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import java.util.ArrayList;
class Summations{
public static ArrayList skipSummations(int[] numbers){
ArrayList lines = new ArrayList();
lines.add(numbers);
for(int i = 0; i < numbers.length; i++){
int[] line = (int[]) lines.get(lines.size() - 1);
int[] skip = new int[line.length - 1];
int[] skip_summation = new int[skip.length];
for(int j = 1; j < line.length; j++){
skip[j - 1] = line[j];
}
for(int j = 0; j < skip.length; j++){
int sum_previous = 0;
for(int k = 0; k < j; k++){
sum_previous += skip[k];
}
skip_summation[j] = skip[j] + sum_previous;
}
lines.add(skip_summation);
}
return lines;
}
public static void main(String[] args){
ArrayList lines;
lines = Summations.skipSummations(new int[]{1, 2, 3, 4, 5});
for(int i = 0; i < lines.size(); i++){
int[] line = (int[]) lines.get(i);
for(int j = 0; j < line.length; j++){
System.out.print(line[j]);
System.out.print(" ");
}
System.out.print("\n");
}
lines = Summations.skipSummations(new int[]{1, 3, 5, 7, 9});
for(int i = 0; i < lines.size(); i++){
int[] line = (int[]) lines.get(i);
for(int j = 0; j < line.length; j++){
System.out.print(line[j]);
System.out.print(" ");
}
System.out.print("\n");
}
}
}
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