Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.

Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.

He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.

Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.

Constraints

* 1 ≤ n ≤ 25

Input

Input consists of several datasets.

The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.

The end of input is represented by a case with n = 0.

Output

For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"

Example

Input

3
2 3
3 6
1 2
3
2 3
3 5
1 2
0


Output

Yes
No
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import java.lang.ArrayIndexOutOfBoundsException;

/**
 * @author yoshikyoto
 */
class Main extends MyUtil{
	public static ArrayList<ArrayList<Integer>> g;
	public static void main(String[] args) throws Exception{
		
		while(true){
			int n = readInt();
			if(n == 0) return;
			
			int[][] islands = new int[n][2];
			for(int i = 0; i < n; i++) islands[i] = readIntMap();
			Arrays.sort(islands, new ArrayComparator());
			
			int sum = 0;
			boolean flag = true;
			for(int i = 0; i < n; i++){
				sum += islands[i][0];
				if(sum > islands[i][1]){
					flag = false;
					break;
				}
			}
			p(flag ? "Yes" : "No");
		}
	}
}

class ArrayComparator implements Comparator<int[]>{
	public int compare(int[] a, int[] b){
		for(int i = a.length-1; i >= 0; i--){
			if(a[i] == b[i]) continue;
			return a[i] - b[i];
		}
		return 0;
	}
}

class ArrayListData extends ArrayList<Data>{
	void sort(){
		Collections.sort(this, new DataComparator());
	}
}

class Data extends MyUtil{
	int takara, hashi;
	Data(String str){
		String strs[] = str.split(" ");
		takara = parseInt(strs[0]);
		hashi = parseInt(strs[1]);
	}
}


class DataComparator implements Comparator<Data>{
    //比較メソッド（データクラスを比較して-1, 0, 1を返すように記述する）
    public int compare(Data a, Data b) {
        // a > b ? 1 で昇順、a < b ? 1 で降順
        if (a.hashi > b.hashi) {
            return 1;
        } else if (a.hashi < b.hashi) {        	
            return -1;
        } else {
        	return 0;
        }
    }
}

class Regex{
	Pattern p; Matcher m; String str;
	Regex(String regex_str){p = Pattern.compile(regex_str);}
	void setStr(String str){m = p.matcher(str);}
	boolean find(){return m.find();}
	String group(int i){return m.group(i);}
	String group(){return m.group();}
}

/**
 * UnionFindTree Set周りは未実装
 * @author yoshikyoto
 */
class UnionFindTree{
    public int[] parent, rank;
    public int n;
    public Set<Integer> set;
    // 初期化
    UnionFindTree(int _n){
        n = _n;
        for(int i = 0; i < n; i++){
        	parent = new int[n];
        	rank = new int[n];
            parent[i] = i;
            rank[i] = 0;
        }
    }
    // 根を求める
    int find(int x){
        if(parent[x] == x){
            return x;
        }else{
            return parent[x] = find(parent[x]);
        }
    }
    // xとyの集合を結合
    void unite(int x, int y){
        x = find(x);
        y = find(y);
        if(x == y){
            return;
        }
        if(rank[x] < rank[y]){
            parent[x] = y;
        }else{
            parent[y] = x;
            if(rank[x] == rank[y]) rank[x]++;
        }
    }
    // xとyが同じ集合か
    boolean same(int x, int y){
        return find(x) == find(y);
    }
};


/**
 * 整数を数え上げたりするクラス
 * new Prime(int n) でnまでエラトステネスの篩を実行。
 * @author yoshikyoto
 * @param a[i] iが素数の時true
 * @param count[i] i以下の素数の数
 */
class Prime{
	boolean[] a;
	int[] count;
	Prime(int n){
		a = new boolean[n+1];
		a[0] = false; a[1] = false;
		for(int i = 2; i <= n; i++) a[i] = true;
		// ふるい
		for(int i = 2; i < (n - 3) / 2; i++)
			if(a[i]) for(int j = 2; j * i <= n; j++)
					a[j * i] = false;
		
		// 数え上げ
		count = new int[n+1];
		count[0] = 0;
		for(int i = 1; i <= n; i++){
			int gain = 0;
			if(a[i]) gain = 1;
			count[i] = count[i-1] + gain;
		}
	}
}

class AI extends ArrayList<Integer>{}
class SI extends Stack<Integer>{}

class CountHashMap<E> extends HashMap<E, Integer>{
	ArrayList<E> keyArray = new ArrayList<E>();
	public void add(E key){add(key, 1);}
	public void add(E key, Integer value){
		if(containsKey(key)){value += get(key);
		}else{keyArray.add(key);}
		put(key, value);
	}
}
class HM extends CountHashMap<String>{} 

class Q<E> extends ArrayDeque<E>{
	public void push(E item){add(item);}
	public E pop(){return poll();}
}
class QS extends Q<String>{}
class QI extends Q<Integer>{}

