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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
#152802#6620. Linear Fractional Transformationdo_while_trueAC ✓229ms3816kbC++142.9kb2023-08-28 20:49:062023-08-28 20:49:07

Judging History

你现在查看的是最新测评结果

  • [2023-08-28 20:49:07]
  • 评测
  • 测评结果:AC
  • 用时:229ms
  • 内存:3816kb
  • [2023-08-28 20:49:06]
  • 提交

answer

#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<ctime>
#include<random>
#include<assert.h>
#define pb emplace_back
#define mp make_pair
#define fi first
#define se second
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n'
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n'
#define DE(fmt,...) fprintf(stderr, "Line %d : " fmt "\n",__LINE__,##__VA_ARGS__)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int,int>pii;
typedef pair<ll,int>pli;
typedef pair<ll,ll>pll;
typedef pair<int,ll>pil;
typedef vector<int>vi;
typedef vector<ll>vll;
typedef vector<pii>vpii;
typedef vector<pll>vpll;
template<typename T>T cmax(T &x, T y){return x=x>y?x:y;}
template<typename T>T cmin(T &x, T y){return x=x<y?x:y;}
template<typename T>
T &read(T &r){
	r=0;bool w=0;char ch=getchar();
	while(ch<'0'||ch>'9')w=ch=='-'?1:0,ch=getchar();
	while(ch>='0'&&ch<='9')r=r*10+(ch^48),ch=getchar();
	return r=w?-r:r;
}
template<typename T1,typename... T2>
void read(T1 &x,T2& ...y){read(x);read(y...);}
const ld eps=1e-9;
struct num{
	ld x,y;
	void get(){
		double u,v;
		scanf("%lf%lf",&u,&v);
		x=u;y=v;
	}
	void print(){
		double u=x,v=y;
		printf("%.15lf %.15lf\n",u,v);
	}
	num(ld u=0,ld v=0){x=u;y=v;}
}z[5],w[5],e[5][5];
bool operator==(const num &u,const num &v){return (abs(u.x-v.x)<=eps)&&(abs(u.y-v.y)<=eps);}
num operator+(const num &u,const num &v){return num(u.x+v.x,u.y+v.y);}
num operator-(const num &u,const num &v){return num(u.x-v.x,u.y-v.y);}
num operator*(const num &u,const num &v){
	return num(u.x*v.x-u.y*v.y,u.x*v.y+u.y*v.x);
}
num operator/(const num &u,const num &v){
	ld a=u.x,b=u.y;
	ld c=v.x,d=v.y;
	ld t=c*c+d*d;
	return num((a*c+b*d)/t,(b*c-a*d)/t);
}
void solve(){
	for(int i=1;i<=3;i++)z[i].get(),w[i].get();
	z[0].get();
	{
		//c=0, d=1
		num a=(w[1]-w[2])/(z[1]-z[2]);
		num b=w[1]-a*z[1];
		if(a*z[3]+b==w[3]){
			num ans=a*z[0]+b;
			ans.print();
			return ;
		}
	}
	//c=1
	for(int i=1;i<=3;i++){
		e[i][1]=z[i];
		e[i][2]=num(1,0);
		e[i][3]=num(0,0)-w[i];
		e[i][4]=w[i]*z[i];
	}
	for(int i=1;i<=3;i++){
		for(int j=i;j<=3;j++)
			if(!(e[j][i]==num(0,0))){
				swap(e[i],e[j]);
				break;
			}
		for(int j=i+1;j<=3;j++){
			num o=e[j][i]/e[i][i];
			for(int k=i;k<=4;k++)
				e[j][k]=e[j][k]-(e[i][k]*o);
		}
	}
	num a,b,d;
	d=e[3][4]/e[3][3];
	b=(e[2][4]-e[2][3]*d)/e[2][2];
	a=(e[1][4]-e[1][3]*d-e[1][2]*b)/e[1][1];
	num ans=(a*z[0]+b)/(z[0]+d);
	ans.print();
}
signed main(){
	#ifdef do_while_true
//		assert(freopen("data.in","r",stdin));
//		assert(freopen("data.out","w",stdout));
	#endif
	int T;read(T);
	while(T--)solve();
    #ifdef do_while_true
//		cerr<<'\n'<<"Time:"<<1.0*clock()/CLOCKS_PER_SEC*1000<<" ms"<<'\n';
	#endif
	return 0;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3800kb

input:

2
-1 0 0 -1
0 1 -1 0
1 0 0 1
0 -1
-1 0 -1 0
0 1 0 -1
1 0 1 0
0 -1

output:

