Chef hates unoptimized codes and people who write such codes. One fine day he decided to look through the kitchen's codebase and found a function whose pseudo-code is given here:

input: integer N, list X[1, 2, ..., N], list Y[1, 2, ..., N]

output: integer res

function:

set res = 0;
for i := 1 to N do
for j := 1 to N do
for k := 1 to N do
if (X[i] = X[j]) OR (X[j] = X[k]) OR (X[k] = X[i])
continue
else
set res = max(res, Y[i] + Y[j] + Y[k])
return res

Luckily enough this code gets triggered only if the Head Chef makes a submission. But still there is a possibility that this can crash the judge. So help Chef by writing a new function which does the same thing but is faster.

-----Input-----
- The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
- The first line of each test case contains an integer N denoting the number of elements in the two lists.
- The i-th of the next N lines contains a pair of space-separated integers denoting the values of X[i] and Y[i] respectively.

-----Output-----
For each test case, output an integer corresponding to the return value of the function.

-----Constraints-----
- 1 ≤ T ≤ 10
- 1 ≤ N ≤ 105
- 1 ≤ X[i], Y[i] ≤ 108

-----Example-----
Input
2
3
1 3
3 1
1 2
5
1 3
2 4
1 2
3 2
3 4

Output
0
11

-----Explanation-----
Testcase 2: The maximum is attained when i = 1, j = 2 and k = 5. This leads to res being 3 + 4 + 4 = 11. This value is attained in other iterations as well, but it never exceeds this, and hence this is the answer.

```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 = '# Author: Dancing Monkey | Created: 09.DEC.2018\n\nfor _ in range(int(input())):\n n = int(input())\n l = []\n for i in range(n):\n  x, y = map(int, input().split())\n  l.append((y, x))\n l.sort(reverse=True)\n\n y1, x1 = l[0]\n y2 = x2 = y3 = x3 = -1\n i = 1\n while i < n:\n  y, x = l[i]\n  if x == x1:p = 0\n  else:\n   y2, x2 = y, x\n   break\n  i += 1\n\n if i == n:\n  print(0)\n  continue\n while i < n:\n  y, x = l[i]\n  if x == x1 or x == x2:p = 1\n  else:\n   y3, x3 = y, x\n   break\n  i += 1\n if i == n:\n  print(0)\n  continue\n\n print(y3 + y2 + y1)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13373