | | |
Floor 10 | E | | | | | | E | | | | | |
Floor 9 | | | | | | | | | | | | |
Floor 8 | | | | | | | | | | | | |
Floor 7 | | | | | | | | | | | | |
Floor 6 | | | | | C | | | | | | C | |
Floor 5 | | C | | I | B | A | | C | | I | B | A |
Floor 4 | I | B | A | F | | | I | B | A | | | F |
Floor 3 | F | | | | | J | | | F | J | | |
Floor 2 | | G | | | G | | | G | | | G | |
Floor 1 | | | J | | | | J | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
| Case 3 | | | Case 3a | | | Case 3b | | | Case 3c | | |
Floor 13 | ----- | ---- | --- | | | | ----- | ---- | --- | | | |
Floor 12 | | | | E | | | | | | E | | |
Floor 11 | E | | | | | | E | | | | | |
Floor 10 | | | | | | | | | | | | |
Floor 9 | | | | | | | | | | | | |
Floor 8 | | | | | | | | | | | | |
Floor 7 | | | | | C | | | | | | C | |
Floor 6 | | C | | I | B | A | | C | | I | B | A |
Floor 5 | I | B | A | F | | | I | B | A | | F | |
Floor 4 | F | | | | J | | | F | | J | | |
Floor 3 | | | G | | | G | | | G | | | G |
Floor 2 | | J | | | | | J | | | | | |
Floor 1 | | | | | | | | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
The total number of floors in a building is a composite number.
Thus, cases 1, 1a, 2, 2b, 3, 3a, 3b and 3c are invalid.
| Case 2a | | | Case 2c | | |
Floor 12 | | | | | | |
Floor 11 | E | | | E | | |
Floor 10 | | | | | | |
Floor 9 | | | | | | |
Floor 8 | | | | | | |
Floor 7 | | | | | | |
Floor 6 | | C | | | C | |
Floor 5 | I | B | A | I | B | A |
Floor 4 | F | | | | | F |
Floor 3 | | | J | J | | |
Floor 2 | | G | | | G | |
Floor 1 | | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
D lives on one of the floors between C and G. Neither C nor J lives in the same flat as D.
| Case 2a | | | Case 2c | | |
Floor 12 | | | | | | |
Floor 11 | E | | | E | | |
Floor 10 | | | | | | |
Floor 9 | | | | | | |
Floor 8 | | | | | | |
Floor 7 | | | | | | |
Floor 6 | | C | | | C | |
Floor 5 | I | B | A | I | B | A |
Floor 4 | F | | | | | F |
Floor 3 | D | | J | J | | D |
Floor 2 | | G | | | G | |
Floor 1 | | | | | | |
| Flat 1 | Flat 2 | Flat 3 | Flat 1 | Flat 2 | Flat 3 |
Not more than three persons live in Flat 1 in the building.
So, case 2a is invalid.
Therefore, the final arrangement is:
Floor 12 | | | |
Floor 11 | E | | |
Floor 10 | | | |
Floor 9 | | | |
Floor 8 | | | |
Floor 7 | | | |
Floor 6 | | C | |
Floor 5 | I | B | A |
Floor 4 | | | F |
Floor 3 | J | | D |
Floor 2 | | G | |
Floor 1 | | | |
| Flat 1 | Flat 2 | Flat 3 |
Only C and E live above the 5th floor.