Submission #1326733

#TimeUsernameProblemLanguageResultExecution timeMemory
1326733boclobanchatFlooding Wall (BOI24_wall)C++20
0 / 100
1 ms336 KiB
#include<bits/stdc++.h> using namespace std; struct value { int x,idx,p; }; bool comp(value a,value b) { if(a.x==b.x) { if(a.idx==b.idx) return a.p<b.p; return a.idx<b.idx; } return a.x<b.x; } const int MAXN=1e6+5; const long long mod=1e9+7; const long long i2=5e8+4; value val[MAXN]; pair<int,int> A[MAXN],P[MAXN],F[MAXN][2],G[MAXN][2]; struct node { long long sum,cnt,lazy1,lazy2,f; }; node seg[MAXN*4]; node merge(node a,node b) { return {(a.sum+b.sum)%mod,(a.cnt+b.cnt)%mod,1,0,(a.f+b.f)%mod}; } void build(int l,int r,int pos) { if(l==r) { seg[pos]={0,0,0,1,0}; return ; } int mid=(l+r)/2; build(l,mid,pos*2); build(mid+1,r,pos*2+1); seg[pos]=merge(seg[pos*2],seg[pos*2+1]); } void down(int pos) { long long v1=seg[pos].lazy1,v2=seg[pos].lazy2; for(auto v:{pos*2,pos*2+1}) { seg[v].sum=(seg[v].sum*v1+seg[v].f*v2)%mod; seg[v].cnt=seg[v].cnt*v1%mod; seg[v].f=seg[v].f*v1%mod; seg[v].lazy2=(seg[v].lazy2*v1+seg[v].lazy1*v2)%mod; seg[v].lazy1=seg[v].lazy1*v1%mod; } seg[pos].lazy1=1,seg[pos].lazy2=0; } void updset(int l,int r,int i,long long sum,long long cnt,int pos) { if(i<l||r<i) return ; if(l==r) { seg[pos]={sum,cnt,0,0,cnt*val[i].x%mod}; return ; } int mid=(l+r)/2; down(pos); updset(l,mid,i,sum,cnt,pos*2); updset(mid+1,r,i,sum,cnt,pos*2+1); seg[pos]=merge(seg[pos*2],seg[pos*2+1]); } void update(int l,int r,int u,int v,long long val,int pos) { if(v<l||r<u) return ; if(u<=l&&r<=v) { seg[pos].sum=(seg[pos].sum+seg[pos].f)%mod*val%mod; seg[pos].cnt=seg[pos].cnt*val%mod; seg[pos].f=seg[pos].f*val%mod; seg[pos].lazy2=(seg[pos].lazy2+seg[pos].lazy1)%mod*val%mod; seg[pos].lazy1=seg[pos].lazy1*val%mod; return ; } int mid=(l+r)/2; down(pos); update(l,mid,u,v,val,pos*2); update(mid+1,r,u,v,val,pos*2+1); seg[pos]=merge(seg[pos*2],seg[pos*2+1]); } node get(int l,int r,int u,int v,int pos) { if(u<=l&&r<=v) return seg[pos]; int mid=(l+r)/2; down(pos); if(v<=mid) return get(l,mid,u,v,pos*2); if(mid+1<=u) return get(mid+1,r,u,v,pos*2+1); return merge(get(l,mid,u,v,pos*2),get(mid+1,r,u,v,pos*2+1)); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n,cnt=0; cin>>n; for(int i=1;i<=n;i++) cin>>A[i].first; for(int i=1;i<=n;i++) { cin>>A[i].second; if(A[i].first>A[i].second) swap(A[i].first,A[i].second); val[++cnt]={A[i].first,i,0},val[++cnt]={A[i].second,i,1}; } sort(val+1,val+cnt+1,comp); for(int i=1;i<=cnt;i++) if(val[i].p) P[val[i].idx].second=i; else P[val[i].idx].first=i; build(0,cnt,1); updset(0,cnt,0,0,1,1); for(int i=1;i<=n;i++) { node f1=get(0,cnt,0,P[i].first-1,1); node f2=get(0,cnt,0,P[i].second-1,1); update(0,cnt,0,P[i].first-1,0,1); update(0,cnt,P[i].first+1,P[i].second-1,1,1); update(0,cnt,P[i].second+1,cnt,2,1); updset(0,cnt,P[i].first,(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt,1); updset(0,cnt,P[i].second,(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt,1); F[i][0]={(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt}; F[i][1]={(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt}; } build(0,cnt,1); updset(0,cnt,0,0,1,1); for(int i=n;i;i--) { node f1=get(0,cnt,0,P[i].first-1,1); node f2=get(0,cnt,0,P[i].second-1,1); update(0,cnt,0,P[i].first-1,0,1); update(0,cnt,P[i].first+1,P[i].second-1,1,1); update(0,cnt,P[i].second+1,cnt,2,1); updset(0,cnt,P[i].first,(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt,1); updset(0,cnt,P[i].second,(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt,1); G[i][0]={(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt}; G[i][1]={(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt}; } long long ans=0,pw=1; for(int i=1;i<n;i++) pw=pw*2%mod; for(int i=1;i<=n;i++) { ans=(ans+F[i][0].first*G[i][0].second%mod+F[i][0].second*G[i][0].first%mod-A[i].first*F[i][0].second%mod*G[i][0].second%mod+mod)%mod; ans=(ans+F[i][1].first*G[i][1].second%mod+F[i][1].second*G[i][1].first%mod-A[i].second*F[i][1].second%mod*G[i][1].second%mod+mod)%mod; ans=(ans-(A[i].first+A[i].second)%mod*pw%mod+mod)%mod; } cout<<ans; }
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