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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#173719#5433. Absolute DifferenceaestheticWA 4ms3824kbC++202.5kb2023-09-10 01:25:062023-09-10 01:25:06

Judging History

你现在查看的是最新测评结果

  • [2023-09-10 01:25:06]
  • 评测
  • 测评结果:WA
  • 用时:4ms
  • 内存:3824kb
  • [2023-09-10 01:25:06]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

vector<pair<int, int>> split(const vector<pair<int, int>> &v, const vector<int> &pos)
{
	vector<pair<int, int>> ret;
	for(auto[l, r] : v)
	{
		if(l == r)
		{
			ret.emplace_back(l, r);
			continue;
		}
		int last = l;
		auto it = upper_bound(pos.begin(), pos.end(), l);
		while(it != pos.end() && (*it) <= r)
		{
			ret.emplace_back(last, *it);
			last = *it;
			it++;
		}
	}
	return ret;
}

long double f(int l1, int r1, int l2, int r2)
{
	if(l1 == l2 && r1 == r2)
	{
		return (r1 - l1) / 3.0L;
	}
	if(r1 <= l2 || r2 <= l1)
	{
		long double E1 = (l1 + r1) / 2.0L;
		long double E2 = (l2 + r2) / 2.0L;
		return abs(E1 - E2);
	}
	return 0;
}

int main()
{
	ios_base::sync_with_stdio(false), cin.tie(NULL);
	int n, m;
	cin >> n >> m;
	vector<pair<int, int>> a(n), b(m);
	int tota = 0, totb = 0;
	for(int i = 0; i < n; ++i)
	{
		cin >> a[i].first >> a[i].second;
		tota += (a[i].second - a[i].first);
	}
	for(int i = 0; i < m; ++i)
	{
		cin >> b[i].first >> b[i].second;
		totb += (b[i].second - b[i].first);
	}
	vector<int> pos;
	for(auto[l, r] : a)
		pos.push_back(l), pos.push_back(r);
	for(auto[l, r] : b)
		pos.push_back(l), pos.push_back(r);
	sort(pos.begin(), pos.end());
	pos.erase(unique(pos.begin(), pos.end()), pos.end());

	a = split(a, pos);
	b = split(b, pos);
	n = a.size();
	m = b.size();

	sort(a.begin(), a.end());
	sort(b.begin(), b.end());
	
	vector<long double> pref_prob(m), pref_exp(m);
	for(int i = 0; i < m; ++i)
	{
		auto [l2, r2] = b[i];
		long double E2 = (l2 + r2) / 2.0L;
		long double prob2 = 1.0L / m;
		if(totb)
			prob2 = (r2 - l2) * 1.0L / totb;
		if(i == 0)
		{
			pref_prob[i] = prob2;
			pref_exp[i] = E2 * prob2;
		}
		else
		{
			pref_prob[i] = pref_prob[i - 1] + prob2;
			pref_exp[i] = pref_exp[i - 1] + E2 * prob2;
		}
	}

	long double ans = 0;
	for(int i = 0; i < n; ++i)
	{
		auto [l1, r1] = a[i];
		long double prob1 = 1.0L / n;
		long double E1 = (l1 + r1) / 2.0L;
		if(tota)
			prob1 = (r1 - l1) * 1.0L / tota;
		int jj = lower_bound(b.begin(), b.end(), make_pair(l1, -1)) - b.begin();
		if(jj > 0)
			ans += prob1 * (pref_prob[jj - 1] * E1 - pref_exp[jj - 1]);
		for(int j = jj; j < m; ++j)
		{
			auto [l2, r2] = b[j];
			long double prob2 = 1.0L / m;
			if(totb)
				prob2 = (r2 - l2) * 1.0L / totb;
		
			ans += prob1 * prob2 * f(l1, r1, l2, r2);
		}
	}

	cout << setprecision(20) << fixed << ans << endl;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3640kb

input:

1 1
0 1
0 1

output:

0.33333333333333333334

result:

ok found '0.333333333', expected '0.333333333', error '0.000000000'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

1 1
0 1
1 1

output:

0.50000000000000000000

result:

ok found '0.500000000', expected '0.500000000', error '0.000000000'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

1 1
-1000000000 1000000000
-1000000000 1000000000

output:

666666666.66666666668606922030

result:

ok found '666666666.666666627', expected '666666666.666666627', error '0.000000000'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

1 1
-1000000000 0
0 1000000000

output:

1000000000.00000000000000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

1 1
-1000000000 -1000000000
-1000000000 1000000000

output:

1000000000.00000000000000000000

result:

ok found '1000000000.000000000', expected '1000000000.000000000', error '0.000000000'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

1 1
-999999999 1000000000
-1000000000 -1000000000

output:

1000000000.50000000000000000000

result:

ok found '1000000000.500000000', expected '1000000000.500000000', error '0.000000000'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

1 1
-1000000000 1000000000
-999999999 -999999999

output:

999999999.00000000046566128731

result:

ok found '999999999.000000000', expected '999999999.000000000', error '0.000000000'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1 1
1000000000 1000000000
-1000000000 -1000000000

output:

2000000000.00000000000000000000

result:

ok found '2000000000.000000000', expected '2000000000.000000000', error '0.000000000'

Test #9:

score: -100
Wrong Answer
time: 4ms
memory: 3784kb

input:

1000 1000
-2175 -2174
-1068 -1065
-1721 -1718
777 834
1162 1169
-3529 -3524
3966 3993
1934 1952
-234 -223
-4967 -4947
8500 8510
5272 5276
-6048 -6033
-34 -22
700 705
-7890 -7886
5538 5543
4114 4126
-9201 -9162
-1521 -1519
-5103 -5100
439 441
993 997
-1684 -1680
-8413 -8404
6724 6728
-3242 -3239
2616...

output:

6717.11590519283488065483

result:

wrong answer 1st numbers differ - expected: '6717.1171457', found: '6717.1159052', error = '0.0000002'