इसलिए, अब समय आ गया है कि पिछले मई के हब्रसोरवलेनिया को संक्षेप में प्रस्तुत किया जाए । 49 निर्णय भेजे गए जो डिजाइन आवश्यकताओं और प्रतियोगिता से बाहर 8 निर्णय (बाद में समय सीमा, डिजाइन त्रुटियों के साथ, गलत पते पर) से मिले। खैर, आइए देखें कि किसने क्या लिखा।

यद्यपि कार्य के साथ विषय की चर्चा में, लोग चिंतित थे कि सबसे कॉम्पैक्ट और सबसे तेज़ समाधान अलग-अलग चीजें हैं, यह पता चला कि विजेता की डोरी का समाधान भी सभी आवश्यकताओं को पूरा करते हुए सबसे कॉम्पैक्ट है। Frommi का समाधान दो बार कॉम्पैक्ट था, 863 बाइट्स - लेकिन सभी परीक्षण पास नहीं कर सके। इसके बाद 1613 बाइट्स के लिए ibessonov समाधान था - लेकिन यह पहली परीक्षा में अचानक एक बड़ी त्रुटि दिखा।

यदि मेरे पाठकों को कोई त्रुटि नहीं मिलती है, तो तीन विजेता इस तरह दिखाई देंगे:

1. lany एक डबल विजेता, 89.9448 अंक और सबसे कॉम्पैक्ट समाधान है।
   सबसे बड़ा परीक्षण (2.4 जीबी) 0.61 सेकंड में पास हुआ।
   
   स्रोत देखें

   //@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. @ शशता - 86.9558 अंक, सबसे बड़ी परीक्षा में दो बार तेज लान के रूप में, लेकिन सटीकता में थोड़ा खो गई।
   
   स्रोत देखें

    //@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. हब्रुनिट - 83.9379 अंक, सचमुच स्टैकर के हाथों से पुरस्कार प्राप्त करते हैं।
   
   स्रोत देखें

    //@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; } } 0x5fda1a4e, 0x4628d24f, 0x47d17d50,0x53ca2751,0x6738c52,0x2a1c9653,0xcdab0454,0x7429e855,0x91c38556,0xb3c8ab57,0xa98cb258,0 //@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; } } 0x4b561, //@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; } } 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; } } 

परिणामों की एक पूरी तालिका यहां पाई जा सकती है । लाल रंग में हाइलाइट किए गए परिणाम सीमा से बाहर हैं (1000 मीटर से अधिक की त्रुटि, या 5 सेकंड से अधिक का रन समय)। सभी समाधान, उनके उत्तर और संकलन परिणाम डाउनलोड करें - यहां । तालिका के शीर्ष पर अभी भी केवल-पढ़ने वाले उपयोगकर्ता हैं, हम ठीक करते हैं: ibessonov , जहां-एस-एस , लेंग , कोफ्को , शटरन , डब्ल्यूस्पिरिट , डिमका -74 ।

समाधान के तरीकों के बारे में

कुछ लोगों ने एमडी 5 की आंतरिक स्थिति का उपयोग करने की संभावना के बारे में अनुमान लगाया - इससे हमें इस तथ्य के कारण 3 बार हैश की गणना में तेजी लाने की अनुमति मिली कि हैश स्ट्रिंग के पहले 128 बाइट्स में बदलाव नहीं होता है और हम केवल 3 जी 64-बाइट ब्लॉक से गणना करना जारी रख सकते हैं। लेकिन व्यवहार में इसकी जरूरत नहीं थी।

चूंकि प्रेषित कोड अनुक्रम की लंबाई 1 मिलियन बिट्स है, इसलिए यह स्पष्ट है कि अब 19-20 बिट्स (2 ^ 20> 1 मिलियन) की तुलना में अद्वितीय अनुक्रम होंगे। इससे केवल इन अद्वितीय मार्करों (उनकी शिफ्ट) को पूर्व-पता लगाना और संग्रहीत करना संभव हो गया, और प्रोग्राम के निष्पादन के दौरान एमडी 5 की गणना किए बिना कोड अनुक्रम की शिफ्ट की गणना करने के लिए उनका उपयोग करना।

यदि आप इन मार्करों में से कई का उपयोग करते हैं, तो आप प्रत्येक उपग्रह के लिए सभी 10 मेगाबाइट नहीं पढ़ सकते हैं, लेकिन इनपुट स्ट्रीम से कोड अनुक्रम का केवल एक छोटा टुकड़ा खर्च करें और बाकी को गति के लिए छोड़ दें। बेशक, यह एक बड़ा प्रदर्शन को बढ़ावा देगा अगर डेटा एक फ़ाइल में दिया गया था (जहां आप एक खोज कर सकते हैं), बजाय एक मानक इनपुट स्ट्रीम के।

