akhauriyash/Code-Regression huggingface dataset:
Chef Loves to listen to remix songs, but currently he had already finished the entire playlist of remix songs.
As Chef is smart, so he thought let's make my own remix songs of the original songs.
Chef is not having much knowledge of making remix songs, so he came up with the simple technique in which he will pick the word which contains the smallest number of characters from the lyrics of the song, and then he will append that word to the start and end of the lyrics, also Chef will insert this word between every two words of the lyrics.
Note: While inserting a new word Chef will also insert extra white-spaces, so that every word in the final remixed lyrics is separated by space.
It is Recommended to use fast Input/Ouput techniques.

-----Input:-----
- The input contains the text $S$, which denotes the lyrics of the song.

-----Output:-----
- Print the Remixed, lyrics as done by Chef.

-----Constraints:-----
- $1 \leq Length of text $S$ \leq 10^7$

-----Sample Input:-----
Mai Hu Jiyaan

-----Sample Output:-----
Hu Mai Hu Hu Hu Jiyaan Hu

```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 = '# cook your dish here\ns=list(input().split())\na=min(s,key=len)\nfor i in s:\n    print(a,i,end=" ")\nprint(a)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12883
Given an alphanumeric string made up of digits and lower case Latin characters only, find the sum of all the digit characters in the string.

-----Input-----
- The first line of the input contains an integer T denoting the number of test cases. Then T test cases follow.
- Each test case is described with a single line containing a string S, the alphanumeric string.

-----Output-----
- For each test case, output a single line containing the sum of all the digit characters in that string.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 1 ≤ |S| ≤ 1000, where |S| is the length of the string S.

-----Example-----
Input:
1
ab1231da

Output:
7

-----Explanation-----
The digits in this string are 1, 2, 3 and 1. Hence, the sum of all of them is 7.

```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 = "t=int(input().strip())\nfor _ in range(t):\n p = input().strip()\n count=0\n for i in p:\n  if not('a'<=i<='z'):\n   count+=int(i)\n print(count)\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12975
Chef loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.

Chef has a positive integer N. He can apply any of the following operations as many times as he want in any order:

-  Add 1 to the number N.

-  Take some digit of N and replace it by any non-zero digit.

-  Add any non-zero leading digit to N.

Find the minimum number of operations that is needed for changing N to the lucky number.

-----Input-----
The first line contains a single positive integer T, the number of test cases. T test cases follow. The only line of each test case contains a positive integer N without leading zeros. 

-----Output-----
For each T test cases print one integer, the minimum number of operations that is needed for changing N to the lucky number.

-----Constraints-----

1 ≤ T ≤ 10

1 ≤ N < 10100000

-----Example-----
Input:
3
25
46
99

Output:
2
1
2

```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 = "# cook your dish here\ntests = int(input())\nfor test in range(tests):\n    n = input().strip()\n    length = len(n)\n    steps = length - (n.count('4') + n.count('7'))\n    print(steps)"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12981
Given an alphanumeric string made up of digits and lower case Latin characters only, find the sum of all the digit characters in the string.

-----Input-----
- The first line of the input contains an integer T denoting the number of test cases. Then T test cases follow.
- Each test case is described with a single line containing a string S, the alphanumeric string.

-----Output-----
- For each test case, output a single line containing the sum of all the digit characters in that string.

-----Constraints-----
- 1 ≤ T ≤ 1000
- 1 ≤ |S| ≤ 1000, where |S| is the length of the string S.

-----Example-----
Input:
1
ab1231da

Output:
7

-----Explanation-----
The digits in this string are 1, 2, 3 and 1. Hence, the sum of all of them is 7.

```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 = 'T = int(input())\nfor _ in range(T):\n s = input()\n tot = 0\n for x in s:\n  if 0<ord(x)-48<10:\n   tot += ord(x) - 48\n print(tot)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12935
A reversed arabic no is one whose digits have been written in the reversed order. However in this any trailing zeroes are omitted. The task at hand here is a simple one. You need to add two numbers which have been written in reversed arabic and return the output back in reversed arabic form, assuming no zeroes were lost while reversing.


-----Input-----
The input consists of N cases. The first line of the input contains only a positive integer N. Then follow the cases. Each case consists of exactly one line with two positive integers seperated by space. These are the reversednumbers you are to add.


-----Output-----
For each case, print exactly one line containing only one integer- the reversed sum of two reversed numbers. Omit any leading zeroes in the output.


-----Example-----
Input:
1
24 1

Output:
34

```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 = 'for _ in range(int(input())):\n n,m=input().split()\n n=int(n[::-1])\n m=int(m[::-1])\n ans=str(n+m)[::-1]\n print(int(ans))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13021
Implement a function which convert the given boolean value into its string representation.

