Where the selections are to compensate for deficiencies of school lands in fractional townships, such selections shall be made in accordance with the following principles of adjustment, to wit: For each township, or fractional township, containing a greater quantity of land than three-quarters of an entire township, one section; for a fractional township, containing a greater quantity of land than one-half, and not more than three-quarters of a township, three-quarters of a section; for a fractional township, containing a greater quantity of land than one-quarter, and not more than one-half of a township, one-half section; and for a fractional township containing a greater quantity of land than one entire section, and not more than one-quarter of a township, one-quarter section of land: Provided, That the States which are, or shall be entitled to both the sixteenth and thirty-sixth sections in place, shall have the right to select double the amounts named, to compensate for deficiencies of school land in fractional townships.