So, it is time to take stock of the last May habrasorena . It was sent 49 decisions that meet the requirements for registration and 8 decisions out of the competition (later on the deadline, with design errors, to the wrong address). Well, let's see who wrote what.

Although in the discussion of the topic with the task, people were worried that the most compact and the fastest solution were two different things, it turned out that the decision of the lany winner was also the most compact, satisfying all requirements. The solution Frommi was twice as compact, 863 bytes - but could not pass all the tests. The next ibessonov solution was 1613 bytes — but it suddenly showed a big mistake on the first test.

If my readers do not find an error, the top three winners will look like this:
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1. lany - double winner, 89.9448 points and the most compact solution.
   The largest test (2.4GB) passed in 0.61 seconds.
   
   Watch the source

   //@lany public class G{java.io.InputStream I=System.in;int c,i=0,j,m,M;double[]S=new double[512],C=new double[512];byte[]P="111001100011101101".getBytes(),d=new byte[999999];double N=4.0678884e13,L=29.9792458,X,Y,q,F,G,H=1e99;S[]z;S f,g;class S{double x,y,r,q,R,Q;S(){x=new Double(l());y=new Double(l());try{I.read(d);I.skip(9000001);}catch(Exception e){}q=L*o()+L/2;Q=q*q;r=qL;R=r*r;l();}int o(){int o=0,p;for(;;o+=10){for(p=0;p<18;p++)if(P[p]!=d[o+p*10])break;if(p==18){while(d[--o]>48);return o+1;}}}}void u(double X,double Y){if(X*X+Y*Y<N){double S=d(X,Y);if(S<H){H=S;F=X;G=Y;}}}double d(double x,double y){double q=0,Q=-1,X,Y;for(S s:z){X=xs.x;Y=ys.y;X=X*X+Y*Y;if(X>sQ)q+=Xs.Q;else if(X<sR)q+=sR-X;else if(q==0){Y=Math.sqrt(X);Q*=Math.min(sq-Y,Ys.r)*.1;}}return q>0?q:Q;}void b(double r,double R){if(r+R>q){double d=Math.abs(r*rR*R+q*q)/2/q,h=Math.sqrt(r*rd*d),x=f.x+X*d,y=f.y+Y*d;u(xY*h,y+X*h);u(x+Y*h,yX*h);}}String l(){char[]o=new char[99];int p=0,b;try{while((b=I.read())!=10)o[p++]=(char)b;}catch(Exception e){}return new String(o,0,p).trim();}public static void main(String[]a){new G();}G(){for(;i<512;i++){q=Math.PI*i/256;S[i]=Math.sin(q);C[i]=Math.cos(q);}c=new Short(l());z=new S[c];for(i=0;i<c;)z[i++]=new S();for(i=1;i<c&&H>0;i++)for(j=0;j<i&&H>0;j++){f=z[i];g=z[j];X=gx-fx;Y=gy-fy;q=Math.sqrt(X*X+Y*Y);X/=q;Y/=q;b(fq,gq);b(fr,gq);b(fq,gr);b(fr,gr);}double x=F,y=G,r=d(x,y),t=r<1e10?1e3:3e6,u,v,w,R;while(t>.1&&(i++<999||r>0)){R=r;X=x;Y=y;for(M=4;M<513&&R==r;M*=2){for(m=0;m<M;m++)if(M<5||m%2>0){j=m*512/M;u=x+S[j]*t;v=y+C[j]*t;if(u*u+v*v<N){w=d(u,v);if(w<R){X=u;Y=v;R=w;}}}}if(R<r){x=X;y=Y;r=R;}else t/=2;}System.out.println(x+" "+y);}} 

2. @AKashta - 86.9558 points, on the biggest test, twice as fast as lany , but lost a little in accuracy.
   
