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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#686540 | #9520. Concave Hull | SGColin | AC ✓ | 57ms | 10484kb | C++20 | 3.1kb | 2024-10-29 14:08:34 | 2024-10-30 01:35:29 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef tuple<int, int, int> tii;
inline int rd() {
int x = 0;
bool f = 0;
char c = getchar();
for (; !isdigit(c); c = getchar()) f |= (c == '-');
for (; isdigit(c); c = getchar()) x = x * 10 + (c ^ 48);
return f ? -x : x;
}
#define eb emplace_back
#define all(s) (s).begin(), (s).end()
#define rep(i, a, b) for (int i = (a); i <= (b); ++i)
#define per(i, a, b) for (int i = (a); i >= (b); --i)
typedef long long T;
struct P {
T x, y;
P (T x = 0, T y = 0) : x(x), y(y) {}
P operator + (const P &p) const {return {x + p.x, y + p.y};}
P operator - (const P &p) const {return {x - p.x, y - p.y};}
P operator * (const T &d) const {return {x * d, y * d};}
T operator | (const P &p) const {return x * p.x + y * p.y;}
T operator ^ (const P &p) const {return x * p.y - y * p.x;}
bool operator == (const P &p) const {return (x == p.x && y == p.y);}
bool operator < (const P &p) const {return x == p.x ? y < p.y : x < p.x;}
int ori(const P &p) const {T t = (*this) ^ p; return (t > 0) - (t < 0);}
} zero;
vector<P> convexHull(vector<P> p) {
if (p.size() < 3) return p;
vector<P> st;
sort(all(p));
const auto check = [&](const P &u) {
const auto back1 = st.back(), back2 = *prev(st.end(), 2);
return (back1 - back2).ori(u - back2) <= 0;
};
for (const P &u : p) {
while (st.size() > 1 && check(u)) st.pop_back();
st.push_back(u);
}
size_t k = st.size();
p.pop_back(); reverse(all(p));
for (const P &u : p) {
while (st.size() > k && check(u)) st.pop_back();
st.push_back(u);
}
st.pop_back();
return {st};
}
inline void work() {
int n = rd();
vector<P> p;
rep(i, 1, n) {int x = rd(), y = rd(); p.eb(x, y);}
vector<P> cov1 = convexHull(p);
if (cov1.size() == p.size()) {puts("-1"); return;}
ll tot = 0;
for (int i = 0; i < cov1.size(); ++i)
tot += (cov1[i] ^ cov1[i == cov1.size() - 1 ? 0 : i + 1]);
tot = abs(tot);
vector<P> tmp = cov1;
sort(all(tmp));
sort(all(p));
vector<P> q;
int ptr = 0;
for (auto pt : p) {
if (ptr < tmp.size() && tmp[ptr] == pt) {
++ptr; continue;
}
q.push_back(pt);
}
vector<P> cov2 = convexHull(q);
ll mn = 9e18;
ptr = 0;
P dir = cov1[1] - cov1[0];
rep(i, 0, cov2.size() - 1) {
ll nw = abs(dir ^ (cov2[i] - cov1[0]));
if (nw < mn) {mn = nw; ptr = i;}
}
rep(i, 0, cov1.size() - 1) {
dir = cov1[i == cov1.size() - 1 ? 0 : i + 1] - cov1[i];
ll nw = abs(dir ^ (cov2[ptr] - cov1[i]));
while (true) {
int nxt = (ptr == cov2.size() - 1 ? 0 : ptr + 1);
ll nxtv = abs(dir ^ (cov2[nxt] - cov1[i]));
if (nxtv >= nw) break;
nw = nxtv;
ptr = nxt;
}
mn = min(mn, nw);
}
printf("%lld\n", tot - mn);
}
int main() {
per(t, rd(), 1) work();
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3736kb
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: 4116kb
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: 19ms
memory: 4148kb
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: 28ms
memory: 3748kb
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: 44ms
memory: 4056kb
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: 30ms
memory: 4172kb
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: 22ms
memory: 6884kb
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: 57ms
memory: 10484kb
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: 54ms
memory: 9784kb
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: 3732kb
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