oj.uz

Submission #217899

# Submission time Handle Problem Language Result Execution time Memory
217899 2020-03-31T08:01:48 Z extraterrestrial Long Distance Coach (JOI17_coach) C++14
71 / 100
 2000 ms 33116 KB 
#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
using namespace std;
#define F first
#define S second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define SZ(x) (int)(x).size()
#define int ll

const int N = 2e5 + 10;
const ll BINF = 1e18 + 10;
int can[N], dp[N], f[N], cost[N];

int t[4 * N], ps[4 * N];

void build(int v, int l, int r) {
  t[v] = BINF;
  ps[v] = -1;
  if (l == r) {
    return;
  }
  int mid = (l + r) / 2;
  build(2 * v, l, mid);
  build(2 * v + 1, mid + 1, r);
}

void push(int v, int len1, int len2) {
  if (ps[v] != -1) {
    ps[2 * v] = ps[2 * v + 1] = ps[v];
    t[2 * v] = ps[v] * len1;
    t[2 * v + 1] = ps[v] * len2;
    ps[v] = -1;
    return;
  }
}

void update(int v, int l, int r, int a, int b, int val) {
  if (l > b || r < a) {
    return;
  }
  if (l >= a && r <= b) {
    t[v] = val * (r - l + 1);
    ps[v] = val;
    return;
  }
  int mid = (l + r) / 2;
  push(v, mid - l + 1, r - mid);
  update(2 * v, l, mid, a, b, val);
  update(2 * v + 1, mid + 1, r, a, b, val);
  t[v] = t[2 * v] + t[2 * v + 1];
}

int get_sum(int v, int l, int r, int a, int b) {
  if (l > b || r < a) {
    return 0;
  }
  if (l >= a && r <= b) {
    return t[v];
  }
  int mid = (l + r) / 2;
  push(v, mid - l + 1, r - mid);
  return get_sum(2 * v, l, mid, a, b) + get_sum(2 * v + 1, mid + 1, r, a, b);
}

pair<int, int> t2[4 * N];

void build2(int v, int l, int r) {
  if (l == r) {
    t2[v] = {-1, l};
    return;
  }
  int mid = (l + r) / 2;
  build2(2 * v, l, mid);
  build2(2 * v + 1, mid + 1, r);
  t2[v] = max(t2[2 * v], t2[2 * v + 1]);
}

void update2(int v, int l, int r, int pos, int val) {
  if (l == r) {
    t2[v] = {val, pos};
    return;
  }
  int mid = (l + r) / 2;
  if (pos <= mid) {
    update2(2 * v, l, mid, pos, val);
  }
  else {
    update2(2 * v + 1, mid + 1, r, pos, val);
  }
  t2[v] = max(t2[2 * v], t2[2 * v + 1]);
}

pair<int, int> get_max(int v, int l, int r, int a, int b) {
  if (l > b || r < a) {
    return {-1, 0};
  }
  if (l >= a && r <= b) {
    return t2[v];
  }
  int mid = (l + r) / 2;
  return max(get_max(2 * v, l, mid, a, b), get_max(2 * v + 1, mid + 1, r, a, b));
}

int pref[N], prv[N];

inline int get_sum(int l, int r) {
  return pref[r] - pref[l - 1];
}

set<int> good;
int w, x, n, m;
inline bool check(int x) {
  auto it = ++good.lower_bound(x);
  if (it == good.end()) {
    update2(1, 1, m, x, -1);
    return false;
  }
  if (dp[x] + get_sum(x + 1, *it) + w * get_sum(1, 1, m, x + 1, *it) <= dp[*it]) {
    good.erase(it);
    check(x);
    return true;
  }
  else {
    if (dp[*it] - dp[x] - get_sum(x + 1, *it) < 0) {
      update2(1, 1, m, x, -1);
    }
    else {
      update2(1, 1, m, x, (dp[*it] - dp[x] - get_sum(x + 1, *it)) / (w * (*it - x)));  
    }
    return false;
  }
}