इस तथ्य का उपयोग करना बेहद महत्वपूर्ण है कि प्राप्त अनुक्रम अधिक आवृत्ति के साथ आता है। यह आपको उपग्रह की दूरी को 300 से 30 मीटर तक निर्धारित करने की सटीकता को बढ़ाने की अनुमति देता है। पहली इकाई को अनुक्रम पढ़ने के बाद, हम विशिष्ट रूप से अनुक्रम की शिफ्ट से 10 तक विभाजन के शेष भाग को निर्धारित करते हैं। अगला - आप 10 गुना (गति के लिए) पहले से ही अनुक्रम द्वारा मार्करों की खोज कर सकते हैं।


अब हम उपग्रह की दूरी जानते हैं। यदि इसे निकटतम 100ns अंतराल (1 सेकंड / 10MBit = 100ns = 29.9 मीटर) पर गोल नहीं किया गया था, तो रिसीवर के संभावित स्थान बिंदु एक सर्कल पर झूठ होंगे। गोलाई के साथ - वे 29.9 मीटर चौड़ी एक अंगूठी पर झूठ बोलते हैं। यदि आप ज्यामितीय रूप से समस्या से संपर्क करते हैं - तो हमें एन के ऐसे चौराहे और पृथ्वी की परिधि को खोजने की आवश्यकता है। फिर संभावित रिसीवर पदों के परिणामी क्षेत्र में एक बिंदु ढूंढें जो त्रुटि की न्यूनतम गणितीय अपेक्षा प्रदान करता है।

इस तरह के "सटीक" समाधान का कार्यान्वयन बोझिल होने का वादा करता है - लेकिन इसे सरल बनाया जा सकता है: उदाहरण के लिए, आप लगभग ग्रिड पर व्यवहार्य बिंदुओं के सेट को एक निश्चित कदम (उदाहरण के लिए 0.1 मीटर) के साथ अनुमानित इष्टतम के क्षेत्र में पा सकते हैं, आप अनुक्रमिक सन्निकटन एल्गोरिदम का उपयोग कर सकते हैं, लेकिन यहां आपको एक स्पष्ट उद्देश्य फ़ंक्शन की आवश्यकता है इसलिए जब हम पृथ्वी के एक तरफ बहुत सारे "असुविधाजनक" उपग्रह लटकाते हैं, तो सटीकता खोना नहीं है।

मुझे उम्मीद है कि प्रतिभागी हमें समाधान में उनकी अन्य चाल के बारे में बताएंगे।

परीक्षणों के बारे में

टेस्ट 1-3 - 3-5 उपग्रहों के साथ सरल परीक्षण।
टेस्ट 4 - 50 समान रूप से वितरित उपग्रह।
परीक्षण 5 - अधिकतम परीक्षण, 255 समान रूप से वितरित उपग्रह (2.4GB डेटा)।
परीक्षण 6 - पहले 40 उपग्रह पृथ्वी के एक तरफ असहज रूप से लटकते हैं और सटीक निर्देशांक बनाने की अनुमति नहीं देते हैं, फिर 10 समान रूप से वितरित उपग्रह जाते हैं।

आप यहां परीक्षण (संग्रह में 200 एमबी) डाउनलोड कर सकते हैं । यदि परीक्षण रन समय 6 सेकंड से कम है, तो परीक्षण 3 बार किया गया था, और रन समय औसत था (औसतन, प्रतिभागियों के लिए रन समय 5% था)।

बग के बारे में

बहुत से लोग लापरवाही से पीड़ित थे - कई समाधान डिबगिंग जानकारी प्रदर्शित करते थे। कई समाधान एक अर्धविराम के साथ वास्तविक संख्या प्रदर्शित करते हैं, एक अवधि नहीं, जैसा कि उदाहरण में दिखाया गया था (स्थानीय में अंतर)। विभिन्न त्रुटियों के साथ कई समाधान गिर गए। जहां परिणाम तालिका में आप एक बहुत बड़ी गलती देखते हैं - सबसे अधिक संभावना है कि आउटपुट फ़ाइल में कोई संख्या नहीं है।

