#include<bits/stdc++.h>
using namespace std;
using ll = long long;
bool solve(int n, int k, ll t, vector<ll> x) {
int l = k, r = k, L=k, R = k;
deque<int> monoL, monoR, MonoL, MonoR;
monoL.push_back(k), monoR.push_back(k);
MonoL.push_back(k), MonoR.push_back(k);
for(int i=0; i<n; ++i) {
while(l > 0 && (R-l+1) * t - (x[R] - x[l-1]) / 2 >= 0LL) {
l--;
while(monoL.size() && (k-l) * t + x[l] / 2 < (k-monoL.back()) * t + x[monoL.back()] / 2) {
monoL.pop_back();
}
monoL.push_back(l);
while(MonoL.size() && (k-l) * t + x[l] / 2 > (k-MonoL.back()) * t + x[MonoL.back()] / 2) {
MonoL.pop_back();
}
MonoL.push_back(l);
if((k-l) * t + x[l] / 2 > (k-L) * t + x[L] / 2) {
L = l;
}
}
while(r < n-1 && (r-L+1) * t - (x[r+1] - x[L]) / 2 >= 0LL) {
r++;
while(monoR.size() && (r-k) * t - x[r] / 2 < (monoR.back()-k) * t - x[monoR.back()] / 2) {
monoR.pop_back();
}
monoR.push_back(r);
while(MonoR.size() && (r-k) * t - x[r] / 2 > (MonoR.back()-k) * t - x[MonoR.back()] / 2) {
MonoR.pop_back();
}
MonoR.push_back(r);
if((r-k) * t - x[r] / 2 > (R-k) * t - x[R] / 2) {
R = r;
}
}
}
if(l > 0 || r < n-1) return false;
while(monoL.front() > L) monoL.pop_front();
while(monoR.front() < R) monoR.pop_front();
while(MonoL.size() && MonoL.front() >= L) MonoL.pop_front();
while(MonoR.size() && MonoR.front() <= R) MonoR.pop_front();
for(int i=0; i<n; ++i) {
while(L > 0 && (k-MonoL.front()) * t + x[MonoL.front()] / 2 + (monoR.front()-k) * t - x[monoR.front()] / 2 >= 0LL) {
L = MonoL.front();
while(monoL.front() > L) monoL.pop_front();
while(MonoL.size() && MonoL.front() >= L) MonoL.pop_front();
}
while(R < n-1 && (MonoR.front()-k) * t - x[MonoR.front()] / 2 + (k-monoL.front()) * t + x[monoL.front()] / 2 >= 0LL) {
R = MonoR.front();
while(monoR.front() < R) monoR.pop_front();
while(MonoR.size() && MonoR.front() <= R) MonoR.pop_front();
}
}
return L == 0 && R == n-1;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, k;
ll t;
cin>>n>>k>>t;
k--;
t *= 2LL;
vector<ll> x(n);
for(int i=0; i<n; ++i) {
cin>>x[i];
x[i] *= 2LL;
}
ll lo = 0, hi = 1e10 / t + 1;
while(lo<=hi) {
ll mid = (lo+hi)/2LL;
if(solve(n, k, t*mid, x)) {
hi = mid-1;
}
else {
lo = mid+1;
}
}
cout<<hi+1<<'\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
2 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
384 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
2 ms |
392 KB |
Output is correct |
| 18 |
Correct |
2 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
2 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
384 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
2 ms |
392 KB |
Output is correct |
| 18 |
Correct |
2 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
2 ms |
364 KB |
Output is correct |
| 23 |
Correct |
2 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
2 ms |
364 KB |
Output is correct |
| 26 |
Correct |
3 ms |
364 KB |
Output is correct |
| 27 |
Correct |
2 ms |
364 KB |
Output is correct |
| 28 |
Correct |
2 ms |
364 KB |
Output is correct |
| 29 |
Correct |
2 ms |
364 KB |
Output is correct |
| 30 |
Correct |
2 ms |
364 KB |
Output is correct |
| 31 |
Correct |
2 ms |
364 KB |
Output is correct |
| 32 |
Correct |
2 ms |
364 KB |
Output is correct |
| 33 |
Correct |
2 ms |
380 KB |
