#include <bits/stdc++.h>
#define ll long long
#define ar array
#define db double
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
void test_case() {
// for all station intervals (l, r)
// there are r-l-1 potential spots that we can get
// it costs B for a semiexp train
// find the last one s.t. local train does not reach
// greedily choose the semiexp trains that would allow the most number of stations to be reached in T stops
int n, m, k, a, b, c;
cin >> n >> m >> k >> a >> c >> b;
ll T; cin >> T;
vector<int> stations(m);
for (int &x : stations) cin >> x;
k -= m;
int ans = 0;
for (int i = 1; i < m; i++) ans += (ll)(stations[i] - 1) * c <= T;
auto cost = [&](int pos) {
auto it = lower_bound(all(stations), pos);
assert(it != stations.begin());
int where = *prev(it);
return (ll)(where - 1) * c + (ll)(pos - where) * b;
};
auto calc = [&](int l, int r) -> int { // how many stations we can get if we build one at l
ll C = cost(l);
if (C > T) return 0;
return 1 + min((T - C) / a, (ll)(r - l));
};
priority_queue<ar<int, 3>> q;
for (int i = 0; i < m-1; i++) {
int l = stations[i], r = stations[i+1];
if (l+1 == r) continue;
auto good = [&](int pos) {
return (ll)(pos - l) * a + (ll)c * (l - 1) <= T;
};
int L = l+1, R = r-1;
if (good(L)) {
int cur = L, bl = L, br = R;
while (bl <= br) {
int mid = (bl+br)/2;
if (good(mid)) cur = mid, bl = mid+1;
else br = mid-1;
}
ans += cur - l;
if (cur+1 <= R) {
q.push({calc(cur+1, R), cur+1, R});
}
}
else q.push({calc(L, R), L, R});
}
while (k-- && q.size()) {
auto [get, l, r] = q.top();
q.pop();
ans += get;
if (l + get <= r) {
q.push({calc(l+get, r), l+get, r});
}
}
cout << ans << '\n';
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int t = 1;
// cin >> t;
while (t--) test_case();
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
460 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
460 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| 9 |
Correct |
0 ms |
344 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 |
0 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 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
460 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| 9 |
Correct |
0 ms |
344 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 |
0 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 |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
344 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
1 ms |
348 KB |
Output is correct |
| 26 |
Correct |
1 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
348 KB |
Output is correct |
| 29 |
Correct |
0 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
