Post Office#1808
Other than postcards, some countries' post offices recognize three categories of mailable items: letters, packets, and parcels. The three dimensions of a mailable item are called length, height, and thickness, with length being the largest and thickness the smallest of the three dimensions.
A letter's length must be at least mm but not more than mm, its height at least mm but not more than mm, and its thickness at least mm but not more than mm. (The millimeter unit is abbreviated as mm.)
All three of a packet's dimensions must be greater than or equal to the corresponding minimum dimension for a letter, and at least one of its dimensions must exceed the corresponding maximum for a letter. Furthermore, a packet's length must not exceed mm, its height must not exceed mm, and its thickness must not exceed mm.
All three of a parcel's dimensions must be greater than or equal to the corresponding minimum for a letter, and at least one of its dimensions must exceed the corresponding maximum for a packet. Furthermore, the parcel's combined length and girth must not exceed mm. (Girth is the full perimeter measured around the parcel, perpendicular to the length.)
The input contains several problem instances. For each instance, the input consists of the three dimensions (in mm) of an item, given in any order. The length and height are positive integers. The thickness is either a positive integer or a positive floating point number. The input ends with a line containing three zeros.
For each problem instance, your program should classify the item as letter, packet, parcel, or not mailable. This classification is printed at the beginning of a new line, in lower case letters.
Example 1