oj.uz

Submission #217934

# Submission time Handle Problem Language Result Execution time Memory
217934 2020-03-31T08:38:14 Z extraterrestrial Long Distance Coach (JOI17_coach) C++14
100 / 100
 1188 ms 50780 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()) {
        it--;
        vector<int> have = {*it};
        auto it2 = it;
        for (int j = 0; j < 2; j++) {
          if (it2 == good.begin()) {
            break;
          }
          it2--;
          have.pb(*it2);
        }
        it2 = it;
        for (int j = 0; j < 2; j++) {
          it2++;
          if (it2 == good.end()) {
            break;
          }
          have.pb(*it2);
        } 
        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 5 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 5 ms 432 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 6 ms 384 KB Output is correct
15 Correct 5 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 5 ms 384 KB Output is correct
20 Correct 6 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 6 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 5 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 5 ms 432 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 6 ms 384 KB Output is correct
15 Correct 5 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 5 ms 384 KB Output is correct
20 Correct 6 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 5 ms 384 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 5 ms 512 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 5 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 5 ms 432 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 6 ms 384 KB Output is correct
15 Correct 5 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 5 ms 384 KB Output is correct
20 Correct 6 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 5 ms 384 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 5 ms 512 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 768 KB Output is correct
39 Correct 12 ms 768 KB Output is correct
40 Correct 10 ms 768 KB Output is correct
41 Correct 8 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 7 ms 768 KB Output is correct
45 Correct 8 ms 768 KB Output is correct
46 Correct 9 ms 768 KB Output is correct
47 Correct 12 ms 768 KB Output is correct
48 Correct 9 ms 768 KB Output is correct
49 Correct 10 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 10 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 5 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 5 ms 432 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 6 ms 384 KB Output is correct
15 Correct 5 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 5 ms 384 KB Output is correct
20 Correct 6 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 5 ms 384 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 5 ms 512 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 768 KB Output is correct
39 Correct 12 ms 768 KB Output is correct
40 Correct 10 ms 768 KB Output is correct
41 Correct 8 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 7 ms 768 KB Output is correct
45 Correct 8 ms 768 KB Output is correct
46 Correct 9 ms 768 KB Output is correct
47 Correct 12 ms 768 KB Output is correct
48 Correct 9 ms 768 KB Output is correct
49 Correct 10 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 10 ms 768 KB Output is correct
52 Correct 406 ms 36696 KB Output is correct
53 Correct 486 ms 36836 KB Output is correct
54 Correct 401 ms 39140 KB Output is correct
55 Correct 511 ms 40652 KB Output is correct
56 Correct 544 ms 43364 KB Output is correct
57 Correct 341 ms 36100 KB Output is correct
58 Correct 464 ms 46312 KB Output is correct
59 Correct 512 ms 40676 KB Output is correct
60 Correct 441 ms 39140 KB Output is correct
61 Correct 462 ms 40676 KB Output is correct
62 Correct 382 ms 39140 KB Output is correct
63 Correct 406 ms 38492 KB Output is correct
64 Correct 196 ms 50780 KB Output is correct
65 Correct 1188 ms 37348 KB Output is correct
66 Correct 1062 ms 46180 KB Output is correct
67 Correct 853 ms 36836 KB Output is correct
68 Correct 635 ms 36816 KB Output is correct
69 Correct 426 ms 36456 KB Output is correct
70 Correct 403 ms 36448 KB Output is correct
71 Correct 420 ms 36728 KB Output is correct
72 Correct 556 ms 36580 KB Output is correct
73 Correct 586 ms 36456 KB Output is correct
74 Correct 697 ms 37732 KB Output is correct
75 Correct 765 ms 43108 KB Output is correct
76 Correct 742 ms 46052 KB Output is correct
77 Correct 370 ms 39908 KB Output is correct
78 Correct 632 ms 45028 KB Output is correct
79 Correct 404 ms 36068 KB Output is correct
80 Correct 400 ms 36200 KB Output is correct