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Submission #306586

# Submission time Handle Problem Language Result Execution time Memory
306586 2020-09-25T23:01:47 Z CaroLinda Mountains (IOI17_mountains) C++14
100 / 100
 77 ms 16256 KB 
#include "mountains.h"
#include <bits/stdc++.h>

#define ll long long
#define sz(x) (int)(x.size())

using namespace std ;

template<class T>
class Point
{
	public:
		
		T x , y ;

		Point(){ x = y = 0 ; }

		Point(T a, T b)
		{
			x = a ;
			y = b ;
		}

		T operator % (Point other) const { return x*other.y - y*other.x ; }
		T operator * (Point other) const { return x*other.x + y*other.y ; }
		Point operator - (Point other) const { return Point(x-other.x, y-other.y) ; }

} ;

int maximum_deevs(vector<int> y) 
{

	int n = sz(y) ;

	vector< Point<ll> > ponto(n) ;

	for(int i = 0 ; i< n ; i++ ) ponto[i].x = i , ponto[i].y = y[i] ;

	vector< vector<int> > dp(n+5, vector<int>(n+5,0) ) ;
	vector< int > meuUltimo(n) , maxSuf(n+5,0) ;

	for(int i = 0 ; i < n ; i++ )
		for(int j = i ; j < n ; j++ ) dp[i][j] = 1 ;

	for(int i = 0 ; i <n-1 ; i++ ) meuUltimo[i] = i+1 ;

	for(int r = 2 ; r <= n ; r++ )
	{
		for(int i = 0 ; i <= r-2 ; i++ )
			dp[i][r-1] = dp[i][r-2] ;

		for(int i = r-1 ; i >= 0 ; i-- ) maxSuf[i] = max(maxSuf[i+1] , dp[i][r-1] ) ;

		for(int i = r-2 ; i >= 0 ; i-- )
		{
			maxSuf[i] = max(maxSuf[i+1] , maxSuf[i]) ;

			dp[i][r-1] = max(dp[i][r-1], dp[i][ meuUltimo[i]-1 ] + maxSuf[ meuUltimo[i]+1 ] ) ;

			if( r == n || (ponto[meuUltimo[i]] - ponto[i]) % (ponto[r]-ponto[i]) >= 0  )
				meuUltimo[i] = r ;

			maxSuf[i] = max(maxSuf[i] ,dp[i][r-1] ) ;

		}
	}

	int mx = 1 ;

	for(int i = 0 ; i < n ; i++ ) mx = max(mx, *max_element(dp[i].begin() , dp[i].end())) ;

	return mx ;

}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 256 KB Output is correct
25 Correct 0 ms 256 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 368 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 0 ms 256 KB Output is correct
36 Correct 0 ms 256 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 256 KB Output is correct
25 Correct 0 ms 256 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 368 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 0 ms 256 KB Output is correct
36 Correct 0 ms 256 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 512 KB Output is correct
40 Correct 2 ms 640 KB Output is correct
41 Correct 2 ms 640 KB Output is correct
42 Correct 2 ms 640 KB Output is correct
43 Correct 2 ms 640 KB Output is correct
44 Correct 2 ms 640 KB Output is correct
45 Correct 2 ms 640 KB Output is correct
46 Correct 1 ms 640 KB Output is correct
47 Correct 2 ms 640 KB Output is correct
48 Correct 2 ms 640 KB Output is correct
49 Correct 2 ms 640 KB Output is correct
50 Correct 2 ms 640 KB Output is correct
51 Correct 2 ms 640 KB Output is correct
52 Correct 2 ms 640 KB Output is correct
53 Correct 2 ms 640 KB Output is correct
54 Correct 2 ms 640 KB Output is correct
55 Correct 2 ms 640 KB Output is correct
56 Correct 2 ms 640 KB Output is correct
57 Correct 2 ms 768 KB Output is correct
58 Correct 2 ms 640 KB Output is correct
59 Correct 2 ms 640 KB Output is correct
60 Correct 2 ms 640 KB Output is correct
61 Correct 2 ms 640 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 256 KB Output is correct
25 Correct 0 ms 256 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 368 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 0 ms 256 KB Output is correct
36 Correct 0 ms 256 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 512 KB Output is correct
40 Correct 2 ms 640 KB Output is correct
41 Correct 2 ms 640 KB Output is correct
42 Correct 2 ms 640 KB Output is correct
43 Correct 2 ms 640 KB Output is correct
44 Correct 2 ms 640 KB Output is correct
45 Correct 2 ms 640 KB Output is correct
46 Correct 1 ms 640 KB Output is correct
47 Correct 2 ms 640 KB Output is correct
48 Correct 2 ms 640 KB Output is correct
49 Correct 2 ms 640 KB Output is correct
50 Correct 2 ms 640 KB Output is correct
51 Correct 2 ms 640 KB Output is correct
52 Correct 2 ms 640 KB Output is correct
53 Correct 2 ms 640 KB Output is correct
54 Correct 2 ms 640 KB Output is correct
55 Correct 2 ms 640 KB Output is correct
56 Correct 2 ms 640 KB Output is correct
57 Correct 2 ms 768 KB Output is correct
58 Correct 2 ms 640 KB Output is correct
59 Correct 2 ms 640 KB Output is correct
60 Correct 2 ms 640 KB Output is correct
61 Correct 2 ms 640 KB Output is correct
62 Correct 12 ms 4352 KB Output is correct
63 Correct 74 ms 16256 KB Output is correct
64 Correct 76 ms 16128 KB Output is correct
65 Correct 75 ms 16128 KB Output is correct
66 Correct 74 ms 16128 KB Output is correct
67 Correct 74 ms 16128 KB Output is correct
68 Correct 74 ms 16128 KB Output is correct
69 Correct 75 ms 16128 KB Output is correct
70 Correct 66 ms 16128 KB Output is correct
71 Correct 66 ms 16128 KB Output is correct
72 Correct 68 ms 16128 KB Output is correct
73 Correct 67 ms 16128 KB Output is correct
74 Correct 66 ms 16128 KB Output is correct
75 Correct 68 ms 16128 KB Output is correct
76 Correct 74 ms 16128 KB Output is correct
77 Correct 63 ms 16248 KB Output is correct
78 Correct 61 ms 16128 KB Output is correct
79 Correct 61 ms 16128 KB Output is correct
80 Correct 63 ms 16128 KB Output is correct
81 Correct 63 ms 16128 KB Output is correct
82 Correct 77 ms 16128 KB Output is correct
83 Correct 75 ms 16128 KB Output is correct
84 Correct 76 ms 16128 KB Output is correct
85 Correct 76 ms 16248 KB Output is correct
86 Correct 76 ms 16256 KB Output is correct