PUBLIC LAWS-CH. 512-AUG. 7 , 1947 80 Stat. 92. 34U.S.C.. et seq. Ante, p. 738; poet, pp.867,877. Assignment of new rnnnng mate. Line selection boards. Promotion of run- ning mate. as his running mate the line officer whose numerical position in the order of lineal rank among the line lieutenants (junior grade) above described is equal, or nearest equal, to the product of the numerical position of the staff officer in his order of lineal rank in his corps and a fraction whose numerator is the number of such line officers and whose denominator is the number of such staff officers. When there is but one such staff officer, the running mate shall be the line officer whose lineal rank is nearest the middle of the line officers concerned: Pro- vided, That in any staff corps where officers may be originally appointed to the grade of lieutenant (junior grade) or ensign, all staff officers of that corps with dates of rank as lieutenants (junior grade) in the same calendar year shall, for the purpose of assignment of running mates, be regarded as having lineal rank in such order as may be recom- mended in the approved report of a board of officers convened for that purpose; such boards shall be convened as soon as practicable after December 31 of each year, shall be composed of officers of the corps concerned, and their recommendations when approved by the Secretary of the Navy shall be conclusive. (2) An officer appointed to a staff corps in a grade above lieutenant (junior grade) except one appointed pursuant to the Act of April 18, 1946 (Public Law 347, Seventy-ninth Congress), shall be assigned as his running mate the junior line officer of the same grade with the same date of rank, or if there be none, the junior line officer of the same grade with next earlier date of rank. (f) Notwithstanding the provisions of subsection (e) of this sec- tion, a line officer hereafter transferred to a staff corps in the grade of lieutenant (junior grade) or above shall, upon transfer, have assigned as his running mate the line officer immediately senior to him at the time of transfer. (g) Should the running mate of a staff officer be separated from the active list or for any cause lose numbers, a new running mate shall be assigned the staff officer who shall be the line officer who was next senior to the former running mate, or the line officer who was next junior if the former running mate was the senior officer in the grade concerned. (h) A staff officer selected for promotion shall, when promoted, have assigned as his running mate m the grade to which promoted, a line officer of the same grade whose name was placed upon the promo- tion list for that grade upon approval of the line selection board immediately preceding the Staff Corps selection board which selected the staff officer. Such line officer shall be the officer who was the running mate of the staff officer in the grade from which promoted if such running mate shall have been selected and promoted; other- wise, the new running mate shall be the line officer whose name was on the said promotion list and who shall have been selected and promoted next senior to the former running mate or, if there be no such line officer, the line officer who shall have been selected and pro- moted next junior to the former running mate. In the application of this subsection, if a board on selection for any staff corps and grade therein be not convened between the date of convening of two or more line selection boards for the same grade, the earliest of such boards shall be held as being the line selection board immediately preceding the staff board when convened. (i) Should the running mate of a staff officer be promoted to a higher grade and such staff officer be not so promoted, the latter shall have assigned as his running mate in the grade in which he remains the line officer of that grade who was next senior to the former running mate, or if there be none the line officer of that grade next junior to the former running mate. [61 STAT.