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package top100liked
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import (
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"fmt"
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"testing"
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)
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// https://leetcode.cn/problems/largest-rectangle-in-histogram/?envType=study-plan-v2&envId=top-100-liked
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// 暴力法,超时
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// func largestRectangleArea(heights []int) int {
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// maxArea := 0
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// // i 是每个组合中的元素数量
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// for i := 1; i <= len(heights); i++ {
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// // j 是在整个 heights 中滑动的次数
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// for j := 0; j < len(heights)-i+1; j++ {
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// // 计算
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// maxArea = max(maxArea, slices.Min(heights[j:j+i])*i)
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// }
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// }
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// return maxArea
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// }
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func largestRectangleArea(heights []int) int {
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stack := []int{}
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maxArea := 0
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for i := range len(heights) + 1 {
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if len(stack) == 0 {
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stack = append(stack, i)
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continue
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}
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var cur int
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if i == len(heights) {
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cur = 0
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} else {
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cur = heights[i]
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}
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if cur >= heights[stack[len(stack)-1]] {
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stack = append(stack, i)
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} else {
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for len(stack) > 0 && heights[stack[len(stack)-1]] > cur {
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top := stack[len(stack)-1]
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stack = stack[:len(stack)-1]
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width := i
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if len(stack) > 0 {
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width = i - stack[len(stack)-1] - 1
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}
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maxArea = max(maxArea, heights[top]*width)
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}
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stack = append(stack, i)
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}
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}
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return maxArea
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}
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func Test(t *testing.T) {
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fmt.Println(largestRectangleArea([]int{2, 1, 5, 6, 2, 3}))
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fmt.Println(largestRectangleArea([]int{1}))
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fmt.Println(largestRectangleArea([]int{2, 1, 2}))
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}
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