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How to represent a triangle of integers?

This section discusses a "specific programming problem" from On-Topic

I am working on an interview question from Interview with Amazon Software
Question: "Given the triangle of integers, find the path of the largest amount without gaps."

My question is: how do you represent the triangle of integers?

I looked at the Triangle of Integers and saw that the triangle of integers looks something like

1
2      3
4      5      6
7      8      9      10
11     12     13     14     15

What is the best way (data structure) to present something like this? My idea was something like

int[] r1 = {1};
int[] r2 = {2, 3};
int[] r3 = {4, 5, 6};
int[] r4 = {7, 8, 9, 10};
int[] r5 = {11, 12, 13, 14, 15};

? 2- , .

+4
4

:

int triangular(int row){
 return row * (row + 1) / 2 + 1;
}

int[] r = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15};
for(int i=0; i<n_rows; i++){
 for(int j=0; j<=i; j++){
  System.out.print(r[triangular(i)+j]+" ");
 }System.out.println("");
}

row, column
if row>column:
 index=triangular(row)+column

. .

+1

, .

.

Java ; .

int[][] triangle = {{1}, 
                    {2, 3},
                    {4, 5, 6},
                    {7, 8, 9, 10},
                    {11, 12, 13, 14, 15}};

, .

+2

2D- . 0 . , . , .

int[][] array =
{
    { 0, 0, 0, 0, 0, 0, 0 },
    { 0, 1, 0, 0, 0, 0, 0 },
    { 0, 2, 3, 0, 0, 0, 0 },
    { 0, 4, 5, 6, 0, 0, 0 },
    { 0, 7, 8, 9,10, 0, 0 },
    { 0,11,12,13,14,15, 0 },
    { 0, 0, 0, 0, 0, 0, 0 }
};
+1

! r ( 0) :

r * (r + 1) / 2 + 1
0

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