Submission #7864

# Submission time Handle Problem Language Result Execution time Memory
7864 2014-08-20T14:31:05 Z gs13068 Split the sequence (APIO14_sequence) C++
100 / 100
696 ms 84292 KB
#include<cstdio>
#include<algorithm>

std::pair<std::pair<long long,long long>,int> s[100000];
int sn;

long long a[100001];
long long d[2][100001];
int vi[201][100001];

void insert(long long a,long long b,int c)
{
	double t;
    while(sn>=2)
	{
		t = -1.*(s[sn-1].first.second-s[sn-2].first.second)/(s[sn-1].first.first-s[sn-2].first.first);
        if(t*a+b>t*s[sn-1].first.first+s[sn-1].first.second)break;
        sn--;
	}
	s[sn++]=std::make_pair(std::make_pair(a,b),c);
}

void print(int i,int j)
{
    if(i)
	{
		print(i-1,vi[i][j]);
		printf("%d ",vi[i][j]);
	}
}

int main()
{
	int i,j,k,n,m;
	scanf("%d%d",&n,&m);
	for(i=1;i<=n;i++)
	{
		scanf("%lld",&a[i]);
		a[i]+=a[i-1];
		d[0][i]=a[i]*a[i];
	}
	for(i=1;i<=m;i++)
	{
		k=0;
		sn=0;
		for(j=1;j<=n;j++)
		{
			insert(-2*a[j-1],a[j-1]*a[j-1]+d[!(i&1)][j-1],j-1);
			if(k>=sn)k=sn-1;
			while(k+1<sn)
			{
                if(-(s[k+1].first.second-s[k].first.second)<a[j]*(s[k+1].first.first-s[k].first.first))break;
				k++;
			}
			d[i&1][j]=a[j]*a[j]+s[k].first.first*a[j]+s[k].first.second;
			vi[i][j]=s[k].second;
		}
	}
	printf("%lld\n",(a[n]*a[n]-d[m&1][n])/2);
	print(m,n);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 84292 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 84292 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 40 ms 84292 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 84292 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 36 ms 84292 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 52 ms 84292 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 40 ms 84292 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 32 ms 84292 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 32 ms 84292 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 48 ms 84292 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 20 ms 84292 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 24 ms 84292 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 444 ms 84292 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 16 ms 84292 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 696 ms 84292 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 456 ms 84292 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 488 ms 84292 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 328 ms 84292 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 380 ms 84292 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 492 ms 84292 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845