Integer Solution:

triple [1,19,8] - Cost: 83
triple [2,33,21] - Cost: 176
triple [3,32,16] - Cost: 139
triple [4,30,22] - Cost: 183
triple [5,15,24] - Cost: 127
triple [6,11,18] - Cost: 130
triple [7,21,7] - Cost: 118
triple [8,27,11] - Cost: 148
triple [9,16,10] - Cost: 219
triple [10,31,9] - Cost: 138
triple [11,12,6] - Cost: 120
triple [12,2,33] - Cost: 210
triple [13,6,29] - Cost: 156
triple [14,7,13] - Cost: 75
triple [15,20,32] - Cost: 180
triple [16,1,4] - Cost: 175
triple [17,26,28] - Cost: 74
triple [18,13,30] - Cost: 147
triple [19,22,20] - Cost: 123
triple [20,24,15] - Cost: 130
triple [21,3,31] - Cost: 142
triple [22,29,26] - Cost: 209
triple [23,9,12] - Cost: 124
triple [24,28,17] - Cost: 60
triple [25,18,25] - Cost: 142
triple [26,25,5] - Cost: 177
triple [27,23,23] - Cost: 134
triple [28,5,14] - Cost: 185
triple [29,17,3] - Cost: 168
triple [30,14,19] - Cost: 135
triple [31,8,27] - Cost: 204
triple [32,10,1] - Cost: 167
triple [33,4,2] - Cost: 99
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Total Costs: 4797