結果

問題 No.1074 増殖
ユーザー yuji9511yuji9511
提出日時 2020-06-05 22:38:26
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 572 ms / 2,000 ms
コード長 9,340 bytes
コンパイル時間 2,080 ms
コンパイル使用メモリ 182,172 KB
実行使用メモリ 11,496 KB
最終ジャッジ日時 2023-08-22 16:31:20
合計ジャッジ時間 6,415 ms
ジャッジサーバーID
(参考情報)
judge15 / judge13
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 5 ms
10,024 KB
testcase_01 AC 4 ms
10,080 KB
testcase_02 AC 4 ms
10,012 KB
testcase_03 AC 5 ms
10,088 KB
testcase_04 AC 5 ms
10,028 KB
testcase_05 AC 5 ms
10,020 KB
testcase_06 AC 383 ms
11,352 KB
testcase_07 AC 319 ms
11,356 KB
testcase_08 AC 366 ms
11,268 KB
testcase_09 AC 572 ms
11,316 KB
testcase_10 AC 304 ms
11,496 KB
testcase_11 AC 284 ms
11,260 KB
testcase_12 AC 287 ms
11,264 KB
testcase_13 AC 441 ms
11,264 KB
testcase_14 AC 441 ms
11,268 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 #

/*** author: yuji9511 ***/
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using lpair = pair<ll, ll>;
const ll MOD = 1e9+7;
const ll INF = 1e18;
#define rep(i,m,n) for(ll i=(m);i<(n);i++)
#define rrep(i,m,n) for(ll i=(m);i>=(n);i--)
#define printa(x,n) for(ll i=0;i<n;i++){cout<<(x[i])<<" \n"[i==n-1];};
void print() {}
template <class H,class... T>
void print(H&& h, T&&... t){cout<<h<<" \n"[sizeof...(t)==0];print(forward<T>(t)...);}
class SegmentTree {
  struct Node {
    Node *left, *right;
    ll max_v, smax_v, max_c;
    ll min_v, smin_v, min_c;
    ll sum;
    ll len, ladd, lval;

    Node() : left(0), right(0), ladd(0), lval(INF) {}

    void init(ll x) {
      max_v = min_v = sum = x;
      smax_v = -INF; smin_v = INF;
      max_c = min_c = 1;
    }

    void init_empty() {
      max_v = smax_v = -INF;
      min_v = smin_v = INF;
      max_c = min_c = 0;
    }

    void update_max(ll x) {
      sum += (x - max_v) * max_c;

      if(max_v == min_v) {
        max_v = min_v = x;
      } else if(max_v == smin_v) {
        max_v = smin_v = x;
      } else {
        max_v = x;
      }

      if(lval != INF && x < lval) {
        lval = x;
      }
    }

    void update_min(ll x) {
      sum += (x - min_v) * min_c;

      if(max_v == min_v) {
        max_v = min_v = x;
      } else if(max_v == smin_v) {
        min_v = smax_v = x;
      } else {
        min_v = x;
      }

      if(lval != INF && lval < x) {
        lval = x;
      }
    }

    void addall(ll x) {
      max_v += x;
      if(smax_v != -INF) smax_v += x;
      min_v += x;
      if(smin_v != INF) smin_v += x;

      sum += len * x;
      if(lval != INF) {
        lval += x;
      } else {
        ladd += x;
      }
    }

    void updateall(ll x) {
      max_v = min_v = x;
      smax_v = -INF; smin_v = INF;
      max_c = min_c = len;

      sum = len * x;
      lval = x; ladd = 0;
    }

    void push() {

      if(lval != INF) {
        left->updateall(lval);
        right->updateall(lval);
        lval = INF;
        return;
      }

      if(ladd != 0) {
        left->addall(ladd);
        right->addall(ladd);
        ladd = 0;
      }

      if(max_v < left->max_v) {
        left->update_max(max_v);
      }
      if(left->min_v < min_v) {
        left->update_min(min_v);
      }

      if(max_v < right->max_v) {
        right->update_max(max_v);
      }
      if(right->min_v < min_v) {
        right->update_min(min_v);
      }
    }

    void update() {
      sum = left->sum + right->sum;

      if(left->max_v < right->max_v) {
        max_v = right->max_v;
        max_c = right->max_c;
        smax_v = max(left->max_v, right->smax_v);
      } else if(left->max_v > right->max_v) {
        max_v = left->max_v;
        max_c = left->max_c;
        smax_v = max(left->smax_v, right->max_v);
      } else {
        max_v = left->max_v;
        max_c = left->max_c + right->max_c;
        smax_v = max(left->smax_v, right->smax_v);
      }

      if(left->min_v < right->min_v) {
        min_v = left->min_v;
        min_c = left->min_c;
        smin_v = min(left->smin_v, right->min_v);
      } else if(left->min_v > right->min_v) {
        min_v = right->min_v;
        min_c = right->min_c;
        smin_v = min(left->min_v, right->smin_v);
      } else {
        min_v = left->min_v;
        min_c = left->min_c + right->min_c;
        smin_v = min(left->smin_v, right->smin_v);
      }
    }
  };

  ll n, n0;
  Node *root;

  void _update_min(ll x, ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a || nd->max_v <= x) {
      return;
    }
    if(a <= l && r <= b && nd->smax_v < x) {
      nd->update_max(x);
      return;
    }

    nd->push();
    _update_min(x, a, b, nd->left, l, (l+r)/2);
    _update_min(x, a, b, nd->right, (l+r)/2, r);
    nd->update();
  }

  void _update_max(ll x, ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a || x <= nd->min_v) {
      return;
    }
    if(a <= l && r <= b && x < nd->smin_v) {
      nd->update_min(x);
      return;
    }

    nd->push();
    _update_max(x, a, b, nd->left, l, (l+r)/2);
    _update_max(x, a, b, nd->right, (l+r)/2, r);
    nd->update();
  }

  void _add_val(ll x, ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a) {
      return;
    }
    if(a <= l && r <= b) {
      nd->addall(x);
      return;
    }

    nd->push();
    _add_val(x, a, b, nd->left, l, (l+r)/2);
    _add_val(x, a, b, nd->right, (l+r)/2, r);
    nd->update();
  }

  void _update_val(ll x, ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a) {
      return;
    }
    if(a <= l && r <= b) {
      nd->updateall(x);
      return;
    }

    nd->push();
    _update_val(x, a, b, nd->left, l, (l+r)/2);
    _update_val(x, a, b, nd->right, (l+r)/2, r);
    nd->update();
  }

  ll _query_max(ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a) {
      return -INF;
    }
    if(a <= l && r <= b) {
      return nd->max_v;
    }
    nd->push();
    ll lv = _query_max(a, b, nd->left, l, (l+r)/2);
    ll rv = _query_max(a, b, nd->right, (l+r)/2, r);
    return max(lv, rv);
  }

  ll _query_min(ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a) {
      return INF;
    }
    if(a <= l && r <= b) {
      return nd->min_v;
    }
    nd->push();
    ll lv = _query_min(a, b, nd->left, l, (l+r)/2);
    ll rv = _query_min(a, b, nd->right, (l+r)/2, r);
    return min(lv, rv);
  }

  ll _query_sum(ll a, ll b, Node *nd, ll l, ll r) {
    if(b <= l || r <= a) {
      return 0;
    }
    if(a <= l && r <= b) {
      return nd->sum;
    }
    nd->push();
    ll lv = _query_sum(a, b, nd->left, l, (l+r)/2);
    ll rv = _query_sum(a, b, nd->right, (l+r)/2, r);
    return lv + rv;
  }

public:
  SegmentTree(ll n, ll *a) : n(n) {
    n0 = 1;
    while(n0 < n) n0 <<= 1;

