akhauriyash/Code-Regression huggingface dataset:
Determine the total number of digits in the integer (`n>=0`) given as input to the function. For example, 9 is a single digit, 66 has 2 digits and 128685 has 6 digits. Be careful to avoid overflows/underflows.

All inputs will be valid.

```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 digits(n):\n    digits = 0\n    for i in str(n):\n        digits += 1\n    return digits '
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'digits'
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: 5316
The chef was chatting with his friend who was a mathematician.
Chef said "Hi !".

His friend replied that '!' is the symbol of factorial.

Chef had never heard about it and he asked more about it. Then his friend taught him how to calculate the factorial of a number.

Chef loved that But as always he got tired after calculating a few values and asked you to do it for him.

-----Input-----
N : Number of inputs
then N lines with input T

N<10

T<=200

-----Output-----
The result for the corresponding value of T

-----Example-----
Input:
3
5
4
6

Output:
120
24
720

```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=eval(input())\nT=int(T)\nwhile T:\n n=eval(input()) \n total=1\n n=int(n)\n for i in range(1,n+1):\n  total=total*i\n print(total)\n T=T-1\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 17307
There is a big staircase with $N$ steps (numbered $1$ through $N$) in ChefLand. Let's denote the height of the top of step $i$ by $h_i$. Chef Ada is currently under the staircase at height $0$ and she wants to reach the top of the staircase (the top of the last step). However, she can only jump from height $h_i$ to the top of a step at height $h_f$ if $h_f-h_i \le K$. To help Ada, we are going to construct some intermediate steps; each of them may be constructed between any two steps, or before the first step, and have any height. What is the minimum number of steps that need to be added to the staircase so that Ada could reach the top?

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first line of each test case contains two space-separated integers $N$ and $K$.
- The second line contains $N$ space-seperated integers $h_1, h_2, \dots, h_N$.

-----Output-----
For each test case, print a single line containing one integer — the minimum required number of steps.

-----Constraints-----
- $1 \le T \le 64$
- $1 \le N \le 128$
- $1 \le K \le 1,024$
- $1 \le h_i \le 1,024$ for each valid $i$
- $h_i < h_{i+1}$ for each valid $i$

-----Example Input-----
1
4 3
2 4 8 16

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

```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 i in range(int(input())):\n a,b=list(map(int,input().split()))\n y=list(map(int,input().split()))\n s=0\n if y[0]>b:\n  s+=y[0]//b\n  if y[0]%b==0:\n   s-=1\n for j in range(1,a):\n  diff=y[j]-y[j-1]\n  s+=(diff//b)\n  if diff%b==0:\n   s-=1\n print(s)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13227
Raj loves to listen to songs in his free time. It’s his birthday tomorrow and his friend Neelansh wants his gift to be the most unique. Being great at making music, he decides to produce a song for him. However, Raj likes songs according to their beauty. He determines the beauty of the song as the number of times all the octave musical tones are completed in ascending order.

He begins with a jumbled tone of length N and numbers each octave tone as 1,2,3….8.

Neelansh wants to maximize the beauty of the song but since he uses the trial version of the software,
- He cannot change the size of N.
- He cannot introduce any new tone, but can choose any two tones and swap their positions

However, Neelansh just received a mail that he needs to submit all his pending assignments by tomorrow. He has tons of assignments left to do, but he doesn’t want to spoil the idea of his gift. Can you help him? 

-----INPUT-----
- The first line contains a single integer T- the number of test cases  
- The first line of each test case contains a single integer N- the length of the song  
- The second line contains N- space separated integers ai,  ai+1,.....aN 

-----OUTPUT-----
For each test case, print a single line containing one integer- the maximum possible beauty of the song  

-----CONSTRAINTS-----
1<=T<=102
1<=N<=105
1<=a<=8

-----EXAMPLE INPUT-----
2

8

1 2 3 4 5 6 7 8

16

1 2 1 2 3 3 4 4 5 5 6 6 7 8 7 8

-----EXAMPLE OUTPUT-----
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 = 'for _ in range(int(input())):\r\n    n, val = int(input()), list(map(int,input().split()))\r\n    total_ct = 0\r\n    counts = []\r\n    for i in range(1,9):\r\n        counts.append(val.count(i))\r\n    total_ct = min(counts)\r\n    print(total_ct)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13105
Write a function named `repeater()` that takes two arguments (a string and a number), and returns a new string where the input string is repeated that many times.

## Example:

should return