Output is correct |
| 34 |
Correct |
2 ms |
492 KB |
Output is correct |
| 35 |
Correct |
2 ms |
364 KB |
Output is correct |
| 36 |
Correct |
2 ms |
364 KB |
Output is correct |
| 37 |
Correct |
2 ms |
364 KB |
Output is correct |
| 38 |
Correct |
2 ms |
364 KB |
Output is correct |
| 39 |
Correct |
2 ms |
364 KB |
Output is correct |
| 40 |
Correct |
2 ms |
364 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
2 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
384 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
2 ms |
392 KB |
Output is correct |
| 18 |
Correct |
2 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
2 ms |
364 KB |
Output is correct |
| 23 |
Correct |
2 ms |
364 KB |
Output is correct |
| 24 |
Correct |
2 ms |
364 KB |
Output is correct |
| 25 |
Correct |
2 ms |
364 KB |
Output is correct |
| 26 |
Correct |
3 ms |
364 KB |
Output is correct |
| 27 |
Correct |
2 ms |
364 KB |
Output is correct |
| 28 |
Correct |
2 ms |
364 KB |
Output is correct |
| 29 |
Correct |
2 ms |
364 KB |
Output is correct |
| 30 |
Correct |
2 ms |
364 KB |
Output is correct |
| 31 |
Correct |
2 ms |
364 KB |
Output is correct |
| 32 |
Correct |
2 ms |
364 KB |
Output is correct |
| 33 |
Correct |
2 ms |
380 KB |
Output is correct |
| 34 |
Correct |
2 ms |
492 KB |
Output is correct |
| 35 |
Correct |
2 ms |
364 KB |
Output is correct |
| 36 |
Correct |
2 ms |
364 KB |
Output is correct |
| 37 |
Correct |
2 ms |
364 KB |
Output is correct |
| 38 |
Correct |
2 ms |
364 KB |
Output is correct |
| 39 |
Correct |
2 ms |
364 KB |
Output is correct |
| 40 |
Correct |
2 ms |
364 KB |
Output is correct |
| 41 |
Correct |
58 ms |
2288 KB |
Output is correct |
| 42 |
Correct |
3 ms |
364 KB |
Output is correct |
| 43 |
Correct |
17 ms |
876 KB |
Output is correct |
| 44 |
Correct |
91 ms |
3308 KB |
Output is correct |
| 45 |
Correct |
91 ms |
3308 KB |
Output is correct |
| 46 |
Correct |
80 ms |
3308 KB |
Output is correct |
| 47 |
Correct |
85 ms |
3308 KB |
Output is correct |
| 48 |
Correct |
84 ms |
3308 KB |
Output is correct |
| 49 |
Correct |
81 ms |
3324 KB |
Output is correct |
| 50 |
Correct |
82 ms |
3308 KB |
Output is correct |
| 51 |
Correct |
90 ms |
3308 KB |
Output is correct |
| 52 |
Correct |
79 ms |
3308 KB |
Output is correct |
| 53 |
Correct |
93 ms |
3308 KB |
Output is correct |
| 54 |
Correct |
83 ms |
3308 KB |
Output is correct |
| 55 |
Correct |
96 ms |
3308 KB |
Output is correct |
| 56 |
Correct |
83 ms |
3308 KB |
Output is correct |
| 57 |
Correct |
88 ms |
3436 KB |
Output is correct |
| 58 |
Correct |
95 ms |
3308 KB |
Output is correct |
| 59 |
Correct |
85 ms |
2880 KB |
Output is correct |
| 60 |
Correct |
84 ms |
3308 KB |
Output is correct |
| 61 |
Correct |
77 ms |
3180 KB |
Output is correct |
| 62 |
Correct |
85 ms |
3308 KB |
Output is correct |
| 63 |
Correct |
81 ms |
3308 KB |
Output is correct |
| 64 |
Correct |
80 ms |
3308 KB |
Output is correct |
| 65 |
Correct |
83 ms |
3308 KB |
Output is correct |
| 66 |
Correct |
85 ms |
3308 KB |
Output is correct |
| 67 |
Correct |
80 ms |
3308 KB |
Output is correct |
| 68 |
Correct |
94 ms |
3308 KB |
Output is correct |
| 69 |
Correct |
81 ms |
3308 KB |
Output is correct |
