src
stringlengths
95
64.6k
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stringclasses
7 values
problem
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import java.util.InputMismatchException; import java.io.*; import java.util.Vector; import java.util.Collections; import java.util.Arrays; /** * Generated by Contest helper plug-in * Actual solution is at the bottom */ public class Main { public static void main(String[] args) { InputReader in = new StreamInputReader(System.in); PrintWriter out = new PrintWriter(System.out); run(in, out); } public static void run(InputReader in, PrintWriter out) { Solver solver = new Sellerman(); solver.solve(1, in, out); Exit.exit(in, out); } } class StreamInputReader extends InputReader { private InputStream stream; private byte[] buf = new byte[1024]; private int curChar, numChars; public StreamInputReader(InputStream stream) { this.stream = stream; } public int read() { if (numChars == -1) throw new InputMismatchException(); if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) return -1; } return buf[curChar++]; } @Override public void close() { try { stream.close(); } catch (IOException ignored) { } } } abstract class InputReader { private boolean finished = false; public abstract int read(); public int nextInt() { return Integer.parseInt(nextToken()); } public String nextToken() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuffer res = new StringBuffer(); do { res.appendCodePoint(c); c = read(); } while (!isSpaceChar(c)); return res.toString(); } private boolean isSpaceChar(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } public void setFinished(boolean finished) { this.finished = finished; } public abstract void close(); } interface Solver { public void solve(int testNumber, InputReader in, PrintWriter out); } class Exit { private Exit() { } public static void exit(InputReader in, PrintWriter out) { in.setFinished(true); in.close(); out.close(); } } class Sellerman implements Solver { public void solve(int testNumber, InputReader in, PrintWriter out) { int x0 = in.nextInt(); int y0 = in.nextInt(); int n = in.nextInt() + 1; int[] x = new int[n]; int[] y = new int[n]; x[n - 1] = x0; y[n - 1] = y0; for (int i = 0; i < n - 1; ++i) { x[i] = in.nextInt(); y[i] = in.nextInt(); } int [][] g = new int[n][n]; for(int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { g[i][j] = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); } -- n; int[] dm = new int[1 << n]; int[] prev = new int[1 << n]; byte [] bit = new byte[1 << n]; byte [] item0 = new byte[1 << n]; byte [] item1 = new byte[1 << n]; for (int i = 0; i < n; ++i) { bit[1 << i] = (byte) i; } Arrays.fill(dm, -1); dm[0] = 0; int tt[][] = new int[n][n]; for (int i = 0; i < n; ++i) for (int j =0 ; j < n; ++j) { tt[i][j] = Math.min(g[n][i] + g[i][j] + g[j][n], g[n][j] + g[i][j] + g[i][n]); } for (int i = 0; i < (1 << n); ++i) { if (dm[i] == -1)continue; int t = (i ^ ((1 << n) - 1)); int left = bit[t - (t & (t - 1))]; for (int j = left; j < n; ++j) { if ((i & (1 << j)) > 0) continue; int nm = i | (1 << left) | (1 << j); if (dm[nm] == -1 || dm[nm] > dm[i] + tt[left][j]) { dm[nm] = dm[i] + tt[left][j]; prev[nm] = i; item0[nm] = (byte)left; item1[nm] = (byte)j; } } } out.println(dm[(1 << n) - 1]); Vector<Vector<Integer>> path = new Vector<Vector<Integer>> () ; int cmask = (1 << n) - 1; while (cmask > 0) { int p = prev[cmask]; Vector<Integer> tmp = new Vector<Integer> () ; tmp.add(0); tmp.add(item0[cmask] + 1); tmp.add(item1[cmask] + 1); cmask = prev[cmask]; path.add(tmp); } Collections.reverse(path); int len = 0; for (Vector<Integer> vec : path) len += vec.size(); int ans[] = new int[len]; boolean[] valid = new boolean[len]; Arrays.fill(valid, true); len = 0; for (Vector<Integer> vec : path) { for (int ttt : vec) { ans[len ++] = ttt; } } for (int i = 0; i < len - 1; ++i) { if (ans[i] == ans[i + 1]) valid[i] = false; } for (int i = 0; i < len; ++i) { if (valid[i]) { out.print(ans[i] + " "); } } out.print("0"); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import java.io.*; import java.awt.Point; import java.math.BigInteger; import static java.lang.Math.*; // Solution is at the bottom of code public class ProblemC_008 implements Runnable{ final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null; BufferedReader in; OutputWriter out; StringTokenizer tok = new StringTokenizer(""); public static void main(String[] args){ new Thread(null, new ProblemC_008(), "", 128 * (1L << 20)).start(); } ///////////////////////////////////////////////////////////////////// void init() throws FileNotFoundException{ Locale.setDefault(Locale.US); if (ONLINE_JUDGE){ in = new BufferedReader(new InputStreamReader(System.in)); out = new OutputWriter(System.out); }else{ in = new BufferedReader(new FileReader("input.txt")); out = new OutputWriter("output.txt"); } } //////////////////////////////////////////////////////////////// long timeBegin, timeEnd; void time(){ timeEnd = System.currentTimeMillis(); System.err.println("Time = " + (timeEnd - timeBegin)); } void debug(Object... objects){ if (ONLINE_JUDGE){ for (Object o: objects){ System.err.println(o.toString()); } } } ///////////////////////////////////////////////////////////////////// public void run(){ try{ timeBegin = System.currentTimeMillis(); Locale.setDefault(Locale.US); init(); solve(); out.close(); time(); }catch (Exception e){ e.printStackTrace(System.err); System.exit(-1); } } ///////////////////////////////////////////////////////////////////// String delim = " "; String readString() throws IOException{ while(!tok.hasMoreTokens()){ try{ tok = new StringTokenizer(in.readLine()); }catch (Exception e){ return null; } } return tok.nextToken(delim); } String readLine() throws IOException{ return in.readLine(); } ///////////////////////////////////////////////////////////////// final char NOT_A_SYMBOL = '\0'; char readChar() throws IOException{ int intValue = in.read(); if (intValue == -1){ return NOT_A_SYMBOL; } return (char) intValue; } char[] readCharArray() throws IOException{ return readLine().toCharArray(); } ///////////////////////////////////////////////////////////////// int readInt() throws IOException{ return Integer.parseInt(readString()); } int[] readIntArray(int size) throws IOException{ int[] array = new int[size]; for (int index = 0; index < size; ++index){ array[index] = readInt(); } return array; } /////////////////////////////////////////////////////////////////// long readLong() throws IOException{ return Long.parseLong(readString()); } long[] readLongArray(int size) throws IOException{ long[] array = new long[size]; for (int index = 0; index < size; ++index){ array[index] = readLong(); } return array; } //////////////////////////////////////////////////////////////////// double readDouble() throws IOException{ return Double.parseDouble(readString()); } double[] readDoubleArray(int size) throws IOException{ double[] array = new double[size]; for (int index = 0; index < size; ++index){ array[index] = readDouble(); } return array; } ///////////////////////////////////////////////////////////////////// Point readPoint() throws IOException{ return new Point(readInt(), readInt()); } Point[] readPointArray(int size) throws IOException{ Point[] array = new Point[size]; for (int index = 0; index < size; ++index){ array[index] = readPoint(); } return array; } ///////////////////////////////////////////////////////////////////// class OutputWriter extends PrintWriter{ final int DEFAULT_PRECISION = 12; int precision; String format, formatWithSpace; { precision = DEFAULT_PRECISION; format = createFormat(precision); formatWithSpace = format + " "; } public OutputWriter(OutputStream out) { super(out); } public OutputWriter(String fileName) throws FileNotFoundException { super(fileName); } public int getPrecision() { return precision; } public void setPrecision(int precision) { this.precision = precision; format = createFormat(precision); formatWithSpace = format + " "; } private String createFormat(int precision){ return "%." + precision + "f"; } @Override public void print(double d){ printf(format, d); } public void printWithSpace(double d){ printf(formatWithSpace, d); } public void printAll(double...d){ for (int i = 0; i < d.length - 1; ++i){ printWithSpace(d[i]); } print(d[d.length - 1]); } @Override public void println(double d){ printlnAll(d); } public void printlnAll(double... d){ printAll(d); println(); } } ///////////////////////////////////////////////////////////////////// int[][] steps = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}}; boolean check(int index, int lim){ return (0 <= index && index < lim); } ///////////////////////////////////////////////////////////////////// void solve() throws IOException{ Point bag = readPoint(); int n = readInt(); Point[] points = new Point[n]; for (int i = 0; i < n; ++i){ points[i] = readPoint(); } int[] dist = new int[n]; for (int i = 0; i < n; ++i){ int dx = points[i].x - bag.x; int dy = points[i].y - bag.y; dist[i] = dx * dx + dy * dy; } int[][] d = new int[n][n]; for (int i = 0; i < n; ++i){ for (int j = 0; j < n; ++j){ int dx = points[i].x - points[j].x; int dy = points[i].y - points[j].y; d[i][j] = dx * dx + dy * dy; d[i][j] += dist[i] + dist[j]; } } int[] singleMasks = new int[n]; for (int i = 0; i < n; ++i){ singleMasks[i] = (1 << i); } int[][] doubleMasks = new int[n][n]; for (int i = 0; i < n; ++i){ for (int j = 0; j < n; ++j){ doubleMasks[i][j] = (singleMasks[i] | singleMasks[j]); } } int lim = (1 << n); int[] dp = new int[lim]; Arrays.fill(dp, Integer.MAX_VALUE); dp[0] = 0; int[] p = new int[lim]; Arrays.fill(p, -1); for (int mask = 0; mask < lim; ++mask){ if (dp[mask] == Integer.MAX_VALUE){ continue; } int minBit = -1; for (int bit = 0; bit < n; ++bit){ if (checkBit(mask, bit)) continue; if (minBit == -1 || (dist[minBit] > dist[bit])){ minBit = bit; } } if (minBit == -1){ continue; } for (int bit = 0; bit < n; ++bit){ if (checkBit(mask, bit)) continue; int newMask = (mask | (1 << minBit) | (1 << bit)); if (dp[newMask] > dp[mask] + d[minBit][bit]){ dp[newMask] = dp[mask] + d[minBit][bit]; p[newMask] = minBit * n + bit; } } } out.println(dp[lim-1]); int curMask = lim - 1; while (p[curMask] != -1){ out.print("0 "); int first = p[curMask] / n; int second = p[curMask] % n; out.print((first + 1) + " "); curMask ^= (1 << first); if (first != second){ out.print((second + 1) + " "); curMask ^= (1 << second); } } out.println("0"); } private boolean checkBit(int mask, int bitNumber) { return (mask & (1 << bitNumber)) != 0; } boolean checkMask(int mask, int innerMask){ return (mask & innerMask) == innerMask; } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.math.BigDecimal; import java.math.BigInteger; import java.util.*; public class Task2 { public static void main(String[] args) throws IOException { new Task2().solve(); } //ArrayList<Integer>[] g; int mod = 1000000007; PrintWriter out; int n; int m; //int[][] a = new int[1000][1000]; //int cnt = 0; long base = (1L << 63); long P = 31; int[][] a; void solve() throws IOException { //Reader in = new Reader("in.txt"); //out = new PrintWriter( new BufferedWriter(new FileWriter("output.txt")) ); Reader in = new Reader(); PrintWriter out = new PrintWriter( new BufferedWriter(new OutputStreamWriter(System.out)) ); //BufferedReader br = new BufferedReader( new FileReader("in.txt") ); //BufferedReader br = new BufferedReader( new InputStreamReader( System.in ) ); int sx = in.nextInt(); int sy = in.nextInt(); int n = in.nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; i++) { x[i] = in.nextInt(); y[i] = in.nextInt(); } int[] dp = new int[1 << n]; int[] p = new int[1 << n]; int inf = 1000000000; Arrays.fill(dp, inf); dp[0] = 0; for (int mask = 0; mask < (1 << n) - 1; mask ++) { int k = -1; if (dp[mask] == inf) continue; for (int i = 0; i < n; i++) { if ((mask & (1 << i)) == 0) { k = i; break; } } for (int i = k; i < n; i++) { if ((mask & (1 << i)) == 0) { int val = dp[mask] + dist(sx, sy, x[i], y[i]) + dist(sx, sy, x[k], y[k]) + dist(x[i], y[i], x[k], y[k]); if (val < dp[mask | (1 << i) | (1 << k)]) { dp[mask | (1 << i) | (1 << k)] = val; p[mask | (1 << i) | (1 << k)] = mask; } } } } out.println(dp[(1 << n) - 1]); int cur = (1 << n) - 1; out.print(0+" "); while (cur != 0) { int prev = p[cur]; for (int i = 0; i < n; i++) { if (((cur & (1 << i)) ^ (prev & (1 << i))) != 0) out.print(i+1+" "); } out.print(0+" "); cur = prev; } out.flush(); out.close(); } int dist(int x1, int y1, int x2, int y2) { return (x1-x2)*(x1-x2) + (y1-y2)*(y1-y2); } long gcd(long a, long b) { if (b == 0) return a; return gcd(b, a%b); } class Item { int a; int b; int c; Item(int a, int b, int c) { this.a = a; this.b = b; this.c = c; } } class Pair implements Comparable<Pair>{ int a; int b; Pair(int a, int b) { this.a = a; this.b = b; } public int compareTo(Pair p) { if (b < p.b) return 1; if (b > p.b) return -1; return 0; } // @Override // public boolean equals(Object o) { // Pair p = (Pair) o; // return a == p.a && b == p.b; // } // // @Override // public int hashCode() { // return Integer.valueOf(a).hashCode() + Integer.valueOf(b).hashCode(); // } } class Reader { BufferedReader br; StringTokenizer tok; Reader(String file) throws IOException { br = new BufferedReader( new FileReader(file) ); } Reader() throws IOException { br = new BufferedReader( new InputStreamReader(System.in) ); } String next() throws IOException { while (tok == null || !tok.hasMoreElements()) tok = new StringTokenizer(br.readLine()); return tok.nextToken(); } int nextInt() throws NumberFormatException, IOException { return Integer.valueOf(next()); } long nextLong() throws NumberFormatException, IOException { return Long.valueOf(next()); } double nextDouble() throws NumberFormatException, IOException { return Double.valueOf(next()); } String nextLine() throws IOException { return br.readLine(); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.IOException; import java.io.InputStreamReader; import java.io.OutputStreamWriter; public class LookingOrder { public static void main(String[] args) throws IOException{ BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out)); String[] line=in.readLine().split("\\s+"); int xs= Integer.parseInt(line[0]); int ys= Integer.parseInt(line[1]); int n=Integer.parseInt(in.readLine()); int []x=new int[n]; int []y=new int[n]; for(int i=0;i<n;++i){ line=in.readLine().split("\\s+"); x[i]= Integer.parseInt(line[0]); y[i]= Integer.parseInt(line[1]); } int maxBitmap=1<<n; long[] dis=new long[maxBitmap]; int[] last=new int[maxBitmap]; dis[0]=0; int ci=0; int[][] dismap=new int[n][n]; for(int i=0;i<n;++i){ for(int j=0;j<=i;++j){ int delx,dely; if(i==j){ delx=x[i]-xs; dely=y[i]-ys; }else{ delx=x[i]-x[j]; dely=y[i]-y[j]; } dismap[i][j]=delx*delx+dely*dely; } } for(int i=1;i<maxBitmap;++i){ if((i&(1<<ci))==0) ++ci; int i2=i-(1<<ci); long min=dis[i2]+2*dismap[ci][ci]; last[i]=ci; for(int j=0;j<ci;++j){ if((i&(1<<j))!=0){ long m=dis[i2-(1<<j)]+dismap[ci][ci]+dismap[j][j]+dismap[ci][j]; if(m<min){ min=m; last[i]=j; } } } dis[i]=min; } out.write(""+dis[maxBitmap-1]); out.newLine(); out.write("0"); int bmap=maxBitmap-1; ci=n-1; while(bmap!=0){ while((bmap&(1<<ci))==0&&ci>=0)--ci; int ci2=last[bmap]; if(ci2!=ci){ out.write(" "+(ci+1)+" "+(ci2+1)+ " 0"); bmap-=(1<<ci)+(1<<ci2); }else{ out.write(" "+(ci+1)+" 0"); bmap-=1<<ci; } } out.close(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.Scanner; public class Round8_C { /** * @param args */ int n ; int[] X, Y ; public Round8_C() { info_in() ; process() ; } void info_in() { Scanner input = new Scanner(System.in) ; int dx = input.nextInt() ; int dy = input.nextInt() ; n = input.nextInt() ; X = new int[n] ; Y = new int[n] ; for( int i=0;i<n;i++) { X[i] = input.nextInt() - dx ; Y[i] = input.nextInt() - dy ; } } int[] d ; int[] trace ; public static int distance( int x1, int y1, int x2, int y2 ) { return (x1-x2)*(x1-x2) + (y1-y2)*(y1-y2) ; } void process() { int gh = 1<<n ; d = new int[gh] ; trace = new int[gh] ; d[0] = 0 ; for( int i=1;i<gh;i++) { d[i] = Integer.MAX_VALUE ; for( int j=0;j<n;j++) if ( (i & (1<<j)) > 0 ) { int val = d[i^(1<<j)] + ( distance( X[j], Y[j], 0, 0 ) << 1 ) ; if ( val < d[i] ) { d[i] = val ; trace[i] = j+1 ; } int state = i ^ (1<<j) ; for( int p=j+1;p<n;p++) if ( (i & (1<<p)) > 0) { val = d[state^(1<<p)] + distance( X[j], Y[j], 0, 0 ) + distance( X[j], Y[j], X[p], Y[p] ) + distance( X[p], Y[p], 0, 0 ) ; if ( val < d[i] ) { d[i] = val ; trace[i] = (j+1) * 100 + (p+1) ; } } break ; } } System.out.println( d[gh-1] ) ; gh-- ; while ( gh > 0 ) { int v1 = trace[gh] / 100 - 1 ; int v2 = trace[gh] % 100 - 1 ; System.out.print(0 + " ") ; if ( v1 != -1 ) { System.out.print((v1+1) + " " ) ; gh -= 1 << v1 ; } System.out.print( (v2+1) + " " ) ; gh -= 1 << v2 ; } System.out.println(0) ; } public static void main(String[] args) { // TODO Auto-generated method stub new Round8_C() ; } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.IOException; import java.io.InputStreamReader; import java.io.OutputStreamWriter; import java.io.PrintWriter; import java.util.StringTokenizer; public class B { final BufferedReader reader = new BufferedReader(new InputStreamReader(System.in)); final PrintWriter printer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out))); StringTokenizer tokenizer; final int[][] d; final int n; final int[] time; final Action[] actions; private static final class Action { int a; int b; public Action(int a) { this.a = this.b = a; } public Action(int a, int b) { this.a = a; this.b = b; } @Override public String toString() { if (a == b) return " " + (a+1); return " " + (a+1) + " " + (b+1); } } private static final int dist(int x1, int y1, int x2, int y2) { return (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2); } private final boolean in(int x, int set) { return ((1 << x) & set) != 0; } private final int off(int x, int set) { return (set ^ (set & (1 << x))); } private final int solve(int set) { if (time[set] > 0) return time[set]; int min = Integer.MAX_VALUE; if (set == 0) min = 0; else { int a; for (a = 0; a < n; a++) if (in(a, set)) break; int subset = off(a, set); int aux = 2 * d[a][a] + solve(subset); if (aux < min) { min = aux; actions[set] = new Action(a); } for (int b = a + 1; b < n; b++) if (in(b, subset)) { aux = d[a][a] + d[b][b] + d[a][b] + solve(off(b, subset)); if (aux < min) { min = aux; actions[set] = new Action(a, b); } } } time[set] = min; return min; } private B() throws IOException { int bx = nextInt(); int by = nextInt(); n = nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; i++) { x[i] = nextInt(); y[i] = nextInt(); } reader.close(); d = new int[n][n]; for (int i = 0; i < n; i++) { d[i][i] = dist(bx, by, x[i], y[i]);// |A| for (int j = i + 1; j < n; j++) d[i][j] = dist(x[i], y[i], x[j], y[j]);// |AB| } int set = 1 << n; time = new int[set]; actions = new Action[set]; set--; printer.println(solve(set)); printer.print("0"); while (set != 0) { solve(set); Action action = actions[set]; printer.print(action); printer.print(" 0"); set = off(action.a, set); set = off(action.b, set); } printer.println(); printer.close(); } private final int nextInt() throws IOException { return Integer.parseInt(nextToken()); } private final String nextToken() throws IOException { while (tokenizer == null || !tokenizer.hasMoreTokens()) { tokenizer = new StringTokenizer(reader.readLine()); } return tokenizer.nextToken(); } public static void main(String[] args) throws IOException { new B(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; public class c8 { static int n; static int[] ds; static int[][] g; public static void main(String[] args) { Scanner input = new Scanner(System.in); int x = input.nextInt(), y = input.nextInt(); int n = input.nextInt(); int[] xs = new int[n], ys = new int[n]; for(int i = 0; i<n; i++) { xs[i] = input.nextInt(); ys[i] = input.nextInt(); } ds = new int[n]; g = new int[n][n]; for(int i = 0; i<n; i++) { ds[i] = (x - xs[i]) * (x - xs[i]) + (y - ys[i]) * (y - ys[i]); for(int j = 0; j<n; j++) { g[i][j] = (xs[i] - xs[j]) * (xs[i] - xs[j]) + (ys[i] - ys[j]) * (ys[i] - ys[j]); } } int[] dp = new int[1<<n]; Arrays.fill(dp, 987654321); dp[0] = 0; for(int i = 0; i<(1<<n); i++) { if(dp[i] == 987654321) continue; for(int a = 0; a<n; a++) { if((i & (1<<a)) > 0) continue; dp[i | (1<<a)] = Math.min(dp[i | (1<<a)], dp[i] + 2*ds[a]); for(int b = a+1; b<n; b++) { if((i & (1<<b)) > 0) continue; dp[i | (1<<a) | (1<<b)] = Math.min(dp[i | (1<<a) | (1<<b)], dp[i] + ds[a] + ds[b] + g[a][b]); } break; } } Stack<Integer> stk = new Stack<Integer>(); stk.add(0); int i = (1<<n) - 1; //System.out.println(Arrays.toString(dp)); trace: while(i > 0) { //System.out.println(i); for(int a = 0; a<n; a++) { if((i & (1<<a)) == 0) continue; if( dp[i] == dp[i - (1<<a)] + 2*ds[a]) { stk.add(a+1); stk.add(0); i -= (1<<a); continue trace; } for(int b = a+1; b<n; b++) { if((i & (1<<b)) == 0) continue; if(dp[i] == dp[i - (1<<a) - (1<<b)] + ds[a] + ds[b] + g[a][b]) { stk.add(a+1); stk.add(b+1); stk.add(0); i -= (1<<a) + (1<<b); continue trace; } } //break; } } System.out.println(dp[(1<<n) - 1]); while(!stk.isEmpty()) System.out.print(stk.pop()+" "); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.util.Arrays; import java.util.StringTokenizer; public class LookingForOrder { static int n; static int []x,y,memo; static StringBuilder sb; static int distance(int i,int j) { int dx=x[i]-x[j]; int dy=y[i]-y[j]; return dx*dx+dy*dy; } public static int dp(int msk) { if(msk==(1<<(n+1))-2) return 0; if(memo[msk]!=-1) return memo[msk]; int ans=10000000; boolean found=false; for(int i=1;i<=n && !found;i++) for(int j=i;j<=n && (msk&1<<i)==0;j++) if((msk&1<<j)==0) { found=true; int newM=msk|1<<i; newM|=1<<j; ans=Math.min(ans, dp(newM)+Math.min(distance(0,i)+distance(i,j)+distance(j,0), distance(0,j)+distance(j,i)+distance(i,0))); } return memo[msk]=ans; } public static void print(int msk) { if(msk==(1<<(n+1))-2) return ; for(int i=1;i<=n;i++) for(int j=i;j<=n && (msk&1<<i)==0;j++) if((msk&1<<j)==0) { int newM=msk|1<<i; newM|=1<<j; int d1=distance(0,i)+distance(i,j)+distance(j,0); int d2=distance(0,j)+distance(j,i)+distance(i,0); if(dp(msk)== dp(newM)+Math.min(d1,d2)) { if(i==j) sb.append("0 "+i+" "); else if(d1<d2) sb.append("0 "+i+" "+j+" "); else sb.append("0 "+j+" "+i+" "); print(newM); return ; } } } public static void main(String[] args) throws IOException { Scanner sc=new Scanner(System.in); int xS=sc.nextInt(),yS=sc.nextInt(); n=sc.nextInt(); x=new int [n+1]; y=new int [n+1]; x[0]=xS;y[0]=yS; for(int i=1;i<=n;i++) { x[i]=sc.nextInt(); y[i]=sc.nextInt(); } memo=new int [1<<(n+1)]; Arrays.fill(memo,-1); sb=new StringBuilder(); sb.append(dp(0)+"\n"); print(0); sb.append("0"); System.out.println(sb); } static class Scanner { BufferedReader br; StringTokenizer st; public Scanner(InputStream s) { br=new BufferedReader(new InputStreamReader(s)); } public String nextLine() throws IOException { return br.readLine(); } public String next() throws IOException { while(st==null || !st.hasMoreTokens()) st=new StringTokenizer(br.readLine()); return st.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } public double nextDouble() throws IOException { return Double.parseDouble(next()); } public boolean ready() throws IOException { return br.ready(); } public long nextLong() throws IOException { return Long.parseLong(next()); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Bag implements Runnable { private void solve() throws IOException { int xs = nextInt(); int ys = nextInt(); int n = nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; ++i) { x[i] = nextInt(); y[i] = nextInt(); } final int[][] pair = new int[n][n]; for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) pair[i][j] = (x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys) + (x[j] - xs) * (x[j] - xs) + (y[j] - ys) * (y[j] - ys) + (x[j] - x[i]) * (x[j] - x[i]) + (y[j] - y[i]) * (y[j] - y[i]); final int[] single = new int[n]; for (int i = 0; i < n; ++i) { single[i] = 2 * ((x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys)); } final int[] best = new int[1 << n]; final int[] prev = new int[1 << n]; for (int set = 1; set < (1 << n); ++set) { int i; for (i = 0; i < n; ++i) if ((set & (1 << i)) != 0) break; best[set] = best[set ^ (1 << i)] + single[i]; prev[set] = 1 << i; int nextSet = set ^ (1 << i); int unoI = 1 << i; for (int j = i + 1, unoJ = 1 << (i + 1); j < n; ++j, unoJ <<= 1) if ((set & unoJ) != 0) { int cur = best[nextSet ^ unoJ] + pair[i][j]; if (cur < best[set]) { best[set] = cur; prev[set] = unoI | unoJ; } } } writer.println(best[(1 << n) - 1]); int now = (1 << n) - 1; writer.print("0"); while (now > 0) { int differents = prev[now]; for(int i = 0; i < n; i++) if((differents & (1 << i)) != 0) { writer.print(" "); writer.print(i + 1); now ^= 1 << i; } writer.print(" "); writer.print("0"); } writer.println(); } public static void main(String[] args) { new Bag().run(); } BufferedReader reader; StringTokenizer tokenizer; PrintWriter writer; public void run() { try { reader = new BufferedReader(new InputStreamReader(System.in)); tokenizer = null; writer = new PrintWriter(System.out); solve(); reader.close(); writer.close(); } catch (Exception e) { e.printStackTrace(); System.exit(1); } } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } String nextToken() throws IOException { while (tokenizer == null || !tokenizer.hasMoreTokens()) { tokenizer = new StringTokenizer(reader.readLine()); } return tokenizer.nextToken(); } }
np
8_C. Looking for Order
CODEFORCES