```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

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def boolean_to_string(b):\n    out = \'False\'\n    if b:\n        out = "True"\n    return out\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'boolean_to_string'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5278
You are given a sequence $A_1, A_2, \ldots, A_N$. For each valid $i$, the star value of the element $A_i$ is the number of valid indices $j < i$ such that $A_j$ is divisible by $A_i$.
Chef is a curious person, so he wants to know the maximum star value in the given sequence. Help him find it.

-----Input-----
- The first line of the input contains a single integer $T$ which denotes the number of test cases.
- The first line of each test case contains a single integer $N$ .
- The second line of each test case contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.

-----Output-----
For each test case, print a single line containing one integer ― the maximum star value.

-----Constraints-----
- $1 \le T \le 10$
- $1 \le N \le 10^5$
- $1 \le A_i \le 10^6$ for each valid $i$ 
- Sum of $N$ over all test cases does not exceed $100,000$.

-----Subtasks-----
Subtask #1 (20 points): sum  of $N$ over all test cases does not exceed $5,000$
Subtask #2 (80 points): original constraints

-----Example Input-----
1
7
8 1 28 4 2 6 7

-----Example Output-----
3

-----Explanation-----
$A_5 = 2$ divides $4$, $28$ and $8$, so its star value is $3$. There is no element with a higher star value.

```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 = 'for _ in range(int(input())):\n n=int(input())\n a=list(map(int,input().split()))\n h=[0]*1000001\n m=0\n for j in range(n-1,1,-1):\n  x=j-1\n  c=0\n  if h[a[j]]==0:\n   while(x>=0):\n    if a[x]%a[j]==0:\n     h[a[x]]=1\n     c=c+1\n    x=x-1\n   m=max(m,c)\n   h[a[j]]=1\n print(m)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 8005708
You are given a set of n pens, each of them can be red, blue, green, orange, and violet in color. Count a minimum number of pens that should be taken out from the set so that any two neighboring pens have different colors. Pens are considered to be neighboring if there are no other pens between them.

-----Input:-----
- 
The first line contains t denoting the number of test cases.
- 
The first line of each test case will contain a single integer n.
- 
The second line of each test case will contain a string s.
(s contains only 'R', 'B', 'G', 'O', and 'V' characters denoting red, blue, green, orange, and violet respectively)

-----Output:-----
For each test case, print single line containing one integer - The minimum number of pens that need to be taken out.

-----Constraints-----
- $1 \leq T \leq 100$
- $1 \leq n \leq 1000$

-----Sample Input:-----
2
5
RBBRG
5
RBGOV

-----Sample Output:-----
1
0

-----EXPLANATION:-----
In first test case, two blue pens are neighboring each other, if we take out any one of them then the string will be RBRG in which each pen has different neighbors.
In second test case, no pen needs to be taken out as each pen has different neighbors.

```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 = 'try:\r\n    t=int(input())\r\n    for _ in range(t):\r\n        n=int(input())\r\n        s=list(str(input()))[:n]\r\n        i,c=0,0\r\n        while(True):\r\n            if(i>=len(s)-1):\r\n                break\r\n            if(s[i]==s[i+1]):\r\n                c+=1\r\n            i+=1\r\n        print(c)                \r\nexcept:\r\n    pass'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13061
There are $5$ cities in the country.
The map of the country is given below.
The tour starts from the red city.

Each road is associated with a character.
Initially, there is an empty string.
Every time a road has been travelled the character associated gets appended to the string.
At the green city either the string can be printed or the tour can be continued.
In the problem, you are given a string tell whether it is possible to print the string while following the rules of the country?

-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow. 
- Each testcase contains a single line of input, a string $ s  $. The string consists only of $0's$ and $1's$.

-----Output:-----
For each testcase, output "YES" or "NO" depending on the input.

-----Constraints-----
- 
$1 \leq T \leq 10000$
- 
$1 \leq length of each string \leq 10000$
- 
$ 1 \leq Summation length \leq 10^5$

-----Sample Input:-----
1
100

-----Sample Output:-----
NO

-----EXPLANATION:-----

```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 = 't=int(input())\nfor i in range(t):\n s=str(input())\n n=len(s)\n if(n<4):\n  print("NO")\n elif(s[n-4]!=\'0\' and s[n-3]==\'0\' and s[n-2]==\'0\' and s[n-1]==\'0\'):\n  print("YES")\n else:\n  print("NO")'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13043
Complete the method that takes a boolean value and return a `"Yes"` string for `true`, or a `"No"` string for `false`.

