leetcode 105: Longest Consecutive Sequence

Longest Consecutive Sequence Feb 14

Given an unsorted array of integers, find the length of the longest consecutive elements sequence.

For example,
Given [100, 4, 200, 1, 3, 2],
The longest consecutive elements sequence is [1, 2, 3, 4]. Return its length: 4.

Your algorithm should run in O(n) complexity.

public class Solution {
    public int longestConsecutive(int[] num) {
        if(num==null || num.length<1 ) return 0;
        int longest = 1;
        
        Map<Integer, Integer> map = new HashMap<Integer, Integer>();
        Set<Integer> set = new HashSet<Integer>();
        
        for(int i=0; i<num.length; i++) {
            int x = num[i];
            if(set.contains(x) ) continue;
            set.add(x);
            int min = x, max = x;
            
            if( map.containsKey(x+1) ) {
                max  = map.get(x+1);
                map.remove(map.get(x+1) );
                map.remove(x+1);
            }
            
            if( map.containsKey(x-1) ) {
                min = map.get(x-1);
                map.remove(map.get(x-1) );
                map.remove(x-1);
            } 
            map.put(min, max);
            map.put(max, min);
            longest = longest > max-min+1 ? longest : max-min+1;
        }
        return longest;
    }
}


class Solution {
public:
    int longestConsecutive(vector<int> &num) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        unordered_map<int,int> mymap;
        unordered_set<int> unique; 
        int max = 0;
        
        for(int i=0; i<num.size(); i++) {
            if(unique.find(num[i])!=unique.end()) {
                continue;
            } else {
                unique.insert(num[i]);
            }
            
            int left=num[i], right = num[i];
            
            if(mymap.find(left-1)!=mymap.end() && mymap[left-1] <= left-1) {  //should be left-1
                left = mymap[left-1];
            }
            
            if(mymap.find(right+1)!=mymap.end() && mymap[right+1] >= right+1) {  //should be right+1
                right  = mymap[right+1];
            }
            mymap[left] = right;  //don't forget put these into the map.
            mymap[right] = left;
            
            max = max > (right-left+1) ? max : (right-left+1);   //do not need to iterate map again. use var to record max value.
        }
        return max;
    }
};

O(nlogn) algorithm, because of sorting.

class Solution {
public:
    int longestConsecutive(vector<int> &num) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        //Given [100, 4, 200, 1, 3, 2],
        //The longest consecutive elements sequence is [1, 2, 3, 4]. Return its length: 4.
        sort(num.begin(), num.end() );
        int longest = 1;
        int cur=1;
        for(int i=1; i<num.size(); i++) {
            if(num[i]==num[i-1]+1) {
                ++cur;
                longest = longest>=cur? longest : cur;
            } else if(num[i]==num[i-1]) {
                continue;
            } else {
                cur=1;
            }
        }
        return longest;
    }
};


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