Assignment #2 Consider the following 20x20 grid of integers

Assignment #2
Consider the following 20x20 grid of integers:
8 2 22 97 38 15 0 40 0 75 4 5 7 78 52 12 50 77 91 8
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 4 56 62 0
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 3 49 13 36 65
52 70 95 23 4 60 11 42 69 24 68 56 1 32 56 71 37 2 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 3 45 2 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 2 62 12 20 95 63 94 39 63 8 40 91 66 49 94 21
24 55 58 5 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 9 75 0 76 44 20 45 35 14 0 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 3 80 4 62 16 14 9 53 56 92
16 39 5 42 96 35 31 47 55 58 88 24 0 17 54 24 36 29 85 57
86 56 0 48 35 71 89 7 5 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 5 94 47 69 28 73 92 13 86 52 17 77 4 89 55 40
4 52 8 83 97 35 99 16 7 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 3 46 33 67 46 55 12 32 63 93 53 69
4 42 16 73 38 25 39 11 24 94 72 18 8 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 4 36 16
20 73 35 29 78 31 90 1 74 31 49 71 48 86 81 16 23 57 5 54
1 70 54 71 83 51 54 69 16 92 33 48 61 43 52 1 89 19 67 48
Note that four of the integers in a single row are marked in red. The sum of these four integers is: 20 + 95 + 63
+ 94 = 272. What is the greatest sum of four adjacent integers in the horizontal direction in the 20x20 grid?
Your task:
Write a Java program that answers the question asked above. Your program should only display the greatest
sum; that is, the output generated by your program should be a single integer (on its own line) representing the
greatest sum.
Requirements:
(1) Submit a single .java source file.
(2) You must read the input from standard input (stdin). The format of the input will be a single line of
400 integers, each separated by a space. You must store the integers in an array.
(3) Display only the greatest sum (to stdout on its own line).
(4) Even though the input is provided as a single line, consider the integers in a 20x20 grid as described
above. Calculate the greatest sum in the entire grid of four adjacent integers in the horizontal direction
without wrapping around to the next row! Note that the four integers marked in blue in the grid above
do not constitute a valid sum because they are not in the same row.
Hints:
(1) Use a Scanner.
(2) The method nextInt() of the class Scanner will help a lot.
(3) Consider calculating the row and column (in the grid) of the integers as they are being processed.