/**
 * MyUtil
 * @author yoshikyoto
 */
class MyUtil extends MyIO{
	public static Random rand = new Random();
	public static long start_time = 0;
	public static void start(){start_time = System.currentTimeMillis();}
	public static void end(){
		if(start_time == 0) return;
		long time = System.currentTimeMillis() - start_time;
		if(DEBUG) p(time + "ms");
	}
	public static int digit(int n){return String.valueOf(n).length();}
	public static String reverse(String s){
		StringBuffer sb = new StringBuffer(s);
		return sb.reverse().toString();
	}
	public static void sort(int[] a){Arrays.sort(a);}
	public static void dsort(int[] a){
		Arrays.sort(a);
		int l = a.length;
		for(int i = 0; i < l/2; i++){
			int tmp = a[i]; a[i] = a[l-1-i]; a[l-1-i] = tmp;
		}
	}
	public static void sleep(int t){try{Thread.sleep(t);}catch(Exception e){}}
	public static int sum(int[] a){int s = 0; for(int i = 0; i < a.length; i++)s+=a[i]; return s;}
	public static int[] cp(int[] a){
		int[] b = new int[a.length];
		for(int i = 0; i < a.length; i++) b[i] = a[i];
		return b;
	}
	public static int randomInt(int min, int max){return min + rand.nextInt(max - min + 1);}
	static boolean inside(int y, int x, int h, int w){return 0 <= y && y <= (h-1) && 0 <= x && x <= (w-1);};
	public static boolean isUpper(char c){return 'A'<=c&&c<='Z';}
	public static boolean isLower(char c){return 'a'<=c&&c<='z';}
	public static char toUpper(char c){
		if(isLower(c)) return (char)(c - 'a' + 'A');
		return c;
	}
	public static char toLower(char c){
		if(isUpper(c)) return (char)(c - 'A' + 'a');
		return c;
	}
}

/**
 * MyIO
 * @author yoshikyoto
 */
class MyIO extends MyMath{
	static Scanner sc = new Scanner(new InputStreamReader(System.in));
	public static char scNextChar(){return sc.next().charAt(0);}
	static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	public static boolean DEBUG = false;
	public static String line;
	public static void debug(){DEBUG = !DEBUG;};
	public static int[] readIntMap() throws IOException{return parseInt(readLine().split(" "));}
	public static int[] readNoDistIntMap() throws IOException{
		String[] strs = readLine().split("");
		int l = strs.length;
		int[] ret = new int[l-1];
		for(int i = 1; i < l; i++)
			ret[i-1] = parseInt(strs[i]);
		return ret;
	}
	public static boolean readToLine() throws IOException{return (line = br.readLine()) != null;}
	public static String readLine() throws IOException{return br.readLine();}
	public static int readInt() throws IOException{return Integer.parseInt(br.readLine());}
	public static void p(Object o){System.out.println(o.toString());}
	public static void pr(Object o){System.out.print(o.toString());}
	public static void d(Object o){if(DEBUG)System.out.println(o.toString());}
	public static void dr(Object o){if(DEBUG)System.out.print(o.toString());}
	public static void da(Object[] o){if(DEBUG)System.out.println(Arrays.toString(o));}
	public static void da(int[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static void da(double[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static void da(boolean[] arr){if(DEBUG)System.out.println(Arrays.toString(arr));}
	public static int[] parseInt(String[] arr){
		int[] res = new int[arr.length];
		for(int i = 0; i < arr.length; i++)res[i] = Integer.parseInt(arr[i]);
		return res;
	}
	public static double[] parseDouble(String[] arr){
		double[] res = new double[arr.length];
		for(int i = 0; i < arr.length; i++)res[i] = Double.parseDouble(arr[i]);
		return res;
	}
	public static boolean[] parseBool(String[] arr){
		int[] t = parseInt(arr);
		boolean[] res = new boolean[t.length];
		for(int i = 0; i < t.length; i++){
			if(t[i] == 1){res[i] = true;
			}else{res[i] = false;}
		}
		return res;
	}
	public static int parseInt(Object o){return Integer.parseInt(o.toString());}
	public static PrintWriter getFilePrintWriter(String file) throws IOException{
		FileWriter fw = new FileWriter(file);
		BufferedWriter bw = new BufferedWriter(fw);
		PrintWriter pw = new PrintWriter(bw);
		return pw;
	}
	public static BufferedReader getFileBufferdReader(String file) throws FileNotFoundException{
		FileReader fr = new FileReader(file);
		BufferedReader br = new BufferedReader(fr);
		return br;
	}
}

class MyMath{
	/**
	 * 弧度法の角度を入力してsinの値を返す（Math.sin の入力はラジアン）
	 */
	public static double sin(int r){return Math.sin(Math.toRadians(r));}

	/**
	 * 弧度法の角度を入力してcosの値を返す（Math.sin の入力はラジアン）
	 */
	public static double cos(int r){return Math.cos(Math.toRadians(r));}
	public static int max(int a, int b){return Math.max(a, b);}
	public static int min(int a, int b){return Math.min(a, b);}
	public static boolean isCross(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4){
	    // 並行な場合
	    int m = (x2-x1)*(y4-y3)-(y2-y1)*(x4-x3);
	    if(m == 0) return false;
	    // 媒介変数の値が0より大きく1以下なら交差する、これは問題の状況によって変わるかも。
	    double r =(double)((y4-y3)*(x3-x1)-(x4-x3)*(y3-y1))/m;
	    double s =(double)((y2-y1)*(x3-x1)-(x2-x1)*(y3-y1))/m;
	    return (0 < r && r <= 1 && 0 < s && s <= 1);
	}
	public static boolean isParallel(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4){
	    if((x2-x1)*(y4-y3) == (y2-y1)*(x4-x3)) return true;
	    else return false;
	}
	public static double sq(double d){return d*d;}
	public static int sq(int i){return i*i;}
	public static int sqdist(int x1, int y1, int x2, int y2){
		return sq(x1-x2) + sq(y1-y2);}
	public static double sqdist(double x1, double y1, double x2, double y2){
		return sq(x1-x2) + sq(y1-y2);}
	public static double dist(int x1, int y1, int x2, int y2){
		return Math.sqrt(sqdist(x1, y1, x2, y2));}
	public static double dist(double x1, double y1, double x2, double y2){
		return Math.sqrt(sqdist(x1, y1, x2, y2));}
}