Здавейте някой има ли идея за алгоритъма на тази задача? От 2 дена я мисля, ако някой помогне с решението ще съм му задължен

Това което знам е че дати могат да се сравняват така: 

const d1 = new Date("2020-06-01")

const d2 = new Date("2020-06-15")

console.log(d1.getTime() < d2.getTime())

//true

Bike-renting   company   needs   an   algorithm,   which   calculates   the   price   based   on   periods.  
Write   a   function,   that   calculates   the   total   price,   based   on   the   following   parameters:  
  
1.  An  array  of  periods,  which  contains  starting  date,  ending  date,  date  when  the  period  was                 
added   and   price   for   that   period   
Example:  
[   
{price_per_day:   2   ,   from:   "2020-01-01   ",   to:   "2020-01-04",   added:   "2019-06-01"},  
{price_per_day:   60   ,   from:   "2020-01-03",   to:   "2020-01-08",   added:   "2019-06-02"},   
{price_per_day:   15   ,   from:   "2020-01-05",   to:   "2020-01-06",   added:   "2019-06-01"},  
{price_per_day:   150   ,   from:   "2020-01-08",   to:   "2020-01-15",   added:   "2019-06-15"},  
]   
 
2.   Starting   day   of   the   whole   rent   
Example:   "2020-06-01"  
  
3.   Ending   day   of   the   whole   rent  
Example:   "2020-06-15"   
 
4.   Default   price   per   day   
Example:   (5)  
  
Notes:  
*   If   there   is   no   "period"   for   a   certain   time   range   in   the   whole   period,   use   the   default   price;  
*   If   there   is   an   overlap   of   "periods",   use   the   one   that   is   added   later   (for   the   overlapped   dates);   
*  Periods  are  inclusive,  e.g.  {from:  "2020-01-01",  to:  "2020-01-03"}  means  "2020-01-01",            
"2020-01-02"   and   "2020-01-03".