import java.awt.Point; import java.util.Arrays; import java.util.Scanner; public class B { static int[][] dist; static int[] dist1; static int [] dp; static int [] path; static int end,x,y; static Point[] a; public static int doit(int mask) { if(mask==end) return 0; if(dp[mask]!=-1) return dp[mask]; int min=Integer.MAX_VALUE; int t; int i; for(i=0;i<dist.length;i++) if(((1<<i)|mask)!=mask) break; t=2*dist1[i]+doit(mask|(1<<i)); if(t<min) { min=t; path[mask]=(1<<i); } for(int j=i+1;j<dist.length;j++) { if(((1<<j)|mask)==mask) continue; t=dist[i][j]+doit(mask|(1<<i)|(1<<j)); if(t<min) { min=t; path[mask]=(1<<i)|(1<<j); } } return dp[mask]=min; } public static void main(String[] args) { Scanner sc=new Scanner(System.in); x=sc.nextInt();y=sc.nextInt(); a=new Point[sc.nextInt()]; for(int i=0;i<a.length;i++) { a[i]=new Point(sc.nextInt(), sc.nextInt()); } end=(1<<a.length)-1; dp=new int[1<<a.length]; Arrays.fill(dp, -1); dist=new int[a.length][a.length]; dist1=new int[a.length]; for(int i=0;i<a.length;i++) { dist1[i]=(a[i].x-x)*(a[i].x-x)+(a[i].y-y)*(a[i].y-y); for(int j=i+1;j<a.length;j++) { dist[i][j]=dist1[i]+ (a[j].x-a[i].x)*(a[j].x-a[i].x)+(a[j].y-a[i].y)*(a[j].y-a[i].y)+ (a[j].x-x)*(a[j].x-x)+(a[j].y-y)*(a[j].y-y); //System.out.println(dist[i][j]); } } path=new int[dp.length]; System.out.println(doit(0)); int e=0; int cur=path[e]; StringBuffer bf=new StringBuffer(); bf.append(0+" "); int count=0; for(int i=0;count<a.length;i++) { //System.out.println(Integer.toBinaryString(cur)+" "+cur); for(int j=0;j<a.length;j++) { if(((1<<j)|cur)==cur) { bf.append((j+1)+" "); count++; } } e|=cur; cur=path[e]; bf.append(0+" "); } System.out.println(bf); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; public class Main { public static void main(String[] args) throws java.lang.Exception { BufferedReader kek = new BufferedReader(new InputStreamReader(System.in)); //Scanner skek = new Scanner(System.in); PrintWriter outkek = new PrintWriter(System.out); String[] input = kek.readLine().split(" "); int X0 = Integer.parseInt(input[0]), Y0 = Integer.parseInt(input[1]), N = Integer.parseInt(kek.readLine()); int[] xCoords = new int[N + 1]; int[] yCoords = new int[N + 1]; int[][] distances = new int[N + 1][N + 1]; xCoords[N] = X0; yCoords[N] = Y0; for(int i = 0; i < N; i++){ input = kek.readLine().split(" "); xCoords[i] = Integer.parseInt(input[0]); yCoords[i] = Integer.parseInt(input[1]); } for(int i = 0; i <= N; i++){ for(int j = i + 1; j <= N; j++){ int temp = xCoords[i] - xCoords[j]; int temp2 = yCoords[i] - yCoords[j]; distances[i][j] = (temp * temp) + (temp2 * temp2); } } int[] aa = new int[1 << N]; int[] bb = new int[1 << N]; for(int i = 1; i < 1 << N; i++){ int a = -1; for(int j = 0; j < N; j++){ if((i & 1 << j) > 0){ a = j; break; } } int l = i ^ 1 << a; int dist = distances[a][N] + distances[a][N]; aa[i] = aa[l] + dist; bb[i] = l; for(int k = a + 1; k < N; k++){ if((i & 1 << k) > 0) { l = i ^ 1 << a ^ 1 << k; dist = distances[a][N] + distances[k][N] + distances[a][k]; if(aa[l] + dist < aa[i]){ aa[i] = aa[l] + dist; bb[i] = l; } } } } int fin = (1 << N) - 1; outkek.println(aa[fin]); outkek.print('0'); while (fin != 0){ int temp1 = bb[fin]; int temp2 = fin ^ temp1; for(int i = 0; i < N; i++){ if((temp2 & 1 << i) > 0){ outkek.print(" " + (i + 1)); } } outkek.print(" 0"); fin = temp1; } kek.close(); outkek.close(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.ArrayList; import java.util.Arrays; import java.util.HashMap; import java.util.Scanner; public class CF008C { public static void main(String[] args) { Scanner s = new Scanner(System.in); int x = s.nextInt(); int y = s.nextInt(); int n = s.nextInt(); int[] xx = new int[n+1]; int[] yy = new int[n+1]; for(int i = 0;i<n;i++){ xx[i] = s.nextInt(); yy[i] = s.nextInt(); } // int[][] dp = new int[n][n]; // for(int i = 0;i<n;i++){ // Arrays.fill(dp[i],-1); // } xx[n] = x; yy[n] = y; int[][] dp = new int[n + 1][n + 1]; for (int i = 0; i <= n; i++) for (int j = i + 1; j <= n; j++) { int dx = xx[i] - xx[j]; int dy = yy[i] - yy[j]; dp[i][j] = dx * dx + dy * dy; } int[] aa = new int[1 << n]; int[] bb = new int[1 << n]; for (int k = 1; k < 1 << n; k++) { int a = -1; for (int b = 0; b < n; b++) if ((k & 1 << b) > 0) { a = b; break; } int l = k ^ 1 << a; int d = dp[a][n] + dp[a][n]; aa[k] = aa[l] + d; bb[k] = l; for (int b = a + 1; b < n; b++) if ((k & 1 << b) > 0) { l = k ^ 1 << a ^ 1 << b; d = dp[a][n] + dp[b][n] + dp[a][b]; if (aa[l] + d < aa[k]) { aa[k] = aa[l] + d; bb[k] = l; } } } int k = (1 << n) - 1; System.out.println(aa[k]); StringBuilder sb = new StringBuilder(); sb.append(0); while (k != 0) { int l = bb[k]; int m = k ^ l; for (int b = 0; b < n; b++) if ((m & 1 << b) > 0) sb.append(' ').append(b + 1); sb.append(' ').append(0); k = l; } System.out.println(sb); } // int[] distFromOrigin = new int[n]; //// HashMap<Integer,Boolean> map = new HashMap<>(); // for(int i=0;i<n;i++){ // distFromOrigin[i] = (int) (Math.pow((xCoord[i] - x),2) + Math.pow(yCoord[i] - y,2)); //// map.put(i,true); // } // System.out.println(0); // long sum = 0; // String str = "0 "; // // while(!map.isEmpty()){ // int first = 0; // int second = Integer.MIN_VALUE; // if(map.size() == 1){ // first = new ArrayList<Integer>(map.keySet()).get(0) + 1; // int min = distFromOrigin[first - 1] + distFromOrigin[first - 1]; // sum += min; // map.remove(first - 1); // }else { // int min = Integer.MAX_VALUE; // // for (int i = 0; i < n; i++) { // for (int j = 0; j <= i; j++) { // if (map.containsKey(i) && map.containsKey(j) && distFromOrigin[i] + distFromOrigin[j] + dp[i][j] < min) { // min = distFromOrigin[i] + distFromOrigin[j] + dp[i][j]; // first = i + 1; // if(i == j){ // second = Integer.MIN_VALUE; // }else { // second = j + 1; // } // } // } // } // sum += min; // map.remove(first - 1); // if(second != Integer.MIN_VALUE){ // map.remove(second - 1); // } // } // if(second == Integer.MIN_VALUE){ // str = str + first + " "; // }else{ // if(map.size() == 0) { // str = str + first + " " + second + " "; // }else{ // str = str + first + " " + second + " 0 "; // } // } //// System.out.print(first + " " + second + " "); // } // System.out.println(sum); // System.out.println(str + "0"); // int[] ans = new int[(int)Math.pow(2,n)]; // Arrays.fill(ans,Integer.MAX_VALUE); // for(int i = 0;i<Math.pow(2,n);i++){ // for(int j = 0;j<n;j++){ // //I can't figure out how to do that. // } // } // System.out.print(sum); // System.out.print(0); private static int calculateDistanceBetweenIandJ(int[] xCoord, int[] yCoord, int i, int j) { int length = (int) (Math.pow((xCoord[i] - xCoord[j]),2) + Math.pow(yCoord[i] - yCoord[j], 2)); return length; } }
np
8_C. Looking for Order
CODEFORCES
import java.io.OutputStream; import java.io.IOException; import java.io.InputStream; import java.io.OutputStream; import java.io.PrintWriter; import java.util.Arrays; import java.io.BufferedWriter; import java.util.InputMismatchException; import java.io.IOException; import java.util.ArrayList; import java.io.Writer; import java.io.OutputStreamWriter; import java.util.Collections; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); OutputWriter out = new OutputWriter(outputStream); TaskC solver = new TaskC(); solver.solve(1, in, out); out.close(); } static class TaskC { int INF = 1000 * 1000 * 1000; public void solve(int testNumber, InputReader in, OutputWriter out) { int x0 = in.readInt(); int y0 = in.readInt(); int n = in.readInt(); int[] xs = new int[n + 1], ys = new int[n + 1]; xs[0] = x0; ys[0] = y0; for (int i = 1; i <= n; i++) { xs[i] = in.readInt(); ys[i] = in.readInt(); } int[] one = new int[n]; for (int i = 0; i < n; i++) one[i] = dist(0, i + 1, xs, ys) * 2; int[][] two = new int[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { two[i][j] = dist(0, i + 1, xs, ys) + dist(0, j + 1, xs, ys) + dist(i + 1, j + 1, xs, ys); } } int[] dp = new int[(1 << n)]; Arrays.fill(dp, INF); dp[0] = 0; int[] prev = new int[(1 << n)]; for (int mask = 0; mask < (1 << n); mask++) { for (int i = 0; i < n; i++) { if (((mask >> i) & 1) != 0) continue; ; int nmask = mask | (1 << i); int cost = one[i] + dp[mask]; if (cost < dp[nmask]) { dp[nmask] = cost; prev[nmask] = i; } for (int j = i + 1; j < n; j++) { if (((mask >> j) & 1) != 0) continue; int nnmask = nmask | (1 << j); cost = two[i][j] + dp[mask]; if (cost < dp[nnmask]) { dp[nnmask] = cost; prev[nnmask] = n + i * n + j; } } break; } } int mask = (1 << n) - 1; out.printLine(dp[mask]); ArrayList<Integer> res = new ArrayList<>(); res.add(0); while (mask > 0) { if (prev[mask] < n) { res.add(prev[mask] + 1); mask &= ~(1 << prev[mask]); } else { int ii = (prev[mask] - n) / n; int jj = (prev[mask] - n) % n; int i = Math.max(ii, jj); int j = Math.min(ii, jj); res.add(i + 1); res.add(j + 1); mask &= ~(1 << i); mask &= ~(1 << j); } res.add(0); } Collections.reverse(res); for (int val : res) out.print(val + " "); out.printLine(); } int dist(int i, int j, int[] xs, int[] ys) { return (xs[i] - xs[j]) * (xs[i] - xs[j]) + (ys[i] - ys[j]) * (ys[i] - ys[j]); } } static class InputReader { private InputStream stream; private byte[] buf = new byte[1024]; private int curChar; private int numChars; private InputReader.SpaceCharFilter filter; public InputReader(InputStream stream) { this.stream = stream; } public int read() { if (numChars == -1) { throw new InputMismatchException(); } if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) { return -1; } } return buf[curChar++]; } public int readInt() { int c = read(); while (isSpaceChar(c)) { c = read(); } int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') { throw new InputMismatchException(); } res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public boolean isSpaceChar(int c) { if (filter != null) { return filter.isSpaceChar(c); } return isWhitespace(c); } public static boolean isWhitespace(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } public interface SpaceCharFilter { public boolean isSpaceChar(int ch); } } static class OutputWriter { private final PrintWriter writer; public OutputWriter(OutputStream outputStream) { writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream))); } public OutputWriter(Writer writer) { this.writer = new PrintWriter(writer); } public void print(Object... objects) { for (int i = 0; i < objects.length; i++) { if (i != 0) { writer.print(' '); } writer.print(objects[i]); } } public void printLine() { writer.println(); } public void close() { writer.close(); } public void printLine(int i) { writer.println(i); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; import com.sun.swing.internal.plaf.basic.resources.basic; public class Main { PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out))); Scanner in = new Scanner(new BufferedReader(new InputStreamReader(System.in))); private void solution() throws IOException { int sx = in.nextInt(); int sy = in.nextInt(); int n = in.nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; ++i) { x[i] = in.nextInt(); y[i] = in.nextInt(); } int[] dp = new int[1 << n]; int[] prev = new int[1 << n]; Arrays.fill(dp, Integer.MAX_VALUE / 2); dp[0] = 0; prev[0] = -1; for (int mask = 0; mask < (1 << n); ++mask) { if (dp[mask] != Integer.MAX_VALUE / 2) { for (int next = 0; next < n; ++next) { if (((mask >> next) & 1) == 0) { int nmask = mask | (1 << next); int val = dp[mask] + 2 * getDist(sx, sy, x[next], y[next]); if (dp[nmask] > val) { dp[nmask] = val; prev[nmask] = mask; } for (int next2 = next + 1; next2 < n; ++next2) { if (((nmask >> next2) & 1) == 0) { int nnmask = nmask | (1 << next2); int nval = dp[mask] + getDist(sx, sy, x[next], y[next]) + getDist(x[next], y[next], x[next2], y[next2]) + getDist(x[next2], y[next2], sx, sy); if (dp[nnmask] > nval) { dp[nnmask] = nval; prev[nnmask] = mask; } } } break; } } } } List<Integer> res = new ArrayList<Integer>(); res.add(0); int mask = (1 << n) - 1; while (mask > 0) { for (int i = 0; i < n; ++i) { if (((prev[mask] >> i) & 1) == 0 && ((mask >> i) & 1) == 1) { res.add(i + 1); } } res.add(0); mask = prev[mask]; } Collections.reverse(res); out.println(dp[(1 << n) - 1]); for (int i = 0; i < res.size(); ++i) { if (i != 0) { out.print(" "); } out.print(res.get(i)); } out.println(); out.flush(); } private int getDist(int x1, int y1, int x2, int y2) { return (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2); } private class Scanner { private StringTokenizer tokenizer; private BufferedReader reader; public Scanner(Reader in) { reader = new BufferedReader(in); tokenizer = new StringTokenizer(""); } public boolean hasNext() throws IOException { while (!tokenizer.hasMoreTokens()) { String tmp = reader.readLine(); if (tmp == null) return false; tokenizer = new StringTokenizer(tmp); } return true; } public String next() throws IOException { hasNext(); return tokenizer.nextToken(); } public String nextLine() throws IOException { tokenizer = new StringTokenizer(""); return reader.readLine(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } } public static void main(String[] args) throws IOException { new Main().solution(); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; import static java.lang.Math.*; public class BetaRound8_C implements Runnable { BufferedReader in; PrintWriter out; StringTokenizer tok; @Override public void run() { try { long startTime = System.currentTimeMillis(); if (System.getProperty("ONLINE_JUDGE") != null) { in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); } else { in = new BufferedReader(new FileReader("input.txt")); out = new PrintWriter("output.txt"); } tok = new StringTokenizer(""); Locale.setDefault(Locale.US); solve(); in.close(); out.close(); long endTime = System.currentTimeMillis(); long totalMemory = Runtime.getRuntime().totalMemory(); long freeMemory = Runtime.getRuntime().freeMemory(); System.err.println("Time = " + (endTime - startTime) + " ms"); System.err.println("Memory = " + ((totalMemory - freeMemory) / 1024) + " KB"); } catch (Throwable e) { e.printStackTrace(System.err); System.exit(-1); } } String readString() throws IOException { while (!tok.hasMoreTokens()) { tok = new StringTokenizer(in.readLine()); } return tok.nextToken(); } int readInt() throws IOException { return Integer.parseInt(readString()); } long readLong() throws IOException { return Long.parseLong(readString()); } double readDouble() throws IOException { return Double.parseDouble(readString()); } void debug(Object... o) { System.err.println(Arrays.deepToString(o)); } public static void main(String[] args) { new Thread(null, new BetaRound8_C(), "", 256 * 1024 * 1024).start(); } // ------------------------------------------------------------------------------ final int INF = 1000 * 1000 * 1000; int x0, y0; int n; int[] x, y; int t(int i, int j) { int dx = x[i] - x[j]; int dy = y[i] - y[j]; return dx * dx + dy * dy; } int t0(int i) { int dx = x[i] - x0; int dy = y[i] - y0; return dx * dx + dy * dy; } int[] dp; int[] p; void solve() throws IOException { x0 = readInt(); y0 = readInt(); n = readInt(); x = new int[n]; y = new int[n]; for (int i = 0; i < n; i++) { x[i] = readInt(); y[i] = readInt(); } dp = new int[1 << n]; p = new int[1 << n]; Arrays.fill(dp, INF); dp[(1 << n) - 1] = 0; get(0); out.println(dp[0]); printPath(); } int get(int mask) { if (dp[mask] != INF) { return dp[mask]; } int res = INF; for (int i = 0; i < n; i++) { if (((1 << i) & mask) == 0) { // порядок неважен, т.к. в i все равно идти, пойдем туда сразу int test = get(mask ^ (1 << i)) + 2 * t0(i); if (res > test) { res = test; p[mask] = mask ^ (1 << i); } for (int j = i + 1; j < n; j++) { if (((1 << j) & mask) == 0) { test = get(mask ^ (1 << i) ^ (1 << j)) + t0(i) + t(i, j) + t0(j); if (res > test) { res = test; p[mask] = mask ^ (1 << i) ^ (1 << j); } } } break; } } return dp[mask] = res; } void printPath() { ArrayList<Integer> ans = new ArrayList<Integer>(); ans.add(0); int mask = 0; while (mask != (1 << n) - 1) { for (int i = 0; i < n; i++) { if (((mask ^ p[mask]) & (1 << i)) != 0) { ans.add(i + 1); } } mask = p[mask]; ans.add(0); } for (int x : ans) { out.print(x + " "); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; public class Main { private void run() throws IOException { int cx = in.nextInt(); int cy = in.nextInt(); int n = in.nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; ++i) { x[i] = in.nextInt() - cx; y[i] = in.nextInt() - cy; } int[] dp = new int[1 << n]; Arrays.fill(dp, Integer.MAX_VALUE); dp[0] = 0; int[] prev = new int[1 << n]; for (int mask = 0; mask < (1 << n); ++mask) { if (dp[mask] == Integer.MAX_VALUE) { continue; } for (int i = 0; i < n; ++i) { if (((mask >> i) & 1) == 0) { if (dp[mask | (1 << i)] > dp[mask] + dist(x[i], y[i])) { dp[mask | (1 << i)] = dp[mask] + dist(x[i], y[i]); prev[mask | (1 << i)] = mask; } for (int j = i + 1; j < n; ++j) { if (((mask >> j) & 1) == 0) { if (dp[mask | (1 << i) | (1 << j)] > dp[mask] + dist(x[i], y[i], x[j], y[j])) { dp[mask | (1 << i) | (1 << j)] = dp[mask] + dist(x[i], y[i], x[j], y[j]); prev[mask | (1 << i) | (1 << j)] = mask; } } } break; } } } out.println(dp[(1 << n) - 1]); int mask = (1 << n) - 1; out.print(0); while (mask != 0) { int p = prev[mask]; int cur = p ^ mask; List<Integer> who = new ArrayList<Integer>(); for (int i = 0; i < n; ++i) { if (((cur >> i) & 1) != 0) { who.add(i + 1); } } for (int t : who) { out.print(" " + t); } out.print(" " + 0); mask = p; } out.flush(); } private int dist(int x, int y, int x2, int y2) { return x * x + y * y + x2 * x2 + y2 * y2 + (x2 - x) * (x2 - x) + (y2 - y) * (y2 - y); } private int dist(int x, int y) { return 2 * (x * x + y * y); } private class Scanner { private StringTokenizer tokenizer; private BufferedReader reader; public Scanner(Reader in) { reader = new BufferedReader(in); tokenizer = new StringTokenizer(""); } public double nextDouble() throws IOException { return Double.parseDouble(next()); } public boolean hasNext() throws IOException { while (!tokenizer.hasMoreTokens()) { String next = reader.readLine(); if (next == null) return false; tokenizer = new StringTokenizer(next); } return true; } public String next() throws IOException { hasNext(); return tokenizer.nextToken(); } public String nextLine() throws IOException { tokenizer = new StringTokenizer(""); return reader.readLine(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } } public static void main(String[] args) throws IOException { new Main().run(); } Scanner in = new Scanner(new InputStreamReader(System.in)); PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out))); }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; public class MainC { private FastScanner in; private PrintWriter out; private int N; private Dist[] dists; private int countDists; private int[][] minLeft;// startsFrom, count private int[] minOrder; private int minOrderCount = 10000000; public void solve() throws IOException { int xb = in.nextInt(); int yb = in.nextInt(); N = in.nextInt(); int[] x, y; boolean isOdd; if (N % 2 == 0) { x = new int[N]; y = new int[N]; isOdd = false; } else { x = new int[N + 1]; y = new int[N + 1]; isOdd = true; } for (int i = 0; i < N; i++) { x[i] = in.nextInt() - xb; y[i] = in.nextInt() - yb; } if (N % 2 == 1) { N++; x[N - 1] = 0; y[N - 1] = 0; } countDists = N * (N - 1) / 2; dists = new Dist[countDists]; int c = 0; int commonSum = 0; for (int i = 0; i < N; i++) { for (int j = i + 1; j < N; j++) { dists[c] = new Dist(); dists[c].from = i; dists[c].to = j; dists[c].dist = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); dists[c].dist = Math.min(dists[c].dist, x[i] * x[i] + y[i] * y[i] + x[j] * x[j] + y[j] * y[j]); c++; } commonSum += x[i] * x[i] + y[i] * y[i]; } Arrays.sort(dists); minLeft = new int[countDists][N + 1]; for (int i = 0; i < countDists; i++) { int sum = 0; for (int j = 1; j <= N; j++) { if (i + j - 1 < countDists) { sum = sum + dists[i + j - 1].dist; minLeft[i][j] = sum; } else { minLeft[i][j] = 100000000; } } } order(0, new int[N], 0, 0); out.println(minOrderCount + commonSum); for (int i = 1; i <= N / 2; i++) { int first = -1; int second = -1; for (int j = 0; j < N; j++) { if (minOrder[j] == i) { if (first == -1) { first = j; } else { second = j; } } } if (isOdd && (first == N - 1 || second == N - 1)) { first++; second++; out.print("0 " + (first + second - N) + " "); } else if (x[first] * x[first] + y[first] * y[first] + x[second] * x[second] + y[second] * y[second] < (x[first] - x[second]) * (x[first] - x[second]) + (y[first] - y[second]) * (y[first] - y[second])) { first++; second++; out.print("0 " + first + " 0 " + second + " "); } else { first++; second++; out.print("0 " + first + " " + second + " "); } } out.println("0"); } private void order(int countOrdered, int[] order, int startsFrom, int sum) { if (countOrdered == N) { if (sum < minOrderCount) { minOrder = Arrays.copyOf(order, N); minOrderCount = sum; } return; } while (startsFrom < countDists) { if (order[dists[startsFrom].from] == 0 && order[dists[startsFrom].to] == 0) { if (minLeft[startsFrom][(N - countOrdered) / 2] + sum >= minOrderCount) { break; } order[dists[startsFrom].from] = countOrdered / 2 + 1; order[dists[startsFrom].to] = countOrdered / 2 + 1; order(countOrdered + 2, order, startsFrom + 1, sum + dists[startsFrom].dist); order[dists[startsFrom].from] = 0; order[dists[startsFrom].to] = 0; } startsFrom++; } } private class Dist implements Comparable<Dist> { int from; int to; int dist; @Override public int compareTo(Dist o) { if (dist < o.dist) { return -1; } if (dist == o.dist) { return 0; } return 1; } } public void run() { try { in = new FastScanner(System.in); out = new PrintWriter(System.out); solve(); out.close(); } catch (IOException e) { e.printStackTrace(); } } class FastScanner { BufferedReader br; StringTokenizer st; FastScanner(InputStream is) { br = new BufferedReader(new InputStreamReader(is)); } String next() { while (st == null || !st.hasMoreTokens()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } } public static void main(String[] arg) { new MainC().run(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.ArrayList; import java.util.Arrays; import java.util.Scanner; public class C { public static void main(String[] args) { //long t = System.currentTimeMillis(); new C().run(); //System.out.println(System.currentTimeMillis() - t); } private void run() { Scanner sc = new Scanner(System.in); int sx = sc.nextInt(); int sy = sc.nextInt(); int n = sc.nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; i++) { x[i] = sc.nextInt(); y[i] = sc.nextInt(); } sc.close(); int[] w = new int[n * n]; int[] pMask = new int[n * n]; for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { int ind = i * n + j; if (i == j) { w[ind] = 2 * dist(sx, sy, x[i], y[i]); pMask[ind] = 1 << i; } else { w[ind] = dist(sx, sy, x[i], y[i]) + dist(x[i], y[i], x[j], y[j]) + dist(x[j], y[j], sx, sy); pMask[ind] = 1 << i | 1 << j; } } } int max = 1 << n; int[] p = new int[max]; int[] dist = new int[max]; Arrays.fill(dist, Integer.MAX_VALUE / 2); dist[0] = 0; int[] available = new int[n * n]; for (int mask = 0; mask < max; mask++) { int ac = 0; for (int i = 0; i < n; i++) { if (((mask >> i) & 1) == 0) { available[ac++] = i; } } int s = 0; //for (int i = 0; i < ac; i++) { for (int j = s; j < ac; j++) { int a = available[s]; int b = available[j]; int ind = a * n + b; int nextMask = mask | pMask[ind]; int newD = dist[mask] + w[ind]; if (newD < dist[nextMask]) { dist[nextMask] = newD; //p[nextMask] = a * n + b; p[nextMask] = ind; } } //} } System.out.println(dist[max - 1]); ArrayList<Integer> steps = new ArrayList<Integer>(); int mask = max - 1; while (mask > 0) { int msk = p[mask]; steps.add(msk); int a = msk / n; int b = msk % n; if (a == b) { mask ^= 1 << a; } else { mask ^= 1 << a; mask ^= 1 << b; } } System.out.print(0); for (int i = steps.size() - 1; i >= 0; i--) { int msk = steps.get(i); int a = msk / n; int b = msk % n; if (a == b) { System.out.printf(" %d 0", a + 1); } else { System.out.printf(" %d %d 0", a + 1, b + 1); } } System.out.println(); } private int dist(int x1, int y1, int x2, int y2) { return (x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; public class c8 { static int n; static int[] ds; static int[][] g; public static void main(String[] args) { Scanner input = new Scanner(System.in); int x = input.nextInt(), y = input.nextInt(); n = input.nextInt(); int[] xs = new int[n], ys = new int[n]; for(int i = 0; i<n; i++) { xs[i] = input.nextInt(); ys[i] = input.nextInt(); } ds = new int[n]; g = new int[n][n]; for(int i = 0; i<n; i++) { ds[i] = (x - xs[i]) * (x - xs[i]) + (y - ys[i]) * (y - ys[i]); for(int j = 0; j<n; j++) { g[i][j] = (xs[i] - xs[j]) * (xs[i] - xs[j]) + (ys[i] - ys[j]) * (ys[i] - ys[j]); } } int[] dp = new int[1<<n]; Arrays.fill(dp, 987654321); dp[0] = 0; for(int i = 0; i<(1<<n); i++) { if(dp[i] == 987654321) continue; for(int a = 0; a<n; a++) { if((i & (1<<a)) > 0) continue; dp[i | (1<<a)] = Math.min(dp[i | (1<<a)], dp[i] + 2*ds[a]); for(int b = a+1; b<n; b++) { if((i & (1<<b)) > 0) continue; dp[i | (1<<a) | (1<<b)] = Math.min(dp[i | (1<<a) | (1<<b)], dp[i] + ds[a] + ds[b] + g[a][b]); } break; } } Stack<Integer> stk = new Stack<Integer>(); stk.add(0); int i = (1<<n) - 1; //System.out.println(Arrays.toString(dp)); trace: while(i > 0) { //System.out.println(i); for(int a = 0; a<n; a++) { if((i & (1<<a)) == 0) continue; if( dp[i] == dp[i - (1<<a)] + 2*ds[a]) { stk.add(a+1); stk.add(0); i -= (1<<a); continue trace; } for(int b = a+1; b<n; b++) { if((i & (1<<b)) == 0) continue; if(dp[i] == dp[i - (1<<a) - (1<<b)] + ds[a] + ds[b] + g[a][b]) { stk.add(a+1); stk.add(b+1); stk.add(0); i -= (1<<a) + (1<<b); continue trace; } } //break; } } System.out.println(dp[(1<<n) - 1]); while(!stk.isEmpty()) System.out.print(stk.pop()+" "); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import java.io.*; public class C0008 { public static void main(String args[]) throws Exception { new C0008(); } int n; int target; int pow[]; int dp[]; int next[]; int dist[][]; C0008() throws Exception { PandaScanner sc = null; PrintWriter out = null; try { sc = new PandaScanner(System.in); out = new PrintWriter(System.out); } catch (Exception ignored) { } pow = new int[26]; for (int i = 0; i < 26; i++) { pow[i] = 1 << i; } dist = new int[26][26]; int[][] p = new int[26][]; p[25] = new int[] {sc.nextInt(), sc.nextInt()}; n = sc.nextInt(); target = (1 << n) - 1; for (int i = 0; i < n; i++) { p[i] = new int[] {sc.nextInt(), sc.nextInt()}; dist[i][25] = getDist(p[i], p[25]); for (int j = 0; j < i; j++) { dist[j][i] = getDist(p[j], p[i]); } } next = new int[1 << n]; dp = new int[1 << n]; Arrays.fill(dp, -1); out.println(go(0)); ArrayList<Integer> paths = new ArrayList<Integer>(); paths.add(0); int curr = 0; while (curr != target) { for (Integer i: getBits(next[curr], true)) { paths.add(i + 1); } paths.add(0); curr |= next[curr]; } out.println(paths.toString().replaceAll("[^ 0-9]", "")); out.close(); System.exit(0); } int go(int mask) { if (mask == target) { return 0; } if (dp[mask] != -1) { return dp[mask]; } ArrayList<Integer> notDone = getBits(mask, false); dp[mask] = Integer.MAX_VALUE; for (Integer i: notDone) { int oneD = (dist[i][25] << 1) + go(mask | pow[i]); if (dp[mask] > oneD) { dp[mask] = oneD; next[mask] = 1 << i; } for (Integer j: notDone) { if (j == i) continue; int d = (dist[j][25] + dist[i][j] + dist[i][25]) + go(mask | pow[i] | pow[j]); if (dp[mask] > d) { dp[mask] = d; next[mask] = (1 << i) | (1 << j); } } break; } return dp[mask]; } int getDist(int[] p1, int[] p2) { return sq(p1[0] - p2[0]) + sq(p1[1] - p2[1]); } int sq(int a) { return a * a; } ArrayList<Integer> getBits(int mask, boolean on) { ArrayList<Integer> res = new ArrayList<Integer>(); for (int i = 0; i < n; i++) { if (((mask & (1 << i)) == 0) ^ on) { res.add(i); } } return res; } //The PandaScanner class, for Panda fast scanning! public class PandaScanner { BufferedReader br; StringTokenizer st; InputStream in; PandaScanner(InputStream in) throws Exception { br = new BufferedReader(new InputStreamReader(this.in = in)); } public String next() throws Exception { if (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(br.readLine().trim()); return next(); } return st.nextToken(); } public boolean hasNext() throws Exception { return (st != null && st.hasMoreTokens()) || in.available() > 0; } public long nextLong() throws Exception { return Long.parseLong(next()); } public int nextInt() throws Exception { return Integer.parseInt(next()); } } }
np
8_C. Looking for Order
CODEFORCES
import static java.util.Arrays.*; import static java.lang.Math.*; import java.util.*; import java.io.*; public class Main implements Runnable { public static void main(String [] args) throws IOException { new Thread(null, new Main(), "", 1 << 20).start(); } String file = "input"; BufferedReader input; PrintWriter out; public void run() { try { //input = new BufferedReader(new FileReader(file + ".in")); input = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(new BufferedOutputStream(System.out)); solve(); input.close(); out.close(); } catch(Exception e) { e.printStackTrace(); System.exit(1); } } int[] x = new int[25]; int[] y = new int[25]; int[][] dist = new int[25][25]; int[] single = new int[25]; int[] c = new int[25]; int INF = 1 << 30; void solve() throws IOException { StringTokenizer st = tokens(); x[0] = nextInt(st); y[0] = nextInt(st); int n = nextInt(); for(int i = 1; i <= n; i++) { st = tokens(); x[i] = nextInt(st); y[i] = nextInt(st); } for(int i = 1; i <= n; i++) single[i] = 2 * ((x[i] - x[0]) * (x[i] - x[0]) + (y[i] - y[0]) * (y[i] - y[0])); for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) dist[i][j] = single[i] / 2 + single[j] / 2 + (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); int[] dp = new int[1 << n]; int[] prev = new int[1 << n]; fill(dp, INF); dp[0] = 0; for(int i = 1; i < 1 << n; i++) { for(int j = 0; j < n; j++) { if((i >> j & 1) != 0) { if(dp[i] > dp[i ^ (1 << j)] + single[j + 1]) { dp[i] = dp[i ^ (1 << j)] + single[j + 1]; prev[i] = j + 1; } for(int k = j + 1; k < n; k++) if((i >> k & 1) != 0) { if(dp[i] > dp[i ^ (1 << j) ^ (1 << k)] + dist[j + 1][k + 1]) { dp[i] = dp[i ^ (1 << j) ^ (1 << k)] + dist[j + 1][k + 1]; prev[i] = (j + 1) * 100 + (k + 1); } } break; } } } out.println(dp[(1 << n) - 1]); out.print("0 "); int mask = (1 << n) - 1; while(mask > 0) { int s = prev[mask]; int x = s / 100; int y = s % 100; if(x == 0) { out.print(y + " " + 0 + " "); mask -= 1 << (y - 1); } else { out.print(x + " " + y + " " + 0 + " "); mask -= 1 << (y - 1); mask -= 1 << (x - 1); } } } StringTokenizer tokens() throws IOException { return new StringTokenizer(input.readLine()); } String next(StringTokenizer st) { return st.nextToken(); } int nextInt() throws IOException { return Integer.parseInt(input.readLine()); } int nextInt(StringTokenizer st) { return Integer.parseInt(st.nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(input.readLine()); } double nextDouble(StringTokenizer st) { return Double.parseDouble(st.nextToken()); } void print(Object... o) { out.println(deepToString(o)); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; public class LookingForOrder { public Scanner in = new Scanner(System.in); public PrintStream out = System.out; public int[] go; public int[][] cost; public int [] sol; public Pair[] how; public int n, lim; public Pair bag; public Pair[] obj; public void main() { bag = new Pair(in.nextInt(), in.nextInt()); n = in.nextInt(); obj = new Pair[n]; for(int i=0;i<n;++i) obj[i] = new Pair(in.nextInt(), in.nextInt()); go = new int[n]; cost = new int[n][n]; for(int i=0;i<n;++i) { go[i] = squDist(bag, obj[i]); for(int j=0;j<n;++j) cost[i][j] = squDist(obj[i], obj[j]); } lim = (1<<n); sol = new int[lim]; Arrays.fill(sol, -1); how = new Pair[lim]; out.println(solve(lim-1)); Pair T; int set = lim-1; out.print("0"); while(set > 0) { solve(set); T = how[set]; out.print(" "+(T.x+1)); set = off(T.x, set); if(T.y >= 0) { out.print(" " + (T.y+1)); set = off(T.y, set); } out.print(" 0"); } out.println(); }//end public void main() public int oo = 987654321; public boolean in(int x, int set) { return ((1<<x) & set) != 0; } //Turn on bit x public int on(int x, int set) { return (set | (1<<x)); } //Turn off bit x public int off(int x, int set) { return (set ^ (set & (1<<x)) ); } public int solve(int set) { if(sol[set] >= 0) return sol[set]; int ret; if(set == 0) ret = 0; else { ret = oo; int x, y, sub, c; for(x=0;x<n;++x) if(in(x, set)) break; sub = off(x, set); c = go[x]+go[x]+solve(sub); if(c < ret) { how[set] = new Pair(x, -1); ret = c; } for(y=x+1;y<n;++y) if(in(y, set)) { c = go[x]+cost[x][y]+go[y] + solve(off(y, sub)); if(c < ret) { ret = c; how[set] = new Pair(x, y); } } } return sol[set] = ret; } public int squDist(int ax, int ay, int bx, int by) { int dx, dy; dx = ax - bx; dy = ay - by; return dx*dx + dy*dy; } public int squDist(Pair p, Pair q) { return squDist(p.x, p.y, q.x, q.y); } //int pair private class Pair implements Comparable<Pair> { public int x, y; public Pair(int xx, int yy) { x = xx; y = yy; } public int compareTo(Pair u) { if(x!=u.x) return x-u.x; return y-u.y; } public String toString() { return "(" + x + "," + y + ")"; } } public static void main(String[] args) { (new LookingForOrder()).main(); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.util.StringTokenizer; public class LookingForOrder { static int[][] pos; static int[] dp; static int[] nextstate; static int[][] dist; static int r; static int v; static void print(int mask) { if (mask < v) { int c = 0; int x = mask ^ nextstate[mask]; for (int i = 0; i < dist.length - 1; i++) { if((x & (1<<i))>0) { System.out.print(i+1 + " "); c++; } } System.out.print("0 "); print(nextstate[mask]); } } static int distace(int x1, int x2, int y1, int y2) { return (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1); } static int solve(int mask) { if (mask == v) { nextstate[mask] = r; return 0; } if (nextstate[mask] != 0) { return dp[mask]; } dp[mask] = (int) 1e9; for (int i = 1; i < pos.length; i++) { int u = (1 << (i - 1)); int z = mask | u; if ((mask & u) == 0) { int x = 2 * dist[i][0] + solve(z); if (dp[mask] > x) { dp[mask] = x; nextstate[mask] = z; } for (int j = 1; j < pos.length; j++) { int m = (1 << j - 1); int y = z | m; if ((z & m) == 0) { x = dist[i][0] + solve(y) + dist[i][j] + dist[j][0]; if (dp[mask] > x) { dp[mask] = x; nextstate[mask]= y; } } } break; } } return dp[mask]; } public static void main(String[] args) { InputReader0 in = new InputReader0(System.in); int x = in.nextInt(), y = in.nextInt(); int n = in.nextInt(); r = 1 << n; v = r - 1; dp = new int[r]; nextstate = new int[r]; pos = new int[n + 1][2]; pos[0][0] = x; pos[0][1] = y; for (int i = 1; i < pos.length; i++) { pos[i][0] = in.nextInt(); pos[i][1] = in.nextInt(); } dist = new int[n + 1][n + 1]; for (int i = 0; i < dist.length; i++) { for (int j = i + 1; j < dist.length; j++) { dist[i][j] = dist[j][i] = distace(pos[i][0], pos[j][0], pos[i][1], pos[j][1]); } } System.out.println(solve(0)); System.out.print("0 "); print(0); } } class InputReader0 { BufferedReader reader; StringTokenizer tokenizer; public InputReader0(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream)); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public long nextLong() { return Long.parseLong(next()); } public int nextInt() { return Integer.parseInt(next()); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Bag implements Runnable { private void solve() throws IOException { int xs = nextInt(); int ys = nextInt(); int n = nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; ++i) { x[i] = nextInt(); y[i] = nextInt(); } int[][] pair = new int[n][n]; for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) pair[i][j] = (x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys) + (x[j] - xs) * (x[j] - xs) + (y[j] - ys) * (y[j] - ys) + (x[j] - x[i]) * (x[j] - x[i]) + (y[j] - y[i]) * (y[j] - y[i]); int[] single = new int[n]; for (int i = 0; i < n; ++i) { single[i] = 2 * ((x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys)); } int[] best = new int[1 << n]; int[] prev = new int[1 << n]; for (int set = 1; set < (1 << n); ++set) { int i; for (i = 0; i < n; ++i) if ((set & (1 << i)) != 0) break; best[set] = best[set ^ (1 << i)] + single[i]; prev[set] = i + 1; for (int j = i + 1; j < n; ++j) if ((set & (1 << j)) != 0) { int cur = best[set ^ (1 << i) ^ (1 << j)] + pair[i][j]; if (cur < best[set]) { best[set] = cur; prev[set] = (i + 1) * 100 + (j + 1); } } } writer.println(best[(1 << n) - 1]); int now = (1 << n) - 1; writer.print("0"); while (now > 0) { int what = prev[now]; int wa = what % 100 - 1; int wb = what / 100 - 1; if (wa >= 0) { writer.print(" "); writer.print(wa + 1); now ^= 1 << wa; } if (wb >= 0) { writer.print(" "); writer.print(wb + 1); now ^= 1 << wb; } writer.print(" "); writer.print("0"); } writer.println(); } public static void main(String[] args) { new Bag().run(); } BufferedReader reader; StringTokenizer tokenizer; PrintWriter writer; public void run() { try { reader = new BufferedReader(new InputStreamReader(System.in)); tokenizer = null; writer = new PrintWriter(System.out); solve(); reader.close(); writer.close(); } catch (Exception e) { e.printStackTrace(); System.exit(1); } } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } String nextToken() throws IOException { while (tokenizer == null || !tokenizer.hasMoreTokens()) { tokenizer = new StringTokenizer(reader.readLine()); } return tokenizer.nextToken(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import static java.lang.Math.*; public class C { public static void main(String[] args){ Scanner sc = new Scanner(System.in); hx = sc.nextInt(); hy = sc.nextInt(); N = sc.nextInt(); X = new int[N]; Y = new int[N]; for(int i = 0; i < N;i++){ X[i] = sc.nextInt(); Y[i] = sc.nextInt(); } DP = new int[1<<N]; Arrays.fill(DP,-1); int ans = recur(0); ArrayList<Integer> aa = new ArrayList<Integer>(); int U = 0; aa.add(0); int test = 0; while(U != (1<<N)-1){ int a = 0; for(int i = 0; i < N;i++) if(((1<<i)&U) == 0){ a = i; break; } int ans2 = recur(U|(1<<a))+2*(pw(X[a]-hx)+pw(Y[a]-hy)); int temp = 2*(pw(X[a]-hx)+pw(Y[a]-hy)); int best = -1; for(int i = a+1;i<N;i++){ if(((1<<i)&U) == 0){ int ans3 = pw(X[a]-X[i])+pw(Y[a]-Y[i])+pw(X[a]-hx)+pw(Y[a]-hy)+pw(X[i]-hx)+pw(Y[i]-hy)+recur(U|(1<<a)|(1<<i)); if(ans3 < ans2){ ans2 = ans3; best = i; temp = pw(X[a]-X[i])+pw(Y[a]-Y[i])+pw(X[a]-hx)+pw(Y[a]-hy)+pw(X[i]-hx)+pw(Y[i]-hy); } } } if(best == -1){ aa.add(a+1); aa.add(0); U |= (1<<a); }else{ aa.add(a+1); aa.add(best+1); aa.add(0); U |= (1<<a) | (1<<best); } test += temp; } // System.out.println(test); if(test != ans) throw new RuntimeException(); System.out.println(ans); for(int i = 0; i < aa.size();i++) System.out.print(aa.get(i)+(i == aa.size()-1?"":" ")); System.out.println(); } private static int recur(int U) { if(DP[U] != -1) return DP[U]; if(U == (1<<N)-1) return 0; int a = 0; for(int i = 0; i < N;i++) if(((1<<i)&U) == 0){ a = i; break; } int ans = recur(U|(1<<a))+2*(pw(X[a]-hx)+pw(Y[a]-hy)); for(int i = a+1;i<N;i++){ if(((1<<i)&U) == 0){ ans = min(ans,pw(X[a]-X[i])+pw(Y[a]-Y[i])+pw(X[a]-hx)+pw(Y[a]-hy)+pw(X[i]-hx)+pw(Y[i]-hy)+recur(U|(1<<a)|(1<<i))); } } DP[U] = ans; return ans; } static int pw(int a){ return a*a; } static int hx,hy; static int[] X,Y; static int N; static int[] DP; }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; public class Main { public static void main(String[] args) throws IOException { new Main().run(); } BufferedReader in; PrintWriter out; StringTokenizer st = new StringTokenizer(""); int INF = Integer.MAX_VALUE >> 1; void run() throws IOException { in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); /* Input */ int x0 = nextInt(); int y0 = nextInt(); int N = nextInt(); int FULL_MASK = (1 << N) - 1; int[] xs = new int [N]; int[] ys = new int [N]; for (int i = 0; i < N; i++) { xs[i] = nextInt(); ys[i] = nextInt(); } /* Precalc */ int[][] dist = new int [N][N]; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) dist[i][j] = dist(x0, y0, xs[i], ys[i]) + dist(xs[i], ys[i], xs[j], ys[j]) + dist(xs[j], ys[j], x0, y0); /* DP */ int[] dp = new int [1 << N]; int[] pr = new int [1 << N]; Arrays.fill(dp, INF); dp[0] = 0; for (int mask = 0; mask < FULL_MASK; mask++) { int i = Integer.numberOfTrailingZeros(~mask); // hack: use first non-zero bit int imask = mask | (1 << i); for (int j = i; j < N; j++) { int jmask = mask | (1 << j); if (jmask == mask) continue; int ijmask = imask | jmask; int nval = dp[mask] + dist[i][j]; if (dp[ijmask] > nval) { dp[ijmask] = nval; pr[ijmask] = mask; } } } /* Output */ out.println(dp[FULL_MASK]); out.print("0"); for (int mask = FULL_MASK; mask != 0; mask = pr[mask]) { int diff = mask ^ pr[mask]; int i = Integer.numberOfTrailingZeros(diff); diff &= ~(1 << i); int j = Integer.numberOfTrailingZeros(diff); if (i != 32) out.print(" " + (i + 1)); if (j != 32) out.print(" " + (j + 1)); out.print(" 0"); } out.println(); out.close(); } /*************************************************************** * Utility **************************************************************/ int dist(int x1, int y1, int x2, int y2) { return sqr(x2 - x1) + sqr(y2 - y1); } int sqr(int x) { return x * x; } /*************************************************************** * Input **************************************************************/ String nextToken() throws IOException { while (!st.hasMoreTokens()) st = new StringTokenizer(in.readLine()); return st.nextToken(); } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.InputStreamReader; import java.util.Arrays; import java.util.StringTokenizer; public class CodeD { static class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); public String nextLine() { try { return br.readLine(); } catch(Exception e) { throw(new RuntimeException()); } } public String next() { while(!st.hasMoreTokens()) { String l = nextLine(); if(l == null) return null; st = new StringTokenizer(l); } return st.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public long nextLong() { return Long.parseLong(next()); } public double nextDouble() { return Double.parseDouble(next()); } public int[] nextIntArray(int n) { int[] res = new int[n]; for(int i = 0; i < res.length; i++) res[i] = nextInt(); return res; } public long[] nextLongArray(int n) { long[] res = new long[n]; for(int i = 0; i < res.length; i++) res[i] = nextLong(); return res; } public double[] nextDoubleArray(int n) { double[] res = new double[n]; for(int i = 0; i < res.length; i++) res[i] = nextLong(); return res; } public void sortIntArray(int[] array) { Integer[] vals = new Integer[array.length]; for(int i = 0; i < array.length; i++) vals[i] = array[i]; Arrays.sort(vals); for(int i = 0; i < array.length; i++) array[i] = vals[i]; } public void sortLongArray(long[] array) { Long[] vals = new Long[array.length]; for(int i = 0; i < array.length; i++) vals[i] = array[i]; Arrays.sort(vals); for(int i = 0; i < array.length; i++) array[i] = vals[i]; } public void sortDoubleArray(double[] array) { Double[] vals = new Double[array.length]; for(int i = 0; i < array.length; i++) vals[i] = array[i]; Arrays.sort(vals); for(int i = 0; i < array.length; i++) array[i] = vals[i]; } } static final Scanner sc; static final int n; static final int[][] distancias; static final int[] distancia; static final int[] dp; static final int[] dpNext; static final int X; static final int Y; static { sc = new Scanner(); X = sc.nextInt(); Y = sc.nextInt(); n = sc.nextInt(); distancias = new int[n][n]; distancia = new int[n]; dp = new int[1 << n]; Arrays.fill(dp, -1); dpNext = new int[1 << n]; } static int dp(int mascara) { if(dp[mascara] != -1) return dp[mascara]; int highest = -1; for(int i = 0, tmp = mascara; tmp != 0; i++, tmp >>= 1) { if((tmp & 1) == 1) highest = i; } if(highest == -1) return 0; int nextMsc = mascara ^ (1 << highest); int costHighest = distancia[highest]; int best = (costHighest << 1) + dp(nextMsc); int bestNext = nextMsc; for(int i = 0, tmp = nextMsc, iC = 1; tmp != 0; i++, tmp >>= 1, iC <<= 1) { if((tmp & 1) == 1) { int msc = nextMsc ^ iC; int possibleA = costHighest + distancias[highest][i] + distancia[i] + dp(msc); if(possibleA < best) { best = possibleA; bestNext = msc; } } } dpNext[mascara] = bestNext; return dp[mascara] = best; } public static void main(String[] args) { int[][] objetos = new int[n][2]; for(int i = 0; i < n; i++) { objetos[i][0] = sc.nextInt(); objetos[i][1] = sc.nextInt(); distancia[i] = (X - objetos[i][0]) * (X - objetos[i][0]) + (Y - objetos[i][1]) * (Y - objetos[i][1]); } for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) distancias[i][j] = (objetos[i][0] - objetos[j][0]) * (objetos[i][0] - objetos[j][0]) + (objetos[i][1] - objetos[j][1]) * (objetos[i][1] - objetos[j][1]); int ans = dp((1 << n) - 1); System.out.println(ans); int current = (1 << n) - 1; while(current != 0) { int next = dpNext[current]; int differents = next ^ current; System.out.print("0 "); for(int i = 0; i < n; i++) if((differents & (1 << i)) != 0) System.out.print((i + 1) + " "); current = next; } System.out.println("0"); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.OutputStreamWriter; import java.util.Arrays; import java.util.StringTokenizer; public class _8C { static int[] x = new int[30], y = new int[30]; static int[][] dist = new int[30][30]; static int n; static final int M = 1000; static int[] bitPos = new int[M]; static { Arrays.fill(bitPos, -1); for (int i=0; i<24; i++) bitPos[(1 << i) % M] = i; } static int sqr(int i) { return i * i; } public static void main(String[] args) throws Exception { Reader.init(System.in); BufferedWriter cout = new BufferedWriter(new OutputStreamWriter(System.out)); x[0] = Reader.nextInt(); y[0] = Reader.nextInt(); n = Reader.nextInt(); for (int i=1; i<=n; i++) { x[i] = Reader.nextInt(); y[i] = Reader.nextInt(); } for (int i=0; i<=n; i++) for (int j=0; j<=n; j++) dist[i][j] = sqr(x[i] - x[j]) + sqr(y[i] - y[j]); int[] f = new int[1 << n]; int[] r = new int[1 << n]; for (int mask=1; mask<(1 << n); mask++) { int lowbit = mask & -mask; int lowbitPos = bitPos[lowbit % M]; f[mask] = dist[lowbitPos + 1][0] * 2 + f[mask ^ lowbit]; r[mask] = lowbit; for (int i=mask^(lowbit); i>0; i=i^(i & -i)) { int otherBit = i & -i; int otherBitPos = bitPos[otherBit % M]; int tmp = dist[0][lowbitPos + 1] + dist[lowbitPos + 1][otherBitPos + 1] + dist[otherBitPos + 1][0] + f[mask ^ otherBit ^ lowbit]; if (tmp < f[mask]) { f[mask] = tmp; r[mask] = lowbit | otherBit; } } } System.out.println(f[(1 << n) - 1]); int mask = (1 << n) - 1; while(mask > 0) { if ((r[mask] ^ (r[mask] & -r[mask])) == 0) { System.out.print("0 " + (bitPos[r[mask] % M] + 1) + " "); } else { int bit1 = r[mask] & -r[mask]; int bit2 = r[mask] ^ bit1; System.out.print("0 " + (bitPos[bit1 % M] + 1) + " " + (bitPos[bit2 % M] + 1) + " "); } mask ^= r[mask]; } System.out.println("0"); cout.close(); } static class Pair<U extends Comparable<U>, V extends Comparable<V>> implements Comparable<Pair<U, V>> { final U _1; final V _2; private Pair(U key, V val) { this._1 = key; this._2 = val; } public static <U extends Comparable<U>, V extends Comparable<V>> Pair<U, V> instanceOf(U _1, V _2) { return new Pair<U, V>(_1, _2); } @Override public String toString() { return _1 + " " + _2; } @Override public int hashCode() { int res = 17; res = res * 31 + _1.hashCode(); res = res * 31 + _2.hashCode(); return res; } @Override public int compareTo(Pair<U, V> that) { int res = this._1.compareTo(that._1); if (res < 0 || res > 0) return res; else return this._2.compareTo(that._2); } @Override public boolean equals(Object obj) { if (this == obj) return true; if (!(obj instanceof Pair)) return false; Pair<?, ?> that = (Pair<?, ?>) obj; return _1.equals(that._1) && _2.equals(that._2); } } /** Class for buffered reading int and double values */ static class Reader { static BufferedReader reader; static StringTokenizer tokenizer; /** call this method to initialize reader for InputStream */ static void init(InputStream input) { reader = new BufferedReader(new InputStreamReader(input)); tokenizer = new StringTokenizer(""); } /** get next word */ static String next() throws IOException { while (!tokenizer.hasMoreTokens()) { // TODO add check for eof if necessary tokenizer = new StringTokenizer(reader.readLine()); } return tokenizer.nextToken(); } static int nextInt() throws IOException { return Integer.parseInt(next()); } static double nextDouble() throws IOException { return Double.parseDouble(next()); } } static class ArrayUtil { static void swap(int[] a, int i, int j) { int tmp = a[i]; a[i] = a[j]; a[j] = tmp; } static void swap(long[] a, int i, int j) { long tmp = a[i]; a[i] = a[j]; a[j] = tmp; } static void swap(double[] a, int i, int j) { double tmp = a[i]; a[i] = a[j]; a[j] = tmp; } static void swap(char[] a, int i, int j) { char tmp = a[i]; a[i] = a[j]; a[j] = tmp; } static void swap(boolean[] a, int i, int j) { boolean tmp = a[i]; a[i] = a[j]; a[j] = tmp; } static void reverse(int[] a, int i, int j) { for (; i < j; i++, j--) swap(a, i, j); } static void reverse(long[] a, int i, int j) { for (; i < j; i++, j--) swap(a, i, j); } static void reverse(double[] a, int i, int j) { for (; i < j; i++, j--) swap(a, i, j); } static void reverse(char[] a, int i, int j) { for (; i < j; i++, j--) swap(a, i, j); } static void reverse(boolean[] a, int i, int j) { for (; i < j; i++, j--) swap(a, i, j); } static long sum(int[] a) { int sum = 0; for (int i : a) sum += i; return sum; } static long sum(long[] a) { long sum = 0; for (long i : a) sum += i; return sum; } static double sum(double[] a) { double sum = 0; for (double i : a) sum += i; return sum; } static int max(int[] a) { int max = Integer.MIN_VALUE; for (int i : a) if (i > max) max = i; return max; } static int min(int[] a) { int min = Integer.MAX_VALUE; for (int i : a) if (i < min) min = i; return min; } static long max(long[] a) { long max = Long.MIN_VALUE; for (long i : a) if (i > max) max = i; return max; } static long min(long[] a) { long min = Long.MAX_VALUE; for (long i : a) if (i < min) min = i; return min; } } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import java.lang.Math.*; public class Main { static Scanner in = new Scanner(System.in); static Coor[] p; static Coor ori; static int n; static int dp[]; static Coor pre[]; public static void main(String[] args) { ori = new Coor(in.nextInt(),in.nextInt()); n = in.nextInt(); p = new Coor[n]; dp = new int[1<<n]; pre = new Coor[1<<n]; for (int i = 0;i < n;i++) { p[i] = new Coor(in.nextInt(),in.nextInt()); } Arrays.fill(dp,-1); dp[0] = 0; System.out.println( getdp((1<<n)-1)); //System.out.printf("%d",0); System.out.printf("%d",0); trace((1<<n)-1); System.out.println(); } static void trace(int mask) { if (mask == 0) return; if (pre[mask].y == -1) { System.out.printf(" %d %d",pre[mask].x+1,0); trace( mask - ( 1<< pre[mask].x ) ); } else { System.out.printf(" %d %d %d",pre[mask].x+1,pre[mask].y+1,0); trace( mask - ( 1<< pre[mask].x ) - (1<<pre[mask].y)); } } static int getdp(int mask) { if (dp[mask] != -1) return dp[mask]; int fr = 0; for (int i = 0;i < n;i++) if ( (mask & (1 << i)) != 0 ) { fr = i; break; } dp[mask] = getdp( mask - (1 << fr) ) + 2 * p[fr].dist(ori); pre[mask] = new Coor(fr,-1); for (int i = fr+1;i < n;i++) { int to = i; if ( (mask & (1 << i)) != 0) { int tmp = getdp( mask - (1<<fr) - (1<<i) ) + p[fr].dist(ori) + p[to].dist(ori) + p[fr].dist(p[to]); if (tmp < dp[mask]) { dp[mask] = tmp; pre[mask].y = i; } } } return dp[mask]; } } class Coor { int x,y; Coor(int _x,int _y) { x = _x;y = _y; } int dist(Coor o) { return ( (x-o.x) * (x-o.x) + (y-o.y) * (y-o.y) ); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Bag implements Runnable { private void solve() throws IOException { int xs = nextInt(); int ys = nextInt(); int n = nextInt(); int[] x = new int[n]; int[] y = new int[n]; for (int i = 0; i < n; ++i) { x[i] = nextInt(); y[i] = nextInt(); } int[][] pair = new int[n][n]; for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) pair[i][j] = (x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys) + (x[j] - xs) * (x[j] - xs) + (y[j] - ys) * (y[j] - ys) + (x[j] - x[i]) * (x[j] - x[i]) + (y[j] - y[i]) * (y[j] - y[i]); int[] single = new int[n]; for (int i = 0; i < n; ++i) { single[i] = 2 * ((x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys)); } int[] best = new int[1 << n]; int[] prev = new int[1 << n]; for (int set = 1; set < (1 << n); ++set) { int i; for (i = 0; i < n; ++i) if ((set & (1 << i)) != 0) break; best[set] = best[set ^ (1 << i)] + single[i]; prev[set] = i + 1; for (int j = i + 1; j < n; ++j) if ((set & (1 << j)) != 0) { int cur = best[set ^ (1 << i) ^ (1 << j)] + pair[i][j]; if (cur < best[set]) { best[set] = cur; prev[set] = (i + 1) * 100 + (j + 1); } } } writer.println(best[(1 << n) - 1]); int now = (1 << n) - 1; writer.print("0"); while (now > 0) { int what = prev[now]; int wa = what % 100 - 1; int wb = what / 100 - 1; if (wa >= 0) { writer.print(" "); writer.print(wa + 1); now ^= 1 << wa; } if (wb >= 0) { writer.print(" "); writer.print(wb + 1); now ^= 1 << wb; } writer.print(" "); writer.print("0"); } writer.println(); } public static void main(String[] args) { new Bag().run(); } BufferedReader reader; StringTokenizer tokenizer; PrintWriter writer; public void run() { try { reader = new BufferedReader(new InputStreamReader(System.in)); tokenizer = null; writer = new PrintWriter(System.out); solve(); reader.close(); writer.close(); } catch (Exception e) { e.printStackTrace(); System.exit(1); } } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } String nextToken() throws IOException { while (tokenizer == null || !tokenizer.hasMoreTokens()) { tokenizer = new StringTokenizer(reader.readLine()); } return tokenizer.nextToken(); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.Arrays; import java.util.StringTokenizer; /** * CodeForces 8C - Looking for Order * Created by Darren on 14-10-1. */ public class Main { Reader in = new Reader(System.in); PrintWriter out = new PrintWriter(System.out); public static void main(String[] args) throws IOException { new Main().run(); } int n; int[] x, y; int[][] time; int status; int[] dp; int[] pre; void run() throws IOException { int xs = in.nextInt(), ys = in.nextInt(); n = in.nextInt(); x = new int[n+1]; y = new int[n+1]; for (int i = 0; i < n; i++) { x[i] = in.nextInt(); y[i] = in.nextInt(); } x[n] = xs; y[n] = ys; computeTime(); status = (1<<n); dp = new int[1<<n]; pre = new int[1<<n]; Arrays.fill(dp, -1); dp[0] = 0; for (int i = 0; i < status; i++) { if (dp[i] == -1) continue; for (int j = 0; j < n; j++) { if (((1<<j) & i) == 0) { int t1 = ((1<<j) | i), temp1 = dp[i] + 2 * time[n][j]; if (dp[t1] == -1 || dp[t1] > temp1) { dp[t1] = temp1; pre[t1] = i; } for (int k = 0; k < n; k++) { if (((1<<k) & t1) == 0) { int t2 = ((1<<k) | t1), temp2 = dp[i] + time[n][j] + time[j][k] + time[k][n]; if (dp[t2] == -1 || dp[t2] > temp2) { dp[t2] = temp2; pre[t2] = i; } } } break; } } } int cur = (1 << n) - 1; out.println(dp[cur]); out.print(0); while (cur > 0) { int last = pre[cur], diff = cur ^ last; int obj1 = -1, obj2 = -1; for (int i = 0; i < n; i++) { if (((1<<i) & diff) > 0) { obj2 = obj1; obj1 = i; } } if (obj2 >= 0) out.printf(" %d %d %d", obj1+1, obj2+1, 0); else out.printf(" %d %d", obj1+1, 0); cur = last; } out.flush(); } void computeTime() { time = new int[n+1][n+1]; for (int i = 0; i <= n; i++) { for (int j = i+1; j <= n; j++) time[i][j] = time[j][i] = (x[i]- x[j])*(x[i]- x[j]) + (y[i]- y[j])*(y[i]- y[j]); } } static class Reader { BufferedReader reader; StringTokenizer tokenizer; public Reader(InputStream input) { reader = new BufferedReader(new InputStreamReader(input)); tokenizer = new StringTokenizer(""); } /** get next word */ String nextToken() throws IOException { while ( ! tokenizer.hasMoreTokens() ) { //TODO add check for eof if necessary tokenizer = new StringTokenizer( reader.readLine() ); } return tokenizer.nextToken(); } String readLine() throws IOException { return reader.readLine(); } int nextInt() throws IOException { return Integer.parseInt( nextToken() ); } long nextLong() throws IOException { return Long.parseLong( nextToken() ); } double nextDouble() throws IOException { return Double.parseDouble( nextToken() ); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; public class AMain { static int n; static int[] best; static int[][] dist; static int[] home; static LinkedList<Integer> ret; public static void main(String[] args) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(br.readLine()); State curr = new State(Integer.parseInt(st.nextToken()), Integer.parseInt(st.nextToken())); n = Integer.parseInt(br.readLine()); State[] list = new State[n]; for(int i = 0; i < n; i++) { st = new StringTokenizer(br.readLine()); list[i] = new State(Integer.parseInt(st.nextToken()), Integer.parseInt(st.nextToken())); } dist = new int[n][n]; home = new int[n]; for(int i = 0; i < n; i++) { home[i] = dist(curr, list[i]); } for(int i = 0; i < n; i++) { dist[i][i] = 2 * home[i]; for(int j = i+1; j < n; j++) { dist[i][j] = dist(list[i], list[j]) + home[i] + home[j]; } } best = new int[1 << (n)]; Arrays.fill(best, -1); best[0] = 0; System.out.println(solve(-1 + (1<<n))); ret = new LinkedList<Integer>(); resolve(-1 + (1<<n)); for(int x: ret) System.out.print(x + " "); } public static int dist(State a, State b) { int x = a.x-b.x; int y = a.y-b.y; return x*x+y*y; } public static void resolve(int curr) { ret.addLast(0); for(int i = 0; i < n; i++) { if((curr & (1<<i)) == 0) continue; for(int j = i+1; j < n; j++) { if((curr & (1 << j)) == 0) { continue; } if(dist[i][j] + solve(curr ^ (1<<i) ^ (1 << j)) == best[curr]) { ret.addLast(i+1); ret.addLast(j+1); resolve(curr - (1<<i) - (1<<j)); return; } } if(best[curr] == dist[i][i] + solve(curr ^ (1<<i))) { ret.addLast(i+1); resolve(curr - (1<<i)); return; } } } public static int solve(int curr) { if(best[curr] != -1) return best[curr]; int ret = Integer.MAX_VALUE; for(int i = 0; i < n; i++) { if((curr & (1<<i)) == 0) continue; for(int j = i+1; j < n; j++) { if((curr & (1 << j)) == 0) { continue; } ret = Math.min(ret, dist[i][j] + solve(curr ^ (1<<i) ^ (1 << j))); } ret = Math.min(ret, dist[i][i] + solve(curr ^ (1<<i))); break; } best[curr] = ret; return ret; } static class State { public int x,y; public State(int a, int b) { x=a; y=b; } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; public class C8 { static int[] mem; static int[] bag; static int[][] items; static int[] close; static PrintWriter pw; static int n; public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); pw = new PrintWriter(System.out); bag = new int[2]; bag[0] = sc.nextInt(); bag[1] = sc.nextInt(); n = sc.nextInt(); items = new int[n][2]; for(int i = 0;i<n;i++) { items[i][0] = sc.nextInt(); items[i][1] = sc.nextInt(); } //System.out.println((items[0][1]-bag[1])*(items[0][1]-bag[1])); mem = new int[1<<n]; Arrays.fill(mem, -1); pw.println(dp(0)); trace(0); pw.print(0); pw.flush(); } static int dp(int mask){ if(mask==(1<<n)-1) return 0; if(mem[mask]!