leetcode 198-234 easy

198. House Robber

相邻不能打劫，取利益最大化。

思想：当前值和前一个和的总数   与  前一个和    做大小比较，取最大值，重复该步骤。

class Solution {
public:
    int rob(vector<int>& nums) {
        const int n = nums.size();
        if (n == ) return ;
        if (n == ) return nums[];
        if (n == ) return max(nums[], nums[]);
        vector<int> f(n, );
        f[] = nums[];
        f[] = max(nums[], nums[]);
        for (int i = ; i < n; ++i)
            f[i] = max(f[i-] + nums[i], f[i-]);
        return f[n-];
    }
};

202. Happy Number

class Solution {
public:
    bool isHappy(int n) {
        unordered_map<int,int> tmp;

        while(n != )
        {
            if(tmp[n] == )   //如果出现了循环，则直接返回false
                tmp[n]++;
            else
                return false;

            int sum = ;
            while(n != )
            {
                sum += pow(n % ,);
                n = n / ;
            }

            n = sum;
        }

        return true;
    }
};

///////////////////////////

class Solution {
public:
    int next(int n)
    {
        int sum = ;

        while(n != )
        {
            sum += pow(n % ,);
            n = n / ;
        }

        return sum;
    }

public:
    bool isHappy(int n) {
        int slow = next(n);
        int fast = next(next(n));

        while(slow != fast)
        {
            slow = next(slow);
            fast = next(next(fast));
        }

        return fast ==  ;
    }
};

204. Count Primes

思路：在i × i 的基础上递进 i，这些都不是素数;

class Solution {
public:
    int countPrimes(int n) {
        //Sieve of Erantothoses
        vector<bool> check(n+,true); 

      //Because 0 and 1 are not primes
      check[]=false;
      check[]=false;

      //OPtimization 2: Do only till rootn since all numbers after that are handled
      //The remaining values are already true
      for(int i=;i*i<=n;i++)
      {
        //If already visited
        if(check[i]==false) continue;  //访问过的不重复

        //Optimation 1 : 3*2 is already handled by 2*3. Toh directly start from 9
        int j=i*i;
        while(j<=n)
        {
            check[j]=false;
            j = j+i;   ##以i*i基础上每次增加i，这些都可以化为i的倍数，所以不是素数
        }

      }

    int count=;
    //Checking all the numbers which are prime (less than n)
      for(int i=;i<n;i++)
        if(check[i]) count++;

        return count;
    }
};

 

219. Contains Duplicate II

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

思路：固定窗口滑动，左窗口利用erase来滑动，右边利用i来滑动。

class Solution {
public:
    bool containsNearbyDuplicate(vector<int>& nums, int k)
    {
       unordered_set<int> s;

       if (k <= ) return false;
       if (k >= nums.size()) k = nums.size() - ;

       for (int i = ; i < nums.size(); i++)
       {
           if (i > k) s.erase(nums[i - k - ]);
           if (s.find(nums[i]) != s.end()) return true;
           s.insert(nums[i]);
       }

       return false;
    }
};

231. Power of Two

Power of 2 means only one bit of n is '1', so use the trick n&(n-1)==0 to judge whether that is the case

class Solution {
public:
    bool isPowerOfTwo(int n) {
        if(n<=) return false;
        return !(n&(n-));
    }
};

234. Palindrome Linked List

思路:中间为界，翻转后半部分，对照前半部分是否相等;  定位中界使用快慢指针。

class Solution {
public:
    bool isPalindrome(ListNode* head) {
        if(head==NULL||head->next==NULL)
            return true;
        ListNode* slow=head;
        ListNode* fast=head;
        while(fast->next!=NULL&&fast->next->next!=NULL){
            slow=slow->next;
            fast=fast->next->next;
        }
        slow->next=reverseList(slow->next);
        slow=slow->next;
        while(slow!=NULL){
            if(head->val!=slow->val)
                return false;
            head=head->next;
            slow=slow->next;
        }
        return true;
    }
    ListNode* reverseList(ListNode* head) {
        ListNode* pre=NULL;
        ListNode* next=NULL;
        while(head!=NULL){
            next=head->next;
            head->next=pre;
            pre=head;
            head=next;
        }
        return pre;
    }
};