   Watch the source

    //@AKashta import java.io.*; import java.util.ArrayList; public class Main { public static final boolean ADVANCED_MODE = true; public static final int MAX_POINTS = 50; public static final double PRECISION = 30; public static final int THRESHOLD = 300; public static final String START_TOKEN = "111001100011101101"; public static final long DATA_LENGTH = 10000000; public static final long SPEED = 299792458; public static final long EARTH_R = 6378000; public static final long MIN_SAT_POS = 10000000; public static final long MAX_SAT_POS = 20000000; public static final int MIN_OFFSET = (int)((MIN_SAT_POS - EARTH_R) * DATA_LENGTH / SPEED); public static final int MAX_OFFSET = (int)((MAX_SAT_POS + EARTH_R) * DATA_LENGTH / SPEED); public static void main(String args[ ]) { //long startTime = System.currentTimeMillis(); try { DataInputStream in = new DataInputStream(System.in); DataReader reader = new DataReader(in); Point result = null; int q = reader.readInt(); ArrayList<Circle> sats = new ArrayList<Circle>(q); for(int i = 0; i < Math.min(q, MAX_POINTS); i++) { double x = reader.readDouble(); double y = reader.readDouble(); int offset = reader.readOffset(); double radius = ((double)SPEED / DATA_LENGTH * offset); sats.add(new Circle(new Point(x, y), radius)); } if(sats.size() == 2) { ArrayList<Point> points = sats.get(0).intersect(sats.get(1)); for(Point p : points) { result = p; break; } } else { if(ADVANCED_MODE) { result = advancedCalc(sats); } else { result = simpleCalc(sats); } } System.out.println(result.x + " " + result.y); //long time = (System.currentTimeMillis() - startTime); //System.out.println("Time: " + time); } catch (Exception e) { System.out.println(e.getMessage()); } } public static Point findRefPoint(ArrayList<Circle> sats){ ArrayList<Point> points = new ArrayList<Point>(); for(int i = 0; i < 2; i++) { for(int j = i + 1; j < 3; j++) { points.addAll(sats.get(i).intersect(sats.get(j))); } } Point p0 = null, p1 = null, p2 = null; for(Point p : points) { for(Point t : points) { if(p1 == null && t != p && p.distance(t) < THRESHOLD){ p1 = t; continue; } if(p1 != null && t != p && t != p1 && p.distance(t) < THRESHOLD){ p2 = t; break; } } if(p1 != null && p2 != null) { p0 = p; break; } else { p1 = null; p2 = null; } } return new Point((p0.x + p1.x + p2.x) / 3, (p0.y + p1.y + p2.y) / 3); } public static Point advancedCalc(ArrayList<Circle> sats){ ArrayList<Point> allPoints = new ArrayList<Point>(); for(int i = 0; i < sats.size() - 1; i++) { for(int j = i + 1; j < sats.size(); j++) { allPoints.addAll(sats.get(i).intersect(sats.get(j))); } } int count = 0; double sumX = 0; double sumY = 0; for(Point p : allPoints) { boolean containsInAll = true; for (Circle sat : sats){ if(!sat.hasPoint(p)) { containsInAll = false; break; } } if(containsInAll) { count++; sumX += px; sumY += py; } } return new Point(sumX / count, sumY / count); } public static Point simpleCalc(ArrayList<Circle> sats){ int count = 0; double sumX = 0; double sumY = 0; Point refPoint = findRefPoint(sats); for(int i = 0; i < sats.size() - 1; i++) { for(int j = i + 1; j < sats.size(); j++) { for(Point p : sats.get(i).intersect(sats.get(j))) { if(refPoint.distance(p) < THRESHOLD) { count++; sumX += px; sumY += py; } } } } return new Point(sumX / count, sumY / count); } public static class DataReader { private DataInputStream _in; public DataReader(DataInputStream in){ _in = in; } public int readOffset() throws Exception { byte firstByte = _in.readByte(); int offset = 1; while( _in.readByte() == firstByte) { offset++; } int needToSkip = ((MIN_OFFSET - offset) / 10) * 10; _in.skipBytes(needToSkip); offset += needToSkip; byte[] buffer = new byte[MAX_OFFSET - offset]; _in.read(buffer); _in.skipBytes((int) DATA_LENGTH - offset - buffer.length - 1 + 2); StringBuilder sb = new StringBuilder(buffer.length / 10); for(int i = 0; i < buffer.length / 10; i++ ){ sb.append((char) buffer[i * 10]); } int index = sb.indexOf(START_TOKEN)* 10; return index + offset; } public String readLine() throws Exception { StringBuilder sb = new StringBuilder(); char c; while((c = (char)_in.readByte()) != '\r') { sb.append(c); } _in.readByte(); // read '\n' char return sb.toString(); } public int readInt() throws Exception { String s = readLine(); return Integer.parseInt(s); } public Double readDouble() throws Exception { String s = readLine(); return Double.parseDouble(s); } } public static class Point { public double x; public double y; public Point(double x, double y) { this.x = x; this.y = y; } public double distance() { return Math.sqrt(x*x + y*y); } public double distance(Point p) { return Math.sqrt(Math.pow(x - px, 2) + Math.pow(y - py, 2)); } } public static class Circle { public Point center; public double radius; public Circle(Point p, double r) { center = p; radius = r; } public ArrayList<Point> intersect(Circle c) { ArrayList<Point> result = new ArrayList<Point>(); double dx = c.center.x - center.x; double dy = c.center.y - center.y; double d = Math.sqrt((dy * dy) + (dx * dx)); if(d < Math.abs(radius - c.radius)) { if(radius < c.radius) radius += Math.abs(radius - c.radius) - d + 0.1; else c.radius += Math.abs(radius - c.radius) - d + 0.1; } if (d > (radius + c.radius)) { double add = (d - (radius + c.radius))/ 2.0 + 0.1; radius += add; c.radius += add; } if (d > (radius + c.radius) || d < Math.abs(radius - c.radius)) { //System.out.println("do not intersect"); return result; } double a = ((radius * radius) - (c.radius * c.radius) + ( d *d)) / (2.0 * d); Point p2 = new Point(center.x + (dx * a/d), center.y + (dy * a/d)); double h = Math.sqrt((radius * radius) - (a*a)); double rx = -dy * (h/d); double ry = dx * (h/d); Point p = new Point(p2.x + rx, p2.y + ry); if(p.distance() <= EARTH_R) { result.add(p); } p = new Point(p2.x - rx, p2.y - ry); if(p.distance() <= EARTH_R) { result.add(p); } return result; } public boolean hasPoint(Point p) { double d = center.distance(p); return Math.abs(d - radius) <= PRECISION; } } } 

