please help code this in c++ and follow format, the assignment starts below the dashed line

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• Test each step as you go by entering at least three pairs of values. More values would be better.

(1)

• Write a program that consists of a while-loop that reads in one double each time around
• Each time through the loop write out the value entered
• Define two variables to keep track of which is the smallest and which is the largest value you have seen so far
• If its the smallest or tied for the smallest so far, write The smallest so far after the number.
• If it is the largest or tied for the largest so far, write The largest so far after the number.
• Exit the program when a terminating '|' is entered.

(2)

• Add a unit to each double entered; that is, enter values such as 10cm, 2.5in, 5ft, or 3.33m.
• Accept the four units: cm, m, in, ft. Assume conversion factors 1m == 100cm, 1in == 2.54cm, 1ft == 12in.
• Read the unit indicator into a string. You may consider 12 m (with a space between the number and the unit) equivalent to 12m (without a space). Keep in mind that cin will read them the same way.
• After converting, each time through the loop write out the value entered in meters

(3)

• Reject values without units or with illegal representations of units, such as y, yard, meter, km, and gallons.
• In this case, output ```Invalid unit " and exit the program

(4)

• Keep track of the sum of values entered (as well as the smallest and the largest) and the number of values entered.
• When the loop ends, print
  • the smallest
  • the largest
  • the number of values
  • the sum of values.
  • Note that to keep the sum, you have to decide on a unit to use for that sum; use meters.

(5)

• Keep all the values entered (converted into meters) in a vector. At the end, write out those values.

(6)

• Before writing out the values from the vector, sort them (that will make them come out in increasing order).

Sample execution:

1.5m 1.5m The smallest so far The largest so far 1.5cm 0.015m The smallest so far 1.5in 0.0381m 1.5ft 0.4572m Smallest: 0.015, largest: 1.5, total: 2.0103 Values: 0.015 0.0381 0.4572 1.5