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' Challenge 100
'
' TASK #2 > Triangle Sum
' Submitted by: Mohammad S Anwar
' You are given triangle array.
'
' Write a script to find the minimum path sum from top to bottom.
'
' When you are on index i on the current row then you may move to either
' index i or index i + 1 on the next row.
'
' Example 1:
' Input: Triangle = [ [1], [2,4], [6,4,9], [5,1,7,2] ]
' Output: 8
'
' Explanation: The given triangle
'
' 1
' 2 4
' 6 4 9
' 5 1 7 2
'
' The minimum path sum from top to bottom: 1 + 2 + 4 + 1 = 8
'
' [1]
' [2] 4
' 6 [4] 9
' 5 [1] 7 2
' Example 2:
' Input: Triangle = [ [3], [3,1], [5,2,3], [4,3,1,3] ]
' Output: 7
'
' Explanation: The given triangle
'
' 3
' 3 1
' 5 2 3
' 4 3 1 3
'
' The minimum path sum from top to bottom: 3 + 1 + 2 + 1 = 7
'
' [3]
' 3 [1]
' 5 [2] 3
' 4 3 [1] 3
const as integer MAX_ROWS = 20
dim shared triangle(MAX_ROWS, MAX_ROWS) as integer
dim shared rows as integer
sub add_row(row as integer, text as string)
dim as integer i, n
rows = row
for i = 1 to row
do while left(text,1)<"0" or left(text,1)>"9"
text = mid(text,2)
loop
n = val(text)
do while left(text,1)>="0" and left(text,1)<="9"
text = mid(text,2)
loop
triangle(row, i) = n
next i
end sub
function min_sum_1(sum as integer, row as integer, col as integer) as integer
dim as integer sum1, sum2
sum = sum + triangle(row, col)
if row = rows then
min_sum_1 = sum
else
sum1 = min_sum_1(sum, row+1, col)
sum2 = min_sum_1(sum, row+1, col+1)
if sum1 < sum2 then
min_sum_1 = sum1
else
min_sum_1 = sum2
end if
end if
end function
function min_sum() as integer
min_sum = min_sum_1(0, 1, 1)
end function
dim i as integer
i = 1
do while command(i) <> ""
add_row(i, command(i))
i = i + 1
loop
print min_sum()
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