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| 1 | +// Time: 654 ms |
| 2 | +// Memory: 1100 KB |
| 3 | +// Map. |
| 4 | +// T:O(n), S:O(n) |
| 5 | +// |
| 6 | +import java.util.ArrayList; |
| 7 | +import java.util.Collections; |
| 8 | +import java.util.HashMap; |
| 9 | +import java.util.List; |
| 10 | +import java.util.Scanner; |
| 11 | + |
| 12 | +public class Codeforces_0165A_Supercentral_Point { |
| 13 | + public static void main(String[] args) { |
| 14 | + Scanner sc = new Scanner(System.in); |
| 15 | + int n = sc.nextInt(), ret = 0; |
| 16 | + HashMap<Integer, List<Integer>> xAxios = new HashMap<>(), yAxios = new HashMap<>(); |
| 17 | + int[][] points = new int[n][2]; |
| 18 | + for (int i = 0; i < n; i++) { |
| 19 | + int x = sc.nextInt(), y = sc.nextInt(); |
| 20 | + if (!xAxios.containsKey(y)) { |
| 21 | + xAxios.put(y, new ArrayList<>()); |
| 22 | + } |
| 23 | + xAxios.get(y).add(x); |
| 24 | + if (!yAxios.containsKey(x)) { |
| 25 | + yAxios.put(x, new ArrayList<>()); |
| 26 | + } |
| 27 | + yAxios.get(x).add(y); |
| 28 | + points[i] = new int[]{x, y}; |
| 29 | + } |
| 30 | + for (int key : xAxios.keySet()) { |
| 31 | + Collections.sort(xAxios.get(key)); |
| 32 | + } |
| 33 | + for (int key : yAxios.keySet()) { |
| 34 | + Collections.sort(yAxios.get(key)); |
| 35 | + } |
| 36 | + for (int i = 0; i < n; i++) { |
| 37 | + int x = points[i][0], y = points[i][1]; |
| 38 | + List<Integer> yLine = yAxios.get(x), xLine = xAxios.get(y); |
| 39 | + boolean y1 = false, y2 = false, x1 = false, x2 = false; |
| 40 | + if (yLine.get(0) < y) { |
| 41 | + y1 = true; |
| 42 | + } |
| 43 | + if (yLine.get(yLine.size() - 1) > y) { |
| 44 | + y2 = true; |
| 45 | + } |
| 46 | + if (xLine.get(0) < x) { |
| 47 | + x1 = true; |
| 48 | + } |
| 49 | + if (xLine.get(xLine.size() - 1) > x) { |
| 50 | + x2 = true; |
| 51 | + } |
| 52 | + |
| 53 | + if (x1 && x2 && y1 && y2) { |
| 54 | + ret++; |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + System.out.println(ret); |
| 59 | + } |
| 60 | +} |
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