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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#804230#9869. Horizon Scanningucup-team1338#AC ✓399ms37188kbC++203.1kb2024-12-07 21:08:492024-12-07 21:08:49

Judging History

你现在查看的是最新测评结果

  • [2024-12-07 21:08:49]
  • 评测
  • 测评结果:AC
  • 用时:399ms
  • 内存:37188kb
  • [2024-12-07 21:08:49]
  • 提交

answer

#include<bits/stdc++.h>
#define LL long long
#define len(G) (LL)(G).size()
#define all(G) (G).begin(),(G).end()
#define ar(n) array<LL,n>
using namespace std;
using i128=__int128;
using ar=array<LL,2>;
using Poly=vector<LL>;

mt19937_64 rnd(random_device{}());

constexpr LL N=2e5+9;
constexpr double eps=1e-10;
using numbers::pi;

LL n,K;
double t[N];

template<class T>
inline void read(T &x)
{
	x=0;int w=1;char c=getchar();
	while(!isdigit(c)){if(c=='-')w=-1;	c=getchar();}
	while(isdigit(c)){x=x*10+(c^'0');	c=getchar();}
	if(w==-1)	x=-x;
}
template<class T,class... Args>
inline void read(T &x,Args &...args)
{
	read(x),read(args...);
}

double ang(double x,double y)
{
	double t=atan2(y,x);
	if(t<0)	t+=2*pi;
	return t;
}

// map<double,LL> mp;
vector<pair<double,LL>> G;

// void add(double l,double r)
// {
// 	// ++mp[l-eps];
// 	// --mp[r+eps];
// 	G.push_back({l-eps,1});
// 	G.push_back({r+eps,-1});
// }
void addl(auto &G,double l)
{
	G.push_back({l-eps,1});
}
void addr(auto &G,double r)
{
	G.push_back({r+eps,-1});
}

void f(auto &G,const auto &T)
{
	assert(is_sorted(all(T)));
	LL l=len(G);
	G.insert(G.end(),all(T));
	inplace_merge(G.begin(),G.begin()+l,G.end());
}

bool check(double a)
{
	// mp.clear();
	// mp[2*pi+eps]=0;
	G.clear();
	// G.reserve(n);
	
	vector<pair<double,LL>> G1,G2,G3,G4,G5,G6;
	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{
			addl(G1,0);
		}
		else if(r>2*pi)
		{
			addl(G1,0);
		}
	}
	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{
			addl(G2,l+2*pi);
		}
	}
	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{

		}
		else if(r>2*pi)
		{
			addl(G3,l);
		}
		else
		{
			addl(G3,l);
		}
	}

	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{
			addr(G4,2*pi);
		}
		else if(r>2*pi)
		{
			addr(G4,2*pi);
		}
	}
	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{
			
		}
		else if(r>2*pi)
		{
			addr(G5,r-2*pi);
		}
	}
	for(LL i=1;i<=n;++i)
	{
		double l=t[i]-a/2,r=t[i]+a/2;
		if(l<0)
		{
			addr(G6,r);
		}
		else if(r>2*pi)
		{
			
		}
		else
		{
			addr(G6,r);
		}
	}



	// for(LL i=1;i<=n;++i)
	// {
	// 	double l=t[i]-a/2,r=t[i]+a/2;
	// 	if(l<0)
	// 	{
	// 		add(0,r);
	// 		add(l+2*pi,2*pi);
	// 	}
	// 	else if(r>2*pi)
	// 	{
	// 		add(0,r-2*pi);
	// 		add(l,2*pi);
	// 	}
	// 	else
	// 	{
	// 		add(l,r);
	// 	}
	// }

	// sort(all(G));

	f(G,G1);
	f(G,G2);
	f(G,G3);
	f(G,G4);
	f(G,G5);
	f(G,G6);