=-1) return mem[mask]; int ans = (int)1e9; for(int i = 0;i<n;i++) if((1<<i&mask)==0) { ans = getDisBag(i)*2+dp(mask|1<<i); for(int j = i+1;j<n;j++) if((1<<j&mask)==0) ans = Math.min(ans, getDisBag(i)+getDis(i,j)+getDisBag(j)+dp(mask|1<<i|1<<j)); break; } return mem[mask] = ans; } static int getDis(int i, int j){ return (items[i][0]-items[j][0])*(items[i][0]-items[j][0])+(items[i][1]-items[j][1])*(items[i][1]-items[j][1]); } static int getDisBag(int i){ return (items[i][0]-bag[0])*(items[i][0]-bag[0])+(items[i][1]-bag[1])*(items[i][1]-bag[1]); } static int getClosest(int i, int mask){ int ret = -1; for(int j = 0;j<n;j++) if(i!=j&&(mask&1<<j)==0) if(ret==-1||getDis(i, j)<getDis(i, ret)) ret = j; return ret; } static void trace(int mask){ if(mask==(1<<n)-1) return; int ans = (int)1e9; for(int i = 0;i<n;i++) if((1<<i&mask)==0) { ans = getDisBag(i)*2+dp(mask|1<<i); if(mem[mask]==ans) { pw.print(0+" "+(i+1)+" "); trace(mask|1<<i); return; } for(int j = i+1;j<n;j++) if((1<<j&mask)==0) if(mem[mask] == getDisBag(i)+getDis(i,j)+getDisBag(j)+dp(mask|1<<i|1<<j)) { pw.print(0+" "+(i+1)+" "+(j+1)+" "); trace(mask|1<<i|1<<j); return; } } } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s){ br = new BufferedReader(new InputStreamReader(s));} public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public int nextInt() throws IOException {return Integer.parseInt(next());} public long nextLong() throws IOException {return Long.parseLong(next());} public String nextLine() throws IOException {return br.readLine();} public double nextDouble() throws IOException { String x = next(); StringBuilder sb = new StringBuilder("0"); double res = 0, f = 1; boolean dec = false, neg = false; int start = 0; if(x.charAt(0) == '-') { neg = true; start++; } for(int i = start; i < x.length(); i++) if(x.charAt(i) == '.') { res = Long.parseLong(sb.toString()); sb = new StringBuilder("0"); dec = true; } else { sb.append(x.charAt(i)); if(dec) f *= 10; } res += Long.parseLong(sb.toString()) / f; return res * (neg?-1:1); } public boolean ready() throws IOException {return br.ready();} } }
np
8_C. Looking for Order
CODEFORCES
import java.io.IOException; import java.io.OutputStreamWriter; import java.util.Arrays; import java.io.BufferedWriter; import java.util.InputMismatchException; import java.util.Comparator; import java.io.OutputStream; import java.io.PrintWriter; import java.util.NoSuchElementException; import java.io.Writer; import java.math.BigInteger; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * @author Nguyen Trung Hieu - [email protected] */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); OutputWriter out = new OutputWriter(outputStream); TaskC solver = new TaskC(); solver.solve(1, in, out); out.close(); } } class TaskC { public void solve(int testNumber, InputReader in, OutputWriter out) { int xs = in.readInt(); int ys = in.readInt(); int n = in.readInt(); int[] x = new int[n]; int[] y = new int[n]; IOUtils.readIntArrays(in, x, y); int[] res = new int[1 << n]; int[] last = new int[1 << n]; Arrays.fill(res, Integer.MAX_VALUE); int[] ds = new int[n]; for (int i = 0; i < n; i++) { ds[i] = (x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys); } int[][] d = new int[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) d[i][j] = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); } res[0] = 0; for (int i = 1; i < (1 << n); i++) { for (int j = 0; j < n; j++) { if (((i >> j) & 1) != 0) { if (res[i - (1 << j)] + 2 * ds[j] < res[i]) { res[i] = res[i - (1 << j)] + 2 * ds[j]; last[i] = i - (1 << j); } for (int k = j + 1; k < n; k++) { if (((i >> k) & 1) != 0) { if (res[i - (1 << j) - (1 << k)] + ds[j] + ds[k] + d[j][k] < res[i]) { res[i] = res[i - (1 << j) - (1 << k)] + ds[j] + ds[k] + d[j][k]; last[i] = i - (1 << j) - (1 << k); } } } break; } } } int cur = (1 << n) - 1; out.printLine(res[cur]); while (cur != 0) { out.print("0 "); int dif = cur - last[cur]; for (int i = 0; i < n && dif != 0; i++) { if (((dif >> i) & 1) != 0) { out.print((i + 1) + " "); dif -= (1 << i); } } cur = last[cur]; } out.printLine("0"); } } class InputReader { private InputStream stream; private byte[] buf = new byte[1024]; private int curChar; private int numChars; private SpaceCharFilter filter; public InputReader(InputStream stream) { this.stream = stream; } public int read() { if (numChars == -1) throw new InputMismatchException(); if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) return -1; } return buf[curChar++]; } public int readInt() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public boolean isSpaceChar(int c) { if (filter != null) return filter.isSpaceChar(c); return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } public interface SpaceCharFilter { public boolean isSpaceChar(int ch); } } class OutputWriter { private final PrintWriter writer; public OutputWriter(OutputStream outputStream) { writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream))); } public OutputWriter(Writer writer) { this.writer = new PrintWriter(writer); } public void print(Object...objects) { for (int i = 0; i < objects.length; i++) { if (i != 0) writer.print(' '); writer.print(objects[i]); } } public void printLine(Object...objects) { print(objects); writer.println(); } public void close() { writer.close(); } } class IOUtils { public static void readIntArrays(InputReader in, int[]... arrays) { for (int i = 0; i < arrays[0].length; i++) { for (int j = 0; j < arrays.length; j++) arrays[j][i] = in.readInt(); } } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import static java.lang.System.out; public final class LookingForOrder { private static Map<Integer, Integer> es = new HashMap<Integer, Integer>(); private static void init() { for (int i = 0; i <= 24; i++) es.put(1 << i, i); } private static int x, y; private static int[] xs, ys; private static int sqr(int i) { return i * i; } private static int dist(int i, int j) { return sqr(x - xs[i]) + sqr(y - ys[i]) + sqr(xs[i] - xs[j]) + sqr(ys[i] - ys[j]) + sqr(x - xs[j]) + sqr(y - ys[j]); } private static int n; private static int[] tb, prevs; private static int recur(int j) { if (j == 0 || es.get(j) != null || tb[j] != 0) return tb[j]; int bl = j & -j; int b = j ^ bl; tb[j] = recur(bl) + recur(b); prevs[j] = bl; for (int i = es.get(bl) + 1; i <25; i++) { if (((1 << i) & b) == 0) continue; int k = bl | 1 << i; int v = dist(es.get(bl), es.get(1 << i)) + recur(j ^ k); if (v >= tb[j]) continue; tb[j] = v; prevs[j] = k; } return tb[j]; } public static void main(String[] args) { init(); Scanner s = new Scanner(System.in); x = s.nextInt(); y = s.nextInt(); n = s.nextInt(); xs = new int[n]; ys = new int[n]; tb = new int[1 << n]; prevs = new int[1 << n]; for (int i = 0; i < n; i++) { xs[i] = s.nextInt(); ys[i] = s.nextInt(); tb[1 << i] = sqr(x - xs[i]) + sqr(y - ys[i]) << 1; } int all = (1 << n) - 1; out.println(recur(all)); StringBuilder sb = new StringBuilder(); int p = prevs[all]; int c = all; while(p != 0 && p != c) { if ((p ^ (p & -p)) == 0) sb.append("0 " + (es.get(p & -p) + 1) + " "); else sb.append("0 " + (es.get(p & -p) + 1) + " " + (es.get(p ^ (p & -p)) + 1) + " "); c = c ^ p; p = prevs[c]; } if ((c ^ (c & -c)) == 0) sb.append("0 " + (es.get(c & -c) + 1) + " 0"); else sb.append("0 " + (es.get(c & -c) + 1) + " " + (es.get(c ^ (c & -c)) + 1) + " 0"); out.println(sb); } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.Arrays; /** * Created by James on 1/29/2015. */ public class Driver { private static int [][] distances, parents; private static int [] distance, parent; private static String [][] longNames; private static String [] shortNames, answers; private static int N; public static void main(String [] args) throws IOException { BufferedReader scanner = new BufferedReader(new InputStreamReader(System.in)); String [] pieces = scanner.readLine().split("\\s+"); //totally had to steal the vast majority of this from http://codeforces.com/contest/8/submission/9745593 Point origin = new Point(Integer.parseInt(pieces[0]), Integer.parseInt(pieces[1])); N = Integer.parseInt(scanner.readLine()); Point [] points = new Point[N + 1]; distances = new int[N + 1][N + 1]; parents = new int[N + 1][N + 1]; longNames = new String[N][N]; shortNames = new String[N]; for (int i = 0; i < N; ++i) { pieces = scanner.readLine().split("\\s+"); points[i] = new Point(Integer.parseInt(pieces[0]), Integer.parseInt(pieces[1])); } points[N] = origin; for (int i = 0; i <= N; ++i) { if (i < N) { shortNames[i] = (i + 1) + " "; } for (int j = 0; j <= N; ++j) { if (i < N && j < N) { longNames[i][j] = (i + 1) + " " + (j + 1) + " "; } distances[i][j] = 2 * points[i].distance(points[j]); parents[i][j] = points[i].distance(points[N]) + points[i].distance(points[j]) + points[j].distance(points[N]); } } distance = new int[1 << N]; parent = new int[1 << N]; answers = new String[1 << N]; Arrays.fill(distance, -1); distance[0] = 0; int result = rec((1 << N) - 1); StringBuilder answer = new StringBuilder(); for (int i = distance.length - 1; parent[i] != i; i = parent[i]) { answer.append("0 "); answer.append(answers[i]); } answer.append("0"); System.out.println(result); System.out.println(answer.toString()); } private static int rec(int mask) { if (distance[mask] != -1) { return distance[mask]; } int min = 0; while (((1 << min) & mask) == 0) { min++; } int newMask = mask & (~(1 << min)); distance[mask] = rec(newMask) + distances[min][N]; parent[mask] = newMask; answers[mask] = shortNames[min]; for (int i = min + 1; i < N; i++) { if (((1 << i) & mask) > 0) { newMask = mask & (~(1 << i)) & (~(1 << min)); int temp = rec(newMask) + parents[i][min]; if (temp< distance[mask]) { distance[mask] = temp; parent[mask] = newMask; answers[mask] = longNames[min][i]; } } } return distance[mask]; } private static class Point { int x, y; public Point(int x, int y) { this.x = x; this.y = y; } public int distance(Point p) { return (int)(Math.pow(this.x - p.x, 2) + Math.pow(this.y - p.y, 2)); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.*; import java.util.*; import static java.lang.Math.*; public class Solution implements Runnable { BufferedReader in; PrintWriter out; StringTokenizer st; int[] x; int[] y; int n; int X, Y; int[] d; int[][] dist; int sqr(int a) { return a * a; } int dist(int X, int Y, int i) { return sqr(X - x[i]) + sqr(Y - y[i]); } int[] dp; byte[][] pred; int rec(int mask) { if (dp[mask] == -1) { int res = 1 << 29; boolean ok = false; for (int i = 0; i < n; ++i) if ((mask & (1 << i)) > 0) { ok = true; int mm = mask & ~(1 << i); for (int j = i; j < n; j++) if ((mask & (1 << j)) > 0) { int nmask = mm & ~(1 << j); int a = rec(nmask) + d[i] + d[j] + dist[i][j]; if (a < res) { res = a; pred[0][mask] = (byte) (i); pred[1][mask] = (byte) (j); } } break; } if (!ok) res = 0; dp[mask] = res; } return dp[mask]; } void solve() throws IOException { X = ni(); Y = ni(); n = ni(); // if (n > 5) // return; x = new int[n]; y = new int[n]; for (int i = 0; i < n; i++) { x[i] = ni(); y[i] = ni(); } d = new int[n]; dist = new int[n][n]; for (int i = 0; i < n; ++i) d[i] = dist(X, Y, i); for (int i = 0; i < n; ++i) for (int j = 0; j < n; j++) { dist[i][j] = dist(x[i], y[i], j); } pred = new byte[2][1 << n]; dp = new int[1 << n]; Arrays.fill(dp, -1); out.println(rec((1 << n) - 1)); int a = (1 << n) - 1; while (a > 0) { if (pred[0][a] != pred[1][a]) out.print(0 + " " + (pred[0][a] + 1) + " " + (pred[1][a] + 1) + " "); else out.print(0 + " " + (pred[0][a] + 1) + " "); int na = a & ~(1 << pred[0][a]); na &= ~(1 << pred[1][a]); a = na; } out.println(0); } public Solution() throws IOException { Locale.setDefault(Locale.US); in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); solve(); in.close(); out.close(); } String ns() throws IOException { while (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(in.readLine()); } return st.nextToken(); } int ni() throws IOException { return Integer.valueOf(ns()); } long nl() throws IOException { return Long.valueOf(ns()); } double nd() throws IOException { return Double.valueOf(ns()); } public static void main(String[] args) throws IOException, InterruptedException { Thread th = new Thread(null, new Solution(), "", 536870912); th.start(); th.join(); } @Override public void run() { try { Locale.setDefault(Locale.US); in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); solve(); in.close(); out.close(); } catch (Exception e) { // TODO: handle exception } } }
np
8_C. Looking for Order
CODEFORCES
/** * DA-IICT * Author : PARTH PATEL */ import java.io.*; import java.math.*; import java.util.*; import static java.util.Arrays.fill; import static java.lang.Math.*; import static java.util.Arrays.sort; import static java.util.Collections.sort; public class C8 { public static long mod = 1000000007; public static long INF = (1L << 60); static FastScanner2 in = new FastScanner2(); static OutputWriter out = new OutputWriter(System.out); static int n; static int x,y; static int[] xx; static int[] yy; static int[] dist; static int[][] g; static int[] dp; public static int square(int x) { return abs(x*x); } static class Pair { int x,y; Pair(int x,int y) { this.x=x; this.y=y; } } public static void main(String[] args) { x=in.nextInt(); y=in.nextInt(); n=in.nextInt(); xx=new int[n]; yy=new int[n]; dp=new int[1<<n]; for(int i=0;i<n;i++) { xx[i]=in.nextInt(); yy[i]=in.nextInt(); } dist=new int[n]; g=new int[n][n]; for(int i=0;i<n;i++) { dist[i]=square(abs(xx[i]-x))+square(abs(yy[i]-y)); } for(int i=0;i<n;i++) { for(int j=0;j<n;j++) { g[i][j]=square(abs(xx[i]-xx[j]))+square(yy[i]-yy[j]); //System.out.println("i "+i+" j "+j+" "+g[i][j]); } } Arrays.fill(dp, Integer.MAX_VALUE/2); dp[0]=0; for(int i=0;i<(1<<n);i++) { //we have to find dp[i] for(int j=0;j<n;j++) { if((i&(1<<j))>0) //not visited j continue; dp[i|(1<<j)]=min(dp[i|(1<<j)], dp[i]+2*dist[j]); for(int k=j+1;k<n;k++) { if((i&(1<<k))>0) continue; dp[i|(1<<j)|(1<<k)]=min(dp[i|(1<<j)|(1<<k)], dp[i]+dist[j]+dist[k]+g[j][k]); } break; } } out.println(dp[(1<<n)-1]); Stack<Integer> stack=new Stack<>(); stack.push(0); int i=(1<<n)-1; while(i>0) { boolean tocontinue=false; for(int a=0;a<n;a++) { if((i&(1<<a))==0) continue; if(dp[i]==(dp[i^(1<<a)]+2*dist[a])) { stack.push(a+1); stack.push(0); i-=(1<<a); tocontinue=true; } if(tocontinue) continue; for(int b=a+1;b<n;b++) { if((i & (1<<b)) == 0) continue; if(dp[i]==(dp[i^(1<<a)^(1<<b)]+dist[a]+dist[b]+g[a][b])) { i-=(1<<a); i-=(1<<b); stack.push(a+1); stack.push(b+1); stack.push(0); tocontinue=true; } if(tocontinue) break; } if(tocontinue) break; } } for(int ii : stack) out.print(ii+" "); out.close(); } public static long pow(long x, long n, long mod) { long res = 1; for (long p = x; n > 0; n >>= 1, p = (p * p) % mod) { if ((n & 1) != 0) { res = (res * p % mod); } } return res; } public static long gcd(long n1, long n2) { long r; while (n2 != 0) { r = n1 % n2; n1 = n2; n2 = r; } return n1; } public static long lcm(long n1, long n2) { long answer = (n1 * n2) / (gcd(n1, n2)); return answer; } static class FastScanner2 { private byte[] buf = new byte[1024]; private int curChar; private int snumChars; public int read() { if (snumChars == -1) throw new InputMismatchException(); if (curChar >= snumChars) { curChar = 0; try { snumChars = System.in.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (snumChars <= 0) return -1; } return buf[curChar++]; } public String nextLine() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuilder res = new StringBuilder(); do { res.appendCodePoint(c); c = read(); } while (!isEndOfLine(c)); return res.toString(); } public String nextString() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuilder res = new StringBuilder(); do { res.appendCodePoint(c); c = read(); } while (!isSpaceChar(c)); return res.toString(); } public long nextLong() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } long res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public int nextInt() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public int[] nextIntArray(int n) { int[] arr = new int[n]; for (int i = 0; i < n; i++) { arr[i] = nextInt(); } return arr; } public long[] nextLongArray(int n) { long[] arr = new long[n]; for (int i = 0; i < n; i++) { arr[i] = nextLong(); } return arr; } private boolean isSpaceChar(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } private boolean isEndOfLine(int c) { return c == '\n' || c == '\r' || c == -1; } } static class InputReader { public BufferedReader reader; public StringTokenizer tokenizer; public InputReader(InputStream inputstream) { reader = new BufferedReader(new InputStreamReader(inputstream)); tokenizer = null; } public String nextLine() { String fullLine = null; while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { fullLine = reader.readLine(); } catch (IOException e) { throw new RuntimeException(e); } return fullLine; } return fullLine; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public long nextLong() { return Long.parseLong(next()); } public int[] nextIntArray(int n) { int a[] = new int[n]; for (int i = 0; i < n; i++) { a[i] = nextInt(); } return a; } public long[] nextLongArray(int n) { long a[] = new long[n]; for (int i = 0; i < n; i++) { a[i] = nextLong(); } return a; } public int nextInt() { return Integer.parseInt(next()); } } static class OutputWriter { private final PrintWriter writer; public OutputWriter(OutputStream outputStream) { writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream))); } public OutputWriter(Writer writer) { this.writer = new PrintWriter(writer); } public void print(Object... objects) { for (int i = 0; i < objects.length; i++) { if (i != 0) writer.print(' '); writer.print(objects[i]); } } public void println(Object... objects) { print(objects); writer.println(); } public void close() { writer.close(); } public void flush() { writer.flush(); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; public class LookingForOrder { static int[] x, y; static int[] dp; static int n; static int dist(int i, int j) { return ((x[i] - x[j]) * (x[i] - x[j])) + ((y[i] - y[j]) * (y[i] - y[j])); } static int solve(int mask) { if (mask == (1 << n) - 1) return 0; if (dp[mask] != -1) return dp[mask]; int ans = Integer.MAX_VALUE; int j = 0; for (int i = 1; i < n; i++) if ((mask & (1 << i)) == 0) { if (j == 0) { ans = Math .min(ans, 2 * dist(0, i) + solve(mask | (1 << i))); j = i; } else ans = Math.min(ans, dist(0, i) + dist(i, j) + dist(j, 0) + solve(mask | (1 << i) | (1 << j))); } return dp[mask] = ans; } static void prnt(int mask) { if (mask == (1 << n) - 1) return; int j = 0; for (int i = 1; i < n; i++) if ((mask & (1 << i)) == 0) { if (j == 0) { j = i; if (dp[mask] == 2 * dist(0, i) + solve(mask | (1 << i))) { out.print(" " + i + " 0"); prnt(mask | (1 << i)); return; } } else if (dp[mask] == dist(0, i) + dist(i, j) + dist(j, 0) + solve(mask | (1 << i) | (1 << j))) { out.print(" " + i + " " + j + " 0"); prnt(mask | (1 << i) | (1 << j)); return; } } } public static void main(String[] args) throws IOException { sc = new StringTokenizer(br.readLine()); int a = nxtInt(); int b = nxtInt(); n = nxtInt() + 1; x = new int[n]; y = new int[n]; dp = new int[1 << n]; Arrays.fill(dp, -1); x[0] = a; y[0] = b; for (int i = 1; i < n; i++) { x[i] = nxtInt(); y[i] = nxtInt(); } out.println(solve(1 << 0)); out.print(0); prnt(1 << 0); out.println(); br.close(); out.close(); } static BufferedReader br = new BufferedReader(new InputStreamReader( System.in)); static PrintWriter out = new PrintWriter(System.out); static StringTokenizer sc; static String nxtTok() throws IOException { while (!sc.hasMoreTokens()) sc = new StringTokenizer(br.readLine()); return sc.nextToken(); } static int nxtInt() throws IOException { return Integer.parseInt(nxtTok()); } static long nxtLng() throws IOException { return Long.parseLong(nxtTok()); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.Arrays; import java.util.Scanner; public class LookingForOrder { public static void main(String[] args) { Scanner in = new Scanner(System.in); int bx = in.nextInt(); int by = in.nextInt(); in.nextLine(); int n = in.nextInt(); int[][] objects = new int[n][2]; for (int i = 0; i < n; i++) { objects[i][0] = in.nextInt(); objects[i][1] = in.nextInt(); } int[] cs = new int[n]; for (int i = 0; i < n; i++) { cs[i] = 2 * time(objects[i], new int[] { bx, by }); } int[][] cd = new int[n][n]; for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { cd[j][i] = cd[i][j] = time(objects[i], new int[] { bx, by }) + time(objects[j], new int[] { bx, by }) + time(objects[i], objects[j]); } } int maxMask = 1 << n; int[] dp = new int[maxMask]; int[] path = new int[maxMask]; Arrays.fill(dp, -1); dp[0] = 0; for (int g = 1; g < maxMask; g++) { int min = Integer.MAX_VALUE; int minPath = 0; int h = 31; while ((g & (1 << h)) == 0) h--; h++; int l = 0; while ((g & (1 << l)) == 0) l++; if ((g & 1 << l) > 0) { int oneleft = g ^ (1 << l); int t = cs[l] + dp[oneleft]; if (t < min) { min = t; minPath = oneleft; } for (int j = l + 1; j < h; j++) { if ((oneleft & 1 << j) > 0) { int twoleft = oneleft ^ (1 << j); t = cd[l][j] + dp[twoleft]; if (t < min) { min = t; minPath = twoleft; } } } } dp[g] = min; path[g] = minPath; } System.out.println(dp[maxMask - 1]); int previous = maxMask - 1; int pathElt = path[previous]; System.out.print("0 "); while (previous > 0) { int bits = previous - pathElt; int h = 31; while ((bits & (1 << h)) == 0) h--; int l = 0; while ((bits & (1 << l)) == 0) l++; String el = h == l ? "" + (h + 1) : (h + 1) + " " + (l + 1); System.out.print(el + " " + 0 + " "); previous = pathElt; pathElt = path[pathElt]; } System.out.println(); } static int time(int[] a, int[] b) { int x = b[0] - a[0]; int y = b[1] - a[1]; return x * x + y * y; } }
np
8_C. Looking for Order
CODEFORCES
import java.io.OutputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; import java.awt.Point; import java.io.IOException; import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); PrintWriter out = new PrintWriter(outputStream); TaskC solver = new TaskC(); solver.solve(1, in, out); out.close(); } static class TaskC { public void solve(int testNumber, InputReader in, PrintWriter out) { Point bag = new Point(in.ni(), in.ni()); int n = in.ni(); Point[] arr = new Point[n]; for (int i = 0; i < n; ++i) arr[i] = new Point(in.ni(), in.ni()); int[] dist = new int[n]; for (int i = 0; i < n; ++i) { int dx = arr[i].x - bag.x; int dy = arr[i].y - bag.y; dist[i] = dx * dx + dy * dy; } int[][] d = new int[n][n]; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { int dx = arr[i].x - arr[j].x; int dy = arr[i].y - arr[j].y; d[i][j] = dx * dx + dy * dy + dist[i] + dist[j]; } } int lim = (1 << n); int[] dp = new int[lim]; Arrays.fill(dp, Integer.MAX_VALUE); dp[0] = 0; int[] p = new int[lim]; Arrays.fill(p, -1); for (int mask = 0; mask < lim; ++mask) { if (dp[mask] == Integer.MAX_VALUE) continue; int minBit = -1; for (int bit = 0; bit < n; ++bit) { if (checkBit(mask, bit)) continue; if (minBit == -1 || (dist[minBit] > dist[bit])) minBit = bit; } if (minBit == -1) continue; for (int bit = 0; bit < n; ++bit) { if (checkBit(mask, bit)) continue; int newMask = (mask | (1 << minBit) | (1 << bit)); if (dp[newMask] > dp[mask] + d[minBit][bit]) { dp[newMask] = dp[mask] + d[minBit][bit]; p[newMask] = minBit * n + bit; } } } out.println(dp[lim - 1]); int curMask = lim - 1; while (p[curMask] != -1) { out.print("0 "); int first = p[curMask] / n; int second = p[curMask] % n; out.print(first + 1 + " "); curMask ^= (1 << first); if (first != second) { out.print(second + 1 + " "); curMask ^= (1 << second); } } out.println(0); } boolean checkBit(int mask, int bitNumber) { return (mask & (1 << bitNumber)) != 0; } } static class InputReader { BufferedReader br; StringTokenizer st; public InputReader(InputStream inputStream) { br = new BufferedReader(new InputStreamReader(inputStream)); } public String n() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { throw new RuntimeException(); } } return st.nextToken(); } public int ni() { return Integer.parseInt(n()); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.File; import java.io.FileNotFoundException; import java.io.FileReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.HashMap; import java.util.StringTokenizer; public class CF8C { static int n; static int[] mem; static HashMap<Integer, String> map; static int INF = (int) 1e9; static StringBuilder sb; public static void main(String[] args) throws IOException { MyScanner sc = new MyScanner(System.in); String s = sc.nextLine(); n = sc.nextInt(); mem = new int[1 << n]; Arrays.fill(mem, -1); map = new HashMap<>(); map.put(0, s); for (int i = 1; i <= n; i++) { map.put(i, sc.nextLine()); } int val = dp(0); PrintWriter pw = new PrintWriter(System.out); pw.println(val); sb = new StringBuilder(); sb.append("0 "); build(0); pw.println(sb); pw.flush(); } // node == 0 -- > count 0 // state == 0 has 1 // state == 1 has 2 private static int dp(int msk) { if (msk == (1 << n) - 1) return 0; if(mem[msk] != -1) return mem[msk]; boolean foundFirst = false; int val = (int)1e9; int mark = -1; for (int i = 1; i <= n; i++) { if ((msk & 1 << (i - 1)) == 0){ if(!foundFirst){ foundFirst = true; mark = i; val = dist(0, mark)*2 + dp(msk | 1 << (mark - 1)); }else{ val = Math.min(val, dist(0, mark) + dist(mark, i) + dist(i, 0) + dp((msk|1 << (mark - 1))|1 << (i - 1))); } } } return mem[msk] = val; } private static int dist(int node, int i) { String from = map.get(i); String to = map.get(node); String[] fromco = from.split(" "); String[] toco = to.split(" "); int xs = Integer.parseInt(fromco[0]); int ys = Integer.parseInt(fromco[1]); int xf = Integer.parseInt(toco[0]); int yf = Integer.parseInt(toco[1]); return (xs - xf) * (xs - xf) + (ys - yf) * (ys - yf); } private static void build(int msk) { if (msk == (1 << n) - 1) return; boolean foundFirst = false; int ans = dp(msk); int mark = -1; int val = (int)1e9; for (int i = 1; i <= n; i++) { if ((msk & 1 << (i - 1)) == 0){ if(!foundFirst){ foundFirst = true; mark = i; val = dist(0, mark)*2 + dp(msk | 1 << (mark - 1)); if(val == ans){ sb.append(mark + " 0 "); build(msk | 1 << (mark - 1)); return; } }else{ val = dist(0, mark) + dist(mark, i) + dist(i, 0) + dp(msk|1 << (mark - 1)|1 << (i - 1)); if(val == ans){ sb.append(mark + " " + i + " 0 "); build(msk|1 << (mark - 1)|1 << (i - 1)); return; } } } } } static class MyScanner { StringTokenizer st; BufferedReader br; public MyScanner(InputStream s) { br = new BufferedReader(new InputStreamReader(s)); } public MyScanner(String s) throws FileNotFoundException { br = new BufferedReader(new FileReader(new File(s))); } public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } public long nextLong() throws IOException { return Long.parseLong(next()); } public String nextLine() throws IOException { return br.readLine(); } public double nextDouble() throws IOException { String x = next(); StringBuilder sb = new StringBuilder("0"); double res = 0, f = 1; boolean dec = false, neg = false; int start = 0; if (x.charAt(0) == '-') { neg = true; start++; } for (int i = start; i < x.length(); i++) if (x.charAt(i) == '.') { res = Long.parseLong(sb.toString()); sb = new StringBuilder("0"); dec = true; } else { sb.append(x.charAt(i)); if (dec) f *= 10; } res += Long.parseLong(sb.toString()) / f; return res * (neg ? -1 : 1); } public boolean ready() throws IOException { return br.ready(); } } }
