제출 #1118127

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1118127		urosk	수열 (APIO14_sequence)	C++14	0 / 100	1172 ms	92404 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 = long 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 = 1000005;
const ll mx = 40000000000000000;
ll n,k;
ll a[maxn];
ll ps[maxn];
ll dp[maxk][maxn];
int opt[maxk][maxn];
vector<array<ld,4> > v;
void tc(){
    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++) {
        ll t = 0;
        bool e = j&1;
        bool f = 1-e;
        for(ll i = 1;i<=n;i++) dp[e][i] = 0;
        for(ll i = j;i<=n;i++) {
            if(si(v)) {
            	t = min(t,si(v)-1);
            	t = max(t,0LL);
            	while(t+1<si(v)&&ps[i]>=v[t+1][0]) t++;
            	while(t>=1&&ps[i]<v[t][0]) t--;
            	dp[e][i] = v[t][1]*ps[i]+v[t][2];
            	opt[j][i] = v[t][3];
            }
            //lin f(-ps[i]*ps[i]+dp[j-1][i],ps[i]);
            ld k1 = ps[i],m1 = -ps[i]*ps[i]+dp[f][i];
            while(si(v)) {
            	auto it = v.back();
            	ll k2 = it[1],m2 = it[2];
            	if(k1==k2) {
            		if(m1>m2) {
            			v.popb();
            			continue;
            		}
            		break;
            	}
            	ld cx = (m2-m1)*1.0/(k1-k2);
            	if(cx<=it[0]) {
            		v.popb();
            	}else {
            		v.pb({cx*1.0,1.0*k1,1.0*m1,i*1.0});
            		break;
            	}
            }
            if(v.empty()) v.pb({-mx*1.0,1.0*k1,1.0*m1,i*1.0});
        }
        //ceri(dp[j],1,n);
    }
    cout<<dp[k&1][n]<<endl;
    for(ll i = k;i>=1;i--) {
        n = opt[i][n];
        cout<<n<< " ";
    }
    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