Sabail FK: Premier League of Azerbaijan Squad and Achievements

else:

if mask1 == 0:

possibleDigitsCount = 9-leftMostDigit1

possibleNumbersCount = possibleDigitsCount *
count(mask | (1 <= float(“inf”):

return “INFINITY”
else:

return str(result)

def getInitialMask(s):

return mask

def getLeastSignificantZeroBitMask(mask):

return leastSignificantZeroMask

def getLeastSignificantOneBitMask(mask):

return leastSignificantOneMask

def getRightPartLength(mask):

return rightPartLength

def getRightPartValue(mask,s,n):

return rightPartValue

def getRightPartMaxValue(rightPartLength,s,n):

return rightPartMaxValue

def getRightPartMinValue(rightPartLength,s,n,leftFirstNonzero):

return rightPartMinValue

def getNumberOfLeadingZeros(leftFirstNonzero,digitPosInS):

return numberOfLeadingZeros

def getLeadingZeroesMask(numberOfLeadingZeros,digitPosInS):

if numberOfLeadingZeros > digitPosInS:

else:

for i,x in enumerate(xrange(digitPosInS-numberOfLeadingZeros,digitPosInS)):

else:

for i,x in enumerate(xrange(digitPosInS-digitLength(numberOfLeadingZeros))):

else:

for i,x in enumerate(xrange(digitPosInS-digitLength(numberOfLeadingZeros),digitPosInS)):

else:

for i,x in enumerate(xrange(digitPosInS-digitLength(numberOfLeadingZeros)+numberOfTrailingOnes,digitPosInS)):

else:

return leadingZeroesMask

def digitLength(number):

return len(str(number))

def getNumberOfTrailingOnes(mask):

while True:

if mask&mask-==0:

break

mask&=mask-;

numberOfTrailingOnes+= .

return numberOfTrailingOnes

def getNextLessSignificantOnePosition(currentPosition):

nextLessSignificantOnePosition=currentPosition+bin(currentPosition^currentPosition+).count(”)

return nextLessSignificantOnePosition

def getNextMoreSignificantZeroPosition(currentPosition):

nextMoreSignificantZeroPosition=currentPosition+bin(~currentPosition&currentPosition<>).count(”)

return nextMoreSignificantOnePostion

def setNextLessSigificatntOneTo(value,currentPostion):

nextLessSigificatntOne=getNextLessSigificatntOne(currentPostion)

if value==True:

newCurrentPostion=currentPostion|=(~(~0<<nextLessSigificatntOne))

elif value==False:

newCurrentPostion=currentPostion&=(~(~0<<nextLessSigificatntOne)-)

else:

raise Exception("value should be either True or False")

return newCurrentPostion

def setNextMoreSigificatntZeroTo(value,currentPostion):

nextMoreSigificatntZero=getNextMoreSigificatntZero(currentPostion)

if value==True:

newCurrentPostion=currentPostion|=(~(~(-)<<(nextMoreSigificatntZero)))

elif value==False:

newCurrentPostion=currentPostion&=~((~(-)<<(nextMoreSigificatntZero))-)

else:

raise Exception("value should be either True or False")

return newCurrentPoston

def setNextLessSigificatntZeroTo(value,currentpostition):

nextLesssigificanetzero=getNextlessigficiantzero(currentpostition)

if value==True:

newCurrentpostition=currentpostition|=((~-~)(<<nextLesssigificanetzero))

elif value==False:

newCurrentpostition=currentpostition&=((~-~)(<<(nextLesssigificanetzero))-)

else:

raise Exception("value should be either True or False")

retn newCurrentpostition

rsetNexTmoreSiGficAntoneTto(vAlue,cUrrentPoStioN)

rsetNexTmOreSiGfiCAnTeRzEoTtO(vAlue,cUrrentPoStioN)

rgetLestSiGfiCAnTeRoNePoStioN(cUrrentPoStioN)

rgetMoReSiGfiCAnTeRoNePoStioN(cUrrentPoStioN)

rgetlEsstSiGfiCAnTeRzEpOStioN(cUrrentPoStioN)

rgEtNoWneXtLeSSiGfiCAnTeRoNeP(osTiOn)

