| # | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 552567 | 2022-04-23T10:13:52 Z | mars4 | Lightning Conductor (POI11_pio) | C++17 | 419 ms | 20968 KB |
#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 ff first
#define ss second
#define ll int64_t
#define ld long double
#define nl cout<<"\n"
#define i128 __int128_t
#define all(v) v.begin(),v.end()
#define mset(a,v) memset((a),(v),sizeof(a))
#define forn(i,a,b) for(int64_t i=int64_t(a);i<int64_t(b);++i)
#define forb(i,a,b) for(int64_t i=int64_t(a);i>=int64_t(b);--i)
#define fastio() ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define mod 1'000'000'007
#define mod2 998'244'353
#define inf 1'000'000'000'000'007
#define pi 3.14159265358979323846
template<class key,class cmp=std::less<key>>
using ordered_set=tree<key,null_type,cmp,rb_tree_tag,tree_order_statistics_node_update>;
template<class L,class R> ostream& operator<<(ostream& out,pair<L,R> &p) {return out<<"("<<p.ff<<", "<<p.ss<<")";}
template<class T> ostream& operator<<(ostream& out,vector<T> &v) {out<<"[";for(auto it=v.begin();it!=v.end();++it){if(it!=v.begin())out<<", ";out<<*it;}return out<<"]";}
template<class T> ostream& operator<<(ostream& out,deque<T> &v) {out<<"[";for(auto it=v.begin();it!=v.end();++it){if(it!=v.begin())out<<", ";out<<*it;}return out<<"]";}
template<class T> ostream& operator<<(ostream& out,set<T> &s) {out<<"{";for(auto it=s.begin();it!=s.end();++it){if(it!=s.begin())out<<", ";out<<*it;}return out<<"}";}
template<class T> ostream& operator<<(ostream& out,ordered_set<T> &s) {out<<"{";for(auto it=s.begin();it!=s.end();++it){if(it!=s.begin())out<<", ";out<<*it;}return out<<"}";}
template<class L,class R> ostream& operator<<(ostream& out,map<L,R> &m) {out<<"{";for(auto it=m.begin();it!=m.end();++it){if(it!=m.begin())out<<", ";out<<*it;}return out<<"}";}
void dbg_out() {cerr<<"]\n";}
template<typename Head,typename... Tail>
void dbg_out(Head H,Tail... T) {cerr<<H;if(sizeof...(Tail))cerr<<", ";dbg_out(T...);}
#ifdef LOCAL
#define dbg(...) cerr<<"["<<#__VA_ARGS__<<"] = [",dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
//---------------------------------mars4---------------------------------
int main()
{
fastio();
ll z,n,m,t,k,i,j,l,d,h,r;
cin>>n;
vector<ll> a(n);
for(ll &i:a)
{
cin>>i;
}
vector<ld> sq(n);
forn(i,0,n)
{
sq[i]=sqrtl(i);
}
vector<ll> ans(n);
// pl=hl-h+sqrt(i-l)
// pr=hr-h+sqrt(i-r)
// we want pl>=pr
// hl-h+sqrt(i-l)>=hr-h+sqrt(i-r)
// sqrt(i-l)-sqrt(i-r)>=hr-hl
// we want greatest i such that the above condition is satisfied
auto intersectX=[&](pair<ll,ll> a,pair<ll,ll> b)
{
ll logN=19;
auto [hl,l]=a;
auto [hr,r]=b;
ll ind=r;
forb(k,logN-1,0)
{
ll nind=ind+(1ll<<k);
if(nind<n and sq[nind-l]-sq[nind-r]>=hr-hl)
{
ind=nind;
}
}
return ind;
};
auto val=[&](ll hi,ll hj,ll i,ll j)
{
return hj-hi+(ll)ceill(sq[i-j]);
};
forn(k,0,2)
{
deque<pair<ll,ll>> dq;
forn(i,0,n)
{
m=(ll)dq.size();
if(dq.empty() or a[i]>dq[m-1].ff)
{
while(m>=2 and intersectX(dq[m-1],{a[i],i})<=intersectX(dq[m-2],dq[m-1]))
{
dq.pop_back();
m--;
}
dq.push_back({a[i],i});
m++;
}
while(m>=2 and intersectX(dq[0],dq[1])<i)
{
dq.pop_front();
m--;
}
ans[i]=max(ans[i],val(a[i],dq[0].ff,i,dq[0].ss));
}
reverse(all(a));
reverse(all(ans));
}
for(ll i:ans)
{
cout<<i<<"\n";
}
cerr<<"\nTime elapsed: "<<1000*clock()/CLOCKS_PER_SEC<<"ms\n";
return 0;
}
Compilation message
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 0 ms | 212 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 1 ms | 212 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 1 ms | 340 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 18 ms | 1520 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 27 ms | 2276 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 42 ms | 2600 KB | Output is correct |
| 2 | Correct | 33 ms | 2616 KB | Output is correct |
| 3 | Correct | 46 ms | 2756 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 77 ms | 3772 KB | Output is correct |
| 2 | Correct | 55 ms | 3772 KB | Output is correct |
| 3 | Correct | 78 ms | 4296 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 118 ms | 8500 KB | Output is correct |
| 2 | Correct | 113 ms | 8368 KB | Output is correct |
| 3 | Correct | 216 ms | 9004 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 184 ms | 14780 KB | Output is correct |
| 2 | Correct | 207 ms | 12620 KB | Output is correct |
| 3 | Correct | 301 ms | 14776 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 309 ms | 20876 KB | Output is correct |
| 2 | Correct | 250 ms | 17996 KB | Output is correct |
| 3 | Correct | 419 ms | 20964 KB | Output is correct |
| # | Verdict | Execution time | Memory | Grader output |
|---|---|---|---|---|
| 1 | Correct | 341 ms | 18508 KB | Output is correct |
| 2 | Correct | 253 ms | 18024 KB | Output is correct |
| 3 | Correct | 395 ms | 20968 KB | Output is correct |