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refactor: enhance minCostAssignment function with sentinel column for improved indexing
- Introduced a sentinel column to replace 0-indexing from the Rust version, simplifying potential assignments. - Updated array initializations to accommodate the new indexing scheme, enhancing clarity and consistency in the algorithm. - Adjusted logic for potential updates and augmenting paths to align with the new structure.
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1 changed files with 20 additions and 13 deletions
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@ -337,6 +337,8 @@ local function minCostAssignment(cost: { { number } }, rows: number, cols: numbe
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local n = math.max(rows, cols)
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local big = UNMATCHED_PENALTY * 2
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local S = n + 1 -- sentinel column (replaces 0-index from the Rust version)
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local INF = math.huge
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local c: { { number } } = table.create(n)
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for i = 1, n do
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@ -349,24 +351,26 @@ local function minCostAssignment(cost: { { number } }, rows: number, cols: numbe
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c[i] = row
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end
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local u = table.create(n + 1, 0)
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local v = table.create(n + 1, 0)
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local p = table.create(n + 1, 0)
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local way = table.create(n + 1, 0)
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local INF = math.huge
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-- u[1..n] = row potentials, u[S] unused but allocated for uniform indexing
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local u = table.create(S, 0)
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-- v[1..n] = col potentials, v[S] = sentinel potential
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local v = table.create(S, 0)
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-- p[j] = row assigned to column j (0 = unassigned), p[S] = sentinel
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local p = table.create(S, 0)
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-- way[j] = previous column in augmenting path
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local way = table.create(S, 0)
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for i = 1, n do
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p[0] = i
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local j0 = 0
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local minV = table.create(n + 1, INF)
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local used = table.create(n + 1, false)
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p[S] = i
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local j0 = S
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local minV = table.create(S, INF)
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local used = table.create(S, false)
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while true do
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used[j0] = true
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local i0 = p[j0]
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local delta = INF
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local j1 = 0
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local j1 = S
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for j = 1, n do
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if used[j] then
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@ -383,7 +387,10 @@ local function minCostAssignment(cost: { { number } }, rows: number, cols: numbe
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end
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end
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for j = 0, n do
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-- Update potentials: sentinel + real columns
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u[p[S]] += delta
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v[S] -= delta
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for j = 1, n do
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if used[j] then
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u[p[j]] += delta
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v[j] -= delta
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@ -402,7 +409,7 @@ local function minCostAssignment(cost: { { number } }, rows: number, cols: numbe
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local j1 = way[j0]
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p[j0] = p[j1]
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j0 = j1
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if j0 == 0 then
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if j0 == S then
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break
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end
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end
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