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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#696536#9520. Concave HullWillisAC ✓120ms16216kbC++205.5kb2024-10-31 23:13:182024-10-31 23:13:18

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 23:13:18]
  • 评测
  • 测评结果:AC
  • 用时:120ms
  • 内存:16216kb
  • [2024-10-31 23:13:18]
  • 提交

answer

#ifdef local
#pragma GCC optimize(1)
#pragma GCC optimize(2)
#pragma GCC optimize(3)
#endif
// #pragma comment(linker, "/STACK:102400000,102400000")

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <climits>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>

#ifndef local
#define endl '\n'
#endif

#define pb emplace_back
#define fi first
#define se second
#define rep(i, l, r) for (long long i = l; i <= r; i++)
#define IOS ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define mem(a, x) memset(a, x, sizeof(a))
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef double db;
typedef pair<ll, ll> P;
typedef pair<P, ll> PP;
const double pi = acos(-1);
typedef __int128_t int128;
const db eps = 1e-9;
std::mt19937_64 rng(time(0));
ll my_random(ll l, ll r)
{

	uniform_int_distribution<int> range(l, r);
	return range(rng);
}
void __()
{
#ifdef local
	system("pause");
#endif
}
ll qp(ll a, ll b, ll mod)
{
	ll ans = 1;
	while (b)
	{
		if (b & 1)
			ans = ans * a % mod;
		a = a * a % mod;
		b >>= 1;
	}
	return ans;
}

const int maxn = 1e5 + 10;

int n;

struct Point
{
	ll x, y;
	Point() {}
	Point(db _x, db _y) : x(_x), y(_y) {}
	Point operator+(const Point &t) const
	{
		return Point(x + t.x, y + t.y);
	}
	Point operator-(const Point &t) const
	{
		return Point(x - t.x, y - t.y);
	}
	ll operator*(const Point &t) const
	{
		// 叉积
		return x * t.y - y * t.x;
	}
	ll operator^(const Point &t) const
	{
		// 点积
		return x * t.x + y * t.y;
	}
	bool operator==(const Point &t) const
	{
		return (x - t.x) == 0 && (y - t.y) == 0;
	}
	bool operator!=(const Point &t) const
	{
		return !((*this) == t);
	}
	db len() const
	{
		return sqrt(x * x + y * y);
	}
};

Point p[maxn], p2[maxn];
set<P> st;
Point c1[maxn], c2[maxn];
Point areap[10];

struct Line
{
	Point s, e;
	Line() {}
	Line(Point _s, Point _e) : s(_s), e(_e) {}
	db disToSegment(const Point &t) const
	{
		return {abs(1.0 * ((t - s) * (e - s)) / (e - s).len())};
	}
};

ll area(Point p[], int n)
{
	ll sum = 0;
	p[n + 1] = p[1];
	for (int i = 1; i <= n; i++)
		sum += p[i + 1] * p[i];
	p[n + 1] = Point();
	return abs(sum);
}

void convex_hull(Point p[], Point c[], int n, int &num)
{
	// O(nlogn),c为凸包,起始点只包含一次
	// 凸包存在c中, 凸包大小为num
	num = 0;
	auto cmp = [](Point &p, Point &q)
	{
		return p.x == q.x ? (p.y < q.y) : (p.x < q.x);
	};
	sort(p + 1, p + n + 1, cmp);
	c[1] = p[1];
	num = 1;
	for (int i = 2; i <= n; i++)
	{
		while (num > 1 && ((c[num] - p[i]) * (c[num] - c[num - 1])) <= 0)
			num--;
		num++, c[num] = p[i];
	}
	int tmp = num;
	for (int i = n - 1; i >= 1; i--)
	{
		while (num > tmp && ((c[num] - p[i]) * (c[num] - c[num - 1])) <= 0)
			num--;
		num++, c[num] = p[i];
	}
	if (num > 1)
		c[num] = Point(0, 0), num--;
}

