A lawn sprinkling system is controlled automatically by certain combination of following variables: $[10]$ Season$($S$-1$ during summer. O during winter$)$ Temperature $($T$-1$ if high: $0$ if low$)$ Atmospheric humidity $($H$=1$ if high: $0$ if low$)$ Moisture content of the soil $($M$=1$ if high: $0$ if low$)$ The sprinkler is turned ON under the following circumstances: $($i$)$ The moisture content is low in winter $($ii$)$ Temperature is high and moisture content low in summer. $($ iii$)$ Temperature is high and humidity is high in summer $($iv$)$ Temperature is low and moisture content is low in summer. $($v$)$ Temperature is high and humidity is low. design a logic gate uskng $2$ input gates