1.000000000000000 0.000000000000000
0.000000000000000 1.000000000000000

result:

ok 4 numbers

Test #2:

score: 0
Accepted
time: 175ms
memory: 3808kb

input:

100000
0 0 -1 1
1 1 1 0
1 0 1 -1
-1 0
-1 -1 -1 1
1 -1 1 -1
-1 0 1 0
-1 -1
-1 -1 0 -1
-1 1 -1 -1
0 -1 0 0
1 1
1 0 0 -1
0 0 0 0
-1 -1 1 0
1 1
-1 -1 0 -1
0 1 1 -1
1 0 -1 -1
1 -1
0 1 1 -1
1 0 1 0
0 -1 0 1
-1 -1
1 1 -1 1
0 0 -1 -1
0 1 0 1
1 0
1 1 1 -1
0 1 -1 -1
1 0 -1 0
1 -1
1 0 -1 1
-1 -1 1 0
0 -1 0 1
0...

output:

1.000000000000000 1.666666666666667
-1.000000000000000 1.000000000000000
-1.500000000000000 -0.500000000000000
0.333333333333333 -0.666666666666667
-0.384615384615385 -0.923076923076923
-1.000000000000000 0.000000000000000
-1.500000000000000 0.500000000000000
-0.853658536585366 -0.317073170731707
-1...

result:

ok 200000 numbers

Test #3:

score: 0
Accepted
time: 190ms
memory: 3624kb

input:

100000
2 -2 -1 -1
-1 2 2 -2
-1 -1 -2 2
2 0
-1 1 0 -2
2 -1 -2 1
2 -2 2 1
2 2
2 2 -2 -1
-2 1 2 1
1 1 -2 -2
1 -2
-2 -1 0 1
2 -1 1 1
1 0 -2 0
-1 0
1 2 -2 0
2 0 0 -1
-1 1 -2 -1
-1 2
1 0 0 -1
2 -1 -2 2
1 -2 -1 1
1 2
2 1 -2 -1
-2 2 0 -1
0 1 -1 1
1 -2
2 2 1 1
-1 1 2 2
-1 2 -1 -2
0 0
2 -1 -1 -2
1 -1 -2 1
0 1...

output:

-0.268727705112961 -0.982164090368609
-0.557315936626281 -2.690587138863001
-0.603550295857988 -1.248520710059172
-0.162162162162162 0.972972972972973
-2.230769230769231 -0.846153846153846
0.529411764705882 0.882352941176471
-2.000000000000000 -3.000000000000000
1.312373225152130 1.336713995943205
-...

result:

ok 200000 numbers

Test #4:

score: 0
Accepted
time: 122ms
memory: 3640kb

input:

100000
-2 -3 1 1
0 -3 3 3
-1 1 0 3
-1 -2
-3 1 -3 -1
0 -1 2 3
-2 0 -2 1
2 3
-2 1 3 -1
3 -1 3 -2
2 1 0 -3
-3 -1
-1 2 0 3
1 1 -3 -3
-1 -3 2 -3
2 1
0 -3 1 2
-3 -2 0 3
-2 2 2 -3
2 -3
-3 0 -3 2
0 0 -3 1
0 1 0 3
3 0
-3 -3 0 -3
1 1 3 -2
1 0 2 0
-1 1
-3 1 -3 2
-2 3 2 3
0 2 -2 -3
-1 -1
1 -2 1 1
1 1 -2 -3
-1 0...

output:

1.313513513513513 2.318918918918919
11.333333333333334 -22.333333333333332
3.041260744985673 -1.188538681948424
-1.411764705882353 -2.647058823529412
1.031596224866639 1.575297496922446
-3.666666666666667 2.000000000000000
1.333333333333333 -5.333333333333333
-4.333333333333333 -0.000000000000000
5....

result:

ok 200000 numbers

Test #5:

score: 0
Accepted
time: 172ms
memory: 3584kb

input:

100000
-4 -1 -3 1
-3 -4 -2 -2
-1 2 -4 -4
-1 2
1 0 1 4
-3 0 4 -4
-1 -2 -3 -1
3 4
-2 3 2 3
-3 2 4 0
2 -3 -2 0
1 -4
1 1 1 -3
3 1 -4 1
2 -3 -1 4
3 4
3 -2 3 1
4 -3 1 2
3 -1 -2 0
2 0
-2 -4 3 -2
2 1 3 1
-1 1 -1 -1
-4 -2
2 4 0 -2
-1 -2 -1 -4
0 -1 1 -3
1 3
-2 -2 -4 1
4 3 0 2
-2 -1 0 4
0 2
-3 0 -3 -1
-1 1 -4 ...

