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Binary arithmetic (+, -) with two's complement
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import random | |
from random import randint | |
print("1-1", "11-11", "11-0", "1-0", sep="\n") | |
for i in range(100): | |
op = random.choice(("+", "-")) | |
if op == "-": | |
a = randint(2**10, 2**20) | |
b = randint(0, a) | |
else: | |
a, b = randint(0, 2**20), randint(0, 2**20) | |
if not randint(1, 12) % 3: | |
print(f"{randint(0, 10) * '0'}{a:b}{op}{randint(0, 10) * '0'}{b:b}") | |
else: | |
print(f"{a:b}{op}{b:b}") | |
print("-1") |
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import re | |
rmzero = (lambda s: (lambda p: p if len(p) > 0 else "0")(s.lstrip("0"))) | |
pad = lambda s, l: "0" * (l - len(s)) + s | |
def twocmp(s): | |
t, i = str.maketrans("01", "10"), s.rfind("1") | |
return s[:i].translate(t) + s[i:] if i != -1 else s | |
def binplus(a, b): | |
flag, res, a, b = False, "", *[[int(d) for d in x] for x in (a, b)] | |
for i in range(len(a)-1, -1, -1): | |
tmp = a[i] + b[i] + 1 if flag else a[i] + b[i] | |
flag = (tmp >= 2) | |
res += str(tmp % 2) | |
return res[::-1] if not flag else (res + "1")[::-1] | |
def binmath(a, b, op): | |
a, b = [rmzero(x) for x in (a, b)] | |
a, b = [pad(x, (l := max(len(a), len(b)))) for x in (a, b)] | |
if op == "-": | |
return rmzero((lambda x: x[len(x) - l:])(binplus(a, twocmp(b)))) # overflow | |
else: | |
return binplus(a, b) | |
while (data := input()) != "-1": | |
n1, op, n2 = re.findall("([01]+)([+-])([01]+)", data)[0] | |
print(binmath(n1, n2, op)) |
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1-1 | |
11-11 | |
11-0 | |
1-0 | |
10100011111111100001-1110001011101101011 | |
1001001000010010000-101001110000100111 | |
10011001111010110100-10010110000001111101 | |
11001010100111001100-100000101101010 | |
1111100000110110001-1011010010010011010 | |
11101110100101010000+11101000101000101011 | |
000000010100101100011111111+0000001010000111001001001 | |
10011101111101100010-1101001110010011100 | |
110101001011011110-1101011110011000 | |
0011011101100001001001-0000001010000010110100100 | |
11000000110000100100+11100000100111111100 | |
11101010110111010100-10110101000000100111 | |
01001001011100101101-0000000000110101110001010101 | |
0000001000111010011011101+0011111011110101111101 | |
011011010111101100100-000000101011000101000010 | |
1101111100001100001-1000111011001111100 | |
000000011100100010100110011-101111010100011011 | |
00000000001000001101101100001+00011011010101011011101 | |
1101010110011011101+1000010110001010011 | |
10001100111110100-11010110010101 | |
0010001100010101001001+00010000100010110011100 | |
11111101100110010110+101011011110110111 | |
110110010101011000+1100100101001011110 | |
1011010101100011100-1001010111111110010 | |
1110011010110111011+110000000100111101 | |
011011101101110001010+00011001111111111100100 | |
111100101100110101-11100111001011010 | |
00101010011100011100+00000000011000000000000010000 | |
11101100010110000100-11000011110100101001 | |
000000000011100000111001000101+011100101110000001100 | |
110101000101010100-11110010100001001 | |
01100111101110010110-0000000111000001100101000 | |
000000011101100101100100001-0000000010010110101100011100 | |
11110000110010000100+11011100110100011101 | |
11111101101011111000-10010100110101110001 | |
10111011101000001011-1001111100111001110 | |
1001111111010010001+10111110011001110 | |
11111010010000001111-10110111111010011001 | |
00000011011000101110101001+000000001100100010001001011 | |
11010111001111000101+1111100111110011000 | |
1010010000000101010-1000101010011001 | |
11000010001110011010+11110001001011011101 | |
11000111001011011110-10011010001100100001 | |
0000000001001000010101001101-00000101111011111001010 | |
000100010011001011010-0000000011100110111100001 | |
10001000000100111010-1010001010010111111 | |
100001011111001100-10010111100100100 | |
10101000011011010111-10100001000001000001 | |
1111110101101001+11111110011001100 | |
00001000100100101100110+000000011011101101101001 | |
10101100101010011110-101100000011100000 | |
11101011001011001000-10011100000010011011 | |
00011010000101001010-00000000111011101100000 | |
0001110111000011001000+001110110111111100010 | |
000000000010101101011100011010-0011010111001111000 | |
000000000011011111110000110101+0000000001101111111101000100 | |
000000000010000100010011101-0000111011001010110 | |
1100111110001001100+01010101111000100111 | |
100000111010010000-1001111000111000 | |
11111000011011100001+1010010000000011110 | |
000000000101110001000101110+00000010011111101000110110 | |
10001000110111101110-1100000000110001 | |
1001111011001011001+10010001110111100010 | |
00001101001101101001010+0101100111001001111 | |
11101010111110000-1010111110101 | |
11001011001100001010-101011011110100011 | |
111001101101110111+110001110010001000 | |
100110110011000-111011000111 | |
11010110011111001100-1001100100110110101 | |
00000000011110100101111100011+00011000000110110111100 | |
00011101111000101000111+000011110000111000011011 | |
000000011111110010010010010-000000010000011110111110011 | |
10111011100101001101+11010010011110100010 | |
10011111000011010111+10011100101010110001 | |
010001000010101111110+10100101000111001000 | |
0001001010000111101100+0011101101010001100111 | |
10101001011011-10001001101001 | |
11000110100010010110-1010110001100111110 | |
10000000100010111100+1110011100001111001 | |
11111000011010011110-11100001100110100110 | |
10011010111100010-10001000000110 | |
11101110011011001011+11010110001110010101 | |
10101110000110011010+1000000101011100001 | |
1000011101011001100-10001011111000 | |
1110000111110001111+11101000000000111100 | |
1010011101100101000+10010010111010101110 | |
110010000111100111-10001001011010111 | |
1001001000000000101-1001000010000110 | |
0000000001011000011101001110-01000001100000111 | |
11110001011010101011-1100101100111110011 | |
000000001001010110111000011+0000001010110100001010010 | |
10000111100011001010+10101000011100000100 | |
10010001011000100-11010001010111 | |
000011010100100010100101+00100001000001010001 | |
1010000001111010011-1000001010011000101 | |
1100110101001011010-111100111010101001 | |
11001101101010100011-1110100000011101100 | |
00000000010100001010001110001+0011111111100010001011 | |
00000000011011111011101001100-000000000111011101000000000 | |
0000001111100010010010010-0000000001001010100011101111 | |
-1 |
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