```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 = 'repeater=str.__mul__'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'repeater'
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: 5314
Complete the solution so that it reverses the string passed into it. 

```
'world'  =>  'dlrow'
```

```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 solution(word):\n    reversed_word = ""\n    for letter in reversed(word):\n        reversed_word += letter\n    \n    return reversed_word'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'solution'
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: 5370
Richik$Richik$ has just completed his engineering and has got a job in one of the firms at Sabrina$Sabrina$ which is ranked among the top seven islands in the world in terms of the pay scale. 
Since Richik$Richik$ has to travel a lot to reach the firm, the owner assigns him a number X$X$, and asks him to come to work only on the day which is a multiple of X$X$. Richik joins the firm on 1-st day but starts working from X-th day. Richik$Richik$ is paid exactly the same amount in Dollars as the day number. For example, if Richik$Richik$ has been assigned X=3$X = 3$, then he will be paid 3$3$ dollars and 6$6$ dollars on the 3rd$3rd$ and 6th$6th$ day on which he comes for work. 
On N−th$N-th$ day, the owner calls up Richik$Richik$ and asks him not to come to his firm anymore. Hence Richik$Richik$ demands his salary of all his working days together. Since it will take a lot of time to add, Richik$Richik$ asks help from people around him, let's see if you can help him out. 

-----Input:-----
- First line will contain T$T$, number of testcases. Then the testcases follow. 
- Each testcase contains of a single line of input, two integers X,N$X, N$. 

-----Output:-----
For each testcase, output in a single line which is the salary which Richik$Richik$ demands. 

-----Constraints-----
- 1≤T≤1000$1 \leq T \leq 1000$
- 1≤X<=N≤107$1 \leq X<=N \leq 10^7$

-----Sample Input:-----
1
3 10

-----Sample Output:-----
18

```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())):\r\n    x,n=list(map(int,input().split()))\r\n    nn=n//x\r\n    ss=(nn*(x+x*nn))//2\r\n    if n%x==0:\r\n        print(ss-n)\r\n    else:\r\n        print(ss)\r\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13009
Pankaj likes to eat Ice cream when he is working late into the night. Today has been yet another long day for Pankaj. So, he wants to eat ice cream now. He opens the fridge and sees that he has 2 types of containers holding the ice cream.
The first container is a cone with radius r1 and height h1. There is also a hemisphere on the top of the cone which has the same radius. The other container is a cylindrical with radius r2 and height h2. Pankaj wants to know the amount (volume) of ice cream in both the containers. Since Pankaj is tired after coding all day, you have to help him with this task.

-----Input-----
- The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
- Each test case consists of a single line having the r1, h1, r2 and h2. Each value is given upto 2 decimal places. See example for more information.

-----Output-----
- For each test case, output a single line containing the volumes of the two containers separated by space. The answer is considered correct if it is correct upto 6 decimal places.

-----Constraints-----
- 1 ≤ T ≤ 100
- 0 <  r1, h1, r2, h2 ≤ 100

-----Example-----
Input:
2
1.00 1.00 1.00 1.00
3.02 7.23 5.20 6.00

Output:
3.141592654 3.141592654
126.739919445 509.691992118

```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\npi=3.1415926535897\nt=int(sys.stdin.readline())\nfor tc in range(t):\n    r1,h1,r2,h2=list(map(float,sys.stdin.readline().split()))\n    v=pi*r1*r1*h1/3\n    v+=(pi*r1*r1*r1*4.0/3.0)/2.0\n    c=pi*r2*r2*h2\n    print("%.9f" % v,"%.9f" % c)\n    '
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13185
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 = 't = int(input())\nfor _ in range(t):\n    n = int(input())\n    s = input()\n    count = 0\n    for i in range(len(s)-1):\n        if s[i] == s[i+1]:\n            count += 1\n    print(count)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12977
You will be given a two-dimensional array with row consisting values 0 or 1.  
A move consists of choosing any column or row, and toggling all the 0’s as 1’s and 1’s as 0’s.  
After making the required moves, every row represents a binary number and the score of the matrix will be sum of all the numbers represented as binary numbers in each row.  
Find the highest possible score.  
$Example:$ 
Input:

0 0 1 1

1 0 1 0

1 1 0 0  
Output:

39
Explanation:

Toggled to

1 1 1 1

1 0 0 1

1 1 1 1  
0b1111 + 0b1001 + 0b1111 = 15 + 9 + 15 = 39

-----Input:-----
- First line will contains $m$, $n$ for the size of the 2-D array. 
- Contains $m$ lines of $n$ space-separated values each. 

-----Output:-----
Single integer which is the maximum score obtained by the sum of binary numbers.

-----Constraints-----
- $1 \leq m, n \leq 20$
- $A[i][j] = 1$ or $0$ 

-----Sample Input:-----
3 4  
0 0 1 1  
1 0 1 0  
1 1 0 0  

-----Sample Output:-----
39

```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 = 'R,C=map(int,input().split())\r\nA=[]\r\nfor i in range(R):\r\n    p=list(map(int,input().split()))\r\n    A.append(p)\r\nm, n = len(A), len(A[0])\r\nfor i in range(m):\r\n    if A[i][0] == 0: \r\n        for j in range(n): A[i][j] ^= 1 \r\n        \r\nfor j in range(n): \r\n    cnt=0\r\n    for i in range(m):\r\n        if(A[i][j]==1):\r\n            cnt+=1\r\n    if cnt < m - cnt: \r\n        for i in range(m): A[i][j] ^= 1\r\n\r\n#print(sum(int("".join(map(str, A[i])), 2) for i in range(m)))\r\nres=0\r\nfor i in range(m):\r\n    ans=""\r\n    for j in range(n):\r\n        ans+=str(A[i][j])\r\n    res+=int(ans,2)\r\nprint(res)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13547
Chefu is Chef's little brother, he is 12 years old and he is new to competitive programming.
Chefu is practicing very hard to become a very skilled competitive programmer and win gold medal in IOI.
Now Chefu is participating in a contest and the problem that he is trying to solve states:
Given an array A of N integers, find any i, j such that i <  j 
and Ai + Aj is maximum possible 
unfortunately, there's no much time left before the end of the contest, so Chefu doesn't have time to think of correct solution, so instead, he wrote a solution that selects a random pair (i,  j) (i <  j) and output Ai + Aj. each pair is equiprobable to be selected.
Now Chefu wants your help to calculate the probability that his solution will pass a particular input.

-----Input-----
First line contains an integer T denoting the number of test-cases.
First line of each test-case contains a single integer N
Second line of each test-case contains N space-separated integers A1 A2 ... AN

-----Output-----
For each test-case output a single line containing a single number denoting the probability that Chefu's solution to output a correct answer. your answer will be accepted if the absolute difference between it and correct answer is less than 1e-6

