Submission #13771

# Submission time Handle Problem Language Result Execution time Memory
13771 2015-04-01T08:55:49 Z comet Split the sequence (APIO14_sequence) C++
0 / 100
0 ms 43184 KB
#include<cstdio>
#include<algorithm>
#include<deque>
using namespace std;
typedef unsigned long long ll;
typedef pair<ll,ll> pp;
ll d[2][100010],s[100010],N,K;
short r[201][100001];
void f(int x,int y){
	if(x==1)return;
	f(x-1,r[x][y]);
	printf("%d ",(int)r[x][y]);
}
struct convex{
	deque<ll> a,b,c;
	void init(){a.clear();b.clear();c.clear();}
	void push(ll n,ll m,ll 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("%lld%lld",&N,&K);
	if(K==0)K++;
	for(int i=1;i<=N;i++){
		scanf("%lld",&s[i]);
		s[i]+=s[i-1];
	}
	convex* pre=new convex;
	convex* cur=new convex;
	pp ret;
	for(int i=1;i<=N;i++){
		d[1][i]=s[i]*(s[N]-s[i]);
		pre->push(s[i],d[1][i]-s[i]*s[N],i);
	}
	for(int g=2;g<=K+1;g++){
		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("%lld\n",d[(K+1)&1][N]);
    f(K+1,N);
	delete cur,pre;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 43184 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 43184 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Incorrect 0 ms 43184 KB Output isn't correct - Integer 2 violates the range [1, 1]
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -