#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100'000;
const ll INF = 10'000'000'000;
ll n, k, t, s, x[N + 10];
stack<ll> a, b;
void readInput() {
cin >> n >> k >> t;
for (int i = 1; i <= n; i++)
cin >> x[i];
}
stack<ll> empSt() {
stack<ll> st;
return st;
}
stack<ll> revSt(stack<ll> st) {
stack<ll> res;
while (st.size()) {
res.push(-st.top());
st.pop();
}
return res;
}
void calcA() {
a = empSt();
a.push(min(INF, t * s));
for (int i = 2; i <= k; i++) {
a.push(x[i - 1] - x[i]);
a.push(min(INF, t * s));
}
}
void calcB() {
b = empSt();
for (int i = n; i >= k + 1; i--) {
b.push(min(INF, t * s));
b.push(x[i - 1] - x[i]);
}
}
void calcStack() {
calcA();
calcB();
}
pair<stack<ll>, stack<pair<ll, ll>>> compress(stack<ll> st) {
stack<pair<ll, ll>> reverseRes, res;
stack<ll> del;
ll sum = 0, mn = 0;
while (st.size()) {
sum += st.top();
mn = min(mn, sum);
del.push(st.top());
st.pop();
if (sum >= 0) {
reverseRes.push(make_pair(sum, mn));
del = empSt();
sum = mn = 0;
}
}
while (del.size()) {
st.push(del.top());
del.pop();
}
while (reverseRes.size()) {
res.push(reverseRes.top());
reverseRes.pop();
}
return make_pair(st, res);
}
pair<ll, pair<stack<ll>, stack<ll>>> step(ll val, stack<ll> st1, stack<ll> st2) {
auto p1 = compress(st1), p2 = compress(st2);
stack<ll> resStack[2] = {p1.first, p2.first};
stack<pair<ll, ll>> cmp[2] = {p1.second, p2.second};
while (cmp[0].size() || cmp[1].size()) {
bool ok = false;
for (int id = 0; id < 2; id++)
if (cmp[id].size() && val + cmp[id].top().second >= 0) {
val += cmp[id].top().first;
cmp[id].pop();
ok = true;
}
if (!ok)
return make_pair(-1ll, make_pair(a, b));
}
return make_pair(val, make_pair(resStack[0], resStack[1]));
}
ll calcSum() {
return n * min(INF, t * s) - x[n];
}
bool check(ll mid) {
s = mid;
calcStack();
auto x = step(0, a, b);
if (x.first == -1)
return false;
return step(calcSum(), revSt(x.second.first), revSt(x.second.second)).first != -1;
}
void solve() {
ll l = 0, r = INF;
while (r - l > 1) {
ll mid = (l + r) >> 1;
if (check(mid + mid))
r = mid;
else
l = mid;
}
cout << r << flush;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
readInput();
solve();
return 0;
}
# |
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 |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Incorrect |
1 ms |
476 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Incorrect |
1 ms |
476 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
348 KB |
Output is correct |
5 |
Correct |
1 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 |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Incorrect |
1 ms |
476 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |