QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#691517 | #9520. Concave Hull | Qingyyx | AC ✓ | 33ms | 11028kb | C++20 | 6.0kb | 2024-10-31 11:48:02 | 2024-10-31 11:48:02 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define enl putchar('\n')
#define all(x) (x).begin(),(x).end()
#define debug(x) printf(" "#x":%d\n",x);
using namespace std;
const int MAXN = 1e5 + 5;
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const int mod = 998244353;
typedef pair<int, int> pii;
char buf[1 << 21], * p1 = buf, * p2 = buf, obuf[1 << 21], * o = obuf, of[35];
#define gc()(p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
inline ll qpow(ll a, ll n) { ll res = 1; while (n) { if (n & 1)res = res * a % mod; n >>= 1; a = a * a % mod; }return res; }
template <class T = int>inline T read() { T s = 0, f = 1; char c = gc(); for (; !isdigit(c); c = gc())if (c == '-')f = -1; for (; isdigit(c); c = gc())s = s * 10 + c - '0'; return s * f; }
inline void read(int* a, int n) { for (int i = 1; i <= n; ++i)a[i] = read(); }
inline int inal(char* s) { int n = 0; for (s[0] = gc(); !isalpha(s[0]); s[0] = gc()); for (; isalpha(s[n]); s[++n] = gc()); return s[n] = 0, n; }
inline int indi(char* s) { int n = 0; for (s[0] = gc(); !isdigit(s[0]); s[0] = gc()); for (; isdigit(s[n]); s[++n] = gc()); return s[n] = 0, n; }
inline void outd(auto* a, int n) { for (int i = 1; i <= n; ++i)printf("%d ", a[i]); enl; }
int n, m, q;
bool inC[MAXN];
int stk[MAXN], top;
struct Point {
ll x, y;
Point(ll x = 0, ll y = 0) :x(x), y(y) {}
Point operator -(const Point& b)const { return Point(x - b.x, y - b.y); }
Point operator +(const Point& b)const { return Point(x + b.x, y + b.y); }
Point operator *(ll k)const { return Point(x * k, y * k); }
ll operator ^(const Point& b)const { return x * b.y - y * b.x; }
ll operator *(const Point& b)const { return x * b.x + y * b.y; }
ll operator !()const { return sqrt(*this * *this); }
bool operator <(const Point& b) const { return y - b.y < 0 || (y - b.y == 0 && x - b.x < 0); }
bool operator ==(const Point& b)const { return !(*this < b) && !(b < *this); }
bool operator >(const Point& b)const { return b < *this; }
bool operator <=(const Point& b)const { return !(*this > b); }
bool operator >=(const Point& b)const { return !(*this < b); }
bool operator !=(const Point& b)const { return !(*this == b); }
Point operator /(ll k)const { return Point(x / k, y / k); }
ll operator ~()const { return atan2(y, x); }
Point operator -()const { return Point(-x, -y); }
ll len2()const { return x * x + y * y; }
ll len()const { return !*this; }
ll dis(const Point& b)const { return (*this - b).len(); }
ll dis2(const Point& b)const { return (*this - b).len2(); }
Point rotate(ll a)const { return Point(x * cos(a) - y * sin(a), x * sin(a) + y * cos(a)); }
Point rotate(ll a, const Point& o)const { return Point(x * cos(a) - y * sin(a) + o.x, x * sin(a) + y * cos(a) + o.y); }
Point unit()const { return *this / len(); }
ll sqr(const Point& b, const Point& c) {
return (b - *this) ^ (c - *this);
}
ll proj(const Point& b, const Point& c) {
return (b - *this) * (c - *this);
}
void rot90() { swap(x, y); x = -x; }
}a[MAXN];
struct polygon {
int n;
vector<Point>pt;
polygon(int _n = 0) :n(_n) { pt.resize(n); }
polygon(vector<Point> _pt) :pt(_pt) { n = pt.size(); }
void unit() {
Point lp = pt[0];
for (int i = 1; i < n; ++i)pt[i] = pt[i] - lp;
}
Point& operator[](const int& i) { return pt[i % n]; }
Point& back() { return pt.back(); }
ll area() {
ll res = 0;
for (int i = 0; i < n; ++i)
res += pt[i] ^ pt[(i + 1) % n];
return abs(res);
}
};
polygon Andrew() {
top = 0;
memset(inC + 1, 0, sizeof(bool) * n);
sort(a + 1, a + n + 1, [&](Point a, Point b) { return a.x < b.x || (a.x == b.x && a.y < b.y); });
for (int i = 1; i <= n; ++i) {
while (top > 1 && ((a[stk[top]] - a[stk[top - 1]]) ^ (a[i] - a[stk[top]])) < 0)
inC[stk[top--]] = 0;
stk[++top] = i;
inC[i] = 1;
}
inC[1] = 0;
int t = top;
for (int i = n - 1; i >= 1; --i) {
if (inC[i]) continue;
while (top > t && ((a[stk[top]] - a[stk[top - 1]]) ^ (a[i] - a[stk[top]])) < 0)
inC[stk[top--]] = 0;
stk[++top] = i;
inC[i] = 1;
}
if (!top) return polygon();
if (top == 1) return polygon({a[1]});
static bool vis[MAXN];
polygon res(top - 1);
for (int i = 1; i <= top; ++i) {
vis[stk[i]] = 1;
res[i - 1] = a[stk[i]];
}
for (int i = 1, j = 1; i <= n; ++i) {
if (vis[i]) continue;
a[j++] = a[i];
}
n -= top - 1;
for (int i = 1; i <= top; ++i) vis[stk[i]] = 0;
return res;
}
void solve() {
n = read();
for (int i = 1; i <= n; ++i) {
a[i].x = read(), a[i].y = read();
}
polygon A = Andrew();
polygon B = Andrew();
if (A.n < 3 || B.n == 0) return cout << "-1\n", void();
ll sum = A.area(), ans = INF;
if (B.n < 3) {
for (auto p : B.pt)
for (int i = 0; i < A.n; ++i)
ans = min(ans, abs(p.sqr(A[i], A[i + 1])));
return cout << sum - ans << '\n', void();
}
int p = 0;
for (int i = 0; i < B.n; ++i)
if (abs(B[p].sqr(A[0], A[1])) > abs(B[i].sqr(A[0], A[1]))) p = i;
for (int i = 0; i < A.n; ++i) {
while (abs(B[p].sqr(A[i], A[i + 1])) > abs(B[p + 1].sqr(A[i], A[i + 1]))) p++;
ans = min(ans, abs(B[p].sqr(A[i], A[i + 1])));
}
cout << sum - ans << '\n';
}
signed main(signed argc, char const* argv[]) {
clock_t c1 = clock();
#ifdef LOCAL
freopen("in.in", "r", stdin);
freopen("out.out", "w", stdout);
#endif
//=============================================================
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int TxT = read();
while (TxT--)
solve();
//=============================================================
#ifdef LOCAL
end :
cerr << "Time Used:" << clock() - c1 << "ms" << endl;
#endif
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: 8936kb
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: 8312kb
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: 13ms
memory: 9892kb
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: 13ms
memory: 9840kb
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: 28ms
memory: 10072kb
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: 16ms
memory: 9960kb
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: 12ms
memory: 10368kb
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: 32ms
memory: 10208kb
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: 33ms
memory: 11028kb
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: 9412kb
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