Submission #265321

#TimeUsernameProblemLanguageResultExecution timeMemory
265321amoo_safarSplit the sequence (APIO14_sequence)C++14
71 / 100
1916 ms131076 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
 
#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'
 
using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
 
const ll Mod = 1e9 + 7;
const ll Inf = 2242545357980376863LL;
const ll Log = 20;
//const ll N = 1ll << Log;
const int Maxn = 1e5 + 10;
const int Base = 101;
 
 
 
typedef pair < ll , ll > Line;
struct CHT{
    set < pair < Line , ll > > S;
    set < pair < ll , Line > > I;
    map< Line, int> mp;
	ll INF = 4e18;
    inline void Add(Line X, ll idx)
    {
    	X.F *= -1;
    	X.S *= -1;
    	mp[X] = idx;
    	
        ll t = -INF;
        auto it = S.lower_bound({X, -INF});
        while ((int)S.size())
        {
            if (it == S.begin())
                {t = -INF; break;}
            it --; ll r = Intersection(it->first, X);
            if (r <= it->second)
                I.erase({it->second, it->first}), it = S.erase(it);
            else
                {t = r; break;}
        }
        it = S.lower_bound({X, -INF});
        while ((int)S.size())
        {
            if (it == S.end())
                break;
            ll r = Intersection(X, it->first);
            Line Y = it->first;
            I.erase({it->second, it->first});
            it = S.erase(it);
            if (r <= t)
            {
                r = -INF;
                if (it != S.begin())
                    it --, r = Intersection(it->first, Y);
                S.insert({Y, r}); I.insert({r, Y}); return ;
            }
            if (it != S.end() && it->second <= r)
                continue;
            S.insert({Y, r}); I.insert({r, Y}); break;
        }
        S.insert({X, t}); I.insert({t, X});
    }
    inline pll GetMin(ll X)
    {
        auto it = I.upper_bound({X, {INF, INF}}); it --;
        return pll(-(X * it->second.first + it->second.second), mp[it -> S]);
    }
    inline ll Intersection(Line X, Line Y)
    {
        if (X.first == Y.first && X.second <= Y.second)
            return (-INF);
        if (X.first == Y.first)
            return (INF);
        return ((X.second - Y.second) / (Y.first - X.first)) + ((X.second - Y.second) % (Y.first - X.first) > 0);
    }
};
CHT cht;
 
 
 
 
 
ll a[Maxn], mk[Maxn];
ll ps[Maxn], sf[Maxn];
 
ll dp[Maxn][203], par[Maxn][203];
vector<ll> A;
 
int main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	ll n, k;
	cin >> n >> k;
	for(int i = 0; i < n; i++) cin >> a[i];
	ps[0] = 0;
	for(int i = 1; i <= n; i++) ps[i] = ps[i - 1] + a[i - 1];
	
	for(int i = 0; i <= n; i++) dp[i][0] = ps[i] * ps[i];
	pll res;
	for(int j = 1; j <= k; j++){
		cht.I.clear();
		cht.S.clear();
		cht.mp.clear();
	
		dp[0][j] = 0;
		for(int i = 1; i <= n; i++){
			cht.Add( pll(-2LL * ps[i - 1], dp[i - 1][j - 1] + ps[i - 1]*ps[i - 1] ), i - 1);
			res = cht.GetMin(ps[i]);
			dp[i][j] = res.F + ps[i]*ps[i];
			par[i][j] = res.S;
		}
	}
	cout << ((ps[n] * ps[n]) - dp[n][k]) / 2LL << '\n';
	ll nw = n;
	for(int i = 0; i < k; i++){
		nw = par[nw][k - i];
		A.pb(nw);
	}
	reverse(all(A));
	for(auto x : A) cout << x << ' ';
	cout << '\n';
	return 0;
}
/*
7 3
4 1 3 4 0 2 3

*/
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