結果
問題 | No.1300 Sum of Inversions |
ユーザー | penguinman |
提出日時 | 2021-02-05 02:57:36 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 557 ms / 2,000 ms |
コード長 | 20,375 bytes |
コンパイル時間 | 2,743 ms |
コンパイル使用メモリ | 239,660 KB |
実行使用メモリ | 31,488 KB |
最終ジャッジ日時 | 2024-07-01 10:07:40 |
合計ジャッジ時間 | 15,830 ms |
ジャッジサーバーID (参考情報) |
judge4 / 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 | 2 ms
6,812 KB |
testcase_01 | AC | 2 ms
6,944 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 420 ms
24,960 KB |
testcase_04 | AC | 401 ms
24,320 KB |
testcase_05 | AC | 300 ms
20,864 KB |
testcase_06 | AC | 472 ms
27,520 KB |
testcase_07 | AC | 436 ms
26,496 KB |
testcase_08 | AC | 480 ms
28,800 KB |
testcase_09 | AC | 486 ms
28,800 KB |
testcase_10 | AC | 214 ms
17,792 KB |
testcase_11 | AC | 208 ms
18,048 KB |
testcase_12 | AC | 374 ms
24,576 KB |
testcase_13 | AC | 365 ms
23,808 KB |
testcase_14 | AC | 557 ms
30,976 KB |
testcase_15 | AC | 488 ms
28,544 KB |
testcase_16 | AC | 395 ms
25,472 KB |
testcase_17 | AC | 201 ms
17,280 KB |
testcase_18 | AC | 244 ms
19,328 KB |
testcase_19 | AC | 290 ms
22,144 KB |
testcase_20 | AC | 325 ms
22,528 KB |
testcase_21 | AC | 321 ms
22,400 KB |
testcase_22 | AC | 270 ms
20,736 KB |
testcase_23 | AC | 465 ms
27,392 KB |
testcase_24 | AC | 312 ms
21,248 KB |
testcase_25 | AC | 252 ms
18,816 KB |
testcase_26 | AC | 238 ms
18,560 KB |
testcase_27 | AC | 276 ms
20,224 KB |
testcase_28 | AC | 508 ms
29,440 KB |
testcase_29 | AC | 327 ms
22,400 KB |
testcase_30 | AC | 479 ms
28,800 KB |
testcase_31 | AC | 298 ms
20,864 KB |
testcase_32 | AC | 310 ms
21,504 KB |
testcase_33 | AC | 79 ms
18,816 KB |
testcase_34 | AC | 89 ms
18,816 KB |
testcase_35 | AC | 243 ms
31,488 KB |
testcase_36 | AC | 250 ms
31,360 KB |
ソースコード
#include<bits/stdc++.h> //using namespace std; #pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #define rep(i,j,n) for(int i=(int)(j);i<(int)(n);i++) #define REP(i,j,n) for(int i=(int)(j);i<=(int)(n);i++) #define per(i,j,n) for(int i=(int)(j);(int)(n)<=i;i--) #define ALL(a) (a).begin(),(a).end() #define pb emplace_back #define mp std::make_pair //#define endl "\n" // using std::endl; using std::cin; using std::cout; using ll=long long; using std::vector; using std::string; using std::upper_bound; using std::lower_bound; using vi=vector<ll>; using vii=vector<vi>; using pii=std::pair<ll,ll>; //constexpr ll MOD=1e9+7; constexpr ll root=0; // constexpr ll MOD=998244353; constexpr ll root=3; //constexpr ll MOD=924844033; constexpr ll root=5; //constexpr ll MOD=10000000; constexpr ll root=0; //constexpr ll MOD=1e4; constexpr ll root=0; //constexpr ll MOD=1e5; constexpr ll root=0; constexpr ll MAX=3e6; constexpr ll inf=(1ll<<60); template<class T> class prique :public std::priority_queue<T, std::vector<T>, std::greater<T>> {}; long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } template<typename T> struct Segment_tree{ ll N; T mem; vector<T> node; Segment_tree(vector<T> &X,T m):mem(m){ ll sz=X.size(); N=1; while(N<sz) N*=2; node.resize(2*N-1,mem); rep(i,0,sz) node[N-1+i]=X[i]; per(i,N-2,0){ node[i]=Compare(node[i*2+1],node[i*2+2]); } } T