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The Skyline Problem
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import java.util.*; | |
public class Solution { | |
public List<int[]> getSkyline(int[][] buildings) { | |
// idxes: idx -> list of (start(1) or end(0), building idx) | |
TreeMap<Integer, List<int[]>> idxes = new TreeMap<>(); | |
for (int i = 0; i < buildings.length; i++) { | |
int[] b = buildings[i]; | |
if (!idxes.containsKey(b[0])) idxes.put(b[0], new LinkedList<int[]>()); | |
if (!idxes.containsKey(b[1])) idxes.put(b[1], new LinkedList<int[]>()); | |
idxes.get(b[0]).add(new int[]{1, i}); // add start of i | |
idxes.get(b[1]).add(new int[]{0, i}); // add end of i | |
} | |
// ans: all turning points | |
LinkedList<int[]> ans = new LinkedList<int[]>(); | |
// bActive: active buildings | |
PriorityQueue<int[]> bActive = new PriorityQueue<>(1, new Comparator<int[]>(){ | |
public int compare(int[] a, int[] b) { | |
// compare heights, and ignore identical buildings | |
// (although we won't add a building twice) | |
return (a[2] > b[2])? -1: (a[2] < b[2])? 1: (a==b)? 0: 1; | |
} | |
}); | |
for (Map.Entry<Integer, List<int[]>> entry: idxes.entrySet()) { | |
int idx = entry.getKey(); | |
List<int[]> bs = entry.getValue(); | |
for (int[] bInfo: bs) { | |
if (bInfo[0] == 0) { | |
bActive.remove(buildings[bInfo[1]]); | |
} else { // bInfo[0] == 1 | |
bActive.add(buildings[bInfo[1]]); | |
} | |
} | |
if (bActive.isEmpty()) { // no active buildings | |
ans.add(new int[]{idx, 0}); | |
} else { | |
int h = bActive.peek()[2]; | |
if (ans.isEmpty() || ans.getLast()[1] != h) { | |
ans.add(new int[]{idx, h}); | |
} | |
} | |
} | |
return ans; | |
} | |
public static void main(String[] args) { | |
Scanner sc = new Scanner(System.in); | |
while (sc.hasNextInt()) { | |
int[][] bs = new int[sc.nextInt()][3]; | |
for (int i = 0; i < bs.length; i++) { | |
bs[i][0] = sc.nextInt(); | |
bs[i][1] = sc.nextInt(); | |
bs[i][2] = sc.nextInt(); | |
} | |
Solution sol = new Solution(); | |
List<int[]> ans = sol.getSkyline(bs); | |
StringBuilder buf = new StringBuilder("["); | |
for (int[] a: ans) { | |
buf.append("[" + a[0] + ", " + a[1] + "], "); | |
} | |
buf.setLength(buf.length() - 2); | |
buf.append("]"); | |
System.out.println(buf); | |
} | |
} | |
} | |
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