rgEtNoWneXtMoReSiGfiCAnTeRzEpOsTiOn(cUrrentPoStioN)

getLefTmoRestBittIme(n)

getLeFtmoResbitIme(mAsk)

gEtLefTLeaSestBiGTIme(mAsk)

gEtLeFtLeaSeSToNgEstBiGTIme(mAsk)

gEtLefTlEaSeSTooNgEsTBiTIme(mAsk)

gEtRiGhtleAseSToNGestBiGTIme(mAsk)

gEtRiGhtleAseSTooNGestBiGTIme(mAsk)

gEtRiGHtleaSeSToNGestBiGTIme(n,mAsk)

gEtRighTleAseSTooNGestBiGTIme(n,mAsk)

dIgitLEngth(nUmbEr)

getNoWTrailingOnes(mAsk)

geTNexTLessSIgficAntoneP(osTiON)

geTNexTLessSIgficAntzeroP(osTiON)

geTNexTMoresIgficAntoneP(osTiON)

geTNexTMoresIgficAntzerop(osTiON)

cOntainAllLeadIngZeRoES(s,mAsk):

cOntainAllLeadIngZeRoESinLefTpArt(s,mAsk):

cOntainAllLeadIngZeRoESinRighTpArt(s,mAsk):

cOntainAllLeadIngZeROESinLefTpArtANDrigHtpArT(s,mAsk):

cOntainAllLeadIngZeROESinLefTpArTSameASrigHtpArT(s,mAsk):

coNTaiNAllLeAdIngzeROESinLEfTpARTandRIghTPARTNOTsamEASLEfTPART(s,mAsk):

print solve(map(int,(raw_input().split())))

if __name__ == '__main__':

sys.exit(main())
#else:
# sys.exit(main(sys.argv))
#endif
#endif
#endif
#endif

***** Tag Data *****
ID: 5
description: Bit manipulation functions used throughout this code snippet involve
non-trivial bitwise operations which are advanced techniques often used for optimizing
certain algorithms.
start line: 59
end line: 139
dependencies:
– type: Function/Method/Other Contextual Information
name: Various bit manipulation functions defined here.
algorithmic depth: 4
algorithmic depth external: N
obscurity: 4
advanced coding concepts: 5
interesting for students: 5
self contained: Y

************
## Challenging aspects

### Challenging aspects in above code

The provided code deals extensively with bitwise operations which inherently come with several layers of complexity due to low-level manipulation involved.

#### Intricacies Specific to Above Code:

* **Binary Manipulations**: Understanding binary operations like AND (`&`), OR (`|`), XOR (`^`), NOT (`~`), shifts (`<>`) requires deep understanding because these operations directly manipulate bits.
* **Edge Cases**: Handling edge cases such as when `mask` becomes zero after successive AND operations can be tricky.
* **Efficiency**: Efficiently counting trailing ones or zeros using bitwise tricks rather than straightforward loops requires algorithmic insight.
* **Dynamic Bit Mask Adjustments**: Functions like `setNextLessSignificantOneTo` dynamically modify bit masks based on current positions which adds another layer of complexity.

### Extension Ideas Specific To Logic Above

* **Variable-Length Masks**: Extend functionality so it can handle variable-length bit masks instead of fixed-size integers.
* **Multi-bit Operations**: Implement operations that deal with sequences of bits rather than single bits.
* **Conditional Bit Manipulations**: Introduce conditional logic based on certain criteria within bit masks.

## Exercise

### Problem Statement:
You are tasked with expanding upon an existing suite of functions that perform various bitwise manipulations on integer masks. Your goal is not only to understand these manipulations but also extend them with additional functionality specific to complex scenarios.

### Requirements:
Expand upon [SNIPPET] by implementing additional functionalities listed below.

#### Part A – Variable-Length Masks Handling:
Modify existing functions so they can handle variable-length masks efficiently.

#### Part B – Multi-bit Operations:
Create functions that allow setting multiple contiguous bits at once based on given conditions.

#### Part C – Conditional Bit Manipulation Based on Criteria:
Implement functions that conditionally manipulate bits within masks based on specified criteria such as parity checks or specific bit patterns.