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int t;
  cin >> x >> n >> m >> w >> t;
  vector<int> s(n);
  for (auto  &it : s) {
    cin >> it;
  }  
  sort(all(s));
  vector<pair<int, int>> srt;
  for (int i = 1; i <= m; i++) {
    cin >> f[i] >> cost[i];
    srt.pb({f[i], i});
  }
  sort(all(srt));
  for (int i = 0; i <= m; i++) {
    can[i] = BINF;
  }
  for (auto it : s) {
    int ps = lower_bound(all(srt), make_pair(it % t, 0ll)) - srt.begin();
    if (ps + 1 <= m) {
      can[ps + 1] = min(can[ps + 1], it / t);
    }
    else {
      can[0] = min(can[0], it / t);
    }
  }
  int ps = lower_bound(all(srt), make_pair(x % t, 0ll)) - srt.begin();
  if (ps + 1 <= m) {
    can[ps + 1] = min(can[ps + 1], x / t);
  }
  else {
    can[0] = min(can[0], x / t);
  }
  for (int i = 1; i <= m; i++) {
    pref[i] = pref[i - 1] + cost[srt[i - 1].S];
  }
  vector<pair<int, int>> st;
  for (int i = 1; i <= m; i++) {
    while (!st.empty() && st.back().F > can[i]) {
      st.pop_back();
    }
    if (!st.empty()) {
      prv[i] = st.back().S;
    }
    else {
      prv[i] = 1;
    }
    st.pb({can[i], i});
  }
  dp[0] = w * (x / t + 1);
  good.insert(0);
  build(1, 1, m);
  build2(1, 1, m);
  for (int i = 1; i <= m; i++) {
    int cnt = x / t;
    if (f[srt[i - 1].S] < x % t) {
      cnt++;
    }
    dp[i] = dp[i - 1] + w * cnt;
    if (can[i] < BINF) {
      update(1, 1, m, prv[i], i - 1, can[i]);
      /*for (;;) {
        pair<int, int> kek = get_max(1, 1, m, prv[i] - 1, i - 1);
        if (kek.F < can[i]) {
          break;
        }
        check(kek.S);
      }
      auto it = good.lower_bound(prv[i] - 1);
      if (it != good.begin()) {
        check(*(--it));
      }*/
      /*vector<int> have;
      for (auto it : good) {
        have.pb(it);
      }
      for (auto it : have) {
        if (good.find(it) != good.end()) {
          check(it);
        }
      }*/
      for (int lst : good) {
        dp[i] = min(dp[i], dp[lst] + w * cnt + get_sum(lst + 1, i - 1) + w * get_sum(1, 1, m, lst + 1, i - 1));
      }
    }
    good.insert(i);
    /*if (SZ(good) > 1) {
      check(*(----good.end()));
    }*/
  }
  int ans = dp[m];
  if (can[0] < BINF) {
    int sum = 0, cl = can[0];
    for (int lst = m - 1; lst >= 0; lst--) {
      sum += w * cl + cost[srt[lst].S];
      cl = min(cl, can[lst + 1]);
      ans = min(ans, sum + dp[lst]);
    }
  }
  cout << ans << '\n';
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 640 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 6 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 6 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 640 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 6 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 6 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct
38 Correct 174 ms 768 KB Output is correct
39 Correct 346 ms 768 KB Output is correct
40 Correct 346 ms 768 KB Output is correct
41 Correct 176 ms 768 KB Output is correct
42 Correct 171 ms 888 KB Output is correct
43 Correct 159 ms 768 KB Output is correct
44 Correct 182 ms 888 KB Output is correct
45 Correct 175 ms 1032 KB Output is correct
46 Correct 343 ms 888 KB Output is correct
47 Correct 351 ms 888 KB Output is correct
48 Correct 186 ms 888 KB Output is correct
49 Correct 170 ms 768 KB Output is correct
50 Correct 184 ms 768 KB Output is correct
51 Correct 179 ms 932 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 640 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 5 ms 384 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 6 ms 384 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 6 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 384 KB Output is correct
37 Correct 5 ms 384 KB Output is correct
38 Correct 174 ms 768 KB Output is correct
39 Correct 346 ms 768 KB Output is correct
40 Correct 346 ms 768 KB Output is correct
41 Correct 176 ms 768 KB Output is correct
42 Correct 171 ms 888 KB Output is correct
43 Correct 159 ms 768 KB Output is correct
44 Correct 182 ms 888 KB Output is correct
45 Correct 175 ms 1032 KB Output is correct
46 Correct 343 ms 888 KB Output is correct
47 Correct 351 ms 888 KB Output is correct
48 Correct 186 ms 888 KB Output is correct
49 Correct 170 ms 768 KB Output is correct
50 Correct 184 ms 768 KB Output is correct
51 Correct 179 ms 932 KB Output is correct
52 Execution timed out 2054 ms 33116 KB Time limit exceeded
53 Halted 0 ms 0 KB -