np
8_C. Looking for Order
CODEFORCES
import java.io.BufferedReader; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Collections; import java.util.Comparator; import java.util.List; import java.util.StringTokenizer; /** * 9:50 ~ * */ public class Main { public static int n, x, y; public static int[] a,b; public static int dp[], before[]; public static int dx[]; public static int d[][]; public static final int INF = 24 * 201 * 201; public static void main(String[] argv) { FastScanner scan = new FastScanner(System.in); PrintWriter out = new PrintWriter(System.out); x = scan.nextInt(); y = scan.nextInt(); n = scan.nextInt(); a = new int[n+1]; b = new int[n+1]; dx = new int[n+1]; d = new int[n+1][n+1]; for(int i = 0; i < n; ++i){ a[i] = scan.nextInt(); b[i] = scan.nextInt(); } for(int i = 0; i < n; ++i){ dx[i] = dist(i); } for(int i = 0; i < n; ++i){ for(int j = 0; j < n; ++j){ d[i][j] = dist(i,j); } } dp = new int[1 << n]; before = new int[1 << n]; Arrays.fill(dp, INF); dp[0] = 0; for(int state = 0; state < (1<<n); state++){ //if(dp[state] == INF) continue; for(int i = 0; i < n; ++i){ int ii = (1 << i); if((state & ii) > 0){ if(dp[state - ii] == INF) continue; int newdist = dp[state - ii] + dx[i] + dx[i]; if(dp[state] > newdist){ dp[state] = newdist; before[state] = state - ii; } } else continue; for(int j = i + 1; j < n; ++j){ if(i == j) continue; int jj = (1 << j); if((state & jj) > 0){ if(dp[state - ii - jj] == INF) continue; int newdist = dp[state - ii - jj] + dx[i] + d[i][j] + dx[j]; if(dp[state] > newdist){ dp[state] = newdist; before[state] = state - ii - jj; } } } break; } } System.out.println(dp[(1<<n)-1]); int state = (1<<n) - 1; StringBuffer ret = new StringBuffer(); while(state > 0){ int nstate = before[state]; boolean find = false; String made = ""; for(int i = 0; i < n; ++i){ if(((state & (1<<i)) > 0) && ((nstate & (1<<i)) == 0)){ find = true; made = made + " " + (i + 1); } } if(find){ made = made + " 0"; ret.append(made, 0, made.length()); } state = nstate; } out.println("0" + ret.toString()); out.close(); } public static int dist(int to){ return Math.abs(a[to] - x) * Math.abs(a[to] - x) + Math.abs(b[to] - y) * Math.abs(b[to] - y); } public static int dist(int from, int to){ return Math.abs(a[from]-a[to]) * Math.abs(a[from]-a[to]) + Math.abs(b[from]-b[to]) * Math.abs(b[from]-b[to]); } static class FastScanner { BufferedReader br; StringTokenizer st; FastScanner(InputStream is) { try { br = new BufferedReader(new InputStreamReader(is)); } catch (Exception e) { e.printStackTrace(); } } String next() { while (st == null || !st.hasMoreTokens()) { try { st = new StringTokenizer(br.readLine()); } catch (Exception e) { return null; } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.valueOf(next()); } } }
np
8_C. Looking for Order
CODEFORCES
import java.util.Scanner; public class CF_8C { public static void main(String[] args) { // Hooray bitmasks! I'm good at these :) Scanner in = new Scanner(System.in); // Handbag coordinates.. int hb_x = in.nextInt(), hb_y = in.nextInt(); int n = in.nextInt(); int[] ox = new int[n]; int[] oy = new int[n]; // Dynamic programming: Also store a matrix of the time to reach one // object from the other. // This considers the handbag to be object 0 int[][] dt = new int[n][n]; int[] hbd = new int[n]; for (int i = 0; i < n; i++) { ox[i] = in.nextInt(); oy[i] = in.nextInt(); hbd[i] = (ox[i] - hb_x) * (ox[i] - hb_x) + (oy[i] - hb_y) * (oy[i] - hb_y); } // Compute elapsed times... for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { dt[i][j] = (ox[i] - ox[j]) * (ox[i] - ox[j]) + (oy[i] - oy[j]) * (oy[i] - oy[j]); } } // Fill up an array with the amount of time it takes to grab // all objects with the specified bitmask. int[] sofar = new int[1 << n]; int[] masks = new int[1 << n]; sofar[0] = 0; for (int i = 1; i < (1 << n); i++) { sofar[i] = -1; } for (int i = 0; i < (1 << n); i++) { if (sofar[i] != -1) { for (int maskbit = 0; maskbit < n; maskbit++) { // Look for first object in bitmask to grab... if (((1 << maskbit) & i) == 0) { int iffirst = ((1 << maskbit) | i); int fromold = sofar[i] + 2 * hbd[maskbit]; if (sofar[iffirst] == -1 || sofar[iffirst] > fromold) { // A better way to get to position J was found, use it. sofar[iffirst] = fromold; masks[iffirst] = i; } // Find another thing while you're out... for (int otherone = 0; otherone < n; otherone++) { if (((1 << otherone) & iffirst) == 0) { int iffollow = ((1 << otherone) | iffirst); int fromi = sofar[i] + hbd[maskbit] + dt[maskbit][otherone] + hbd[otherone]; // Did we find a better way to get to iffollow state? if (sofar[iffollow] == -1 || sofar[iffollow] > fromi) { sofar[iffollow] = fromi; masks[iffollow] = i; } } } break; } } } } // After all this time, we have an answer. // The minimum time will be the value of sofar at the very end, // which will have the case of if all objects were picked up. // Clever, no? // The logic came from http://www.darrensun.com/codeforces-round-8/ // Wish I could claim it mine, but it is not so. int end_val = (1 << n) - 1; System.out.println(sofar[end_val]); System.out.print(0); while (end_val > 0) { // Which objects were collected in the prvious trip? int diff = end_val ^ masks[end_val]; int obj1 = -1, obj2 = -1; for (int i = 0; i < n; i++) { if (((1 << i) & diff) > 0) { obj2 = obj1; obj1 = i; } } if (obj2 >= 0) { // Two objects were collected this trip, output them both. System.out.print(" " + (obj1 + 1) + " " + (obj2 + 1) + " 0"); } else { // Only one object was collected here. System.out.print(" " + (obj1 + 1) + " 0"); } end_val = masks[end_val]; } in.close(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import java.awt.Polygon; import java.io.BufferedWriter; import java.io.FileNotFoundException; import java.io.FileReader; import java.io.FileWriter; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.math.*; import java.util.Collection; public class Solution { /** * @param args * @throws IOException */ static StringTokenizer st; static BufferedReader reader; public static void main(String[] args) throws IOException { reader = new BufferedReader(new InputStreamReader(System.in)); int xs = NextInt(); int ys = NextInt(); int n = NextInt(); int x[] = new int[n]; int y[] = new int[n]; int single[] = new int[n]; int pair[][] = new int[n][n]; for (int i = 0; i < n; ++i) { x[i] = NextInt(); y[i] = NextInt(); } for (int i = 0; i < n; ++i) single[i] = 2 * dist(xs, ys, x[i], y[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) pair[i][j] = dist(xs, ys, x[i], y[i]) + dist(x[i], y[i], x[j], y[j]) + dist(x[j], y[j], xs, ys); int dp[] = new int[1 << n]; int prev[] = new int[1 << n]; for (int mask = 0; mask < (1 << n); ++mask) { int p = -1; for (int i = 0; i < n; ++i) if (((mask >> i) & 1) != 0) { p = i; break; } if (p == -1) continue; dp[mask] = dp[mask ^ (1 << p)] + single[p]; prev[mask] = p; for (int j = p + 1; j < n; ++j) { if (((mask >> j) & 1) != 0) { int res = pair[p][j] + dp[mask ^ (1 << p) ^ (1 << j)]; if (res < dp[mask]) { dp[mask] = res; prev[mask] = p + 100 * j; } } } } int cur = (1 << n) - 1; System.out.printf("%d\n0 ", dp[cur]); while(cur != 0) { if (prev[cur] < 100) { System.out.printf("%d %d ", prev[cur] + 1, 0); cur ^= (1 << prev[cur]); } else { int i = prev[cur] / 100; int j = prev[cur] % 100; System.out.printf("%d %d %d ", i + 1, j + 1, 0); cur = cur ^ (1 << i) ^ (1 << j); } } } static int dist(int x0, int y0, int x1, int y1) { return (x0 - x1) * (x0 - x1) + (y0 - y1) * (y0 - y1); } static int NextInt() throws NumberFormatException, IOException { return Integer.parseInt(NextToken()); } static String NextToken() throws IOException { while(st == null || !st.hasMoreTokens()) { st = new StringTokenizer(reader.readLine()); } return st.nextToken(); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; import java.io.*; public class Main { static final int MAXN = 24; int[] x = new int[MAXN]; int[] y = new int[MAXN]; int[][] dist = new int[MAXN][MAXN]; int[] single = new int[MAXN]; int sqr(int x) { return x * x; } void run(int nT) { int xs = cin.nextInt(); int ys = cin.nextInt(); int n = cin.nextInt(); for (int i = 0; i < n; ++i) { x[i] = cin.nextInt(); y[i] = cin.nextInt(); } for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { dist[i][j] = sqr(x[i] - xs) + sqr(y[i] - ys) + sqr(x[i] - x[j]) + sqr(y[i] - y[j]) + sqr(x[j] - xs) + sqr(y[j] - ys); } } for (int i = 0; i < n; ++i) { single[i] = (sqr(x[i] - xs) + sqr(y[i] - ys)) * 2; } int[] dp = new int[1 << n]; int[] pre = new int[1 << n]; int tot = 1 << n; for (int s = 1; s < tot; ++s) { int i; for (i = 0; i < n; ++i) { if ((s & (1 << i)) != 0) break; } dp[s] = dp[s^(1<<i)] + single[i]; pre[s] = i + 1; for (int j = i + 1; j < n; ++j) { if ((s & (1 << j)) != 0) { int cur = dp[s^(1 << i) ^(1<<j)] + dist[i][j]; if (cur < dp[s]) { dp[s] = cur; pre[s] = (i + 1) * 100 + (j + 1); } } } } out.println(dp[tot - 1]); int now = tot - 1; out.print("0"); while (now > 0) { int what = pre[now]; int px = what % 100 - 1; int py = what / 100 - 1; if (px >= 0) { out.print(" "); out.print(px + 1); now ^= 1 << px; } if (py >= 0) { out.print(" "); out.print(py + 1); now ^= 1 << py; } out.print(" "); out.print("0"); } out.println(""); } public static void main(String[] argv) { Main solved = new Main(); int T = 1; // T = solved.cin.nextInt(); for (int nT = 1; nT <= T; ++nT) { solved.run(nT); } solved.out.close(); } InputReader cin = new InputReader(System.in); PrintWriter out = new PrintWriter(System.out); } class InputReader { BufferedReader reader; StringTokenizer tokenizer; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream)); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public long nextLong() { return Long.parseLong(next()); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; public class Main { static Scanner cin = new Scanner(System.in); private int xs, ys, n; private int[] x, y; public static void main(String[] args) throws Exception { new Main().run(); } class Item implements Comparable<Item> { int w, h, idx; Item(int w, int h, int idx) { this.w = w; this.h = h; this.idx = idx; } @Override public int compareTo(Item o) { if (this.w == o.w) { return this.h - o.h; } return this.w - o.w; } } private void run() throws Exception { xs = cin.nextInt(); ys = cin.nextInt(); n = cin.nextInt(); x = new int[n + 1]; y = new int[n + 1]; for (int i = 0; i < n; i++) { x[i] = cin.nextInt(); y[i] = cin.nextInt(); } int[] res = new int[1 << n]; Arrays.fill(res, Integer.MAX_VALUE); int[] ds = new int[n]; for (int i = 0; i < n; i++) { ds[i] = (x[i] - xs) * (x[i] - xs) + (y[i] - ys) * (y[i] - ys); } int[][] d = new int[n + 1][n + 1]; int[] tr = new int[1 << n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { d[i][j] = (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]); } } //---------------------- res[0] = 0; for (int i = 1; i < (1 << n); i++) { for (int j = 0; j < n; j++) { if (((i >> j) & 1) != 0) { if (res[i - (1 << j)] + 2 * ds[j] < res[i]) { res[i] = res[i - (1 << j)] + 2 * ds[j]; tr[i] = i - (1 << j); } for (int k = j + 1; k < n; k++) { if (((i >> k) & 1) != 0) { if (res[i - (1 << j) - (1 << k)] + ds[k] + ds[j] + d[k][j] < res[i]) { res[i] = res[i - (1 << j) - (1 << k)] + ds[k] + ds[j] + d[k][j]; tr[i] = i - (1 << j) - (1 << k); } } } break; } } } System.out.println(res[(1 << n) - 1]); int now = (1 << n) - 1; while (now != 0) { System.out.print("0 "); int dif = now - tr[now]; for (int i = 0; i < n && dif != 0; i++) { if (((dif >> i) & 1) != 0) { System.out.print((i + 1) + " "); dif -= (1 << i); } } now=tr[now]; } System.out.print("0"); } }
np
8_C. Looking for Order
CODEFORCES
import java.util.*; public class cf16e { static int n; static double[][] prob; static double[] memo; public static void main(String[] args) { Scanner in = new Scanner(System.in); n = in.nextInt(); prob = new double[n][n]; memo = new double[1<<n]; for(int i=0; i<n; i++) for(int j=0; j<n; j++) prob[i][j] = in.nextDouble(); memo[(1<<n)-1] = 1; for(int k=(1<<n)-1; k>0; k--) { int numWays = Integer.bitCount(k); numWays = (numWays*(numWays-1))/2; for(int first = 0; first < n; first++) { if(!isSet(k,first)) continue; for(int second = first+1; second < n; second++) { if(!isSet(k,second)) continue; memo[reset(k,first)] += prob[second][first]*memo[k]/numWays; memo[reset(k,second)] += prob[first][second]*memo[k]/numWays; } } } for(int i=0; i<n; i++) System.out.printf("%.6f ", memo[set(0,i)]); System.out.println(); } static boolean isSet(int x, int p) { return (x&(1<<p)) != 0; } static int set(int x, int p) { return x|(1<<p); } static int reset(int x, int p) { return x&~(1<<p); } static boolean isDone(int x) { return Integer.bitCount(x)==n-1; } }
np
16_E. Fish
CODEFORCES
/** * Created by IntelliJ IDEA. * User: Taras_Brzezinsky * Date: 8/14/11 * Time: 9:53 PM * To change this template use File | Settings | File Templates. */ import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.FileReader; import java.util.StringTokenizer; import java.io.IOException; import java.util.Arrays; public class Fish extends Thread { public Fish() { this.input = new BufferedReader(new InputStreamReader(System.in)); this.output = new PrintWriter(System.out); this.setPriority(Thread.MAX_PRIORITY); } static int getOnes(int mask) { int result = 0; while (mask != 0) { mask &= mask - 1; ++result; } return result; } private void solve() throws Throwable { int n = nextInt(); double[][] a = new double[n][n]; double[] dp = new double[(1 << n)]; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { a[i][j] = nextDouble(); } } int limit = (1 << n) - 1; //dp[mask] = probability of current subset (mask) to remain in the end dp[limit] = 1.0; for (int mask = limit; mask > 0; --mask) { int cardinality = getOnes(mask); if (cardinality < 2) { continue; } int probability = cardinality * (cardinality - 1) / 2; for (int first = 0; first < n; ++first) { if ((mask & powers[first]) != 0) { for (int second = first + 1; second < n; ++second) { if ((mask & powers[second]) != 0) { dp[mask - powers[first]] += dp[mask] * a[second][first] / probability; dp[mask - powers[second]] += dp[mask] * a[first][second] / probability; } } } } } for (int i = 0; i < n; ++i) { output.printf("%.10f ", dp[powers[i]]); } } public void run() { try { solve(); } catch (Throwable e) { System.err.println(e.getMessage()); e.printStackTrace(); System.exit(666); } finally { output.flush(); output.close(); } } public static void main(String[] args) { new Fish().start(); } private String nextToken() throws IOException { while (tokens == null || !tokens.hasMoreTokens()) { tokens = new StringTokenizer(input.readLine()); } return tokens.nextToken(); } private int nextInt() throws IOException { return Integer.parseInt(nextToken()); } private double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } private long nextLong() throws IOException { return Long.parseLong(nextToken()); } static final int powers[] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144}; private BufferedReader input; private PrintWriter output; private StringTokenizer tokens = null; }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.text.*; import java.math.*; public class Main{ static double EPS=1e-10; static double PI=Math.acos(-1.0); static double p[][]=new double[25][25]; static double f[]=new double[1<<20]; static int n; public static void PR(String s){ System.out.print(s); } public static void PR(double s) { java.text.DecimalFormat d=new java.text.DecimalFormat("#.0000000"); System.out.print(d.format(s)); } public static void DP() { int i,j,k,cnt; for(i=0;i<(1<<n);i++) f[i]=0; f[(1<<n)-1]=1; for(k=(1<<n)-1;k>=0;k--) { cnt=0; for(i=0;i<n;i++) if((k&(1<<i))!=0) cnt++; for(i=0;i<n;i++) if((k&(1<<i))!=0) { for(j=0;j<n;j++) if(i!=j&&(k&(1<<j))!=0) { f[k^(1<<j)]+=f[k]*p[i][j]/((cnt-1)*cnt/2); } } } } public static void main(String[] args){ Scanner S=new Scanner(System.in); while(S.hasNext()) { n=S.nextInt(); int i,j; for(i=0;i<n;i++) for(j=0;j<n;j++) p[i][j]=S.nextDouble(); DP(); for(i=0;i<n;i++) { if(i!=0) PR(" "); PR(f[1<<i]); } PR("\n"); } } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.text.*; import java.math.*; public class Main{ static double EPS=1e-10; static double PI=Math.acos(-1.0); static double p[][]=new double[25][25]; static double f[]=new double[1<<20]; static int n; public static void PR(String s){ System.out.print(s); } public static void PR(double s) { java.text.DecimalFormat d=new java.text.DecimalFormat("#.0000000"); System.out.print(d.format(s)); } public static void DP() { int i,j,k,cnt; for(i=0;i<(1<<n);i++) f[i]=0; f[(1<<n)-1]=1; for(k=(1<<n)-1;k>=0;k--) { cnt=0; for(i=0;i<n;i++) if((k&(1<<i))!=0) cnt++; for(i=0;i<n;i++) if((k&(1<<i))!=0) { for(j=0;j<n;j++) if(i!=j&&(k&(1<<j))!=0) { f[k^(1<<j)]+=f[k]*p[i][j]/((cnt-1)*cnt/2); } } } } public static void main(String[] args){ Scanner S=new Scanner(System.in); while(S.hasNext()) { n=S.nextInt(); int i,j; for(i=0;i<n;i++) for(j=0;j<n;j++) p[i][j]=S.nextDouble(); DP(); for(i=0;i<n;i++) { if(i!=0) PR(" "); PR(f[1<<i]); } PR("\n"); } } }
np
16_E. Fish
CODEFORCES
import java.text.DecimalFormat; import java.util.Scanner; /** * * @author Alvaro */ public class Main{ public static int n; public static double [] dp; public static double [][] p; public static void main(String[] args) { Scanner in = new Scanner(System.in); n = in.nextInt(); dp = new double[1<<n]; p = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { p[i][j]= in.nextDouble(); } } for (int i = 0; i <(1<<n); i++) { dp[i] = -1; } dp[(1<<n)-1]=1; DecimalFormat d = new DecimalFormat("0.000000"); System.out.print(d.format(f(1<<0))); for (int i = 1; i < n; i++) { System.out.print(" "+d.format(f(1<<i))); } } public static double f(int mask) { if(dp[mask]>-0.5) return dp[mask]; dp[mask] = 0; int vivos = 1; for (int i = 0; i < n; i++) if((mask>>i)%2==1) vivos++; double pares = (vivos*(vivos-1))/2; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if((mask&(1<<i))!=0&&(mask&(1<<j))==0){ dp[mask]+=f(mask|(1<<j))*p[i][j]/pares; } } } return dp[mask]; } }
np
16_E. Fish
CODEFORCES
import java.util.HashMap; import java.util.Scanner; import javax.swing.text.html.HTMLDocument.Iterator; public class Main { public static double p[]; static double s[]; static double m[]; static int n; public static double a[][]; public static int index=0; public static boolean vis[]; public static HashMap<Integer, Integer> permMap; public static void main(String g[]) { Scanner sc = new Scanner(System.in); n=sc.nextInt(); m = new double[(1<<n) +1]; vis = new boolean[(1<<n) +1]; a = new double[n][n]; for(int i=0;i<n;i++) { for(int j=0;j<n;j++) { //System.out.println("read"+(c++)); a[i][j] = sc.nextDouble(); } } s = new double[1<<n]; // 2^n int perm=0; m[0]=1; p(); // System.out.println("answers : "); int c=((1<<n)-1); for(int i=0;i<n;i++) { perm = c-(1<<i); // System.out.printf("permutation = %x, prob = %f\n",perm,m[perm]); System.out.printf("%.6f ",m[perm]); } // getPerms(0); // p(perm); // double res[] = new double[n]; // for(int i=0;i<n;i++) { // for(int j=0;j<n;j++) // if((i&(i-1))!=0) // continue; // res[i] = // p(perm,n); // System.out.println(m[i][j]); } // int cur=(1<<n)-1; // //int i=0; // for(i=0;i<n;i++) // { // int val=(cur-(1<<i)); // int L = n-1; // System.out.printf("running for %x .... P = %f\n",val,getProb(val,L)); // // } //getP((1<<n)-1)); // for(int i=0;i<m.length;i++) // { // System.out.println(m[perm]); // } } public static void p() { for(int k=0;k<(1<<n);k++) { int perm=k; for(int j=0;j<n;j++) { if(bitTest(perm, j)) { continue; } int newPerm=perm|(1<<j); // j got eaten for(int i=0;i<n;i++) { if( (i==j) || bitTest(newPerm,i)) { continue; } // i eats j int L=n-countO(perm); if(L<2) { continue; } //System.out.println("L="+L); double pm = 2.0/(L*(L-1)); // System.out.printf("Left with %d,%d eats %d \n",L,i,j); m[newPerm]+=m[perm]*a[i][j]*pm; // System.out.printf("p(%x)= %f \n",newPerm,m[newPerm]); //System.out.printf("p(%x)= %f \n",newPerm2,m[newPerm2]); } // System.out.printf("p(%x)= %f \n",newPerm,m[newPerm]); // System.out.println("here-------------------->"); } } } private static int countO(int marked) { // TODO Auto-generated method stub int count=0; for(int i=0;i<n;i++) { int test = (1<<i); if((test&marked)==(test)) count++; } return count; } private static boolean bitTest(int perm, int i) { // TODO Auto-generated method stub int test = (1<<i); if((test&perm)==test) return true; return false; } private static int bitSet(int perm, int i) { // TODO Auto-generated method stub int np = (1<<i); return np; } }
np
16_E. Fish
CODEFORCES
import java.io.*; public class Main { static double arr[][]; public static void main(String[] args) { try { Parserdoubt pd=new Parserdoubt(System.in); PrintWriter pw=new PrintWriter(System.out); int fishes=pd.nextInt(); arr=new double[fishes][fishes]; for(int i=0;i<fishes;i++) for(int j=0;j<fishes;j++) arr[i][j]=Double.parseDouble(pd.nextString()); double dp[]=new double[(1<<fishes)]; dp[dp.length-1]=1.0; for(int c=dp.length-1;c>=0;c--) { if((c&(c-1))==0) continue; for(int i=0;i<fishes;i++) for(int j=i+1;j<fishes;j++) { if(((1<<i)&c)!=0&&((1<<j)&c)!=0) { dp[c&~(1<<j)]+=arr[i][j]*dp[c]; dp[c&~(1<<i)]+=arr[j][i]*dp[c]; } } } double s=0.0; for(int i=0;i<fishes;i++) s+=dp[1<<i]; for(int i=0;i<fishes;i++) dp[1<<i]/=s; int i=0; for(i=0;i<fishes-1;i++) pw.printf("%.6f ",dp[1<<i]); pw.printf("%.6f\n",dp[1<<i]); pw.close(); } catch(Exception e) {} } } class Parserdoubt { final private int BUFFER_SIZE = 1 << 17; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead; public Parserdoubt(InputStream in) { din = new DataInputStream(in); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public String nextString() throws Exception { StringBuffer sb=new StringBuffer(""); byte c = read(); while (c <= ' ') c = read(); do { sb.append((char)c); c=read(); }while(c>' '); return sb.toString(); } public char nextChar() throws Exception { byte c=read(); while(c<=' ') c= read(); return (char)c; } public int nextInt() throws Exception { int ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = c == '-'; if (neg) c = read(); do { ret = ret * 10 + c - '0'; c = read(); } while (c > ' '); if (neg) return -ret; return ret; } public long nextLong() throws Exception { long ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = c == '-'; if (neg) c = read(); do { ret = ret * 10 + c - '0'; c = read(); } while (c > ' '); if (neg) return -ret; return ret; } private void fillBuffer() throws Exception { bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); if (bytesRead == -1) buffer[0] = -1; } private byte read() throws Exception { if (bufferPointer == bytesRead) fillBuffer(); return buffer[bufferPointer++]; } }
np
16_E. Fish
CODEFORCES
/** * Created by IntelliJ IDEA. * User: Taras_Brzezinsky * Date: 8/14/11 * Time: 9:53 PM * To change this template use File | Settings | File Templates. */ import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.FileReader; import java.util.StringTokenizer; import java.io.IOException; import java.util.Arrays; public class Fish extends Thread { public Fish() { this.input = new BufferedReader(new InputStreamReader(System.in)); this.output = new PrintWriter(System.out); this.setPriority(Thread.MAX_PRIORITY); } static int getOnes(int mask) { int result = 0; while (mask != 0) { mask &= mask - 1; ++result; } return result; } private void solve() throws Throwable { int n = nextInt(); double[][] a = new double[n][n]; double[] dp = new double[(1 << n)]; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { a[i][j] = nextDouble(); } } int limit = (1 << n) - 1; //dp[mask] = probability of current subset (mask) to remain in the end dp[limit] = 1.0; for (int mask = limit; mask > 0; --mask) { int cardinality = getOnes(mask); int probability = cardinality * (cardinality - 1) / 2; for (int first = 0; first < n; ++first) { if ((mask & powers[first]) != 0) { for (int second = first + 1; second < n; ++second) { if ((mask & powers[second]) != 0) { dp[mask - powers[first]] += dp[mask] * a[second][first] / probability; dp[mask - powers[second]] += dp[mask] * a[first][second] / probability; } } } } } for (int i = 0; i < n; ++i) { output.printf("%.10f ", dp[powers[i]]); } } public void run() { try { solve(); } catch (Throwable e) { System.err.println(e.getMessage()); e.printStackTrace(); System.exit(666); } finally { output.flush(); output.close(); } } public static void main(String[] args) { new Fish().start(); } private String nextToken() throws IOException { while (tokens == null || !tokens.hasMoreTokens()) { tokens = new StringTokenizer(input.readLine()); } return tokens.nextToken(); } private int nextInt() throws IOException { return Integer.parseInt(nextToken()); } private double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } private long nextLong() throws IOException { return Long.parseLong(nextToken()); } static final int powers[] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144}; private BufferedReader input; private PrintWriter output; private StringTokenizer tokens = null; }
