[LeetCode]Trapping Rain Water

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Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it is able to trap after raining.

For example, 
Given [0,1,0,2,1,0,1,3,2,1,2,1], return 6.


The above elevation map is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. Thanks Marcos for contributing this image!
题意:求由上面的数组组成的bar所组成的槽所能够容纳的水量,
思路1:首先找到最大的bar然后分别从左向右计算盛水量,计算时先选定一个非0的bar然后如果后面的bar不比当前大,则依次入栈,直到找到大于当前的,然后对站内的bar依次计算盛水量,最后从右向左重复上面的步骤。
代码1:

    public int trap1(List<Integer> height) {//两边向最长的bar扫面遇见比当前小的就入栈,直到遇到大的就弹出计算盛水量        int sum = 0;        int highIndex = 0;        int max = Integer.MIN_VALUE;        for(int i = 0; i < height.size(); ++ i){            if(height.get(i) > max){                max = height.get(i);                highIndex = i;            }        }        int left;        Stack<Integer> s = new Stack<Integer>();        for(int i = 0; i < highIndex;){            while (i < highIndex && height.get(i) == 0){                i ++;            }            left = height.get(i);            while (i< highIndex) {                while (i < highIndex && height.get(i) <= left) {                    s.push(height.get(i));                    i++;                }                while (!s.isEmpty()) {                    int temp = s.peek();                    s.pop();                    sum += (left - temp);                }                left = height.get(i);                i ++;            }        }        int right = 0;        for(int i = height.size() - 1; i > highIndex;){            while (i > highIndex && height.get(i) == 0){                i --;            }            right = height.get(i);            while (i > highIndex){                while (i > highIndex && height.get(i) <= right){                    s.push(height.get(i));                    i --;                }                while (!s.isEmpty()){                    sum += right - s.peek();                    s.pop();                }                right = height.get(i);                i --;            }        }        return sum;    }
思路2:和上面的计算思路类似,这次不必要首先计算最大的bar,而是每次比较左右两边选定的bar的大小,小的那个先计算,依次循环。空间O(1),时间O(N)
代码:
    public int trap(List<Integer> height){        int sum = 0;        int left = 0, right = height.size() - 1;        while (left < right && height.get(left) == 0){            left ++;        }        while (right > left && height.get(right) == 0){            right -- ;        }        int leftHeight,rightHeight;        while (left < right) {            leftHeight = height.get(left);            rightHeight = height.get(right);            if (leftHeight <= rightHeight ){//当左边bar高度小于右边的高度的时候,左边先扫描,直到左边遇到比leftHeight 高为止                while (left < right && height.get(left) <= leftHeight){                    sum += leftHeight - height.get(left);                    left ++;                }            }else {                while (left < right && height.get(right) <= rightHeight ) {                    sum += rightHeight  - height.get(right);                    right--;                }            }        }        return sum;    }



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