Submission #1017007

#	Time	Username	Problem	Language	Result	Execution time	Memory
1017007		MilosMilutinovic	Progression (NOI20_progression)	C++14	100 / 100	1259 ms	236372 KiB

Progression

#include <bits/stdc++.h>
 
using namespace std;
 
const int MAX = 300300;
const long long inf = (long long) 1e18;
 
struct Value { 
  struct Node {
    long long sum;
    long long coeff;
    long long sum_set;
    long long coeff_set;
    long long sum_add;
    long long coeff_add;
    Node(long long _sum = 0, long long _coeff = 0) : sum(_sum), coeff(_coeff) {
      sum_set = coeff_set = inf;
      sum_add = coeff_add = 0;
    }
  };
 
  int n;
  Node st[8 * MAX];
 
  void Push(int id) {
    if (st[id].sum_set == inf) {
      st[id * 2].sum += st[id].sum_add;
      st[id * 2].coeff += st[id].coeff_add;
      st[id * 2 + 1].sum += st[id].sum_add;
      st[id * 2 + 1].coeff += st[id].coeff_add;
      st[id * 2].sum_add += st[id].sum_add;
      st[id * 2].coeff_add += st[id].coeff_add;
      st[id * 2 + 1].sum_add += st[id].sum_add;
      st[id * 2 + 1].coeff_add += st[id].coeff_add;
      st[id].sum_add = 0;
      st[id].coeff_add = 0;
    } else {
      st[id * 2].sum = st[id].sum_set + st[id].sum_add;
      st[id * 2].coeff = st[id].coeff_set + st[id].coeff_add;
      st[id * 2 + 1].sum = st[id].sum_set + st[id].sum_add;
      st[id * 2 + 1].coeff = st[id].coeff_set + st[id].coeff_add;
      st[id * 2].sum_set = st[id].sum_set;
      st[id * 2].coeff_set = st[id].coeff_set;
      st[id * 2].sum_add = st[id].sum_add;
      st[id * 2].coeff_add = st[id].coeff_add;
      st[id * 2 + 1].sum_set = st[id].sum_set;
      st[id * 2 + 1].coeff_set = st[id].coeff_set;
      st[id * 2 + 1].sum_add = st[id].sum_add;
      st[id * 2 + 1].coeff_add = st[id].coeff_add;
      st[id].sum_set = inf;
      st[id].coeff_set = inf;
      st[id].sum_add = 0;
      st[id].coeff_add = 0;
    }
  }
 
  void Add(int id, int l, int r, int ll, int rr, long long x, long long y) {
    if (ll <= l && r <= rr) {
      st[id].sum += x;
      st[id].coeff += y;
      st[id].sum_add += x;
      st[id].coeff_add += y;
      Push(id);
      return;
    }
    Push(id);
    int mid = (l + r) >> 1;
    if (rr <= mid) {
      Add(id * 2, l, mid, ll, rr, x, y);
    } else if (ll > mid) {
      Add(id * 2 + 1, mid + 1, r, ll, rr, x, y);
    } else {
      Add(id * 2, l, mid, ll, rr, x, y);
      Add(id * 2 + 1, mid + 1, r, ll, rr, x, y);
    }
    st[id].sum = st[id * 2].sum + st[id * 2 + 1].sum;
    st[id].coeff = st[id * 2].coeff + st[id * 2 + 1].coeff;
  }
 
  void Set(int id, int l, int r, int ll, int rr, long long x, long long y) {
    if (ll <= l && r <= rr) {
      st[id].sum = x;
      st[id].coeff = y;
      st[id].sum_set = x;
      st[id].coeff_set = y;
      st[id].sum_add = 0;
      st[id].coeff_add = 0;
      Push(id);
      return;
    }
    Push(id);
    int mid = (l + r) >> 1;
    if (rr <= mid) {
      Set(id * 2, l, mid, ll, rr, x, y);
    } else if (ll > mid) {
      Set(id * 2 + 1, mid + 1, r, ll, rr, x, y);
    } else {
      Set(id * 2, l, mid, ll, rr, x, y);
      Set(id * 2 + 1, mid + 1, r, ll, rr, x, y);
    }
    st[id].sum = st[id * 2].sum + st[id * 2 + 1].sum;
    st[id].coeff = st[id * 2].coeff + st[id * 2 + 1].coeff;
  }
 
