oj.uz

Submission #209356

# Submission time Handle Problem Language Result Execution time Memory
209356 2020-03-14T00:48:25 Z eriksuenderhauf Fire (JOI20_ho_t5) C++11
100 / 100
 919 ms 74096 KB 
#include <bits/stdc++.h>
#define pb push_back
#define sz(x) (int)(x).size()
#define trav(x, a) for (const auto& x: a)
#define all(x) (x).begin(), (x).end()
#define pii pair<int,int>
#define st first
#define nd second
using namespace std;
typedef long long ll;
const int N = 2e5 + 5;
const int inf = 1e9 + 7;
int nxL[N], nxH[N];
array<int,3> arr[N];
vector<array<int,3>> upd[N];
ll ans[N];

struct segment_tree {
  struct data {
    ll s=0, l=1;
    data() {}
    data(ll s, ll l) : s(s), l(l) {}
  };
  typedef ll operation;
  static data combine(data dl, data dr) {
    return {dl.s + dr.s, dl.l + dr.l};
  }
  static data calculate(operation o, data d) {
    return {o * d.l + d.s, d.l};
  }
  static operation merge(operation ot, operation ob) {
    return ot + ob;
  }
  int n, h;
  vector<data> t;
  vector<operation> o;
  segment_tree(int n = 0) : n(n), h(32 - __builtin_clz(n)), t(2 * n), o(n) {
    for (int i = 0; i < n; i++)
      t[i + n] = {0, 1};
    for (int x = n - 1; x > 0; x--)
      t[x] = combine(t[x << 1], t[x << 1 | 1]);
  }
  segment_tree(vector<data> & a) : segment_tree(a.size()) {
    for (int i = 0; i < n; i++)
      t[i + n] = a[i];
    for (int x = n - 1; x > 0; x--)
      t[x] = combine(t[x << 1], t[x << 1 | 1]);
  }
  void apply(int x, operation op) {
    t[x] = calculate(op, t[x]);
    if (x < n)
      o[x] = merge(op, o[x]);
  }
  void push(int x) {
    for (int s = h; s > 0; s--) {
      int c = x >> s;
      apply(c << 1, o[c]);
      apply(c << 1 | 1, o[c]);
      o[c] = operation();
    }
  }
  void build(int x) {
    while (x >>= 1)
      t[x] = calculate(o[x], combine(t[x << 1], t[x << 1 | 1]));
  }
  // set the data at the position i
  void setValue(int i, data d) {
    i += n;
    push(i);
    t[i] = d;
    build(i);
  }
  // query the data on the range [l, r[
  ll query(int l, int r) {
    l += n; r += n;
    push(l); push(r - 1);
    data dl, dr;
    for (; l < r; l >>= 1, r >>= 1) {
      if (l & 1)
        dl = combine(dl, t[l++]);
      if (r & 1)
        dr = combine(t[--r], dr);
    }
    return combine(dl, dr).s;
  }
  // apply an operation on the range [l, r[
  void apply(int l, int r, operation op) {
    l += n; r += n;
    push(l); push(r - 1);
    int xl = l, xr = r;
    for (; l < r; l >>= 1, r >>= 1) {
      if (l & 1)
        apply(l++, op);
      if (r & 1)
        apply(--r, op);
    }
    build(xl); build(xr - 1);
  }
};

#define log2(x) (31 - __builtin_clz(x))

struct sparse_table {
  int n;
  vector<segment_tree::data> a;
  vector<vector<int>> st;
  int combine(int dl, int dr) {
    return a[dl].s > a[dr].s ? dl : dr;
  }
  sparse_table() {}
  sparse_table(vector<segment_tree::data> & a) : n(a.size()), a(a), st(log2(n) + 1, vector<int>(n)) {
    for (int i = 0; i < n; i++)
      st[0][i] = i;
    for (int j = 1; 1 << j <= n; j++)
      for (int i = 0; i + (1 << j) <= n; i++)
        st[j][i] = combine(st[j - 1][i], st[j - 1][i + (1 << (j - 1))]);
  }
  // query the data on the range [l, r[
  int query(int l, int r) {
    int s = log2(r - l);
    return combine(st[s][l], st[s][r - (1 << s)]);
  }
};