int main()
{
	IOS;
	int _;
	cin >> _;
	for (int _1 = 1; _1 <= _; _1++)
	{
		st.clear();
		cin >> n;
		for (int i = 1; i <= n + 5; i++)
			c1[i] = c2[i] = p[i] = p2[i] = Point();
		for (int i = 1; i <= n; i++)
		{
			cin >> p[i].x >> p[i].y;
			st.insert(P{p[i].x, p[i].y});
		}
		int num1 = 0;
		convex_hull(p, c1, n, num1);
		ll ans = area(c1, num1);
		// cout << num1 << " " << ans << endl;
		for (int i = 1; i <= num1; i++)
			st.erase(P{c1[i].x, c1[i].y});
		// for (int i = 1; i <= num1; i++)
		//{
		//	cout << c1[i].x << " " << c1[i].y << endl;
		// }
		// cout << "YYY" << endl;
		if (st.size() == 0)
		{
			cout << -1 << endl;
			continue;
		}
		int cnt = 0;
		for (auto x : st)
		{
			p2[++cnt] = Point(x.fi, x.se);
		}

		int num2 = 0;
		convex_hull(p2, c2, cnt, num2);
		// cout << "XXX " << num2 << endl;
		// for (int i = 1; i <= num2; i++)
		//{
		//	cout << c2[i].x << " " << c2[i].y << endl;
		// }
		// cout << "YYY" << endl;
		int flag = 1;
		Line l = Line(c1[1], c1[2]);
		for (int i = 1; i <= num2; i++)
			if (l.disToSegment(c2[i]) < l.disToSegment(c2[flag]))
				flag = i;
		areap[1] = c1[1], areap[2] = c1[2], areap[3] = c2[flag];
		// cout << "XXX " << flag << " " << c1[1].x << " " << c1[1].y << " " << c1[2].x << " " << c1[2].y << " " << c2[flag].x << " " << c2[flag].y << endl;
		ll bns = area(areap, 3);
		for (int i = 2; i <= num1; i++)
		{
			Line l = Line(c1[i], c1[(i == num1 ? 1 : i + 1)]);
			// cout << i << " " << (i == num1 ? 1 : i + 1) << endl;
			while (l.disToSegment(c2[flag]) - l.disToSegment(c2[flag == num2 ? 1 : flag + 1]) > 1e-9)
			{
				// cout << "XX " << flag<<" "<<num2 <<" "<<l.disToSegment(c2[flag == num2 ? 1 : num2 + 1]) <<" "<<l.disToSegment(c2[flag]) << endl;
				flag++;
				if (flag == num2 + 1)
					flag = 1;
			}
			areap[1] = c1[i], areap[2] = c1[(i == num1 ? 1 : i + 1)], areap[3] = c2[flag];
			// cout << "XXX " << flag << " " << c1[i].x << " " << c1[i].y << " " << c1[(i == num1 ? 1 : i + 1)].x << " " << c1[(i == n ? 1 : i + 1)].y << " " << c2[flag].x << " " << c2[flag].y << endl;
			bns = min(bns, area(areap, 3));
			// cout << "X  " << bns << endl;
		}
		// cout << ans << " " << bns << endl;
		cout << ans - bns << endl;
	}
	__();
	return 0;
}
/*
1
8
0 0
4 0
0 4
4 4
1 2
2 1
2 3
3 2
*/

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 7812kb

input:

2
6
-2 0
1 -2
5 2
0 4
1 2
3 1
4
0 0
1 0
0 1
1 1

output:

40
-1

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 7780kb

input:

10
243
-494423502 -591557038
-493438474 -648991734
-493289308 -656152126
-491185085 -661710614
-489063449 -666925265
-464265894 -709944049
-447472922 -737242534
-415977509 -773788538
-394263365 -797285016
-382728841 -807396819
-373481975 -814685302
-368242265 -818267002
-344482838 -833805545
-279398...

output:

2178418010787347715
1826413114144932145
1651687576234220014
1883871859778998985
2119126281997959892
894016174881844630
2271191316922158910
1998643358049669416
1740474221286618711
1168195646932543192

result:

ok 10 lines

Test #3:

score: 0
Accepted
time: 36ms
memory: 7828kb

input:

1000
125
64661186 -13143076
302828013 -185438065
-418713797 -191594241
430218126 -397441626
354327250 -836704374
149668812 -598584998
311305970 66790541
199720625 -592356787
468137 -584752683
258775829 96211747
-358669612 -134890109
-129221188 -998432368
-277309896 -140056561
356901185 420557649
-51...

output:

1986320445246155278
1900093336073022078
1612088392301142476
2012259136539173407
1819942017252118749
1772230185841892196
1164835025329039520
1527446155241140517
1807368432185303666
1236918659444944569
1306839249967484778
1984123720246784099
1868728080720036006
667458140583450322
2127932992585026491
4...

