ence ▁between ▁A ▁and ▁B ▁that ▁is ▁strictly ▁increasing . ▁Initial ly ▁no ▁member ▁of ▁A ▁is ▁pa ired ▁with ▁any ▁member ▁of ▁B . ▁▁ ▁( 1 ) ▁Let ▁i ▁be ▁the ▁smallest ▁index ▁such ▁that ▁ai ▁is ▁not ▁yet ▁pa ired ▁with ▁any ▁member ▁of ▁B . ▁Let ▁j ▁be ▁some ▁index ▁such ▁that ▁b j ▁is ▁not ▁yet ▁pa ired ▁with ▁any ▁member ▁of ▁A ▁and ▁ai ▁can ▁be ▁pa ired ▁with ▁b j ▁consist ently ▁with ▁the ▁requirement ▁that ▁the ▁pair ing ▁be ▁strictly ▁increasing . ▁P air ▁ai ▁with ▁b j . ▁▁ ▁( 2 ) ▁Let ▁j ▁be ▁the ▁smallest ▁index ▁such ▁that ▁b j ▁is ▁not ▁yet ▁pa ired ▁with ▁any ▁member ▁of ▁A . ▁Let ▁i ▁be ▁some ▁index ▁such ▁that ▁ai ▁is ▁not ▁yet ▁pa ired ▁with ▁any ▁member ▁of ▁B ▁and ▁b j ▁can ▁be ▁pa ired ▁with ▁ai ▁consist ently ▁with ▁the ▁requirement ▁that ▁the ▁pair ing ▁be ▁strictly ▁increasing . ▁P air ▁b j ▁with ▁ai . ▁▁ ▁( 3 ) ▁Go ▁back ▁to ▁step ▁( 1 ). ▁ ▁It ▁still ▁has ▁to ▁be ▁checked ▁that ▁the ▁choice ▁required ▁in ▁step ▁( 1 ) ▁and ▁( 2 ) ▁can ▁actually ▁be ▁made ▁in ▁accord ance ▁to ▁the ▁requirements . ▁Using ▁step ▁( 1 ) ▁as ▁an ▁example : ▁ ▁If ▁there ▁are ▁already ▁ap ▁and ▁a q ▁in ▁A ▁corresponding ▁to ▁b p ▁and ▁b q ▁in ▁B ▁respectively ▁such ▁that ▁ap ▁< ▁ai ▁< ▁a q ▁and ▁b p ▁<