np
16_E. Fish
CODEFORCES
/** * Created by IntelliJ IDEA. * User: aircube * Date: 11.01.11 * Time: 4:14 * To change this template use File | Settings | File Templates. */ import java.io.*; import java.math.BigInteger; import java.util.*; import java.util.concurrent.Exchanger; public class Template { BufferedReader br; PrintWriter out; StringTokenizer st; public static void main(String[] args) throws IOException { new Template().run(); } void run() throws IOException { br = new BufferedReader(new InputStreamReader(System.in)); st = null; out = new PrintWriter(System.out); solve(); br.close(); out.close(); } double dm[]; double a[][]; boolean fil[]; int p[]; int n; // x & (x - 1) // 10 // void solve() throws IOException { n = nextInt(); a = new double[n][n]; for(int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { a[i][j] = nextDouble(); } dm = new double[1 << n]; dm[(1 << n) - 1] = 1; for(int mask = (1 << n) - 1; mask >= 1; --mask) { int c = Integer.bitCount(mask); if (c == 1) continue ; double p = 2.0 / (double)(c - 1) / (double) c; for(int i = 0; i < n; ++i) { for (int j =0 ; j < n; ++j) { if (i != j && (mask & (1 << i)) > 0 && (mask & (1 << j)) > 0) { dm[mask ^ (1 << j)] += a[i][j] * dm[mask] * p; } } } } for(int i = 0; i < n; ++i) { out.print(dm[1 << i] + " "); } } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } String nextToken() throws IOException { while (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }
np
16_E. Fish
CODEFORCES
import java.util.*; public class E { public static void main(String[] args) { new E(new Scanner(System.in)); } public E(Scanner in) { int N = in.nextInt(); double[][] g = new double[N][N]; for (int j=0; j<N; j++) for (int i=0; i<N; i++) g[i][j] = in.nextDouble(); double[] memo = new double[1<<N]; memo[(1<<N)-1] = 1.0; for (int m=(1<<N)-1; m>0; m--) { int cnt = 0; for (int i=0; i<N; i++) { int m1 = 1 << i; if ((m1&m) > 0) cnt++; } int sum = (cnt*(cnt-1))/2; for (int i=0; i<N; i++) { int m1 = 1 << i; if ((m1&m) == 0) continue; for (int j=i+1; j<N; j++) { int m2 = 1 << j; if ((m2&m) == 0) continue; memo[m-m1] += (g[i][j]*memo[m])/sum; memo[m-m2] += (g[j][i]*memo[m])/sum; } } } StringBuilder sb = new StringBuilder(); for (int i=0; i<N; i++) { double res = memo[1<<i]; sb.append(String.format("%.8f", res)); sb.append(' '); } System.out.println(sb.toString().trim()); } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; import java.math.*; import java.util.regex.*; /** * * @author jon */ public class Fish { double memo[] = new double[(1<<18)]; int N, FULL; double prob[][] = new double[18][18]; Fish() { Scanner in = new Scanner(System.in); Arrays.fill(memo, -1); N = in.nextInt(); FULL = (1<<N) - 1; for(int i = 0; i < N; i++) { for(int j = 0; j < N; j++) { prob[i][j] = in.nextDouble(); } } for(int i = 0; i < N; i++) { System.out.printf("%.6f ", go((1<<i))); } System.out.println(); } public double go(int mask) { if(mask == FULL) return 1.0; if(memo[mask] >= 0) return memo[mask]; double ret = 0; double mult = Integer.bitCount(mask) + 1; mult *= (mult-1)/2.0; for(int i = 0; i < N; i++) { if(((1<<i) & mask) != 0) { for(int j = 0; j < N; j++) { if(((1<<j) & mask) == 0) { ret += go(mask | (1<<j)) * prob[i][j]; } } } } ret /= mult; memo[mask] = ret; return ret; } public static void main(String args[]) { new Fish(); } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class A { static double[][] a; static int N; static double[][] memo; static double[] dp(int alive) { int count = Integer.bitCount(alive); if(count == 1) { double[] ret = new double[N]; for(int i = 0; i < N; ++i) if((alive & (1<<i)) != 0) { ret[i] = 1; break; } return memo[alive] = ret; } if(memo[alive] != null) return memo[alive]; double[] ret = new double[N]; for(int j = 0; j < N; ++j) if((alive & (1<<j)) != 0) { double[] nxt = dp(alive & ~(1<<j)); for(int i = 0; i < N; ++i) ret[i] += die[j][alive] * nxt[i]; } return memo[alive] = ret; } static double[][] die; static void f() { die = new double[N][1<<N]; for(int i = 0; i < N; ++i) for(int j = 0; j < 1<<N; ++j) { int count = Integer.bitCount(j); if(count <= 1) continue; double prop = 1.0 / (count * (count - 1) >> 1); for(int k = 0; k < N; ++k) if((j & (1<<k)) != 0) die[i][j] += prop * a[k][i]; } } public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); PrintWriter out = new PrintWriter(System.out); N = sc.nextInt(); a = new double[N][N]; for(int i = 0; i < N; ++i) for(int j = 0; j < N; ++j) a[i][j] = sc.nextDouble(); memo = new double[1<<N][]; f(); double[] ret = dp((1<<N) - 1); for(int i = 0; i < N - 1; ++i) out.printf("%.8f ",ret[i]); out.printf("%.8f\n", ret[N-1]); out.flush(); out.close(); } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s){ br = new BufferedReader(new InputStreamReader(s));} public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public double nextDouble() throws NumberFormatException, IOException { return Double.parseDouble(next()); } public int nextInt() throws IOException {return Integer.parseInt(next());} public long nextLong() throws IOException {return Long.parseLong(next());} public String nextLine() throws IOException {return br.readLine();} public boolean ready() throws IOException {return br.ready();} } }
np
16_E. Fish
CODEFORCES
import java.io.InputStreamReader; import java.io.IOException; import java.util.Arrays; import java.io.BufferedReader; import java.io.OutputStream; import java.io.PrintWriter; import java.util.StringTokenizer; import java.math.BigInteger; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * @author AlexFetisov */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); PrintWriter out = new PrintWriter(outputStream); TaskE solver = new TaskE(); solver.solve(1, in, out); out.close(); } } class TaskE { private int n; private double[] dp; private double[][] p; public void solve(int testNumber, InputReader in, PrintWriter out) { n = in.nextInt(); p = new double[n][n]; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { p[i][j] = in.nextDouble(); } } dp = new double[1 << n]; Arrays.fill(dp, -1); for (int i = 0; i < n; ++i) { out.printf("%.6f ", rec(1 << i)); } out.println(); } private double rec(int mask) { if (mask == (1 << n) - 1) return 1; if (dp[mask] > -0.5) return dp[mask]; double res = 0; int nn = Integer.bitCount(mask); int total = (nn * (nn + 1)) / 2; for (int i = 0; i < n; ++i) if (BitUtils.checkBit(mask, i)) for (int j = 0; j < n; ++j) if (!BitUtils.checkBit(mask, j)) { res += rec(BitUtils.setBit(mask, j)) * p[i][j]; } res /= total; dp[mask] = res; return res; } } class InputReader { private BufferedReader reader; private StringTokenizer stt; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream)); } public String nextLine() { try { return reader.readLine().trim(); } catch (IOException e) { return null; } } public String nextString() { while (stt == null || !stt.hasMoreTokens()) { stt = new StringTokenizer(nextLine()); } return stt.nextToken(); } public int nextInt() { return Integer.parseInt(nextString()); } public double nextDouble() { return Double.parseDouble(nextString()); } } class BitUtils { public static boolean checkBit(int mask, int bit) { return (mask & (1 << bit)) > 0; } public static int setBit(int mask, int bit) { return (mask | (1 << bit)); } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.io.*; public class e{ int n; double f[]; double a[][]; public void run(){ Locale.setDefault(Locale.US); Scanner in = new Scanner(System.in); n = in.nextInt(); a = new double[n][n]; for(int i=0;i<n;i++) for(int j=0;j<n;j++) a[i][j] = in.nextDouble(); f = new double[1<<n]; for(int i=0;i<1<<n;i++) f[i] = -1; f[(1<<n)-1] = 1.0; for(int i=0;i<n;i++) System.out.print(doIt(1<<i) + " "); } private double doIt(int mask){ if (f[mask] >=0) return f[mask]; f[mask] = 0; double k = getBits(mask); k*=(k-1)/2.0; for(int i=0;i<n;i++) if ((mask & (1 << i)) > 0) for(int j=0;j<n;j++) if ((mask & (1 << j)) == 0) f[mask]+=doIt(mask|(1<<j))*a[i][j]/k; return f[mask]; } private int getBits(int x){ int cnt = 0; while(x > 0){ x&=(x-1); cnt++; } return cnt+1; } public static void main(String args[]){ new e().run(); } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.io.*; public class Fish { static double[][] prob= new double[18][18]; static double[][] dp= new double[2][1<<18]; static ArrayList<Integer>[] adj= new ArrayList[1<<18]; static int n; public static void init() { for(int i=0; i<(1<<18); i++) adj[i]= new ArrayList<Integer>(); for(int i=0; i<(1<<18); i++) for(int j=0; j<18; j++) if(((i>>j)&1)==1) adj[i].add(i^(1<<j)); } public static double value(int cur, int next) { int i=0; int z= cur^next; double p=0; int alive= Integer.bitCount(cur); while((z>>i)!=1) i++; for(int k=0; k<n; k++) if( ((next>>k)&1)==1) p+= prob[k][i]; p/= alive*(alive-1)/2; return p; } public static void main(String[] args)throws Exception { Scanner scan= new Scanner(System.in); init(); n=scan.nextInt(); int m= (1<<n)-1; for(int i=0; i<n; i++) for(int j=0; j<n; j++) prob[i][j]= scan.nextDouble(); dp[0][m]=1; for(int i=0; i<(n-1); i++) { for(int j=0; j<=m; j++) if(dp[i%2][j]>0) for(Integer next: adj[j]) dp[(i+1)%2][next]+= value(j,next)*dp[i%2][j]; Arrays.fill(dp[i%2],0); } for(int i=0; i<n; i++) { if(i!=0) System.out.print(" "); System.out.printf("%.6f",dp[(n-1)%2][1<<i]); } } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.io.*; public class e { private void main() { Scanner stdin = new Scanner(System.in); PrintStream stdout = System.out; int n = stdin.nextInt(); double[][] p = new double[n][n]; double[][] ans = new double[1<<n][n]; for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) p[i][j] = stdin.nextDouble(); double[] dieChance = new double[n]; ArrayList<Integer> sel = new ArrayList<Integer>(); for(int i = 0; i < (1<<n); i++) { sel.clear(); for(int k = 0; k < n; k++) { if((i & (1<<k)) != 0) sel.add(k); } if(sel.size() == 1) { ans[i][sel.get(0)] = 0; continue; } for(int j : sel) dieChance[j] = 0; for(int j : sel) for(int k : sel) dieChance[k] += p[j][k]; for(int j : sel) dieChance[j] /= sel.size()*(sel.size()-1)/2; for(int j : sel) { ans[i][j] = dieChance[j]; for(int k : sel) ans[i][j] += dieChance[k] * ans[i-(1<<k)][j]; } } for(double d : ans[(1<<n)-1]) stdout.format("%f ", 1-d); stdout.println(); } public static void main(String[] args) { new e().main(); } }
np
16_E. Fish
CODEFORCES
import java.util.Arrays; import java.util.Scanner; public class P16E { int n; double [][]prob; double []dp; public P16E() { Scanner sc = new Scanner(System.in); n = sc.nextInt(); prob = new double [n][n]; for (int i = 0; i < n; i++){ for (int j = 0; j < n; j++){ prob[i][j] = sc.nextDouble(); } } sc.close(); dp = new double[(1<<n)]; Arrays.fill(dp, -1); for (int i = 0; i < n; i++) { int a = 1 << i; System.out.print(compute(a) + " "); } } double compute (int mask){ if (mask == (1<<n) - 1){ return 1; } if (dp[mask] != -1){ return dp[mask]; } double result = 0; int c = 0; for (int i = 0; i < n; i++) { int a = 1 << i; if ((a & mask) != 0) { c++; for (int j = 0; j < n; j++) { int b = 1 << j; if ((b & mask) == 0) { result += (prob[i][j] * compute(mask | b)); } } } } int nC2 = (c + 1) * c / 2; dp[mask] = result / nC2; return dp[mask]; } public static void main (String []args){ new P16E(); } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.text.*; import java.math.*; public class Main{ static double EPS=1e-10; static double PI=Math.acos(-1.0); static double p[][]=new double[25][25]; static double f[]=new double[1<<20]; static int n; public static void PR(String s){ System.out.print(s); } public static void PR(double s) { java.text.DecimalFormat d=new java.text.DecimalFormat("#.0000000"); System.out.print(d.format(s)); } public static void DP() { int i,j,k,cnt; for(i=0;i<(1<<n);i++) f[i]=0; f[(1<<n)-1]=1; for(k=(1<<n)-1;k>=0;k--) { cnt=0; for(i=0;i<n;i++) if((k&(1<<i))!=0) cnt++; for(i=0;i<n;i++) if((k&(1<<i))!=0) { for(j=0;j<n;j++) if(i!=j&&(k&(1<<j))!=0) { f[k^(1<<j)]+=f[k]*p[i][j]/((cnt-1)*cnt/2); } } } } public static void main(String[] args){ Scanner S=new Scanner(System.in); while(S.hasNext()) { n=S.nextInt(); int i,j; for(i=0;i<n;i++) for(j=0;j<n;j++) p[i][j]=S.nextDouble(); DP(); for(i=0;i<n;i++) { if(i!=0) PR(" "); PR(f[1<<i]); } PR("\n"); } } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Main { public static void main(String[] args) throws Exception { //System.setIn(new FileInputStream("1")); in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); int n = nextInt(); double[][] a = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { a[i][j] = nextDouble(); } } double[] dp = new double[1 << n]; dp[(1 << n) - 1] = 1.0; for (int mask = (1 << n) - 2; mask > 0; mask--) { int count = Integer.bitCount(mask); double pPair = 2.0 / (count * (count + 1)); double ans = 0.0; for (int i = 0; i < n; i++) { if (((1 << i) & mask) == 0) { double p = dp[(1 << i) | mask]; double s = 0.0; for (int j = 0; j < n; j++) { if (((1 << j) & mask) != 0) s += a[j][i]; } ans += pPair * p * s; } } dp[mask] = ans; } for (int i = 0; i < n; i++) { out.print(dp[1 << i]); out.print(' '); } in.close(); out.close(); } static StringTokenizer st; static BufferedReader in; static PrintWriter out; static int nextInt() throws IOException { return Integer.parseInt(nextString()); } static double nextDouble() throws IOException { return Double.parseDouble(nextString()); } static String nextString() throws IOException { while (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(in.readLine()); } return st.nextToken(); } }
np
16_E. Fish
CODEFORCES
import java.util.*; public class Main { public static void main(String [] args){ Scanner in=new Scanner(System.in); int n=in.nextInt(); double value[][]=new double[n][n]; for(int i=0;i<n;i++) for(int j=0;j<n;j++)value[i][j]=in.nextDouble(); double ans[]=new double[1<<n]; int mask=(1<<n); ans[(1<<n)-1]=1.0; for(int i=mask-1;i>=0;i--){ int cnt=Integer.bitCount(i); int pairs=cnt*(cnt-1)/2; for(int j=0;j<n;j++){ if(((i>>j)&1)==0)continue; for(int k=j+1;k<n;k++){ if(((i>>k)&1)==0)continue; ans[i^(1<<k)]+=ans[i]*value[j][k]/pairs; ans[i^(1<<j)]+=ans[i]*value[k][j]/pairs; } } } for(int i=0;i<n;i++) System.out.print(ans[1<<i]+" "); } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.math.*; import java.util.*; public class Main { InputReader input; PrintWriter output; void run(){ output = new PrintWriter(new OutputStreamWriter(System.out)); input = new InputReader(System.in); solve(); output.flush(); } public static void main(String[] args){ new Main().run(); } boolean isBitSet(int mask, int i) { return (mask&(1<<i)) != 0; } int unSet(int mask, int i) { return mask & ~(1<<i); } void solve() { int n = input.ni(); double[][] prb = new double[n][n]; for(int i = 0; i < n; i++) { for(int j = 0; j < n; j++) { prb[i][j] = input.readDouble(); } } double[] dp = new double[1<<n]; dp[0] = 1.0; for(int i = 0; i < 1<<n; i++) { int remaining = n-Integer.bitCount(i); double remainingProbability = remaining*(remaining-1)/2; for(int j = 0; j < n; j++) { if(!isBitSet(i, j)) { //jth fish is alive for(int k = 0; k < n; k++) { //candidates to kill jth fish if(!isBitSet(i, k)) dp[i|(1<<j)] += dp[i]*prb[k][j]/(remainingProbability); } } } } for(int i = 0; i < n; i++) { output.printf("%.7f ",dp[unSet((1<<n)-1, i)]); } output.println(); } class InputReader { private boolean finished = false; private InputStream stream; private byte[] buf = new byte[1024]; private int curChar; private int numChars; private SpaceCharFilter filter; public InputReader(InputStream stream) { this.stream = stream; } public int read() { if (numChars == -1) throw new InputMismatchException(); if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) return -1; } return buf[curChar++]; } public int peek() { if (numChars == -1) return -1; if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { return -1; } if (numChars <= 0) return -1; } return buf[curChar]; } public int ni() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public long nl() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } long res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public String ns() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuilder res = new StringBuilder(); do { res.appendCodePoint(c); c = read(); } while (!isSpaceChar(c)); return res.toString(); } public boolean isSpaceChar(int c) { if (filter != null) return filter.isSpaceChar(c); return isWhitespace(c); } public boolean isWhitespace(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } private String readLine0() { StringBuilder buf = new StringBuilder(); int c = read(); while (c != '\n' && c != -1) { if (c != '\r') buf.appendCodePoint(c); c = read(); } return buf.toString(); } public String readLine() { String s = readLine0(); while (s.trim().length() == 0) s = readLine0(); return s; } public String readLine(boolean ignoreEmptyLines) { if (ignoreEmptyLines) return readLine(); else return readLine0(); } public BigInteger readBigInteger() { try { return new BigInteger(ns()); } catch (NumberFormatException e) { throw new InputMismatchException(); } } public char readCharacter() { int c = read(); while (isSpaceChar(c)) c = read(); return (char) c; } public double readDouble() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } double res = 0; while (!isSpaceChar(c) && c != '.') { if (c == 'e' || c == 'E') return res * Math.pow(10, ni()); if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } if (c == '.') { c = read(); double m = 1; while (!isSpaceChar(c)) { if (c == 'e' || c == 'E') return res * Math.pow(10, ni()); if (c < '0' || c > '9') throw new InputMismatchException(); m /= 10; res += (c - '0') * m; c = read(); } } return res * sgn; } public boolean eof() { int value; while (isSpaceChar(value = peek()) && value != -1) read(); return value == -1; } public String next() { return ns(); } public SpaceCharFilter getFilter() { return filter; } public void setFilter(SpaceCharFilter filter) { this.filter = filter; } } public interface SpaceCharFilter { public boolean isSpaceChar(int ch); } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Ideone { static double p[][]; static double dp[]; static int n; public static int BitCount(int u) { int uCount; uCount = u - ((u >> 1) & 033333333333) - ((u >> 2) & 011111111111); return ((uCount + (uCount >> 3)) & 030707070707) % 63; } public static double f(int mask) { if (dp[mask] > -0.5) return dp[mask]; dp[mask] = 0; int ones = BitCount(mask); double pairs = (((ones * (ones + 1))) >> 1); //System.out.println(pairs); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if ((mask & (1 << i)) != 0 && (mask & (1 << j)) == 0) dp[mask] += f(mask | (1 << j)) * p[i][j] / pairs; } } return dp[mask]; } public static void main(String[] args) throws NumberFormatException, IOException { BufferedReader bf = new BufferedReader(new InputStreamReader(System.in)); n = Integer.parseInt(bf.readLine()); p = new double[n][n]; for (int i = 0; i < n; i++) { StringTokenizer st = new StringTokenizer(bf.readLine()); for (int j = 0; j < n; j++) { p[i][j] = Double.parseDouble(st.nextToken()); } } dp = new double[1 << n]; Arrays.fill(dp, -1.0); dp[(1 << n) - 1] = 1.; for (int i = 0; i < n - 1; i++) { System.out.print(f(1 << i) + " "); } System.out.println(f((1 << (n - 1)))); } }
np
16_E. Fish
CODEFORCES
/** * Codeforces Beta Round 16 * * @author ProjectYoung */ import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class CF16E { private void solve(InputReader in, PrintWriter out) { int n = in.nextInt(); double[][] prob = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { prob[i][j] = in.nextDouble(); } } int[] fish = new int[n]; for (int i = 0; i < n; i++) { fish[i] = 1 << i; } double[] res = new double[1 << n]; res[0] = 1.0; for (int mask = 1; mask < (1 << n) - 1; mask++) { for (int i = 0; i < n; i++) { if ((mask & fish[i]) == 0) { continue; } int lastMask = mask ^ fish[i]; int live = n; for (int j = 0; j < n; j++) { if ((lastMask & fish[j]) != 0) { live--; } } double p = 0.0; for (int j = 0; j < n; j++) { if ((lastMask & fish[j]) != 0 || j == i) { continue; } p += prob[j][i]; } res[mask] += res[lastMask] * p * 2 / live / (live - 1); } } for (int i = 0; i < n; i++) { out.printf("%.6f ", res[((1 << n) - 1) ^ fish[i]]); } } public static void main(String[] args) { InputReader in = new InputReader(System.in); PrintWriter out = new PrintWriter(System.out); new CF16E().solve(in, out); out.close(); } static class InputReader { public BufferedReader reader; public StringTokenizer tokenizer; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream), 32768); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public double nextDouble() { return Double.parseDouble(next()); } } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.StringTokenizer; public class Main { static int n, exp; static double arr[][],dp[], dies[][]; public static void main(String[] args) throws NumberFormatException, IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); n = new Integer(br.readLine()); arr = new double[n][n]; StringTokenizer st; for (int i = 0; i < n; i++) { st = new StringTokenizer(br.readLine()); for (int j = 0; j < n; j++) { arr[i][j] = Double.parseDouble(st.nextToken()); } } exp = 1<<n; dp = new double[exp]; dies = new double[n][exp]; for (int all = 0; all < exp; all++) { dp[all] = -1; int countAlive = 0; for (int i = 0; i < n; i++) { if((all&(1<<i))!=0) countAlive++; } if(countAlive <2)continue; double x=1.0/(countAlive*(countAlive-1)/2.0); for(int i=0; i<n; i++){ dies[i][all]=0; int mask=1<<i; if((mask&all)>0){ for(int j=0; j<n; j++) { int mask2=1<<j; if((mask2&all)>0) dies[i][all]+=arr[j][i]; } dies[i][all]*=x; } } } for(int myFish=0; myFish<n; myFish++){ if(myFish>0)System.out.printf(" "); System.out.printf("%.6f",ff(1<<myFish)); } System.out.println(); } static double ff(int state){ if(state==exp-1)return 1; if(dp[state]!=-1)return dp[state]; double ans=0; for(int i=0; i<n; i++) { int mask=1<<i; if((mask &state)==0) { ans+=dies[i][state+mask]*ff(state+mask); } } return dp[state]=ans; } }
np
16_E. Fish
CODEFORCES
import java.util.Locale; import java.util.Scanner; public class E { public static void main(String[] args) { Locale.setDefault(Locale.US); Scanner sc = new Scanner(System.in); int n = sc.nextInt(); double[][]p = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { p[i][j] = sc.nextDouble(); } } double[]dp = new double[1<<n]; dp[(1 << n)-1] = 1; for (int mask = (1 << n)-1; mask > 0; mask--) { int t = Integer.bitCount(mask); if (t==1) continue; double p0 = 1.0/(t*(t-1)/2); for (int i = 0; i < n; i++) { if ((mask & (1 << i)) != 0) { for (int j = 0; j < n; j++) { if (j != i && (mask & (1 << j)) != 0) dp[(mask ^ (1 << i))] += dp[mask] * p[j][i]*p0; } } } } for (int i = 0; i < n; i++) { System.out.print(dp[1 << i]+" "); } } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; import java.math.*; import java.util.regex.*; /** * * @author jon */ public class Fish { double memo[] = new double[(1<<18)]; int N, FULL; double prob[][] = new double[18][18]; Fish() { Scanner in = new Scanner(System.in); Arrays.fill(memo, -1); N = in.nextInt(); FULL = (1<<N) - 1; for(int i = 0; i < N; i++) { for(int j = 0; j < N; j++) { prob[i][j] = in.nextDouble(); } } for(int i = 0; i < N; i++) { System.out.printf("%.6f ", go((1<<i))); } System.out.println(); } public double go(int mask) { if(mask == FULL) return 1.0; if(memo[mask] >= 0) return memo[mask]; double ret = 0; double mult = Integer.bitCount(mask) + 1; mult *= (mult-1)/2.0; // double k = getBits(mask); // System.out.println(k + " " + mult); // k *= (k-1)/2.0; for(int i = 0; i < N; i++) { if(((1<<i) & mask) != 0) { for(int j = 0; j < N; j++) { if(((1<<j) & mask) == 0) { ret += go(mask | (1<<j)) * prob[i][j] / mult; } } } } //ret /= (double)mult; memo[mask] = ret; return ret; } private int getBits(int x){ int cnt = 0; while(x > 0){ x&=(x-1); cnt++; } return cnt+1; } public static void main(String args[]) { new Fish(); } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.StreamTokenizer; import java.util.Arrays; import java.util.Locale; public class E16 { static StreamTokenizer in; static PrintWriter out; static int nextInt() throws IOException { in.nextToken(); return (int)in.nval; } static double nextDouble() throws IOException { in.nextToken(); return in.nval; } static String nextString() throws IOException { in.nextToken(); return in.sval; } public static void main(String[] args) throws IOException { in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in))); out = new PrintWriter(System.out); n = nextInt(); t = 1 << n; m = new double[n][n]; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) m[i][j] = nextDouble(); memo = new double[t]; Arrays.fill(memo, Double.POSITIVE_INFINITY); for (int i = 0; i < n; i++) out.print(String.format(Locale.US, "%.6f", solve(1 << i)) + " "); out.println(); out.flush(); } static int n, t; static double[][] m; static double[] memo; static double solve(int mask) { if (memo[mask] != Double.POSITIVE_INFINITY) return memo[mask]; if (mask == t-1) return memo[mask] = 1; int k = Integer.bitCount(mask); k = (k+1)*k/2; double res = 0; for (int i = 0; i < n; i++) if ((mask&(1 << i)) != 0) for (int j = 0; j < n; j++) if ((mask&(1 << j)) == 0) res += m[i][j]*solve(mask|(1 << j)); return memo[mask] = res/k; } }
np
16_E. Fish
CODEFORCES
import java.util.Arrays; import java.util.Locale; import java.util.Scanner; public class Fish { public static void main(String[] args) { Scanner in = new Scanner(System.in); in.useLocale(Locale.US); int n = in.nextInt(); double[] dp = new double[1 << n]; Arrays.fill(dp, 0); dp[(1 << n) - 1] = 1;//? double[][] prob = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { prob[i][j] = in.nextDouble(); } } for (int t = (1 << n) - 1; t >= 0; t--) { int k = Integer.bitCount(t); for (int i = 0; i < n; i++) { if ((t & (1 << i)) > 0) { for (int j = 0; j < n; j++) { if ((t & (1 << j)) > 0) { if (i != j) { dp[t - (1 << j)] += dp[t] * prob[i][j] / (k*(k-1)/2); } } } } } } for (int i = 0; i < n; i++) { System.out.print(dp[1 << i] + " "); } } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; public class CF16E { public static void main(String[] args) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int n = Integer.parseInt(br.readLine()); double[][] aa = new double[n][n]; for (int i = 0; i < n; i++) { StringTokenizer st = new StringTokenizer(br.readLine()); for (int j = 0; j < n; j++) aa[i][j] = Double.parseDouble(st.nextToken()); } double[][] pp = new double[1 << n][n]; for (int k = 0; k < n; k++) pp[1 << k][k] = 1; for (int b = 1; b < 1 << n; b++) { int c = 0; for (int i = 0; i < n; i++) { if ((b & 1 << i) == 0) continue; c++; for (int j = i + 1; j < n; j++) { if ((b & 1 << j) == 0) continue; for (int k = 0; k < n; k++) { if ((b & 1 << k) == 0) continue; pp[b][k] += aa[i][j] * pp[b ^ 1 << j][k]; pp[b][k] += aa[j][i] * pp[b ^ 1 << i][k]; } } } if (c > 1) { double p = (double) c * (c - 1) / 2; for (int k = 0; k < n; k++) pp[b][k] /= p; } } StringBuilder sb = new StringBuilder(); int b = (1 << n) - 1; for (int k = 0; k < n; k++) sb.append(pp[b][k]).append(k == n - 1 ? '\n' : ' '); System.out.print(sb); } }
np
16_E. Fish
CODEFORCES
