Create 1039-minimum-score-triangulation-of-polygon.js

Author: everthis

1039-minimum-score-triangulation-of-polygon.js

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+/**
+ * @param {number[]} A
+ * @return {number}
+ */
+const minScoreTriangulation = function(A) {
+  if(A.length <= 2) return 0
+  if(A.length === 3) return A[0] * A[1] * A[2]
+  return chk(A, A.length)
+};
+
+function cost(points, i, j, k) {
+  let p1 = points[i],
+    p2 = points[j],
+    p3 = points[k]
+  return p1 * p2 * p3
+}
+
+function chk(points, n) {
+  if (n < 3) return 0
+
+  const table = Array.from({ length: n }, () => new Array(n).fill(0))
+
+  for (let gap = 0; gap < n; gap++) {
+    for (let i = 0, j = gap; j < n; i++, j++) {
+      if (j < i + 2) table[i][j] = 0
+      else {
+        table[i][j] = Number.MAX_VALUE
+        for (let k = i + 1; k < j; k++) {
+          let val = table[i][k] + table[k][j] + cost(points, i, j, k)
+          if (table[i][j] > val) table[i][j] = val
+        }
+      }
+    }
+  }
+  return table[0][n - 1]
+}