output:

-4.000000000000000 -4.000000000000000
2.472399767576990 1.445090063916328
-1.850992300184362 -0.274590608393884
-8.808298488259890 4.633000964940496
-1.171974522292994 2.815286624203821
2.785714285714286 -2.857142857142857
0.052451539338655 -2.079817559863170
0.049797898140663 2.210347615198060
-3.4...

result:

ok 200000 numbers

Test #6:

score: 0
Accepted
time: 165ms
memory: 3812kb

input:

100000
2 -1 -3 4
3 5 1 -5
-1 -2 0 -4
5 1
-3 2 1 0
3 -3 2 -5
-4 -4 2 1
3 3
3 -3 2 -2
3 5 -2 5
2 -3 0 3
-2 -1
-4 2 1 1
-2 5 1 5
4 -3 2 5
-1 2
-4 4 -5 2
-3 -1 5 5
-5 3 4 -4
-1 0
5 -1 -1 -3
2 3 -3 -5
-4 -1 -5 2
5 2
-1 -4 -2 2
-5 5 -1 2
-3 4 -3 -1
-1 -1
1 -3 -1 -3
-5 -3 -4 0
-2 -1 -4 2
0 4
0 -4 -4 -2
-4 ...

output:

1.816354696799793 -4.945829379798154
0.946127071536184 -1.116473583043275
-1.542493677676450 4.473829412215496
1.577540106951872 4.401069518716578
4.030285035629453 5.621733966745843
-1.925716036146424 -3.670240465614949
-2.089336578797452 1.939406494380859
-6.391167192429022 -0.593059936908517
-4.0...

result:

ok 200000 numbers

Test #7:

score: 0
Accepted
time: 170ms
memory: 3636kb

input:

100000
-6 6 -2 4
-5 5 3 -6
-1 4 -6 -4
1 5
-4 -3 -4 5
6 -3 1 4
-3 5 4 3
-1 5
5 -2 -5 2
-2 3 5 5
2 2 -3 0
2 4
-1 -6 2 1
-6 -5 4 -4
-5 -6 3 3
1 5
-3 5 1 1
5 5 -4 0
-1 4 6 -3
2 -5
3 1 -2 -4
4 3 3 -3
-5 -6 2 -2
2 0
4 -4 5 -4
6 3 0 1
3 4 -2 -1
6 -4
-5 6 -6 -3
-3 2 3 3
5 -3 -5 -6
2 -2
-3 5 3 -5
0 3 4 3
1 -...

output:

-6.309906858594411 -3.307366638441998
3.365726447048949 3.642666586733012
-3.795572958803922 -2.487427591340086
1.750836742283377 0.544440312383786
-2.149610846786392 -0.907648304502076
0.872600876530150 -1.883633066344265
6.092863541355628 -2.229322185727083
-4.667996272222268 -6.481988904073507
-3...

result:

ok 200000 numbers

Test #8:

score: 0
Accepted
time: 159ms
memory: 3768kb

input:

100000
-2 -1 -3 0
4 -4 -2 6
2 -1 -7 0
0 -6
-1 0 1 -2
-2 -3 2 -5
3 -2 -1 5
6 -1
1 5 -6 7
-6 -3 -3 2
7 -2 -3 -3
-3 -4
1 7 -5 -2
-5 -4 -5 -4
2 0 1 6
7 4
1 -3 6 -7
-6 -6 1 -5
4 -2 1 1
-3 -3
-5 0 2 7
-2 2 -5 1
3 -4 -1 6
6 4
-7 4 3 -2
-5 4 7 -7
0 2 0 2
2 -3
-7 1 4 -6
0 5 2 -6
4 -2 4 -5
-2 3
1 -7 -1 -7
7 -...

output:

-2.131422579517651 2.030059419783293
-3.893870082342178 0.751143641354071
-2.398470467736429 1.637364288152953
-6.139589807333747 -1.605469235550031
1.866404715127701 -5.212180746561886
-1.801550096881055 6.410088130508157
0.592365006152383 0.964587941329670
3.248780487804878 -5.960975609756098
1.89...

result:

ok 200000 numbers

Test #9:

score: 0
Accepted
time: 179ms
memory: 3804kb

input:

