231027 캠핑

Jongleee·2023년 10월 27일
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TIL

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public int solution(int n, int[][] data) {
	int[][] compressedData = compressCoordinates(n, data);
	int[][] prefixSum = calculatePrefixSum(n, compressedData);

	int answer = 0;
	for (int i = 0; i < n; i++) {
		for (int j = i + 1; j < n; j++) {
			if (compressedData[i][0] == compressedData[j][0] || compressedData[i][1] == compressedData[j][1]) {
				continue;
			}

			int startX = Math.min(compressedData[i][0], compressedData[j][0]);
			int startY = Math.min(compressedData[i][1], compressedData[j][1]);
			int endX = Math.max(compressedData[i][0], compressedData[j][0]);
			int endY = Math.max(compressedData[i][1], compressedData[j][1]);

			int cnt = calculateRectangleArea(startX, startY, endX, endY, prefixSum);
			if (cnt == 0) {
				answer++;
			}
		}
	}

	return answer;
}

private int[][] compressCoordinates(int n, int[][] data) {
	HashSet<Integer> uniqueXSet = new HashSet<>();
	HashSet<Integer> uniqueYSet = new HashSet<>();

	for (int i = 0; i < n; i++) {
		uniqueXSet.add(data[i][0]);
		uniqueYSet.add(data[i][1]);
	}

	ArrayList<Integer> uniqueXList = new ArrayList<>(uniqueXSet);
	ArrayList<Integer> uniqueYList = new ArrayList<>(uniqueYSet);

	Collections.sort(uniqueXList);
	Collections.sort(uniqueYList);

	int[][] compressedData = new int[n][2];

	for (int i = 0; i < n; i++) {
		compressedData[i][0] = uniqueXList.indexOf(data[i][0]);
		compressedData[i][1] = uniqueYList.indexOf(data[i][1]);
	}

	return compressedData;
}

private int[][] calculatePrefixSum(int n, int[][] compressedData) {
	int[][] prefixSum = new int[n][n];
	for (int i = 0; i < n; i++) {
		prefixSum[compressedData[i][0]][compressedData[i][1]] = 1;
	}
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			prefixSum[i][j] += (i - 1 >= 0 ? prefixSum[i - 1][j] : 0)
					+ (j - 1 >= 0 ? prefixSum[i][j - 1] : 0)
					- (i - 1 >= 0 && j - 1 >= 0 ? prefixSum[i - 1][j - 1] : 0);
		}
	}
	return prefixSum;
}

private int calculateRectangleArea(int startX, int startY, int endX, int endY, int[][] prefixSum) {
	if (startX + 1 > endX - 1 || startY + 1 > endY - 1) {
		return 0;
	}
	return prefixSum[endX - 1][endY - 1] - prefixSum[endX - 1][startY] - prefixSum[startX][endY - 1]
			+ prefixSum[startX][startY];
}

출처:https://school.programmers.co.kr/learn/courses/30/lessons/1833

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