def test_treeset(self):
ts = TreeSet([3,7,2,7,1,3])
self.assertEqual(ts, [1, 2, 3, 7])
ts.add(4)
self.assertEqual(ts, [1, 2, 3, 4, 7])
ts.add(4)
self.assertEqual(ts, [1, 2, 3, 4, 7])
ts.remove(7)
self.assertEqual(ts, [1, 2, 3, 4])
ts.remove(5)
self.assertEqual(ts, [1, 2, 3, 4])
ts.addAll([3,4,5,6])
self.assertEqual(ts, [1, 2, 3, 4, 5, 6])
ts.pop(3)
self.assertEqual(ts, [1, 2, 3, 5, 6])
self.assertEqual(ts[0], 1)
self.assertEqual(ts[-1], 6)
self.assertTrue(1 in ts)
self.assertFalse(100 in ts)
for i, element in enumerate(TreeSet([1,3,1])):
if i==0:
self.assertEqual(element, 1)
elif i==1:
self.assertEqual(element, 3)
else:
raise Exception
ts_copy = ts.clone()
self.assertEqual(ts, [1, 2, 3, 5, 6])
self.assertEqual(ts.floor(4), 3)
self.assertEqual(ts.ceiling(4), 5)
self.assertEqual(ts.floor(3), 3)
self.assertEqual(ts.ceiling(3), 3)
ts.clear()
self.assertEqual(ts._treeset, [])
def test_treeset(self):
ts = TreeSet([3, 7, 2, 7, 1, 3])
self.assertEqual(ts, [1, 2, 3, 7])
ts.add(4)
self.assertEqual(ts, [1, 2, 3, 4, 7])
ts.add(4)
self.assertEqual(ts, [1, 2, 3, 4, 7])
ts.remove(7)
self.assertEqual(ts, [1, 2, 3, 4])
ts.remove(5)
self.assertEqual(ts, [1, 2, 3, 4])
ts.addAll([3, 4, 5, 6])
self.assertEqual(ts, [1, 2, 3, 4, 5, 6])
ts.pop(3)
self.assertEqual(ts, [1, 2, 3, 5, 6])
self.assertEqual(ts[0], 1)
self.assertEqual(ts[-1], 6)
self.assertTrue(1 in ts)
self.assertFalse(100 in ts)
for i, element in enumerate(TreeSet([1, 3, 1])):
if i == 0:
self.assertEqual(element, 1)
elif i == 1:
self.assertEqual(element, 3)
else:
raise Exception
ts_copy = ts.clone()
self.assertEqual(ts, [1, 2, 3, 5, 6])
self.assertEqual(ts.floor(4), 3)
self.assertEqual(ts.ceiling(4), 5)
self.assertEqual(ts.floor(3), 3)
self.assertEqual(ts.ceiling(3), 3)
ts.clear()
self.assertEqual(ts._treeset, [])
class TreeMap(dict):
"""
"TreeMap" is a dictionary with sorted keys similar to java TreeMap.
Keys, iteration, items, values will all return values ordered by key.
Otherwise it should behave just like the builtin dict.
