Submission #404541

#	Time	Username	Problem	Language	Result	Execution time	Memory
404541		Fidisk	Discharging (NOI20_discharging)	C++14	100 / 100	972 ms	965156 KiB

Discharging

#include <bits/stdc++.h>
using namespace std;

#define oo 1e15
#define fi first
#define se second
#define sp(iiii) setprecision(iiii)
#define IO ios_base::sync_with_stdio(false); cin.tie(0)
#define ms(aaaa,xxxx) memset(aaaa,xxxx,sizeof(aaaa))
#define cntbit(xxxx) __builtin_popcount(xxxx)
#define getbit(xxxx,aaaa) ((xxxx>>(aaaa-1))&1)

typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<pair<int,int>,int> piii;
typedef pair<long long,long long> pll;
typedef pair<pair<long long,long long>,long long> plll;
typedef pair<pair<long long,long long>,pair<long long,long long>> pllll;
typedef pair<pair<long long,long long>,bool> pllb;

const ll base=361;
const ll mod=998244353;
const ld eps=1e-5;
const ll maxn=1e9+9;

ll n,i,j,a[1000009],f[1000009],sizet;

struct segtree_ele{
    pll line;
    ll l,r;
} segtree[30000009];

ll getval(pll line,ll gt) {
    return line.fi*gt+line.se;
}

ll getnode(ll &x) {
    if (x!=0) {
        return x;
    }
    sizet++;
    x=sizet;
    segtree[x].l=0;
    segtree[x].r=0;
    segtree[x].line={0,-oo};
    return x;
}

void update(ll id,ll l,ll r,pll line) {
    if (line.fi<segtree[id].line.fi) {
        swap(segtree[id].line,line);
    }
    if (line.fi==segtree[id].line.fi) {
        segtree[id].line.se=max(segtree[id].line.se,line.se);
        return;
    }
    if (r-l==1) {
        return;
    }
    ll mid=(r+l)/2;
    if (getval(line,l)>getval(segtree[id].line,l)) {
        swap(line,segtree[id].line);
        update(getnode(segtree[id].l),l,mid,line);
    }
    else {
        if (getval(line,mid)>getval(segtree[id].line,mid)) {
            swap(segtree[id].line,line);
            update(getnode(segtree[id].l),l,mid,line);
        }
        else {
            update(getnode(segtree[id].r),mid,r,line);
        }
    }
}

ll get(ll id,ll l,ll r,ll gt) {
    if (r-l==1) {
        return getval(segtree[id].line,gt);
    }
    ll mid=(r+l)/2;
    if (gt<mid) {
        return max(getval(segtree[id].line,gt),get(getnode(segtree[id].l),l,mid,gt));
    }
    else {
        return max(getval(segtree[id].line,gt),get(getnode(segtree[id].r),mid,r,gt));
    }
}
int main(){
    IO;
    sizet=0;
    getnode(n);
    cin>>n;
    for (i=1;i<=n;i++) {
        cin>>a[i];
        a[i]=max(a[i-1],a[i]);
    }
    update(1,1,maxn,{0,0});
    for (i=1;i<=n;i++) {
        f[i]=-get(1,1,maxn,a[i])+n*a[i];
        update(1,1,maxn,{i,-f[i]});
    }
    cout<<f[n]<<'\n';
}

• Subtask 1: 9 / 9
• Subtask 2: 13 / 13
• Subtask 3: 25 / 25
• Subtask 4: 11 / 11
• Subtask 5: 14 / 14
• Subtask 6: 28 / 28