  long long Query(int id, int l, int r, int p) {
    if (l == r) {
      return st[id].sum + st[id].coeff * p;
    }
    Push(id);
    int mid = (l + r) >> 1;
    long long res;
    if (p <= mid) {
      res = Query(id * 2, l, mid, p);
    } else {
      res = Query(id * 2 + 1, mid + 1, r, p);
    }
    st[id].sum = st[id * 2].sum + st[id * 2 + 1].sum;
    st[id].coeff = st[id * 2].coeff + st[id * 2 + 1].coeff;
    return res;
  }
 
  long long Get(int i) {
    return Query(1, 0, n - 1, i);
  }
} val;
 
struct Solver {
  struct Node {
    int len;
    int mx;
    int mx_l;
    int mx_r;
    long long val_l;
    long long val_r;
    long long lzy_add;
    long long lzy_set;
    Node() {
      lzy_set = inf;
      lzy_add = 0;
    }
  };
 
  Node Merge(Node a, Node b) {
    Node nd;
    nd.len = a.len + b.len;
    nd.mx = max(a.mx, b.mx);
    nd.mx_l = a.mx_l;
    nd.mx_r = b.mx_r;
    if (a.val_r == b.val_l) {
      nd.mx = max(nd.mx, a.mx_r + b.mx_l);
      if (a.mx_l == a.len) {
        nd.mx_l = max(nd.mx_l, a.len + b.mx_l);
      }
      if (b.mx_r == b.len) {
        nd.mx_r = max(nd.mx_r, a.mx_r + b.len);
      }
    }
    nd.val_l = a.val_l;
    nd.val_r = b.val_r;
    return nd;
  }
 
  Node st[8 * MAX];
 
  void Push(int id) {
    if (st[id].lzy_set == inf) {
      st[id * 2].val_l += st[id].lzy_add;
      st[id * 2].val_r += st[id].lzy_add;
      st[id * 2 + 1].val_l += st[id].lzy_add;
      st[id * 2 + 1].val_r += st[id].lzy_add;
      st[id * 2].lzy_add += st[id].lzy_add;
      st[id * 2 + 1].lzy_add += st[id].lzy_add;
      st[id].lzy_add = 0;
    } else {
      st[id * 2].val_l = st[id].lzy_set + st[id].lzy_add;
      st[id * 2].val_r = st[id].lzy_set + st[id].lzy_add;
      st[id * 2 + 1].val_l = st[id].lzy_set + st[id].lzy_add;
      st[id * 2 + 1].val_r = st[id].lzy_set + st[id].lzy_add;
      st[id * 2].lzy_set = st[id].lzy_set;
      st[id * 2].lzy_add = st[id].lzy_add;
      st[id * 2 + 1].lzy_set = st[id].lzy_set;
      st[id * 2 + 1].lzy_add = st[id].lzy_add;
      st[id * 2].mx = st[id * 2].mx_l = st[id * 2].mx_r = st[id * 2].len;
      st[id * 2 + 1].mx = st[id * 2 + 1].mx_l = st[id * 2 + 1].mx_r = st[id * 2 + 1].len;
      st[id].lzy_set = inf;
      st[id].lzy_add = 0;
    }
  }
 
  void Build(int id, int l, int r) {
    if (l == r) {    
      st[id].val_l = st[id].val_r = 0;
      st[id].len = 1;
      st[id].mx = st[id].mx_l = st[id].mx_r = 1;
      return;
    }
    int mid = (l + r) >> 1;
    Build(id * 2, l, mid);
    Build(id * 2 + 1, mid + 1, r);
    st[id] = Merge(st[id * 2], st[id * 2 + 1]);
  }
 