3. habrunit - 83.9379 points, literally wrested the prize from the hands of Staker .
   
   Watch the source

    //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a, 0xc13b950b, 0x3921ed0c, 0x599b60d, 0x99c8400e, 0x2612640f, 0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xe96c501e, 0x80ccf81f, 0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a, 0x6688342b, 0x102a252c, 0xedec802d, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x4e5ed53c, 0x57a46f3d, 0xf6630b3e, 0xb392f53f, 0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x1c30b65e, 0x70339d5f, 0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a, 0x8742826b, 0x75e67b6c, 0x2ef696d, 0x25006d6e, 0x89daa76f, 0xbbb71870,0x2faca571, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xc9147e, 0x27a1a17f, 0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x475edc8f, 0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a, 0x855a4f9b, 0x4e66949c, 0x3a27d89d, 0xca15ec9e, 0xe443da9f, 0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xb90ac3be, 0xbb61e9bf, 0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca, 0x608471cb, 0x90c71acc, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xf37c94db, 0xe2884cdc, 0x7f92e0dd, 0x93836ade, 0x633232df, 0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x173ed9ee, 0x1d2edaef, 0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa, 0xa4ba58fb, 0x83f9f6fc, 0xedb424fd, 0xcc4d8fe, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x8a462,0x31968,0x510eb, 0x59a3c, 0x19bf6,0xa4f9b, 0xaf773,0xb15f4, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada, 0x3b1fc, 0xcfe57,0x41ccc, 0xd59e, 0xd2c03,0x67f1b, 0x2eba2,0x8952, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x0,0xc289a, 0x7ed4a, 0xd784f, 0x6e9e8,0x6238e, 0xdb54c, 0xbeb93,0x92db5,0x66fd8,0x9988a, 0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xe9a3b, 0xad8ec, 0x54df2,0x5d744,0x763fa, 0xe3ecf, 0x8d22d, 0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c, 0xcc12f, 0x81b12,0x89520,0x96abc, 0xe204a, 0x365b2, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0x885de, 0xc65a, 0x69d9e, 0xc9367,0x4a61c, 0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xdc4ad, 0x280d4,0x1e840,0x2dc6,0x7827c, 0xdf25d, 0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce, 0xe4de, 0xb5305,0x82a53, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 0xb9f48,0x8675a, 0xae834,0xceef9,0xbdc52,0x2bddc, 0x8769c, 0x7a100,0x7fc91,0x8c2ea, 0xa21d5,0x22548,0x3a2bc, 0x6050b, 0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee, 0x43b4e, //@habrunit //package olimp; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.UnsupportedEncodingException; import java.security.NoSuchAlgorithmException; import static java.lang.Math.