/* Author : Imran Khan Language: Java */ import java.io.*; import java.util.*; public class Main { public class BasicInputOutput { private StringTokenizer strtoken; private BufferedReader bufferReader; private BufferedWriter bufferWriter; private String delim = " \t\n\r\f"; BasicInputOutput() { delim = " \t\n\r\f"; initialize(); } BasicInputOutput( String s ) { delim = s; initialize(); } private void initialize() { bufferReader = new BufferedReader( new InputStreamReader( System.in )); bufferWriter = new BufferedWriter( new PrintWriter( System.out )); strtoken = null; } private void checkStringTokenizer()throws IOException { if ( strtoken == null || strtoken.hasMoreTokens() == false ) strtoken = new StringTokenizer( bufferReader.readLine(), delim ); } public int getNextInt()throws IOException { checkStringTokenizer(); return Integer.parseInt( strtoken.nextToken()); } public long getNextLong()throws IOException { checkStringTokenizer(); return Long.parseLong( strtoken.nextToken()); } public double getNextDouble()throws IOException { checkStringTokenizer(); return Double.parseDouble( strtoken.nextToken()); } public float getNextFloat()throws IOException { checkStringTokenizer(); return Float.parseFloat( strtoken.nextToken()); } public String getNextString()throws IOException { checkStringTokenizer(); return strtoken.nextToken(); } public String getNextLine()throws IOException { checkStringTokenizer(); return bufferReader.readLine(); } public void skipCurrentLine()throws IOException { checkStringTokenizer(); strtoken = null; } public void write( String var )throws IOException { bufferWriter.write( var ); } public < T > void write( char sep, T... var )throws IOException { if ( var.length == 0 ) return ; bufferWriter.write( var[0].toString()); for ( int i = 1; i < var.length; i++ ) bufferWriter.write( sep + var[i].toString()); } public void flush()throws IOException { bufferWriter.flush(); } } public static void main(String[] args) { try { new Main().run(); } catch (Exception ex) { ex.printStackTrace(); } } private BasicInputOutput iohandler; private int n; private double[][] mat; private double[][] sum; private double[] dp; private int tolive; private void run()throws Exception { initialize(); solve(); } private void initialize() throws Exception { iohandler=new BasicInputOutput(); n=iohandler.getNextInt(); mat=new double[n][n]; sum=new double[(1<<n)+10][n]; dp=new double[1<<n]; for(int i=0;i<n;i++) for(int j=0;j<n;j++) { mat[i][j]=iohandler.getNextDouble(); } } private int bitCount(int mask) { int ret=0; while(mask>0) { ret++; mask&=(mask-1); } return ret; } private void solve() throws Exception { double[] ans=new double[n]; int ub=1<<n; for(int i=1;i<ub;i++) { for(int j=0;j<n;j++) { sum[i][j]=0; for(int k=0;k<n;k++) if ((i&(1<<k))!=0) sum[i][j]+=mat[k][j]; int cntbit=bitCount(i); if (cntbit>1) sum[i][j]/=((double)cntbit*(cntbit-1.))/2.; } } for(int i=0;i<n;i++) { for(int mask=1;mask<ub;mask++) { dp[mask]=0; if ((mask&(1<<i))==0) continue; if (bitCount(mask)==1) { dp[mask]=1.; } else for(int k=0;k<n;k++) { if ((mask&(1<<k))==0) continue; if (i==k) continue; dp[mask]+=sum[mask][k]*dp[mask-(1<<k)]; } } ans[i]=dp[ub-1]; } iohandler.write(ans[0]+""); for(int i=1;i<n;i++) iohandler.write(" "+ans[i]); iohandler.write("\n"); iohandler.flush(); } }
np
16_E. Fish
CODEFORCES
import java.io.*; public class Main { static double arr[][]; public static void main(String[] args) { try { Parserdoubt pd=new Parserdoubt(System.in); PrintWriter pw=new PrintWriter(System.out); int fishes=pd.nextInt(); arr=new double[fishes][fishes]; for(int i=0;i<fishes;i++) for(int j=0;j<fishes;j++) arr[i][j]=Double.parseDouble(pd.nextString()); double dp[]=new double[(1<<fishes)]; dp[dp.length-1]=1.0; for(int c=dp.length-1;c>=0;c--) { int count=Integer.bitCount(c); if(count<=1) continue; for(int i=0;i<fishes;i++) for(int j=i+1;j<fishes;j++) { if(((1<<i)&c)!=0&&((1<<j)&c)!=0) { dp[c&~(1<<j)]+=arr[i][j]*dp[c]; dp[c&~(1<<i)]+=arr[j][i]*dp[c]; } } } double s=0.0; for(int i=0;i<fishes;i++) s+=dp[1<<i]; for(int i=0;i<fishes;i++) dp[1<<i]/=s; int i=0; for(i=0;i<fishes-1;i++) pw.printf("%.6f ",dp[1<<i]); pw.printf("%.6f\n",dp[1<<i]); pw.close(); } catch(Exception e) {} } } class Parserdoubt { final private int BUFFER_SIZE = 1 << 17; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead; public Parserdoubt(InputStream in) { din = new DataInputStream(in); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public String nextString() throws Exception { StringBuffer sb=new StringBuffer(""); byte c = read(); while (c <= ' ') c = read(); do { sb.append((char)c); c=read(); }while(c>' '); return sb.toString(); } public char nextChar() throws Exception { byte c=read(); while(c<=' ') c= read(); return (char)c; } public int nextInt() throws Exception { int ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = c == '-'; if (neg) c = read(); do { ret = ret * 10 + c - '0'; c = read(); } while (c > ' '); if (neg) return -ret; return ret; } public long nextLong() throws Exception { long ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = c == '-'; if (neg) c = read(); do { ret = ret * 10 + c - '0'; c = read(); } while (c > ' '); if (neg) return -ret; return ret; } private void fillBuffer() throws Exception { bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); if (bytesRead == -1) buffer[0] = -1; } private byte read() throws Exception { if (bufferPointer == bytesRead) fillBuffer(); return buffer[bufferPointer++]; } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; public class E16 { static double[][] grid; public static void main(String[] args) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int n = Integer.parseInt(br.readLine()); grid = new double[n][n]; for(int i = 0; i < n; i++) { StringTokenizer st = new StringTokenizer(br.readLine()); for(int j = 0; j < n; j++) { grid[i][j] = Double.parseDouble(st.nextToken()); } } boolean[] seen = new boolean[1<<n]; double[] prob = new double[1<<n]; prob[(1<<n)-1] = 1; LinkedList<Integer> q = new LinkedList<Integer>(); q.add((1<<n)-1); while(!q.isEmpty()) { int curr = q.removeFirst(); if(Integer.bitCount(curr) == 1) continue; for(int i = 0; i < n; i++) { if((curr & (1 << i)) == 0) continue; for(int j = i+1; j < n; j++) { if((curr & (1<<j)) == 0) continue; prob[curr-(1<<i)] += prob[curr] * grid[j][i]; prob[curr-(1<<j)] += prob[curr] * grid[i][j]; if(!seen[curr-(1<<i)]) { q.addLast(curr-(1<<i)); seen[curr-(1<<i)] = true; } if(!seen[curr-(1<<j)]) { q.addLast(curr-(1<<j)); seen[curr-(1<<j)] = true; } } } prob[curr] = 0; } double sum = 0; for(int i = 0; i < n; i++) { sum += prob[1<<i]; } for(int i = 0; i < n-1; i++) { System.out.print(prob[1<<i]/sum + " "); } System.out.println(prob[1<<(n-1)]/sum); } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Problem { public static void main(String[] arg){ FastScanner scan = new FastScanner(System.in); PrintWriter out = new PrintWriter(System.out); int n = scan.nextInt(); double ncr[][] = new double[n+1][n+1]; ncr[1][0] = ncr[0][1] = ncr[1][1] = 1.0; for(int i = 2; i <= n; i++){ for(int j = 0; j <= i; j++){ if(j == 0 || j == i) ncr[i][j] = 1.0; else ncr[i][j] = ncr[i-1][j] + ncr[i-1][j-1]; //System.out.print(ncr[i][j] + " "); } //System.out.println(); } double a[][] = new double[n+1][n+1]; for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) a[i][j] = scan.nextDouble(); double dp[] = new double[1<<19]; dp[(1<<n) - 1] = 1.0; for(int state = (1 << n) - 1; state >= 0; state--){ int len = 0; for(int i = 0; i < n; i++) if((state & (1 << i)) > 0) len++; for(int i = 0; i < n; i++){ if(((1 << i) & state) == 0) continue; for(int j = 0; j < i; j++){ if(((1 << j) & state) == 0) continue; dp[state & (~(1<<i))] += (dp[state] * a[j][i] / ncr[len][2]); dp[state & (~(1<<j))] += (dp[state] * a[i][j] / ncr[len][2]); //System.out.println(state + " / " + (state & (~(1<<i))) + " / " + dp[state] + " / " + a[j][i] + " / " + (dp[state] * a[j][i]) + " / " + dp[state & (~(1<<i))]); //System.out.println(state + " / " + (state & (~(1<<j))) + " / " + dp[state] + " / " + a[i][j] + " / " + (dp[state] * a[i][j]) + " / " + dp[state & (~(1<<j))]); //System.out.println(); } } } for(int i = 0; i < n; i++) System.out.print(String.format("%.6f", dp[1<<i]) + " "); out.close(); } public static long gcd(long a, long b){ if(b == 0) return a; if(a < b) return gcd(b, a); return gcd(b, a % b); } static class FastScanner { BufferedReader br; StringTokenizer st; FastScanner(InputStream is) { try { br = new BufferedReader(new InputStreamReader(is)); } catch (Exception e) { e.printStackTrace(); } } String next() { while (st == null || !st.hasMoreTokens()) { try { st = new StringTokenizer(br.readLine()); } catch (Exception e) { return null; } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.valueOf(next()); } } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; public class A { static double[][] a; static int N; static double[] memo; static double dp(int alive) { int count = Integer.bitCount(alive); if(count == N) return 1; if(memo[alive] > -5) return memo[alive]; double ret = 0; for(int j = 0; j < N; ++j) if((alive & (1<<j)) == 0) ret += die[j][alive | 1<<j] * dp(alive | 1<<j); return memo[alive] = ret; } static double[][] die; static void f() { die = new double[N][1<<N]; for(int i = 0; i < N; ++i) for(int j = 0; j < 1<<N; ++j) { int count = Integer.bitCount(j); if(count <= 1) continue; double prop = 1.0 / (count * (count - 1) >> 1); for(int k = 0; k < N; ++k) if((j & (1<<k)) != 0) die[i][j] += prop * a[k][i]; } } public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); PrintWriter out = new PrintWriter(System.out); N = sc.nextInt(); a = new double[N][N]; for(int i = 0; i < N; ++i) for(int j = 0; j < N; ++j) a[i][j] = sc.nextDouble(); memo = new double[1<<N]; f(); Arrays.fill(memo, -10); for(int i = 0; i < N - 1; ++i) out.printf("%.8f ", dp(1 << i)); out.printf("%.8f\n", dp(1 << N - 1)); out.flush(); out.close(); } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s){ br = new BufferedReader(new InputStreamReader(s));} public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public double nextDouble() throws NumberFormatException, IOException { return Double.parseDouble(next()); } public int nextInt() throws IOException {return Integer.parseInt(next());} public long nextLong() throws IOException {return Long.parseLong(next());} public String nextLine() throws IOException {return br.readLine();} public boolean ready() throws IOException {return br.ready();} } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.StreamTokenizer; import java.util.Arrays; import java.util.Locale; public class E16 { static StreamTokenizer in; static PrintWriter out; static int nextInt() throws IOException { in.nextToken(); return (int)in.nval; } static double nextDouble() throws IOException { in.nextToken(); return in.nval; } static String nextString() throws IOException { in.nextToken(); return in.sval; } public static void main(String[] args) throws IOException { in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in))); out = new PrintWriter(System.out); n = nextInt(); t = 1 << n; m = new double[n][n]; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) m[i][j] = nextDouble(); memo = new double[t]; Arrays.fill(memo, Double.POSITIVE_INFINITY); for (int i = 0; i < n; i++) out.print(String.format(Locale.US, "%.6f", solve(1 << i)) + " "); out.println(); out.flush(); } static int n, t; static double[][] m; static double[] memo; static double solve(int mask) { if (memo[mask] != Double.POSITIVE_INFINITY) return memo[mask]; if (mask == t-1) return memo[mask] = 1; int k = Integer.bitCount(mask); k = (k+1)*k/2; double res = 0; for (int i = 0; i < n; i++) if ((mask&(1 << i)) != 0) for (int j = 0; j < n; j++) if ((mask&(1 << j)) == 0) res += m[i][j]*solve(mask|(1 << j)); return memo[mask] = res/k; } }
np
16_E. Fish
CODEFORCES
import java.awt.Point; import java.io.*; import java.math.BigInteger; import java.util.*; import static java.lang.Math.*; public class ProblemE_16 { final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE")!=null; BufferedReader in; PrintWriter out; StringTokenizer tok = new StringTokenizer(""); void init() throws FileNotFoundException{ if (ONLINE_JUDGE){ in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); }else{ in = new BufferedReader(new FileReader("input.txt")); out = new PrintWriter("output.txt"); } } String readString() throws IOException{ while(!tok.hasMoreTokens()){ tok = new StringTokenizer(in.readLine()); } return tok.nextToken(); } int readInt() throws IOException{ return Integer.parseInt(readString()); } long readLong() throws IOException{ return Long.parseLong(readString()); } double readDouble() throws IOException{ return Double.parseDouble(readString()); } public static void main(String[] args){ new ProblemE_16().run(); } public void run(){ try{ long t1 = System.currentTimeMillis(); init(); solve(); out.close(); long t2 = System.currentTimeMillis(); System.err.println("Time = "+(t2-t1)); }catch (Exception e){ e.printStackTrace(System.err); System.exit(-1); } } void solve() throws IOException{ int n = readInt(); double[][] a = new double[n][n]; for (int i = 0; i < n; i++){ for (int j = 0; j < n; j++){ a[i][j] = readDouble(); } } double[] d = new double[1<<n]; d[(1 << n) - 1] = 1; for (int i = (1 << n) - 1; i > 0; i--){ ArrayList<Integer> list = new ArrayList<Integer>(); for (int j = 0; j < n; j++){ if ((i & (1 << j)) != 0) list.add(j); } double s = 0; for (int j = 0; j < list.size(); j++){ s = 0; for (int k = 0; k < list.size(); k++){ s += a[list.get(k)][list.get(j)]; } d[i ^ (1 << list.get(j))] += s * d[i] * 2 / list.size() / (list.size() - 1); } } for (int i = 0; i < n; i++){ out.printf(Locale.US, "%.9f", d[1 << i]); out.print(" "); } } static int[][] step8 = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}, {-1, -1}, {1, -1}, {-1, 1}, {1, 1}}; static int[][] stepKnight = {{-2, -1}, {-2, 1}, {-1, -2}, {-1, 2}, {1, -2}, {1, 2}, {2, -1}, {2, 1}}; static long gcd(long a, long b){ if (a == 0) return b; return gcd(b % a, a); } static long lcm(long a, long b){ return a / gcd(a, b)*b; } static long[] gcdPlus(long a, long b){ long[] d = new long[3]; if (a == 0){ d[0] = b; d[1] = 0; d[2] = 1; }else{ d = gcdPlus(b % a, a); long r = d[1]; d[1] = d[2] - b/a*d[1]; d[2] = r; } return d; } static long binpow(long a, int n){ if (n == 0) return 1; if ((n & 1) == 0){ long b = binpow(a, n/2); return b*b; }else return binpow(a, n - 1)*a; } static long binpowmod(long a, int n, long m){ if (m == 1) return 0; if (n == 0) return 1; if ((n & 1) == 0){ long b = binpowmod(a, n/2, m); return (b*b) % m; }else return binpowmod(a, n - 1, m)*a % m; } static long phi(long n){ int[] p = Sieve((int)ceil(sqrt(n)) + 2); long phi = 1; for (int i = 0; i < p.length; i++){ long x = 1; while (n % p[i] == 0){ n /= p[i]; x *= p[i]; } phi *= x - x/p[i]; } if (n != 1) phi *= n - 1; return phi; } static long f(long n, int x, int k){ //Кол-во десятичных чисел (включая 0), содержащих в себе цифры от 0 до k-1 if (n == 0) return 1; long b = binpow(10, x - 1); long c = n / b; return (c < k? c: k)*binpow(k, x - 1) + (c < k? 1: 0)*f(n % b, x - 1, k); } static long fib(int n){ if (n == 0) return 0; if ((n & 1) == 0){ long f1 = fib(n/2 - 1); long f2 = fib(n/2 + 1); return f2*f2 - f1*f1; }else{ long f1 = fib(n/2); long f2 = fib(n/2 + 1); return f1*f1 + f2*f2; } } static BigInteger BigFib(int n){ if (n == 0) return BigInteger.ZERO; if ((n & 1) == 0){ BigInteger f1 = BigFib(n/2 - 1); f1 = f1.multiply(f1); BigInteger f2 = BigFib(n/2 + 1); f2 = f2.multiply(f2); return f2.subtract(f1); }else{ BigInteger f1 = BigFib(n/2); f1 = f1.multiply(f1); BigInteger f2 = BigFib(n/2 + 1); f2 = f2.multiply(f2); return f2.add(f1); } } static public class PointD{ double x, y; public PointD(double x, double y){ this.x = x; this.y = y; } } static double d(Point p1, Point p2){ return sqrt(d2(p1, p2)); } static public double d(PointD p1, PointD p2){ return sqrt(d2(p1, p2)); } static double d2(Point p1, Point p2){ return (p1.x - p2.x) * (p1.x - p2.x) + (p1.y - p2.y) * (p1.y - p2.y); } static public double d2(PointD p1, PointD p2){ return (p1.x - p2.x) * (p1.x - p2.x) + (p1.y - p2.y) * (p1.y - p2.y); } static boolean IsProbablyPrime(long n){ if (n == 1) return false; if ((n & 1) == 0) return false; for (int j = 3; j < sqrt(n) + 1; j += 2){ if (n % j == 0) return false; } return true; } static int[] Sieve(int n){ boolean[] b = new boolean[n+1]; Arrays.fill(b, true); b[0] = false; b[1] = false; long nLong = n; int j=0; for (int i = 1; i <= n; i++) { if (b[i]){ j++; if (((long)i)*i <= nLong) { for (int k = i*i; k <= n; k += i) { b[k] = false; } } } } int[] p = new int[j]; Arrays.fill(p, 0); j=0; for (int i = 2; i <= n; i++) { if (b[i]){ p[j]=i; j++; } } return p; } static int[][] Palindromes(String s){ char[] c = s.toCharArray(); int n = c.length; int[][] d = new int[2][n]; int l = 0, r = -1; for (int i = 0; i < n; i++){ int j = (i > r? 0: min(d[0][l+r-i+1], r-i+1)) + 1; for (; i - j >= 0 && i + j - 1< n && c[i-j] == c[i+j-1]; j++); d[0][i] = --j; if (i + d[0][i] - 1 > r){ r = i + d[0][i] - 1; l = i - d[0][i]; } } l = 0; r = -1; for (int i = 0; i < n; i++){ int j = (i > r? 0: min(d[1][l+r-i], r-i)) + 1; for (; i - j >= 0 && i + j < n && c[i-j] == c[i+j]; j++); d[1][i] = --j; if (i + d[1][i] > r){ r = i + d[1][i]; l = i - d[1][i]; } } return d; } static public class Permutation { int[] a; int n; public Permutation(int n){ this.n=n; a=new int[n]; for (int i=0; i<n; i++){ a[i]=i; } } public boolean nextPermutation(){ //Пишется с do{}while(nextPermutation(a)); int i=n-1; for (i=n-2; i>=0; i--){ if (a[i]<a[i+1]){ break; } } if (i==-1){ return false; } int jMin=i+1; for (int j=n-1; j>i; j--){ if (a[i]<a[j]&&a[j]<a[jMin]){ jMin=j; } } swap(i, jMin); for (int j=1; j<=(n-i)/2; j++){ swap(i+j, n-j); } return true; } public int get(int i){ return a[i]; } void swap(int i, int j){ int r=a[i]; a[i]=a[j]; a[j]=r; } } static public class Fraction implements Comparable<Fraction>, Cloneable{ public final Fraction FRACTION_ZERO = new Fraction(); public final Fraction FRACTION_ONE = new Fraction(1); public long numerator = 0; public long denominator = 1; public Fraction(){ numerator = 0; denominator = 1; } public Fraction(long numerator){ this.numerator = numerator; denominator = 1; } public Fraction(long numerator, long denominator){ this.numerator = numerator; this.denominator = denominator; Cancellation(); } public Fraction(double numerator, double denominator, int accuracy){ this.numerator = (long)(numerator*pow(10,accuracy)); this.denominator = (long)(denominator*pow(10,accuracy)); Cancellation(); } public Fraction(String s){ if (s.charAt(0) == '-'){ denominator = -1; s = s.substring(1); } if (s.indexOf("/") != -1){ denominator *= Integer.parseInt(s.substring(s.indexOf("/") + 1)); } if (s.indexOf(" ") != -1){ numerator = Integer.parseInt(s.substring(0, s.indexOf(" "))) * abs(denominator) + Integer.parseInt(s.substring(s.indexOf(" ") + 1, s.indexOf("/"))); }else{ if (s.indexOf("/") != -1){ numerator = Integer.parseInt(s.substring(0, s.indexOf("/"))); }else{ numerator = Integer.parseInt(s)*abs(denominator); } } this.Cancellation(); } void Cancellation(){ long g = gcd(abs(numerator), abs(denominator)); numerator /= g; denominator /= g; if (denominator < 0){ numerator *= -1; denominator *= -1; } } public String toString(){ String s = ""; if (numerator == 0){ return "0"; } if (numerator < 0){ s += "-"; } if (abs(numerator) >= denominator){ s += Long.toString(abs(numerator) / denominator) + " "; } if (abs(numerator) % denominator != 0){ s += Long.toString(abs(numerator) % denominator); }else{ s = s.substring(0, s.length()-1); } if (denominator != 1){ s += "/" + Long.toString(denominator); } return s; } public Fraction add(Fraction f){ Fraction fResult = new Fraction(); fResult.denominator = lcm(denominator, f.denominator); fResult.numerator = numerator * fResult.denominator / denominator + f.numerator * fResult.denominator / f.denominator; fResult.Cancellation(); return fResult; } public Fraction subtract(Fraction f){ Fraction fResult = new Fraction(); fResult.denominator = lcm(denominator, f.denominator); fResult.numerator = numerator * fResult.denominator / denominator - f.numerator * fResult.denominator / f.denominator; fResult.Cancellation(); return fResult; } public Fraction multiply(Fraction f){ Fraction fResult = new Fraction(); fResult.numerator = numerator * f.numerator; fResult.denominator = denominator * f.denominator; fResult.Cancellation(); return fResult; } public Fraction divide(Fraction f){ Fraction fResult = new Fraction(); fResult.numerator = numerator * f.denominator; fResult.denominator = denominator * f.numerator; fResult.Cancellation(); return fResult; } @Override public int compareTo(Fraction f){ long g = gcd(denominator, f.denominator); long res = numerator * (f.denominator / g) - f.numerator * (denominator / g); if (res < 0){ return -1; } if (res > 0){ return 1; } return 0; } public Fraction clone(){ Fraction fResult = new Fraction(numerator, denominator); return fResult; } public Fraction floor(){ Fraction fResult = this.clone(); fResult.numerator = (fResult.numerator / fResult.denominator) * fResult.denominator; return fResult; } public Fraction ceil(){ Fraction fResult = this.clone(); fResult.numerator = (fResult.numerator/fResult.denominator + 1) * fResult.denominator; return fResult; } public Fraction binpow(int n){ if (n==0) return FRACTION_ONE; if ((n&1)==0){ Fraction f=this.binpow(n/2); return f.multiply(f); }else return binpow(n-1).multiply(this); } } static public class FenwickTree_1{ //One-dimensional array int n; long[] t; public FenwickTree_1(int n){ this.n = n; t = new long[n]; } public long sum(int xl, int xr){ return sum(xr) - sum(xl); } public long sum(int x){ long result = 0; for (int i = x; i >= 0; i = (i & (i + 1)) - 1){ result += t[i]; } return result; } public void update(int x, long delta){ for (int i = x; i < n; i = (i | (i + 1))){ t[i] += delta; } } } static public class FenwickTree_2{ //Two-dimensional array int n, m; long[][] t; public FenwickTree_2(int n, int m){ this.n = n; this.m = m; t = new long[n][m]; } public long sum(int xl, int yl, int xr, int yr){ return sum(xr, yr) - sum(xl - 1, yr) - sum(xr, yl - 1) + sum(xl - 1, yl - 1); } public long sum(int x, int y){ long result = 0; for (int i = x; i >= 0; i = (i & (i + 1)) - 1){ for (int j = y; j >= 0; j = (j & (j + 1)) - 1){ result+=t[i][j]; } } return result; } public void update(int x, int y, long delta){ for (int i = x; i < n; i = (i | (i + 1))){ for (int j = y; j < m; j = (j | (j + 1))){ t[i][j] += delta; } } } } static public class FenwickTree_3{ //Three-dimensional array int n, m, l; long[][][] t; public FenwickTree_3(int n, int m, int l){ this.n = n; this.m = m; this.l = l; t = new long[n][m][l]; } public long sum(int xl, int yl, int zl, int xr, int yr, int zr){ return sum(xr, yr, zr) - sum(xl - 1, yr, zr) + sum(xl - 1, yr, zl - 1) - sum(xr, yr, zl - 1) - sum(xr, yl - 1, zr) + sum(xl - 1, yl - 1, zr) - sum(xl - 1, yl - 1, zl - 1) + sum(xr, yl - 1, zl - 1); } public long sum(int x, int y, int z){ long result = 0; for (int i = x; i >= 0; i = (i & (i + 1)) - 1){ for (int j = y; j >= 0; j = (j & (j + 1)) - 1){ for (int k = z; k >= 0; k = (k & (k + 1)) - 1){ result += t[i][j][k]; } } } return result; } public void update(int x, int y, int z, long delta){ for (int i = x; i < n; i = (i | (i + 1))){ for (int j = y; j < n; j = (j | (j + 1))){ for (int k = z; k < n; k = (k | (k + 1))){ t[i][j][k] += delta; } } } } } }
np
16_E. Fish
CODEFORCES
/* Author : Imran Khan Language: Java */ import java.io.*; import java.util.*; public class Main { public class BasicInputOutput { private StringTokenizer strtoken; private BufferedReader bufferReader; private BufferedWriter bufferWriter; private String delim = " \t\n\r\f"; BasicInputOutput() { delim = " \t\n\r\f"; initialize(); } BasicInputOutput( String s ) { delim = s; initialize(); } private void initialize() { bufferReader = new BufferedReader( new InputStreamReader( System.in )); bufferWriter = new BufferedWriter( new PrintWriter( System.out )); strtoken = null; } private void checkStringTokenizer()throws IOException { if ( strtoken == null || strtoken.hasMoreTokens() == false ) strtoken = new StringTokenizer( bufferReader.readLine(), delim ); } public int getNextInt()throws IOException { checkStringTokenizer(); return Integer.parseInt( strtoken.nextToken()); } public long getNextLong()throws IOException { checkStringTokenizer(); return Long.parseLong( strtoken.nextToken()); } public double getNextDouble()throws IOException { checkStringTokenizer(); return Double.parseDouble( strtoken.nextToken()); } public float getNextFloat()throws IOException { checkStringTokenizer(); return Float.parseFloat( strtoken.nextToken()); } public String getNextString()throws IOException { checkStringTokenizer(); return strtoken.nextToken(); } public String getNextLine()throws IOException { checkStringTokenizer(); return bufferReader.readLine(); } public void skipCurrentLine()throws IOException { checkStringTokenizer(); strtoken = null; } public void write( String var )throws IOException { bufferWriter.write( var ); } public < T > void write( char sep, T... var )throws IOException { if ( var.length == 0 ) return ; bufferWriter.write( var[0].toString()); for ( int i = 1; i < var.length; i++ ) bufferWriter.write( sep + var[i].toString()); } public void flush()throws IOException { bufferWriter.flush(); } } public static void main(String[] args) { try { new Main().run(); } catch (Exception ex) { ex.printStackTrace(); } } private BasicInputOutput iohandler; private int n; private double[][] mat; private double[][] sum; private double[] dp; private int tolive; private void run()throws Exception { initialize(); solve(); } private void initialize() throws Exception { iohandler=new BasicInputOutput(); n=iohandler.getNextInt(); mat=new double[n][n]; sum=new double[(1<<n)+10][n]; dp=new double[1<<n]; for(int i=0;i<n;i++) for(int j=0;j<n;j++) { mat[i][j]=iohandler.getNextDouble(); } } private int bitCount(int mask) { int ret=0; while(mask>0) { ret++; mask&=(mask-1); } return ret; } private void solve() throws Exception { double[] ans=new double[n]; int ub=1<<n; for(int i=1;i<ub;i++) { for(int j=0;j<n;j++) { sum[i][j]=0; for(int k=0;k<n;k++) if ((i&(1<<k))!=0) sum[i][j]+=mat[k][j]; int cntbit=bitCount(i); if (cntbit>1) sum[i][j]/=((double)cntbit*(cntbit-1.))/2.; } } dp[ub-1]=1.; for(int mask=ub-1;mask>=1;mask--) { if (dp[mask]==0.) continue; for(int i=0;i<n;i++) { if ((mask&(1<<i))==0) continue; dp[mask-(1<<i)]+=sum[mask][i]*dp[mask]; } } for(int i=0;i<n;i++) ans[i]=dp[1<<i]; /* for(int i=0;i<n;i++) { for(int mask=1;mask<ub;mask++) { dp[mask]=0; if ((mask&(1<<i))==0) continue; if (bitCount(mask)==1) { dp[mask]=1.; } else for(int k=0;k<n;k++) { if ((mask&(1<<k))==0) continue; if (i==k) continue; dp[mask]+=sum[mask][k]*dp[mask-(1<<k)]; } } ans[i]=dp[ub-1]; }*/ iohandler.write(ans[0]+""); for(int i=1;i<n;i++) iohandler.write(" "+ans[i]); iohandler.write("\n"); iohandler.flush(); } }
np
16_E. Fish
CODEFORCES
