Chef is playing a game on the non-negative x-axis. It takes him $1$ second to reach from $i^{th}$ position to $(i-1)^{th}$ position or $(i+1)^{th}$ position. The chef never goes to the negative x-axis. Also, Chef doesn't stop at any moment of time.
The movement of chef can be described as follows.
- At the start he is standing at $x=0$ at time $0$.
- In the first round, he moves towards $x=1$ and comes back to the $x=0$ position. 
- In the second round, he moves towards the $x=2$ and comes back again to $x=0$. 
- Generalizing, in the $k^{th}$ round, he moves from $x=0$ to $x=k$ and then returns back to $x=0$ at the end of the round. This goes on as the game progresses.
For Example, the path of Chef for $3^{rd}$ round is given below.
$0 - 1 - 2 - 3 - 2 - 1 - 0$ 
The overall path followed by Chef would look somewhat like this:
$0 - 1 - 0 - 1 - 2 - 1 - 0 - 1 - 2 - 3 - 2 - 1 - 0 - 1 - 2 - 3 - 4 - 3 - …$
You are given two non-negative integers $N$ and $K$. You have to tell the time at which Chef arrives at $x=N$ for the $K^{th}$ time. 
Note - Chef can not skip a position while visiting the positions.

-----Input:-----
- The first line contains $T$ the number of test cases. Then the test cases follow.
- Each test case contains a single line of two integers $N$ and $K$.

-----Output:-----
For each test case, print a single line containing one integer -- the time taken by the chef to arrive at $x=N$ for the $K^{th}$ time by modulo $1,000,000,007$.

-----Constraints-----
- $1 \le T \le 10^5$
- $0 \le N \le 10^9$
- $1 \le K \le 10^9$

-----Sample Input:-----
5
0 1
1 1
2 1
1 3
4 6

-----Sample Output:-----
0
1
4
5
46

-----Explanation:-----
Test Case 1:

Chef starts the journey from the $N = 0$ at time $t = 0$ and it's the first time $(K = 1)$, he is here. So, the answer is $0$.  
Test Case 2:

Chef starts the journey from the $N = 0$ at time $t = 0$ then goes to $N = 1$ at $t = 1$ and it's the first time $(K = 1)$, he is here. So, the answer is $1$.
Test Case 4:

The path followed by Chef to reach $1$ for the third time is given below.
$0 - 1 - 0 - 1 - 2 - 1$

He reaches $1$ for the third time at $t=5$.

```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 = "import sys\nfrom random import choice,randint\ninp=sys.stdin.readline\nout=sys.stdout.write\nflsh=sys.stdout.flush\n \nsys.setrecursionlimit(10**9)\ninf = 10**20\neps = 1.0 / 10**10\nmod = 10**9+7\ndd = [(-1,0),(0,1),(1,0),(0,-1)]\nddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]\n \ndef MI(): return map(int, inp().strip().split())\ndef LI(): return list(map(int, inp().strip().split()))\ndef LLI(): return [list(map(int, l.split())) for l in sys.stdin.readlines().strip()]\ndef LI_(): return [int(x)-1 for x in inp().strip().split()]\ndef LF(): return [float(x) for x in inp().strip().split()]\ndef LS(): return inp().strip().split()\ndef I(): return int(inp().strip())\ndef F(): return float(inp().strip())\ndef S(): return inp().strip()\ndef pf(s): return out(s+'\\n')\ndef JA(a, sep): return sep.join(map(str, a))\ndef JAA(a, s, t): return s.join(t.join(map(str, b)) for b in a)\n\ndef main():\n    from math import ceil\n    t = I()\n    l = []\n    for _ in range(t):\n        n,k=MI()\n        if n==0:\n            k-=1\n            ans = ((k)*((k+1)))%mod\n            l.append(ans)\n        else:\n            # if k==1:\n            #     ans = ((((n)*((n-1)))%mod)+ n%mod)%mod\n            #     l.append(ans)\n            # else:\n            #     k-=1\n            #     lr = (n%mod+((ceil(k/2)%mod))%mod\n            #     ans = ((lr*((lr-1))%mod\n            #     if k%2!=0:\n            #         ans= (ans%mod + n%mod)%mod\n            #     else:\n            #         ans = ((ans%mod)+((lr+n)%mod))%mod\n            #     l.append(ans)\n            if k%2!=0:\n                lr = k//2\n                l.append(((n*n)%mod+(lr*((2*n)%mod))%mod+(lr*(lr+1))%mod)%mod)\n            else:\n                lr = k//2\n                l.append(((n*n)%mod + (lr*(2*n)%mod)%mod + (lr*(lr-1))%mod)%mod)\n\n    for i in range(t):\n        pf(str(l[i]))\n\ndef __starting_point():\n    main()\n__starting_point()"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 16911