Given an array of citations (each citation is a non-negative integer) of a researcher, write a function to compute the researcher's h-index.
According to the definition of h-index on Wikipedia: "A scientist has index h if h of his/her N papers have at least h citations each, and the other N − h papers have no more than h citations each."
For example, given
citations = [3, 0, 6, 1, 5]
, which means the researcher has 5
papers in total and each of them had received 3, 0, 6, 1, 5
citations respectively. Since the researcher has 3
papers with at least 3
citations each and the remaining two with no more than 3
citations each, his h-index is 3
.
Note: If there are several possible values for
h
, the maximum one is taken as the h-index.
Hint:
- An easy approach is to sort the array first.
- What are the possible values of h-index?
- A faster approach is to use extra space.
Time: O(n), Space:O(n), Using bucket sort or hashmap, faster than sort method!
public int hIndex(int[] citations) {
int len = citations.length;
HashMap<Integer, Integer> hmap = new HashMap<Integer, Integer>();
for(int i=0; i<len; ++i){
int val = citations[i];
if(val >= 1 && val <= len){
if(!hmap.containsKey(val)){
hmap.put(val, 1);
}else{
hmap.put(val, hmap.get(val) + 1);
}
}else if(val > len){
if(!hmap.containsKey(len)){
hmap.put(len, 1);
}else{
hmap.put(len, hmap.get(len) + 1);
}
}
}
int count = 0;
for(int i=len; i>=1; --i){
if(hmap.containsKey(i)){
count += hmap.get(i);
}
if(count >= i){
return i;
}
}
return 0;
}
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