Submission #1118043

#	Time	Username	Problem	Language	Result	Execution time	Memory
1118043		urosk	Split the sequence (APIO14_sequence)	C++14	0 / 100	92 ms	131072 KiB

sequence

#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#define llinf 100000000000000000LL // 10^17
#define iinf 2000000000 // 2*10^9
#define pb push_back
#define eb emplace_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define all(a) a.begin(),a.end()
#define ceri(a,l,r) {cerr<<#a<<": ";for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;}
#define cer(a) {cerr<<#a<<": ";for(ll x_ : a) cerr<<x_<< " ";cerr<<endl;}
#define si(a) (ll)(a.size())
using namespace std;
using ld = double;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pld = pair<ld,ld>;

#define mod 1
ll add(ll x,ll y){
	x+=y;
	if(x<0){
		x%=mod;
		x+=mod;
	}else{
		if(x>=mod) x%=mod;
	}
	return x;
}
ll mul(ll a,ll b){
	a = add(a,0);
	b = add(b,0);
	ll ans = (a*b)%mod;
	if(ans<0) ans+=mod;
	return ans;
}


const ll maxn = 100005;
const ll maxk = 205;
const ll maxx = 10000005;
const ll mx = 1000000000;
ll n,k;
ll a[maxn];
ll ps[maxn];
ll dp[maxk][maxn];
ll opt[maxk][maxn];
struct lin {
	ll n,k;
	lin(){n = -llinf,k = 0;}
	lin(ll n_,ll k_){n = n_,k = k_;}
	ll operator()(ll x){return k*x+n;}
};
pair<ll,lin> t[maxx];
ll ls[maxx],rs[maxx],tsz = 0,root = 0;
void upd(ll &v,ll tl,ll tr,pair<ll,lin> p) {
	if(!v) v = ++tsz;
	if(t[v].sc.n==-llinf){t[v] = p;return;}
	ll mid = tl+(tr-tl)/2;
	if(t[v].sc(mid)<p.sc(mid)) {
		swap(t[v],p);
	}
	lin g = t[v].sc;
	if(g(tl)>=p.sc(tl)) {
		upd(rs[v],mid+1,tr,p);
	}else {
		upd(ls[v],tl,mid,p);
	}
}
pair<ll,ll> get(ll &v,ll tl,ll tr,ll i) {
	if(!v) return {-llinf,0};
	cerr<<t[v].sc(i)<<endl;
	if(tl==tr){return {t[v].sc(i),t[v].fi};}
	ll mid = tl+(tr-tl)/2;
	pll val = {t[v].sc(i),t[v].fi};
	if(i<=mid) return max(val,get(ls[v],tl,mid,i));
	return max(val,get(rs[v],mid+1,tr,i));
}
void tc(){
	pair<ll,lin> pp;
	pp.fi = 0;
	pp.sc = lin();
	for(ll i = 0;i<maxx;i++) t[i] = pp;
	cin >> n >> k;
	for(ll i = 1;i<=n;i++) cin >> a[i];
	for(ll i = 1;i<=n;i++) ps[i] = ps[i-1] + a[i];
	for(ll j = 1;j<=k;j++) {
		for(ll i = 1;i<=n;i++) {
			auto it = get(root,-mx,mx,ps[i]);
			dp[j][i] = it.fi;
			opt[j][i] = it.sc;
			lin f(-ps[i]*ps[i]+dp[j-1][i],ps[i]);
			upd(root,-mx,mx,{i,f});
		}
		for(ll i = 0;i<=tsz;i++) {
			t[i] = pp;
			ls[i] = rs[i] = 0;
		}
		root = tsz = 0;
	}
	cout<<dp[k][n]<<endl;
	vector<ll> v;
	for(ll i = k;i>=1;i--) {
		n = opt[i][n];
		v.pb(n);
	}
	reverse(all(v));
	for(ll x : v) cout<<x<< " ";
	cout<<endl;
}

int main(){
	ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
	int t; t = 1;
	while(t--){
		tc();
	}
	return (0-0);
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29