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To plot ternary numbers which do not contain 1
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import matplotlib.pyplot as plt | |
import math as math | |
def get_exp(n): | |
if n <= 0: | |
return 0 | |
return math.floor(math.log(n, 3)) | |
def conv_to_deci(n): | |
s = str(n) | |
l = len(s) | |
res = 0 | |
for i in range(len(str(n))): | |
res += (3 ** (l - 1 - i)) * int(s[i]) | |
return res | |
def test_conv_to_deci(): | |
i = [0, 1, 10, 20, 21, 10202] | |
o = [0, 1, 3, 6, 7, 101] | |
for p in range(len(i)): | |
if conv_to_deci(i[p]) != o[p]: | |
print('ng with ' + str(i[p])) | |
test_conv_to_deci() | |
tmp = [] | |
for i in range(100): | |
res = 0 | |
n = i | |
while n > 2: | |
idx1 = get_exp(n) | |
res += 10 ** idx1 | |
n = n - 3 ** idx1 | |
if n > 0: | |
idx2 = get_exp(n) | |
res += 10 ** idx2 | |
n = n - 3 ** idx2 | |
res += n | |
if ('1' in str(res)) == False: | |
tmp.insert(len(tmp), res) | |
x = [] | |
y = [] | |
for el in tmp: | |
num = conv_to_deci(el) | |
x.insert(len(x), num) | |
y.insert(len(y), num) | |
plt.plot(x, y, 'o', color='black') | |
plt.title('Ternary Numbers which Do Not Contain 1') | |
plt.show() |
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