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Problem68.py
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'''
Magic 5-gon Ring (25%)
6/19/19
95ms
'''
import time
class GonRing:
size = 0
total = 0
outer = None
inner = None
inside_sum = 0
def __init__(self, size, total):
self.size = size
self.total = total
self.outer = []
self.inner = []
self.inside_sum = int(size * total - (2 * size) * (2 * size + 1) / 2)
def __repr__(self):
string = ''
for i in range(0, self.size):
string += (str(self.outer[i]) + str(self.inner[i]) +
str(self.inner[(i + 1) % self.size]))
return string
def set_total(self, total):
self.total = total
self.inside_sum = int(size * total - (2 * size) * (2 * size + 1) / 2)
def used_set(self):
return set(self.outer).union(self.inner)
def clear(self):
self.outer.clear()
self.inner.clear()
def fill(self):
save_inner = self.inner.copy()
save_outer = self.outer.copy()
changed = True
while (changed):
if len(self.inner) == self.size and len(self.outer) == self.size:
return True
changed = False
if len(self.outer) == len(self.inner):
length = len(self.outer)
num = total - self.outer[length - 1] - self.inner[length - 1]
if ((num in range(1, self.size * 2 + 1) and
num not in self.used_set())):
self.inner.append(num)
changed = True
else:
self.inner = save_inner
self.outer = save_outer
return False
elif len(self.inner) == size - 1:
num = self.inside_sum
for i in self.inner:
num -= i
if ((num in range(1, self.size * 2 + 1) and
num not in self.used_set())):
self.inner.append(num)
changed = True
else:
self.inner = save_inner
self.outer = save_outer
return False
elif ((len(self.inner) >= len(self.outer) + 2 or
(len(self.outer) == size - 1 and
len(self.inner) >= len(self.outer) + 1))):
length = len(self.outer)
num = total - (self.inner[(length + 1) % self.size] +
self.inner[length])
if ((num in range(self.outer[0], self.size * 2 + 1) and
num not in self.used_set())):
self.outer.append(num)
''' last_sum = self.inner[size - 1] + self.inner[size - 2]
if ((length == size - 1)): # and
# last_sum + self.outer[size - 1] != total)):
self.inner = save_inner
self.outer = save_outer
return False'''
changed = True
else:
self.inner = save_inner
self.outer = save_outer
return False
return True
start_time = time.perf_counter()
max_str = 0
size = 5
ring = GonRing(size, 1)
for total in range(1, 20):
ring.set_total(total)
for i in range(1, size * 2 + 1):
for j in range(1, size * 2 + 1):
ring.outer.append(i)
if j in ring.used_set():
ring.clear()
continue
ring.inner.append(j)
if ring.fill():
for k in range(1, size * 2 + 1):
if k in ring.used_set():
continue
ring.inner.append(k)
if ring.fill():
for l in range(1, size * 2 + 1):
if l in ring.used_set():
continue
ring.inner.append(l)
if ring.fill():
ring_str = str(ring)
if len(ring_str) == 16 and int(ring_str) > max_str:
max_str = int(ring_str)
ring.inner.pop()
ring.inner.pop()
ring.clear()
print(max_str)
end_time = time.perf_counter()
print('ms: ' + '{:.0f}'.format((end_time - start_time) * 1000))