*; public class Olimp { private static int cash[]={0xc0001200,0x10818201,0x51feba02,0x1483a003,0xb6ffc304,0x8d953105,0x1b2e7e06,0x780a707,0x59041a08,0x283b1c09,0x5818430a,0xc13b950b,0x3921ed0c,0x599b60d,0x99c8400e,0x2612640f,0xb7b0ca10,0x8c17d11,0xd35fda12,0x96863f13,0xca7ea414,0x90875415,0xc860e416,0x6239c317,0x9f39d418,0xccc48419,0x3f43d11a,0x9e366d1b,0x37fc9a1c,0x103bd91d,0xe96c501e,0x80ccf81f,0x602aca20,0xed28b721,0xcedf2d22,0xd2da9e23,0x93574024,0xebba4125,0x77fcc26,0xf8eb1a27,0xc6e09728,0x58dfe129,0xc776642a,0x6688342b,0x102a252c,0xedec802d,0xdf737f2e,0x4b5b402f,0x9c29fb30,0x93300a31,0xc30d2b32,0xabe73633,0x61f4fa34,0xf4334c35,0xd27b8a36,0xf7b63e37,0x602d9038,0x2e8aff39,0x4e62003a,0xc489143b,0x4e5ed53c,0x57a46f3d,0xf6630b3e,0xb392f53f,0xba827340,0x5b9b7e41,0x3e9d1f42,0x29b2c743,0x47f8644,0xe4d74745,0xf1263046,0x3d44e47,0xb1905148,0xd079d849,0x66f16d4a,0x281ff94b,0x4cbc284c,0xe364e94d,0x5fda1a4e,0x4628d24f,0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0x26151d59,0x5525b75a,0xd955c75b,0x51c3475c,0x8350855d,0x1c30b65e,0x70339d5f,0x78a88460,0x4cc2a361,0x12464c62,0x5a34b63,0x3fee8864,0xa8633565,0x3e23d766,0xf8cd5767,0x52432068,0x9cae0969,0x63aa1d6a,0x8742826b,0x75e67b6c,0x2ef696d,0x25006d6e,0x89daa76f,0xbbb71870,0x2faca571,0x71374172,0x9b818673,0xa0de6274,0x29326075,0xb2401776,0x8edcb677,0x7a265378,0x87dd7779,0xb726ce7a,0x99f0397b,0x81a8967c,0x97d0437d,0xc9147e,0x27a1a17f,0xabd65680,0xc405e681,0xc0107482,0xe63b7783,0x16d43984,0x37c8e085,0xc6f26286,0x151dac87,0x67c36588,0xe593b589,0x669e388a,0x5c46a68b,0xb822fe8c,0x6455d18d,0x54b49d8e,0x475edc8f,0xfa8a9690,0xa38c7d91,0xa25f6692,0x32b9a193,0x22bf7c94,0xa72cfb95,0xcaa48696,0x78639e97,0x5dca8798,0xe263e99,0x59c599a,0x855a4f9b,0x4e66949c,0x3a27d89d,0xca15ec9e,0xe443da9f,0xaeaea3a0,0xdc6cdca1,0xa3bb51a2,0xd0f12da3,0xfcd7cda4,0x959c62a5,0x9e276ca6,0x67caeca7,0xc36d51a8,0xe76712a9,0x95d4b5aa,0xe6b1a1ab,0x60979aac,0xae2d55ad,0xf73e82ae,0x87622af,0x55678db0,0xf3813ab1,0x66bd2ab2,0x640762b3,0xab7d25b4,0xce243ab5,0x565e39b6,0x9389fcb7,0xecb84db8,0x8da369b9,0x2b1138ba,0x1a1b3ebb,0xa6a40cbc,0x2659acbd,0xb90ac3be,0xbb61e9bf,0x17dc81c0,0xf9cb57c1,0x1f2c47c2,0x177c6ec3,0x68cb55c4,0x94648fc5,0xb6c33ec6,0x9e71ffc7,0x21d49c8,0x1c1f96c9,0x40fdf8ca,0x608471cb,0x90c71acc,0x83049fcd,0x31232bce,0xa755d0cf,0x2995fd0,0x8ef786d1,0xaf7ae2d2,0x49e5f9d3,0xb621d1d4,0xa30ef5d5,0x75e168d6,0x6fcb3d7,0xe83308d8,0x29c1ead9,0x6b000ada,0xf37c94db,0xe2884cdc,0x7f92e0dd,0x93836ade,0x633232df,0xe29bc4e0,0x8e761fe1,0x31a905e2,0xd46a41e3,0x159184e4,0xd3f654e5,0x6abdbde6,0x865f3be7,0x9f7c41e8,0xb6e13de9,0xae2525ea,0x62d6c9eb,0x271459ec,0x1a13ffed,0x173ed9ee,0x1d2edaef,0x44366bf0,0xc9928f1,0x3fb38bf2,0xdf3dacf3,0x1b5250f4,0xf5f486f5,0x6a7c18f6,0xfce055f7,0xde547ff8,0x35a76ef9,0x2d3666fa,0xa4ba58fb,0x83f9f6fc,0xedb424fd,0xcc4d8fe,0xe0f0baff}; private static int cashLen[]={0x328aa,0x6144d,0xb900e,0x3ef04,0x7a10,0xc65aa,0x85819,0x6acf,0x16e30,0x3c13e,0x95b7b,0xcdfba,0xdd3e0,0xbae88,0x1406b,0x2ae9a,0x7bf85,0x17d72,0x9e4cd,0x8e16a,0x754b6,0x68e5c,0xd4a89,0xd6904,0x501a8,0x496da,0x21606,0x3d080,0x98942,0x4f269,0x374f4,0x8f0af,0xa9be5,0xc74e5,0x1f782,0x3fe46,0xc0a16,0xc37da,0x8a462,0x31968,0x510eb,0x59a3c,0x19bf6,0xa4f9b,0xaf773,0xb15f4,0xc8424,0xe10f0,0xb80c2,0x97a00,0x3dfc2,0x90f31,0x94c38,0xf1440,0xa1294,0x6cb64,0xca2b1,0x9d58a,0x632d8,0x42c0c,0x112a4,0x56c76,0xf23e2,0xe8af6,0x93cf6,0x29016,0x848d6,0xac9aa,0xe2f62,0x7733a,0x4b561,0x48799,0xd3b4a,0xe5d49,0xcd078,0x80bce,0x1e84,0xe7bad,0x2dc60,0x5202c,0x10362,0x74574,0x40d88,0xb718,0x9b707,0x35670,0x13128,0xbfada,0x3b1fc,0xcfe57,0x41ccc,0xd59e,0xd2c03,0x67f1b,0x2eba2,0x8952,0xe4e0d,0xb06b4,0x