#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ii = pair<int, int>;
using vi = vector<int>;
#define all(v) begin(v), end(v)
#define sz(v) (int)(v).size()
#define fi first
#define se second
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...)
#endif
int main(int argc, char const *argv[])
{
#ifdef LOCAL
freopen("in", "r", stdin);
#endif
int n, k; ll t;
scanf("%d %d %lld", &n, &k, &t);
vector<ll> X(n+1);
for(int i = 1; i <= n; ++i) {
scanf("%lld", &X[i]);
}
if(X[n] == 0) {
puts("0");
return 0;
}
function<bool(ll)> possible = [&](ll s) {
auto x = X;
for(int i = 1; i <= n; ++i) {
x[i] -= 2LL * s * t * i;
}
x[0] = LLONG_MAX;
x.push_back(LLONG_MIN);
vi pg(n+1), ns(n+1), ng(n+1), ps(n+1);
vector<ll> pg_min = x, ns_max = x;
vector<ll> ng_min = x, ps_max = x;
vector<int> stk = {0};
for(int i = 1; i <= n; ++i) {
while(x[stk.back()] < x[i]) {
pg_min[i] = min(pg_min[i], pg_min[stk.back()]);
stk.pop_back();
}
pg[i] = stk.back();
stk.push_back(i);
}
stk.clear();
stk = {n+1};
for(int i = n; i >= 1; --i) {
while(x[stk.back()] > x[i]) {
ns_max[i] = max(ns_max[i], ns_max[stk.back()]);
stk.pop_back();
}
ns[i] = stk.back();
stk.push_back(i);
}
stk.clear();
x[0] = LLONG_MIN, x[n+1] = LLONG_MAX;
stk = {0};
for(int i = 1; i <= n; ++i) {
while(x[stk.back()] >= x[i]) {
ps_max[i] = max(ps_max[i], ps_max[stk.back()]);
stk.pop_back();
}
ps[i] = stk.back();
stk.push_back(i);
}
stk.clear();
stk = {n+1};
for(int i = n; i >= 1; --i) {
while(x[stk.back()] <= x[i]) {
ng_min[i] = min(ng_min[i], ng_min[stk.back()]);
stk.pop_back();
}
ng[i] = stk.back();
stk.push_back(i);
}
int l1 = k, r1 = k;
while(pg[l1] >= 1 or ns[r1] <= n) {
if(pg[l1] >= 1 and pg_min[l1] >= x[r1])
l1 = pg[l1];
else if(ns[r1] <= n and ns_max[r1] <= x[l1])
r1 = ns[r1];
else
return false;
}
int l2 = 1, r2 = n;
while(ng[l2] <= k or ps[r2] >= k) {
if(ng[l2] <= k and ng_min[l2] >= x[r2])
l2 = ng[l2];
else if(ps[r2] >= k and ps_max[r2] <= x[l2])
r2 = ps[r2];
else
return false;
}
return l1 == l2 and r1 == r2;
};
int lo = 1, hi = 1e9, opt = -1;
while(lo <= hi) {
int mid = (lo + hi) >> 1;
if(possible(mid)) {
opt = mid;
hi = mid-1;
} else {
lo = mid+1;
}
}
printf("%d\n", opt);
return 0;
}
/*
* use std::array instead of std::vector, if u can
* overflow?
