A doctor is located at X and his hospital is located at Y. There is no straight lane from the doctor’s house to the hospital. So, the doctor first goes to A which is 800 m due east of X, then goes to B which is 300 m due north of A, then to C which is 150 m due west of B and finally reaches the hospital at Y which is 100 m due north of C. With respect to the doctor's house the correct direction of the hospital is

1
north-east
2
north-west
3
south-east
4
south-west

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