    Node *nds = new Node[2*n0];
    root = nds;

    nds[0].len = n0;
    for(ll i=0; i<n0-1; ++i) {
      nds[i].left = &nds[2*i+1];
      nds[i].right = &nds[2*i+2];
      nds[2*i+1].len = nds[2*i+2].len = (nds[i].len >> 1);
    }

    for(ll i=0; i<n; ++i) nds[n0-1+i].init(a[i]);
    for(ll i=n; i<n0; ++i) nds[n0-1+i].init_empty();
    for(ll i=n0-2; i>=0; i--) nds[i].update();
  }

  void update_min(ll a, ll b, ll x) {
    _update_min(x, a, b, root, 0, n0);
  }

  void update_max(ll a, ll b, ll x) {
    _update_max(x, a, b, root, 0, n0);
  }

  void add_val(ll a, ll b, ll x) {
    _add_val(x, a, b, root, 0, n0);
  }

  void update_val(ll a, ll b, ll x) {
    _update_val(x, a, b, root, 0, n0);
  }

  ll query_max(ll a, ll b) {
    return _query_max(a, b, root, 0, n0);
  }

  ll query_min(ll a, ll b) {
    return _query_min(a, b, root, 0, n0);
  }

  ll query_sum(ll a, ll b) {
    return _query_sum(a, b, root, 0, n0);
  }
};

void solve(){
    ll N;
    cin >> N;
    ll xa[40010], ya[40010], xb[40010], yb[40010];
    rep(i,0,N){
        cin >> xa[i] >> ya[i] >> xb[i] >> yb[i];
        xa[i] *= -1;
        ya[i] *= -1;
    }

    ll ans[40010] = {};
    ll cur[20010] = {};
    SegmentTree sg(20110, cur);

    rep(i,0,N){
        ll lv = -1, rv = 20010;
        while(rv - lv > 1){
            ll mid = (rv + lv) / 2;
            ll val = sg.query_sum(mid, mid+1);
            if(val >= yb[i]){
                lv = mid;
            }else{
                rv = mid;
            }
        }
        ll sum = 0;
        if(rv < xb[i]){
            sum = sg.query_sum(rv, xb[i]);
            sum = yb[i] * (xb[i] - rv) - sum;
            ans[i] += sum;
        }
        sg.update_max(0, xb[i], yb[i]);
    }
    sg.update_val(0,20010,0);
    rep(i,0,N){
        ll lv = -1, rv = 20010;
        // rep(i,0,5){
        //     cout << sg.query_sum(i,i+1) << " ";
        // }
        // cout << endl;
        while(rv - lv > 1){
            ll mid = (rv + lv) / 2;
            ll val = sg.query_sum(mid, mid+1);
            if(val >= ya[i]){
                lv = mid;
            }else{
                rv = mid;
            }
        }
        ll sum = 0;
        if(rv < xb[i]){
            sum = sg.query_sum(rv, xb[i]);
            sum = ya[i] * (xb[i] - rv) - sum;
            ans[i] += sum;
        }
        sg.update_max(0, xb[i], ya[i]);
    }
    sg.update_val(0,20010,0);
    rep(i,0,N){
        ll lv = -1, rv = 20010;
        while(rv - lv > 1){
            ll mid = (rv + lv) / 2;
            ll val = sg.query_sum(mid, mid+1);
            if(val >= ya[i]){
                lv = mid;
            }else{
                rv = mid;
            }
        }
        ll sum = 0;
        if(rv < xa[i]){
            sum = sg.query_sum(rv, xa[i]);
            sum = ya[i] * (xa[i] - rv) - sum;
            ans[i] += sum;
        }
        sg.update_max(0, xa[i], ya[i]);
    }

    sg.update_val(0,20010,0);
    rep(i,0,N){
        ll lv = -1, rv = 20010;
        while(rv - lv > 1){
            ll mid = (rv + lv) / 2;
            ll val = sg.query_sum(mid, mid+1);
            if(val >= yb[i]){
                lv = mid;
            }else{
                rv = mid;
            }
        }
        ll sum = 0;
        if(rv < xa[i]){
            sum = sg.query_sum(rv, xa[i]);
            sum = yb[i] * (xa[i] - rv) - sum;
            ans[i] += sum;
        }
        sg.update_max(0, xa[i], yb[i]);
    }

    rep(i,0,N) print(ans[i]);

    

}

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