7de08,0x1c9bc,0x57bb8,0x14fac,0xaba6b,0xd59c5,0x26250,0x6bc24,0xb7184,0x38436,0xee717,0x121e6,0x46916,0x9894,0xe019d,0x18cb4,0x1d8fe,0x53eb0,0x83998,0x52f6e,0x39379,0x337ec,0xa4059,0xc4724,0x6daa6,0x5a97e,0x726f0,0x66097,0x6f92a,0x717ae,0xa5ee4,0x73632,0x2348a,0x0,0xc289a,0x7ed4a,0xd784f,0x6e9e8,0x6238e,0xdb54c,0xbeb93,0x92db5,0x66fd8,0x9988a,0x4c4a0,0xe6c69,0x5f5c8,0xd1cb8,0x5b8c0,0x64212,0x1ba7a,0xf420,0x5e686,0xd878a,0xbcd0c,0x7086c,0xe9a3b,0xad8ec,0x54df2,0x5d744,0x763fa,0xe3ecf,0x8d22d,0xb6243,0x9f412,0x206c5,0x9a7c8,0x9c64c,0xcc12f,0x81b12,0x89520,0x96abc,0xe204a,0x365b2,0x7b045,0xa7d6,0x44a90,0xd0d84,0x4e325,0xb3485,0x29f58,0x55d34,0x459d3,0xb253c,0x4c4a,0x5b8c,0xda610,0xea98d,0x885de,0xc65a,0x69d9e,0xc9367,0x4a61c,0xa3117,0x8b3a4,0xd96c8,0x65154,0xde316,0x6ace0,0x3d08,0x5c803,0xbbdcd,0xb43bc,0xc565e,0xa0351,0xf33a7,0xa7d60,0x791be,0xdc4ad,0x280d4,0x1e840,0x2dc6,0x7827c,0xdf25d,0xa8ca8,0x91e73,0xf42,0x8fff1,0x47856,0x7cec6,0x243ce,0xe4de,0xb5305,0x82a53,0x2cd22,0x3472e,0x58afa,0xc195a,0xcb1ec,0xb9f48,0x8675a,0xae834,0xceef9,0xbdc52,0x2bddc,0x8769c,0x7a100,0x7fc91,0x8c2ea,0xa21d5,0x22548,0x3a2bc,0x6050b,0x1ab38,0xef5b9,0xaab26,0xeb8b3,0x15eee,0x43b4e,0x27192,0x2fae4,0xa6e29,0xec7fb,0x2530e,0x4d3e2,0xed769,0x30a26,0xf0568}; Circle circles[]; double kof=29.9792458; // static InputStream in; // final int maxLen10=10000000; final int maxLen1=maxLen10/10; final int maxLenB=16384; // final byte buf[]=new byte[maxLenB]; int posBuf=0; int lenBuf=0; public static void main(String[] args) throws UnsupportedEncodingException, NoSuchAlgorithmException, FileNotFoundException, IOException { // Pset tests[]=new Pset[]{new Pset(-1.81683e+006,-1.74334e+006),new Pset(3.06932e+006, -2.59405e+006),new Pset(3420803.233, -1950298.548)}; // long t=System.currentTimeMillis(); // // for(int i=0;i<tests.length;i++){ // in=new FileInputStream("test"+(i+1)+".in"); // Pset answer=new Pset(); // new Olimp(answer); // answer.printDlta(tests[i]); // } // System.out.println("end"+(System.currentTimeMillis()-t)); //in=new FileInputStream("test1.in"); in=System.in; Pset answer=new Pset(); new Olimp(answer); answer.print(); } double readDouble(){ while(isBR(buf[posBuf]))posBuf++; int start=posBuf; while(!isBR(buf[posBuf]))posBuf++; String s=new String(buf,start,posBuf-start); while(isBR(buf[posBuf]))posBuf++; return Double.parseDouble(s); } static final boolean isBR(final byte val){ return val==13 || val==10 || val==32; } void readMin500()throws IOException{ while(lenBuf<500){ int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } } void read()throws IOException{ if(posBuf>=maxLenB){ posBuf%=maxLenB; lenBuf=0; } int l=in.read(buf,lenBuf,maxLenB-lenBuf); if(l==-1) throw new IOException(); lenBuf+=l; } private Olimp(final Pset answer)throws IOException{ readMin500(); circles=new Circle[(int)readDouble()]; for(int sp=0;sp<circles.length;sp++){ readMin500(); circles[sp]=new Circle(readDouble(), readDouble()); int readData=0; int shift=0; { byte temp=buf[posBuf]; while(buf[posBuf+shift]==temp) shift++; shift%=10; posBuf+=shift; readData+=shift; } int data=0; for(int i=0;i<32;i++,posBuf+=10){ data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } readData+=320; m1:while(posBuf<maxLenB){ for(;posBuf<lenBuf;posBuf+=10,readData+=10){ if(cash[data&0xFF]==data){ double len= readData -320 +maxLen10-cashLen[data&0xFF]*10 ; circles[sp].r=len*kof; break m1; } data<<=1; data|=buf[posBuf]==48?