Submission #250442

# Submission time Handle Problem Language Result Execution time Memory
250442 2020-07-17T22:28:37 Z tutis Candies (JOI18_candies) C++17
100 / 100
548 ms 17692 KB
/*input
5
3 5 1 7 6
*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
vector<ll> sum(vector<ll>&a, vector<ll>&b)
{
	for (ll &i : a)
		if (i < 0)
			i = -1e15;
	for (ll &i : b)
		if (i < 0)
			i = -1e15;
	for (int i = 1; i + 1 < a.size(); i++)
		assert(2 * a[i] >= a[i - 1] + a[i + 1]);
	for (int i = 1; i + 1 < b.size(); i++)
		assert(2 * b[i] >= b[i - 1] + b[i + 1]);
	vector<ll>c((int)a.size() + (int)b.size() - 1, -1e15);
	int x = 0;
	for (int i = 0; i < c.size(); i++)
	{
		int lo = max(0, i - (int)b.size() + 1);
		int hi = min((int)a.size() - 1, i);
		x = max(x, lo);
		x = min(x, hi);
		while (true)
		{
			int x1 = x + 1;
			if (x1 <= hi && a[x1] + b[i - x1] >= a[x] + b[i - x])
				x++;
			else
				break;
		}
		c[i] = a[x] + b[i - x];
	}
	return c;
}
vector<array<array<ll, 2>, 2>>ans(const vector<ll> &a)
{
	assert(!a.empty());
	if (a.size() == 1)
	{
		vector<array<array<ll, 2>, 2>>ret(2);
		ret[1][1][1] = a[0];
		ret[0][1][1] = 0;
		ret[0][1][0] = 0;
		ret[0][0][1] = 0;
		ret[0][0][0] = 0;
		ret[1][1][0] = -1e15;
		ret[1][0][1] = -1e15;
		ret[1][0][0] = -1e15;
		return ret;
	}
	if (a.size() == 2)
	{
		vector<array<array<ll, 2>, 2>>ret(2);
		ret[1][1][1] = max(a[0], a[1]);
		ret[1][1][0] = a[0];
		ret[1][0][1] = a[1];
		ret[1][0][0] = -1e15;
		ret[0][1][1] = 0;
		ret[0][1][0] = 0;
		ret[0][0][1] = 0;
		ret[0][0][0] = 0;
		return ret;
	}
	int i = (a.size()) / 2;
	ll xxx = a[i];
	vector<ll>k;
	vector<ll>d;
	for (int j = 0; j < i; j++)
		k.push_back(a[j]);
	for (int j = i + 1; j < a.size(); j++)
		d.push_back(a[j]);
	auto K = ans(k);
	auto D = ans(d);
	vector<array<array<ll, 2>, 2>>ret(((int)a.size() + 3) / 2);
	for (int i = 0; i < ret.size(); i++)
	{
		for (int x : {0, 1})
		{
			for (int y : {0, 1})
			{
				ret[i][x][y] = -1e15;
			}
		}
	}
	vector<ll>suma[2][2][2];
	for (int x : {0, 1})
	{
		for (int t : {0, 1})
			for (int y : {0, 1})
			{
				vector<ll>a;
				vector<ll>b;
				for (int i = 0; i < K.size(); i++)
					a.push_back(K[i][x][t]);
				for (int i = 0; i < D.size(); i++)
					b.push_back(D[i][t][y]);
				suma[x][t][y] = sum(a, b);
			}
	}
	for (int x : {0, 1})
	{
		for (int y : {0, 1})
		{
			for (int i = 0; i < suma[x][1][y].size(); i++)
				ret[i][x][y] = max(ret[i][x][y], suma[x][1][y][i]);
			for (int i = 0; i < suma[x][0][y].size() && i + 1 < ret.size(); i++)
				ret[i + 1][x][y] = max(ret[i + 1][x][y], xxx + suma[x][0][y][i]);
		}
	}
	for (int i = 0; i < ret.size(); i++)
	{
		ret[i][0][1] = max(ret[i][0][1], ret[i][0][0]);
		ret[i][1][0] = max(ret[i][1][0], ret[i][0][0]);
		ret[i][1][1] = max({ret[i][1][1], ret[i][0][1], ret[i][1][0]});
	}
	return ret;
};
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0), cout.tie(0);
	int n;
	cin >> n;
	vector<ll>a(n);
	for (ll&i : a)
		cin >> i;
	vector<array<array<ll, 2>, 2>>x = ans(a);
	for (int i = 1; i <= (n + 1) / 2; i++)
	{
		cout << x[i][1][1] << "\n";
	}
	return 0;
}

Compilation message

candies.cpp: In function 'std::vector<long long int> sum(std::vector<long long int>&, std::vector<long long int>&)':
candies.cpp:17:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i + 1 < a.size(); i++)
                  ~~~~~~^~~~~~~~~~
candies.cpp:19:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 1; i + 1 < b.size(); i++)
                  ~~~~~~^~~~~~~~~~
candies.cpp:23:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < c.size(); i++)
                  ~~^~~~~~~~~~
candies.cpp: In function 'std::vector<std::array<std::array<long long int, 2>, 2> > ans(const std::vector<long long int>&)':
candies.cpp:76:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int j = i + 1; j < a.size(); j++)
                      ~~^~~~~~~~~~
candies.cpp:81:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < ret.size(); i++)
                  ~~^~~~~~~~~~~~
candies.cpp:99:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < K.size(); i++)
                     ~~^~~~~~~~~~
candies.cpp:101:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < D.size(); i++)
                     ~~^~~~~~~~~~
candies.cpp:110:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int i = 0; i < suma[x][1][y].size(); i++)
                    ~~^~~~~~~~~~~~~~~~~~~~~~
candies.cpp:112:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int i = 0; i < suma[x][0][y].size() && i + 1 < ret.size(); i++)
                    ~~^~~~~~~~~~~~~~~~~~~~~~
candies.cpp:112:54: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int i = 0; i < suma[x][0][y].size() && i + 1 < ret.size(); i++)
                                                ~~~~~~^~~~~~~~~~~~
candies.cpp:116:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < ret.size(); i++)
                  ~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 5 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 6 ms 512 KB Output is correct
6 Correct 5 ms 512 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 564 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 5 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 5 ms 512 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 5 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 6 ms 512 KB Output is correct
6 Correct 5 ms 512 KB Output is correct
7 Correct 5 ms 512 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 512 KB Output is correct
10 Correct 5 ms 564 KB Output is correct
11 Correct 6 ms 512 KB Output is correct
12 Correct 5 ms 512 KB Output is correct
13 Correct 5 ms 512 KB Output is correct
14 Correct 5 ms 512 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 5 ms 512 KB Output is correct
17 Correct 5 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 5 ms 512 KB Output is correct
20 Correct 5 ms 512 KB Output is correct
21 Correct 527 ms 17644 KB Output is correct
22 Correct 532 ms 17344 KB Output is correct
23 Correct 530 ms 17508 KB Output is correct
24 Correct 499 ms 17340 KB Output is correct
25 Correct 486 ms 17344 KB Output is correct
26 Correct 497 ms 17344 KB Output is correct
27 Correct 505 ms 17340 KB Output is correct
28 Correct 495 ms 17488 KB Output is correct
29 Correct 491 ms 17332 KB Output is correct
30 Correct 495 ms 17340 KB Output is correct
31 Correct 495 ms 17460 KB Output is correct
32 Correct 491 ms 17336 KB Output is correct
33 Correct 501 ms 17436 KB Output is correct
34 Correct 512 ms 17552 KB Output is correct
35 Correct 510 ms 17464 KB Output is correct
36 Correct 535 ms 17512 KB Output is correct
37 Correct 548 ms 17508 KB Output is correct
38 Correct 541 ms 17444 KB Output is correct
39 Correct 495 ms 17336 KB Output is correct
40 Correct 492 ms 17508 KB Output is correct
41 Correct 488 ms 17344 KB Output is correct
42 Correct 487 ms 17340 KB Output is correct
43 Correct 487 ms 17544 KB Output is correct
44 Correct 484 ms 17336 KB Output is correct
45 Correct 488 ms 17468 KB Output is correct
46 Correct 492 ms 17512 KB Output is correct
47 Correct 488 ms 17472 KB Output is correct
48 Correct 501 ms 17512 KB Output is correct
49 Correct 515 ms 17692 KB Output is correct
50 Correct 503 ms 17460 KB Output is correct