-----Constraints-----
- 1 ≤ T ≤ 100
- 2 ≤ N ≤ 100
- 1 ≤ Ai ≤ 1,000

-----Example-----
Input:
3
4
3 3 3 3
6
1 1 1 2 2 2
4
1 2 2 3

Output:
1.00000000
0.20000000
0.33333333

```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 n=int(input())\n a=list(map(int,input().split()))[:n]\n l=[]\n for j in range(len(a)):\n  for k in range(j+1,len(a)):\n   l.append(a[j]+a[k])\n print(l.count(max(l))/((n*(n-1))/2))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13231
Chef likes strings a lot but he likes palindromic strings more. Today, Chef has two strings A and B, each consisting of lower case alphabets.

Chef is eager to know whether it is possible to choose some non empty strings s1 and s2 where s1 is a substring of A, s2 is a substring of B such that s1 + s2 is a palindromic string. Here '+' denotes the concatenation between the strings.
Note:
A string is a palindromic string if it can be read same both forward as well as backward. To know more about palindromes click here.

-----Input-----
- First line of input contains a single integer T denoting the number of test cases.
- For each test case:
	
- First line contains the string A
- Second line contains the string B.

-----Output-----
For each test case, Print "Yes" (without quotes) if it possible to choose such strings s1 & s2. Print "No" (without quotes) otherwise.


-----Constraints-----
- 1 ≤ T ≤ 10 
- 1 ≤ |A|, |B| ≤ 1000 

-----Subtasks-----
-  Subtask 1: 1 ≤ |A|, |B| ≤ 10 : ( 40 pts )
-  Subtask 2: 1 ≤ |A|, |B| ≤ 1000 : ( 60 pts )

-----Example-----Input
3
abc
abc
a
b
abba
baab

Output
Yes
No
Yes

-----Explanation-----
- Test 1: One possible way of choosing s1 & s2 is s1 = "ab", s2 = "a" such that s1 + s2 i.e "aba" is a palindrome.
- Test 2: There is no possible way to choose s1 & s2 such that s1 + s2 is a palindrome.
- Test 3: You can figure it out yourself.

```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\n\n#def input():    return sys.stdin.readline().strip()\ndef iinput():   return int(input())\n#def rinput():   return map(int, sys.stdin.readline().strip().split()) \n#def get_list(): return list(map(int, sys.stdin.readline().strip().split())) \n\nfor _ in range(iinput()):\n s1=set(input())\n s2=set(input())\n if(len(s1&s2)):\n  print('Yes')\n else:\n  print('No')\n \n \n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13299
You are given a sequence a1, a2, ..., aN. Find the smallest possible value of ai + aj, where 1 ≤ i < j ≤ N.

-----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 description consists of a single integer N.
The second line of each description contains N space separated integers - a1, a2, ..., aN respectively.

-----Output-----
For each test case, output a single line containing a single integer - the smallest possible sum for the corresponding test case.

-----Constraints-----

- T = 105, N = 2 : 13 points.
- T = 105, 2 ≤ N ≤ 10 : 16 points.
- T = 1000, 2 ≤ N ≤ 100 : 31 points.
- T = 10, 2 ≤ N ≤ 105 : 40 points.
- 1 ≤ ai ≤ 106

-----Example-----
Input:
1
4
5 1 3 4

Output:
4

-----Explanation-----
Here we pick a2 and a3. Their sum equals to 1 + 3 = 4.

```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 n = int(input())\n l = list(map(int,input().split()))\n l.sort()\n print(l[0] + l[1])\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13029
Write a program to take two numbers as input and print their difference if the first number is greater than the second number otherwise$otherwise$ print their sum.

-----Input:-----
- First line will contain the first number (N1$N1$)
- Second line will contain the second number (N2$N2$)

-----Output:-----
Output a single line containing the difference of 2 numbers (N1−N2)$(N1 - N2)$ if the first number is greater than the second number otherwise output their sum (N1+N2)$(N1 + N2)$.

-----Constraints-----
- −1000≤N1≤1000$-1000 \leq N1 \leq 1000$
- −1000≤N2≤1000$-1000 \leq N2 \leq 1000$

-----Sample Input:-----
82
28

-----Sample Output:-----
54

```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 = 'a=int(input())\nb=int(input())\nif(a>b):\n    print(a-b)\nelse:\n    print(a+b)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12855
per nextum in unam tum XI conscribementis fac sic

    vestibulo perlegementum da varo.

    morde varo.

    seqis cumula varum.

cis



per nextum in unam tum XI conscribementis fac sic

    seqis decumulamenta da varo.

    varum privamentum fodementum da aresulto.

    varum tum III elevamentum tum V multiplicamentum da bresulto.

    aresultum tum bresultum addementum da resulto.



    si CD tum resultum non praestantiam fac sic

        dictum sic f(%d) = %.2f cis tum varum tum resultum egresso describe.

        novumversum egresso scribe.

    cis

    si CD tum resultum praestantiam fac sic

        dictum sic f(%d) = MAGNA NIMIS! cis tum varum egresso describe.

        novumversum egresso scribe.        

    cis

cis




-----Input-----

The input consists of several integers, one per line. Each integer is between -50 and 50, inclusive.


