結果

問題 No.2546 Many Arithmetic Sequences
ユーザー woodywoodywoodywoody
提出日時 2023-11-25 04:56:18
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 200 ms / 2,000 ms
コード長 8,677 bytes
コンパイル時間 4,067 ms
コンパイル使用メモリ 233,768 KB
実行使用メモリ 10,692 KB
最終ジャッジ日時 2024-09-26 11:18:44
合計ジャッジ時間 9,480 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 59 ms
7,672 KB
testcase_04 AC 152 ms
7,204 KB
testcase_05 AC 111 ms
6,512 KB
testcase_06 AC 20 ms
5,376 KB
testcase_07 AC 54 ms
5,376 KB
testcase_08 AC 19 ms
5,376 KB
testcase_09 AC 65 ms
5,376 KB
testcase_10 AC 117 ms
6,584 KB
testcase_11 AC 129 ms
6,456 KB
testcase_12 AC 51 ms
5,376 KB
testcase_13 AC 117 ms
6,996 KB
testcase_14 AC 160 ms
6,576 KB
testcase_15 AC 45 ms
5,376 KB
testcase_16 AC 139 ms
6,620 KB
testcase_17 AC 82 ms
9,228 KB
testcase_18 AC 96 ms
6,196 KB
testcase_19 AC 98 ms
6,724 KB
testcase_20 AC 73 ms
5,376 KB
testcase_21 AC 49 ms
6,008 KB
testcase_22 AC 117 ms
7,036 KB
testcase_23 AC 196 ms
9,880 KB
testcase_24 AC 195 ms
9,876 KB
testcase_25 AC 194 ms
9,752 KB
testcase_26 AC 195 ms
9,900 KB
testcase_27 AC 200 ms
9,868 KB
testcase_28 AC 128 ms
10,684 KB
testcase_29 AC 129 ms
10,560 KB
testcase_30 AC 131 ms
10,680 KB
testcase_31 AC 134 ms
10,604 KB
testcase_32 AC 131 ms
10,560 KB
testcase_33 AC 2 ms
5,376 KB
testcase_34 AC 141 ms
10,660 KB
testcase_35 AC 2 ms
5,376 KB
testcase_36 AC 182 ms
10,692 KB
testcase_37 AC 2 ms
5,376 KB
testcase_38 AC 2 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,b) for(int i=0;i<b;i++)
#define rrep(i,b) for(int i=b-1;i>=0;i--)
#define rep1(i,b) for(int i=1;i<b;i++)
#define repx(i,x,b) for(int i=x;i<b;i++)
#define rrepx(i,x,b) for(int i=b-1;i>=x;i--)
#define fore(i,a) for(auto& i:a)
#define rng(x) (x).begin(), (x).end()
#define rrng(x) (x).rbegin(), (x).rend()
#define sz(x) ((int)(x).size())
#define pb push_back
#define fi first
#define se second
#define pcnt __builtin_popcountll

using namespace std;
using namespace atcoder;

