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Submission #486140

# Submission time Handle Problem Language Result Execution time Memory
486140 2021-11-10T15:38:09 Z Duy_e Rabbit Carrot (LMIO19_triusis) C++14
63 / 100
 1000 ms 3528 KB 
#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[N], dp[N], bit[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);
    
    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 <= 2*n + 1; 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;
      |         ~~^~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 280 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 0 ms 204 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 280 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 332 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 2 ms 460 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 1 ms 460 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 460 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 1 ms 460 KB Output is correct
30 Correct 1 ms 460 KB Output is correct
31 Correct 1 ms 460 KB Output is correct
32 Correct 1 ms 460 KB Output is correct
33 Correct 1 ms 460 KB Output is correct

Subtask #3
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 2 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 332 KB Output is correct
22 Correct 0 ms 332 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 0 ms 280 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 2 ms 460 KB Output is correct
35 Correct 2 ms 460 KB Output is correct
36 Correct 2 ms 460 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 1 ms 460 KB Output is correct
39 Correct 1 ms 460 KB Output is correct
40 Correct 1 ms 460 KB Output is correct
41 Correct 1 ms 460 KB Output is correct
42 Correct 2 ms 460 KB Output is correct
43 Correct 1 ms 460 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 460 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 1 ms 460 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 460 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 0 ms 332 KB Output is correct
32 Correct 0 ms 332 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 280 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Execution timed out 1081 ms 3528 KB Time limit exceeded
45 Halted 0 ms 0 KB -