Submission #13772

# Submission time Handle Problem Language Result Execution time Memory
13772 2015-04-01T09:02:45 Z comet Split the sequence (APIO14_sequence) C++
50 / 100
107 ms 82704 KB
#include<cstdio>
#include<algorithm>
#include<deque>
using namespace std;
typedef unsigned long long ll;
typedef pair<ll,int> pp;
ll d[2][100010],s[100010],N,K;
int r[201][100001];
void f(int x,int y){
	if(x==1)return;
	f(x-1,r[x][y]);
	printf("%d ",r[x][y]);
}
struct convex{
	deque<ll> a,b;
	deque<int> c;
	void init(){a.clear();b.clear();c.clear();}
	void push(ll n,ll m,int v){
		while(a.size()>1&&(b[b.size()-2]-b.back())*(n-a.back())>=(b.back()-m)*(a.back()-a[a.size()-2])){
			a.pop_back();
			b.pop_back();
			c.pop_back();
		}
		a.push_back(n);
		b.push_back(m);
		c.push_back(v);
	}
	pp query(ll x){
		while(a.size()>1&&(a[1]-a[0])*x>(b[0]-b[1])){
			a.pop_front();
			b.pop_front();
			c.pop_front();
		}
		return pp(a[0]*x+b[0],c[0]);
	}
};
int main(){
	scanf("%llu%llu",&N,&K);
	if(K==0)K++;
	for(int i=1;i<=N;i++){
		scanf("%llu",&s[i]);
		s[i]+=s[i-1];
	}
	convex* pre=new convex;
	convex* cur=new convex;
	pp ret;
	for(int g=1;g<=K+1;g++){
		pre->push(0,0,0);
		for(int i=g;i<=N;i++){
			ret=pre->query(s[i]);
			d[g%2][i]=ret.first+(s[N]-s[i])*s[i];
			r[g][i]=ret.second;
			cur->push(s[i],d[g%2][i]-s[i]*s[N],i);
		}
		pre->init();
		swap(cur,pre);
	}
    printf("%llu\n",d[(K+1)&1][N]);
    f(K+1,N);
	delete cur,pre;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 82440 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 13 ms 82440 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 82440 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 82440 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 82440 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 82440 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 82440 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 4 ms 82440 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 82440 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 82440 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 20 ms 82440 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 82440 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 10 ms 82440 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 82568 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 82700 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Incorrect 107 ms 82704 KB Output isn't correct - contestant didn't find the optimal answer: 4966316222965701 < 4973126687469639
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -