diff --git a/solutions/018/maxpathsum1.py b/solutions/018/maxpathsum1.py new file mode 100644 index 0000000..f479464 --- /dev/null +++ b/solutions/018/maxpathsum1.py @@ -0,0 +1,25 @@ +dataTable = [ + [75], + [95, 64], + [17, 47, 82], + [18, 35, 87, 10], + [20, 4, 82, 47, 65], + [19, 1, 23, 75, 3, 34], + [88, 2, 77, 73, 7, 63, 67], + [99, 65, 4, 28, 6, 16, 70, 92], + [41, 41, 26, 56, 83, 40, 80, 70, 33], + [41, 48, 72, 33, 47, 32, 37, 16, 94, 29], + [53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14], + [70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57], + [91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48], + [63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31], + [ 4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23], +] + +# traverse the triangle from the second-to-bottom row, upwards +for i in reversed(range(len(dataTable) - 1)): + for j in range(i + 1): + # set the value of the current node to be the higher sum of the two possible children + dataTable[i][j] += max(dataTable[i + 1][j], dataTable[i + 1][j + 1]) + +print("The maximum sum from top to bottom of the triangle is: ", str(dataTable[0][0])) \ No newline at end of file