Integer Solution:

triple [1,2,24] - Cost: 54
triple [2,20,2] - Cost: 48
triple [3,9,27] - Cost: 35
triple [4,3,33] - Cost: 28
triple [5,30,1] - Cost: 18
triple [6,21,9] - Cost: 39
triple [7,22,30] - Cost: 32
triple [8,26,31] - Cost: 73
triple [9,5,7] - Cost: 22
triple [10,19,15] - Cost: 72
triple [11,23,12] - Cost: 39
triple [12,10,6] - Cost: 50
triple [13,15,14] - Cost: 80
triple [14,28,19] - Cost: 48
triple [15,27,13] - Cost: 57
triple [16,17,21] - Cost: 43
triple [17,18,18] - Cost: 51
triple [18,8,4] - Cost: 39
triple [19,6,3] - Cost: 31
triple [20,31,23] - Cost: 34
triple [21,24,22] - Cost: 47
triple [22,7,26] - Cost: 84
triple [23,25,8] - Cost: 70
triple [24,32,29] - Cost: 26
triple [25,29,25] - Cost: 87
triple [26,16,17] - Cost: 117
triple [27,13,20] - Cost: 90
triple [28,12,5] - Cost: 49
triple [29,14,28] - Cost: 28
triple [30,11,32] - Cost: 26
triple [31,4,10] - Cost: 39
triple [32,33,11] - Cost: 21
triple [33,1,16] - Cost: 27
_________________________________
Total Costs: 1604