giles
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Two-pass partition DP for max profit with at most 2 transactions:
left[i] = max single-trans profit in prices[0..i]
(forward scan tracking running min)
right[i] = max single-trans profit in prices[i..n-1]
(backward scan tracking running max)
answer = max over i of (left[i] + right[i])
For [3; 3; 5; 0; 0; 3; 1; 4]:
optimal partition i = 2:
left[2] = sell@5 after buy@3 = 2
right[2] = sell@4 after buy@0 in [2..7] = 4
total = 6
Tests parallel forward + backward passes on parallel DP arrays,
mixed ref + array state, for downto + for ascending scans on
the same data.
190 baseline programs total.