int main() {
  int n, q; scanf("%d %d", &n, &q);
  int n2 = n+2;
  while (n2 & (n2-1)) n2++;
  vector<segment_tree::data> s(n2);
  s[0] = s[n+1] = {inf, 1};
  for (int i = 1; i <= n; i++) {
    scanf("%lld", &s[i].s);
    s[i].l = 1;
  }
  stack<int> st; st.push(n+1);
  for (int i = n; i; i--) {
    while (!st.empty() && s[st.top()].s < s[i].s)
      st.pop();
    nxH[i] = st.top();
    st.push(i);
  }
  while (!st.empty()) st.pop();
  st.push(0);
  for (int i = 1; i <= n; i++) {
    while (!st.empty() && s[st.top()].s < s[i].s)
      st.pop();
    nxL[i] = st.top();
    st.push(i);
  }
  sparse_table sp(s);
  segment_tree f(n2);
  for (int i = 1; i <= n; i++) {
    if (i+1 <= nxH[i]-1) {
      int v = s[i].s - s[sp.query(i+1, nxH[i])].s;
      f.apply(i, n+1, v);
      upd[nxH[i]-i].pb({i+1, nxH[i]-1, v});
    }
    if (nxL[i]+1 <= i-1 && nxL[i] != 0 && s[nxL[i]].s != s[i].s) {
      int v = s[i].s - s[sp.query(nxL[i]+1, i)].s;
      f.apply(nxL[i], n+1, v);
      upd[i-nxL[i]].pb({nxL[i]+1, i-1, v});
    }
  }
  segment_tree seg(s);
  for (int i = 0; i < q; i++) {
    for (int j = 0; j < 3; j++)
      scanf("%d", &arr[i][j]);
    upd[arr[i][0]].pb({-i, arr[i][1], arr[i][2]});
  }
  for (int i = 1; i <= n; i++) {
    trav(j, upd[i]) {
      if (j[0] > 0) {
        seg.apply(j[0], j[1]+1, j[2]);
        f.apply(j[0]-1, n+1, -j[2]);
      }
    }
    trav(j, upd[i]) {
      if (j[0] <= 0) {
        ans[-j[0]] = seg.query(j[1], j[2]+1);
        ans[-j[0]] += f.query(max(0,j[2]-i), j[2]-1+1) - f.query(max(0,j[1]-i-1), max(0,j[1]-2)+1);
      }
    }
  }
  for (int i = 0; i < q; i++)
    printf("%lld\n", ans[i]);
}

Compilation message

ho_t5.cpp: In function 'int main()':
ho_t5.cpp:126:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   int n, q; scanf("%d %d", &n, &q);
             ~~~~~^~~~~~~~~~~~~~~~~
ho_t5.cpp:132:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld", &s[i].s);
     ~~~~~^~~~~~~~~~~~~~~~~
ho_t5.cpp:167:12: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
       scanf("%d", &arr[i][j]);
       ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4984 KB Output is correct
2 Correct 8 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 5112 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 7 ms 5112 KB Output is correct
13 Correct 8 ms 5112 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 8 ms 5112 KB Output is correct
17 Correct 7 ms 5112 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 5112 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5116 KB Output is correct
23 Correct 8 ms 5112 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct
25 Correct 8 ms 5112 KB Output is correct
26 Correct 8 ms 5112 KB Output is correct
27 Correct 7 ms 5112 KB Output is correct
28 Correct 8 ms 5112 KB Output is correct
29 Correct 8 ms 5112 KB Output is correct
30 Correct 8 ms 5112 KB Output is correct
31 Correct 8 ms 5112 KB Output is correct
32 Correct 8 ms 5112 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4984 KB Output is correct
2 Correct 817 ms 68056 KB Output is correct
3 Correct 853 ms 69364 KB Output is correct
4 Correct 780 ms 68208 KB Output is correct
5 Correct 777 ms 68976 KB Output is correct
6 Correct 739 ms 69232 KB Output is correct
7 Correct 798 ms 70512 KB Output is correct
8 Correct 765 ms 73072 KB Output is correct
9 Correct 846 ms 74096 KB Output is correct
10 Correct 807 ms 72304 KB Output is correct
11 Correct 825 ms 71028 KB Output is correct
12 Correct 805 ms 69232 KB Output is correct
13 Correct 753 ms 68592 KB Output is correct
14 Correct 795 ms 68464 KB Output is correct
15 Correct 770 ms 68464 KB Output is correct
16 Correct 747 ms 68208 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4984 KB Output is correct
2 Correct 838 ms 67904 KB Output is correct
3 Correct 797 ms 67572 KB Output is correct
4 Correct 827 ms 68344 KB Output is correct
5 Correct 796 ms 67572 KB Output is correct
6 Correct 814 ms 67700 KB Output is correct
7 Correct 802 ms 67676 KB Output is correct
8 Correct 814 ms 67828 KB Output is correct
9 Correct 805 ms 67700 KB Output is correct
10 Correct 773 ms 67572 KB Output is correct
11 Correct 821 ms 68212 KB Output is correct
12 Correct 802 ms 67956 KB Output is correct
13 Correct 841 ms 67956 KB Output is correct
14 Correct 818 ms 67808 KB Output is correct
15 Correct 817 ms 67828 KB Output is correct
16 Correct 820 ms 67572 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 711 ms 65216 KB Output is correct
2 Correct 688 ms 65100 KB Output is correct
3 Correct 710 ms 65476 KB Output is correct
4 Correct 686 ms 65496 KB Output is correct
5 Correct 706 ms 65364 KB Output is correct
6 Correct 669 ms 65100 KB Output is correct
7 Correct 689 ms 65220 KB Output is correct
8 Correct 690 ms 65352 KB Output is correct
9 Correct 695 ms 65364 KB Output is correct
10 Correct 706 ms 65224 KB Output is correct
11 Correct 729 ms 65456 KB Output is correct
12 Correct 735 ms 65484 KB Output is correct
13 Correct 700 ms 65356 KB Output is correct
14 Correct 701 ms 65396 KB Output is correct

