[...] they jostled to formally enter the country so they could quickly leave it, heading toward more prosperous European Union nations on a desperate quest to escape war and poverty. In Roszke, a Hungarian border town, police used tear gas to break up a brief scuffle involving about 200 migrants requesting asylum, mostly from Syria, Iraq and Afghanistan. [...] the Hungarian border fence — which is being hastily built to keep the migrants out — consists of three layers of razor wire along the country’s 109-mile border with Serbia. An old blanket was thrown over it at one spot to cover the razor wire, a hole was dug under it elsewhere. The migrants’ goal is to cross without being spotted by Hungarian border police so they will not be detained and sent to Hungarian asylum centers, where they are fingerprinted.