Submission #201867

#TimeUsernameProblemLanguageResultExecution timeMemory
201867zscoderFire (JOI20_ho_t5)C++17
100 / 100
549 ms46328 KiB
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; #define fi first #define se second #define mp make_pair #define pb push_back #define fbo find_by_order #define ook order_of_key typedef long long ll; typedef pair<int,int> ii; typedef vector<int> vi; typedef long double ld; typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds; const int N = 200011; struct Fenwick { vector<ll> t; Fenwick(int n) { t.assign(n+1,0); } void reset(int n) { t.assign(n+1, 0); } void update(int p, ll v) { for (; p < (int)t.size(); p += (p&(-p))) t[p] += v; } ll query(int r) //finds [1, r] sum { ll sum = 0; for (; r; r -= (r&(-r))) sum += t[r]; return sum; } ll query(int l, int r) //finds [l, r] sum { if(l == 0) return query(r); return query(r) - query(l-1); } }; vector<ii> queries[N+11]; ll ans[N+11]; ll a[N+11]; int par[N+11]; const int C = N+4; Fenwick F(2*N+11),F2(2*N+11),Fsum(2*N+11),F2sum(2*N+11); Fenwick F3(2*N+11),F3sum(2*N+11); ll shift=-C; int subsiz[N+11]; vi adj[N+11]; ll summax; void addval(int x, ll val) { F2.update(x-shift,val); F2sum.update(x-shift,val*(x-shift)); } int calcsiz(int u) { subsiz[u]=1; for(int v:adj[u]) { subsiz[u]+=subsiz[v]; } return subsiz[u]; } void quit(int id) { ll subsz = calcsiz(id); if(par[id]!=-1) { subsz+=(id-par[id]-1); ll val = a[par[id]]-a[id]; F2.update(subsz-shift,-val); F2sum.update(subsz-shift,-val*1LL*(subsz-shift)); F.update(subsz+C,val); Fsum.update(subsz+C,val*subsz); } //if(par[id]!=-1) subsz--; } ll query(int t) { ll sum1 = Fsum.query(1,t+C)+ll(t)*F.query(t+C+1,2*N+10); ll sum2 = F2sum.query(1,t-shift)+ll(shift)*F2.query(1,t-shift)+ll(t)*F2.query(t-shift+1,2*N+10); sum2+=F3sum.query(t+1+C,2*N+10)-F3.query(t+1+C,2*N+10)*ll(t); return sum1+sum2+summax; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n,q; cin>>n>>q; for(int i=0;i<n;i++) cin>>a[i]; for(int i=0;i<q;i++) { int t,l,r; cin>>t>>l>>r; l--; r--; queries[r].pb({i,t}); if(l>0) queries[l-1].pb({i,-t}); } memset(par,-1,sizeof(par)); for(int i=0;i<n;i++) { //add the value summax+=a[i]; if(i==0) { //addval(0,a[0]); //summax+=a[0]; } else { int cur=i-1; while(cur>=0&&a[i]>=a[cur]) { quit(cur); cur=par[cur]; } shift++; par[i]=cur; //int val = 0; //if root then initial value = 1 if(par[i]!=-1) { summax-=(a[par[i]]-a[i])*1LL*(i-par[i]-1); F3.update(i-par[i]-1+C,a[par[i]]-a[i]); F3sum.update(i-par[i]-1+C,(i-par[i]-1)*1LL*(a[par[i]]-a[i])); //cerr<<"ADD VAL (NODE = "<<i<<") : "<<1+i-par[i]-1<<'\n'; addval(1+i-par[i]-1,a[par[i]]-a[i]); adj[par[i]].pb(i); } //else summax+=a[i]; } //solve the queries for(ii x:queries[i]) { ll tmp = query(abs(x.se)); ll sum=0; for(int j=0;j<=i;j++) { ll mx=0; for(int k=j;k>=max(0,j-(abs(x.se)));k--) { mx=max(mx,a[k]); } sum+=mx; } //cerr<<"QUERY TILL "<<i<<" WITH T = "<<abs(x.se)<<": "<<tmp<<' '<<sum<<'\n'; if(x.se<0) { ans[x.fi]-=tmp; } else { ans[x.fi]+=tmp; } } } for(int i=0;i<q;i++) { cout<<ans[i]<<'\n'; } }
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