Compare(T &A,T &B){ return std::min(A,B); } void update(ll X,T val){ X+=N-1; node[X]=val; while(X>0){ X=(X-1)/2; node[X]=Compare(node[X*2+1],node[X*2+2]); } } T Query(ll a,ll b,ll now=0,ll l=0,ll r=-1){ //[a,b),[l,r) if(r<0) r=N; if(r<=a||b<=l) return mem; if(a<=l&&r<=b) return node[now]; auto vl=Query(a,b,now*2+1,l,(l+r)/2),vr=Query(a,b,now*2+2,(l+r)/2,r); return Compare(vl,vr); } ll lower_bound(ll left,ll right,T val,ll now=0,ll l=0,ll r=-1){ if(r<0) r=N; if(node[now]<val||l>=right||left>=r) return r; else if(now>=N-1) return l; ll vl=lower_bound(left,right,val,now*2+1,l,(l+r)/2); if(vl==(l+r)/2) return lower_bound(left,right,val,now*2+2,(l+r)/2,r); return vl; } }; template<typename T> struct lazy_Segment_tree{ int N; vector<T> node,lazy; T INF; vector<bool> flag; lazy_Segment_tree(vector<T> X,T Y):INF(Y){ N=1; while(X.size()>N) N*=2; node.resize(2*N-1,Y); lazy.resize(2*N-1); flag.resize(2*N-1); rep(i,0,X.size()) node[i+N-1]=X[i]; per(i,N-2,0) node[i]=compare(node[i*2+1],node[i*2+2]); } T compare(T X,T Y){ return std::max(X,Y); } T plus(T X,int l,int r){ return X; } void eval(int now,int l,int r){ if(flag[now]){ if(r-l>1){ flag[now*2+1]=flag[now*2+2]=1; lazy[now*2+1]=lazy[now*2+2]=lazy[now]; } node[now]=lazy[now]; flag[now]=0; } } void update(int a,int b,T add,int now=0,int l=0,int r=-1){ if(r<0) r=N; eval(now,l,r); if(b<=l||r<=a) return; if(a<=l&&r<=b){ lazy[now]=add; flag[now]=1; eval(now,l,r); } else{ update(a,b,add,now*2+1,l,(r+l)/2); update(a,b,add,now*2+2,(r+l)/2,r); node[now]=compare(node[now*2+1],node[now*2+2]); } } T Query(int a,int b,int now=0,int l=0,int r=-1){ if(r<0) r=N; eval(now,l,r); if(b<=l||r<=a) return INF; if(a<=l&&r<=b) return node[now]; return compare(Query(a,b,now*2+1,l,(r+l)/2),Query(a,b,now*2+2,(r+l)/2,r)); } ll lower_bound(ll left,ll right,T val,ll now=0,ll l=0,ll r=-1){ eval(now,l,r); if(r<0) r=N; if(node[now]<val||l>=right||left>=r) return r; else if(now>=N-1) return l; ll vl=lower_bound(left,right,val,now*2+1,l,(l+r)/2); if(vl==(l+r)/2) return lower_bound(left,right,val,now*2+2,(l+r)/2,r); return vl; } }; struct Binary_indexed_tree{ int N; vi bit; Binary_indexed_tree(int n):N(n){ bit.resize(N+1,0); } void add(int x,ll a){ x++; for(x;x<=N;x+=(x&-x)) bit[x]+=a; } ll sum(int x){ x++; ll ret=0; for(x;x>0;x-=(x&-x)) ret+=bit[x]; return ret; } ll lower_bound(ll X){ if(sum(N)<X) return -1; ll ret=0,memo=1,sum=0; while(memo*2<=N) memo*=2; while(memo>0){ if(memo+ret<=N&&sum+bit[memo+ret]<X){ sum+=bit[memo+ret]; ret+=memo; } memo/=2; } return ret; } }; struct Union_Find{ ll N; vi par; vi siz; Union_Find(int n):N(n){ par.resize(N); siz.resize(N,1); rep(i,0,N) par[i]=i; } ll root(ll X){ if(par[X]==X) return X; return par[X]=root(par[X]); } bool same(ll X,ll Y){ return root(X)==root(Y); } void unite(ll X,ll Y){ X=root(X); Y=root(Y); if(X==Y) return; if(siz[Y]<siz[X]) std::swap(X,Y); par[X]=Y; siz[Y]+=siz[X]; siz[X]=0; } ll size(ll X){ return siz[root(X)]; } }; struct Strongly_Connected_Components{ ll N,M; vii edge,ver; vi ind; Strongly_Connected_Components(vii e){ ll n=e.size(); ll m=0; vii revedge(n); ind.resize(n); rep(i,0,n){ m+=e[i].size(); for(auto