The network configuration for routers R1 and R10 includes two valid flex-algo definitions based on the provided parameters. R1 has a flex-algo definition called 'Best-effort-traffic' which uses te-metric as the link metric and includes blue links. R10 has a flex-algo definition called 'Real-time-traffic' which uses delay as the link metric and includes green links. Both definitions are administratively enabled and have all required parameters specified, making them both valid.