oj.uz

Submission #958025

# Submission time Handle Problem Language Result Execution time Memory
958025 2024-04-04T16:56:59 Z Soumya1 Long Distance Coach (JOI17_coach) C++17
100 / 100
 128 ms 27184 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll inf = 1e18;
struct Line {
  mutable ll k, m, p;
  bool operator<(const Line& o) const { return k < o.k; }
  bool operator<(ll x) const { return p < x; }
};

struct LineContainer : multiset<Line, less<>> {
  // (for doubles, use inf = 1/.0, div(a,b) = a/b)
  static const ll inf = LLONG_MAX;
  ll div(ll a, ll b) { // floored division
    return a / b - ((a ^ b) < 0 && a % b); }
  bool isect(iterator x, iterator y) {
    if (y == end()) return x->p = inf, 0;
    if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
    else x->p = div(y->m - x->m, x->k - y->k);
    return x->p >= y->p;
  }
  void add(ll k, ll m) {
    auto z = insert({k, m, 0}), y = z++, x = y;
    while (isect(y, z)) z = erase(z);
    if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
    while ((y = x) != begin() && (--x)->p >= y->p)
      isect(x, erase(y));
  }
  ll query(ll x) {
    assert(!empty());
    auto l = *lower_bound(x);
    return l.k * x + l.m;
  }
};
void testCase() {
  ll n, x, m, w, t;
  cin >> x >> n >> m >> w >> t;
  vector<ll> s(n + 2);
  for (int i = 1; i <= n; i++) cin >> s[i];
  s[n + 1] = x;
  vector<ll> c(m + 1), d(m + 1);
  for (int i = 1; i <= m; i++) cin >> d[i] >> c[i];
  vector<int> ord(m + 1);
  iota(ord.begin(), ord.end(), 0);
  sort(ord.begin(), ord.end(), [&](int i, int j) { return d[i] < d[j]; });
  {
    auto cc = c, dd = d;
    for (int i = 0; i <= m; i++) {
      cc[i] = c[ord[i]];
      dd[i] = d[ord[i]];
    }
    c = cc, d = dd;
  }
  vector<ll> mn(m + 1, inf);
  for (int i = 1; i <= n + 1; i++) {
    ll x = s[i] % t;
    if (!x) continue;
    int j = lower_bound(d.begin(), d.end(), x) - d.begin() - 1;
    mn[j] = min(mn[j], s[i] / t);
  }
  LineContainer lc;
  vector<ll> sum(m + 1);
  for (int i = 1; i <= m; i++) sum[i] = sum[i - 1] + c[i];
  vector<ll> dp(m + 1, inf);
  dp[0] = (x / t + 1) * w;
  lc.add(0, -dp[0]);
  for (int i = 1; i <= m; i++) {
    dp[i] = dp[i - 1] + ((x - d[i]) / t + 1) * w;
    if (mn[i] != inf) dp[i] = min(dp[i], -lc.query(mn[i] * w) + i * mn[i] * w + sum[i]);
    lc.add(i, -(dp[i] - sum[i]));
  }
  cout << dp[m] << "\n";
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  testCase();
  return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 360 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 360 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 360 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 2 ms 348 KB Output is correct
45 Correct 1 ms 760 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 540 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 360 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 2 ms 348 KB Output is correct
45 Correct 1 ms 760 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 540 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 108 ms 10480 KB Output is correct
53 Correct 82 ms 16840 KB Output is correct
54 Correct 102 ms 15380 KB Output is correct
55 Correct 101 ms 15636 KB Output is correct
56 Correct 106 ms 15888 KB Output is correct
57 Correct 103 ms 15580 KB Output is correct
58 Correct 112 ms 16188 KB Output is correct
59 Correct 115 ms 15520 KB Output is correct
60 Correct 99 ms 15376 KB Output is correct
61 Correct 102 ms 15724 KB Output is correct
62 Correct 101 ms 15664 KB Output is correct
63 Correct 128 ms 27184 KB Output is correct
64 Correct 67 ms 16408 KB Output is correct
65 Correct 76 ms 16224 KB Output is correct
66 Correct 77 ms 16164 KB Output is correct
67 Correct 78 ms 16400 KB Output is correct
68 Correct 77 ms 16340 KB Output is correct
69 Correct 106 ms 16068 KB Output is correct
70 Correct 118 ms 15972 KB Output is correct
71 Correct 106 ms 16100 KB Output is correct
72 Correct 106 ms 15956 KB Output is correct
73 Correct 110 ms 16152 KB Output is correct
74 Correct 116 ms 16140 KB Output is correct
75 Correct 106 ms 16152 KB Output is correct
76 Correct 106 ms 16336 KB Output is correct
77 Correct 104 ms 16040 KB Output is correct
78 Correct 110 ms 16348 KB Output is correct
79 Correct 106 ms 15592 KB Output is correct
80 Correct 106 ms 15644 KB Output is correct