Submission #43612

# Submission time Handle Problem Language Result Execution time Memory
43612 2018-03-18T07:04:32 Z faustaadp Split the sequence (APIO14_sequence) C++14
100 / 100
652 ms 85016 KB
#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define mp make_pair
#define fi first
#define se second
//#define getchar() getchar_unlocked()
using namespace std;
ll n,k,i,a[101010],p[101010],M,C,opt,j,vs;
ll d[2][100010],te,seb;
int op[201][100010],poi;
int v[202];
pair<pair<ll,ll> ,int>  vt[101010];
pair<pair<ll,ll> ,int> L1,L2,L3;
bool bo;
void bt(ll aa,ll bb)
{
	ll ii,h=0;
	for(ii=0;ii<k;ii++)
	{
		v[h]=op[aa][bb];
		h++;
		bb=op[aa][bb]+1;
		aa--;
	}
}
inline void fs(ll& p) {
	static char c;
   	while ((c = getchar()) < '0');
	for (p = c-'0'; (c = getchar()) >= '0'; p = p*10+c-'0');
}
int main()
{
//	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	//cin>>n>>k;
	fs(n);
	fs(k);
	for(i=1;i<=n;i++)
	{
		fs(a[i]);
//		cin>>a[i];
		p[i]=p[i-1]+a[i];
	}
	pair<pair<ll,ll>,ll> aa;
	ll ava;
	for(i=1;i<=k;i++)
	{
	//	vt.clear();
	//	vt.reserve(n);
		poi=0;
		vs=0;
		te=0;
		seb=0;
		for(j=n-1;j>=1;j--)
		{
			M=p[j];
			C=p[j]*p[n]-p[j]*p[j]+d[(i-1)&1][j+1];
			aa=mp(mp(M,C),j);
			bo=0;
			while(vs>=2)
			{
				L1=vt[vs-1];
				L2=vt[vs-2];
				L3=aa;
				if((L2.fi.se-L1.fi.se)*(L2.fi.fi-L3.fi.fi)<(L3.fi.se-L2.fi.se)*(L1.fi.fi-L2.fi.fi))
					break;
				if(!bo&&L2.se>seb){te--;bo=1;}
				poi--;
				//vt.pop_back();
				vs--;
			}
			vt[poi]=aa;
			poi++;
			//vt.push_back(aa);
			vs++;
			ava=p[j-1];
			while(te<vs-1)
			{
				L1=vt[te];
				L2=vt[te+1];
				if((L2.fi.se-L1.fi.se)>=(L1.fi.fi-L2.fi.fi)*ava)
					te++;
				else
					break;
			}
			//te--;
			seb=vt[te].se;
			opt=te;
			op[i][j]=vt[opt].se;
			d[i&1][j]=(vt[opt].fi.fi*p[j-1]+vt[opt].fi.se-p[j-1]*p[n]);
		}
	}
	cout<<d[k%2][1]<<"\n";
	bt(k,1);
	for(i=0;i<k;i++)
		if(i==k-1)
			cout<<v[i]<<"\n";
		else
			cout<<v[i]<<" ";
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 424 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 624 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 624 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 624 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 624 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 624 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 624 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 624 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 624 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 624 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 624 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 624 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 624 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 624 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 624 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 624 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 624 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 832 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 832 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 832 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 832 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 832 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 832 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 832 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 832 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 832 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 832 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 1772 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1772 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1772 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1772 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1772 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1772 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1772 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1772 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1772 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1772 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2412 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2412 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 2412 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 2412 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2412 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2412 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 2412 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 2412 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2412 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2412 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 43 ms 9836 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 9836 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 42 ms 9836 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 47 ms 9836 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 54 ms 9836 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 31 ms 9836 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 37 ms 9836 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 47 ms 9836 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 15 ms 9836 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 17 ms 9836 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 411 ms 84488 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 16 ms 84488 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 652 ms 85016 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 450 ms 85016 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 448 ms 85016 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 314 ms 85016 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 335 ms 85016 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 427 ms 85016 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845