100000
6 1 3 5
7 -1 2 0
-3 -6 0 3
-6 -8
4 8 -4 7
-2 -5 -2 7
-2 -8 -4 -5
-7 -8
4 -7 -1 -5
2 5 -7 0
-4 0 -7 -5
-7 1
8 2 2 0
1 6 -6 3
0 -7 5 0
2 -5
-7 6 8 5
-5 3 -8 8
-5 0 -1 -8
5 -4
-1 6 -5 8
6 -7 4 5
-4 3 -6 -6
3 2
5 -2 1 5
6 -6 -4 0
3 5 -6 3
-8 2
-4 3 2 -8
6 0 3 7
-4 -8 -4 2
-5 0
-7 3 -3 -3
1 -8 -6 ...

output:

-0.120524504789361 3.034501999442016
-4.005907740781463 5.584209921722435
-8.429934825729669 -5.987339189572117
4.602292604860620 -0.542856079496818
3.464705882352941 -2.041176470588235
0.630072895864059 5.112222935734498
-5.269035532994923 2.233502538071066
-4.732206345883090 -6.242760088432853
-2....

result:

ok 200000 numbers

Test #10:

score: 0
Accepted
time: 174ms
memory: 3768kb

input:

100000
9 -3 3 4
-4 -6 -1 6
5 5 1 9
-1 -9
2 -7 4 -9
-4 -7 -4 -5
3 3 1 -4
-8 3
-8 -6 -8 9
-9 -4 -1 8
6 7 7 -3
6 -8
7 1 6 -3
2 0 6 -2
5 2 -1 -5
5 -2
6 -5 -5 1
-4 -8 -1 9
7 -7 8 1
2 -8
2 9 -6 -1
6 3 -4 5
3 3 9 8
4 -9
-2 3 9 2
-7 -6 9 9
-7 9 1 3
-9 -4
3 -1 -6 -7
9 4 -7 2
4 0 -3 -5
-7 -8
8 -3 5 -9
-9 1 1 ...

output:

-0.940805671480207 5.363530007508425
-0.427089404359482 -3.365310642265998
6.205317609794531 -8.463662470503481
6.158889545186060 -2.382161842882457
-1.629582412764706 11.371923185638552
-9.705901508846836 3.353294496508304
9.209075412304829 10.567479946873595
-10.687899399260957 -2.079464937975644
...

result:

ok 200000 numbers

Test #11:

score: 0
Accepted
time: 169ms
memory: 3640kb

input:

100000
1 -6 6 -6
7 6 3 4
9 -7 8 -9
6 -2
6 -9 -1 0
-6 -10 -5 -1
9 -10 -7 7
-2 -6
10 0 -1 -7
-5 -8 2 -1
6 6 1 -4
-7 6
-1 -2 -10 2
-5 7 -1 -10
-7 -5 6 -8
-6 -8
6 6 0 -5
-5 -1 -4 4
-10 -4 2 -6
-7 7
10 6 1 -10
-4 -4 -3 6
-1 -8 7 -1
10 -2
-1 -2 3 1
2 -9 -6 -1
7 -5 3 4
1 7
2 1 9 -5
7 -8 -4 -7
5 -6 6 7
-9 4...

output:

9.397932000529382 -4.725585826171161
-4.610935139613079 -0.753618244724916
1.813971728114411 -2.473520382840791
8.032270112795995 -10.880705161724061
0.668225860340795 -4.396926161042432
3.426765683682826 -9.996291488280900
2.386955394856971 1.932308899313282
9.105260114403613 -6.992107862299314
-4....

result:

ok 200000 numbers

Test #12:

score: 0
Accepted
time: 186ms
memory: 3644kb

input:

100000
6 -8 -8 -3
-7 4 -9 -9
10 -8 -11 2
0 1
-6 9 10 9
-4 1 5 -4
9 -7 -10 -8
-9 -4
8 8 7 -1
-10 -7 -11 -10
1 -3 -1 10
5 9
2 -8 9 8
-2 0 5 3
3 -9 -2 0
-2 -2
7 -6 5 4
-9 -7 -7 -2
9 11 7 -7
-7 -7
6 -7 -1 -10
-10 -9 3 -11
-4 -1 0 9
-11 5
-11 1 -11 9
-7 5 4 -6
-8 10 -11 2
3 2
-3 11 -6 0
0 11 0 11
5 4 -9 ...

output:

-9.641562964814444 -7.839370782097038
-0.612303383188504 -0.743837944584709
8.611786774662409 -1.485645427779917
5.124889376347340 3.048886199462955
-7.682534316725500 -0.430414615663984
2.663172955347042 -7.116889598722300
-8.116446477322116 5.061364681657264
-8.475793144513322 1.651335909706499
-7...

result:

ok 200000 numbers

Test #13:

score: 0
Accepted
time: 184ms
memory: 3588kb

input:

100000
-6 -2 -12 -5
-6 5 9 -10
12 5 12 8
7 -2
1 0 8 0
-10 -10 9 3
-9 12 -3 6
-4 -9
-1 -3 -12 8
0 -8 11 -2
11 -2 -6 11
3 -8
0 -3 -3 11
10 1 -10 7
-8 -3 -1 1
-12 -2
-7 -1 -8 1
1 8 12 10
12 -2 2 -10
-7 4
-6 -12 -8 8
-10 3 -6 -1
-3 0 -2 12
6 10
11 -11 -10 9
9 -12 -4 -1
10 -6 -8 -7
5 1
-10 4 -10 4
-10 9 ...

output:

11.013882132318944 14.485141047044957
8.767393060502620 2.103428854021311
-1.186562201856081 7.644713637283529
-3.769230769230769 -0.153846153846154
-9.165900180385051 7.093457806118018
-4.583897363336409 6.685280204646166
-5.561061946902655 -7.184070796460177
2.539220333150450 -3.116357550750092
-4...

result:

ok 200000 numbers

Test #14:

score: 0
Accepted
time: 188ms
memory: 3768kb

input:

100000
12 -13 -8 -3
1 -5 8 -7
-3 2 -6 12
-13 8
2 11 -7 6
-13 -11 8 -13
-7 8 3 13
-5 1
-3 -11 -9 0
-4 11 6 9
6 9 -12 13
11 13
-2 -5 -3 -6
5 -11 -5 -3
-12 -13 -10 6
-3 3
4 -13 -3 0
13 -4 -12 13
-2 -2 4 -6
-3 12
11 -4 0 13
-1 2 3 8
-6 12 -8 -4
-13 -2
-12 -4 10 -2
-10 -13 3 13
-7 -10 -7 -4
-7 13
8 -12 7...

output:

-7.335360872263206 5.110779735004140
14.806845551651653 74.786644621100223
-8.949423614563194 9.235864818473484
-6.692056245187957 -6.843709336827271
9.666674782386181 1.097874000201677
12.910265370100438 15.659431720612607
16.645082083209992 -4.313471566756635
6.034002016235260 -7.816828187952467
-...

result:

ok 200000 numbers

Test #15:

score: 0
Accepted
time: 202ms
memory: 3816kb

input:

100000
-10 13 0 3
14 13 11 -3
7 4 -1 -8
-13 9
-7 1 -8 -8
-6 -12 -14 11
10 12 -13 -2
-8 14
7 6 6 -11
-12 -11 -9 4
-12 12 -12 1
10 -6
-14 4 -5 -14
14 -12 -3 11
2 11 -8 1
10 1
-4 -14 -4 -4
-6 -2 -4 14
0 -5 -6 -2
3 1
-4 12 -6 1
12 2 9 5
-13 -6 -14 4
-6 8
-2 2 -1 -10
14 -9 -5 0
4 -14 -3 -7
-8 -10
0 13 10...

output:

-1.187920126403673 3.455980441242449
-13.759338445771636 -4.633636074495530
-3.460191596576195 4.180226125178007
-4.726109241950939 5.799971742398808
-4.272163602741216 -0.904383770259980
-7.729518291730993 0.012055716491179
-1.527735808331535 -8.303475070148931
9.016926077561262 -7.526332082427602
...

result:

ok 200000 numbers

Test #16:

score: 0
Accepted
time: 187ms
memory: 3588kb

input:

100000
14 -14 -7 -15
-10 -2 -5 -5
-9 12 15 -12
-1 14
-8 -9 15 -9
-13 6 7 9
12 10 9 1
6 -11
-11 9 -6 2
-3 11 -8 3
10 -2 -8 -13
-11 -13
-9 -12 14 2
0 1 4 -3
5 10 14 3
5 7
11 -10 0 -11
6 4 11 -2
-1 -4 4 -12
6 -7
1 -3 -2 -7
12 -11 -6 8
15 -1 12 -1
-10 9
-10 -6 4 4
11 13 14 -11
-10 12 -10 11
-12 -7
14 6 ...

output:

4.428658017083094 -18.126991529864558
10.419613597657074 -2.047225359011512
-3.263708063302651 -0.665963760983810
13.834557705511875 3.176504677222852
0.811301724403019 -12.962033066717689
0.717283158579100 -3.843111792720180
3.435480587826355 3.521875979383774
-1.941967674393087 14.576659456810759
...

result:

ok 200000 numbers

Test #17:

score: 0
Accepted
time: 197ms
memory: 3636kb

input:

100000
9 5 -15 2
-2 -11 5 6
-13 -10 15 -1
-9 6
16 -7 -12 -4
13 -9 -12 -10
-16 -10 -11 13
16 -14
-15 -11 -2 -1
-14 2 -1 -2
-15 5 -7 6
10 3
-12 -6 -14 3
-16 1 9 13
-7 -6 -8 -3
-16 3
5 8 9 6
-15 10 -4 -14
7 -13 -3 -9
-8 11
11 -5 -8 -3
-8 15 -3 14
3 -8 10 11
4 -9
-7 11 -14 11
16 -7 11 -15
12 14 14 -7
2 ...

output:

-0.982729396993687 -15.501844941233914
-3.665198209446243 -3.780295645370164
-2.327865741585807 -1.047988419018978
11.302677934099334 7.154919523820489
-4.909148383624533 -16.273543705845928
9.008945415595131 8.258780161828069
4.069824243080184 -13.380125673970126
4.962757268353490 -9.51007486382508...

result:

ok 200000 numbers

Test #18:

score: 0
Accepted
time: 195ms
memory: 3744kb

input:

100000
1 12 -13 4
6 -2 -14 -2
14 -2 2 -9
-9 4
14 -16 7 16
16 -4 11 5
13 -16 -2 -16
-10 -6
14 -15 -17 -15
-11 17 -9 3
-4 -13 -1 1
4 -14
9 -11 -16 8
-2 -11 -10 9
-9 -13 13 12
1 17
17 13 10 13
14 -13 6 4
3 15 14 12
10 -13
2 -8 -5 -14
-5 9 9 2
1 -10 -3 -11
-2 8
7 -8 -1 -15
15 5 10 4
-14 4 6 6
-2 3
1 -12...

output:

-15.100627686363934 3.573868783521422
10.461274574399718 4.518654966341058
8.417568732172120 -6.270556533349517
-17.907437819840343 3.232653730572770
7.060698951215030 2.118412948733831
10.483340777768484 4.023308496799486
5.875137587829863 4.156460023168997
11.916747525713177 10.898311663108869
-14...

result:

ok 200000 numbers

Test #19:

score: 0
Accepted
time: 209ms
memory: 3764kb

input:

100000
15 6 5 12
-6 -6 -4 -12
-7 8 4 3
-11 -5
-1 10 -2 -2
3 -2 -4 14
-17 13 -12 -2
10 0
-6 -16 -13 -5
0 4 9 -13
11 16 -10 -8
-1 0
-9 13 -12 -4
12 -18 -7 8
-6 11 -8 -3
-16 0
11 5 15 10
14 -9 13 -18
-13 -14 5 -4
-15 13
8 -18 -17 16
-3 1 3 -11
11 17 14 15
0 11
15 -8 14 11
-8 12 -14 18
4 12 11 7
-16 3
-...

output:

-3.306203711571417 -2.915417578144140
-5.410263295057887 8.090313205818710
-13.036730499035389 6.643718810749591
0.967684186366766 29.467156300206565
4.315480536916850 0.255876378206925
14.430447072125197 2.669929264367079
16.574948329048588 18.616325530480132
-4.434330407355053 11.147879650013932
-...

result:

ok 200000 numbers

Test #20:

score: 0
Accepted
time: 198ms
memory: 3744kb

input:

100000
-11 -2 12 -10
-7 -13 2 -5
-15 -6 -14 -16
12 -2
3 1 6 -16
-1 -5 -14 -18
0 3 -7 -14
-7 17
16 17 -10 13
-3 18 -18 5
-15 1 -16 12
19 0
-15 -18 13 -9
-5 3 -14 9
-6 9 10 15
-4 14
10 -19 -9 14
-13 6 -12 -15
10 2 -6 7
16 -1
14 12 -15 11
-2 -17 11 0
18 16 -17 -13
-6 4
-16 -18 3 -5
15 -10 -12 -1
-18 -1...

output:

3.698873266633814 -7.693539574632901
-12.204848147116188 -12.098746168849262
-12.961117016212848 13.920704090937344
11.852502385753647 7.536280653890278
-7.696875014816536 8.509124615362733
6.798057260265246 1.432690948793564
-11.904624842061009 -2.037710575800434
-28.253314344701487 -5.533476698306...

result:

ok 200000 numbers

Test #21:

score: 0
Accepted
time: 203ms
memory: 3644kb

input:

