Submission #1248389

#TimeUsernameProblemLanguageResultExecution timeMemory
1248389Zbyszek99Cake 3 (JOI19_cake3)C++20
100 / 100
976 ms196136 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define ull unsigned long long
#define ff first
#define ss second
#define pii pair<int,int>
#define pll pair<long long, long long>
#define vi vector<int>
#define vl vector<long long>
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define siz(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace __gnu_pbds;
using namespace std;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());}
//ll los(ll a, ll b) {return a + (mt() % (b-a+1));}
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;

int n,m;

struct node
{
    int l = 0;
    int r = (1 << 18)-1;
    ll sum = 0;
    int cnt = 0;
    node* left = NULL;
    node* right = NULL;
    void add(int x, ll val, node* prev)
    {
        if(prev != NULL) 
        {
            sum = prev->sum;
            cnt = prev->cnt;
        }
        sum += val;
        cnt++;
        if(l == r)
        {
            return;
        }
        if(x <= (l+r)/2)
        {
            if(prev != NULL) right = prev -> right;
            left = new node;
            left -> l = l;
            left -> r = (l+r)/2;
            left -> add(x,val,(prev != NULL ? prev -> left : NULL));
        }
        else
        {
            if(prev != NULL) left = prev -> left;
            right = new node;
            right -> l = (l+r)/2+1;
            right -> r = r;
            right -> add(x,val,(prev != NULL ? prev -> right : NULL));
        }
    }
    ll get_sum(node* prev, int k)
    {
        if(l == r)
        {
            return (ll)(sum/cnt) * min(k,cnt - (prev != NULL ? prev -> cnt : 0));
        }
        int r_cnt = (right != NULL ? right -> cnt : 0)  - (prev != NULL && prev -> right != NULL ? prev -> right -> cnt : 0);
        if(r_cnt >= k) return (right != NULL ? right->get_sum((prev != NULL && prev -> right != NULL ? prev->right : NULL),k) : 0);
        return (left != NULL ? left->get_sum((prev != NULL && prev->left != NULL ? prev->left : NULL),k-r_cnt) : 0) + (right != NULL ? right -> sum : 0)  - (prev != NULL && prev -> right != NULL ? prev -> right -> sum : 0);
    }
};

ll V[200001];
ll C[200001];
vector<node> nodes;
ll ans = -1e18;

ll get_sum(int l, int r)
{
    if(r-l+1 < m) return -1e18;
    return nodes[r+1].get_sum(&nodes[l],m) - (C[r]-C[l])*2;
}

void solve(int l, int r, int l2, int r2)
{
    if(l > r) return;
    int mid = (l+r)/2;
    pll best = {-1e18,1};
    rep2(i,l2,r2)
    {
        if(i <= mid)
        {
            best = max(best,{get_sum(i,mid),i});
        }
    }
    ans = max(ans,best.ff);
    solve(l,mid-1,l2,best.ss);
    solve(mid+1,r,best.ss,r2);
}

int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    //random_start();
    cin >> n >> m;
    vector<pll> v_sort;
    rep(i,n)
    {
        ll v,c;
        cin >> v >> c;
        v_sort.pb({c,v});
    }
    sort(all(v_sort));
    map<ll,int> poz;
    rep(i,n)
    {
        V[i] = v_sort[i].ss;
        C[i] = v_sort[i].ff;
        poz[V[i]] = 0;
    }
    int cur = 0;
    forall(it,poz)
    {
        poz[it.ff] = cur++;
    }
    node xd;
    nodes.pb(xd);
    rep(i,n)
    {
        node new_node;
        new_node.add(poz[V[i]],V[i],&nodes.back());
        nodes.pb(new_node);
    }
    solve(m-1,n-1,0,n-1);
    cout << ans;
}
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