Subtask #5
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4984 KB Output is correct
2 Correct 8 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 5112 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 7 ms 5112 KB Output is correct
13 Correct 8 ms 5112 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 8 ms 5112 KB Output is correct
17 Correct 7 ms 5112 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 5112 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5116 KB Output is correct
23 Correct 8 ms 5112 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct
25 Correct 8 ms 5112 KB Output is correct
26 Correct 8 ms 5112 KB Output is correct
27 Correct 7 ms 5112 KB Output is correct
28 Correct 8 ms 5112 KB Output is correct
29 Correct 8 ms 5112 KB Output is correct
30 Correct 8 ms 5112 KB Output is correct
31 Correct 8 ms 5112 KB Output is correct
32 Correct 8 ms 5112 KB Output is correct
33 Correct 899 ms 68664 KB Output is correct
34 Correct 894 ms 68980 KB Output is correct
35 Correct 880 ms 68716 KB Output is correct
36 Correct 881 ms 68692 KB Output is correct
37 Correct 872 ms 68596 KB Output is correct
38 Correct 869 ms 68724 KB Output is correct
39 Correct 865 ms 68468 KB Output is correct
40 Correct 889 ms 68724 KB Output is correct
41 Correct 856 ms 68852 KB Output is correct
42 Correct 860 ms 68852 KB Output is correct
43 Correct 906 ms 68468 KB Output is correct
44 Correct 919 ms 68596 KB Output is correct
45 Correct 886 ms 68152 KB Output is correct
46 Correct 883 ms 68468 KB Output is correct
47 Correct 877 ms 67968 KB Output is correct
48 Correct 880 ms 67956 KB Output is correct
49 Correct 888 ms 68084 KB Output is correct
50 Correct 917 ms 68724 KB Output is correct
51 Correct 903 ms 68852 KB Output is correct
52 Correct 891 ms 68340 KB Output is correct
53 Correct 896 ms 68340 KB Output is correct
54 Correct 779 ms 68040 KB Output is correct
55 Correct 773 ms 67960 KB Output is correct
56 Correct 787 ms 68212 KB Output is correct
57 Correct 797 ms 68084 KB Output is correct
58 Correct 787 ms 68724 KB Output is correct
59 Correct 817 ms 68056 KB Output is correct
60 Correct 853 ms 69364 KB Output is correct
61 Correct 780 ms 68208 KB Output is correct
62 Correct 777 ms 68976 KB Output is correct
63 Correct 739 ms 69232 KB Output is correct
64 Correct 798 ms 70512 KB Output is correct
65 Correct 765 ms 73072 KB Output is correct
66 Correct 846 ms 74096 KB Output is correct
67 Correct 807 ms 72304 KB Output is correct
68 Correct 825 ms 71028 KB Output is correct
69 Correct 805 ms 69232 KB Output is correct
70 Correct 753 ms 68592 KB Output is correct
71 Correct 795 ms 68464 KB Output is correct
72 Correct 770 ms 68464 KB Output is correct
73 Correct 747 ms 68208 KB Output is correct
74 Correct 838 ms 67904 KB Output is correct
75 Correct 797 ms 67572 KB Output is correct
76 Correct 827 ms 68344 KB Output is correct
77 Correct 796 ms 67572 KB Output is correct
78 Correct 814 ms 67700 KB Output is correct
79 Correct 802 ms 67676 KB Output is correct
80 Correct 814 ms 67828 KB Output is correct
81 Correct 805 ms 67700 KB Output is correct
82 Correct 773 ms 67572 KB Output is correct
83 Correct 821 ms 68212 KB Output is correct
84 Correct 802 ms 67956 KB Output is correct
85 Correct 841 ms 67956 KB Output is correct
86 Correct 818 ms 67808 KB Output is correct
87 Correct 817 ms 67828 KB Output is correct
88 Correct 820 ms 67572 KB Output is correct
89 Correct 711 ms 65216 KB Output is correct
90 Correct 688 ms 65100 KB Output is correct
91 Correct 710 ms 65476 KB Output is correct
92 Correct 686 ms 65496 KB Output is correct
93 Correct 706 ms 65364 KB Output is correct
94 Correct 669 ms 65100 KB Output is correct
95 Correct 689 ms 65220 KB Output is correct
96 Correct 690 ms 65352 KB Output is correct
97 Correct 695 ms 65364 KB Output is correct
98 Correct 706 ms 65224 KB Output is correct
99 Correct 729 ms 65456 KB Output is correct
100 Correct 735 ms 65484 KB Output is correct
101 Correct 700 ms 65356 KB Output is correct
102 Correct 701 ms 65396 KB Output is correct