100000
9 -1 10 -3
-12 3 10 -10
-7 20 -5 -20
-5 -3
-12 8 7 0
-8 15 0 -4
-6 -3 -11 8
4 11
16 6 3 -12
20 -14 11 -5
-6 10 17 2
-4 -13
8 14 -14 -13
10 4 4 -9
4 -2 -6 -16
-11 1
1 -1 13 9
0 15 -6 3
16 -2 12 8
11 -14
1 -11 -4 16
-20 1 -12 10
16 -13 2 -18
-7 17
-18 3 -4 15
-17 8 4 -11
2 -16 -16 17
-18 10
12 ...

output:

10.298825501680328 -6.952922897364447
-5.112847030805530 -2.082813292465104
14.185697712476243 -3.236903039165197
-9.068810513528890 -16.065232879380424
11.908925676601394 8.588148997736747
-15.219570227990243 9.760576541341104
-40.208795137647478 -89.096531998569901
4.726367949584157 -18.5697077584...

result:

ok 200000 numbers

Test #22:

score: 0
Accepted
time: 196ms
memory: 3620kb

input:

100000
-13 -26 -29 14
28 -9 -14 3
-25 1 -19 30
2 14
-13 -6 5 5
-8 11 -29 28
22 -9 -7 16
-23 20
30 19 2 -10
-2 15 0 -9
1 4 -16 -4
10 1
-7 -27 -23 -6
-18 -9 -2 -24
-3 30 23 28
-7 -8
25 9 3 -22
-8 -26 0 14
-19 -23 29 6
12 29
-7 17 -4 -16
-4 14 24 -25
-13 -22 -24 -16
22 11
-4 -18 17 11
-3 -21 -16 -30
21...

output:

-6.801053399419870 15.486678866159473
-3.122996686837026 31.510311175611019
3.700840757937006 -12.298657297025976
-25.847971094038414 -48.935200841315336
6.950077672670269 -23.066737987082739
-25.672683953174690 -9.197737253546732
-28.230749942239424 -2.758479843234706
13.595473783548615 -5.62950440...

result:

ok 200000 numbers

Test #23:

score: 0
Accepted
time: 206ms
memory: 3616kb

input:

100000
37 12 -7 8
-26 -32 -10 10
37 -35 -33 30
-8 -4
-16 -19 -35 30
40 37 -3 -17
-12 -15 -4 14
26 4
19 13 -3 38
33 -2 0 -40
19 31 12 -20
10 -10
17 -7 -34 -3
-25 34 -15 10
15 37 -38 38
14 7
-29 -7 -24 11
-26 19 -20 38
-19 -34 -6 6
34 36
-29 31 17 -38
-6 -32 -24 34
-31 -14 21 -8
9 -23
10 3 -33 14
-23 ...

output:

-9.545669186892948 8.839872212577561
-3.614552909013341 -14.289659252473303
15.694016888016579 -44.233300134257767
-39.805392938375327 -11.444156244685754
2.920865041379892 26.581086459710011
-47.884300342270031 -14.762837362170199
17.863090701467971 19.018154067504259
-22.055401621429272 13.3422839...

result:

ok 200000 numbers

Test #24:

score: 0
Accepted
time: 219ms
memory: 3744kb

input:

100000
-32 -37 -23 -22
43 34 -4 41
-50 -18 30 41
43 47
-39 -20 49 -5
-20 -35 9 18
-16 1 48 -39
-41 -7
-31 -34 49 -34
-27 39 -46 17
-1 -34 -39 -47
-49 6
-45 -3 -47 -3
-23 -44 46 29
40 -21 19 33
-9 -2
39 43 -4 22
-45 29 -7 -14
-41 38 -1 -38
-49 -20
28 -30 8 -11
43 -30 -30 -6
-8 30 22 19
13 -4
37 -15 -...

output:

-3.243656495392057 40.847811542657773
55.383126307051519 -15.538049477894301
-31.105236000791457 40.339336774793303
12.048814895714498 16.928562873934791
-4.955719349751138 7.709238579750805
29.263242849553041 10.149471026950398
-55.597351687969365 20.698805760007524
103.562192471448810 30.609863828...

result:

ok 200000 numbers

Test #25:

score: 0
Accepted
time: 198ms
memory: 3812kb

input:

100000
22 -47 -50 24
-39 -52 -47 -34
-30 -15 -22 -12
-46 26
-5 -60 -25 -32
-48 -29 -1 10
30 15 -12 -37
44 -19
-28 3 -17 42
-39 -21 -56 22
15 36 30 53
-49 40
-44 -43 13 18
-43 -48 49 -47
-14 -9 -59 -53
-10 24
-17 59 29 -50
-34 -27 9 -50
57 54 21 31
6 -37
-44 22 -37 -11
47 9 -44 -39
28 50 47 16
40 23
...