(byte)0:(byte)1; } read(); } in.skip(maxLen10-(readData+(lenBuf-posBuf))); posBuf=0; lenBuf=0; } int testPset=1; for(int i=2;i<circles.length;i++){ if(circles[testPset].r<circles[i].r){ testPset=i; } } Pset p0=new Pset(); Pset p1=new Pset(); int gggg=intersection(circles[0],circles[testPset],p0,p1); double delta0=precisionAll(p0,circles); if(gggg==1){ answer.x=p0.x; answer.y=p0.y; return; } double delta1=precisionAll(p1,circles); if(delta0<delta1){ answer.x=p0.x; answer.y=p0.y; }else{ answer.x=p1.x; answer.y=p1.y; } } static double pow2(double x){ return x*x; } static double precisionAll(Pset p0,Circle[] circles){ double delta=0; Pset sum=new Pset(); Pset temp=new Pset(); for(int j=1;j<7;j++){ sum.x=0; sum.y=0; for(int i=0;i<circles.length;i++){ precision(p0,circles[i],temp); sum.x+=temp.x; sum.y+=temp.y; delta=pow2(temp.x-p0.x)+pow2(temp.y-p0.y); } p0.x=sum.x/circles.length; p0.y=sum.y/circles.length; } return delta; } static void precision(Pset pset,Circle circle,Pset returnPset){ double dx=pset.x-circle.x; double dy=pset.y-circle.y; double dz=circle.distanceTo(pset); if(dz<0.0000001){ if(circle.r<0.000001){ returnPset.x=circle.x; returnPset.y=circle.y; return ; } returnPset.x=pset.x+ circle.r; returnPset.y=pset.y+circle.r; return; } returnPset.x=circle.x+dx*circle.r/dz; returnPset.y=circle.y+dy*circle.r/dz; } static int intersection(Circle circle0,Circle circle1,Pset first,Pset second) { double x0,y0; double d; double a; double h; d=circle0.distanceTo(circle1); double deltaX=circle1.x - circle0.x; double deltaY=circle1.y - circle0.y; if(d >= circle0.r+circle1.r) { first.x = circle0.x+deltaX*circle0.r/(circle0.r+circle1.r); first.y = circle0.y+deltaY*circle0.r/(circle0.r+circle1.r); return 1; } if(d <= abs(circle0.r-circle1.r)) { deltaX/=d; deltaY/=d; if(circle1.r<circle0.r){ first.x = (circle0.x+deltaX*circle0.r + circle1.x+deltaX*circle1.r)/2; first.y = (circle0.y+deltaY*circle0.r + circle1.y+deltaY*circle1.r)/2; }else{ first.x = (circle0.x-deltaX*circle0.r + circle1.x-deltaX*circle1.r)/2; first.y = (circle0.y-deltaY*circle0.r + circle1.y-deltaY*circle1.r)/2; } return 1; } a= (pow2(circle0.r) - pow2(circle1.r) + d*d ) / (2*d); h= sqrt( pow2(circle0.r) - pow2(a)); x0 = circle0.x + a*deltaX / d; y0 = circle0.y + a*deltaY / d; first.x= x0 + h*deltaY / d; first.y= y0 - h*deltaX / d; //if(a == circle0.r ) return 1; second.x= x0 - h*deltaY / d; second.y= y0 + h*deltaX / d; return 2; } } class Pset{ double x; double y; Pset(){ } Pset(double xx,double yy){ x=xx; y=yy; } double distanceTo(Pset p){ return sqrt((xp.x)*(xp.x)+(yp.y)*(yp.y)); } void print(){ System.out.println(""+x+" "+y); } void printDlta(Pset answer){ System.out.println(""+(x-answer.x)+" "+(y-answer.y)+" "+Math.sqrt((x-answer.x)*(x-answer.x)+(y-answer.y)*(y-answer.y))); } } class Circle extends Pset{ double r; Circle(double xx,double yy){ super(xx,yy); } Circle(double xx,double yy,double rr){ super(xx,yy); this.r=rr; } } 

