やや出遅れ気味だけど私のプログラムと入力を晒しておきます。
Java で解いてみました。方針は以下のような感じで。
Core2Duo 3GHz な MacBook Pro で実行すると、読み込みも含めて 250msec, 読み込み終わった後の探索だけで 200msec前後。探索を２回呼び出すと、２回目は 50msec 前後。
package org.zakky.devfest2010.patchwork;
import java.awt.Point;
import java.io.BufferedReader;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.Iterator;
import java.util.List;
import java.util.concurrent.TimeUnit;
import com.google.common.collect.Iterables;
import com.google.common.collect.LinkedListMultimap;
import com.google.common.collect.ListMultimap;
import com.google.common.collect.Lists;
public final class PatchWorkSolver {
private static final String INPUT = "input";
private static final String INPUT_ENCODING = "iso-8859-1";
public static void main(String[] argv) throws Exception {
final long start = System.nanoTime();
final InputStream input = PatchWorkSolver.class
.getResourceAsStream(INPUT);
if (input == null) {
throw new RuntimeException("input data missing.");
}
final List<String> strData = Lists.newLinkedList();
try {
BufferedReader reader = new BufferedReader(new InputStreamReader(
input, INPUT_ENCODING));
try {
String line;
while ((line = reader.readLine()) != null) {
line = line.trim();
if (line.isEmpty()) {
continue;
}
strData.add(line);
}
} finally {
reader.close();
}
} finally {
input.close();
}
final long endReading = System.nanoTime();
final boolean[][] data = new boolean[strData.size()][];
int row = 0;
final Iterator<String> iterator = strData.iterator();
while (iterator.hasNext()) {
final String line = iterator.next();
data[row] = new boolean[line.length()];
for (int col = 0; col < line.length(); col++) {
char target = line.charAt(col);
// A なら true
data[row][col] = target == 'A';
}
row++;
}
final long endCreatingArray = System.nanoTime();
final int[] answer = new PatchWorkSolver(data).getAnswer();
final long end = System.nanoTime();
for (int i : answer) {
System.out.println(i);
}
// 同じ計算を２回したら時間がどうなるかをみてみる
final long start2 = System.nanoTime();
@SuppressWarnings("unused")
final int[] answer2 = new PatchWorkSolver(data).getAnswer();
final long end2 = System.nanoTime();
System.err.println("read(ms): "
+ TimeUnit.NANOSECONDS.toMillis(endReading - start));
System.err.println("array creation(ms): "
+ TimeUnit.NANOSECONDS.toMillis(endCreatingArray - endReading));
System.err.println("solving(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end - endCreatingArray));
System.err.println("solving2(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end2 - start2));
System.err.println("total time(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end - start));
}
final private boolean[][] data_;
final private boolean[][] done_;
// 面積から座標リストへのマップ
final ListMultimap<Integer, List<Point>> areaToPoints_ = LinkedListMultimap
.create();
public PatchWorkSolver(boolean[][] data) {
data_ = data;
done_ = new boolean[data.length][];
for (int row = 0; row < data.length; row++) {
done_[row] = new boolean[data[row].length];
}
}
public int[] getAnswer() {
int largest = 0;
for (int row = 0; row < data_.length; row++) {
for (int col = 0; col < data_[row].length; col++) {
if (done_[row][col]) {
continue;
}
final List<Point> points = getArea(row, col);
final int area = points.size(); // 面積
if (!points.isEmpty() && largest <= area) {
largest = area;
areaToPoints_.put(Integer.valueOf(area), points);
}
}
}
assert isAllDone(done_);
assert 0 < largest;
System.err.println("largest: " + largest);
final List<List<Point>> pointsList = areaToPoints_.get(Integer
.valueOf(largest));
System.err.println("areaCount: " + pointsList.size());
final Iterable<Point> points = Iterables.concat(pointsList);
final int[] answer = count(points, data_.length);
int filledCount = 0;
for (int i : answer) {
filledCount += i;
}
System.err.println("filled: " + filledCount);
return answer;
}
private boolean isAllDone(boolean[][] done) {
for (int row = 0; row < done.length; row++) {
for (int col = 0; col < done[row].length; col++) {
if (!done[row][col]) {
return false;
}
}
}
return true;
}
private List<Point> getArea(int row, int col) {
return getAreaInner(row, col, data_[row][col], Lists
.<Point> newArrayList());
}
private List<Point> getAreaInner(int row, int col, boolean currentTarget,
List<Point> points) {
if (row < 0 || data_.length <= row) {
// 上下にはみ出た場合
return points;
}
if (col < 0 || data_[row].length <= col) {
// 左右にはみ出た場合
return points;
}
if (data_[row][col] != currentTarget) {
// 対象領域ではない場合
return points;
}
if (done_[row][col]) {
// 処理済みの場合
return points;
}
done_[row][col] = true;
points.add(new Point(row, col));
points = getAreaInner(row - 1, col, currentTarget, points);
points = getAreaInner(row, col - 1, currentTarget, points);
points = getAreaInner(row + 1, col, currentTarget, points);
points = getAreaInner(row, col + 1, currentTarget, points);
return points;
}
private int[] count(Iterable<Point> points, int rowCount) {
final int[] answer = new int[rowCount];
for (Point p : points) {
