diff --git a/problems/0084.柱状图中最大的矩形.md b/problems/0084.柱状图中最大的矩形.md index 439a3bc5..8f10a582 100644 --- a/problems/0084.柱状图中最大的矩形.md +++ b/problems/0084.柱状图中最大的矩形.md @@ -486,5 +486,95 @@ var largestRectangleArea = function(heights) { return maxArea; }; ``` +TypeScript: + +> 双指针法(会超时): + +```typescript +function largestRectangleArea(heights: number[]): number { + let resMax: number = 0; + for (let i = 0, length = heights.length; i < length; i++) { + // 左开右开 + let left: number = i - 1, + right: number = i + 1; + while (left >= 0 && heights[left] >= heights[i]) { + left--; + } + while (right < length && heights[right] >= heights[i]) { + right++; + } + resMax = Math.max(resMax, heights[i] * (right - left - 1)); + } + return resMax; +}; +``` + +> 动态规划预处理: + +```typescript +function largestRectangleArea(heights: number[]): number { + const length: number = heights.length; + const leftHeightDp: number[] = [], + rightHeightDp: number[] = []; + leftHeightDp[0] = -1; + rightHeightDp[length - 1] = length; + for (let i = 1; i < length; i++) { + let j = i - 1; + while (j >= 0 && heights[i] <= heights[j]) { + j = leftHeightDp[j]; + } + leftHeightDp[i] = j; + } + for (let i = length - 2; i >= 0; i--) { + let j = i + 1; + while (j < length && heights[i] <= heights[j]) { + j = rightHeightDp[j]; + } + rightHeightDp[i] = j; + } + let resMax: number = 0; + for (let i = 0; i < length; i++) { + let area = heights[i] * (rightHeightDp[i] - leftHeightDp[i] - 1); + resMax = Math.max(resMax, area); + } + return resMax; +}; +``` + +> 单调栈: + +```typescript +function largestRectangleArea(heights: number[]): number { + heights.push(0); + const length: number = heights.length; + // 栈底->栈顶:严格单调递增 + const stack: number[] = []; + stack.push(0); + let resMax: number = 0; + for (let i = 1; i < length; i++) { + let top = stack[stack.length - 1]; + if (heights[top] < heights[i]) { + stack.push(i); + } else if (heights[top] === heights[i]) { + stack.pop(); + stack.push(i); + } else { + while (stack.length > 0 && heights[top] > heights[i]) { + let mid = stack.pop(); + let left = stack.length > 0 ? stack[stack.length - 1] : -1; + let w = i - left - 1; + let h = heights[mid]; + resMax = Math.max(resMax, w * h); + top = stack[stack.length - 1]; + } + stack.push(i); + } + } + return resMax; +}; +``` + + + -----------------------