A strobogrammatic number is a number that looks the same when rotated 180 degrees (looked at upside down).

Write a function to count the total strobogrammatic numbers that exist in the range of low <= num <= high.

For example,
Given low = "50", high = "100", return 3. Because 69, 88, and 96 are three strobogrammatic numbers.

Note:
Because the range might be a large number, the low and high numbers are represented 
 
as string.

Strobogrammatic Number II give us all the strings with length n, then we can call it to get strings with length between low.length() and high.length(), and remove the strings that less than low and larger than high.

public class Solution {
    public int strobogrammaticInRange(String low, String high) {
        int lowlen = low.length();
        int highlen = high.length();
        List<String> res = new ArrayList<String>();
        for (int i=lowlen; i<=highlen; i++) {
            res.addAll(findStrobogrammatic(i));
        }
        int i=0;
        int count=res.size();
        while(i<res.size() && res.get(i).length()==low.length()){
            if(res.get(i).compareTo(low)<0){
                count--;
            }
            i++;
        }
        i=res.size()-1;
        while(i>=0 && res.get(i).length()==high.length()){
            if(res.get(i).compareTo(high)>0){
                count--;
            }
            i--;
        }
        return count;
    }
    
    char[] dict = new char[]{‘0‘, ‘1‘, ‘6‘, ‘8‘, ‘9‘};
    
    public List<String> findStrobogrammatic(int n) {
        List<String> res = new ArrayList<String>();
        if (n <= 0) return res;
        build(res, "", n);
        return res;
    }
    
    public void build(List<String> res, String item, int n) {
        if (item.length() == n) {
            res.add(item);
            return;
        }
        boolean last = (item.length()==n-1);
        for (int i=0; i<dict.length; i++) {
            char c = dict[i];
            if ((n!=1 && item.length()==0 && c==‘0‘) || (last && (c==‘6‘ || c==‘9‘))) 
                continue;
            StringBuffer buf = new StringBuffer(item);
            append(buf, last, c);
            build(res, buf.toString(), n);
        }
    }
    
    public void append(StringBuffer buf, boolean last, char c) {
        if (c == ‘6‘) buf.insert(buf.length()/2, "69");
        else if (c == ‘9‘) buf.insert(buf.length()/2, "96");
        else {
            buf.insert(buf.length()/2, last? c : ""+c+c);
        }
    }
}

Strobogrammatic Number III