結果
| 問題 | No.694 square1001 and Permutation 3 |
| ユーザー |
 vwxyz
|
| 提出日時 | 2023-12-01 21:20:55 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 7,165 bytes |
| コンパイル時間 | 340 ms |
| コンパイル使用メモリ | 82,512 KB |
| 実行使用メモリ | 262,944 KB |
| 最終ジャッジ日時 | 2024-09-26 15:53:43 |
| 合計ジャッジ時間 | 4,724 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | WA | - |
| testcase_01 | WA | - |
| testcase_02 | WA | - |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | MLE | - |
| testcase_10 | WA | - |
| testcase_11 | MLE | - |
| testcase_12 | MLE | - |
| testcase_13 | WA | - |
ソースコード
import sys
readline=sys.stdin.readline
"""
def Inversion_Number(lst,weight=False,weakly=False):
compress,decompress=Compress(lst)
compressed_lst=[compress[x] for x in lst]
N=len(compress)
if not weight:
weight=[1]*len(lst)
ST=Segment_Tree(N,lambda x,y:x+y,0)
inversion_number=0
for c,x in zip(weight,compressed_lst):
inversion_number+=ST.Fold(x if weakly else x+1,N)*c
ST[x]+=c
return inversion_number
class Segment_Tree:
def __init__(self,N,f,e,lst=None,dynamic=False):
self.f=f
self.e=e
self.N=N
if dynamic:
self.segment_tree=defaultdict(lambda:self.e)
else:
if lst==None:
self.segment_tree=[self.e]*2*self.N
else:
assert len(lst)<=self.N
self.segment_tree=[self.e]*self.N+[x for x in lst]+[self.e]*(N-len(lst))
for i in range(self.N-1,0,-1):
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def __getitem__(self,i):
if type(i)==int:
if -self.N<=i<0:
return self.segment_tree[i+self.N*2]
elif 0<=i<self.N:
return self.segment_tree[i+self.N]
else:
raise IndexError("list index out of range")
else:
a,b,c=i.start,i.stop,i.step
if a==None:
a=self.N
else:
a+=self.N
if b==None:
b=self.N*2
else:
b+=self.N
return self.segment_tree[slice(a,b,c)]
def __setitem__(self,i,x):
if -self.N<=i<0:
i+=self.N*2
elif 0<=i<self.N:
i+=self.N
else:
raise IndexError("list index out of range")
self.segment_tree[i]=x
while i>1:
i>>= 1
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def Build(self,lst):
for i,x in enumerate(lst,self.N):
self.segment_tree[i]=x
for i in range(self.N-1,0,-1):
self.segment_tree[i]=self.f(self.segment_tree[i<<1],self.segment_tree[i<<1|1])
def Fold(self,L=None,R=None):
if L==None:
L=self.N
else:
L+=self.N
if R==None:
R=self.N*2
else:
R+=self.N
vL=self.e
vR=self.e
while L<R:
if L&1:
vL=self.f(vL,self.segment_tree[L])
L+=1
if R&1:
R-=1
vR=self.f(self.segment_tree[R],vR)
L>>=1
R>>=1
return self.f(vL,vR)
def Fold_Index(self,L=None,R=None):
if L==None:
L=self.N
else:
L+=self.N
if R==None:
R=self.N*2
else:
R+=self.N
if L==R:
return None
x=self.Fold(L-self.N,R-self.N)
while L<R:
if L&1:
if self.segment_tree[L]==x:
i=L
break
L+=1
if R&1:
R-=1
if self.segment_tree[R]==x:
i=R
break
L>>=1
R>>=1
while i<self.N:
if self.segment_tree[i]==self.segment_tree[i<<1]:
i<<=1
else:
i<<=1
i|=1
i-=self.N
return i
def Bisect_Right(self,L=None,f=None):
if L==self.N:
return self.N
if L==None:
L=0
L+=self.N
vl=self.e
vr=self.e
l,r=L,self.N*2
while l<r:
if l&1:
vl=self.f(vl,self.segment_tree[l])
l+=1
if r&1:
r-=1
vr=self.f(self.segment_tree[r],vr)
l>>=1
r>>=1
if f(self.f(vl,vr)):
return self.N
v=self.e
while True:
while L%2==0:
L>>=1
vv=self.f(v,self.segment_tree[L])
if f(vv):
v=vv
L+=1
else:
while L<self.N:
L<<=1
vv=self.f(v,self.segment_tree[L])
if f(vv):
v=vv
L+=1
return L-self.N
def Bisect_Left(self,R=None,f=None):
if R==0:
return 0
if R==None:
R=self.N
R+=self.N
vl=self.e
vr=self.e
l,r=self.N,R
while l<r:
if l&1:
vl=self.f(vl,self.segment_tree[l])
l+=1
if r&1:
r-=1
vr=self.f(self.segment_tree[r],vr)
l>>=1
r>>=1
if f(self.f(vl,vr)):
return 0
v=self.e
while True:
R-=1
while R>1 and R%2:
R>>=1
vv=self.f(self.segment_tree[R],v)
if f(vv):
v=vv
else:
while R<self.N:
R=2*R+1
vv=self.f(self.segment_tree[R],v)
if f(vv):
v=vv
R-=1
return R+1-self.N
def __str__(self):
return "["+", ".join(map(str,self.segment_tree[self.N:]))+"]"
def Swap_Count(N,A,B):
if sorted(A)==sorted(B):
idxA={tpl:i for i,tpl in enumerate(sorted([(A[i],i) for i in range(N)]))}
idxB={tpl:i for i,tpl in enumerate(sorted([(B[i],i) for i in range(N)]))}
for i in range(N):
A[i]=idxA[(A[i],i)]
B[i]=idxB[(B[i],i)]
idx={A[i]:i for i in range(N)}
for i in range(N):
B[i]=idx[B[i]]
retu=Inversion_Number(B)
else:
retu=-1
return retu
def Compress(lst):
decomp=sorted(list(set(lst)))
comp={x:i for i,x in enumerate(decomp)}
return comp,decomp
"""
class BinaryIndexedTree():
def __init__(self, seq):
self.size = len(seq)
self.depth = self.size.bit_length()
self.build(seq)
def build(self, seq):
data = seq
size = self.size
for i, x in enumerate(data):
j = i + (i & (-i))
if j < size:
data[j] += data[i]
self.data = data
def get_sum(self, i):
data = self.data
s = 0
while i:
s += data[i]
i -= i & -i
return s
def add(self, i, x):
data = self.data
size = self.size
while i < size:
data[i] += x
i += i & -i
def Inversion(seq):
N = len(seq)
bit = BinaryIndexedTree([0] * (N + 1))
inv = N * (N - 1) // 2
for x in seq:
inv -= bit.get_sum(x)
bit.add(x, 1)
del bit
return inv
N=int(readline())
A=[int(readline()) for i in range(N)]
comp={a:i for i,a in enumerate(sorted(set(A)),1)}
le=len(comp)
for i in range(N):
A[i]=comp[A[i]]
del comp
ans=Inversion(A)