	G.push_back({2*pi+eps,0});
	// if(mp.begin()->first>0)	return 0;
	// if(G.begin()->first>0)	return 0;
	LL cur=0;
	for(auto [k,v]:G)
	{
		if(k>0&&cur<K)	return 0;
		if(k>2*pi)	break;
		cur+=v;
	}
	return 1;
}

void solve()
{
	read(n,K);
	for(LL i=1;i<=n;++i)
	{
		LL x,y;
		read(x,y);
		t[i]=ang(x,y);
	}
	sort(t+1,t+n+1);

	double l=0,r=2*pi;
	for(LL _=1;_<=40;++_)
	{
		double mid=(l+r)/2;
		if(check(mid))	r=mid;
		else	l=mid;
	}
	printf("%.10lf\n",l);
}

int main()
{
	LL T;
	read(T);
	while(T--)	solve();
	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: 4040kb

input:

5
1 1
0 1
8 2
1 0
1 1
0 1
-1 1
-1 0
-1 -1
0 -1
1 -1
4 2
-1 1
0 1
0 2
1 1
4 2
-1000000000 0
-998244353 1
998244353 1
1000000000 0
3 1
0 1
0 2
0 -1

output:

6.2831853070
1.5707963266
5.4977871436
3.1415926544
3.1415926534

result:

ok 5 numbers

Test #2:

score: 0
Accepted
time: 368ms
memory: 4228kb

input:

10000
16 1
-10 -6
-5 -6
-4 9
-2 5
-2 10
1 -7
1 -5
1 6
3 1
4 -9
6 -10
6 -3
6 1
8 -5
8 -4
9 -4
17 4
-9 2
-8 -4
-8 -3
-8 -1
-6 -2
-6 -1
-6 8
-5 -8
-5 10
-4 8
-2 -8
4 -9
4 0
5 -3
8 -5
9 -2
10 10
10 6
-7 2
-4 6
-2 -7
-2 -1
-1 7
1 -9
1 8
3 -4
7 -4
9 -2
14 3
-9 10
-8 -10
-8 -8
-6 -7
-6 -5
-1 -7
-1 -2
0 -1
...

output:

1.6929914973
2.5748634359
4.6527582671
2.7726331072
5.7427658067
4.8576989908
3.4198923124
2.8127999619
6.2831853070
6.2831853070
5.1172807665
6.1467827026
3.8420890233
2.3424967166
3.4633432078
6.2831853070
5.9614347526
3.3247034707
5.2627749279
5.6724593426
1.6738779351
1.1141908547
2.4087775516
6...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 369ms
memory: 4228kb

input:

10000
19 7
-10 -6
-10 5
-3 0
-2 -5
-1 1
-1 6
0 3
0 7
1 9
3 -3
3 3
3 8
4 -1
5 8
6 -3
7 -5
7 4
8 10
9 -5
15 15
-9 -1
-8 6
-7 9
-6 -3
-4 -9
-1 -3
-1 8
1 -8
1 -7
3 -2
3 1
6 -9
7 -10
7 0
10 -9
10 3
-7 -1
-6 -2
-6 10
-5 2
-4 2
-3 -7
-2 -9
1 -3
3 4
7 7
15 4
-8 -8
-8 8
-7 0
-7 10
-6 -7
-5 6
-1 -3
-1 0
1 -2
...

output:

3.9269908168
6.2831853070
3.3602615993
2.6779450444
3.7703889398
1.7625844686
3.8402524781
5.4977871436
2.0344439356
1.8157749897
4.3471875304
6.1412882524
5.1760365892
5.4655402611
5.7690391511
4.3662530166
5.9947557485
4.8922424800
4.1719694799
5.6776406434
5.9614347526
3.5067941032
4.5429759363
5...

result:

ok 10000 numbers

Test #4:

score: 0
Accepted
time: 372ms
memory: 4120kb

input:

10000
18 12
-10 -4
-10 7
-8 -10
-7 -4
-6 5
-6 7
-5 0
-2 -7
-1 2
-1 10
0 2
1 1
3 -2
5 3
5 5
6 -3
8 -3
9 -2
10 1
-10 -9
-7 -7
-5 2
-4 -7
-3 1
3 1
3 3
5 -4
9 2
9 6
11 2
-8 1
-8 6
-7 -2
-6 0
-5 0
-1 -9
2 -8
3 5
6 0
10 -2
10 6
20 9
-10 -6
-10 6
-9 -8
-7 5
-6 -4
-4 -8
-2 -10
-2 -3
-2 4
-1 1
2 -5
3 -2
5 -6...

output:

4.9097845400
1.9756881129
1.9868608323
3.9269908168
3.6977588835
6.2831853070
6.1412882524
6.1938713140
5.8053542520
6.2528915471
5.7288778108
3.0900918424
1.8925468810
5.6341897480
2.8966139903
6.2831853070
2.9147938053
6.1476575930
1.9513027037
5.5643553074
5.4977871436
3.0981417580
4.3906384258
3...

result:

ok 10000 numbers

Test #5:

score: 0
Accepted
time: 364ms
memory: 4188kb

input:

10000
19 7
-10 -1
-8 2
-7 -10
-6 6
-4 7
-3 -5
-3 1
-3 8
-2 4
-1 -7
0 -8
0 9
1 -10
2 1
2 3
3 5
6 -4
10 2
10 3
14 10
-8 2
-6 0
-5 -10
-5 10
-4 7
-3 -6
-2 -6
1 4
1 6
2 -1
3 -6
8 -4
9 -10
10 -1
12 8
-9 5
-7 2
-4 2
0 -2
0 5
1 6
3 2
4 9
5 5
7 -6
9 -9
9 2
19 12
-10 -10
-10 2
-9 -6
-8 2
-7 -5
-6 8
-4 1
-1 -...

output:

3.2393195607
5.2757052417
5.3003915837
5.3871299224
5.8883941873
4.1173193565
1.1383885510
1.5152978213
6.1476575930
6.1588303124
2.5748634359
5.9401613666
1.6085142791
4.6099451267
5.0711596505
4.2345579252
3.7905882124
4.0376480380
3.9160022481
1.0636978222
4.2809882536
5.8572556504
3.4078447025
5...

result:

ok 10000 numbers

Test #6:

score: 0
Accepted
time: 366ms
memory: 4312kb

input:

10000
11 10
-10 -1
-9 4
-9 10
-7 -7
-5 4
-4 -1
-2 -10
0 -7
0 5
3 3
3 5
12 12
-9 6
-9 8
-3 -2
-2 2
0 -4
1 0
2 -3
3 5
5 -2
7 -1
10 3
10 9
14 12
-10 0
-9 -3
-9 1
-9 10
-8 -1
-8 7
-6 -1
-1 -6
-1 2
1 -1
3 -7
4 9
9 -3
10 1
10 4
-9 -3
-7 -1
-6 -10
-3 -2
-3 7
2 -2
2 3
5 2
6 9
9 6
10 2
-9 -9
-9 6
-8 3
-5 -9
...

output:

6.1378752963
6.2831853070
6.1180366296
3.2003484761
2.6537562147
6.2537820188
3.6052402624
3.5598169830
1.5091461560
5.9275494227
6.2587998978
2.6224465391
4.3938333031
5.4977871436
4.2487413712
5.4977871436
4.6292477483
3.5464844397
6.0048856480
1.1967518951
2.8854412708
6.2000440751
1.9237867144
5...

result:

ok 10000 numbers

Test #7:

score: 0
Accepted
time: 376ms
memory: 4340kb

input:

10000
14 1
-100 13
-96 -31
-82 -92
-77 -98
-50 1
-14 -57
-14 -31
-11 64
-8 75
9 68
25 100
54 -36
59 13
93 31
19 19
-76 -39
-60 95
-51 18
-39 11
-21 -46
-6 -94
-5 83
-3 -34
-3 72
0 -55
3 79
14 17
23 -88
32 37
50 70
61 -5
62 -43
84 -100
97 -50
13 7
-99 -63
-68 -87
-24 62
-20 -18
-2 -66
7 -49
13 -21
15...

output:

1.2713093973
6.2831853070
5.2225147205
6.0030657034
3.9258721353
5.5465289949
3.2103149235
3.0399300497
4.2275317816
3.0320196655
2.1912152336
3.0390080902
4.3313271504
6.2831853070
5.1100022648
2.9463140259
5.1760365892
5.6991835712
2.0611798649
6.2831853070
2.2278897853
6.1707748614
6.2831853070
6...

result:

ok 10000 numbers

Test #8:

score: 0
Accepted
time: 196ms
memory: 4576kb

input:

100
1413 755
-30 -30
-30 -28
-30 -27
-30 -26
-30 -21
-30 -12
-30 -10
-30 -8
-30 -5
-30 -1
-30 2
-30 4
-30 7
-30 9
-30 17
-30 19
-30 20
-30 23
-30 24
-30 30
-29 -29
-29 -23
-29 -15
-29 0
-29 4
-29 5
-29 9
-29 10
-29 11
-29 12
-29 14
-29 16
-29 17
-29 22
-29 27
-29 28
-28 -28
-28 -25
-28 -23
-28 -22
-...

output:

3.5891126285
2.9797552221
0.2837941090
2.0350277067
4.8879811421
1.0040671091
4.7457099761
5.3255963291
4.3102749645
5.6033836792
1.5798050919
4.3296454703
5.5472220966
1.4601391054
1.5310445512
2.8716749315
2.6325789667
3.1240505933
0.6805212245
5.4201656348
4.7789571440
2.4030352029
4.2799812046
4...

result:

ok 100 numbers

Test #9:

score: 0
Accepted
time: 201ms
memory: 5428kb

input:

20
9045 8319
-1000 -986
-1000 -683
-1000 -430
-1000 -292
-1000 53
-1000 667
-999 -855
-999 -350
-999 -174
-999 -51
-999 -43
-999 235
-999 465
-999 530
-998 -997
-998 -311
-998 21
-998 44
-998 182
-997 -313
-997 -195
-997 -13
-997 412
-997 425
-996 -542
-996 -348
-996 -126
-996 -59
-996 -40
-996 84
-...

output:

5.9115110037
3.7438685149
2.5384828581
2.1599673587
4.2950377094
4.7716744746
4.6824078124
5.0789843940
1.6008018212
3.3404025454
3.3687925280
2.1130160280
4.8553994099
4.3240010531
0.1078535609
0.1798211240
5.3766547604
4.4495660237
4.3944016649
2.9381848720

result:

ok 20 numbers

Test #10:

score: 0
Accepted
time: 252ms
memory: 32700kb

input:

1
166347 18723
-1000 -979
-1000 -975
-1000 -928
-1000 -914
-1000 -898
-1000 -889
-1000 -876
-1000 -873
-1000 -858
-1000 -840
-1000 -838
-1000 -801
-1000 -783
-1000 -744
-1000 -738
-1000 -733
-1000 -713
-1000 -712
-1000 -695
-1000 -689
-1000 -680
-1000 -675
-1000 -671
-1000 -646
-1000 -643
-1000 -608...

output:

0.8514491788

result:

ok found '0.8514492', expected '0.8514492', error '0.0000000'

Test #11:

score: 0
Accepted
time: 292ms
memory: 31276kb

input:

1
154903 84960
-1000 -979
-1000 -965
-1000 -956
-1000 -945
-1000 -920
-1000 -901
-1000 -878
-1000 -860
-1000 -858
-1000 -709
-1000 -693
-1000 -648
-1000 -619
-1000 -602
-1000 -579
-1000 -474
-1000 -473
-1000 -454
-1000 -443
-1000 -427
-1000 -407
-1000 -403
-1000 -384
-1000 -351
-1000 -279
-1000 -244...

