Figure 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 greater than 1 but less or equal 100.
- The numbers in the triangle, all integers, are between 0 and 99.
First given the number of rows in triangle. Next rows describe the triangle itself.
Print the maximum sum from top to the base of triangle.
5 7 3 8 8 1 0 2 7 4 4 4 5 2 6 5