import java.util.Arrays; import java.util.Scanner; public class Main { private int[][] dice; private int score = (int) -1e18; private int[][] table; private int bestScore = (int) -1e18; private int[][] bestTable; private SAState sa = new SAState(); private int[][] counts_row = new int[6][6]; private int[][] counts_column = new int[6][6]; private int[] part_score_row = new int[6]; private int[] part_score_column = new int[6]; public static void main(String[] args) throws Exception { new Main().run(); } private void run() { read(); solve(); write(); } private void read() { try (final Scanner in = new Scanner(System.in)) { dice = new int[36][6]; for (int i = 0; i < 36; i++) { for (int j = 0; j < 6; j++) { dice[i][j] = in.nextInt() - 1; if (i == 0 && j == 0) { Constants.watch.init(); } } } } catch (Exception e) { e.printStackTrace(); } } private void solve() { greedy(); // GLS(); kick(); // Utils.debug(bestScore); } private void greedy() { table = new int[6][6]; bestTable = new int[6][6]; for (int i = 0; i < 6; i++) { for (int j = 0; j < 6; j++) { table[i][j] = i * 6 + j; } } score = calculateScore(); saveBest(); } private void saveBest() { if (score > bestScore) { bestScore = score; for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { bestTable[r][c] = table[r][c]; } } } } private void restoreBest() { score = bestScore; for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { table[r][c] = bestTable[r][c]; } } } private void kick() { sa.startTime = Constants.watch.getSecond(); sa.endTime = 1 * 1.75; int iterations = 0; final int mask = (1 << 5) - 1; sa.init(); for (;;) { boolean update = false; if ((++iterations & mask) == mask) { sa.update(); if (sa.isTLE()) { break; } } for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { for (int r22 = 0; r22 < 6; r22++) { for (int c22 = 0; c22 < 6; c22++) { int r1 = r; int c1 = c; int r2 = r22; int c2 = c22; if (r2 == r1 && c2 == c1) { continue; } int current1 = table[r1][c1]; int current2 = table[r2][c2]; int before = 0; before += part_score_row[r1]; if (r2 != r1) { before += part_score_row[r2]; } before += part_score_column[c1]; if (c2 != c1) { before += part_score_column[c2]; } table[r1][c1] = current2; table[r2][c2] = current1; int after_r1 = partScoreRow(counts_row, r1); int after_r2 = partScoreRow(counts_row, r2); int after_c1 = partScoreColumn(counts_column, c1); int after_c2 = partScoreColumn(counts_column, c2); int after = 0; after += after_r1; if (r2 != r1) { after += after_r2; } after += after_c1; if (c2 != c1) { after += after_c2; } int deltaScore = after - before; if (deltaScore > 0) { score += deltaScore; part_score_row[r1] = after_r1; part_score_row[r2] = after_r2; part_score_column[c1] = after_c1; part_score_column[c2] = after_c2; saveBest(); update = true; } else { table[r1][c1] = current1; table[r2][c2] = current2; } } } } } saveBest(); if (update) { continue; } restoreBest(); for (int i = 0; i < 4; i++) { int r1 = Constants.RNG.nextInt(6); int c1 = Constants.RNG.nextInt(6); int r2 = Constants.RNG.nextInt(6); int c2 = Constants.RNG.nextInt(6); while (r2 == r1 && c2 == c1) { r2 = Constants.RNG.nextInt(6); c2 = Constants.RNG.nextInt(6); } int current1 = table[r1][c1]; int current2 = table[r2][c2]; table[r1][c1] = current2; table[r2][c2] = current1; } score = calculateScore(); saveBest(); } } private void GLS() { sa.startTime = Constants.watch.getSecond(); sa.endTime = 1 * 1.75; final int[][][] penalties = new int[6][6][36]; for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { Arrays.fill(penalties[r][c], 1); } } int iterations = 0; final int mask = (1 << 5) - 1; sa.init(); for (;;) { if ((++iterations & mask) == mask) { sa.update(); if (sa.isTLE()) { break; } } double best = -1e9; int r0 = -1; int c0 = -1; for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { if (r == 0 && c == 0) { continue; } double util = 1.0 / (1.0 + part_score_row[r] + part_score_column[c]) / penalties[r][c][table[r][c]]; if (util > best) { best = util; r0 = r; c0 = c; } } } penalties[r0][c0][table[r0][c0]]++; for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { if (r == 0 && c == 0) { continue; } int r1 = r0; int c1 = c0; int r2 = r; int c2 = c; if (r2 == r1 && c2 == c1) { continue; } int current1 = table[r1][c1]; int current2 = table[r2][c2]; int before = 0; before += part_score_row[r1]; if (r2 != r1) { before += part_score_row[r2]; } before += part_score_column[c1]; if (c2 != c1) { before += part_score_column[c2]; } table[r1][c1] = current2; table[r2][c2] = current1; int after_r1 = partScoreRow(counts_row, r1); int after_r2 = partScoreRow(counts_row, r2); int after_c1 = partScoreColumn(counts_column, c1); int after_c2 = partScoreColumn(counts_column, c2); int after = 0; after += after_r1; if (r2 != r1) { after += after_r2; } after += after_c1; if (c2 != c1) { after += after_c2; } int deltaScore = after - before; table[r1][c1] = current1; table[r2][c2] = current2; int deltaPenalty = (penalties[r1][c1][table[r2][c2]] + penalties[r2][c2][table[r1][c1]]) - (penalties[r1][c1][table[r1][c1]] + penalties[r2][c2][table[r2][c2]]); if (deltaScore - 0.1 * deltaPenalty > 0) { table[r1][c1] = current2; table[r2][c2] = current1; score += deltaScore; part_score_row[r1] = after_r1; part_score_row[r2] = after_r2; part_score_column[c1] = after_c1; part_score_column[c2] = after_c2; saveBest(); } else { } } } } } private void multiSA() { int numRestart = 10; double startTime = Constants.watch.getSecond(); double endTime = 1 * 1.75; double remainTime = endTime - startTime; double startStartTemperature = 1; double endStartTemperature = 1e-9; for (double restart = 0; restart < numRestart; restart++) { sa.startTime = startTime + remainTime * restart / numRestart; sa.endTime = startTime + remainTime * (restart + 1) / numRestart; sa.startTemperature = endStartTemperature + (startStartTemperature - endStartTemperature) * ((numRestart - restart) / numRestart); sa.endTemperature = 1e-9; SA(); restoreBest(); } } private void SA() { sa.init(); for (;; ++sa.numIterations) { if ((sa.numIterations & ((1 << 10) - 1)) == 0) { sa.update(); if (sa.isTLE()) { break; } } mutate(); } } private void mutate() { change(); } private void change() { int v1 = sa.numIterations % 36; int r1 = v1 / 6; int c1 = v1 % 6; int r2 = Constants.RNG.nextInt(6); int c2 = Constants.RNG.nextInt(6); while (r2 == r1 && c2 == c1) { r2 = Constants.RNG.nextInt(6); c2 = Constants.RNG.nextInt(6); } int current1 = table[r1][c1]; int current2 = table[r2][c2]; int before = 0; before += part_score_row[r1]; if (r2 != r1) { before += part_score_row[r2]; } before += part_score_column[c1]; if (c2 != c1) { before += part_score_column[c2]; } table[r1][c1] = current2; table[r2][c2] = current1; int after_r1 = partScoreRow(counts_row, r1); int after_r2 = partScoreRow(counts_row, r2); int after_c1 = partScoreColumn(counts_column, c1); int after_c2 = partScoreColumn(counts_column, c2); int after = 0; after += after_r1; if (r2 != r1) { after += after_r2; } after += after_c1; if (c2 != c1) { after += after_c2; } int deltaScore = after - before; if (sa.accept(deltaScore)) { score += deltaScore; part_score_row[r1] = after_r1; part_score_row[r2] = after_r2; part_score_column[c1] = after_c1; part_score_column[c2] = after_c2; saveBest(); } else { table[r1][c1] = current1; table[r2][c2] = current2; } } private int calculateScore() { int score = 0; for (int r = 0; r < 6; r++) { final int partScoreRow = partScoreRow(counts_row, r); part_score_row[r] = partScoreRow; score += partScoreRow; } for (int c = 0; c < 6; c++) { final int partScoreColumn = partScoreColumn(counts_column, c); part_score_column[c] = partScoreColumn; score += partScoreColumn; } return score; } private int partScoreColumn(int[][] counts_column, int c) { Arrays.fill(counts_column[c], 0); int mask = (1 << 6) - 1; for (int r = 0; r < 6; r++) { int index = table[r][c]; int mask2 = 0; for (int i = 0; i < 6; i++) { counts_column[c][dice[index][i]]++; mask2 |= (1 << dice[index][i]); } mask &= mask2; } int part_score = 0; for (int i = 0; i < 6; i++) { if ((mask & (1 << i)) == 0) { continue; } part_score += 3; part_score += counts_column[c][i] - 6; } return part_score; } private int partScoreRow(int[][] counts_row, int r) { Arrays.fill(counts_row[r], 0); int mask = (1 << 6) - 1; for (int c = 0; c < 6; c++) { int index = table[r][c]; int mask2 = 0; for (int i = 0; i < 6; i++) { counts_row[r][dice[index][i]]++; mask2 |= (1 << dice[index][i]); } mask &= mask2; } int part_score = 0; for (int i = 0; i < 6; i++) { if ((mask & (1 << i)) == 0) { continue; } part_score += 3; part_score += counts_row[r][i] - 6; } return part_score; } private void write() { String[] s = new String[36]; for (int i = 0; i < s.length; i++) { s[i] = ""; } for (int r = 0; r < 6; r++) { for (int c = 0; c < 6; c++) { s[bestTable[r][c]] = (r + 1) + " " + (c + 1); } } StringBuilder sb = new StringBuilder(); for (int i = 0; i < 