we are trying to migrate our environment from replica set to sharded cluster and we cannot take any downtime. So as per the research i did i used mongo dump and restore for initial sync and then i am running mongooplog.

But while running oplog i am getting error:
errmsg: "applyOps not allowed through mongos"

Please let me know is there a work around for this or if there is any other method for real time migration. Our data set is 350gb and our operation are 1000update per second and 10 insert per second.