Submission #917495

# Submission time Handle Problem Language Result Execution time Memory
917495 2024-01-28T10:26:51 Z petar_vitorac Palembang Bridges (APIO15_bridge) C++11
100 / 100
72 ms 7760 KB
#include <bits/stdc++.h>

using namespace std;

int B, N;
vector<pair<int, int> > P;

namespace subtask1
{
	long long solve()
	{
		vector<pair<int, int> > p = P;
		int n = p.size();
		if (n == 0) return 0;
		long long ans = 1e18;
		for (int i = 0; i < n; ++i)
		{
			long long tmp1 = 0, tmp2 = 0;
			for (int j = 0; j < n; ++j)
			{
				tmp1 += abs(p[i].first - p[j].first) + abs(p[i].first - p[j].second);
				tmp2 += abs(p[i].second - p[j].first) + abs(p[i].second - p[j].second);
			}
			ans = min(ans, min(tmp1, tmp2));
		}
		return ans + n;
	}

	bool satisfies()
	{
		return B == 1 && 1 <= N && N <= 1000;
	}
}

namespace subtask2
{
	long long solve()
	{
		long long ans = 0;
		vector<int> x;
		int n = P.size();
		if (n == 0) return 0;
		for (int i = 0; i < n; ++i)
		{
			x.push_back(P[i].first);
			x.push_back(P[i].second);
			ans -= P[i].first + P[i].second;
		}
		sort(x.begin(), x.end());
		for (int i = 2 * n - 1; i >= n; --i)
			ans += 2 * x[i];
		return ans + n;
	}

	bool satisfies()
	{
		return B == 1 && 1 <= N && N <= 100000;
	}
}

namespace subtask3
{
	long long solve()
	{
		long long ans = 1e18;
		int n = P.size();

		if (n == 0) return 0;

		vector<int> p;

		for (int i = 0; i < n; ++i)
		{
			p.push_back(P[i].first);
			p.push_back(P[i].second);
		}

		for (int i = 0; i < 2 * n; ++i)
			for (int j = 0; j < 2 * n; ++j)
			{
				long long tmp = 0;
				for (int k = 0; k < n; ++k)
				{
					int v1 = abs(P[k].first - p[i]) + abs(P[k].second - p[i]);
					int v2 = abs(P[k].first - p[j]) + abs(P[k].second - p[j]);
					tmp += min(v1, v2);
				}
				ans = min(ans, tmp);
			}
		return ans + n;
	}

	bool satisfies()
	{
		return B == 2 && 1 <= N && N <= 100;
	}
}

namespace subtask4
{
	bool cmp(pair<int, int> a, pair<int, int> b)
	{
		return (a.first + a.second) < (b.first + b.second);
	}

	long long compute(vector<pair<int, int> > P)
	{
		long long ans = 0;
		vector<int> x;
		int n = P.size();
		if (n == 0) return 0;
		for (int i = 0; i < n; ++i)
		{
			x.push_back(P[i].first);
			x.push_back(P[i].second);
			ans -= P[i].first + P[i].second;
		}
		sort(x.begin(), x.end());
		for (int i = 2 * n - 1; i >= n; --i)
			ans += 2 * x[i];
		return ans + n;
	}

	long long solve()
	{
		long long ans = subtask2::solve();
		int n = P.size();
		if (n == 0) return 0;

		vector<pair<int, int> > p = P;
		sort(p.begin(), p.end(), cmp);

		for (int i = 1; i <= n; ++i)
		{
			ans = min(ans,
				compute(vector<pair<int, int> >(p.begin(), p.begin() + i)) +
				compute(vector<pair<int, int> >(p.begin() + i, p.end())));
		}
		return ans;
	}

	bool satisfies()
	{
		return B == 2 && 1 <= N && N <= 1000;
	}
}

namespace subtask5
{
	vector<pair<int, int> > p;
	int n;

	bool cmp(pair<int, int> a, pair<int, int> b)
	{
		return (a.first + a.second) < (b.first + b.second);
	}

	vector<long long> compute()
	{
		priority_queue<int> max_heap;
		priority_queue<int, vector<int>, greater<int> > min_heap;
		long long sumMax = p[0].first, sumMin = p[0].second;

		max_heap.push(p[0].first);
		min_heap.push(p[0].second);
		
		vector<long long> tmp;
		tmp.push_back(sumMin - sumMax);

		for (int i = 1; i < n; ++i)
		{
			int m = max_heap.top();
			int M = min_heap.top();
			int A = p[i].first, B = p[i].second;
			if (A <= m && B <= m)
			{
				max_heap.pop();
				max_heap.push(A);
				max_heap.push(B);
				min_heap.push(m);
				sumMax += A + B - m;
				sumMin += m;
			}
			else
			if (A >= M && B >= M)
			{
				min_heap.pop();
				min_heap.push(A);
				min_heap.push(B);
				max_heap.push(M);
				sumMin += A + B - M;
				sumMax += M;
			}
			else
			{
				max_heap.push(A);
				min_heap.push(B);
				sumMax += A;
				sumMin += B;
			}
			tmp.push_back(sumMin - sumMax);
		}
		return tmp;
	}

	long long solve()
	{
		p = P;
		sort(p.begin(), p.end(), cmp);
		n = p.size();
		if (n == 0) return 0;
		
		vector<long long> val1n = compute();
		reverse(p.begin(), p.end());
		vector<long long> valn1 = compute();

		long long ans = 1e18;
		for (int i = 0; i < n - 1; ++i)
			ans = min(ans, val1n[i] + valn1[n - i - 2]);
		return min(ans + n, subtask2::solve());
	}

	bool satisfies()
	{
		return B == 2 && 1 <= N && N <= 100000;
	}
}

function<bool()> validators[] =
{
	subtask1::satisfies,
	subtask2::satisfies,
	subtask3::satisfies,
	subtask4::satisfies,
	subtask5::satisfies,
};

function<long long()> solvers[] =
{
	subtask1::solve,
	subtask2::solve,
	subtask3::solve,
	subtask4::solve,
	subtask5::solve
};

int main()
{
	scanf("%d %d", &B, &N);
	long long ans = 0;
	for (int i = 0; i < N; ++i)
	{
		char a[10], b[10];
		int s, e;
		scanf("%s %d %s %d", a, &s, b, &e);
		if (a[0] == b[0])
			ans += abs(e - s);
		else
			P.push_back(make_pair(min(s, e), max(s, e)));
	}
	vector<long long> answers;
	for (int i = 0; i < 5; ++i)
		if (validators[i]())
			answers.push_back(solvers[i]() + ans);

	sort(answers.begin(), answers.end());
	assert(answers.front() == answers.back());
	printf("%lld\n", answers[0]);
	return 0;
}

Compilation message

bridge.cpp: In function 'int main()':
bridge.cpp:249:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  249 |  scanf("%d %d", &B, &N);
      |  ~~~~~^~~~~~~~~~~~~~~~~
bridge.cpp:255:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  255 |   scanf("%s %d %s %d", a, &s, b, &e);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 3 ms 484 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 3 ms 348 KB Output is correct
10 Correct 3 ms 476 KB Output is correct
11 Correct 3 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 3 ms 480 KB Output is correct
9 Correct 3 ms 476 KB Output is correct
10 Correct 3 ms 348 KB Output is correct
11 Correct 3 ms 344 KB Output is correct
12 Correct 23 ms 3520 KB Output is correct
13 Correct 37 ms 5064 KB Output is correct
14 Correct 28 ms 3760 KB Output is correct
15 Correct 22 ms 2980 KB Output is correct
16 Correct 26 ms 4300 KB Output is correct
17 Correct 27 ms 5064 KB Output is correct
18 Correct 33 ms 4560 KB Output is correct
19 Correct 36 ms 4932 KB Output is correct
20 Correct 28 ms 4660 KB Output is correct
21 Correct 34 ms 4808 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 7 ms 348 KB Output is correct
4 Correct 8 ms 444 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 11 ms 348 KB Output is correct
8 Correct 13 ms 440 KB Output is correct
9 Correct 11 ms 348 KB Output is correct
10 Correct 11 ms 348 KB Output is correct
11 Correct 11 ms 348 KB Output is correct
12 Correct 11 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 10 ms 344 KB Output is correct
4 Correct 8 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 10 ms 440 KB Output is correct
8 Correct 11 ms 344 KB Output is correct
9 Correct 11 ms 348 KB Output is correct
10 Correct 11 ms 348 KB Output is correct
11 Correct 11 ms 348 KB Output is correct
12 Correct 11 ms 436 KB Output is correct
13 Correct 18 ms 348 KB Output is correct
14 Correct 62 ms 508 KB Output is correct
15 Correct 70 ms 348 KB Output is correct
16 Correct 2 ms 344 KB Output is correct
17 Correct 19 ms 344 KB Output is correct
18 Correct 10 ms 344 KB Output is correct
19 Correct 20 ms 348 KB Output is correct
20 Correct 18 ms 344 KB Output is correct
21 Correct 51 ms 344 KB Output is correct
22 Correct 19 ms 348 KB Output is correct
23 Correct 22 ms 344 KB Output is correct
24 Correct 18 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 436 KB Output is correct
3 Correct 7 ms 444 KB Output is correct
4 Correct 8 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 11 ms 348 KB Output is correct
8 Correct 11 ms 348 KB Output is correct
9 Correct 11 ms 348 KB Output is correct
10 Correct 11 ms 348 KB Output is correct
11 Correct 11 ms 440 KB Output is correct
12 Correct 11 ms 440 KB Output is correct
13 Correct 18 ms 488 KB Output is correct
14 Correct 63 ms 344 KB Output is correct
15 Correct 72 ms 436 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 19 ms 480 KB Output is correct
18 Correct 10 ms 348 KB Output is correct
19 Correct 20 ms 348 KB Output is correct
20 Correct 18 ms 348 KB Output is correct
21 Correct 51 ms 348 KB Output is correct
22 Correct 19 ms 344 KB Output is correct
23 Correct 19 ms 348 KB Output is correct
24 Correct 19 ms 528 KB Output is correct
25 Correct 37 ms 6088 KB Output is correct
26 Correct 48 ms 6336 KB Output is correct
27 Correct 65 ms 7096 KB Output is correct
28 Correct 68 ms 7692 KB Output is correct
29 Correct 67 ms 7644 KB Output is correct
30 Correct 35 ms 4064 KB Output is correct
31 Correct 32 ms 7100 KB Output is correct
32 Correct 51 ms 7760 KB Output is correct
33 Correct 38 ms 7364 KB Output is correct
34 Correct 65 ms 7708 KB Output is correct
35 Correct 43 ms 7260 KB Output is correct
36 Correct 61 ms 7356 KB Output is correct
37 Correct 31 ms 6084 KB Output is correct