Submission #1326845

#TimeUsernameProblemLanguageResultExecution timeMemory
1326845boclobanchatFlooding Wall (BOI24_wall)C++20
0 / 100
0 ms332 KiB
#include<bits/stdc++.h> using namespace std; const int MAXN=1e6+5; const long long mod=1e9+7; int val[MAXN],cc[MAXN]; pair<int,int> P[MAXN]; pair<long long,long long> A[MAXN],F[2][MAXN],G[2][MAXN]; 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) { seg[pos]={0,0,1,0,0}; if(l==r) return ; int mid=(l+r)/2; build(l,mid,pos*2); build(mid+1,r,pos*2+1); } void down(int pos) { long long v1=seg[pos].lazy1,v2=seg[pos].lazy2; if(v1==1&&v2==0) return ; seg[pos*2].sum=(seg[pos*2].sum*v1+seg[pos*2].f*v2)%mod; seg[pos*2].cnt=seg[pos*2].cnt*v1%mod; seg[pos*2].f=seg[pos*2].f*v1%mod; seg[pos*2].lazy2=(seg[pos*2].lazy2*v1+seg[pos*2].lazy1*v2)%mod; seg[pos*2].lazy1=seg[pos*2].lazy1*v1%mod; seg[pos*2+1].sum=(seg[pos*2+1].sum*v1+seg[pos*2+1].f*v2)%mod; seg[pos*2+1].cnt=seg[pos*2+1].cnt*v1%mod; seg[pos*2+1].f=seg[pos*2+1].f*v1%mod; seg[pos*2+1].lazy2=(seg[pos*2+1].lazy2*v1+seg[pos*2+1].lazy1*v2)%mod; seg[pos*2+1].lazy1=seg[pos*2+1].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]%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; val[++cnt]=A[i].first,val[++cnt]=A[i].second; } sort(val+1,val+cnt+1); for(int i=1;i<=n;i++) { P[i].first=lower_bound(val+1,val+cnt+1,A[i].first)-val; P[i].second=lower_bound(val+1,val+cnt+1,A[i].second)-val; P[i].first+=cc[P[i].first]++,P[i].second+=cc[P[i].second]++; } build(0,cnt,1); updset(0,cnt,0,0,1,1); for(int i=1;i<=n;i++) { int x=P[i].first,y=P[i].second; node f1=get(0,cnt,0,x,1); node f2=get(0,cnt,0,y,1); update(0,cnt,0,x-1,0,1); update(0,cnt,x+1,y-1,1,1); update(0,cnt,y+1,cnt,2,1); F[0][i]={(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt}; F[1][i]={(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt}; updset(0,cnt,x,F[0][i].first,F[0][i].second,1); updset(0,cnt,y,F[1][i].first,F[1][i].second,1); } build(0,cnt,1); updset(0,cnt,0,0,1,1); for(int i=n;i;i--) { int x=P[i].first,y=P[i].second; node f1=get(0,cnt,0,x,1); node f2=get(0,cnt,0,y,1); update(0,cnt,0,x-1,0,1); update(0,cnt,x+1,y-1,1,1); update(0,cnt,y+1,cnt,2,1); G[0][i]={(f1.sum+f1.cnt*A[i].first)%mod,f1.cnt}; G[1][i]={(f2.sum+f2.cnt*A[i].second)%mod,f2.cnt}; updset(0,cnt,x,G[0][i].first,G[0][i].second,1); updset(0,cnt,y,G[1][i].first,G[1][i].second,1); } 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[0][i].first*G[0][i].second%mod+F[0][i].second*G[0][i].first%mod-F[0][i].second*G[0][i].second%mod*A[i].first%mod+mod)%mod; ans=(ans+F[1][i].first*G[1][i].second%mod+F[1][i].second*G[1][i].first%mod-F[1][i].second*G[1][i].second%mod*A[i].second%mod+mod)%mod; ans=(ans-(A[i].first+A[i].second)%mod*pw%mod+mod)%mod; } cout<<ans; }
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