* array bounds
*/
Compilation message
sparklers.cpp: In function 'int main(int, const char**)':
sparklers.cpp:23:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
23 | scanf("%d %d %lld", &n, &k, &t);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
sparklers.cpp:26:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
26 | scanf("%lld", &X[i]);
| ~~~~~^~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
292 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
292 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
2 ms |
332 KB |
Output is correct |
25 |
Correct |
2 ms |
332 KB |
Output is correct |
26 |
Correct |
2 ms |
332 KB |
Output is correct |
27 |
Correct |
2 ms |
300 KB |
Output is correct |
28 |
Correct |
2 ms |
296 KB |
Output is correct |
29 |
Correct |
2 ms |
332 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
2 ms |
332 KB |
Output is correct |
32 |
Correct |
2 ms |
332 KB |
Output is correct |
33 |
Correct |
3 ms |
332 KB |
Output is correct |
34 |
Correct |
3 ms |
332 KB |
Output is correct |
35 |
Correct |
3 ms |
332 KB |
Output is correct |
36 |
Correct |
2 ms |
332 KB |
Output is correct |
37 |
Correct |
2 ms |
332 KB |
Output is correct |
38 |
Correct |
2 ms |
332 KB |
Output is correct |
39 |
Correct |
3 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
292 KB |
Output is correct |
22 |
Correct |
2 ms |
332 KB |
Output is correct |
23 |
Correct |
2 ms |
332 KB |
Output is correct |
24 |
Correct |
2 ms |
332 KB |
Output is correct |
25 |
Correct |
2 ms |
332 KB |
Output is correct |
26 |
Correct |
2 ms |
332 KB |
Output is correct |
27 |
Correct |
2 ms |
300 KB |
Output is correct |
28 |
Correct |
2 ms |
296 KB |
Output is correct |
29 |
Correct |
2 ms |
332 KB |
Output is correct |
30 |
Correct |
2 ms |
332 KB |
Output is correct |
31 |
Correct |
2 ms |
332 KB |
Output is correct |
32 |
Correct |
2 ms |
332 KB |
Output is correct |
33 |
Correct |
3 ms |
332 KB |
Output is correct |
34 |
Correct |
3 ms |
332 KB |
Output is correct |
35 |
Correct |
3 ms |
332 KB |
Output is correct |
36 |
Correct |
2 ms |
332 KB |
Output is correct |
37 |
Correct |
2 ms |
332 KB |
Output is correct |
38 |
Correct |
2 ms |
332 KB |
Output is correct |
39 |
Correct |
3 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
86 ms |
6304 KB |
Output is correct |
42 |
Correct |
6 ms |
620 KB |
Output is correct |
43 |
Correct |
25 ms |
1888 KB |
Output is correct |
44 |
Correct |
167 ms |
9484 KB |
Output is correct |
45 |
Correct |
175 ms |
9476 KB |
Output is correct |
46 |
Correct |
174 ms |
9404 KB |
Output is correct |
47 |
Correct |
157 ms |
9388 KB |
Output is correct |
48 |
Correct |
164 ms |
9488 KB |
Output is correct |
49 |
Correct |
185 ms |
9448 KB |
Output is correct |
50 |
Correct |
165 ms |
9432 KB |
Output is correct |
51 |
Correct |
172 ms |
9384 KB |
Output is correct |
52 |
Correct |
169 ms |
9488 KB |
Output is correct |
53 |
Correct |
170 ms |
9380 KB |
Output is correct |
54 |
Correct |
128 ms |
9468 KB |
Output is correct |
55 |
Correct |
168 ms |
9388 KB |
Output is correct |
56 |
Correct |
165 ms |
9436 KB |
Output is correct |
57 |
Correct |
164 ms |
9488 KB |
Output is correct |
58 |
Correct |
159 ms |
9420 KB |
Output is correct |
59 |
Correct |
10 ms |
1228 KB |
Output is correct |
60 |
Correct |
131 ms |
9456 KB |
Output is correct |
61 |
Correct |
123 ms |
9380 KB |
Output is correct |
62 |
Correct |
118 ms |
9480 KB |
Output is correct |
63 |
Correct |
112 ms |
9436 KB |
Output is correct |
64 |
Correct |
116 ms |
9352 KB |
Output is correct |
65 |
Correct |
120 ms |
9488 KB |
Output is correct |
66 |
Correct |
115 ms |
9460 KB |
Output is correct |
67 |
Correct |
113 ms |
9448 KB |
Output is correct |
68 |
Correct |
114 ms |
9488 KB |
Output is correct |
69 |
Correct |
119 ms |
9344 KB |
Output is correct |