Integer Solution:

triple [1,7,29] - Cost: 181
triple [2,9,10] - Cost: 89
triple [3,19,26] - Cost: 132
triple [4,13,6] - Cost: 33
triple [5,15,3] - Cost: 147
triple [6,2,9] - Cost: 148
triple [7,12,17] - Cost: 121
triple [8,21,23] - Cost: 57
triple [9,1,22] - Cost: 155
triple [10,32,15] - Cost: 138
triple [11,6,16] - Cost: 168
triple [12,11,28] - Cost: 145
triple [13,28,14] - Cost: 201
triple [14,23,19] - Cost: 209
triple [15,20,2] - Cost: 96
triple [16,25,25] - Cost: 171
triple [17,18,27] - Cost: 111
triple [18,30,8] - Cost: 181
triple [19,22,30] - Cost: 114
triple [20,33,32] - Cost: 173
triple [21,26,31] - Cost: 140
triple [22,29,12] - Cost: 222
triple [23,24,21] - Cost: 120
triple [24,5,13] - Cost: 104
triple [25,17,7] - Cost: 109
triple [26,8,24] - Cost: 101
triple [27,10,18] - Cost: 60
triple [28,31,20] - Cost: 82
triple [29,16,1] - Cost: 177
triple [30,3,4] - Cost: 99
triple [31,4,5] - Cost: 127
triple [32,27,33] - Cost: 36
triple [33,14,11] - Cost: 140
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Total Costs: 4287