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Problem 1099. -- Ferry Loading

Ferry Loading

Time Limit: 2 Sec  Memory Limit: 64 MB
Submit: 23  Solved: 10
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Description

Ferries are used to transport cars across rivers and other bodies of water. Typically, ferries are wide enough to support two lanes of cars throughout their length. The two lanes of cars drive onto the ferry from one end, the ferry crosses the water, and the cars exit from the other end of the ferry. The cars waiting to board the ferry form a single queue, and the operator directs each car in turn to drive onto the port (left) or starboard (right) lane of the ferry so as to balance the load. Each car in the queue has a different length, which the operator estimates by inspecting the queue. Based on this inspection, the operator decides which side of the ferry each car should board, and boards as many cars as possible from the queue, subject to the length limit of the ferry. Write a program that will tell the operator which car to load on which side so as to maximize the number of cars loaded.

Input

The input begins with a single positive integer on a line by itself indicating the number of test cases, followed by a blank line. The first line of each test case contains a single integer between 1 and 100: the length of the ferry (in meters). For each car in the queue there is an additional line of input specifying the length of the car in cm, an integer between 100 and 3,000 inclusive. A final line of input contains the integer 0. The cars must be loaded in order, subject to the constraint that the total length of cars on either side does not exceed the length of the ferry. As many cars should be loaded as possible, starting with the first car in the queue and loading cars in order until the next car cannot be loaded. There is a blank line between each two consecutive inputs.

Output

For each test case, the output must follow the description below. The outputs of two consecutive cases
will be separated by a blank line.
The first line of outuput should give the number of cars that can be loaded onto the ferry. For each
car that can be loaded onto the ferry, in the order the cars appear in the input, output a line containing
‘port’ if the car is to be directed to the port side and ‘starboard’ if the car is to be directed to the
starboard side. If several arrangements of the cars meet the criteria above, any one will do

Sample Input

1

50
2500
3000
1000
1000
1500
700
800
0

Sample Output

6
port
starboard
starboard
port
port
starboard

HINT

Source

Waterloo local 1999.09.25

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