AMS-CPT(1)-VFA(2)-JNB(3)-DEL(4)-PEK(5)-HKG(6)-NRT(7)-SIN(8)-SYD(9)-CHC(10)-SCL(11)-PUQ(12)-EZE(13)-GIG(14)-AMS(15)

By my count I only have 15 segments. My understanding is the number of segments is based on stopover cities only. All the other cities mentioned in the original post were connections (marked with an x). I added this information in because I found finding valid OW routes kind of difficult in certain cases (e.g. No flights from South Africa to India) and was looking for suggestions on routing improvements.