IOI'94 - Day 1 - Problem 1: The Triangle
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5 (Figure 1)
Figure 1 shows a number triangle.
Write a program that calculates the highest sum of numbers passed
on a route that starts at the top and ends somewhere on the base.
- Each step can go either diagonally down to the left or diagonally
down to the right.
- The number of rows in the triangle is >1 but <=100.
- The numbers in the triangle, all integers, are between 0 and 99.
Input Data
Data about the number of rows in the triangle are first read from
the INPUT.TXT file.
In our example, INPUT.TXT appears as follows:
5
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5
Output Data
The highest sum is written as an integer in the OUTPUT.TXT file.
In our example:
30