output:

-34.213243915127393 -5.782318918727531
-15.586300566944157 -36.799555685751272
-3.643892438844428 81.546712757839089
-52.471115655944310 -53.058948272068115
2.144939870984126 -50.464418851182174
-34.243961373404694 -50.809903562711909
-41.999125172493912 -47.000178286790153
-38.596391988097409 46.39...

result:

ok 200000 numbers

Test #26:

score: 0
Accepted
time: 229ms
memory: 3748kb

input:

100000
43 -29 -20 -44
27 -41 -50 52
42 24 -22 12
60 -42
15 60 25 -40
7 -67 44 65
59 59 -37 10
-59 46
-60 -13 -63 -67
16 -20 -68 -28
-58 39 -21 19
-38 -42
20 -45 -33 17
60 -36 62 -67
-11 -63 -12 -17
-24 55
14 38 -5 -15
61 34 -45 36
5 -54 -66 50
1 7
59 15 42 -56
-47 4 13 56
54 -38 62 -41
-27 -3
15 -28...

output:

8.032415711200480 14.368698463754457
111.963039643918293 29.391042314113363
-65.721992975543571 -42.751284027298112
-11.272521973775646 -43.569258358547771
-78.248673989848555 88.793879000700315
65.627423003835034 144.607760793340731
13.686428554910758 -47.286812197210338
-95.714544565924555 -25.823...

result:

ok 200000 numbers

Test #27:

score: 0
Accepted
time: 197ms
memory: 3816kb

input:

100000
-62 -2 80 21
8 -52 -41 -9
-23 18 59 -36
80 64
45 65 -5 -60
-34 -15 -60 -22
9 -10 42 53
5 71
59 7 11 37
-58 12 35 -15
-45 -63 58 -80
62 -27
36 65 61 -38
73 -64 13 79
-9 -24 -71 -30
59 52
59 -16 -29 -75
-17 21 32 60
-51 36 22 -69
66 -63
56 -75 -75 70
-34 -13 -55 8
-11 -24 -70 5
-19 -73
22 -47 5...

output:

20.142486020347864 -154.515075377659400
-16.367894905259984 -67.406210150792802
-0.039588386212022 58.964189431953045
81.959084471820859 -24.795654092083357
-23.817256614690265 -80.228643100716297
-65.553151009581811 31.215000980938406
-35.054591060788660 -14.901894630223357
76.942603157575007 39.18...

result:

ok 200000 numbers

Test #28:

score: 0
Accepted
time: 224ms
memory: 3744kb

input:

100000
-88 -48 -22 59
-77 74 -11 44
-88 -47 -90 -14
81 -79
57 23 -90 -55
18 61 -34 54
76 68 -37 33
-82 11
-5 37 -27 -86
-71 -53 74 15
-21 47 74 -83
-46 12
-30 -58 6 2
-28 2 -33 7
-22 -80 -84 -61
6 24
-19 -69 -87 34
54 82 66 48
-39 -63 -41 -29
-25 -89
47 47 16 21
88 -39 41 -24
86 -31 -69 -15
-67 47
-...

output:

-10.991303613658868 44.190782397485705
-17.671897290805241 47.960183681132591
64.304569876151419 -11.274234066357620
-37.320488021329474 7.507647256797970
-32.948478335070746 34.350073897316058
18.390285914422158 20.187385050114500
13.433640327286959 -87.900207053963257
61.297741791206882 -58.123133...

result:

ok 200000 numbers

Test #29:

score: 0
Accepted
time: 220ms
memory: 3544kb

input:

100000
53 7 91 -58
86 -8 -4 -97
4 45 -61 82
-84 57
87 -48 -23 92
98 27 19 18
-51 -65 -76 -61
-64 -43
-42 42 -29 -59
-82 29 94 68
90 -79 22 -82
-54 -8
69 -61 -7 -64
25 26 -17 -18
35 48 15 -36
41 91
-85 7 -29 27
95 6 32 -85
88 44 75 -83
67 55
81 27 5 -26
2 -9 67 71
-12 88 -47 35
45 -95
8 45 15 -20
57 ...

output:

-69.749776228709948 10.295118161066615
-59.246613926465571 -64.094758211399622
19.046431433378274 -138.394730436183522
17.108908245913870 -57.883258098151877
89.560382721405347 -52.902563182514321
23.049497386362468 22.109587389299904
23.242666660762016 -23.875987345621159
15.934524220496986 31.5133...

result:

ok 200000 numbers