gistfile1.txt

import java.util.ArrayList;
import java.util.Collections;

/**
 * Created by melisa on 26.03.14.
 */
public class p18 {

    public static void main(String[] args) {

        int[][] input = new int[][]{
                {75},
                {95, 64},
                {17, 47, 82},
                {18, 35, 87, 10},
                {20, 04, 82, 47, 65},
                {19, 01, 23, 75, 03, 34},
                {88, 02, 77, 73, 07, 63, 67},
                {99, 65, 04, 28, 06, 16, 70, 92},
                {41, 41, 26, 56, 83, 40, 80, 70, 33},
                {41, 48, 72, 33, 47, 32, 37, 16, 94, 29},
                {53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14},
                {70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57},
                {91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48},
                {63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31},
                {04, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23}};

        ArrayList<Integer> sums = new ArrayList<Integer>();

        int sum = 0;

        for (int i=0; i<15; i++) {
        
          sum = maxsumat(input.length, i);


        }


        System.out.println(Collections.max(sums));


    }


    public static int getNumberAt(int row, int col) {

        if (col > row || col < 0 || row < 0) {

            return -1;

        } else return (row * (row + 1) / 2 + col);

    }

    public static int maxSumAt(int row, int col) {

        int maxsum = 0;

        if (row > 0 && col < row) {

            int sum1 = maxSumAt(row - 1, col);
            int sum2 = maxSumAt(row - 1, col - 1);

            maxsum = Math.max(sum1, sum2) + getNumberAt(row, col);

        } else if (row == 0) 
            maxsum = getNumberAt(row, col);
        else maxsum = -1;

        return maxsum;

    }


}