(phixonline)-->
with javascript_semantics
sequence tri = {{55},
{94, 48},
{95, 30, 96},
{77, 71, 26, 67},
{97, 13, 76, 38, 45},
{ 7, 36, 79, 16, 37, 68},
{48, 7, 9, 18, 70, 26, 6},
{18, 72, 79, 46, 59, 79, 29, 90},
{20, 76, 87, 11, 32, 7, 7, 49, 18},
{27, 83, 58, 35, 71, 11, 25, 57, 29, 85},
{14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55},
{ 2, 90, 3, 60, 48, 49, 41, 46, 33, 36, 47, 23},
{92, 50, 48, 2, 36, 59, 42, 79, 72, 20, 82, 77, 42},
{56, 78, 38, 80, 39, 75, 2, 71, 66, 66, 1, 3, 55, 72},
{44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36},
{85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 1, 1, 99, 89, 52},
{ 6, 71, 28, 75, 94, 48, 37, 10, 23, 51, 6, 48, 53, 18, 74, 98, 15},
{27, 2, 92, 23, 8, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93}}
-- update each row from last but one upwards, with the larger
-- child, so the first step is to replace 6 with 6+27 or 6+2.
for r=length(tri)-1 to 1 by -1 do
for c=1 to length(tri[r]) do
tri[r][c] += max(tri[r+1][c..c+1])
end for
end for
?tri[1][1]