Using Python programming, solve the following problem. Originally in french, just written in english for better understanding. The officials of the French hospital in Haiti, Port$-$au$-$Prince, are overloaded with work following the cyclone. The concern is the influx of injured and sick individuals, prompting a reorganization of the medical and assistance teams' schedules. Upon initial analysis, the workday appears to be divided into twelve two$-$hour segments. The staffing needs vary from one time slot to another. For instance, fewer personnel are required during the night, whereas mornings necessitate a higher demand due to medical care. The estimated personnel needs for each time slot are summarized in the following table:Estimated Staffing Needs by Time SlotsKnowing that transportation means are crucial, and unsure if they are accessible or not, it is important to determine how many people are required to ensure all services. However, keep in mind that hospital staff can only work $8$ hours a day and are entitled to a $2-$hour break every $4$ hours. Visualizing the "smoothing" of staff from one time slot to another could help understand and solve the problem. Modeling it could provide insight into the number of people needed for the hospital's requirements.