A full table of results can be found here . Red highlights the results outside the allowable limits (an error of more than 1000 meters, or a running time of more than 5 seconds.). Download all the solutions, their answers and compilation results - here . There are still read-only users at the top of the table, correcting: ibessonov , where-is-s , Leng , Kofko , shuternay , wSpirit , dimka-74 .

About approaches to solving

Some have guessed about the possibility of using the internal state of MD5 - this made it possible to speed up the calculation of hashes by 3 times due to the fact that the first 128 bytes of the hashed string do not change and we can continue the calculation only from the 3rd 64-byte block. But in practice it was not needed.

Since the length of the transmitted code sequence is 1 million bits, it is obvious that there will be unique sequences no longer than 19–20 bits (2 ^ 20> 1 million). This made it possible to pre-locate and store only these unique markers (+ their shift), and use them to calculate the shift of the code sequence at all without calculating the MD5 during the execution of the program.

If you use several such markers - you can not read all 10 megabytes for each satellite, but cost only a small piece of the code sequence from the input stream and skip the rest for speed. Of course, this would give a greater performance boost if the data were given in a file (where you can make seek), rather than the stream of standard input.

It is extremely important to use the fact that the received sequence comes with greater frequency. This allows you to increase the accuracy of determining the distance to the satellite from 300 to 30 meters. After reading the sequence up to the first unit, we unambiguously determine the remainder of the division by 10 of the shift of the sequence. Next - you can search for markers by a sequence thinned 10 times (for speed).


Now we know the distance to the satellite. If it had not been rounded off to the nearest 100ns interval (1 second / 10 Mbit = 100 ns = 29.9 meters), then the possible locations of the receiver would lie on the circle. With rounding - they lie on a ring 29.9 meters wide. If we approach the problem geometrically, then we need to find the intersection of N such rings and the circumference of the earth. Then find a point in the obtained area of ​​possible receiver positions that provides the minimum expectation of error.

Implementing such an “exact” solution promises to be cumbersome - but it can be simplified: for example, you can roughly find a lot of allowable points on the grid with a fixed step (for example, 0.1 meters) in the approximate optimum area, you can use sequential approximation algorithms, but you need an accurate objective function in order not to lose accuracy when we have a lot of “uncomfortable” satellites hanging on one side of the earth.

I hope the participants will tell us about their other tricks in the decision.

About tests

Tests 1-3 are simple tests with the number of satellites 3-5.
Test 4 - 50 equally spaced satellites.
Test 5 is the maximum test, 255 evenly distributed satellites (2.4GB of data).
Test 6 - 40 first satellites are inconveniently hanging on one side of the earth and do not allow to build exact coordinates, then follow 10 evenly distributed satellites.

You can download tests here (200MB in the archive). If the test time is less than 6 seconds - the test was carried out 3 times, and the execution time was averaged (on average, the participants had a 5% execution time).

About errors noticed

A lot of people suffered from inattention - several solutions output debug information. Several solutions deduced real numbers with a comma, rather than a period as was shown in the example (differences in locale). Several solutions fell with various errors. Where in the results table you see a very large error - most likely in the output file is not a number.

However, some things that were not mentioned in the condition - I corrected. One solution came in cp1251 coding with Russian comments, and javac did not want to pass by Russian comments without additional kicks. The solution was manually converted to utf-8 and the -encoding UTF-8 compilation key was used. Package was specified in several programs - I commented it out, to unify the testing process.

Decisions outside the competition were also tested , but so far they have not been able to influence the results table - so it’s not worth biting your elbows yet. Reasons “out of competition”: Redmoon - design (the user is not formatted ), strelok369 - design (the user is not formatted ), Agath - later on deadline, vadimmm - later on deadline, jwriter - later on deadline, xio4 - later on deadline, VadosM - sent both to the correct and to the wrong email address (as a result I got into both result tables), oleksandr17 is the wrong send address, dimka-74 is the wrong design, m7400 is the wrong design, compilation error.

Download all solutions out of competition, their answers and compilation results - here

Discussion

It will be interesting to hear the additions and tricks used in the solutions. The next 24 hours are for participants to search for my mistakes, I have no doubt that this is possible. If nothing changes the table is found - the results will be finalized and proceed to the presentation of prizes.

Update 05/15/2014 02:06: The results table was updated, the program for checking the results could sometimes count the program that fell with the exception for the correct answer (fscanf kept the old value in the variables, if the number is not in the file). The results of the leaders have not changed.

Update 05/15/2014 09:30: 2 users detected (@Nobodyhave and // @ darkslave), who sent the solution on time, are visible in the web-based mail interface, but did not reach the mail program. Mystic. Check if there are still such mystical letters. The results table and the archive with the decision are updated, there are no changes in the leaders yet.

Update 05/15/2014 10:32: After a careful viewing of mail via the web interface, 2 more solutions were found that meet the requirements: ( habrunit and where-is-s ). habrunit managed to move the top three. 2 more solutions with a design error. The problem with the mail was resolved - it turned out to be grief from the mind (the mail program put some of the letters into a spam folder, which I hid a year ago).

Update 05/15/2014 10:47: Added 2 solutions out of competition - dimka-74 and m7400

Update 05/15/2014 18:44: Updated results table - solutions that pass all tests are clearly separated from solutions that did not pass at least one test.