Submission #114189

#	Time	Username	Problem	Language	Result	Execution time	Memory
114189		dorijanlendvaj	Split the sequence (APIO14_sequence)	C++14	100 / 100	1395 ms	81016 KiB

sequence

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define x first
#define y second
#define pii pair<int,int>
#define pb push_back
#define eb emplace_back

using namespace std;
using namespace __gnu_pbds;

typedef long long int ll;
typedef unsigned long long int ull;
int MOD=1000000007;
int MOD2=998244353;
vector<int> bases;
const ll LLINF=1ll<<60;
const char en='\n';

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void yes() {cout<<"YES"<<en; exit(0);}
void no() {cout<<"NO"<<en; exit(0);}
inline int rund() {int x576363482791fuweh=rng();return abs(x576363482791fuweh)%RAND_MAX;}
template<class T>
void prVec(vector<T> w)
{
	cout<<w.size()<<endl;
	for (int i=0;i<int(w.size())-1;++i) cout<<w[i]<<' ';
	if (w.size()) cout<<w[w.size()-1]<<endl;
}

void M998()
{
	swap(MOD,MOD2);
}

ll raand()
{
	ll a=rund();
	a*=RAND_MAX;
	a+=rund();
    return a;
}

#define rand raand

ll raaand()
{
	return raand()*(MOD-7)+raand();
}

string to_upper(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='a' && a[i]<='z') a[i]-='a'-'A';
	return a;
}

string to_lower(string a)
{
	for (int i=0;i<(int)a.size();++i) if (a[i]>='A' && a[i]<='Z') a[i]+='a'-'A';
	return a;
}

ll sti(string a)
{
	ll k=0;
	for (int i=0;i<(int)a.size();++i)
	{
		k*=10;
		k+=a[i]-'0';
	}
	return k;
}

string its(ll k)
{
	if (k==0) return "0";
	string a;
	while (k)
	{
		a.push_back((k%10)+'0');
		k/=10;
	}
	reverse(a.begin(),a.end());
	return a;
}

ll min(ll a,int b)
{
	if (a<b) return a;
	return b;
}

ll min(int a,ll b)
{
	if (a<b) return a;
	return b;
}

ll max(ll a,int b)
{
	if (a>b) return a;
	return b;
}

ll max(int a,ll b)
{
	if (a>b) return a;
	return b;
}

ll gcd(ll a,ll b)
{
	if (b==0) return a;
	return gcd(b,a%b);
}

ll lcm(ll a,ll b)
{
	return a/gcd(a,b)*b;
}

template<class T,class K>
pair<T,K> mp(T a,K b)
{
	return make_pair(a,b);
}

inline int mult(ll a,ll b)
{
	return (a*b)%MOD;
}

inline int pot(int n,int k)
{
	if (k==0) return 1;
	ll a=pot(n,k/2);
	a=mult(a,a);
	if (k%2) return mult(a,n);
	else return a;
}

int divide(int a,int b)
{
	return mult(a,pot(b,MOD-2));
}

inline int sub(int a,int b)
{
	if (a-b>=0) return a-b;
	return a-b+MOD;
}

inline int add(int a,int b)
{
	if (a+b>=MOD) return a+b-MOD;
	return a+b;
}

bool prime(ll a)
{
	if (a==1) return 0;
	for (int i=2;i<=round(sqrt(a));++i)
	{
		if (a%i==0) return 0;
	}
	return 1;
}

ll has(string x)
{
	ll h1=0,h2=0;
	x=to_lower(x);
	for (char a: x)
	{
		h1*=bases[0];
		h1+=a-'a';
		h1%=bases[3];
		h2*=bases[1];
		h2+=a-'a';
		h2%=bases[4];
	}
	return h1*(MOD+13893829)+h2;
}

const int N=100010;
int n,k,op[210][N],ps[N];
ll dp[2][N];
//vector<pair<pii,pii>> v;
int dx[]={0,1,0,-1};
int dy[]={1,0,-1,0};

/*void addLine(int a,int b)
{
	if (v.empty())
	{
		v.pb({{0,MOD},{a,b}});
		return;
	}
	int c=v.back().y.x,d=v.back().y.y;
	if ((b-d)%(c-a)==0)
	{
		int z=(b-d)/(c-a);
		v.back().x.x=z;
		v.pb({{0,z-1},{a,b}});
	}
	else
	{
		int z=(b-d)/(c-a);
		v.back().x.x=z+1;
		v.pb({{0,z},{a,b}});
	}
}

ll getVal(int x)
{
	auto r=lower_bound(v.rbegin(),v.rend(),mp(mp(x+1,0),mp(0,0)));
	--r;
	return r->y.x*1ll*x+r->y.y;
}*/

void d(int k,int l,int r,int lopt,int ropt)
{
	if (l>=r) return;
	ll ma=-LLINF;
	int opt=MOD;
	int mid=(l+r)/2;
	for (int i=lopt;i<=min(mid-1,ropt);++i)
	{
		ll val=dp[(k+1)%2][i]+1ll*(ps[n]-ps[mid])*(ps[mid]-ps[i]);
		if (val>ma)
		{
			opt=i;
			ma=val;
		}
	}
	dp[k%2][mid]=ma;
	op[k][mid]=opt;
	d(k,l,mid,lopt,opt);
	d(k,mid+1,r,opt,ropt);
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	for (int i=0;i<10;++i) bases.push_back((rand()%MOD+13893829)%MOD);
	cin>>n>>k;
	for (int i=0;i<n;++i)
	{
		int a;
		cin>>a;
		ps[i+1]=ps[i]+a;
	}
	for (int i=1;i<=k;++i)
	{
		d(i,0,n,0,n);
		//for (int j=0;j<n;++j) if (dp[i][j]>0) cout<<dp[i][j]<<' ';
		//else cout<<"-1 ";
		//cout<<en;
	}
	int r=0;
	for (int i=0;i<n;++i) if (dp[k%2][i]>dp[k%2][r]) r=i;
	cout<<dp[k%2][r]<<endl;
	vector<int> a;
	for (int i=k;i>=1;--i)
	{
		a.pb(r);
		r=op[i][r];
	}
	reverse(a.begin(),a.end());
	for (auto b: a) cout<<b<<' ';
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 29 / 29