1118 - Computers
Time Limit : 1 Second
Memory Limit : 128 MB
Submission: 10
Solved: 4
- Description
- Everybody is fond of computers, but buying a new one is always a money challenge.
Fortunately, there is always a convenient way to deal with. You can replace your computer and
get a brand new one, thus saving some maintenance cost. Of course, you must pay a fixed cost
for each new computer you get.
Suppose you are considering a n year period over which you want to have a computer.
Suppose you buy a new computer in year y, 1<=y<=n. Then you have to pay a fixed cost c, in
the year y, and a maintenance cost m(y,z) each year you own that computer, starting from
year y through the year z, z<=n, when you plan to buy - eventually - another computer.
Write a program that computes the minimum cost of having a computer over the n year
period.
- Input
- The program input is from a text file. Each data set in the file stands for a particular set of
costs. A data set starts with the cost c for getting a new computer. Follows the number n of
years, and the maintenance costs m(y,z), y=1..n, z=y..n. The program prints the minimum
cost of having a computer throughout the n year period.
- Output
- White spaces can occur freely in the input. The input data are correct and terminate with
an end of file. For each set of data the program prints the result to the standard output from the
beginning of a line. An input/output sample is in the table below. There is a single data set. The
cost for getting a new computer is c=3. The time period n is n=3 years, and the maintenance
costs are:
• For the first computer, which is certainly bought: m(1,1)=5, m(1,2)=7, m(1,3)=50,
• For the second computer, in the event the current computer is replaced: m(2,2)=6,
m(2,3)=8
• For the third computer, in the event the current computer is replaced: m(3,3)=10.
The result for the data set is the minimum cost 19. - sample input
-
3 3 5 7 50 6 8 10
- sample output
-
19
- hint
- source
- Southeastern European Regional Programming Contest Bucharest, Romania October 27, 2007