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 |
---|---|---|---|---|---|---|---|---|---|
#278998 | #7906. Almost Convex | ucup-team1508# | TL | 1118ms | 4404kb | C++20 | 4.9kb | 2023-12-08 00:49:02 | 2023-12-08 00:49:02 |
Judging History
answer
#include<bits/stdc++.h>
#define F(i, a, b) for(int i = a; i <= b; i ++)
#define Fd(i, a, b) for(int i = a; i >= b; i --)
#define int long long
#define pii pair<int, int>
#define fi first
#define se second
using namespace std;
typedef double db;
const db eps = 1e-10;
int sgn(db x) {
if(fabs(x) < eps) return 0;
else return x < 0 ? -1 : 1;
}
struct point {
db x, y;
int id;
point() {}
point(db x, db y, int id) : x(x), y(y), id(id) {}
point operator + (point B) {return point(x + B.x, y + B.y, id);}
point operator - (point B) {return point(x - B.x, y - B.y, id);}
bool operator == (point B) {return sgn(x - B.x) == 0 && sgn(y - B.y) == 0;}
bool operator < (point B) {return sgn(x - B.x) < 0 || (sgn(x - B.x) == 0 && sgn(y - B.y) < 0);}
};
// bool cmp(point a, point b) {
// return sgn(a.y - b.y) == 0 ? sgn(a.x - b.x) < 0 : sgn(a.y - b.y) <= 0;
// }
db cross(point A, point B) {return A.x * B.y - A.y * B.x;}
bool get_region(point a) {
return a.y <= 0 && (a.x < 0 || a.y < 0);
}
point o = {0, 0, 0};
bool cmp1(point a, point b) { // 极角排序 逆时针
point p = a - o, q = b - o;
if(sgn(atan2(p.y, p.x) - atan2(q.y, q.x)) == 0) return p.x < p.y;
return atan2(p.y, p.x) < atan2(q.y, q.x);
}
bool cmp2(point a, point b) {
point p = a - o, q = b - o;
if(sgn(atan2(p.y, p.x) - atan2(q.y, q.x)) == 0) return p.x > p.y;
return atan2(p.y, p.x) > atan2(q.y, q.x);
}
// bool cmp1(point a, point b) {
// point p = a - o, q = b - o;
// int r1 = get_region(a), r2 = get_region(b);
// if(r1 != r2) return r1 < r2;
// if(cross(p, q) == 0) return a.x < b.x;
// return cross(p, q) > 0;
// }
// bool cmp2(point a, point b) {
// point p = a - o, q = b - o;
// int r1 = get_region(a), r2 = get_region(b);
// if(r1 != r2) return r1 > r2;
// if(cross(p, q) == 0) return a.x < b.x;
// return cross(p, q) < 0;
// }
const int N = 2005;
int convex_hull(vector<point> p, int n, int *ch) {
int v = 0;
F(i, 0, n - 1) {
while(v >= 2 && sgn(cross(p[ch[v - 1]] - p[ch[v - 2]], p[i] - p[ch[v - 1]])) <= 0) v --;
ch[v ++] = i;
} int j = v;
Fd(i, n - 2, 0) {
while(v > j && sgn(cross(p[ch[v - 1]] - p[ch[v - 2]], p[i] - p[ch[v - 1]])) <= 0) v --;
ch[v ++] = i;
}
return n > 1 ? v - 1 : v;
}
int ch[N], vst[N];
void sol() {
int n; cin >> n;
vector<point> a(n);
F(i, 0, n - 1) {
int x, y; cin >> x >> y;
a[i].x = x, a[i].y = y;
}
sort(a.begin(), a.end());
int m = convex_hull(a, n, ch);
F(i, 0, n - 1) a[i].id = i;
// cout << m << endl;
// F(i, 0, m - 1) cout << ch[i] << " \n" [i == m - 1];
F(i, 0, m - 1) vst[ch[i]] = 1;
int res = 0;
F(i, 0, m - 1) {
int l = ch[i], r = ch[(i + 1) % m];
// cout << l << " " << r << "\n";
auto b = a, c = a;
vector<point> tmp(n);
o = a[l];
sort(b.begin(), b.end(), cmp1);
o = a[r];
sort(c.begin(), c.end(), cmp2);
int b0, b1;
F(j, 0, n - 1) {
if(b[j].id == a[r].id) {
b0 = (j + 1) % n;
break;
}
}
F(j, 0, n - 1) {
if(c[j].id == a[l].id) {
b1 = (j + 1) % n;
break;
}
}
// cout << b0 << " " << b1 << endl;
// cout << 1 << endl;
// cout << "szb: " << b.size() << "\n";
vector<int> pos1(n), pos2(n), ok(n);
int cnt = 0, tot = 0;
for(int j = b0; tot < n; j = (j + 1) % n) {
tot ++;
tmp[cnt].x = b[j].x, tmp[cnt].y = b[j].y, tmp[cnt ++].id = b[j].id;
}
b = tmp;
// F(j, 0, n - 1) cout << b[j].id << " \n" [j == n - 1];
// cout << n << endl;
F(j, 0, n - 1) pos1[b[j].id] = j;
// cout << 1 << endl;
cnt = 0, tot = 0;
for(int j = b1; tot < n; j = (j + 1) % n) {
tot ++;
tmp[cnt].x = c[j].x, tmp[cnt].y = c[j].y, tmp[cnt ++].id = c[j].id;
}
c = tmp;
F(j, 0, n - 1) pos2[c[j].id] = j;
// cout << 1 << endl;
// F(j, 0, n - 1) cout << b[j].id << " \n" [j == n - 1];
// F(j, 0, n - 1) cout << c[j].id << " \n" [j == n - 1];
int mn = n;
F(j, 0, n - 1) {
if(vst[b[j].id]) continue;
if(mn <= pos2[b[j].id]) ok[b[j].id] = 1;
mn = min(mn, pos2[b[j].id]);
} mn = n;
F(j, 0, n - 1) {
if(vst[c[j].id]) continue;
if(mn <= pos1[c[j].id]) ok[c[j].id] = 1;
mn = min(mn, pos1[c[j].id]);
}
F(j, 0, n - 1) if(! ok[j] && ! vst[j]) res ++;
// cout << res << "\n";
}
cout << res + 1 << "\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
sol();
return 0;
}
/*
7
1 4
4 0
2 3
3 1
3 5
0 0
2 4
*/
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 4116kb
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: 3936kb
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: 4260kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4188kb
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: 4200kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 96ms
memory: 4204kb
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: 86ms
memory: 4200kb
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: 56ms
memory: 4200kb
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: 44ms
memory: 4176kb
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: 51ms
memory: 4068kb
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: 46ms
memory: 4104kb
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: 3ms
memory: 4176kb
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: 12ms
memory: 4092kb
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: 15ms
memory: 4404kb
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: 23ms
memory: 4204kb
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: 44ms
memory: 4188kb
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: 108ms
memory: 4104kb
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: 214ms
memory: 4260kb
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: 440ms
memory: 4084kb
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: 1118ms
memory: 4084kb
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...