package _1137; import java.io.BufferedReader; import java.io.EOFException; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.UncheckedIOException; import java.lang.reflect.Array; import java.util.ArrayDeque; import java.util.Arrays; import java.util.Collections; import java.util.Deque; import java.util.HashMap; import java.util.Map; import java.util.Objects; import java.util.regex.Pattern; import java.util.stream.Collectors; public class Main { public void exec() { int n = stdin.nextInt(); int[] x = new int[n]; int[] r = new int[n]; for (int i = 0; i < n; i++) { x[i] = stdin.nextInt(); r[i] = stdin.nextInt(); } Map imos = new HashMap<>(); for (int i = 0; i < n; i++) { imos.compute(x[i]-r[i], (k, v) -> v == null ? 1 : v+1); imos.compute(x[i]+r[i], (k, v) -> v == null ? -1 : v-1); } int min = Collections.min(imos.keySet()); int max = Collections.max(imos.keySet()); for (int i = min; i <=max; i++) { if (imos.containsKey(i+1)) { imos.put(i+1, imos.get(i)+imos.get(i+1)); } else { imos.put(i+1, imos.get(i)); } } stdout.println(Collections.max(imos.values())); } private static final Stdin stdin = new Stdin(); private static final Stdout stdout = new Stdout(); public static void main(String[] args) { try { new Main().exec(); } finally { stdout.flush(); } } public static class Stdin { private BufferedReader stdin; private Deque tokens; private Pattern delim; public Stdin() { stdin = new BufferedReader(new InputStreamReader(System.in)); tokens = new ArrayDeque<>(); delim = Pattern.compile(" "); } public String nextString() { try { if (tokens.isEmpty()) { String line = stdin.readLine(); if (line == null) { throw new UncheckedIOException(new EOFException()); } delim.splitAsStream(line).forEach(tokens::addLast); } return tokens.pollFirst(); } catch (IOException e) { throw new UncheckedIOException(e); } } public int nextInt() { return Integer.parseInt(nextString()); } public double nextDouble() { return Double.parseDouble(nextString()); } public long nextLong() { return Long.parseLong(nextString()); } public String[] nextStringArray(int n) { String[] a = new String[n]; for (int i = 0; i < n; i++) a[i] = nextString(); return a; } public int[] nextIntArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public double[] nextDoubleArray(int n) { double[] a = new double[n]; for (int i = 0; i < n; i++) a[i] = nextDouble(); return a; } public long[] nextLongArray(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } } public static class Stdout { private PrintWriter stdout; public Stdout() { stdout = new PrintWriter(System.out, false); } public void printf(String format, Object ... args) { String line = String.format(format, args); if (line.endsWith(System.lineSeparator())) { stdout.print(line); } else { stdout.println(line); } } public void println(Object ... objs) { String line = Arrays.stream(objs).map(Objects::toString).collect(Collectors.joining(" ")); stdout.println(line); } public void printDebug(Object ... objs) { String line = Arrays.stream(objs).map(this::deepToString).collect(Collectors.joining(" ")); stdout.printf("DEBUG: %s%n", line); stdout.flush(); } private String deepToString(Object o) { if (o == null) { return "null"; } // 配列の場合 if (o.getClass().isArray()) { int len = Array.getLength(o); String[] tokens = new String[len]; for (int i = 0; i < len; i++) { tokens[i] = deepToString(Array.get(o, i)); } return "{" + String.join(",", tokens) + "}"; } return Objects.toString(o); } private void flush() { stdout.flush(); } } }