oj.uz

Submission #217926

# Submission time Handle Problem Language Result Execution time Memory
217926 2020-03-31T08:28:58 Z extraterrestrial Long Distance Coach (JOI17_coach) C++14
100 / 100
 924 ms 45404 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] = min(BINF, 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 min(BINF, 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 (get_sum(1, 1, m, x + 1, *it) < BINF && dp[x] + get_sum(x + 1, *it) + w * get_sum(1, 1, m, x + 1, *it) <= dp[*it]) {
    update2(1, 1, m, *it, -1);
    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);
  vector<int> need;
  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 (auto it : need) {
        if (good.find(it) != good.end()) {
          check(it);
        }
      }
      need = {};
      for (;;) {
        pair<int, int> kek = get_max(1, 1, m, prv[i] - 1, i - 1);
        if (kek.F < can[i]) {
          break;
        }
        assert(good.find(kek.S) != good.end());
        assert(check(kek.S));
      }
      auto it = good.lower_bound(prv[i] - 1);
      if (it != good.begin()) {
        check(*(--it));
      }
      if (SZ(good) <= 10) {
        vector<int> have;
        for (auto it : good) {
          have.pb(it);
        }
        for (auto it : have) {
          if (good.find(it) != good.end()) {
            check(it);
          }
        }
      }
      int lst = *good.rbegin();
      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) {
      need.pb(*(----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 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 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 4 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 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 436 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 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 4 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 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 436 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 5 ms 432 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 5 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 5 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 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 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 4 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 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 436 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 5 ms 432 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 5 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 5 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 10 ms 640 KB Output is correct
39 Correct 12 ms 640 KB Output is correct
40 Correct 8 ms 768 KB Output is correct
41 Correct 7 ms 768 KB Output is correct
42 Correct 8 ms 768 KB Output is correct
43 Correct 8 ms 768 KB Output is correct
44 Correct 8 ms 768 KB Output is correct
45 Correct 8 ms 768 KB Output is correct
46 Correct 7 ms 768 KB Output is correct
47 Correct 9 ms 768 KB Output is correct
48 Correct 8 ms 768 KB Output is correct
49 Correct 7 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 7 ms 768 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 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 4 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 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 436 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 5 ms 432 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 5 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 5 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 10 ms 640 KB Output is correct
39 Correct 12 ms 640 KB Output is correct
40 Correct 8 ms 768 KB Output is correct
41 Correct 7 ms 768 KB Output is correct
42 Correct 8 ms 768 KB Output is correct
43 Correct 8 ms 768 KB Output is correct
44 Correct 8 ms 768 KB Output is correct
45 Correct 8 ms 768 KB Output is correct
46 Correct 7 ms 768 KB Output is correct
47 Correct 9 ms 768 KB Output is correct
48 Correct 8 ms 768 KB Output is correct
49 Correct 7 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 7 ms 768 KB Output is correct
52 Correct 409 ms 31588 KB Output is correct
53 Correct 485 ms 31460 KB Output is correct
54 Correct 419 ms 34816 KB Output is correct
55 Correct 419 ms 36068 KB Output is correct
56 Correct 455 ms 38628 KB Output is correct
57 Correct 360 ms 31588 KB Output is correct
58 Correct 382 ms 40944 KB Output is correct
59 Correct 417 ms 35940 KB Output is correct
60 Correct 460 ms 34832 KB Output is correct
61 Correct 415 ms 35944 KB Output is correct
62 Correct 373 ms 34404 KB Output is correct
63 Correct 430 ms 34524 KB Output is correct
64 Correct 174 ms 45404 KB Output is correct
65 Correct 743 ms 31844 KB Output is correct
66 Correct 584 ms 40676 KB Output is correct
67 Correct 924 ms 31332 KB Output is correct
68 Correct 689 ms 31416 KB Output is correct
69 Correct 459 ms 31488 KB Output is correct
70 Correct 438 ms 31332 KB Output is correct
71 Correct 472 ms 31460 KB Output is correct
72 Correct 685 ms 31684 KB Output is correct
73 Correct 493 ms 31692 KB Output is correct
74 Correct 535 ms 32796 KB Output is correct
75 Correct 548 ms 37704 KB Output is correct
76 Correct 525 ms 40676 KB Output is correct
77 Correct 430 ms 34912 KB Output is correct
78 Correct 475 ms 39524 KB Output is correct
79 Correct 439 ms 31428 KB Output is correct
80 Correct 436 ms 31384 KB Output is correct