using ll = long long;
using ld = long double;
template<typename T> using mpq = priority_queue<T, vector<T>, greater<T>>;
template<typename T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<typename T> bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
template<typename T> ll sumv(const vector<T>&a){ll res(0);for(auto&&x:a)res+=x;return res;}
bool yn(bool a) { if(a) {cout << "Yes" << endl; return true;} else {cout << "No" << endl; return false;}}
#define retval(x) {cout << #x << endl; return;}
#define cout2(x,y) cout << x << " " << y << endl;
#define coutp(p) cout << p.fi << " " << p.se << endl;
#define out cout << ans << endl;
#define outd cout << fixed << setprecision(20) << ans << endl;
#define outm cout << ans.val() << endl;
#define outv fore(yans , ans) cout << yans << "\n";
#define outdv fore(yans , ans) cout << yans.val() << "\n";
#define assertmle(x) if (!(x)) {vi v(3e8);}
#define asserttle(x) if (!(x)) {while(1){}}
#define coutv(v) {fore(vy , v) {cout << vy << " ";} cout << endl;}
#define coutv2(v) fore(vy , v) cout << vy << "\n";
#define coutvm(v) {fore(vy , v) {cout << vy.val() << " ";} cout << endl;}
#define coutvm2(v) fore(vy , v) cout << vy.val() << "\n";
using pll = pair<ll,ll>;using pil = pair<int,ll>;using pli = pair<ll,int>;using pii = pair<int,int>;using pdd = pair<ld,ld>;
using vi = vector<int>;using vd = vector<ld>;using vl = vector<ll>;using vs = vector<string>;using vb = vector<bool>;
using vpii = vector<pii>;using vpli = vector<pli>;using vpll = vector<pll>;using vpil = vector<pil>;
using vvi = vector<vector<int>>;using vvl = vector<vector<ll>>;using vvs = vector<vector<string>>;using vvb = vector<vector<bool>>;
using vvpii = vector<vector<pii>>;using vvpli = vector<vector<pli>>;using vvpll = vector<vpll>;using vvpil = vector<vpil>;
using mint = modint998244353;
//using mint = modint1000000007;
//using mint = dynamic_modint<0>;
using vm = vector<mint>;
using vvm = vector<vector<mint>>;
vector<int> dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1};
ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;}
ll lcm(ll a, ll b) { return a/gcd(a,b)*b;}
#define yes {cout <<"Yes"<<endl;}
#define no {cout <<"No"<<endl;}
const double eps = 1e-10;
const ll LINF = 1001002003004005006ll;
const int INF = 1001001001;
#ifdef MY_LOCAL_DEBUG
#include "./debug/localDebug.cpp"
#define showp(p) cerr<<#p<<" = "<<p.fi<<" : "<<p.se<<endl
#define show1(a) cerr<<#a<<" = "<<a<<endl
#define show2(a,b) cerr<<#a<<" = "<<a<<" : "<<#b<<" = "<<b<<endl
#define show3(a,b,c) cerr<<#a<<" = "<<a<<" : "<<#b<<" = "<<b<<" : "<<#c<<" = "<<c<<endl
#define show4(a,b,c,d) cerr<<#a<<" = "<<a<<" : "<<#b<<" = "<<b<<" : "<<#c<<" = "<<c<<" : "<<#d<<" = "<<d<<endl
#define show5(a,b,c,d,e) cerr<<#a<<" = "<<a<<" : "<<#b<<" = "<<b<<" : "<<#c<<" = "<<c<<" : "<<#d<<" = "<<d<<" : "<<#e<<" = "<<e<<endl
#define DEBUG_LINE cout << "DEBUG_LINE : " << __LINE__ << endl
#define showv(v) {cout<<#v<<" : "; fore(vy , v) {cout << vy << " ";} cout << endl;}
#define showv2(v) {cout<<#v<<endl; fore(vy , v) cout << vy << "\n";}
#define showvm(v) {cout<<#v<<" : "; fore(vy , v) {cout << vy.val() << " ";} cout << endl;}
#define showvm2(v) {cout<<#v<<endl; fore(vy , v) cout << vy.val() << "\n";}
#define showmat(v) {cout<<#v<<endl; fore(row , v) { fore(seg , row) cout << seg << " "; cout << endl;}}
#define showmatm(v) {cout<<#v<<endl; fore(row , v) { fore(seg , row) cout << seg.val() << " "; cout << endl;}}
#else
#define showp(p)
#define show1(a)
#define show2(a,b)
#define show3(a,b,c)
#define show4(a,b,c,d)
#define show5(a,b,c,d,e)
#define DEBUG_LINE
#define showv(v)
#define showv2(v)
#define showvm(v)
#define showvm2(v)
#define showmat(v)
#define showmatm(v)
#endif
#define overload5(a,b,c,d,e,f, ...) f
#define show(...) overload5(__VA_ARGS__, show5, show4, show3, show2, show1)(__VA_ARGS__)

template< typename T, T x_low, T x_high, T id >
struct DynamicLiChaoTree {

  struct Line {
    T a, b;

    Line(T a, T b) : a(a), b(b) {}

    inline T get(T x) const { return a * x + b; }
  };

  struct Node {
    Line x;
    Node *l, *r;

    Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {}
  };

  Node *root;

  DynamicLiChaoTree() : root{nullptr} {}

  Node *add_line(Node *t, Line &x, const T &l, const T &r, const T &x_l, const T &x_r) {
    if(!t) return new Node(x);

