QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#625586 | #7906. Almost Convex | fls | TL | 853ms | 3980kb | C++20 | 5.0kb | 2024-10-09 20:00:22 | 2024-10-09 20:00:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define qmx(a,b) a<b?b:a
#define qmn(a,b) a>b?b:a
#define int long long
#define fr first
#define se second
template <class T, class G>
struct BaseVector2 {
T x, y;
constexpr BaseVector2() : BaseVector2(T{}, T{}) {}
constexpr BaseVector2(T x, T y) : x{x}, y{y} {}
// 运算
constexpr BaseVector2 operator+(BaseVector2 a) const {
return BaseVector2(x + a.x, y + a.y);
}
constexpr BaseVector2 operator-(BaseVector2 a) const {
return BaseVector2(x - a.x, y - a.y);
}
constexpr BaseVector2 operator-() const {
return BaseVector2(-x, -y);
}
constexpr G operator*(BaseVector2 a) const {
return G(x) * a.x + G(y) * a.y;
}
constexpr G operator%(BaseVector2 a) const {
return G(x) * a.y - G(y) * a.x;
}
constexpr BaseVector2 rotate() const {
return BaseVector2(-y, x);
}
template<class Float>
constexpr BaseVector2 rotate(Float theta) const {
BaseVector2 b(cosl(theta), sinl(theta));
return BaseVector2(x * b.x - y * b.y,
x * b.y + y * b.x);
}
constexpr friend BaseVector2 operator*(const T &a, BaseVector2 b) {
return BaseVector2(a * b.x, a * b.y);
}
// 比较
constexpr bool operator<(BaseVector2 a) const {
if (x == a.x) {
return y < a.y;
}
return x < a.x;
}
constexpr bool operator>(BaseVector2 a) const {
if (x == a.x) {
return y > a.y;
}
return x > a.x;
}
constexpr bool operator<=(BaseVector2 a) const {
if (x == a.x) {
return y <= a.y;
}
return x <= a.x;
}
constexpr bool operator>=(BaseVector2 a) const {
if (x == a.x) {
return y >= a.y;
}
return x >= a.x;
}
constexpr bool operator==(BaseVector2 a) const {
return x == a.x and y == a.y;
}
constexpr bool operator!=(BaseVector2 a) const {
return x != a.x or y != a.y;
}
// 输入输出
friend std::istream &operator>>(std::istream &in, BaseVector2 &p) {
return in >> p.x >> p.y;
}
friend std::ostream &operator<<(std::ostream &ot, BaseVector2 p) {
return ot << '(' << p.x << ", " << p.y << ')';
}
};
template <class T, class G>
G dis2(BaseVector2<T, G> a, BaseVector2<T, G> b = BaseVector2<T, G>(0, 0)) {
BaseVector2<T, G> p = a - b;
return p * p;
}
template <class T, class G>
auto dis(BaseVector2<T, G> a, BaseVector2<T, G> b = BaseVector2<T, G>(0, 0)) {
return sqrtl(dis2(a, b));
}
template <class T, class G>
int sgn(BaseVector2<T, G> p) {
if (p.x < 0 or p.x == 0 and p.y > 0) {
return 1;
} else
return 0;
// 以41象限为先
}
template <class Vector>
bool polarCmp(Vector p, Vector q) {
if (sgn(p) == sgn(q)) {
if (p % q == 0) {
return dis2(p) < dis2(q);
} else {
return p % q > 0;
}
} else {
return sgn(p) < sgn(q);
}
}
using Point = BaseVector2<int, int>;
using Vector = Point;
using PS = std::vector<Point>;
PS convex(PS ps) {
std::sort(ps.begin(), ps.end());
ps.erase(std::unique(ps.begin(), ps.end()), ps.end());
const int n = ps.size();
if (n <= 1) {
return ps;
}
PS hull(n + 1);
int k = -1;
for (int i = 0; i < n; i++) {
while (k >= 1 and (hull[k] - hull[k - 1]) % (ps[i] - hull[k]) <= 0) {
k -= 1;
}
hull[++k] = ps[i];
}
for (int i = n - 2, m = k + 1; i >= 0; i--) {
while (k >= m and (hull[k] - hull[k - 1]) % (ps[i] - hull[k]) <= 0) {
k -= 1;
}
hull[++k] = ps[i];
}
assert(k >= 2);
return hull.resize(k), hull;
}
inline bool belong(Point x, PS &st){
for(auto pt : st){
if(pt == x)
return true;
}
return false;
}
inline PS calculate(PS &st, Point o){
PS res;
for(auto pt : st){
if(pt != o){
res.push_back(pt - o);
//cerr << pt - o << endl;
}
}
//cerr << endl;
return res;
}
const int mxn = 2e3+3;
int n, ans;
PS p, convex_p, dcp;
signed main(){
cin >> n;