36; i++) { sb.append(s[i]).append('\n'); } System.out.print(sb.toString()); System.out.flush(); } } class SAState { public static final boolean useTime = true; public double startTime; public double endTime; public double time; public double startTemperature; public double endTemperature; public double inverseTemperature; public double lastAcceptTemperature; public double startRange; public double endRange; public double range; public int numIterations; public int validIterations; public int acceptIterations; private double[] log = new double[32768]; public SAState() { for (int i = 0; i < log.length; i++) { log[i] = Math.log((i + 0.5) / log.length); } } public void init() { numIterations = 0; validIterations = 0; acceptIterations = 0; startTime = useTime ? Constants.watch.getSecond() : numIterations; update(); lastAcceptTemperature = inverseTemperature; } public void update() { updateTime(); updateTemperature(); } public boolean useExp = !true; public void updateTemperature() { if (useExp) { double time0to1 = elapsedPercentage(startTime, endTime, time); double startY = startTemperature; double endY = endTemperature; double startX = Math.log(startY); double endX = Math.log(endY); double xStartToEnd = interpolate(startX, endX, time0to1); double temperature = Math.exp(xStartToEnd); inverseTemperature = 1.0 / temperature; } else { double time0to1 = elapsedPercentage(startTime, endTime, time); double startY = startTemperature; double endY = endTemperature; double temperature = interpolate(startY, endY, time0to1); inverseTemperature = 1.0 / temperature; } } private double elapsedPercentage(double min, double max, double v) { return (v - min) / (max - min); } private double interpolate(double v0, double v1, double d0to1) { return v0 + (v1 - v0) * d0to1; } public void updateRange() { range = endRange + (startRange - endRange) * Math.pow((endTime - time) / (endTime - startTime), 1.0); } public void updateTime() { time = useTime ? Constants.watch.getSecond() : numIterations; } public boolean isTLE() { return time >= endTime; } public boolean accept(double deltaScore) { return acceptB(deltaScore); } public boolean acceptB(double deltaScore) { validIterations++; if (deltaScore > -1e-9) { acceptIterations++; return true; } double d = deltaScore * inverseTemperature; if (d < -10) { return false; } if (log[Constants.RNG.nextInt() & 32767] < d) { acceptIterations++; lastAcceptTemperature = inverseTemperature; return true; } return false; } public boolean acceptS(double deltaScore) { validIterations++; if (deltaScore < 1e-9) { acceptIterations++; return true; } double d = -deltaScore * inverseTemperature; if (d < -10) { return false; } if (log[Constants.RNG.nextInt() & 32767] < d) { acceptIterations++; lastAcceptTemperature = inverseTemperature; return true; } return false; } } final class Utils { private Utils() { } public static final void debug(Object... o) { System.err.println(toString(o)); System.err.flush(); } public static final String toString(Object... o) { return Arrays.deepToString(o); } public static boolean isValid(int v, int min, int minUpper) { return v >= min && v < minUpper; } } class Watch { private long start; public Watch() { init(); } public double getSecond() { return (System.nanoTime() - start) * 1e-9; } public void init() { init(System.nanoTime()); } private void init(long start) { this.start = start; } public String getSecondString() { return toString(getSecond()); } public static final String toString(double second) { if (second < 60) { return String.format("%5.2fs", second); } else if (second < 60 * 60) { int minute = (int) (second / 60); return String.format("%2dm%2ds", minute, (int) (second % 60)); } else { int hour = (int) (second / (60 * 60)); int minute = (int) (second / 60); return String.format("%2dh%2dm%2ds", hour, minute % (60), (int) (second % 60)); } } } interface Constants { Watch watch = new Watch(); PCG_XSH_RR RNG = new PCG_XSH_RR(System.nanoTime()); } final class PCG_XSH_RR { private long state = 5342; public PCG_XSH_RR(final long state) { this.state = state; } public int nextInt() { final long oldstate = state; state = oldstate * 6364136223846793005L + 521L; final int xorshift = (int) (((oldstate >>> 18) ^ oldstate) >>> 27); final int rotation = (int) (oldstate >>> 59); return (xorshift >>> rotation) | (xorshift << (-rotation & 31)); } public int nextInt(int n) { return (int) (n * nextDouble()); } public double nextDouble() { return (nextInt() >>> 1) * 4.6566128730773926E-10; } }