हालाँकि, कुछ चीजें जिनका उल्लेख नहीं किया गया था - मैंने तय किया। एक समाधान रूसी टिप्पणियों के साथ cp1251 एन्कोडिंग में आया, और जेवैक अतिरिक्त किक के बिना रूसी टिप्पणियों को पारित नहीं करना चाहता था। समाधान को हाथ से utf-8 में बदल दिया गया और -encoding UTF-8 संकलन कुंजी का उपयोग किया गया। पैकेज कई कार्यक्रमों में निर्दिष्ट किया गया था - मैंने इसे परीक्षण प्रक्रिया को एकीकृत करने के लिए टिप्पणी की।

आउट-ऑफ-प्रतियोगिता समाधानों का भी परीक्षण किया गया है , लेकिन अभी तक वे परिणाम तालिका को प्रभावित नहीं कर पाए हैं - इसलिए अब तक अपनी कोहनी काट लें। कारण "प्रतियोगिता से बाहर": Redmoon - डिज़ाइन (उपयोगकर्ता प्रारूप में निर्दिष्ट नहीं है), strelok369 - डिज़ाइन ( उपयोगकर्ता प्रारूप में निर्दिष्ट नहीं है), Agath - समय सीमा से बाद में, vadimmm - बाद में समय सीमा से, jwriter - बाद में समय सीमा से, xio4 - समय सीमा से बाद में, VadosM - से मैंने इसे सही और गलत मेल पते पर भेज दिया (मैंने दोनों परिणाम तालिका में समाप्त कर दिया), oleksandr17 - गलत भेजने का पता, डिमका -74 - गलत डिज़ाइन, m7400 - गलत डिज़ाइन, संकलन त्रुटि।

प्रतियोगिता के सभी समाधान, उनके उत्तर और संकलन परिणाम डाउनलोड करें - यहाँ

चर्चा

समाधान में उपयोग किए जाने वाले ऐड-ऑन और ट्रिक्स को सुनना दिलचस्प होगा। अगले 24 घंटे - प्रतिभागियों को मेरी गलतियों की खोज करने के लिए, मुझे इसमें कोई संदेह नहीं है कि यह संभव है। यदि तालिका को संशोधित करने के लिए कुछ भी नहीं मिला है, तो परिणामों को अंतिम रूप दिया जाएगा और पुरस्कारों की प्रस्तुति के साथ आगे बढ़ेंगे।

अद्यतन 05/15/2014 02:06: परिणाम तालिका को अद्यतन किया गया था, परिणामों की जाँच करने के लिए कार्यक्रम कभी-कभी उस प्रोग्राम को गिन सकता है जो अपवाद के साथ गिर गया था क्योंकि सही उत्तर (फ़ाइल में संख्या नहीं होने पर fscanf ने चर में पुराने मान को बचाया)। नेताओं के नतीजे नहीं बदले हैं।

अपडेट 05/15/2014 09:30: 2 उपयोगकर्ता (@Nobodyhave और // @ darkslave) पाए गए जिन्होंने समय पर समाधान भेजा, मेल वेब इंटरफ़ेस में दिखाई देते हैं, लेकिन मेल प्रोग्राम तक नहीं पहुंचे। रहस्यवाद। अगर अभी भी इस तरह के रहस्यमय पत्र हैं तो मैं जाँच कर रहा हूँ। समाधान के साथ परिणाम तालिका और संग्रह को अपडेट किया गया है, अभी तक नेताओं में कोई बदलाव नहीं हुआ है।

अद्यतन 05/15/2014 10:32: वेब-इंटरफ़ेस के माध्यम से मेल को सावधानीपूर्वक देखने के बाद, 2 और समाधान पाए गए जो आवश्यकताओं को पूरा करते हैं: ( हैब्रूनिट और जहां-एस-एस )। habrunit शीर्ष तीन को स्थानांतरित करने में कामयाब रहा। एक डिजाइन त्रुटि के साथ 2 और समाधान। हम मेल के साथ समस्या को हल करने में कामयाब रहे - यह दिमाग से दुःख निकला (मेल प्रोग्राम ने कुछ अक्षरों को एक स्पैम फ़ोल्डर में डाल दिया जिसे मैंने एक साल पहले छिपाया था)।

अद्यतन 05/15/2014 10:47: प्रतियोगिता से 2 समाधान जोड़े गए - डिमका -74 और m7400

अद्यतन 05/15/2014 18:44: परिणामों की तालिका को अद्यतन किया गया है - समाधान जो सभी परीक्षणों को उन समाधानों से पारित करते हैं जो कम से कम एक परीक्षण पास नहीं करते थे, स्पष्ट रूप से अलग हो जाते हैं।