import java.util.Arrays; import java.util.Scanner; public class Main { static double[] dp; static double[][] P; public static void main(String[] args) { Scanner r = new Scanner(System.in); int n = r.nextInt(); double[][] g = new double[n][n]; for(int i = 0; i < n; i++) for(int j = 0; j < n; j++) g[i][j] = r.nextDouble(); dp = new double[1 << n]; P = new double[1 << n][n]; for(int mask = 0; mask < 1 << n; mask++){ for(int d = 0; d < n; d++)if((mask & (1 << d)) == 0) for(int i = 0; i < n; i++)if((mask & (1 << i)) == 0){ if(i == d)continue; P[mask][d] += g[i][d]; } } for(int i = 0; i < n; i++){ Arrays.fill(dp, -1); double res = go(i, 0, g, n, n); System.out.println(res); } } private static double go(int a, int v, double[][] g, int cnt, int n) { if(dp[v] != -1)return dp[v]; if(cnt == 1){ return 1; }else{ double ret = 0; for(int d = 0; d < n; d++)if((v & (1 << d)) == 0 && d != a){ double current = P[v][d] * go(a, v | 1 << d, g, cnt-1, n); ret += current; } return dp[v] = ret/(cnt * (cnt-1) /2); } } }
np
16_E. Fish
CODEFORCES
import java.util.Scanner; public class A { public static int n; public static double[] masks; public static double[][] matrix; public static void main(String[] args) { Scanner scan = new Scanner(System.in); n = scan.nextInt(); matrix = new double[n][n]; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) matrix[i][j] = scan.nextDouble(); masks = new double[1 << n]; masks[(1 << n) - 1] = 1; for (int i = 0; (1 << i) < (1 << n); i++) fillDP(1 << i); for (int i = 0; (1 << i) < (1 << n); i++) System.out.printf("%.6f ", masks[1 << i]); } public static double fillDP(int mask) { int bitCount = Integer.bitCount(mask); if (masks[mask] != 0) return masks[mask]; double matchProba = 2.0 / (((double) (bitCount)) * ((double) (bitCount + 1))); double totalProba = 0; for (int i = 0; i < n; i++) { int iPower = 1 << i; if ((mask & iPower) != iPower) continue; for (int j = 0; j < n; j++) { int jPower = 1 << j; if ((mask & jPower) == jPower || i == j) continue; // still alive totalProba += (matchProba * matrix[i][j] * fillDP(mask | jPower)); } } return masks[mask] = totalProba; } }
np
16_E. Fish
CODEFORCES
/** * Created by IntelliJ IDEA. * User: Taras_Brzezinsky * Date: 8/14/11 * Time: 9:53 PM * To change this template use File | Settings | File Templates. */ import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.FileReader; import java.util.StringTokenizer; import java.io.IOException; import java.util.Arrays; public class Fish extends Thread { public Fish() { this.input = new BufferedReader(new InputStreamReader(System.in)); this.output = new PrintWriter(System.out); this.setPriority(Thread.MAX_PRIORITY); } static int getOnes(int mask) { int result = 0; while (mask != 0) { mask &= mask - 1; ++result; } return result; } private void solve() throws Throwable { int n = nextInt(); double[][] a = new double[n][n]; double[] dp = new double[(1 << n)]; for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { a[i][j] = nextDouble(); } } int limit = (1 << n) - 1; //dp[mask] = probability of current subset (mask) to remain in the end dp[limit] = 1.0; for (int mask = limit; mask > 0; --mask) { int cardinality = getOnes(mask); int probability = cardinality * (cardinality - 1) / 2; for (int first = 0; first < n; ++first) { if ((mask & powers[first]) != 0) { for (int second = first + 1; second < n; ++second) { if ((mask & powers[second]) != 0) { dp[mask - powers[first]] += dp[mask] * a[second][first] / probability; dp[mask - powers[second]] += dp[mask] * a[first][second] / probability; } } } } } for (int i = 0; i < n; ++i) { output.printf("%.10f ", dp[powers[i]]); } } public void run() { try { solve(); } catch (Throwable e) { System.err.println(e.getMessage()); e.printStackTrace(); System.exit(666); } finally { output.flush(); output.close(); } } public static void main(String[] args) { new Fish().start(); } private String nextToken() throws IOException { while (tokens == null || !tokens.hasMoreTokens()) { tokens = new StringTokenizer(input.readLine()); } return tokens.nextToken(); } private int nextInt() throws IOException { return Integer.parseInt(nextToken()); } private double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } private long nextLong() throws IOException { return Long.parseLong(nextToken()); } static int powers[] = {1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144}; private BufferedReader input; private PrintWriter output; private StringTokenizer tokens = null; }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.StringTokenizer; public class Main16E { private FastScanner in; private PrintWriter out; public void solve() throws IOException { int n = in.nextInt(); double[][] a = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { a[i][j] = in.nextDouble(); } } int k = 1 << n; double[] p = new double[k]; int[][] b = new int[n + 1][]; for (int i = 0; i <= n; i++) { b[i] = new int[comb(i, n)]; } int[] bl = new int[n + 1]; for(int i = 0; i < k; i++) { int c = c2(i); b[c][bl[c]] = i; bl[c]++; } p[k - 1] = 1; for (int i = n; i >= 2; i--) { for (int j = 0; j < b[i].length; j++) { int t = b[i][j]; double pm = 1; pm /= (i * (i - 1) / 2); for (int x = 0; x < n; x++) { for (int y = x + 1; y < n; y++) { if ((t & (1 << x)) > 0 && (t & (1 << y)) > 0) { p[t & ~(1 << x)] += p[t] * pm * a[y][x]; p[t & ~(1 << y)] += p[t] * pm * a[x][y]; } } } } } for (int i = 0; i < n; i++) { out.print(p[1 << i] + " "); } } int comb(int n, int m) { int res = 1; for (int i = 1; i <= n; i++) { res = res * (m - i + 1); res /= i; } return res; } int c2(int k) { int res = 0; while (k > 0) { if (k % 2 == 1) { res ++; } k /= 2; } return res; } public void run() { try { in = new FastScanner(System.in); out = new PrintWriter(System.out); solve(); out.close(); } catch (IOException e) { e.printStackTrace(); } } class FastScanner { BufferedReader br; StringTokenizer st; FastScanner(InputStream is) { br = new BufferedReader(new InputStreamReader(is)); } String next() { while (st == null || !st.hasMoreTokens()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } double nextDouble() { return Double.parseDouble(next()); } } public static void main(String[] arg) { new Main16E().run(); } }
np
16_E. Fish
CODEFORCES
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.Queue; import java.util.concurrent.ArrayBlockingQueue; public class ProblemE { static final int INF = 1000000; public static void main(String[] args) throws IOException { BufferedReader s = new BufferedReader(new InputStreamReader(System.in)); PrintWriter out = new PrintWriter(System.out); int n = Integer.valueOf(s.readLine()); double[][] prob = new double[n][n]; double[] dp = new double[1<<n]; for (int i = 0 ; i < n ; i++) { String[] line = s.readLine().split(" "); for (int j = 0 ; j < n ; j++) { prob[i][j] = Double.valueOf(line[j]); } } dp[(1<<n)-1] = 1.0d; for (int p = (1<<n)-1 ; p >= 1 ; p--) { if (dp[p] > 0.0d) { int left = Integer.bitCount(p); if (left == 1) { continue; } double baseProb = 1.0d / (left * (left - 1) / 2); for (int i = 0 ; i < n ; i++) { if ((p & (1<<i)) == 0) { continue; } for (int j = i+1 ; j < n ; j++) { if ((p & (1<<j)) == 0) { continue; } dp[p-(1<<i)] += dp[p] * baseProb * prob[j][i]; dp[p-(1<<j)] += dp[p] * baseProb * prob[i][j]; } } } } StringBuffer b = new StringBuffer(); for (int i = 0 ; i < n ; i++) { b.append(" ").append(dp[1<<i]); } out.println(b.substring(1)); out.flush(); } public static void debug(Object... os){ System.err.println(Arrays.deepToString(os)); } }
np
16_E. Fish
CODEFORCES
import java.io.InputStreamReader; import java.io.IOException; import java.util.InputMismatchException; import java.io.BufferedReader; import java.io.OutputStream; import java.io.PrintWriter; import java.io.Reader; import java.io.Writer; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * @author Niyaz Nigmatullin */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; FastScanner in = new FastScanner(inputStream); FastPrinter out = new FastPrinter(outputStream); Fish solver = new Fish(); solver.solve(1, in, out); out.close(); } } class Fish { public void solve(int testNumber, FastScanner in, FastPrinter out) { int n = in.nextInt(); double[][] p = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { p[i][j] = in.nextDouble(); } } double[] dp = new double[1 << n]; dp[(1 << n) - 1] = 1; for (int mask = (1 << n) - 1; mask >= 0; mask--) { int countPairs = Integer.bitCount(mask); countPairs = countPairs * (countPairs - 1) / 2; for (int i = 0; i < n; i++) { if (((mask >> i) & 1) == 0) { continue; } for (int j = i + 1; j < n; j++) { if (((mask >> j) & 1) == 0) { continue; } dp[mask ^ (1 << j)] += dp[mask] * p[i][j] / countPairs; dp[mask ^ (1 << i)] += dp[mask] * p[j][i] / countPairs; } } } for (int i = 0; i < n; i++) { out.print(dp[1 << i] + " "); } } } class FastScanner extends BufferedReader { boolean isEOF; public FastScanner(InputStream is) { super(new InputStreamReader(is)); } public int read() { try { int ret = super.read(); if (isEOF && ret < 0) { throw new InputMismatchException(); } isEOF = ret == -1; return ret; } catch (IOException e) { throw new InputMismatchException(); } } public String next() { StringBuilder sb = new StringBuilder(); int c = read(); while (isWhiteSpace(c)) { c = read(); } while (!isWhiteSpace(c)) { sb.appendCodePoint(c); c = read(); } return sb.toString(); } static boolean isWhiteSpace(int c) { return c >= -1 && c <= 32; } public int nextInt() { int c = read(); while (isWhiteSpace(c)) { c = read(); } int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int ret = 0; while (!isWhiteSpace(c)) { if (c < '0' || c > '9') { throw new NumberFormatException("digit expected " + (char) c + " found"); } ret = ret * 10 + c - '0'; c = read(); } return ret * sgn; } public double nextDouble() { return Double.parseDouble(next()); } } class FastPrinter extends PrintWriter { public FastPrinter(OutputStream out) { super(out); } public FastPrinter(Writer out) { super(out); } }
np
16_E. Fish
CODEFORCES
import java.io.OutputStreamWriter; import java.io.BufferedWriter; import java.util.Locale; import java.io.OutputStream; import java.io.PrintWriter; import java.util.AbstractList; import java.io.Writer; import java.util.Collection; import java.util.List; import java.io.IOException; import java.util.Arrays; import java.util.InputMismatchException; import java.util.ArrayList; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * @author Jacob Jiang */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); OutputWriter out = new OutputWriter(outputStream); TaskE solver = new TaskE(); solver.solve(1, in, out); out.close(); } } class TaskE { public void solve(int testNumber, InputReader in, OutputWriter out) { int n = in.nextInt(); double[][] probability = in.next2DDoubleArray(n, n); double[] dp = new double[1 << n]; dp[dp.length - 1] = 1; for (int mask = (1 << n) - 1; mask >= 0; mask--) { int count = Integer.bitCount(mask); if (count <= 1) continue; double multi = 1. / calc(count); for (int i = 0; i < n; i++) { if (NumberUtils.checkBit(mask, i)) { for (int j = i + 1; j < n; j++) { if (NumberUtils.checkBit(mask, j)) { // i eat j dp[mask - (1 << j)] += multi * probability[i][j] * dp[mask]; // j eat i dp[mask - (1 << i)] += multi * probability[j][i] * dp[mask]; } } } } } double[] answer = new double[n]; for (int i = 0; i < n; i++) { answer[i] = dp[1 << i]; } out.printLine(ArrayUtils.asList(answer).toArray()); } private static int calc(int x) { return x * (x - 1) / 2; } } class InputReader { private InputStream stream; private byte[] buf = new byte[1024]; private int curChar; private int numChars; public InputReader(InputStream stream) { this.stream = stream; } public int read() { if (numChars == -1) throw new InputMismatchException(); if (curChar >= numChars) { curChar = 0; try { numChars = stream.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) return -1; } return buf[curChar++]; } public int nextInt() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c & 15; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public static boolean isSpaceChar(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } public double nextDouble() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } double res = 0; while (!isSpaceChar(c) && c != '.') { if (c == 'e' || c == 'E') return res * Math.pow(10, nextInt()); if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } if (c == '.') { c = read(); double m = 1; while (!isSpaceChar(c)) { if (c == 'e' || c == 'E') return res * Math.pow(10, nextInt()); if (c < '0' || c > '9') throw new InputMismatchException(); m /= 10; res += (c - '0') * m; c = read(); } } return res * sgn; } public double[] nextDoubleArray(int count) { double[] result = new double[count]; for (int i = 0; i < count; i++) { result[i] = nextDouble(); } return result; } public double[][] next2DDoubleArray(int n, int m) { double[][] result = new double[n][]; for (int i = 0; i < n; i++) { result[i] = nextDoubleArray(m); } return result; } } class OutputWriter { PrintWriter writer; public OutputWriter(OutputStream stream) { writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(stream))); } public OutputWriter(Writer writer) { this.writer = new PrintWriter(writer); } public void print(Object obj) { writer.print(obj); } public void println() { writer.println(); } public void print(char c) { writer.print(c); } public void close() { writer.close(); } public void printItems(Object... items) { for (int i = 0; i < items.length; i++) { if (i != 0) { print(' '); } print(items[i]); } } public void printLine(Object... items) { printItems(items); println(); } } class NumberUtils { public static boolean checkBit(int mask, int bit) { return (mask & (1 << bit)) != 0; } } class ArrayUtils { private ArrayUtils() { } public static List<Double> asList(double[] array) { return new DoubleList(array); } private static class DoubleList extends AbstractList<Double> { double[] array; private DoubleList(double[] array) { this.array = array; } public Double set(int index, Double element) { double result = array[index]; array[index] = element; return result; } public Double get(int index) { return array[index]; } public int size() { return array.length; } } }
np
16_E. Fish
CODEFORCES
import java.util.*; import java.io.*; public class Fish { public static void main(String[] args) throws Exception { new Fish(); } public Fish() throws Exception { Scanner sc = new Scanner(System.in); int N = sc.nextInt(); double[][] P = new double[N][N]; for(int i = 0; i < N; i++) for(int j = 0; j < N; j++) P[i][j] = sc.nextDouble(); double[] best = new double[1 << N]; best[(1 << N)-1] = 1; for(int mask = (1 << N)-1; mask > 0; mask--) { int C = Integer.bitCount(mask); if(C == 1) continue; for(int i = 0; i < N; i++) if (on(mask, i)) for(int j = i+1; j < N; j++) if(on(mask, j)) { int nmask = mask & ~(1 << j); best[nmask] += P[i][j] * best[mask] * 2.0 / (C*(C-1.0)); nmask = mask & ~(1 << i); best[nmask] += P[j][i] * best[mask] * 2.0/ (C*(C-1.0)); } } for(int i = 0; i < N; i++) System.out.printf("%.7f ", best[1 << i] + 1e-9); System.out.println(); } boolean on(int mask, int pos) { return (mask & (1 << pos)) > 0; } }
np
16_E. Fish
CODEFORCES
import java.util.Arrays; import java.util.Scanner; public class E { static double[] dp; static int[] oneCount; static int end; static int n; static double[][] prob; public static double solve(int mask) { if(mask==end) return 1; int oneC=0,zeroC=0; for(int i=0;i<n;i++) { if((mask|(1<<i))==mask) oneC++; else zeroC++; } double res=0; for(int i=0;i<n;i++) { if((mask|(1<<i))!=mask) continue; for(int j=0;j<n;j++) { // if((mask|(1<<j))==mask) continue; //System.out.println(i+" "+j+" "+prob[i][j]+" "+Integer.toBinaryString(mask)+" "+oneC+" "+zeroC); res+=(1.0/((oneC*(oneC+1))/2))*prob[i][j]*solve(mask|(1<<j)); } } return dp[mask]=res; } public static void main(String[] args) { Scanner sc=new Scanner(System.in); n=sc.nextInt(); prob=new double[n][n]; for(int i=0;i<n;i++) for(int j=0;j<n;j++) prob[i][j]=sc.nextDouble(); dp=new double[1<<n]; oneCount=new int[1<<n]; int c; for(int i=0;i<dp.length;i++) { c=0; for(int j=0;j<n;j++) { if((i|(1<<j))==i) c++; } oneCount[i]=c; } end=(1<<n)-1; double res,rad; int count; for(int k=end;k>0;k--) { if(k==end) dp[k]=1; else { res=0; count=oneCount[k]; count=count*(count+1); count>>=1; rad=1.0/count; //System.out.println(rad+" "+count); for(int i=0;i<n;i++) { if((k|(1<<i))!=k) continue; for(int j=0;j<n;j++) { // if((k|(1<<j))==k) continue; //System.out.println(i+" "+j+" "+prob[i][j]+" "+Integer.toBinaryString(mask)+" "+oneC+" "+zeroC); res+=rad*prob[i][j]*dp[k|(1<<j)]; } } dp[k]=res; } } //Arrays.fill(dp, -1); for(int i=0;i<n;i++) System.out.print(dp[1<<i]+" "); //System.out.print(solve(1<<i)+" "); // for(int i=0;i<18;i++){ // for(int k=0;k<18;k++) // System.out.print(Math.random()+" "); // System.out.println(); // } } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; import static java.lang.Math.*; import static java.util.Arrays.fill; import static java.util.Arrays.binarySearch; import static java.util.Arrays.sort; public class Main { public static void main(String[] args) throws IOException { try { if (new File("input.txt").exists()) { System.setIn(new FileInputStream("input.txt")); } } catch (SecurityException e) { } new Main().run(); } BufferedReader in; PrintWriter out; StringTokenizer st = new StringTokenizer(""); void run() throws IOException { in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); int N = nextInt(); double[][] a = new double [N][N]; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) a[i][j] = nextDouble(); int NN = 1 << N; double[] dp = new double [NN]; dp[NN - 1] = 1.0; for (int mask = NN - 1; mask > 0; mask--) { int b = Integer.bitCount(mask); if (b <= 1) continue; double k = 2.0 / (b * (b - 1)); for (int i = 0; i < N; i++) { if ((mask & (1 << i)) == 0) continue; for (int j = i + 1; j < N; j++) { if ((mask & (1 << j)) == 0) continue; double p = a[i][j]; dp[mask & (~(1 << j))] += k * p * dp[mask]; dp[mask & (~(1 << i))] += k * (1.0 - p) * dp[mask]; } } } out.printf(Locale.US, "%.8f", dp[1]); for (int i = 1, ind = 2; i < N; ind <<= 1, i++) out.printf(Locale.US, " %.8f", dp[ind]); out.println(); out.close(); } String nextToken() throws IOException { while (!st.hasMoreTokens()) { st = new StringTokenizer(in.readLine()); } return st.nextToken(); } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } String nextLine() throws IOException { st = new StringTokenizer(""); return in.readLine(); } boolean EOF() throws IOException { while (!st.hasMoreTokens()) { String s = in.readLine(); if (s == null) return true; st = new StringTokenizer(s); } return false; } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; public class Main { static Scanner in; static PrintWriter out; // static StreamTokenizer in; static int next() throws Exception {in.nextToken(); return (int) in.nval;} public static void main(String[] args) throws Exception { in = new Scanner(System.in); out = new PrintWriter(System.out); // in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in))); int n = in.nextInt(); double[][] p = new double[n][n]; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) p[i][j] = in.nextDouble(); double[] q = new double[1 << n]; q[(1 << n) - 1] = 1; for (int mask = (1 << n) - 1; mask > 0; mask--) { int count = 0; for (int t = 0; t < n; t++) if (((1 << t) & mask) != 0) count++; if (count <= 1) continue; count = count*(count - 1)/2; for (int t = 0; t < n; t++) if (((1 << t) & mask) != 0) for (int s = 0; s < t; s++) if (((1 << s) & mask) != 0) { q[mask - (1 << t)] += q[mask] / count * p[s][t]; q[mask - (1 << s)] += q[mask] / count * p[t][s]; } } for (int i = 0; i < n; i++) out.print(q[1 << i] + " "); out.close(); } }
np
16_E. Fish
CODEFORCES
import java.awt.Point; import java.io.*; import java.math.BigInteger; import java.util.*; import static java.lang.Math.*; public class BetaRound16_E implements Runnable { BufferedReader in; PrintWriter out; StringTokenizer tok = new StringTokenizer(""); public static void main(String[] args) { new Thread(null, new BetaRound16_E(), "", 256 * (1L << 20)).start(); } public void run() { try { long t1 = System.currentTimeMillis(); if (System.getProperty("ONLINE_JUDGE") != null) { in = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(System.out); } else { in = new BufferedReader(new FileReader("input.txt")); out = new PrintWriter("output.txt"); } Locale.setDefault(Locale.US); solve(); in.close(); out.close(); long t2 = System.currentTimeMillis(); System.err.println("Time = " + (t2 - t1)); } catch (Throwable t) { t.printStackTrace(System.err); System.exit(-1); } } String readString() throws IOException { while (!tok.hasMoreTokens()) { tok = new StringTokenizer(in.readLine()); } return tok.nextToken(); } int readInt() throws IOException { return Integer.parseInt(readString()); } long readLong() throws IOException { return Long.parseLong(readString()); } double readDouble() throws IOException { return Double.parseDouble(readString()); } // solution double[] p; int n; double[][] a; void solve() throws IOException { n = readInt(); a = new double[n][n]; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { a[i][j] = readDouble(); } } p = new double[1 << n]; Arrays.fill(p, -1); p[(1 << n) - 1] = 1; for (int i = 0; i < n; i++) { out.printf("%.12f ", p(1 << i)); } } double p(int mask) { if (p[mask] != -1) return p[mask]; double ans = 0; for (int eaten = 0; eaten < n; eaten++) { int prev = mask | (1 << eaten); if (prev != mask) { for (int eats = 0; eats < n; eats++) { if ((mask & (1 << eats)) != 0) { ans += a[eats][eaten] * p(prev); } } } } int bc = Integer.bitCount(mask); int norm = bc * (bc + 1) / 2; return p[mask] = ans / norm; } }
np
16_E. Fish
CODEFORCES
// by agus.mw import java.util.*; import java.io.*; public class Main{ public static void main(String[] args) throws Exception { new Main().doWork(); } void doWork() throws Exception{ BufferedReader reader = new BufferedReader(new InputStreamReader(System.in)); BufferedWriter writer = new BufferedWriter(new OutputStreamWriter(System.out)); int ncase = Integer.valueOf(reader.readLine()); double[][] p = new double[ncase][]; for(int icase=0;icase<ncase;icase++){ p[icase] = toDoubleArray(reader.readLine()); } double[] prob = new double[1<<ncase]; prob[0] = 1; for(int x=0;x<(1<<ncase);x++){ double cp = prob[x]; int count = 0; for(int i=0;i<ncase;i++){ if((x&(1<<i))!=0) continue; count ++; } if(count == 1) continue; double np = cp*2.0/(count)/(count-1); for(int i=0;i<ncase;i++){ if((x&(1<<i))!=0) continue; for(int j=i+1;j<ncase;j++){ if((x&(1<<j))!=0) continue; prob[x^(1<<j)] += np*p[i][j]; prob[x^(1<<i)] += np*p[j][i]; } } } String out = ""; for(int i=0;i<ncase;i++){ if(i>0) out += " "; int index = ((1<<ncase)-1)^(1<<i); out += String.format("%.6f",prob[index]); } out += "\r\n"; writer.write(out,0,out.length()); writer.flush(); writer.close(); reader.close(); } String process(){ return "1"; } double[] toDoubleArray(String line){ String[] p = line.split("[ ]+"); double[] out = new double[p.length]; for(int i=0;i<p.length;i++) out[i] = Double.valueOf(p[i]); return out; } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; import static java.util.Arrays.*; public class E implements Runnable { public static void main(String[] args) throws IOException { new Thread(null, new E(), "", 1 << 20).start(); } BufferedReader input; PrintWriter out; String file = "input"; public void run() { try { //input = new BufferedReader(new FileReader(file + ".in")); input = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(new BufferedOutputStream(System.out)); solve(); out.close(); } catch(Exception e) { e.printStackTrace(); System.exit(1); } } void solve() throws IOException { int n = Integer.parseInt(input.readLine()); double[][] p = new double[n][n]; for(int i = 0; i < n; i++) { StringTokenizer st = new StringTokenizer(input.readLine()); for(int j = 0; j < n; j++) { p[i][j] = Double.parseDouble(st.nextToken()); } } double[] dp = new double[1 << n]; int mask = (1 << n) - 1; dp[mask] = 1; for(int w = mask; w > 0; w--) { int count = 0; for(int i = 0; i < n; i++) for(int j = i + 1; j < n; j++) if((w >> i & 1) != 0 && (w >> j & 1) != 0) count++; if(count == 0) continue; for(int i = 0; i < n; i++) for(int j = i + 1; j < n; j++) if((w >> i & 1) != 0 && (w >> j & 1) != 0) { dp[w ^ (1 << i)] += 1.0 / count * p[j][i] * dp[w]; dp[w ^ (1 << j)] += 1.0 / count * p[i][j] * dp[w]; } } for(int i = 0; i < n; i++) System.out.print(dp[1 << i] + " "); } }
np
16_E. Fish
CODEFORCES
import java.io.*; import java.util.*; public class f { static int n; static double[][] g; public static void main(String[] args) throws IOException { input.init(System.in); PrintWriter out = new PrintWriter(System.out); n = input.nextInt(); g = new double[n][n]; for(int i = 0; i<n; i++) for(int j = 0; j<n; j++) g[i][j] = input.nextDouble(); for(int i = 0; i<n; i++) for(int j = 0; j<n; j++) g[j][i] = 1 - g[i][j]; for(int i = 0; i<n; i++) { double[] dp = new double[1<<n]; for(int mask = 0; mask < (1<<n); mask++) { if((mask & (1<<i)) == 0) { dp[mask] = 0; continue; } if(mask == (1<<i)) { dp[mask] = 1; continue; } int count = Integer.bitCount(mask); double prob = 1.0 / (count * (count-1)/2); for(int a = 0; a<n; a++) { if((mask & (1<<a)) == 0) continue; for(int b = a+1; b<n; b++) { if((mask & (1<<b)) == 0) continue; double p = g[a][b] * dp[mask ^ (1<<b)] + g[b][a] * dp[mask ^ (1<<a)]; dp[mask] += p; } } dp[mask] *= prob; } out.print(dp[(1<<n)-1]+" "); } out.close(); } public static class input { static BufferedReader reader; static StringTokenizer tokenizer; static void init(InputStream input) { reader = new BufferedReader(new InputStreamReader(input)); tokenizer = new StringTokenizer(""); } static String next() throws IOException { while (!tokenizer.hasMoreTokens()) tokenizer = new StringTokenizer(reader.readLine()); return tokenizer.nextToken(); } static int nextInt() throws IOException { return Integer.parseInt(next()); } static double nextDouble() throws IOException { return Double.parseDouble(next()); } static long nextLong() throws IOException { return Long.parseLong(next()); } } }
np
16_E. Fish
CODEFORCES
/** * Created by IntelliJ IDEA. * User: aircube * Date: 11.01.11 * Time: 4:14 * To change this template use File | Settings | File Templates. */ import java.io.*; import java.math.BigInteger; import java.util.*; import java.util.concurrent.Exchanger; public class Template { BufferedReader br; PrintWriter out; StringTokenizer st; public static void main(String[] args) throws IOException { new Template().run(); } void run() throws IOException { br = new BufferedReader(new InputStreamReader(System.in)); st = null; out = new PrintWriter(System.out); solve(); br.close(); out.close(); } double dm[]; double a[][]; boolean fil[]; int p[]; int n; // x & (x - 1) // 10 // void solve() throws IOException { n = nextInt(); a = new double[n][n]; for(int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { a[i][j] = nextDouble(); } dm = new double[1 << n]; fil = new boolean[1 << n]; for(int i = 0; i < n; ++i) { out.print(brute((1 << i)) + " "); } } private double brute(int mask) { if (Integer.bitCount(mask) == n) return 1; if (fil[mask]) return dm[mask]; int c = Integer.bitCount(mask); double res = 0; double p = 2.0 / (double) (c + 1) / (double)(c ) ; for(int i = 0; i < n; ++i) { for(int j = 0; j < n; ++j) { if ((mask & (1 << i)) == 0 && (mask & (1 << j)) > 0) { res += a[j][i] * brute(mask ^ (1 << i)); } } } res *= p; dm[mask] = res; fil[mask] = true; return dm[mask]; } int nextInt() throws IOException { return Integer.parseInt(nextToken()); } double nextDouble() throws IOException { return Double.parseDouble(nextToken()); } long nextLong() throws IOException { return Long.parseLong(nextToken()); } String nextToken() throws IOException { while (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }
np
16_E. Fish
CODEFORCES