
'''simple docstring'''







import numpy as np





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_="utf-8"					,  lowerCAmelCase_="surrogatepass"	):
    UpperCamelCase__      =			bin(int.from_bytes(text.encode(lowerCAmelCase_					,  lowerCAmelCase_	)					,  "big"	)	)[2:]
    return bits.zfill(8 * ((len(lowerCAmelCase_	) + 7) // 8)	)





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_="utf-8"					,  lowerCAmelCase_="surrogatepass"	):
    UpperCamelCase__      =			int(lowerCAmelCase_					,  2	)
    return n.to_bytes((n.bit_length() + 7) // 8					,  "big"	).decode(lowerCAmelCase_					,  lowerCAmelCase_	) or "\0"





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_	):
    if size_par + len(lowerCAmelCase_	) <= 2**size_par - (len(lowerCAmelCase_	) - 1):
        raise ValueError("size of parity don't match with size of data"	)

    UpperCamelCase__      =			[]
    UpperCamelCase__      =			[]
    UpperCamelCase__      =			[bin(lowerCAmelCase_	)[2:] for x in range(1					,  size_par + len(lowerCAmelCase_	) + 1	)]

    # sorted information data for the size of the output data
    UpperCamelCase__      =			[]
    # data position template + parity
    UpperCamelCase__      =			[]
    # parity bit counter
    UpperCamelCase__      =			0
    # counter position of data bits
    UpperCamelCase__      =			0

    for x in range(1					,  size_par + len(lowerCAmelCase_	) + 1	):
        # Performs a template of bit positions - who should be given,
        # and who should be parity
        if qtd_bp < size_par:
            if (np.log(lowerCAmelCase_	) / np.log(2	)).is_integer():
                data_out_gab.append("P"	)
                UpperCamelCase__      =			qtd_bp + 1
            else:
                data_out_gab.append("D"	)
        else:
            data_out_gab.append("D"	)

        # Sorts the data to the new output size
        if data_out_gab[-1] == "D":
            data_ord.append(data[cont_data]	)
            cont_data += 1
        else:
            data_ord.append(lowerCAmelCase_	)

    # Calculates parity
    UpperCamelCase__      =			0  # parity bit counter
    for bp in range(1					,  size_par + 1	):
        # Bit counter one for a given parity
        UpperCamelCase__      =			0
        # counter to control the loop reading
        UpperCamelCase__      =			0
        for x in data_ord:
            if x is not None:
                try:
                    UpperCamelCase__      =			(bin_pos[cont_loop])[-1 * (bp)]
                except IndexError:
                    UpperCamelCase__      =			"0"
                if aux == "1" and x == "1":
                    cont_bo += 1
            cont_loop += 1
        parity.append(cont_bo % 2	)

        qtd_bp += 1

    # Mount the message
    UpperCamelCase__      =			0  # parity bit counter
    for x in range(0					,  size_par + len(lowerCAmelCase_	)	):
        if data_ord[x] is None:
            data_out.append(str(parity[cont_bp]	)	)
            cont_bp += 1
        else:
            data_out.append(data_ord[x]	)

    return data_out





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_	):
    UpperCamelCase__      =			[]
    # Parity bit counter
    UpperCamelCase__      =			0
    # Counter p data bit reading
    UpperCamelCase__      =			0
    # list of parity received
    UpperCamelCase__      =			[]
    UpperCamelCase__      =			[]

    for x in range(1					,  len(lowerCAmelCase_	) + 1	):
        # Performs a template of bit positions - who should be given,
        #  and who should be parity
        if qtd_bp < size_par and (np.log(lowerCAmelCase_	) / np.log(2	)).is_integer():
            data_out_gab.append("P"	)
            UpperCamelCase__      =			qtd_bp + 1
        else:
            data_out_gab.append("D"	)

        # Sorts the data to the new output size
        if data_out_gab[-1] == "D":
            data_output.append(data[cont_data]	)
        else:
            parity_received.append(data[cont_data]	)
        cont_data += 1

