#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define pii pair<long long, long long>
#define st first
#define nd second
#define file "test"
using namespace std;
const long long oo = 1e18;
const long long N = 2e5 + 5;
int n, m, h[2*N], dp[2*N], bit[2*N], SIZE;
vector <int> compress;
int find(int x){
int l = 0, r = compress.size() - 1, mid, ans = 0;
while (l <= r){
mid = l + r >> 1;
if (compress[mid] >= x)
ans = mid + 1, r = mid - 1;
else
l = mid + 1;
}
return ans;
}
void upd(int idx, int val){
while (idx > 0)
bit[idx] = min(bit[idx], val),
idx -= idx &-idx;
}
int get(int idx, int ans = 1e9){
while (idx <= SIZE)
ans = min(ans, bit[idx]),
idx += idx & -idx;
return ans;
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// #ifndef ONLINE_JUDGE
// freopen(file".inp","r",stdin); freopen(file".out","w",stdout);
// #endif
cin >> n >> m;
compress.push_back(0);
for (int i = 1; i <= n; i ++){
cin >> h[i];
compress.push_back(h[i] - i*m);
}
compress.push_back(-(n + 1)*m);
sort(compress.begin(), compress.end());
SIZE = compress.size();
for (int i = 0; i <= n + 1000; i ++)
dp[i] = bit[i] = 1e9;
dp[0] = 0;
upd(find(0), -1);
/*
for (int i = 1; i <= n + 1; i ++){
for (int j = i - 1; j >= 0; j --)
if (h[j] - j*m >= h[i] - i*m)
dp[i] = min(dp[i], dp[j] + i - j - 1);
// cout << dp[i] << ' ';
}
*/
for (int i = 1; i <= n + 1; i ++){
ll pos = find(h[i] - i*m), tmp = get(pos);
dp[i] = tmp + i;
upd(pos, dp[i] - i - 1);
}
cout << dp[n + 1];
return 0;
}
/** /\_/\
(= ._.)
/ >0 \>1
________________________
/ Brainstorming section /
/=======================/
---
===
with two fixed point j, i you are allowed to change every pole between j, i (j < i)
-> could it be changed so that you can go from j->i
possible case:
+ a[i] <= a[j]
+ h[j] + (i - j)*m >= h[i] <=> h[j] + i*m - j*m >= h[i] <=> h[j] - j*m >= h[i] - i*m
upd(h[i], dp[i] - i - 1)
get(h[j] - j*m)
===
**/
// Before submit: spot the visible bug by reading the code.
Compilation message
triusis.cpp: In function 'int find(int)':
triusis.cpp:18:11: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
18 | mid = l + r >> 1;
| ~~^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
328 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
328 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
324 KB |
Output is correct |
| 9 |
Correct |
1 ms |
328 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
0 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
324 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
328 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
328 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
324 KB |
Output is correct |
| 9 |
Correct |
1 ms |
328 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
0 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
324 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
320 KB |
Output is correct |
| 20 |
Correct |
1 ms |
336 KB |
Output is correct |
| 21 |
Correct |
1 ms |
468 KB |
Output is correct |
| 22 |
Correct |
2 ms |
468 KB |
Output is correct |
| 23 |
Correct |
2 ms |
464 KB |
Output is correct |
| 24 |
Correct |
2 ms |
476 KB |
Output is correct |
| 25 |
Correct |
2 ms |
468 KB |
Output is correct |
| 26 |
Correct |
2 ms |
468 KB |
Output is correct |
| 27 |
Correct |
2 ms |
468 KB |
Output is correct |
| 28 |
Correct |
1 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
468 KB |
Output is correct |
| 30 |
Correct |
1 ms |
468 KB |
Output is correct |
| 31 |
Correct |
1 ms |
396 KB |
Output is correct |
| 32 |
Correct |
2 ms |
468 KB |
Output is correct |
| 33 |
Correct |
1 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
320 KB |
Output is correct |
| 4 |
Correct |
1 ms |
336 KB |
Output is correct |
| 5 |
Correct |
1 ms |
468 KB |
Output is correct |
| 6 |
Correct |
2 ms |
468 KB |
Output is correct |
| 7 |
Correct |
2 ms |
464 KB |
Output is correct |
| 8 |
Correct |
2 ms |
476 KB |
Output is correct |
| 9 |
Correct |
2 ms |
468 KB |
Output is correct |
| 10 |
Correct |
2 ms |
468 KB |
Output is correct |
| 11 |
Correct |
2 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
396 KB |
Output is correct |
| 16 |
Correct |
2 ms |
468 KB |
Output is correct |
| 17 |
Correct |
1 ms |
468 KB |
Output is correct |
| 18 |
Correct |
0 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
328 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
1 ms |
328 KB |
Output is correct |
| 22 |
Correct |
1 ms |
340 KB |
Output is correct |
| 23 |
Correct |
1 ms |
340 KB |
Output is correct |
| 24 |
Correct |
1 ms |
340 KB |
Output is correct |
| 25 |
Correct |
1 ms |
324 KB |
Output is correct |
| 26 |
Correct |
1 ms |
328 KB |
Output is correct |
| 27 |
Correct |
1 ms |
340 KB |
Output is correct |
| 28 |
Correct |
1 ms |
340 KB |
Output is correct |
| 29 |
Correct |
1 ms |
340 KB |
Output is correct |
| 30 |
Correct |
1 ms |
340 KB |
Output is correct |
| 31 |
Correct |
0 ms |
340 KB |
Output is correct |
| 32 |
Correct |
1 ms |
324 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
2 ms |
468 KB |
Output is correct |
| 35 |
Correct |
2 ms |
468 KB |
Output is correct |
| 36 |
Correct |
2 ms |
404 KB |
Output is correct |
| 37 |
Correct |
2 ms |
384 KB |
Output is correct |
| 38 |
Correct |
1 ms |
472 KB |
Output is correct |
| 39 |
Correct |
2 ms |
468 KB |
Output is correct |
| 40 |
Correct |
2 ms |
468 KB |
Output is correct |
| 41 |
Correct |
2 ms |
476 KB |
Output is correct |
| 42 |
Correct |
2 ms |
468 KB |
Output is correct |
| 43 |
Correct |
1 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
468 KB |
Output is correct |
| 2 |
Correct |
2 ms |
468 KB |
Output is correct |
| 3 |
Correct |
2 ms |
404 KB |
Output is correct |
| 4 |
Correct |
2 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
472 KB |
Output is correct |
| 6 |
Correct |
2 ms |
468 KB |
Output is correct |
| 7 |
Correct |
2 ms |
468 KB |
Output is correct |
| 8 |
Correct |
2 ms |
476 KB |
Output is correct |
| 9 |
Correct |
2 ms |
468 KB |
Output is correct |
| 10 |
Correct |
1 ms |
468 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
340 KB |
Output is correct |
| 13 |
Correct |
1 ms |
320 KB |
Output is correct |
| 14 |
Correct |
1 ms |
336 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
2 ms |
468 KB |
Output is correct |
| 17 |
Correct |
2 ms |
464 KB |
Output is correct |
| 18 |
Correct |
2 ms |
476 KB |
Output is correct |
| 19 |
Correct |
2 ms |
468 KB |
Output is correct |
| 20 |
Correct |
2 ms |
468 KB |
Output is correct |
| 21 |
Correct |
2 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
468 KB |
Output is correct |
| 23 |
Correct |
1 ms |
468 KB |
Output is correct |
| 24 |
Correct |
1 ms |
468 KB |
Output is correct |
| 25 |
Correct |
1 ms |
396 KB |
Output is correct |
| 26 |
Correct |
2 ms |
468 KB |
Output is correct |
| 27 |
Correct |
1 ms |
468 KB |
Output is correct |
| 28 |
Correct |
0 ms |
340 KB |
Output is correct |
| 29 |
Correct |
1 ms |
328 KB |
Output is correct |
| 30 |
Correct |
1 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
328 KB |
Output is correct |
| 32 |
Correct |
1 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
340 KB |
Output is correct |
| 34 |
Correct |
1 ms |
340 KB |
Output is correct |
| 35 |
Correct |
1 ms |
324 KB |
Output is correct |
| 36 |
Correct |
1 ms |
328 KB |
Output is correct |
| 37 |
Correct |
1 ms |
340 KB |
Output is correct |
| 38 |
Correct |
1 ms |
340 KB |
Output is correct |
| 39 |
Correct |
1 ms |
340 KB |
Output is correct |
| 40 |
Correct |
1 ms |
340 KB |
Output is correct |
| 41 |
Correct |
0 ms |
340 KB |
Output is correct |
| 42 |
Correct |
1 ms |
324 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| 44 |
Correct |
30 ms |
3988 KB |
Output is correct |
| 45 |
Correct |
72 ms |
5592 KB |
Output is correct |
| 46 |
Correct |
74 ms |
5412 KB |
Output is correct |
| 47 |
Correct |
71 ms |
5448 KB |
Output is correct |
| 48 |
Correct |
36 ms |
4488 KB |
Output is correct |
| 49 |
Correct |
37 ms |
4824 KB |
Output is correct |
| 50 |
Correct |
38 ms |
5448 KB |
Output is correct |
| 51 |
Correct |
43 ms |
5488 KB |
Output is correct |
| 52 |
Correct |
45 ms |
4456 KB |
Output is correct |
| 53 |
Correct |
30 ms |
4812 KB |
Output is correct |
| 54 |
Correct |
37 ms |
4552 KB |
Output is correct |
| 55 |
Correct |
38 ms |
4620 KB |
Output is correct |
