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Submission #1043991

# Submission time Handle Problem Language Result Execution time Memory
1043991 2024-08-05T05:52:10 Z juicy Long Distance Coach (JOI17_coach) C++17
100 / 100
 83 ms 16980 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 2e5 + 5;
const long long inf = 1e18;

struct line {
  long long a, b;

  long long eval(long long x) const {
    return a * x + b;
  }

  long long div(long long a, long long b) const { 
    return a / b - ((a ^ b) < 0 && a % b);
  }

  long long insec(const line &o) const {
    return div(o.b - b, a - o.a);
  }
};

int n, m, t, top;
long long x, w;
line hull[N];
long long pf[N], dp[N];
array<long long, 2> s[N], a[N];

void add(line k) {
  if (top > 0 && hull[top].a == k.a) {
    if (hull[top].b <= k.b) {
      return;
    }
    --top;
  }
  while (top > 1 && hull[top - 1].insec(hull[top]) >= hull[top].insec(k)) {
    --top;
  }
  hull[++top] = k;
}

long long qry(long long x) {
  int l = 1, r = top - 1, p = top;
  while (l <= r) {
    int md = (l + r) / 2;
    if (hull[md].insec(hull[md + 1]) >= x) {
      p = md;
      r = md - 1;
    } else {
      l = md + 1;
    }
  }
  return hull[p].eval(x);
}

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> x >> n >> m >> w >> t;
  for (int i = 1; i <= n; ++i) {
    cin >> s[i][1];
    s[i][0] = s[i][1] % t;
  }
  s[++n] = {x % t, x};
  for (int i = 1; i <= m; ++i) {
    cin >> a[i][0] >> a[i][1];
  }
  sort(s + 1, s + n + 1);
  sort(a + 1, a + m + 1);
  for (int i = 1; i <= m; ++i) {
    pf[i] = pf[i - 1] + a[i][1];
  }
  a[m + 1][0] = inf;
  add({0, 0});
  for (int i = 1, j = 0; i <= m; ++i) {
    dp[i] = dp[i - 1] + (x / t + ((x % t) >= a[i][0])) * w;
    long long mn = inf;
    while (j <= n && s[j][0] < a[i][0]) {
      ++j;
    }
    while (j <= n && s[j][0] < a[i + 1][0]) {
      mn = min(mn, s[j][1] / t);
      ++j;
    }
    if (mn != inf) {
      dp[i] = min(dp[i], qry(mn) + pf[i] + i * w * mn);
    }
    add({-i * w, dp[i] - pf[i]});
  }
  cout << dp[m] + (long long) (x / t + 1) * w;
  return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 0 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 0 ms 4556 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 0 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 0 ms 4556 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4816 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 0 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 0 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 0 ms 4556 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4816 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 0 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4572 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4624 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4596 KB Output is correct
44 Correct 2 ms 4620 KB Output is correct
45 Correct 2 ms 4700 KB Output is correct
46 Correct 1 ms 4444 KB Output is correct
47 Correct 1 ms 4444 KB Output is correct
48 Correct 1 ms 4444 KB Output is correct
49 Correct 1 ms 4444 KB Output is correct
50 Correct 1 ms 4444 KB Output is correct
51 Correct 1 ms 4444 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 0 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 0 ms 4556 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4816 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 0 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4572 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4624 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4596 KB Output is correct
44 Correct 2 ms 4620 KB Output is correct
45 Correct 2 ms 4700 KB Output is correct
46 Correct 1 ms 4444 KB Output is correct
47 Correct 1 ms 4444 KB Output is correct
48 Correct 1 ms 4444 KB Output is correct
49 Correct 1 ms 4444 KB Output is correct
50 Correct 1 ms 4444 KB Output is correct
51 Correct 1 ms 4444 KB Output is correct
52 Correct 75 ms 16468 KB Output is correct
53 Correct 58 ms 16468 KB Output is correct
54 Correct 68 ms 15856 KB Output is correct
55 Correct 75 ms 15956 KB Output is correct
56 Correct 70 ms 16212 KB Output is correct
57 Correct 75 ms 16032 KB Output is correct
58 Correct 68 ms 16724 KB Output is correct
59 Correct 66 ms 15956 KB Output is correct
60 Correct 68 ms 15704 KB Output is correct
61 Correct 67 ms 15732 KB Output is correct
62 Correct 66 ms 15956 KB Output is correct
63 Correct 51 ms 16980 KB Output is correct
64 Correct 52 ms 16724 KB Output is correct
65 Correct 69 ms 16568 KB Output is correct
66 Correct 62 ms 16472 KB Output is correct
67 Correct 62 ms 16468 KB Output is correct
68 Correct 63 ms 16492 KB Output is correct
69 Correct 68 ms 16212 KB Output is correct
70 Correct 69 ms 16212 KB Output is correct
71 Correct 72 ms 16364 KB Output is correct
72 Correct 70 ms 16212 KB Output is correct
73 Correct 77 ms 16192 KB Output is correct
74 Correct 70 ms 16212 KB Output is correct
75 Correct 74 ms 16500 KB Output is correct
76 Correct 72 ms 16380 KB Output is correct
77 Correct 65 ms 16212 KB Output is correct
78 Correct 68 ms 16308 KB Output is correct
79 Correct 83 ms 15952 KB Output is correct
80 Correct 68 ms 15956 KB Output is correct