output:

3.5389266852

result:

ok found '3.5389267', expected '3.5389267', error '0.0000000'

Test #12:

score: 0
Accepted
time: 308ms
memory: 31004kb

input:

1
158037 96343
-1000 -1000
-1000 -905
-1000 -881
-1000 -833
-1000 -804
-1000 -803
-1000 -782
-1000 -775
-1000 -765
-1000 -759
-1000 -756
-1000 -748
-1000 -722
-1000 -674
-1000 -669
-1000 -630
-1000 -610
-1000 -573
-1000 -443
-1000 -411
-1000 -409
-1000 -403
-1000 -388
-1000 -366
-1000 -349
-1000 -33...

output:

3.9720287781

result:

ok found '3.9720288', expected '3.9720288', error '0.0000000'

Test #13:

score: 0
Accepted
time: 374ms
memory: 4148kb

input:

10000
17 12
-853202371 684059854
-659446544 -924219854
-418025687 117998679
-399757126 -365708913
-331597239 -270896799
-204989763 869548983
-118492298 963842298
-77481232 672198731
45930201 -58234380
52605147 -900097542
78371985 940503934
235210685 595759114
391284089 234315077
416229789 -827244230...

output:

5.3985251098
5.3739078747
1.1735781727
1.5443652593
3.7782886492
3.5704715867
6.2829748586
5.0959252026
2.9875782463
2.3055665056
3.3907841640
5.7854732379
4.8109636121
0.9567574178
4.6294317308
4.7995080627
4.1702889054
5.7394776961
6.1210294478
3.5674682927
6.2280647242
6.2825675745
4.0146545582
0...

result:

ok 10000 numbers

Test #14:

score: 0
Accepted
time: 227ms
memory: 4344kb

input:

1000
133 108
-994106086 710243426
-991027749 -548437545
-983318226 -917527783
-943673956 -368162275
-935819096 616077188
-928022346 487569673
-924213856 -369318351
-914827619 426646545
-883935180 590882141
-870015071 -270471333
-834927107 -211343853
-829266515 354007200
-788041913 -60481736
-7822837...

output:

5.7428017919
1.9153642396
3.8043457979
1.7919162703
3.1695206704
6.0786462144
3.7860674593
3.6659690725
6.2265834528
5.9021521924
5.9443157091
0.7151676868
3.8315742528
1.2228457183
2.5984264667
5.5473289203
4.0791947426
0.7042209928
5.8578224266
0.6894854476
0.9379821527
1.4215226988
4.2713262790
3...

result:

ok 1000 numbers

Test #15:

score: 0
Accepted
time: 206ms
memory: 4444kb

input:

100
1367 924
-999416811 990355566
-997656126 346133696
-997071616 -657387469
-996176051 12622726
-995720693 334093112
-995478093 891631278
-994503890 341858449
-994297596 499383911
-993234202 533518057
-991636838 -4170504
-990563582 -407186200
-989454027 653116272
-989132124 -780605454
-988073521 -1...

output:

4.5051534904
2.7125589324
5.8396785808
6.0229771113
0.4616060429
0.9869912330
1.3219708486
1.9258417456
5.5086083531
4.6463553311
2.2876774100
2.1848725876
4.8094091916
0.4770789900
0.5563416048
1.0936191639
5.1827145534
3.1131846616
4.3802339548
2.7492592823
2.7917953345
6.2717333574
5.7538750451
2...

result:

ok 100 numbers

Test #16:

score: 0
Accepted
time: 255ms
memory: 6620kb

input:

10
13806 4955
-999669776 933068103
-999542354 721337508
-999499427 357140594
-999429088 -925180511
-999334813 -145726169
-999291694 -886327684
-999281647 811188099
-999145269 860687107
-998961821 -979442436
-998769313 446186367
-998591455 658309173
-998539751 -569480843
-998479467 279850955
-9984754...

output:

