Let's call a rectangular matrix monotonous if in every row and every column each element is greater than the previous one (ai,j < ai + 1,j and ai,j < ai,j + 1). Given four ints - n, m, row and col - return a monotonous rectangular matrix with n rows and m columns which contains all integers between 0 and (n*m - 1) as elements, and the element (row, col) is as small as possible. All indices are 0-based. If there are several solutions, return the lexicographically smallest (see notes). For example, if n = 4, m = 5, row = 3 and col = 3, the matrix is:
0 1 2 3 16 4 5 6 7 17 8 9 10 11 18 12 13 14 15 19
Return the matrix as a String[] where the i-th element represents the i-th row. Each row should be represented as a single space separated list of the values within the row.
Class: MatrixConstructor Method: construct Parameters: int, int, int, int Returns: String[] Method signature: String[] construct(int n, int m, int row, int col) (be sure your method is public)
The rectangular nxm matrix A is lexicographically smaller than the matrix B if and and only if the vector (A0,0, A0,1, ..., A0,m-1, A1,0, A1,1, ..., A1,m-1, ..., An-1,0, An-1,1, ..., An-1,m-1) is lexicographically smaller than the vector (B0,0, B0,1, ..., B0,m-1, B1,0, B1,1, ..., B1,m-1, ..., Bn-1,0, Bn-1,1, ..., Bn-1,m-1).
0)
4
5
3
3
Returns: {"0 1 2 3 16", "4 5 6 7 17", "8 9 10 11 18", "12 13 14 15 19" }
This test is from the problem statement.
1)
4
5
2
1
Returns: {"0 1 6 7 8", "2 3 9 10 11", "4 5 12 13 14", "15 16 17 18 19" }
2)
1
1
0
0
Returns: {"0" }
3)
10
10
9
9
Returns:
{"0 1 2 3 4 5 6 7 8 9",
"10 11 12 13 14 15 16 17 18 19",
"20 21 22 23 24 25 26 27 28 29",
"30 31 32 33 34 35 36 37 38 39",
"40 41 42 43 44 45 46 47 48 49",
"50 51 52 53 54 55 56 57 58 59",
"60 61 62 63 64 65 66 67 68 69",
"70 71 72 73 74 75 76 77 78 79",
"80 81 82 83 84 85 86 87 88 89",
"90 91 92 93 94 95 96 97 98 99" }
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