  void Set(int id, int l, int r, int ll, int rr, long long x) {
    if (ll <= l && r <= rr) {
      st[id].mx = st[id].mx_l = st[id].mx_r = st[id].len;
      st[id].val_l = x;
      st[id].val_r = x;
      st[id].lzy_set = x;
      st[id].lzy_add = 0;
      Push(id);
      return;
    }
    Push(id);
    int mid = (l + r) >> 1;
    if (rr <= mid) {
      Set(id * 2, l, mid, ll, rr, x);
    } else if (ll > mid) {
      Set(id * 2 + 1, mid + 1, r, ll, rr, x);
    } else {
      Set(id * 2, l, mid, ll, rr, x);
      Set(id * 2 + 1, mid + 1, r, ll, rr, x);
    }
    st[id] = Merge(st[id * 2], st[id * 2 + 1]);
  }
 
  void Add(int id, int l, int r, int ll, int rr, long long x) {
    if (ll <= l && r <= rr) {
      st[id].val_l += x;
      st[id].val_r += x;
      st[id].lzy_add += x;
      Push(id);
      return;
    }
    Push(id);
    int mid = (l + r) >> 1;
    if (rr <= mid) {
      Add(id * 2, l, mid, ll, rr, x);
    } else if (ll > mid) {
      Add(id * 2 + 1, mid + 1, r, ll, rr, x);
    } else {
      Add(id * 2, l, mid, ll, rr, x);
      Add(id * 2 + 1, mid + 1, r, ll, rr, x);
    }
    st[id] = Merge(st[id * 2], st[id * 2 + 1]);
  }
 
  Node Query(int id, int l, int r, int ll, int rr) {
    if (ll <= l && r <= rr) {
      return st[id];
    }
    Push(id);
    int mid = (l + r) >> 1;
    Node ret;
    if (rr <= mid) {
      ret = Query(id * 2, l, mid, ll, rr);
    } else if (ll > mid) {
      ret = Query(id * 2 + 1, mid + 1, r, ll, rr);
    } else {
      ret = Merge(Query(id * 2, l, mid, ll, rr), Query(id * 2 + 1, mid + 1, r, ll, rr));
    }
    st[id] = Merge(st[id * 2], st[id * 2 + 1]);
    return ret;
  }
} st;
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, q;
  cin >> n >> q;
  for (int i = 0; i < n; i++) {
    int d;
    cin >> d;
    val.Set(1, 0, n - 1, i, i, d, 0);
  }
  val.n = n;
  st.Build(1, 0, n - 1);
  for (int i = 0; i + 1 < n; i++) {
    st.Set(1, 0, n - 1, i, i, val.Get(i) - val.Get(i + 1));
  }
  while (q--) {
    int op;
    cin >> op;
    if (op == 1) {
      int l, r, s, c;
      cin >> l >> r >> s >> c;
      --l; --r;
      val.Add(1, 0, n - 1, l, r, s - c * 1LL * l, c);
      if (l < r) {
        st.Add(1, 0, n - 1, l, r - 1, -c);
      } 
      if (l > 0) {
        st.Set(1, 0, n - 1, l - 1, l - 1, val.Get(l - 1) - val.Get(l));
      } 
      if (r + 1 < n) {
        st.Set(1, 0, n - 1, r, r, val.Get(r) - val.Get(r + 1));
      } 
    }
    if (op == 2) {
      int l, r, s, c;
      cin >> l >> r >> s >> c;
      --l; --r;
      val.Set(1, 0, n - 1, l, r, s - c * 1LL * l, c);
      if (l < r) {
        st.Set(1, 0, n - 1, l, r - 1, -c);
      }
      if (l > 0) {
        st.Set(1, 0, n - 1, l - 1, l - 1, val.Get(l - 1) - val.Get(l));
      } 
      if (r + 1 < n) {
        st.Set(1, 0, n - 1, r, r, val.Get(r) - val.Get(r + 1));
      } 
    }
    if (op == 3) {
      int l, r;
      cin >> l >> r;
      --l; --r;
      if (l == r) {
        cout << 1 << '\n';
      } else {
        cout << st.Query(1, 0, n - 1, l, r - 1).mx + 1 << '\n';
      }
    }
  }
  return 0;
}

• Subtask 1: 9 / 9
• Subtask 2: 15 / 15
• Subtask 3: 35 / 35
• Subtask 4: 11 / 11
• Subtask 5: 13 / 13
• Subtask 6: 17 / 17