QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#696536 | #9520. Concave Hull | Willis | AC ✓ | 120ms | 16216kb | C++20 | 5.5kb | 2024-10-31 23:13:18 | 2024-10-31 23:13:18 |
Judging History
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