-----Output-----

As described in the problem statement.


-----Example-----
Input
0
1
-2
-3
-4
-5
-6
-7
-8
-9
10

Output
f(10) = MAGNA NIMIS!
f(-9) = -3642.00
f(-8) = -2557.17
f(-7) = -1712.35
f(-6) = -1077.55
f(-5) = -622.76
f(-4) = -318.00
f(-3) = -133.27
f(-2) = -38.59
f(1) = 6.00
f(0) = 0.00

```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 math\n\nseq = []\nfor _ in range(11):\n\tseq.append(int(input()))\n\nfor _ in range(11):\n\tn = seq.pop()\n\taresult = math.sqrt(abs(n))\n\tbresult = (n ** 3) * 5\n\tresult = aresult + bresult\n\tif result <= 400:\n\t\tprint("f(%d) = %.2f" % (n, result))\n\telse:\n\t\tprint("f(%d) = MAGNA NIMIS!" % n)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13169
You are given a sequence of integers $A_1,A_2,…,A_N$ and a magical non-zero integer $x$
You have to select a subsegment of sequence A (possibly empty), and replace the elements in that subsegment after dividing them by x.
Formally, replace any one subsegment $A_l, A_{l+1}, ..., A_r$ with $A_l/x, A_{l+1}/x, ..., A_r/x$ where $l \leq r$
What is the minimum possible sum you can obtain?
Note: The given operation can only be performed once

-----Input -----
- The first line of the input contains two positive integer n denoting the size of array, and x
denoting the magical integer
- Next line contains $N$ space separated integers

-----Output-----
Single line containing one real number, denoting the minimum possible sum you can obtain. Your answer will be considered correct if its absolute or relative error does not exceed $10^{-2}$

-----Constraints-----
- $1 \leq n \leq 10^3$
- $1 \leq |x| \leq 10^3$
- $ |A_i| \leq 10^3$

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

-----Sample Output-----
0.5

-----Explanation-----
Array 1 -2 3, selecting subsegment {3}, you get 1 -2 1.5, which gives $sum=0.5$

```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,x=list(map(int,input().split()))\na=list(map(int,input().split()))\nmaxi=a[0]\np=0\nfor i in range (n):\n sumi=a[i]\n if (sumi>maxi):\n  maxi=sumi \n  \n for j in range (i+1,n):\n  sumi+=a[j]\n  if (i==0):\n   p+=a[j]\n  if (sumi>maxi):\n   maxi=sumi\n  \n if (sumi>maxi):\n  maxi=sumi \n  \np+=a[0]\n\nprint(p-maxi+maxi/x)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13191
There is a popular apps named “Exbook” like “Facebook”. To sign up in this app , You have to make a strong password with more than 3 digits and less than 10 digits . But I am a pro hacker and so I make a Exbook hacking site . You need to login in this site to hack exbook account and then you will get a portal. You can give any user exbook login link using this site and when anyone login into exbook using your link ,you can see his/her password .
But I made a mistake and so you cannot find original password in your portal . The portal showing you by adding two in every digit . So , now you have to find out the original password of an user if I give you the password which is showing in your portal .

-----Input:-----
The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains a single integer n which is showing in your portal . Mind it , every digit of n is greater than one .

-----Output:-----
Print , original password of user .

-----Sample Input:-----
2
3527
47269

-----Sample Output:-----
1305
25047

```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 t in range(int(input())):\n    n = input()\n    num = ""\n    for c in n:\n        num+=str(int(c)-2)\n    \n    print(num)\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 12909