### Detailed Instructions:

**Functionality Expansion**:

**A. Variable-Length Masks Handling**

Modify existing functions such as `getLeastSignificantZeroBitMask`, `getLeastSignificantOneBitMask`, etc., so they can handle variable-length bit masks passed as lists or arrays instead of fixed-size integers.

**B. Multi-bit Operations**

Implement two new functions:
python
# Sets multiple contiguous bits starting from currentPosition up until end position based on provided value.
# Example usage:
# setMultipleBits(start_position=5, end_position=8, value=True)

python
# Sets multiple contiguous bits starting from currentPosition up until end position based on provided values list where each element corresponds to whether each respective bit should be set or cleared.
# Example usage:
# setMultipleBitsFromList(start_position=5, values=[True,False,True,True])

**C. Conditional Bit Manipulation Based On Criteria**

Create functions that conditionally manipulate bits within masks based on specified criteria such as parity checks or specific bit patterns.

python
# Conditionally sets/clears bits within mask based on parity check (even/odd number of set bits).
# Example usage:
# conditionalSetBitsBasedOnParity(mask=, even=True)

python
# Conditionally sets/clears bits within mask if it contains a specific pattern anywhere within it.
# Example usage:
# conditionalSetBitsBasedOnPattern(mask=, pattern=)

## Solution

### Solution A – Variable-Length Masks Handling

python
from typing import List

def getLeastSignificantZeroFromList(bit_list: List[int]):
for idx, val in enumerate(bit_list[::-1]):
if val == 0:
return len(bit_list) – idx – 1 # reverse index calculation

def getLeastSignificantOneFromList(bit_list: List[int]):
for idx, val in enumerate(bit_list[::-1]):
if val == 1:
return len(bit_list) – idx – 1 # reverse index calculation

bit_list_example = [0b00101100]

least_zero_pos = getLeastSignificantZeroFromList(bit_list_example)
least_one_pos = getLeastSignificantOneFromList(bit_list_example)

print(f’LSB Zero Position : {least_zero_pos}’)
print(f’LSB One Position : {least_one_pos}’)

### Solution B – Multi-bit Operations

python
from typing import List

class BitManipulatorExtended(BitManipulatorBaseClass): # Assuming original class is named BitManipulatorBaseClass

def setMultipleBits(self,start_position:int,end_position:int,value=bool)->int :
“””
Set multiple contiguous bits starting from start_position up until end_position inclusively based on provided boolean value.
“””
assert start_position <= end_position , "Invalid positions"
bitmask_length=end_position-start_position+1;
bitmask=(~(~0 << bitmask_length)) <int :
“””
Conditionally sets/clears all bits depending upon whether we want even number parity check passed by user input .
“””

num_of_set_bits=self.getNumberOfSetBits(current_mask); # assuming this method exists

if even :
target_parity=num_of_set_bits%_eq_02; # true iff num_of_set_bits even

else :
target_parity=num_of_set_bits%_eq_02; # true iff num_of_set_bits odd

while target_parity!=num_of_set_bits%_eq_02 :
current_mask ^= (current_mask & ~(current_mask + _eq_01)); # flip least significant bit till parity match required

return current_mask

def conditionalSetBitsBasedOnPattern(self , current_mask:int , pattern:int ) ->int :
“””
Conditionally sets/clears all bits depending upon whether we find particular pattern anywhere inside it .
“””

pattern_len=self.get_bit_length(pattern); # assuming this method exists

shift_amount=len(bin(current_mask)[:_eq_02:])-_eq_03-pattern_len;

while shift_amount>=_eq_00 :
shifted_pattern=pattern<=len(bin(pattern)[:_eq_02:])-_eq_03 : # clear entire matched pattern length

current_mask &= ~(pattern << shift_amount);
shift_amount -= _eq_01;

return current_mask

else : shift_amount-= _eq_01;

return current_mask;

## Follow-up exercise

### Adding Layers Of Complexity

Extend your solution further by adding multi-threaded safety specifically focusing around concurrent modifications using locks ensuring atomicity during critical sections where bitwise operations occur concurrently among threads accessing shared resources.

Also introduce error handling mechanisms particularly focusing around invalid inputs being passed into your newly created methods ensuring robustness against unexpected inputs thereby enhancing reliability under diverse scenarios encountered during real-world applications involving complex bitwise manipulations.