p.resize(n);
for(int i = 0 ; i < n ; i++)
cin >> p[i];
convex_p = convex(p);
ans = 1;
for(int i = 0 ; i < n ; i++){
if(!belong(p[i], convex_p)){
dcp = calculate(p, p[i]);
sort(dcp.begin(), dcp.end(), polarCmp<Point>);
for(int j = 1 ; j < dcp.size() ; j++){
if(belong(dcp[j] + p[i], convex_p) && belong(dcp[j - 1] + p[i], convex_p))
ans++;
}
if(belong(dcp[dcp.size() - 1] + p[i], convex_p) && belong(dcp[0] + p[i], convex_p))
ans++;
}
}
cout << ans;
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3484kb
input:
7 1 4 4 0 2 3 3 1 3 5 0 0 2 4
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
5 4 0 0 0 2 1 3 3 3 1
output:
5
result:
ok 1 number(s): "5"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
6 0 0 3 0 3 2 0 2 1 1 2 1
output:
7
result:
ok 1 number(s): "7"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 371ms
memory: 3744kb
input:
2000 86166 617851 383354 -277127 844986 386868 -577988 453392 -341125 -386775 -543914 -210860 -429613 606701 -343534 893727 841399 339305 446761 -327040 -218558 -907983 787284 361823 950395 287044 -351577 -843823 -198755 138512 -306560 -483261 -487474 -857400 885637 -240518 -297576 603522 -748283 33...
output:
718
result:
ok 1 number(s): "718"
Test #7:
score: 0
Accepted
time: 359ms
memory: 3784kb
input:
2000 571314 -128802 -57762 485216 -713276 485201 -385009 -844644 371507 403789 338703 -272265 -913641 438001 -792118 -481524 709494 213762 -913577 432978 -397111 709021 840950 328210 -843628 452653 -20721 126607 -107804 -338102 930109 -89787 -949115 -76479 -862141 455623 991761 94852 -635475 625573 ...
output:
658
result:
ok 1 number(s): "658"
Test #8:
score: 0
Accepted
time: 348ms
memory: 3980kb
input:
2000 -510540 -289561 -602648 -189950 -403224 944455 -369582 -41334 358122 -598933 -817147 470207 -440180 -735160 -705634 61719 319062 897001 -905089 -755682 -408371 -520115 -423336 548115 -590242 835990 208155 883477 -202087 142035 -71545 411206 570690 -673204 -228451 -903435 -732876 -570271 -246755...
output:
309
result:
ok 1 number(s): "309"
Test #9:
score: 0
Accepted
time: 343ms
memory: 3756kb
input:
2000 -532115 566389 138405 49337 398814 -97324 116833 113216 381728 877609 222402 641022 109920 952381 -113880 395181 13780 -572931 -676608 605202 -74328 -503839 -207767 926500 -663270 -146303 197877 280349 275865 -663892 -630214 3286 973786 304855 -493735 841584 394901 -505975 757960 204724 -373328...
output:
239
result:
ok 1 number(s): "239"
Test #10:
score: 0
Accepted
time: 347ms
memory: 3724kb
input:
2000 512636 509804 -661126 -592269 755566 -721837 -878213 441853 -236050 -89069 -181220 155656 203391 691764 940154 260513 747075 373881 620423 840991 -409624 335472 270937 -710659 -751290 -673585 250341 -193243 -250535 618887 -739996 543936 -547741 -213681 -82920 -364319 -611672 737719 930798 46731...
output:
1025
result:
ok 1 number(s): "1025"
Test #11:
score: 0
Accepted
time: 337ms
memory: 3916kb
input:
2000 943353 817289 237151 899722 682851 -464873 854225 205354 834550 257948 -260874 298196 -224572 -269157 -667301 881130 -45920 -696359 -634337 792620 -408527 -947513 582880 172669 921645 839423 833813 721080 -836662 -287230 -55783 -408594 108996 -122012 365647 -789544 313812 833502 970009 -737736 ...
output:
218
result:
ok 1 number(s): "218"
Test #12:
score: 0
Accepted
time: 322ms
memory: 3636kb
input:
2000 619248 227987 -252490 -553032 148050 -479727 -333707 -591482 -40488 -503144 561909 255624 -402541 -798967 -245811 -610006 -146584 -517935 226433 -92580 -81939 -828480 72540 -845547 502613 220323 66708 -573015 601886 258752 406443 257854 232970 -671600 -37023 -683767 602339 456757 -440096 -71899...
