#933203 (PyPy2) No.694 square1001 and Permutation 3

提出ソース
結果

問題	No.694 square1001 and Permutation 3
ユーザー	vwxyz
提出日時	2023-12-01 20:59:00
言語	PyPy2 (7.3.15)
結果	AC
実行時間	821 ms / 3,000 ms
コード長	10,513 bytes
コンパイル時間	302 ms
コンパイル使用メモリ	76,960 KB
実行使用メモリ	194,320 KB
最終ジャッジ日時	2024-09-26 15:52:00
合計ジャッジ時間	6,649 ms
ジャッジサーバーID （参考情報）	judge3 / judge5
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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	AC	77 ms 77,568 KB
testcase_01	AC	78 ms 77,184 KB
testcase_02	AC	78 ms 77,184 KB
testcase_03	AC	85 ms 78,080 KB
testcase_04	AC	83 ms 78,208 KB
testcase_05	AC	84 ms 78,208 KB
testcase_06	AC	84 ms 78,208 KB
testcase_07	AC	341 ms 91,904 KB
testcase_08	AC	456 ms 124,544 KB
testcase_09	AC	821 ms 194,320 KB
testcase_10	AC	356 ms 92,160 KB
testcase_11	AC	794 ms 193,804 KB
testcase_12	AC	805 ms 193,936 KB
testcase_13	AC	89 ms 77,824 KB
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ソースコード

raw source code
import sys
readline=sys.stdin.readline
from collections import defaultdict,Counter

class Graph:
    def __init__(self,V,edges=None,graph=None,directed=False,weighted=False,inf=float("inf")):
        self.V=V
        self.directed=directed
        self.weighted=weighted
        self.inf=inf
        if graph!=None:
            self.graph=graph
            """
            self.edges=[]
            for i in range(self.V):
                if self.weighted:
                    for j,d in self.graph[i]:
                        if self.directed or not self.directed and i<=j:
                            self.edges.append((i,j,d))
                else:
                    for j in self.graph[i]:
                        if self.directed or not self.directed and i<=j:
                            self.edges.append((i,j))
            """
        else:
            self.edges=edges
            self.graph=[[] for i in range(self.V)]
            if weighted:
                for i,j,d in self.edges:
                    self.graph[i].append((j,d))
                    if not self.directed:
                        self.graph[j].append((i,d))
            else:
                for i,j in self.edges:
                    self.graph[i].append(j)
                    if not self.directed:
                        self.graph[j].append(i)

    def Warshall_Floyd(self,route_restoration=False):
        dist=[[self.inf]*self.V for i in range(self.V)]
        for i in range(self.V):
            dist[i][i]=0
        if route_restoration:
            parents=[[j for j in range(self.V)] for i in range(self.V)]
        for i,j,d in self.edges:
            if i==j:
                continue
            if dist[i][j]>d:
                dist[i][j]=d
                if route_restoration:
                    parents[i][j]=i
            if not self.directed and dist[j][i]>d:
                dist[j][i]=d
                if route_restoration:
                    parents[j][i]=j
        for k in range(self.V):
            for i in range(self.V):
                for j in range(self.V):
                    if dist[i][j]>dist[i][k]+dist[k][j]:
                        dist[i][j]=dist[i][k]+dist[k][j]
                        if route_restoration:
                            parents[i][j]=parents[k][j]
        for i in range(self.V):
            if dist[i][i]<0:
                for j in range(self.V):
                    if dist[i][j]!=self.inf:
                        dist[i][j]=-self.inf
        if route_restoration:
            for i in range(self.V):
                if dist[i][i]==0:
                    parents[i][i]=None
            return dist,parents
        else:
            return dist

    def Kruskal(self,maximize=False,spanning_tree=False):
        UF=UnionFind(self.V)
        sorted_edges=sorted(self.edges if self.weighted else [(x,y,1) for x,y in self.edges],key=lambda tpl:tpl[2],reverse=maximize)
        if spanning_tree:
            st=[]
        else:
            cost=0
        for x,y,d in sorted_edges:
            if not UF.Same(x,y):
                UF.Union(x,y)
                if spanning_tree:
                    st.append((x,y,d))
                else:
                    cost+=d
        return st if spanning_tree else cost

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

def Compress(lst):
    decomp=sorted(list(set(lst)))
    comp={x:i for i,x in enumerate(decomp)}
    return comp,decomp

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

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,decomp=Compress(A)
le=len(comp)
for i in range(N):
    A[i]=comp[A[i]]
del comp,decomp
ans=Inversion([a+1 for a in A])
C=[0]*(le+1)
for a in A:
    C[a+1]+=1
for i in range(1,le+1):
    C[i]+=C[i-1]
for a in A:
    print(ans)
    ans-=C[a]
    ans+=(C[le]-C[a+1])
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