result:

ok 1000 lines

Test #4:

score: 0
Accepted
time: 47ms
memory: 7764kb

input:

10000
9
484630042 51929469
-40468396 -517784096
98214104 -103353239
629244333 -475172587
106398764 153884485
49211709 -44865749
1 10
166321833 -247717657
406208245 668933360
13
548702216 -631976459
37150086 -292461024
707804811 -486185860
239775286 -903166050
10096571 -541890068
686103484 558731937
...

output:

950319193795831919
1661025342421008544
1285164852091455548
1159924751776806668
1206071151805176722
794021230296144371
699991678992587791
1133990718508584290
1486311831172661605
984875884297072200
1327767982175057345
758247019006396699
1355381234262206155
1139262078529131471
1613462877860621700
12392...

result:

ok 10000 lines

Test #5:

score: 0
Accepted
time: 80ms
memory: 8704kb

input:

100
439
471536154 -312612104
155692036 -937312180
-461624056 -357636609
236656684 -911414873
-288656914 -74788431
-465779694 -381475149
-334197401 -903065737
491513067 -447615916
337664889 -852236281
-281689379 -53519178
-159101704 -920779200
-326159514 -95396204
21868593 -994282736
488425383 -41046...

output:

1973162724053130487
2054612790507830954
1726805687754843724
1699420177872986528
2129388571309147631
2198295137903288810
1697185883164440272
1219697450095721478
2027023581922285255
1674691247127206655
1673105966817209954
2179188692918747442
2146544318743443141
2230356305133660648
1676850321902993764
...

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 66ms
memory: 8744kb

input:

100
1362
-467257672 -466669
-467054869 -478108
-466973270 -481776
-466556983 -499770
-466329414 -508693
-466248017 -511805
-466158865 -513786
-466101273 -515035
-465927700 -518748
-465717624 -522106
-465303448 -528127
-465124548 -530726
-464649746 -536693
-464554872 -537799
-464478196 -538680
-46416...

output:

1666097696993497
1791366071767866
1806187278469532
1683419854733713
1685891971828916
1730190225081651
1787048201197565
1850308098208660
1710694884375502
1826363113637639
1816375352374659
2047431269497691
1549806516003854
1829438662895747
1678707854135065
1687423392883819
2121960009997761
16687219538...

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 31ms
memory: 12908kb

input:

2
62666
-486101704 -505730259
-486101698 -506082699
-486101689 -506111362
-486101682 -506126031
-486101528 -506293759
-486101259 -506556385
-486101196 -506613483
-486101154 -506648604
-486100935 -506831392
-486100631 -507083675
-486100470 -507199151
-486100233 -507368923
-486100193 -507397039
-48609...

output:

2178736946152219010
1825181940245096152

result:

ok 2 lines

Test #8:

score: 0
Accepted
time: 103ms
memory: 16216kb

input:

2
100000
301945097 76373292
467957663 -286424714
8245445 -597212507
-474204621 -708828667
184159460 105942538
443435905 -429212625
490658771 -382198656
82512047 -612522436
-228221388 -965890088
394789011 -145801151
-106120174 -528202395
428939626 -194437311
497429477 -527407728
365739746 -114818962
...

output:

2502889432701099511
2267250485735988121

result:

ok 2 lines

Test #9:

score: 0
Accepted
time: 120ms
memory: 16160kb

input:

2
100000
221128057 -975244780
-618765360 -785575858
422567455 -906331476
-988680318 -150037424
-929870145 367887908
-757813541 -652471177
291995621 -956419655
-785381507 619012026
468864522 -883270094
-588416522 808557973
859345881 511394814
988105866 153775152
216931298 -976186873
467050734 8842305...

output:

6283183114882825575
6283183188903854361

result:

ok 2 lines

Test #10:

score: 0
Accepted
time: 1ms
memory: 7808kb

input:

7
5
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
1 0
-1 0
5
1000000000 1000000000
-1000000000 -1000000000
-2 0
-1 0
1 -1
6
1000000000 1000000000
-1000000000 -1000000000
-3 0
-1 0
0 -1
1 -1
4
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
-1000000000 1000...

output:

4000000000000000000
7000000000
9000000001
-1
6000000002000000000
7999999998000000000
-1

result:

ok 7 lines

Extra Test:

score: 0
Extra Test Passed