John Smith knows that his son, Thomas Smith, is among the best students in his class and even in his school. After the students of the school took the exams in English, German, Math, and History, a table of results was formed.

There are $n$ students, each of them has a unique id (from $1$ to $n$). Thomas's id is $1$. Every student has four scores correspond to his or her English, German, Math, and History scores. The students are given in order of increasing of their ids.

In the table, the students will be sorted by decreasing the sum of their scores. So, a student with the largest sum will get the first place. If two or more students have the same sum, these students will be sorted by increasing their ids. 

Please help John find out the rank of his son. 


-----Input-----

The first line contains a single integer $n$ ($1 \le n \le 1000$) — the number of students.

Each of the next $n$ lines contains four integers $a_i$, $b_i$, $c_i$, and $d_i$ ($0\leq a_i, b_i, c_i, d_i\leq 100$) — the grades of the $i$-th student on English, German, Math, and History. The id of the $i$-th student is equal to $i$.


-----Output-----

Print the rank of Thomas Smith. Thomas's id is $1$.


-----Examples-----
Input
5
100 98 100 100
100 100 100 100
100 100 99 99
90 99 90 100
100 98 60 99

Output
2

Input
6
100 80 90 99
60 60 60 60
90 60 100 60
60 100 60 80
100 100 0 100
0 0 0 0

Output
1



-----Note-----

In the first sample, the students got total scores: $398$, $400$, $398$, $379$, and $357$. Among the $5$ students, Thomas and the third student have the second highest score, but Thomas has a smaller id, so his rank is $2$.

In the second sample, the students got total scores: $369$, $240$, $310$, $300$, $300$, and $0$. Among the $6$ students, Thomas got the highest score, so his rank is $1$.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'from sys import stdin, stdout\nfrom math import log2\n\nn = int(stdin.readline())\nchallengers = []\n\nfor i in range(n):\n    a, b, c, d = map(int, stdin.readline().split())\n    challengers.append((-(a + b + c + d), i))\n\nchallengers.sort()\n\nfor i in range(n):\n    if not challengers[i][1]:\n        stdout.write(str(i + 1))\n        break'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13231