```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

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def bool_to_word(boolean):\n    yess = str(boolean)\n    if yess == "True":\n        return \'Yes\'\n    else:\n        return \'No\''
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'bool_to_word'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5312
Dexter, being irritated by DD, gave her a lucrative game to play to keep her busy.
There are $N$ bags numbered $1$ to $N$. The $i_{th}$ bag contains $A_i$ coins. The bags are placed in a circular order such that the $N_{th}$ bag is adjacent to the $1^{st}$ bag. 
DD can select $K$ consecutive adjacent bags and take all the coins in them.   Help her find the maximum number of coins she can take by making the ideal choice.
Note that the selected bags must be consecutive. Since they are placed in circular order, bag number $1$ and $N$ are considered to be consecutive.

-----Input:-----
- First-line will contain $T$, the number of test cases. Then the test cases follow. 
- First-line contains $N$ and $K$.
- Second-line contains $N$ numbers $A_1, A_2,...,A_N$,  

-----Output:-----
For each test case, output in a single line, the maximum money that can be collected by DD.

-----Constraints-----
- $1 \leq T \leq 100$
- $5 \leq N \leq 10^5$
- $1 \leq K < N$
- $1 \leq A_i \leq 10^5$
Sum of $N$ over all test cases is less than $10^6$

-----Sample Input:-----
1
5 3
8 6 9 4 10

-----Sample Output:-----
24

-----EXPLANATION:-----
The ideal choice would be to take the last bag with $10$ coins and the first $2$ bags with $8$ and $6$ coins.

```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 = '# cook your dish here\nfor _ in range(int(input())):\n    n , k = map(int,input().split())\n    li = list(map(int,input().split()))\n    s = 0\n    s = sum(li[0:k])\n    m = s\n    for i in range(n-1):\n        if(k + i >= n):\n            s = s - li[i] + li[k + i - n]\n        else:\n            s = s - li[i] + li[k + i]\n        if(s > m):\n            m = s\n    print(m)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13213
=====Problem Statement=====
The included code stub will read an integer, n, from STDIN.
Without using any string methods, try to print the following:
123...n
Note that "" represents the consecutive values in between.

=====Example=====
n = 5
Print the string 12345.

=====Input Format=====
The first line contains an integer n.

=====Constraints=====
1≤n≤150

=====Output Format=====
Print the list of integers from 1 through n as a string, without spaces.

```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 = 'n=int(input())\nar=range(1,n+1)\nfor i in ar:\n    print(i,end="")\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12819
The chef is trying to solve some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.

-----Input:-----
- First-line will contain $T$, the number of test cases. Then the test cases follow. 
- Each test case contains a single line of input, one integer $K$. 

-----Output:-----
For each test case, output as the pattern.

-----Constraints-----
- $1 \leq T \leq 100$
- $1 \leq K \leq 100$

-----Sample Input:-----
2
2
4

-----Sample Output:-----
2
21
210
21
2
4
43
432
4321
43210
4321
432
43
4

-----EXPLANATION:-----
No need, else pattern can be decode easily.

```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 = 't=int(input())\r\nfor _ in range(t):\r\n    n = int(input())\r\n    for i in range(n+1):\r\n        b = n\r\n        for space in range(n-i):\r\n            print(" ",end="")\r\n        for j in range(i+1):\r\n            print(b,end="")\r\n            b-=1\r\n        print()\r\n    for l in range(n):\r\n        a = n\r\n        for space1 in range(0,l+1):\r\n            print(" ",end="")\r\n        for k in range(n-l):\r\n            print(a,end="")\r\n            a-=1\r\n        \r\n        print()'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13207
Little Petya likes points a lot. Recently his mom has presented him n points lying on the line OX. Now Petya is wondering in how many ways he can choose three distinct points so that the distance between the two farthest of them doesn't exceed d.

Note that the order of the points inside the group of three chosen points doesn't matter.


-----Input-----

The first line contains two integers: n and d (1 ≤ n ≤ 10^5; 1 ≤ d ≤ 10^9). The next line contains n integers x_1, x_2, ..., x_{n}, their absolute value doesn't exceed 10^9 — the x-coordinates of the points that Petya has got.

It is guaranteed that the coordinates of the points in the input strictly increase.


-----Output-----

Print a single integer — the number of groups of three points, where the distance between two farthest points doesn't exceed d.

Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.


-----Examples-----
Input
4 3
1 2 3 4

Output
4

Input
4 2
-3 -2 -1 0

Output
2

Input
5 19
1 10 20 30 50

Output
1



-----Note-----

In the first sample any group of three points meets our conditions.

In the seconds sample only 2 groups of three points meet our conditions: {-3, -2, -1} and {-2, -1, 0}.

In the third sample only one group does: {1, 10, 20}.

```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 = 'n, d = map(int, input().split())\nd += 1\nt = list(map(int, input().split())) + [1000000001 + d]\ns, j = 0, 2\nfor i in range(n - 2):\n    while t[j] - t[i] < d: j += 1\n    k = j - i - 1\n    if k > 1: s += k *(k - 1)\nprint(s // 2)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13147
Given an array A1,A2...AN, you have to print the size of the largest contiguous subarray such that 
GCD of all integers in that subarray is 1.