output:
7
result:
ok 1 number(s): "7"
Test #13:
score: 0
Accepted
time: 322ms
memory: 3752kb
input:
2000 -602451 2956 85982 141739 -185932 -208897 -716095 58215 -468047 155612 -791626 -3105 75700 -484098 609608 -304849 689485 -106857 533177 -285261 -659400 -241162 -369302 165482 406663 265940 -353843 -788313 805885 -75440 -571955 -60471 351360 -81373 -510926 -59456 591713 179588 534794 -118 201630...
output:
66
result:
ok 1 number(s): "66"
Test #14:
score: 0
Accepted
time: 328ms
memory: 3912kb
input:
2000 41203 -675424 -158994 366628 -133859 -595680 435466 687630 687811 -35017 314337 133049 -384711 444777 54850 -760922 526166 282618 572292 94793 -324003 621393 -30308 242225 612969 -231837 -56628 -892609 -492077 58749 29597 -349591 198510 219502 380955 -59845 839171 -40068 88185 -820614 -572977 -...
output:
43
result:
ok 1 number(s): "43"
Test #15:
score: 0
Accepted
time: 338ms
memory: 3752kb
input:
2000 -814040 46114 -324077 -522697 388552 -604274 -252898 43028 -757069 141507 413462 -649779 -281915 -316285 -498931 -573214 -408766 670792 -271435 -393170 87187 731739 89312 -853584 -768680 -307261 -185324 234729 -70493 -354866 16452 164338 -650791 -518077 851196 -259322 -85395 -509349 241593 5074...
output:
129
result:
ok 1 number(s): "129"
Test #16:
score: 0
Accepted
time: 340ms
memory: 3692kb
input:
2000 23103 -796677 -148322 67634 -525131 -446626 2672 584671 -712789 -69579 -91150 -429393 -375635 -487235 -680553 -370975 793181 -383683 -234131 -462420 -734705 -171834 322671 -355011 760005 224249 700248 -352775 416862 -125857 -497951 717254 677084 -451876 -220123 616240 525973 -144881 -300828 553...
output:
1466
result:
ok 1 number(s): "1466"
Test #17:
score: 0
Accepted
time: 377ms
memory: 3752kb
input:
2000 -185174 470373 -772343 -70370 -182314 851727 661615 -250979 -581175 527646 332025 141502 -659052 -506788 -378459 -553180 11233 162287 469975 -572356 679074 217029 -137967 727723 581696 140544 452574 -319370 120895 129820 772655 -330960 122860 823902 -786221 147543 -206152 -373647 -212943 4820 6...
output:
2801
result:
ok 1 number(s): "2801"
Test #18:
score: 0
Accepted
time: 427ms
memory: 3748kb
input:
2000 -718158 695879 655921 595312 -509080 -860718 540612 244159 -83221 -865654 -460513 -542465 102321 -775593 328552 799263 -284269 -725108 152140 549502 -108610 465054 -97837 -449762 -772869 -171472 293831 -711723 508617 -157976 170737 323070 544222 385453 -633043 -233165 -620164 -459706 507218 338...
output:
14445
result:
ok 1 number(s): "14445"
Test #19:
score: 0
Accepted
time: 582ms
memory: 3728kb
input:
2000 -587991 -165467 -530325 -5525 -574943 180654 -496535 -748102 -436469 -160646 110285 237070 -822862 -141480 -177189 327799 -424868 331309 -999274 38095 -745710 192605 -234174 -804258 586432 -176239 -626756 499109 -562606 826724 890245 455480 -32262 -298900 550800 516690 -588632 -368654 405331 -3...
output:
64358
result:
ok 1 number(s): "64358"
Test #20:
score: 0
Accepted
time: 853ms
memory: 3788kb
input:
2000 441575 -414673 651578 -449237 287355 -489950 606811 -30288 -733692 679481 -652568 89883 -360110 616801 190405 -368787 -352383 935855 118240 73038 -374899 -927065 -22183 -491455 -146229 638417 998825 -48442 -374469 243261 988830 149043 -778607 -291542 -277026 -167975 372912 -405043 535321 425727...
output:
233885
result:
ok 1 number(s): "233885"
Test #21:
score: -100
Time Limit Exceeded
input:
2000 -369265 -366669 -225059 -65255 750236 -107534 -252341 967638 533029 -79205 -482639 504243 -164616 -477455 -219649 975578 222020 297565 -548636 -836060 595498 -345235 -971961 -235140 179392 983777 747498 664263 -458850 -513884 -456639 186799 508542 -359953 630300 5257 -294961 -599723 999627 2729...
output:
430546