    # -----------calculates the parity with the data
    UpperCamelCase__      =			[]
    UpperCamelCase__      =			[]
    UpperCamelCase__      =			[bin(lowerCAmelCase_	)[2:] for x in range(1					,  size_par + len(lowerCAmelCase_	) + 1	)]

    #  sorted information data for the size of the output data
    UpperCamelCase__      =			[]
    # Data position feedback + parity
    UpperCamelCase__      =			[]
    # Parity bit counter
    UpperCamelCase__      =			0
    # Counter p data bit reading
    UpperCamelCase__      =			0

    for x in range(1					,  size_par + len(lowerCAmelCase_	) + 1	):
        # Performs a template position of bits - who should be given,
        # and who should be parity
        if qtd_bp < size_par and (np.log(lowerCAmelCase_	) / np.log(2	)).is_integer():
            data_out_gab.append("P"	)
            UpperCamelCase__      =			qtd_bp + 1
        else:
            data_out_gab.append("D"	)

        # Sorts the data to the new output size
        if data_out_gab[-1] == "D":
            data_ord.append(data_output[cont_data]	)
            cont_data += 1
        else:
            data_ord.append(lowerCAmelCase_	)

    # Calculates parity
    UpperCamelCase__      =			0  # parity bit counter
    for bp in range(1					,  size_par + 1	):
        # Bit counter one for a certain parity
        UpperCamelCase__      =			0
        # Counter to control loop reading
        UpperCamelCase__      =			0
        for x in data_ord:
            if x is not None:
                try:
                    UpperCamelCase__      =			(bin_pos[cont_loop])[-1 * (bp)]
                except IndexError:
                    UpperCamelCase__      =			"0"
                if aux == "1" and x == "1":
                    cont_bo += 1
            cont_loop += 1
        parity.append(str(cont_bo % 2	)	)

        qtd_bp += 1

    # Mount the message
    UpperCamelCase__      =			0  # Parity bit counter
    for x in range(0					,  size_par + len(lowerCAmelCase_	)	):
        if data_ord[x] is None:
            data_out.append(str(parity[cont_bp]	)	)
            cont_bp += 1
        else:
            data_out.append(data_ord[x]	)

    UpperCamelCase__      =			parity_received == parity
    return data_output, ack









'''simple docstring'''







import heapq





def 						snake_case__ (lowerCAmelCase_					,  lowerCAmelCase_					,  lowerCAmelCase_	):
    UpperCamelCase__      =			[(0, start)]  # cost from start node,end node
    UpperCamelCase__      =			set()
    while heap:
        ((UpperCamelCase__)    ,  (UpperCamelCase__))      =			heapq.heappop(lowerCAmelCase_	)
        if u in visited:
            continue
        visited.add(lowerCAmelCase_	)
        if u == end:
            return cost
        for v, c in graph[u]:
            if v in visited:
                continue
            UpperCamelCase__      =			cost + c
            heapq.heappush(lowerCAmelCase_					,  (next_item, v)	)
    return -1


lowercase__     :  Any    					=			{
    'A': [['B', 2], ['C', 5]],
    'B': [['A', 2], ['D', 3], ['E', 1], ['F', 1]],
    'C': [['A', 5], ['F', 3]],
    'D': [['B', 3]],
    'E': [['B', 4], ['F', 3]],
    'F': [['C', 3], ['E', 3]],
}
lowercase__     :  Optional[int]    					=			{
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['F', 3]],
    'F': [],
}
lowercase__     :  Union[str, Any]    					=			{
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['G', 2]],
    'F': [],
    'G': [['F', 1]],
}

lowercase__     :  Union[str, Any]    					=			dijkstra(G, 'E', 'C')
print(short_distance)  # E -- 3 --> F -- 3 --> C == 6

lowercase__     :  Optional[int]    					=			dijkstra(Ga, 'E', 'F')
print(short_distance)  # E -- 3 --> F == 3

lowercase__     :  Any    					=			dijkstra(Ga, 'E', 'F')
print(short_distance)  # E -- 2 --> G -- 1 --> F == 3

if __name__ == "__main__":
      import doctest

      doctest.testmod()




