QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#639071 | #7906. Almost Convex | JinTianHao# | TL | 723ms | 4264kb | C++17 | 2.8kb | 2024-10-13 17:50:09 | 2024-10-13 17:50:09 |
Judging History
answer
#include <bits/stdc++.h>
#define inf 1000000007
#define mod 1000000007
// #define int long long
// #pragma GCC optimize("Ofast","inline","-ffast-math")
// #pragma GCC target("avx,sse2,sse3,sse4,mmx")
using namespace std;
template <typename T> void read(T &x){
x=0;char ch=getchar();int fh=1;
while (ch<'0'||ch>'9'){if (ch=='-')fh=-1;ch=getchar();}
while (ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar();
x*=fh;
}
template <typename T> void write(T x) {
if (x<0) x=-x,putchar('-');
if (x>9) write(x/10);
putchar(x%10+'0');
}
template <typename T> void writeln(T x) {
write(x);
puts("");
}
const double pi=acos(0)*2,eps=1e-6;
int n,stk[2005],tt,ans=1;
bool ins[2005];
struct point
{
int x,y;
bool operator<(const point &o) const{return (x==o.x?y<o.y:x<o.x);}
point operator-(const point &o) const{return {x-o.x,y-o.y};}
long long operator*(const point &o) const{return 1ll*x*o.y-1ll*y*o.x;}
}p[2005];
pair<int,int> val[2005];
signed main()
{
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
read(n);
for(int i=1;i<=n;++i)
{
read(p[i].x);
read(p[i].y);
}
sort(p+1,p+n+1);
stk[tt=1]=1;
for(int i=2;i<=n;++i)
{
while(tt>1&&(p[stk[tt]]-p[stk[tt-1]])*(p[i]-p[stk[tt]])<=0) ins[stk[tt--]]=0;
ins[stk[++tt]=i]=1;
}
for(int i=n-1,j=tt;i>=1;--i)
{
if(ins[i]) continue;
while(tt>j&&(p[stk[tt]]-p[stk[tt-1]])*(p[i]-p[stk[tt]])<=0) ins[stk[tt--]]=0;
ins[stk[++tt]=i]=1;
}
stk[tt]=stk[1];
for(int i=1;i<tt;++i)
{
vector<int> id;
for(int j=1;j<=n;++j)
if(!ins[j]) id.push_back(j);
sort(id.begin(),id.end(),[i](int a,int b){
double ang1=atan2(p[a].y-p[stk[i]].y,p[a].x-p[stk[i]].x)-atan2(p[stk[i+1]].y-p[stk[i]].y,p[stk[i+1]].x-p[stk[i]].x);
double ang2=atan2(p[b].y-p[stk[i]].y,p[b].x-p[stk[i]].x)-atan2(p[stk[i+1]].y-p[stk[i]].y,p[stk[i+1]].x-p[stk[i]].x);
if(ang1<-pi-eps) ang1+=pi*2;
if(ang1>pi+eps) ang1-=pi*2;
if(ang2<-pi-eps) ang2+=pi*2;
if(ang2>pi+eps) ang2-=pi*2;
ang1=fabs(ang1);ang2=fabs(ang2);
return ang1<ang2;
});
for(int j=0;j<id.size();++j)
val[id[j]].first=j;
sort(id.begin(),id.end(),[i](int a,int b){
double ang1=atan2(p[a].y-p[stk[i+1]].y,p[a].x-p[stk[i+1]].x)-atan2(p[stk[i]].y-p[stk[i+1]].y,p[stk[i]].x-p[stk[i+1]].x);
double ang2=atan2(p[b].y-p[stk[i+1]].y,p[b].x-p[stk[i+1]].x)-atan2(p[stk[i]].y-p[stk[i+1]].y,p[stk[i]].x-p[stk[i+1]].x);
if(ang1<-pi-eps) ang1+=pi*2;
if(ang1>pi+eps) ang1-=pi*2;
if(ang2<-pi-eps) ang2+=pi*2;
if(ang2>pi+eps) ang2-=pi*2;
ang1=fabs(ang1);ang2=fabs(ang2);
return ang1<ang2;
});
for(int j=0;j<id.size();++j)
val[id[j]].second=j;
sort(id.begin(),id.end(),[](int a,int b){
return val[a]<val[b];
});
int mn=inf;
for(int i:id)
{
if(val[i].second<mn) ++ans;
mn=min(mn,val[i].second);
}
}
writeln(ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 4096kb
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: 4164kb
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: 3644kb
input:
3 0 0 3 0 0 3
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4032kb
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: 3736kb
input:
4 0 0 0 3 3 0 3 3
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 185ms
memory: 4196kb
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: 160ms
memory: 3972kb
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: 113ms
memory: 4204kb
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: 87ms
memory: 4060kb
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: 94ms
memory: 3956kb
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: 83ms
memory: 4200kb
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: 14ms
memory: 3972kb
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: 21ms
memory: 4208kb
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: 30ms
memory: 3968kb
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: 50ms
memory: 4200kb
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: 80ms
memory: 4264kb
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: 196ms
memory: 4208kb
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: 383ms
memory: 4188kb
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: 723ms
memory: 4204kb
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: -100
Time Limit Exceeded
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...