Tails ⇐ (1⊸↓)⍟(↕∘≠⊢)

Sym ⇐ ∧´∘⥊ ⌽=⊢

Centers ⇐ { ⌊ (↕≠𝕩) { 𝕨+ 2÷˜ 𝕨-˜ ≠𝕩} 𝕩 }

VC ⇐ (⊑/˜) Centers×Sym¨∘Tails
HC ⇐ VC⍉

VCenter ⇐ VC⌈(VC⌽˘)
HCenter ⇐ HC⌈(HC⌽)

Score ⇐ (100×VCenter) + HCenter