"""
def __init__(self, seq=None, **kwargs):
if seq is None:
super().__init__(**kwargs)
else:
super().__init__(seq, **kwargs)
self.sorted_keys = TreeSet(super().keys())
def __setitem__(self, key, value):
super().__setitem__(key, value)
self.sorted_keys.add(key)
def __delitem__(self, key):
super().__delitem__(key)
self.sorted_keys.remove(key)
def keys(self):
return self.sorted_keys
def items(self):
return [(k, self[k]) for k in self.sorted_keys]
def __iter__(self):
for k in self.sorted_keys:
yield k
def values(self):
for k in self.sorted_keys:
yield self[k]
def clear(self):
super().clear()
self.sorted_keys.clear()
def test_remove(self):
treesetA = TreeSet()
for i in [5, 19, 21, 25]:
treesetA.add(i)
treesetA.remove(21)
treesetB = TreeSet()
for i in [5, 19, 25]:
treesetB.add(i)
self.assertEquals(treesetA, treesetB)
treesetA.remove(5)
treesetA.remove(25)
treesetC = TreeSet()
for i in [19]:
treesetC.add(i)
self.assertEquals(treesetA, treesetC)
treesetA.remove(19)
self.assertTrue(treesetA.isempty())
def sweep_line_algorithm(self):
self.current = Point()
pointsPQ = PriorityQueue()
tree = TreeSet()
pointsPQ.pushAll([seg.p for seg in self.segments])
pointsPQ.pushAll([seg.q for seg in self.segments])
res = 0
#print [str(x) for x in pointsPQ]
while not pointsPQ.isEmpty():
self.current.__update__(pointsPQ.pop())
#print "Round", current
if self.current.status == 'left':
#print "Adding", self.current.segment
low, high = tree.add_high_low(self.current.segment)
low = tree.lower(self.current.segment)
high = tree.higher(self.current.segment)
#print "Actual:", self.current.segment
#print "Low:", low, self.current.segment.intersect(low) if low else False
#print "High:", high, self.current.segment.intersect(high) if high else False
if low:
if self.current.segment.intersect(low):
a = self.current.segment.intersection_point(low)
#print "Adding a:", a, self.current.segment, low
pointsPQ.push(a)
if high:
if self.current.segment.intersect(high):
a = self.current.segment.intersection_point(high)
#print "Adding 2:", a, self.current.segment, high
pointsPQ.push(a)
elif self.current.status == "right":
low = tree.lower(self.current.segment)
high = tree.higher(self.current.segment)
if low and high:
if low.intersect(high):
a = low.intersection_point(high)
#print "Adding 3:", a, low, high
pointsPQ.push(a)
tree.remove(self.current.segment)
#print "Removing", self.current.segment
elif self.current.status == "int":
# exchange the position in tree of the two segments intersecting in current
s1, s2 = self.current.segment
#print "Between, swapping:", str(s1), str(s2)
tree.swap(s1, s2)
#print "After swap:", s1, s2, s1 is tree.lower(s2), s2 is tree.lower(s1)
#print "Modifying segments starts"
old_s1 = s1.p.node
old_s2 = s2.p.node
s1.set_p_node(self.current.node)
s2.set_p_node(self.current.node)
#print "Tree after modification:", [str(x) for x in tree]
# s1
if s1 is tree.lower(s2):
#print "... s1, s2, ..."
low = tree.lower(s1)
#print "s1:", s1, "low:", low, s1.intersect(low) if low else False
if low is not None:
if s1.intersect(low):
pointsPQ.push(s1.intersection_point(low))
high = tree.higher(s2)
#print "s2:", s2, "high:", high, s2.intersect(high) if high else False
if high is not None:
if s2.intersect(high):
pointsPQ.push(s2.intersection_point(high))
elif s2 is tree.lower(s1):
#print "... s2, s1, ..."
high = tree.higher(s1)
#print "s1:", s1, "high:", high, s1.intersect(high) if high else False
if high is not None:
if s1.intersect(high):
pointsPQ.push(s1.intersection_point(high))
low = tree.lower(s2)
#print "s2:", s2, "low:", low, s2.intersect(low) if low else False
if low is not None:
if s2.intersect(low):
pointsPQ.push(s2.intersection_point(low))
else:
print "Error" #raise SweepPlaneException("Intersection point error!")
res += 1
s1.set_p_node(old_s1)
s2.set_p_node(old_s2)
else:
print "Error 2" #raise SweepPlaneException("Node without status!")
