oj.uz

Submission #217935

# Submission time Handle Problem Language Result Execution time Memory
217935 2020-03-31T08:39:02 Z extraterrestrial Long Distance Coach (JOI17_coach) C++14
100 / 100
 961 ms 46172 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 < 1; j++) {
          if (it2 == good.begin()) {
            break;
          }
          it2--;
          have.pb(*it2);
        }
        it2 = it;
        for (int j = 0; j < 1; 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 5 ms 384 KB Output is correct
4 Correct 4 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 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 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 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 360 KB Output is correct
19 Correct 5 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 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 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 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 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 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 360 KB Output is correct
19 Correct 5 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 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 512 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 5 ms 384 KB Output is correct
4 Correct 4 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 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 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 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 360 KB Output is correct
19 Correct 5 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 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 512 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 9 ms 768 KB Output is correct
39 Correct 11 ms 768 KB Output is correct
40 Correct 7 ms 768 KB Output is correct
41 Correct 8 ms 896 KB Output is correct
42 Correct 8 ms 896 KB Output is correct
43 Correct 7 ms 768 KB Output is correct
44 Correct 7 ms 768 KB Output is correct
45 Correct 7 ms 768 KB Output is correct
46 Correct 11 ms 768 KB Output is correct
47 Correct 11 ms 768 KB Output is correct
48 Correct 9 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 5 ms 384 KB Output is correct
4 Correct 4 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 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 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 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 360 KB Output is correct
19 Correct 5 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 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 512 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 9 ms 768 KB Output is correct
39 Correct 11 ms 768 KB Output is correct
40 Correct 7 ms 768 KB Output is correct
41 Correct 8 ms 896 KB Output is correct
42 Correct 8 ms 896 KB Output is correct
43 Correct 7 ms 768 KB Output is correct
44 Correct 7 ms 768 KB Output is correct
45 Correct 7 ms 768 KB Output is correct
46 Correct 11 ms 768 KB Output is correct
47 Correct 11 ms 768 KB Output is correct
48 Correct 9 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 391 ms 32868 KB Output is correct
53 Correct 436 ms 32868 KB Output is correct
54 Correct 380 ms 36452 KB Output is correct
55 Correct 428 ms 36836 KB Output is correct
56 Correct 476 ms 39140 KB Output is correct
57 Correct 327 ms 32228 KB Output is correct
58 Correct 407 ms 41700 KB Output is correct
59 Correct 460 ms 36964 KB Output is correct
60 Correct 427 ms 35556 KB Output is correct
61 Correct 451 ms 36964 KB Output is correct
62 Correct 367 ms 35300 KB Output is correct
63 Correct 366 ms 35804 KB Output is correct
64 Correct 182 ms 46172 KB Output is correct
65 Correct 961 ms 32612 KB Output is correct
66 Correct 920 ms 41444 KB Output is correct
67 Correct 752 ms 32360 KB Output is correct
68 Correct 574 ms 32356 KB Output is correct
69 Correct 390 ms 32204 KB Output is correct
70 Correct 406 ms 32356 KB Output is correct
71 Correct 416 ms 32216 KB Output is correct
72 Correct 507 ms 32228 KB Output is correct
73 Correct 554 ms 32224 KB Output is correct
74 Correct 625 ms 33380 KB Output is correct
75 Correct 642 ms 38420 KB Output is correct
76 Correct 660 ms 41572 KB Output is correct
77 Correct 335 ms 35684 KB Output is correct
78 Correct 541 ms 40420 KB Output is correct
79 Correct 381 ms 32356 KB Output is correct
80 Correct 372 ms 32356 KB Output is correct