QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#714506 | #9520. Concave Hull | 0x3fffffff | AC ✓ | 48ms | 9284kb | C++23 | 5.5kb | 2024-11-05 23:43:20 | 2024-11-05 23:43:21 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using point_t = long long;
//using point_t = long double; //全局数据类型
constexpr point_t eps = 1e-8;
constexpr point_t INF = numeric_limits<point_t>::max();
constexpr long double PI = 3.1415926535897932384l;
// 点与向量
template<typename T>
struct point {
T x, y;
bool operator==(const point& a) const { return (abs(x - a.x) <= eps && abs(y - a.y) <= eps); }
bool operator<(const point& a) const { if (abs(x - a.x) <= eps) return y < a.y - eps; return x < a.x - eps; }
bool operator>(const point& a) const { return !(*this < a || *this == a); }
point operator+(const point& a) const { return { x + a.x,y + a.y }; }
point operator-(const point& a) const { return { x - a.x,y - a.y }; }
point operator-() const { return { -x,-y }; }
point operator*(const T k) const { return { k * x,k * y }; }
point operator/(const T k) const { return { x / k,y / k }; }
T operator*(const point& a) const { return x * a.x + y * a.y; } // 点积
T operator^(const point& a) const { return x * a.y - y * a.x; } // 叉积,注意优先级
int toleft(const point& a) const { const auto t = (*this) ^ a; return (t > eps) - (t < -eps); } // to-left 测试
T len2() const { return (*this) * (*this); } // 向量长度的平方
T dis2(const point& a) const { return (a - (*this)).len2(); } // 两点距离的平方
// 涉及浮点数
long double len() const { return sqrtl(len2()); } // 向量长度
long double dis(const point& a) const { return sqrtl(dis2(a)); } // 两点距离
long double ang(const point& a) const { return acosl(max(-1.0l, min(1.0l, ((*this) * a) / (len() * a.len())))); } // 向量夹角
point rot(const long double rad) const { return { x * cos(rad) - y * sin(rad),x * sin(rad) + y * cos(rad) }; } // 逆时针旋转(给定角度)
point rot(const long double cosr, const long double sinr) const { return { x * cosr - y * sinr,x * sinr + y * cosr }; } // 逆时针旋转(给定角度的正弦与余弦)
};
using Point = point<point_t>;
LL cross(Point a, Point b, Point c) { //叉积
return (b.x - a.x) * (c.y - a.y) - (b.y - a.y) * (c.x - a.x);
}
int t = 0;
vector<int>convex(vector<Point>& p) {
sort(p.begin() + 1, p.end());
int n = p.size() - 1;
if (n == 1) {
t = 1;
return { 0,1 };
}
if (n == 2) {
t = 2;
return { 0,1,2 };
}
vector<int>s(n + 10);
t = 0;
for (int i = 1;i <= n;i++) {
while (t > 1 and cross(p[s[t - 1]], p[s[t]], p[i]) <= 0) {
t--;
}
s[++t] = i;
}
int k = t;
for (int i = n - 1;i >= 1;i--) {
while (t > k and cross(p[s[t - 1]], p[s[t]], p[i]) <= 0) {
t--;
}
s[++t] = i;
}
t--;
return s;
}
void solve() {
int n;
cin >> n;
vector<Point>a(n + 1);
for (int i = 1;i <= n;i++) {
cin >> a[i].x >> a[i].y;
}
vector<Point>b, wd, nd;
b.push_back({ 0,0 });
auto s = convex(a);
if (t == n || n <= 3) {
cout << "-1\n";return;
}
vector<int>vis(n + 1);
for (int i = 1;i <= t;i++) {
vis[s[i]] = 1;
wd.push_back(a[s[i]]);
}
for (int i = 1;i <= n;i++) {
if (!vis[i])b.push_back(a[i]);
}
s = convex(b);
for (int i = 1;i <= t;i++) {
nd.push_back(b[s[i]]);
}
LL sum = 0, ans = INF;
int wn = wd.size(), nn = nd.size();
for (int i = 1;i < wn - 1;i++) {
sum += (wd[i] - wd[0]) ^ (wd[i + 1] - wd[0]);
}
auto nxtj = [&](int x, int t = 1) {
return (x + t) % nn;
};
auto nxti = [&](int x, int t = 1) {
return (x + t) % wn;
};
// for (auto [x, y] : wd) {
// cout << x << " " << y << "\n";
// }
// cout << "\n";
// for (auto [x, y] : nd) {
// cout << x << " " << y << "\n";
// }
for (int i = 0, j = 0;i < wn;i++) {
for (;;) {
LL cur = cross(wd[i], wd[nxti(i)], nd[j]);
LL ne = cross(wd[i], wd[(nxti(i))], nd[nxtj(j)]);
ans = min({ ans,cur,ne });
if (ne >= cur)break;
j = nxtj(j);
}
}
// auto [x, y] = wd[3];
// cout << x << " " << y << "\n";
// cout << sum << "\n";
// for (int i = 0, j = 0;i < wn;i++) {
// while (cross(nd[j], wd[i], wd[nxti(i)]) >= cross(nd[nxtj(j)], wd[i], wd[nxti(i)]))j = nxtj(j);
// // cerr << i << " " << nxti(i) << "\n";
// // cerr << i << " " << j << "\n\n";
// // cerr << cross(nd[j], wd[i], wd[nxti(i)]) << "\n";
// // cerr << cross(nd[nxtj(j)], wd[i], wd[nxti(i)]) << "\n\n";
// // cerr << wd[i] << " " << wd[nxti(i)] << "\n";
// // auto [x, y] = wd[i];
// // auto [xz, zy] = wd[nxti(i)];
// // auto [xx, yy] = nd[j];
// ans = max(ans, sum - cross(nd[j], wd[i], wd[nxti(i)]));
// }
cout << sum - ans << "\n";
// for (int i = 1;i <= t;i++) {
// nd.push_back(b[s[i]]);
// }
// for (auto [x, y] : wd) {
// cout << x << " " << y << "\n";
// }
// cout << "\n";
// for (auto [x, y] : nd) {
// cout << x << " " << y << "\n";
// }
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
int T = 1;
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif
cin >> T;
while (T--)
solve();
return 0;
}
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: 1ms
memory: 3600kb
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: 0ms
memory: 3556kb
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: 18ms
memory: 3868kb
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: 34ms
memory: 3616kb
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: 48ms
memory: 4080kb
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: 37ms
memory: 3800kb
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: 19ms
memory: 6524kb
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: 47ms
memory: 9284kb
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: 44ms
memory: 8168kb
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: 0ms
memory: 3752kb
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