Given an array of integers, find out whether there are two distinct indices i and j in the array such that the difference between nums[i] and nums[j] is at most t and the difference between i and j is at most k.

分析

题目描述:给定一个整数序列,查找是否存在两个下标分别为

开始的时候,采取同 LeetCode(219) Contains Duplicate II的方法,元素值的元素在set内遍历查找一遍,复杂度为O(n),很遗憾的超时了;

然后,查找资料,看到了另外一种简单的方法map解决方法
使用,则返回true。最后遍历完整个数组返回false。

AC代码

class Solution {
public:
    //方法一,TLE
    bool containsNearbyAlmostDuplicate1(vector<int>& nums, int k, int t) {
        if (nums.empty())
            return false;

        int sz = nums.size();
        //使用容器unordered_set 其查找性能为常量
        unordered_set<int> us;
        int start = 0, end = 0;
        for (int i = 0; i < sz; ++i)
        {
            int len = us.size();
            for (int j = 0; j < len; ++j)
            {
                int tmp = abs(nums[j] - nums[i]);
                if (tmp <= t)
                    return true;
            }//for
            us.insert(nums[i]);
            ++end;

            if (end - start > k)
            {
                us.erase(nums[start]);
                ++start;
            }
        }//for
        return false;

    }
    //方法二:
    bool containsNearbyAlmostDuplicate(vector<int>& nums, int k, int t) {
        if (nums.empty())
            return false;

        int sz = nums.size();
        map<long long, int > m;
        int start = 0;
        for (int i = 0; i < sz; ++i)
        {
            if (i - start >k && m[nums[start]] == start)
                m.erase(nums[start++]);

            auto a = m.lower_bound(nums[i] - t);
            if (a != m.end() && abs(a->first - nums[i]) <= t)
                return true;
            //将元素值和下标插入map
            m[nums[i]] = i;
        }//for
        return false;
        return false;

    }
};

GitHub测试程序源码

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