Submission #155057

# Submission time Handle Problem Language Result Execution time Memory
155057 2019-09-26T05:20:40 Z aer0park Split the sequence (APIO14_sequence) C++14
100 / 100
1817 ms 85496 KB
#include <bits/stdc++.h>
#define f first
#define s second
 
using namespace std;
 
typedef long long ll;
typedef pair<ll,ll> pi;
 
ll cnt,sz,n,k,p[100006],dp[100002][5];
int sv[100002][202],st[100005],v[100006];
vector<int> anw;
 
double get(ll a,ll b,ll q)
{
	a=st[a],b=st[b];
	if(p[a]==p[b]) return -1e15;
	return (double)(p[b]*p[b]-p[a]*p[a]+dp[a][q%2]-dp[b][q%2])/(double)(p[b]-p[a]);
}
 
void push(ll x,ll d)
{
	st[sz]=x;
	while(sz>=2&&get(sz,sz-1,d)<get(sz-1,sz-2,d))
	{
		sz--,st[sz]=x;
	}
	sz++;
}
 
ll val(ll x,ll d)
{
	while(cnt<sz-1&&p[x]>=get(cnt,cnt+1,d)) cnt++;
	ll nw=st[cnt];
	sv[x][d+1]=nw;
	return p[x]*p[nw]-p[nw]*p[nw]+dp[nw][d%2];
}
 
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n>>k;
	for(int i=1;i<=n;i++)
		cin>>v[i],p[i]=p[i-1]+(ll)v[i];
	for(int i=1;i<=k;i++)
	{
		cnt=0,sz=0;
		push(0,0);
		for(int j=1;j<=n;j++)
		{
			dp[j][i%2]=val(j,i-1);
			push(j,i-1);
		}
	}
	cout<<dp[n][k%2]<<"\n";
	ll g=n;
	for(int i=k;i>=1;i--)
	{
		g=sv[g][i];
		anw.push_back(g);
	}
	reverse(anw.begin(),anw.end());
	for(int i=0;i<k;i++)
		cout<<anw[i]<<" ";
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 380 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 380 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 380 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 708 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 504 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 504 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 504 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 504 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 504 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 504 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1144 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1144 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1272 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1144 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1144 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1144 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1144 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 1272 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1256 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 10 ms 8824 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 10 ms 8824 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 84 ms 8824 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 10 ms 8824 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 64 ms 8892 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 70 ms 8824 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 78 ms 8912 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 57 ms 8824 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 8952 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 83 ms 8952 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 101 ms 85112 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 100 ms 85116 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1526 ms 85496 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 99 ms 85368 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1817 ms 85044 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1195 ms 85112 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1288 ms 85340 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 737 ms 85264 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1022 ms 85240 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1274 ms 85252 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845