p:e[i]) revedge[p].pb(i); } vi num(n,-1),po(n); vector<bool> seen(n); ll cnt=0; rep(i,0,n){ if(num[i]==-1){ dfs(i,e,num,cnt); } } rep(i,0,n) po[num[i]]=i; per(i,n-1,0){ ll X=po[i]; if(!seen[X]){ std::queue<ll> que; vi v; que.push(X); seen[X]=1; while(!que.empty()){ ll now=que.front(); que.pop(); v.pb(now); ind[now]=ver.size(); for(auto p:revedge[now]){ if(!seen[p]){ seen[p]=1; que.push(p); } } } ver.pb(v); } } N=ver.size(); M=0; edge.resize(N); rep(i,0,n){ for(auto p:e[i]){ if(ind[i]==ind[p]) continue; M++; edge[ind[i]].pb(ind[p]); } } } void dfs(ll now,vii &e,vi &num,ll &cnt){ num[now]=0; for(auto next:e[now]){ if(num[next]==-1){ dfs(next,e,num,cnt); } } num[now]=cnt++; } }; struct Directed_Gragh{ ll N,M; vii edge; Directed_Gragh(vii e):edge(e){ N=edge.size(); rep(i,0,N) M+=edge[i].size(); } vi sort(){ vi ret; vi cnt(N); rep(i,0,N){ for(auto p:edge[i]) cnt[p]++; } std::queue<ll> que; rep(i,0,N){ if(cnt[i]==0) que.push(i); } while(!que.empty()){ ll now=que.front(); que.pop(); ret.pb(now); for(auto next:edge[now]){ cnt[next]--; if(cnt[next]==0) que.push(next); } } return ret; } }; struct Tree{ int N; vii dp; vi par; vi dist; vi subtree; vii edge; Tree(vii E):edge(E){ N=edge.size(); dp.resize(N); par.resize(N); dist.resize(N,-1); for(int i=0;i<N;i++) dp[i].resize(20); dist[0]=dp[0][0]=0; std::queue<int> que; que.push(0); while(!que.empty()){ int now=que.front(); que.pop(); for(int i=0;i<edge[now].size();i++){ int next=edge[now][i]; if(dist[next]==-1){ dist[next]=dist[now]+1; que.push(next); par[next]=now; dp[next][0]=now; } } } for(int i=1;i<20;i++){ for(int j=0;j<N;j++) dp[j][i]=dp[dp[j][i-1]][i-1]; } } int LCA(int X,int Y){ if(dist[X]<dist[Y]) std::swap(X,Y); { int Z=dist[X]-dist[Y]; int i=0; while(Z){ if(Z&1) X=dp[X][i]; i++; Z>>=1; } } if(X==Y) return X; for(int i=19;i>=0;i--){ if(dp[X][i]!=dp[Y][i]){ X=dp[X][i]; Y=dp[Y][i]; } } return dp[X][0]; } void Subtree(){ subtree.resize(N,-1); dfs(0); } void dfs(ll now){ subtree[now]=1; for(auto next:edge[now]){ if(subtree[next]==-1){ dfs(next); subtree[now]+=subtree[next]; } } } }; template<typename T> struct max_flow{ struct Edge{ int to; T cap; int rev; }; int N; vector<vector<Edge>> edge; vector<int> dist,itr; max_flow(vii e,vii w){ N=e.size(); edge.resize(N); rep(i,0,N){ rep(j,0,e[i].size()){ edge[i].pb((Edge){(int)e[i][j],(T)w[i][j],(int)edge[e[i][j]].size()}); edge[e[i][j]].pb((Edge){i,0,(int)edge[i].size()-1}); } } } void add_edge(int from,int to,T cap){ edge[from].pb((Edge){to,cap,(int)edge[to].size()}); edge[to].pb((Edge){from,0,(int)edge[from].size()-1}); } void bfs(int s){ dist.assign(N,-1); std::queue<int> que; dist[s]=0; que.push(s); while(!que.empty()){ int now=que.front(); que.pop(); for(auto p:edge[now]){ int next=p.to; if(p.cap>0&&dist[next]<0){ dist[next]=dist[now]+1; que.push(next); } } } } T dfs(int now,int t,T f){ if(now==t) return f; for(;itr[now]<edge[now].size();itr[now]++){ Edge& p=edge[now][itr[now]]; if(p.cap>0&&dist[now]<dist[p.to]){ T mem=dfs(p.to,t,std::min(f,p.cap)); if(mem>0){ p.cap-=mem; edge[p.to][p.rev].cap+=mem; return mem; } } } return 0; } T Query(int s,int t){ T ret=0; while(1){ bfs(s); if(dist[t]<0) break; itr.assign(N,0); while(1){ int mem=dfs(s,t,(1<<30)); if(mem<=0) break; ret+=mem; } } return ret; } }; struct min_cost_flow{ struct Edge{ int to,cap,rev; ll cost; }; int N; vector<vector<Edge>> edge; vector<ll> dist,h; void add_edge(int from,int to,int cap,ll cost){ edge[from].pb((Edge){to,cap,(int)edge[to].size(),cost}); edge[to].pb((Edge){from,0,(int)edge[from].size()-1,-cost}); } min_cost_flow(vii e,vii m,vii w){ N=e.size(); edge.resize(N); rep(i,0,N){ rep(j,0,e[i].size()){ add_edge(i,e[i][j],m[i][j],w[i][j]); } } } void potential(){ h.assign(N,0); vector<vector<int>> edge2(N); vii weight(N); vector<int> cnt(N); rep(i,0,N){ for(auto e:edge[i]){ if(e.cap>0&&e.cost<0){ edge2[i].pb(e.to); weight[i].pb(-e.cost); cnt[e.to]++; } } } std::queue<ll> que; rep(i,0,N){ if(cnt[i]==0) que.push(i); } vector<int> ver; while(!que.empty()){ int now=que.front(); que.pop(); ver.pb(now); for(auto next:edge2[now]){ cnt[next]--; if(cnt[next]==0) que.push(next); } } per(i,N-1,0){ rep(j,0,edge2[ver[i]].size()){ int next=edge2[ver[i]][j]; h[ver[i]]=std::max(h[ver[i]],h[next]+weight[ver[i]][j]); } } } ll Query(int s,int t,int f){ ll ret=0; potential(); while(f){ vi dist(N,inf); vector<int> memv(N),meme(N); dist[s]=0; prique<std::pair<ll,int>> que; que.push(mp(0,s)); while(!que.empty()){ auto now=que.top().second; if(dist[now]<que.top().first){ que.pop(); continue; } que.pop(); rep(i,0,edge[now].size()){ auto e=edge[now][i]; auto next=e.to; if(e.cap>0&&dist[next]>dist[now]+h[now]-h[next]+e.cost){ dist[next]=dist[now]+h[now]-h[next]+e.cost; memv[next]=now; meme[next]=i; que.push(mp(dist[next],next)); } } } if(dist[t]==inf) return -1; int now=t,max=f; while(now!=s){ auto& e=edge[memv[now]][meme[now]]; max=std::min(max,e.cap); now=memv[now]; } f-=max; now=t; while(now!=s){ auto& e=edge[memv[now]][meme[now]]; e.cap-=max; auto& e2=edge[e.to][e.rev]; e2.cap+=max; now=memv[now]; } rep(i,0,N) h[i]+=dist[i]; ret+=h[t]*max; } return ret; } }; struct Fast_Fourier_Transform{ void dft(vector<std::complex<double>> &func,int inverse){ int siz=func.size(); if(siz==1) return; vector<std::complex<double>> left,right; rep(i,0,siz/2){ left.pb(func[i*2]); right.pb(func[i*2+1]); } dft(left,inverse); dft(right,inverse); std::complex<double> now=1,zeta=std::polar(1.0,inverse*2.0*acos(-1)/siz); rep(i,0,siz){ func[i]=left[i%(siz/2)]+now*right[i%(siz/2)]; now*=zeta; } } template<typename T> vector<double> multiply(vector<T> f,vector<T> g){ vector<std::complex<double>> nf,ng; int siz=1; while(siz<f.size()+g.size()) siz<<=1; nf.resize(siz); ng.resize(siz); rep(i,0,f.size()) nf[i]=f[i]; rep(i,0,g.size()) ng[i]=g[i]; dft(nf,1); dft(ng,1); rep(i,0,siz) nf[i]*=ng[i]; dft(nf,-1); vector<double> ret(siz); rep(i,0,siz) ret[i]=nf[i].real()/siz; return ret; } }; struct Numver_Theoretic_Transform{ void dft(vi &func,bool inverse){ int siz=func.size(); if(siz==1) return; vi left,right; rep(i,0,siz/2){ left.pb(func[i*2]); right.pb(func[i*2+1]); } dft(left,inverse); dft(right,inverse); ll now=1; ll zeta; if(inverse) zeta=modpow(root,MOD-1-(MOD-1)/siz,MOD); else zeta=modpow(root,(MOD-1)/siz,MOD); rep(i,0,siz){ func[i]=(left[i%(siz/2)]+now*right[i%(siz/2)])%MOD; now*=zeta; now%=MOD; } } vi multiply(vi f,vi g){ vi nf,ng; int siz=1; while(siz<f.size()+g.size()) siz<<=1; nf.resize(siz); ng.resize(siz); rep(i,0,f.size()) nf[i]=f[i]; rep(i,0,g.size()) ng[i]=g[i]; dft(nf,0); dft(ng,0); rep(i,0,siz){ nf[i]*=ng[i]; nf[i]%=MOD; } dft(nf,1); vi ret(siz); ll div=modpow(siz,MOD-2,MOD); rep(i,0,siz) ret[i]=nf[i]*div%MOD; return ret; } }; struct Trie{ int let; char lower; vector<int> cnt; vector<vector<int>> next; Trie(int element,char low):let(element),lower(low){ cnt.resize(1); next.pb(vector<int>(let,-1)); } void insert(string S){ int now=0; for(auto s:S){ int X=s-lower; if(next[now][X]==-1){ next[now][X]=cnt.size(); cnt.pb(0); next.pb(vector<int>(lower,-1)); } now=next[now][X]; } cnt[now]++; } int get(string S){ int now=0; for(auto s:S){ int X=s-lower; if(next[now][X]==-1) return 0; now=next[now][X]; } return cnt[now]; } }; template<typename T> struct tancomp{ int place(std::pair<T,T> p){ if(p.first<=0&&p.second<0) return 0; if(p.first>0&&p.second<=0) return 1; if(p.first==0&&p.second==0) return 2; if(p.first>=0&&p.second>0) return 3; return 4; } bool operator()(const std::pair<T,T> &l,const std::pair<T,T> &r){ if(place(l)!=place(r)) return place(l)<place(r); //l.second/l.first<r.second/r.first return l.second*r.first<l.first*r.second; } }; template<typename T> vector<std::pair<T,T>> Declination_sort(ll N,vector<T> X,vector<T> Y){ vector<std::pair<T,T>> ret(N); rep(i,0,N){ ret[i]=(mp(X[i],Y[i])); } sort(ALL(ret),tancomp<T>()); return ret; } vi get_bases(vi A,ll max_digit){ int now=0; int N=A.size(); per(i,max_digit,0){ rep(j,now,N){ if(A[j]&(1ll<<i)){ std::swap(A[j],A[now]); break; } } if(now<N&&A[now]&(1ll<<i)){ rep(j,0,N){ if(j!=now&&A[j]&(1ll<<i)) A[j]^=A[now]; } now++; } } vi bases; rep(i,0,now) bases.pb(A[i]); return bases; } vi fac,finv,inv; void COMinit() { fac.resize(MAX); finv.resize(MAX); inv.resize(MAX); fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(ll n,ll r){ if(n<r||n<0||r<0) return 0; return fac[n]*finv[r]%MOD*finv[n-r]%MOD; } void comp(vi &A){ std::map<ll,ll> memo; rep(i,0,A.size()) memo[A[i]]=0; ll cnt=0; for(auto &p:memo) p.second=cnt++; rep(i,0,A.size()) A[i]=memo[A[i]]; } void dec(std::map<ll,ll> &mem,ll X){ mem[X]--; if(mem[X]==0) mem.erase(X); } void print(bool flag){ vector<char> P={ "No", "Yes" }; cout<<P[flag]<<endl; } int main(){ std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout.tie(nullptr); std::random_device rnd; std::mt19937 mt(rnd()); ll N; cin>>N; vi A(N); rep(i,0,N) cin>>A[i]; Binary_indexed_tree bit1(N),bit2(N),bit3(N),bit4(N); vi B=A; comp(B); vi sum1(N),sum2(N),sum3(N),sum4(N); rep(i,0,N){ sum1[i]=bit1.sum(N-1)-bit1.sum(B[i]); sum2[i]=bit2.sum(N-1)-bit2.sum(B[i]); bit1.add(B[i],1); bit2.add(B[i],A[i]); } rep(i,0,N) B[i]=-B[i]; comp(B); per(i,N-1,0){ sum3[i]=bit3.sum(N-1)-bit3.sum(B[i]); sum4[i]=bit4.sum(N-1)-bit4.sum(B[i]); bit3.add(B[i],1); bit4.add(B[i],A[i]); } ll ans=0; rep(i,0,N){ sum1[i]%=MOD; sum2[i]%=MOD; sum3[i]%=MOD; sum4[i]%=MOD; ans+=sum1[i]*sum3[i]%MOD*A[i]%MOD; ans+=sum1[i]*sum4[i]%MOD; ans+=sum2[i]*sum3[i]%MOD; ans%=MOD; } cout<<ans<<endl; }