oj.uz

Submission #933040

# Submission time Handle Problem Language Result Execution time Memory
933040 2024-02-24T22:49:22 Z Edu175 Sequence (APIO23_sequence) C++17
53 / 100
 2000 ms 59888 KB 
#include "sequence.h"
#include <bits/stdc++.h>
#define pb push_back
#define fst first
#define snd second
#define fore(i,a,b) for(ll i=a,apio=b;i<apio;i++)
#define SZ(x) ((int)x.size())
#define ALL(x) x.begin(),x.end()
#define mset(a,v) memset((a),(v),sizeof(a))
#define imp(v) for(auto slkdh:v)cout<<slkdh<<" ";cout<<"\n"
using namespace std;
typedef int ll;
typedef pair<ll,ll> ii;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const ll INF=5e6;
struct node{
	ll mxp,mnp,mxs,mns,sum;
};
node oper(node a, node b){
	a.mxp=max(a.mxp,a.sum+b.mxp);
	a.mnp=min(a.mnp,a.sum+b.mnp);
	a.mxs=max(a.mxs+b.sum,b.mxs);
	a.mns=min(a.mns+b.sum,b.mns);
	a.sum+=b.sum;
	return a;
}
node NEUT({-INF,INF,-INF,INF,0});
struct STcustom{
	vector<node>t; ll n;
	STcustom(ll n):t(2*n+5,node({0,0,0,0,0})),n(n){}
	void upd(ll p, ll v){
		p+=n;
		t[p].mxp+=v,t[p].mnp+=v,t[p].mxs+=v,t[p].mns+=v,t[p].sum+=v;
		for(;p>1;p>>=1)p^=p&1,t[p>>1]=oper(t[p],t[p^1]);
	}
	node query(ll l, ll r){
		node izq=NEUT,der=NEUT;
		for(l+=n,r+=n;l<r;l>>=1,r>>=1){
			if(l&1)izq=oper(izq,t[l++]);
			if(r&1)der=oper(t[--r],der);
		}
		return oper(izq,der);
	}
};
const ll C=5e5,MAXN=2*C+5;
int ft[MAXN+1]; // for more dimensions, make ft multi-dimensional
void upd(int i0, int v){ // add v to i0th element (0-based)
	// add extra fors for more dimensions
	for(int i=i0+1;i<=MAXN;i+=i&-i)ft[i]=min(ft[i],v);
}
int get(int i0){ // get sum of range [0,i0)
	int r=INF;
	// add extra fors for more dimensions
	for(int i=i0;i;i-=i&-i)r=min(r,ft[i]);
	return r;
}
ll l[MAXN],r[MAXN];
bool cmp(ll i, ll j){
	return ii({l[i],i})<ii({l[j],j});
}
const ll B=84;
int sequence(int N, std::vector<int> A) {
	ll n=N;
	vector<ll>a(n);
	fore(i,0,n)a[i]=A[i]-1;
	vector<ll>pos[n];
	fore(i,0,n)pos[a[i]].pb(i);
	STcustom st(n);
	fore(i,0,n)st.upd(i,1);
	ll res=1;
	vector<ll>s(n);
	fore(i,0,n)s[i]=1;
	fore(i,0,n)if(SZ(pos[i])){
		vector<ll>&v=pos[i];
		for(auto j:v)st.upd(j,-1),s[j]--;
		if(SZ(v)<B){
			vector<node> pre(SZ(v)),suf(SZ(v));
			fore(j,0,SZ(v)){
				ll p=v[j];
				pre[j]=st.query(0,p+1);
				suf[j]=st.query(p,n);
			}
			fore(s,0,SZ(v))fore(e,s+1,SZ(v)){
				ll dif=pre[e].sum-pre[s].sum;
				if(dif<=0){
					if(dif+pre[s].mxs+suf[e].mxp+e-s+1>=0)
						res=max(res,e-s+1);
				}
				else {
					if(dif+pre[s].mns+suf[e].mnp-(e-s+1)<=0)
						res=max(res,e-s+1);
				}
			}
		}
		else {
			ll sum=0,rew=0;
			vector<ll>rw(n+1);
			vector<ll>ev{n};
			l[n]=r[n]=rw[n]=0;
			fore(j,0,n){
				sum+=s[j],rew+=a[j]==i;
				rw[j]=rew;
				l[j]=sum-rew,r[j]=sum+rew;
				ev.pb(j);
			}
			sort(ALL(ev),cmp); reverse(ALL(ev));
			fore(i,0,MAXN)ft[i]=INF;
			for(auto i:ev){
				res=max(res,rw[i]-get(r[i]+C+1));
				upd(r[i]+C,rw[i]);
			}
		}
		for(auto j:v)st.upd(j,-1),s[j]--;
	}
	return res;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 7772 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 7772 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 2 ms 600 KB Output is correct
17 Correct 3 ms 8028 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 3 ms 8028 KB Output is correct
20 Correct 3 ms 8028 KB Output is correct
21 Correct 3 ms 8028 KB Output is correct
22 Correct 3 ms 8028 KB Output is correct

Subtask #3
0.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 265 ms 49508 KB Output is correct
3 Correct 260 ms 49500 KB Output is correct
4 Correct 501 ms 59260 KB Output is correct
5 Correct 258 ms 48400 KB Output is correct
6 Correct 258 ms 48392 KB Output is correct
7 Execution timed out 2023 ms 59888 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 289 ms 59136 KB Output is correct
3 Correct 289 ms 59112 KB Output is correct
4 Correct 295 ms 59128 KB Output is correct
5 Correct 290 ms 59132 KB Output is correct
6 Correct 242 ms 59388 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 396 ms 55232 KB Output is correct
2 Correct 412 ms 55120 KB Output is correct
3 Correct 347 ms 54656 KB Output is correct
4 Correct 363 ms 54744 KB Output is correct
5 Correct 304 ms 51324 KB Output is correct
6 Correct 300 ms 51324 KB Output is correct
7 Correct 248 ms 50120 KB Output is correct
8 Correct 249 ms 49740 KB Output is correct

Subtask #6
0.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 7772 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 2 ms 600 KB Output is correct
17 Correct 3 ms 8028 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 3 ms 8028 KB Output is correct
20 Correct 3 ms 8028 KB Output is correct
21 Correct 3 ms 8028 KB Output is correct
22 Correct 3 ms 8028 KB Output is correct
23 Correct 45 ms 8536 KB Output is correct
24 Correct 54 ms 8292 KB Output is correct
25 Correct 46 ms 8284 KB Output is correct
26 Execution timed out 2071 ms 18672 KB Time limit exceeded
27 Halted 0 ms 0 KB -

Subtask #7
0.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 7772 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 2 ms 600 KB Output is correct
17 Correct 3 ms 8028 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 3 ms 8028 KB Output is correct
20 Correct 3 ms 8028 KB Output is correct
21 Correct 3 ms 8028 KB Output is correct
22 Correct 3 ms 8028 KB Output is correct
23 Correct 265 ms 49508 KB Output is correct
24 Correct 260 ms 49500 KB Output is correct
25 Correct 501 ms 59260 KB Output is correct
26 Correct 258 ms 48400 KB Output is correct
27 Correct 258 ms 48392 KB Output is correct
28 Execution timed out 2023 ms 59888 KB Time limit exceeded
29 Halted 0 ms 0 KB -