If the sum of northing of a traverse exceeds the sum of southing by 1 m and sum of easting exceeds the sum of westings by 1 m, the resultant closing error and its true
bearing are respectively

A

$$\sqrt{2} m,N 45^\circ E$$

B

$$1 m,N 45^\circ E$$

C

$${2} m,N 45^\circ W$$

D

$${2} m,N 45^\circ E$$