final int rowIndex = p.x;
assert 0 <= rowIndex && rowIndex < rowCount;
answer[rowIndex]++;
}
return answer;
}
}
あとから気づいたんだけど、入力データを boolean の２次元配列にする意味はあまりなかった気がする。boolean にしてしまうことで３値以上に拡張できなくなるし、メモリも無駄。もしかしたらboolean配列ならキャッシュに収まるから速いとかあるかもしれないのであとで検証してみる。
3/1 0:43 追記。boolean にしない版です。変数名とかも少し変えました。実行時間は1割増な感じ。
package org.zakky.devfest2010.patchwork;
import java.awt.Point;
import java.io.BufferedReader;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.List;
import java.util.concurrent.TimeUnit;
import com.google.common.collect.Iterables;
import com.google.common.collect.LinkedListMultimap;
import com.google.common.collect.ListMultimap;
import com.google.common.collect.Lists;
public final class PatchWorkSolver {
private static final String INPUT = "input";
private static final String INPUT_ENCODING = "UTF-8";
public static void main(String[] argv) throws Exception {
final long start = System.nanoTime();
final InputStream input = PatchWorkSolver.class
.getResourceAsStream(INPUT);
if (input == null) {
throw new RuntimeException("input data missing.");
}
final List<String> strData = Lists.newLinkedList();
try {
BufferedReader reader = new BufferedReader(new InputStreamReader(
input, INPUT_ENCODING));
try {
String line;
while ((line = reader.readLine()) != null) {
line = line.trim();
if (line.isEmpty()) {
continue;
}
strData.add(line);
}
} finally {
reader.close();
}
} finally {
input.close();
}
final long endReading = System.nanoTime();
final String[] data = strData.toArray(new String[strData.size()]);
final long endCreatingArray = System.nanoTime();
final int[] answer = new PatchWorkSolver(data).getAnswer();
final long end = System.nanoTime();
for (int i : answer) {
System.out.println(i);
}
// 同じ計算を２回したら時間がどうなるかをみてみる
final long start2 = System.nanoTime();
@SuppressWarnings("unused")
final int[] answer2 = new PatchWorkSolver(data).getAnswer();
final long end2 = System.nanoTime();
System.err.println("read(ms): "
+ TimeUnit.NANOSECONDS.toMillis(endReading - start));
System.err.println("array creation(ms): "
+ TimeUnit.NANOSECONDS.toMillis(endCreatingArray - endReading));
System.err.println("solving(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end - endCreatingArray));
System.err.println("solving2(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end2 - start2));
System.err.println("total time(ms): "
+ TimeUnit.NANOSECONDS.toMillis(end - start));
}
final private String[] data_;
final private boolean[][] checked_;
// 面積から座標リストへのマップ
final ListMultimap<Integer, List<Point>> areaToPoints_ = LinkedListMultimap
.create();
public PatchWorkSolver(String[] data) {
data_ = data;
checked_ = new boolean[data.length][];
for (int row = 0; row < data.length; row++) {
checked_[row] = new boolean[data[row].length()];
}
}
public int[] getAnswer() {
int largest = 0;
for (int row = 0; row < data_.length; row++) {
for (int col = 0; col < data_[row].length(); col++) {
if (checked_[row][col]) {
continue;
}
final List<Point> points = getArea(row, col);
final int area = points.size(); // 面積
if (!points.isEmpty() && largest <= area) {
largest = area;
areaToPoints_.put(Integer.valueOf(area), points);
}
}
}
assert allChecked(checked_);
assert 0 < largest;
System.err.println("largest: " + largest);
final List<List<Point>> pointsList = areaToPoints_.get(Integer
.valueOf(largest));
System.err.println("areaCount: " + pointsList.size());
final Iterable<Point> points = Iterables.concat(pointsList);
final int[] answer = count(points, data_.length);
int filledCount = 0;
for (int i : answer) {
filledCount += i;
}
System.err.println("filled: " + filledCount);
return answer;
}
private boolean allChecked(boolean[][] done) {
for (int row = 0; row < done.length; row++) {
for (int col = 0; col < done[row].length; col++) {
if (!done[row][col]) {
return false;
}
}
}
return true;
}
private List<Point> getArea(int row, int col) {
return getAreaInner(row, col, data_[row].charAt(col), Lists
.<Point> newArrayList());
}
private List<Point> getAreaInner(int row, int col, char currentTarget,
List<Point> points) {
if (row < 0 || data_.length <= row) {
// 上下にはみ出た場合
return points;
}
if (col < 0 || data_[row].length() <= col) {
// 左右にはみ出た場合
return points;
}
if (data_[row].charAt(col) != currentTarget) {
// 対象領域ではない場合
return points;
}
if (checked_[row][col]) {
// 処理済みの場合
return points;
}
checked_[row][col] = true;
points.add(new Point(row, col));
points = getAreaInner(row - 1, col, currentTarget, points);
points = getAreaInner(row, col - 1, currentTarget, points);
points = getAreaInner(row + 1, col, currentTarget, points);
points = getAreaInner(row, col + 1, currentTarget, points);
return points;
}
private int[] count(Iterable<Point> points, int rowCount) {
final int[] answer = new int[rowCount];
for (Point p : points) {
final int rowIndex = p.x;
assert 0 <= rowIndex && rowIndex < rowCount;
answer[rowIndex]++;
}
return answer;
}
}
入力データも晒しておきます。
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つっこみ歓迎。