Formally,
For a subarray Ai,Ai+1...Aj where 1 ≤ i < j ≤ N to be valid: GCD(Ai,Ai+1...Aj) should be 1. You have to print the size of the largest valid subarray.
If no valid subarray exists, output -1.
Note:A single element is not considered as a subarray according to the definition of this problem.

-----Input-----
First line contains T, the number of testcases. Each testcase consists of N in one line followed by N integers in the next line.

-----Output-----
For each testcase, print the required answer in one line.

-----Constraints-----
- 1 ≤ T ≤ 10
- 2 ≤ N ≤ 105
- 1 ≤ Ai ≤ 105

-----Example-----
Input:
2
2
7 2
3
2 2 4

Output:
2
-1

-----Explanation-----
Example case 1.GCD(2,7)=1. So the subarray [A1,A2] is valid.
Example case 2.No subarray satisfies.
Note: Use scanf/print instead of cin/cout. Large input files.

```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 math import gcd\n\nT = int(input())\nans = []\n\nfor _ in range(T):\n N = int(input())\n A = [int(i) for i in input().split()]\n\n # isGcd = False\n a = A[0]\n for i in range(1,N):\n  a = gcd(a,A[i])\n\n if(a==1):\n  ans.append(N)\n else:\n  ans.append(-1)\n\nfor i in ans:\n print(i)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13139
Chef has just started Programming, he is in first year of Engineering. Chef is reading about Relational Operators. 

Relational Operators are operators which check relatioship between two values. Given two numerical values A and B you need to help chef in finding the relationship between them that is, 

- First one is greater than second or,
- First one is less than second or,
- First and second one are equal.

-----Input-----
First line contains an integer T, which denotes the number of testcases. Each of the T lines contain two integers A and B. 

-----Output-----
For each line of input produce one line of output. This line contains any one of the relational operators

'<' , '>' , '='.

-----Constraints-----

- 1 ≤ T ≤ 10000
- 1 ≤ A, B ≤ 1000000001

-----Example-----
Input:
3
10 20
20 10
10 10

Output:
<
>
=

-----Explanation-----
Example case 1. In this example 1 as 10 is lesser than 20.

```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 = "# cook your dish here\nt=int(input())\nfor i in range(t):\n    a,b=map(int,input().split())\n    if(a>b):\n        print('>')\n    elif(a<b):\n        print('<')\n    else:\n        print('=')"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12965
There is an integer sequence of length 2^N: A_0, A_1, ..., A_{2^N-1}. (Note that the sequence is 0-indexed.)
For every integer K satisfying 1 \leq K \leq 2^N-1, solve the following problem:
 - Let i and j be integers. Find the maximum value of A_i + A_j where 0 \leq i < j \leq 2^N-1 and (i or j) \leq K.
Here, or denotes the bitwise OR.

-----Constraints-----
 - 1 \leq N \leq 18
 - 1 \leq A_i \leq 10^9
 - All values in input are integers.

-----Input-----
Input is given from Standard Input in the following format:
N
A_0 A_1 ... A_{2^N-1}

-----Output-----
Print 2^N-1 lines.
In the i-th line, print the answer of the problem above for K=i.

-----Sample Input-----
2
1 2 3 1

-----Sample Output-----
3
4
5

For K=1, the only possible pair of i and j is (i,j)=(0,1), so the answer is A_0+A_1=1+2=3.
For K=2, the possible pairs of i and j are (i,j)=(0,1),(0,2).
When (i,j)=(0,2), A_i+A_j=1+3=4. This is the maximum value, so the answer is 4.
For K=3, the possible pairs of i and j are (i,j)=(0,1),(0,2),(0,3),(1,2),(1,3),(2,3) .
When (i,j)=(1,2), A_i+A_j=2+3=5. This is the maximum value, so the answer is 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 = 'n = int(input())\na = list(map(int, input().split()))\nm = [[ai] for ai in a]\nfor d in range(n):\n    for s in range(1 << n):\n        if s >> d & 1 == 0:\n            t = s | 1 << d\n            m[t] = sorted(m[t] + m[s])[-2:]\nfor k in range(1, 1 << n):\n    ans = sum(m[k])\n    for d in range(n):\n        if k >> d & 1 == 1:\n            t = k ^ 1 << d  | (1 << d) - 1\n            ans = max(ans, sum(m[t]))\n    print(ans)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13311
Given an array of integers, find the one that appears an odd number of times.

There will always be only one integer that appears an odd number of times.

```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

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def find_it(seq):\n    for elem in set(seq):\n        if seq.count(elem) % 2 == 1:\n            return elem\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'find_it'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5582