【LeetCode candy】

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135.Candy

解题思路

我首先想到的是如果序列是递增的,那么序列的值是逐渐递增的。如果序列是递减的,那么从最小的开始,往回来是递增的。如果遇到相等,就是1。

class Solution {    public int candy(int[] ratings) {        if (ratings.length == 1){            return 1;        }        int[] res = new int[ratings.length];        res[0] = 1;        for (int i = 1; i < ratings.length; i++){            if (ratings[i] >= ratings[i-1]){                int start = i-1;                while (i < ratings.length && ratings[i] >= ratings[i-1]){                    i++;                }                int k = 1;                for (int j = start; j < i-1; j++){                    if (ratings[j] < ratings[j+1]){                        res[j] = k;                        k++;                    }                    else {                        if (j - 1 < 0){                            res[j] = 1;                            continue;                        }                        if (ratings[j] > ratings[j-1]){                            res[j] = k;                            k = 1;                            continue;                        }                        res[j] = 1;                        //k = 1;                    }                }                res[i-1] = k;                i--;            }            if (ratings[i] < ratings[i-1]){                int start = i-1;                while (i < ratings.length && ratings[i] <= ratings[i-1]){                    i++;                }                int k = 1;                for (int j = i-1; j > start; j--){                    if (ratings[j] < ratings[j-1]){                        res[j] = k;                        k++;                    }                    else {                        if (j + 1 >= i){                            res[j] = 1;                            continue;                        }                        if (ratings[j] < ratings[j+1]){                            res[j] = k;                            k = 1;                            continue;                        }                        res[j] = 1;                        //k = 1;                    }                }                res[start] = Math.max(k, res[start]);                i--;                continue;            }        }        int sum = 0;        for (int i = 0; i < res.length; i++){            sum += res[i];        }        return sum;    }}

但是最后一个例子没有通过,说明还是有问题。
在网上看了一个新的思路,就是从左边往右边遍历,如果遇到右边比左边大,则右边比左边结果加1。然后从右边遍历,如果左边比右边大,如果左边结果小于右边结果,那么左边结果为右边结果加1。
其实在前一个思路中已经有一些端倪,可以通过往回遍历修改当前值了。其实上一个思路是这个思路的复杂实现。同样是遇到上升加1,遇到相等边为1,遇到下降往回遍历修改。那么既然是互相不干扰,可以分别便来实现。
代码如下

public class Candy {    public int candy(int[] ratings) {        int size = ratings.length;        if (size == 0){            return 0;        }        if (size == 1){            return 1;        }        int[] res = new int[size];        res[0] = 1;        for (int i = 1; i < size; i++){            if (ratings[i] > ratings[i-1]){                res[i] = res[i-1] + 1;            }            else {                res[i] = 1;            }        }        for (int i = size-2; i >= 0; i--){            if (ratings[i] > ratings[i+1]){                res[i] = Math.max(res[i], res[i+1] + 1);            }        }        int sum = 0;        for (int i = 0; i < size; i++){            sum += res[i];        }        return sum;    }}
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