Add #0011 Container With Most Water (medium)

difficulty/medium/0011 Container With Most Water

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+../../problems/0011-container-with-most-water

list/Blind Curated 75/04. Container With Most Water

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+../../problems/0011-container-with-most-water

problems/0011-container-with-most-water/container-with-most-water.short.js

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+/**
+ * 解題詳情在 ts，這邊是簡化後結果
+ *
+ * @param {number[]} height
+ * @return {number}
+ */
+const maxArea = (
+  height,
+  max = 0,
+  left = 0,
+  right = height.length - 1,
+  leftH = height[left],
+  rightH = height[right],
+  length = right - left,
+  minH = Math.min(leftH, rightH)
+) => length > 0
+  ? maxArea(
+    height,
+    Math.max(max, minH * length),
+    left + (leftH === minH),
+    right - (rightH === minH)
+  )
+  : max
+
+export default maxArea

problems/0011-container-with-most-water/container-with-most-water.short.test.js

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+import maxArea from './container-with-most-water.short';
+
+test.each`
+  height                 | expected
+  ${[1,8,6,2,5,4,8,3,7]} | ${49} }
+  ${[1,1]}               | ${1}
+  ${[4,3,2,1,4]}         | ${16}
+  ${[1,2,1]}             | ${2}
+`('Container With Most Water: ($height)', ({ height, expected }) =>
+  expect(maxArea(height)).toBe(expected)
+);

problems/0011-container-with-most-water/container-with-most-water.test.ts

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+import maxArea from './container-with-most-water';
+
+test.each`
+  height                 | expected
+  ${[1,8,6,2,5,4,8,3,7]} | ${49} }
+  ${[1,1]}               | ${1}
+  ${[4,3,2,1,4]}         | ${16}
+  ${[1,2,1]}             | ${2}
+`('Container With Most Water: ($height)', ({ height, expected }) =>
+  expect(maxArea(height)).toBe(expected)
+);

problems/0011-container-with-most-water/container-with-most-water.ts

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+const maxArea = 最基本作法
+
+export default 從兩側向內找高點;
+
+/**
+ * 想不到有效加速法，先用最基本的做法
+ *
+ * Result:
+ *   Runtime: 7044 ms, faster than 5.00% of TypeScript online submissions
+ *   Memory Usage: 52.4 MB, less than 5.00% of TypeScript online submissions
+ */
+function 最基本作法(height: number[]): number {
+
+  const 算容積 = (左側高度: number, maps: number[]) => maps.map(
+    (右側高度, distance) => Math.min(左側高度, 右側高度) * distance
+  )
+
+  const 各座標作為左邊界的最大容積 = height.map(
+    (height, index, arr) => Math.max(...算容積(height, arr.slice(index)))
+  )
+
+  return Math.max(...各座標作為左邊界的最大容積)
+}
+
+/**
+ * 依照 Approach 2: Two Pointer Approach 實作
+ *
+ * Result:
+ *   Runtime: 80 ms, faster than 95.78% of TypeScript online submissions
+ *   Memory Usage: 43.9 MB, less than 5.42% of TypeScript online submissions
+ */
+function 從兩側向內找高點(height: number[]): number {
+  const 尋找最大容積 = (左側座標: number, 右側座標: number, max: number = 0): number => {
+    if (左側座標 === 右側座標) return max
+
+    const 左高 = height[左側座標]
+    const 右高 = height[右側座標]
+    const 容積 = Math.min(左高, 右高) * (右側座標 - 左側座標)
+
+    return 左高 > 右高
+      ? 尋找最大容積(左側座標, 右側座標 - 1, Math.max(max, 容積))
+      : 尋找最大容積(左側座標 + 1, 右側座標, Math.max(max, 容積))
+  }
+
+  return 尋找最大容積(0, height.length - 1);
+}