#print "Tree", [str(x) for x in tree]
#print ""
self.nodes = self.nodes[:self.original_n_nodes]
return res
def player_split_get_teams_scores(A):
#sort the array input
A.sort()
#initialize the variables
partition1 = list()
partition2 = list()
i = 0
j = len(A)-1
part1Sum = 0
part2Sum = 0
diffSum = 0
unused = TreeSet([])
for i in range (len(A)):
unused.add(i)
while len(unused) > 0:
i = unused[0]
j = unused[-1]
diffSum = part1Sum-part2Sum
#special case handling when the array is not multiple of 4 then
if len(unused) < 4:
#remaining item placed smaller partition
if len(unused) == 1:
if diffSum > 0:
partition2.append(A[i])
part2Sum += A[i]
else:
partition1.append(A[i])
part1Sum += A[i]
#max in smaller and min in larger partition
elif len(unused) == 2:
maxx = max(A[i], A[j])
minn = min(A[i], A[j])
if diffSum > 0:
partition2.append(maxx)
partition1.append(minn)
part2Sum += maxx
part1Sum += minn
else:
partition1.append(maxx)
partition2.append(minn)
part1Sum += maxx
part2Sum += minn
#min, middle in smaller particion and max in larger particion
elif len(unused) == 3:
unused.remove(i)
unused.remove(j)
middle = unused[0]
if diffSum > 0:
if A[i]+A[middle] > A[j]:
partition2.append(A[i])
partition2.append(A[middle])
partition1.append(A[j])
part2Sum += A[i]+A[middle]
part1Sum += A[j]
else:
partition2.append(A[j])
partition1.append(A[i])
partition1.append(A[middle])
part1Sum += A[i]+A[middle]
part2Sum += A[j]
else:
if A[i]+A[middle] > A[j]:
partition1.append(A[i])
partition1.append(A[middle])
partition2.append(A[j])
part1Sum += A[i]+A[middle]
part2Sum += A[j]
else:
partition1.append(A[j])
partition2.append(A[i])
partition2.append(A[middle])
part2Sum += A[i]+A[middle]
part1Sum += A[j]
diffSum = part1Sum - part2Sum
break
#take the largest and the smallest element to create a pair
pairSum = A[i]+A[j]
if diffSum > 0:
particion = 2
else:
particion = 1
if particion == 1 :
partition1.append(A[i])
partition1.append(A[j])
part1Sum += pairSum
else:
partition2.append(A[i])
partition2.append(A[j])
part2Sum += pairSum
diffSum = part1Sum - part2Sum
#used pair (i, j)
unused.remove(i)
unused.remove(j)
#j last element
j = unused[-1]
buddyIndex = unused[0]
minPairSumDiff = float('-inf')
#find such buddy A[k], i<=k<j such that value of ((A[j]+A[k])-pairSum) is minimized
for k in range(buddyIndex, j, 1):
if k not in unused:
continue
compPairSum = A[j]+A[k]
pairSumDiff = abs(pairSum-compPairSum)
if pairSumDiff < minPairSumDiff:
minPairSumDiff = pairSumDiff
buddyIndex = k
#add pair (j,buddyIndex) to the other partition
if j != buddyIndex:
pairSum = A[j]+A[buddyIndex]
if particion == 2:
partition1.append(A[j])
partition1.append(A[buddyIndex])
part1Sum += pairSum
else:
partition2.append(A[j])
partition2.append(A[buddyIndex])
part2Sum += pairSum
#used pair (j, buddyIndex)
unused.remove(j)
unused.remove(buddyIndex)
#optimize by swapping a larger elements in large partition with an small element in smaller partition
if diffSum != 0:
partition1.sort()
partition2.sort()
diffSum = part1Sum-part2Sum
if diffSum > 0:
largerPartition = partition1
smallerPartition = partition2
else:
largerPartition = partition2
smallerPartition = partition1
prevDiff = abs(diffSum)
largePartitonSwapCandidate = -1
smallPartitonSwapCandidate = -1
#swap largest element from large partition and smallest from the smaller partition so that sum difference is minimized
for i in range(len(smallerPartition)):
for j in range(len(largerPartition)-1, -1, -1):
largerVal = largerPartition[j]
smallerVal = smallerPartition[i]
if largerVal <= smallerVal:
continue
diff = abs(prevDiff - 2* abs(largerVal - smallerVal))
if diff == 0:
largerPartition[j] = smallerVal
smallerPartition[i] = largerVal
return [largerPartition, smallerPartition]
elif diff < prevDiff:
prevDiff = diff
largePartitonSwapCandidate = j
smallPartitonSwapCandidate = i
#if found such a pair then swap it.
if largePartitonSwapCandidate >=0 and smallPartitonSwapCandidate >=0:
largerVal = largerPartition[largePartitonSwapCandidate]
smallerVal = smallerPartition[smallPartitonSwapCandidate]
largerPartition[largePartitonSwapCandidate] = smallerVal
smallerPartition[smallPartitonSwapCandidate] = largerVal
return [largerPartition, smallerPartition]
return [partition1, partition2]