    T t_l = t->x.get(l), t_r = t->x.get(r);

    if(t_l <= x_l && t_r <= x_r) {
      return t;
    } else if(t_l >= x_l && t_r >= x_r) {
      t->x = x;
      return t;
    } else {
      T m = (l + r) / 2;
      if(m == r) --m;
      T t_m = t->x.get(m), x_m = x.get(m);
      if(t_m > x_m) {
        swap(t->x, x);
        if(x_l >= t_l) t->l = add_line(t->l, x, l, m, t_l, t_m);
        else t->r = add_line(t->r, x, m + 1, r, t_m + x.a, t_r);
      } else {
        if(t_l >= x_l) t->l = add_line(t->l, x, l, m, x_l, x_m);
        else t->r = add_line(t->r, x, m + 1, r, x_m + x.a, x_r);
      }
      return t;
    }
  }

  void add_line(const T &a, const T &b) {
    Line x(a, b);
    root = add_line(root, x, x_low, x_high, x.get(x_low), x.get(x_high));
  }

  Node *add_segment(Node *t, Line &x, const T &a, const T &b, const T &l, const T &r, const T &x_l, const T &x_r) {
    if(r < a || b < l) return t;
    if(a <= l && r <= b) {
      Line y{x};
      return add_line(t, y, l, r, x_l, x_r);
    }
    if(t) {
      T t_l = t->x.get(l), t_r = t->x.get(r);
      if(t_l <= x_l && t_r <= x_r) return t;
    } else {
      t = new Node(Line(0, id));
    }
    T m = (l + r) / 2;
    if(m == r) --m;
    T x_m = x.get(m);
    t->l = add_segment(t->l, x, a, b, l, m, x_l, x_m);
    t->r = add_segment(t->r, x, a, b, m + 1, r, x_m + x.a, x_r);
    return t;
  }

  void add_segment(const T &l, const T &r, const T &a, const T &b) {
    Line x(a, b);
    root = add_segment(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high));
  }

  T query(const Node *t, const T &l, const T &r, const T &x) const {
    if(!t) return id;
    if(l == r) return t->x.get(x);
    T m = (l + r) / 2;
    if(m == r) --m;
    if(x <= m) return min(t->x.get(x), query(t->l, l, m, x));
    else return min(t->x.get(x), query(t->r, m + 1, r, x));
  }

  T query(const T &x) const {
    return query(root, x_low, x_high, x);
  }
};

const ll x_low = 0; const ll x_hi = INF; const ll query_id = LINF;
DynamicLiChaoTree<ll,x_low,x_hi,query_id> li;

//  DynamicLiChaoTree

//  DynamicLiChaoTree<typename T, T x_low, T x_high, T id> : 初期化。
//  add_line(a,b) : 直線ax+bを追加。
//  add_segment_line(a,b,l,r)  :  線分ax+b [l,r)を追加
//  query(x)  :  xでのminを出力

void solve(){
    ll n,m; cin>>n>>m;
    vl a,d;
    ll ans = -LINF;
    DynamicLiChaoTree<ll, 0ll, (ll)5e5, LINF> lc;
    bool ok = false;
    rep(i,n){
        ll b,c; cin>>b>>c;
        if (c >= 0){
            ll tmp = m*(m-1)/2*c + b*m;
            chmax(ans, tmp);
            lc.add_line(-c, -b*2+c);
            ok = true;
        }else{
            a.pb(b);
            d.pb(c);
        }
    }

    n = sz(a);
    if (n == 0){
        out;
        return;
    }

    auto check = [&](ll mid)->bool{
        ll cnt = 0;
        rep(i,n){
            ll tmp = (a[i]-d[i]-mid)/(-d[i]);
            chmax(tmp,0ll);
            cnt += tmp;
            if (cnt >= m) break;
        }
        return (cnt < m);
    };

    ll l = -LINF,u = LINF;
    while(u - l > 1){
        ll mid = (l+u) / 2;
        if (check(mid)) u = mid;
        else l = mid;
    }

    mpq<ll> q;
    ll sum = 0;
    ll cnt = 0;
    rep(i,n){
        ll now = a[i];
        while(now >= u){
            cnt++;
            assert(cnt<=m);
            q.push(now);
            sum += now;
            now += d[i];
        }
    }
    rep(_,m-cnt){
        sum += l;
        q.push(l);
    }

    chmax(ans, sum);

    if (ok){
        rep1(i,m+1){
            sum -= q.top();
            q.pop();
            ll tmp = -lc.query(i)*i/2 + sum;
            chmax(ans, tmp);
        }
    }
    out;

    return;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);

    int t = 1;
    //cin>>t;

    rep(i,t){
        solve();
    }

    return 0;
}
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