2.4170804678
6.1611922289
3.9600203766
3.9943617927
2.5515508360
0.5227238366
4.0978438276
6.2103826630
5.9817280291
0.7772236857

result:

ok 10 numbers

Test #17:

score: 0
Accepted
time: 233ms
memory: 23472kb

input:

1
112596 94970
-999980219 399324466
-999932413 952114487
-999894556 -951211102
-999891030 -996222974
-999864824 412806264
-999853190 -269700371
-999845814 -23906803
-999841507 -459154880
-999825178 716247149
-999761774 -154047106
-999729655 -171480333
-999709604 -666447277
-999704754 -22442485
-9996...

output:

5.4425938791

result:

ok found '5.4425939', expected '5.4425939', error '0.0000000'

Test #18:

score: 0
Accepted
time: 257ms
memory: 32548kb

input:

1
161568 13252
-999991243 -113889211
-999976572 -361096764
-999970140 -505012445
-999960654 600963873
-999959339 -269932510
-999956568 734634576
-999941447 716485764
-999940305 64397798
-999939982 746532931
-999939921 995002380
-999932747 185078659
-999927136 585216518
-999914684 898656539
-99990452...

output:

0.6424745905

result:

ok found '0.6424746', expected '0.6424746', error '0.0000000'

Test #19:

score: 0
Accepted
time: 399ms
memory: 37188kb

input:

1
186192 126483
-999998234 974001047
-999976292 -133179660
-999967957 112862981
-999957851 70030467
-999951528 743907713
-999931316 66002112
-999907988 888991267
-999905412 470798211
-999903986 -103943462
-999900422 255729004
-999898174 917068198
-999884392 -183592605
-999880179 -650076162
-99987469...

output:

4.4012456839

result:

ok found '4.4012457', expected '4.4012457', error '0.0000000'

Test #20:

score: 0
Accepted
time: 201ms
memory: 4380kb

input:

1000
133 9
-10 -839744900
-10 -620593257
-10 -322048342
-10 578093727
-10 898998949
-9 -833794004
-9 -704882916
-9 -570204575
-9 -506146571
-9 -109555290
-9 309734100
-9 396668416
-8 -928874025
-8 376566668
-8 596463598
-8 600491164
-8 894775141
-7 -281322833
-7 49984651
-7 154512939
-7 205573228
-7...

output:

3.1415925827
6.2831852480
3.1415926142
3.1415911739
6.2831852701
6.2831852951
3.1415926490
6.2831853035
3.1415926400
6.2831852505
6.2831852814
3.1415927590
3.1415926452
3.1415926236
3.1415926150
6.2831852731
3.1415926492
3.1415926535
3.1415926531
6.2831853045
6.2831852027
3.1415926590
3.1415926503
3...

result:

ok 1000 numbers

Test #21:

score: 0
Accepted
time: 147ms
memory: 9016kb

input:

5
23120 8224
-10 -999575056
-10 -997485895
-10 -995458183
-10 -986953157
-10 -985268102
-10 -983223383
-10 -980910524
-10 -980404283
-10 -973605147
-10 -972441960
-10 -972440422
-10 -969122114
-10 -965754004
-10 -964812113
-10 -964558462
-10 -963159275
-10 -962972564
-10 -962085557
-10 -961552443
-1...

output:

3.1415926421
3.1415926310
3.1415926066
3.1415926492
6.2831852720

result:

ok 5 numbers

Test #22:

score: 0
Accepted
time: 161ms
memory: 26372kb

input:

1
99995 60000
1 100001
1 100002
1 100003
1 100004
1 100005
1 100006
1 100007
1 100008
1 100009
1 100010
1 100011
1 100012
1 100013
1 100014
1 100015
1 100016
1 100017
1 100018
1 100019
1 100020
1 100021
1 100022
1 100023
1 100024
1 100025
1 100026
1 100027
1 100028
1 100029
1 100030
1 100031
1 10003...

output:

6.2831853067

result:

ok found '6.2831853', expected '6.2831853', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed