package contest220610; import java.io.*; import java.util.ArrayDeque; import java.util.Arrays; import java.util.InputMismatchException; import java.util.Queue; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class F { InputStream is; FastWriter out; String INPUT = ""; public void solve() { // 最大値じゃないのか… // 中心同士をつなぐとよさそう // even,evenで直径が同じなら、直径+1 // even,oddでeven=odd-1, even=odd+1なら、直径+1 // odd,oddで直径が同じなら直径+2 // odd-odd=2ならmax+1 int n = ni(); int[] from = new int[n - 1]; int[] to = new int[n - 1]; for (int i = 0; i < n - 1; i++) { from[i] = ni() - 1; to[i] = ni() - 1; } int[][] g = packU(n, from, to); int[][] pars = parents(g, 0); int[] par = pars[0], ord = pars[1], dep = pars[2]; lf = LCAFast2.build(g, 0); Datum[][] du = omnidirectionalTreeDP(g, par, ord); int ans = Integer.MAX_VALUE; for(int i = 1;i < n;i++){ int x = du[0][i].diam; int y = du[1][i].diam; if(x > y){ int d = x; x = y; y = d; } if(x % 2 == 0 && y % 2 == 0){ ans = Math.min(ans, x == y ? y + 1 : y); }else if(x % 2 == 1 && y % 2 == 1){ if(x == y){ ans = Math.min(ans, y+2); }else if(y == x + 2){ ans = Math.min(ans, y+1); }else{ ans = Math.min(ans, y); } }else{ if(y == x + 1){ ans = Math.min(ans, y+1); }else{ ans = Math.min(ans, y); } } } out.println(ans); } public static class Datum { int arg1, arg2; int diam; public Datum() { } public Datum(int cur) { arg1 = arg2 = cur; diam = 0; } @Override public String toString() { return "Datum{" + "arg1=" + arg1 + ", arg2=" + arg2 + ", diam=" + diam + '}'; } } public static Datum zero = new Datum(); public static LCAFast2 lf; public static Datum merge(Datum a, Datum b) { Datum ret = new Datum(); int d = -1; if(a.diam > d){ d = a.diam; ret.arg1 = a.arg1; ret.arg2 = a.arg2; } if(b.diam > d){ d = b.diam; ret.arg1 = b.arg1; ret.arg2 = b.arg2; } for(int u : new int[]{a.arg1, a.arg2}){ for(int v : new int[]{b.arg1, b.arg2}){ int td = lf.d(u, v); if(td > d){ d = td; ret.arg1 = u; ret.arg2 = v; } } } ret.diam = d; return ret; } public static Datum promote(Datum d, int... e) { return merge(d, new Datum(e[0])); } public static Datum[][] omnidirectionalTreeDP(int[][] g, int[] par, int[] ord) { int n = g.length; int root = ord[0]; Datum[] dp = new Datum[n]; // up for (int i = n - 1; i >= 0; i--) { int cur = ord[i]; Datum ldp = new Datum(cur); for (int e : g[cur]) { if (par[cur] == e) continue; ldp = merge(ldp, promote(dp[e], e)); } dp[cur] = ldp; } // down Datum[] prefix = new Datum[n + 1]; Datum[] fall = new Datum[n]; Datum[] down = new Datum[n]; fall[root] = zero; for (int i = 0; i < n; i++) { int cur = ord[i]; prefix[0] = zero; Datum suffix = merge(new Datum(cur), fall[cur]); for (int j = 0; j < g[cur].length; j++) { int e = g[cur][j]; prefix[j + 1] = par[cur] == e ? prefix[j] : merge(prefix[j], promote(dp[e], e)); } for (int j = 0; j < g[cur].length; j++) { int e = g[cur][g[cur].length - 1 - j]; if (par[cur] != e) { down[e] = merge(prefix[g[cur].length - 1 - j], suffix); fall[e] = promote(down[e], e); } suffix = par[cur] == e ? suffix : merge(suffix, promote(dp[e], e)); } } return new Datum[][]{dp, down}; } public static class LCAFast2 { public int n, h; public int[][] bigst; public int[][] bigind; public long[][] smallb; public int[] vs, first, deps; public int lca(int a, int b) { return vs[rmqpos(Math.min(first[a], first[b]), Math.max(first[a], first[b]))]; } public int pointOnPath(int a, int b, int dfroma) { int lca = lca(a, b); if (dfroma <= dep(a) - dep(lca)) { return anc(a, dfroma); } int dfromb = dep(b) - dep(lca) - (dfroma - (dep(a) - dep(lca))); if (dfromb < 0) return -1; return anc(b, dfromb); } public int anc(int a, int d) { int da = dep(a); if (da < d) return -1; int danc = da - d; int low = 0, high = first[a] + 1; while (high - low > 1) { int h = high + low >> 1; if (rmqval(h, first[a]) <= danc) { low = h; } else { high = h; } } return vs[low]; } public int d(int a, int b) { return dep(a) + dep(b) - 2 * rmqval(Math.min(first[a], first[b]), Math.max(first[a], first[b])); } public int dep(int x) { return deps[first[x]]; } public int rmqpos(int l, int r) { if (l > r) return -1; int cl = l >>> 6; int cr = r >>> 6; if (cl == cr) { return argmax(smallb[l & 63][cl], r - l + 1) + l; } else { int min = deps[l] - max(smallb[l & 63][cl], 63 - (l & 63) + 1); int pos = argmax(smallb[l & 63][cl], 63 - (l & 63) + 1) + l; { int can = deps[r >>> 6 << 6] - max(smallb[0][cr], (r & 63) - 0 + 1); if (can < min) { min = can; pos = argmax(smallb[0][cr], (r & 63) - 0 + 1) + (r >>> 6 << 6); } } if (cl + 1 <= cr - 1) { int len = (cr - 1) - (cl + 1) + 1; int h = 31 - Integer.numberOfLeadingZeros(len); { int can = bigst[h][cl + 1]; if (can < min) { min = can; pos = bigind[h][cl + 1]; } } { int can = bigst[h][cr - 1 - (1 << h) + 1]; if (can < min) { min = can; pos = bigind[h][cr - 1 - (1 << h) + 1]; } } } return pos; } } public int rmqval(int l, int r) { if (l > r) return -1; int cl = l >>> 6; int cr = r >>> 6; if (cl == cr) { return deps[l] - max(smallb[l & 63][cl], r - l + 1); } else { int min = deps[l] - max(smallb[l & 63][cl], 63 - (l & 63) + 1); min = Math.min(min, deps[r >>> 6 << 6] - max(smallb[0][cr], (r & 63) - 0 + 1)); if (cl + 1 <= cr - 1) { int len = (cr - 1) - (cl + 1) + 1; int h = 31 - Integer.numberOfLeadingZeros(len); min = Math.min(min, bigst[h][cl + 1]); min = Math.min(min, bigst[h][cr - 1 - (1 << h) + 1]); } return min; } } public static LCAFast2 build(int[][] g, int root) { LCAFast2 ret = new LCAFast2(); int[][] et = eulerTour(g, root); int[] vs = et[0], deps = et[1], first = et[2]; ret.vs = vs; ret.first = first; ret.deps = deps; int n = deps.length; int u = n + 63 >>> 6; int h = 31 - Integer.numberOfLeadingZeros(u) + 1; int[][] bigst = new int[h][]; int[][] bigind = new int[h][]; int[] cup = new int[u]; int[] cupind = new int[u]; Arrays.fill(cup, Integer.MAX_VALUE); for (int i = 0; i < n; i++) { if (deps[i] < cup[i >>> 6]) { cup[i >>> 6] = deps[i]; cupind[i >>> 6] = i; } } bigst[0] = cup; bigind[0] = cupind; for (int i = 1; i < h; i++) { bigst[i] = new int[u - (1 << i) + 1]; bigind[i] = new int[u - (1 << i) + 1]; for (int j = 0; j + (1 << i) <= u; j++) { if (bigst[i - 1][j] < bigst[i - 1][j + (1 << i - 1)]) { bigst[i][j] = bigst[i - 1][j]; bigind[i][j] = bigind[i - 1][j]; } else { bigst[i][j] = bigst[i - 1][j + (1 << i - 1)]; bigind[i][j] = bigind[i - 1][j + (1 << i - 1)]; } } } long[][] smallb = new long[64][u]; for (int i = 0; i < u; i++) { long x = 0; for (int j = 0; j < 63 && (i << 6 | j + 1) < n; j++) { if (deps[i << 6 | j] > deps[i << 6 | j + 1]) { x |= 1L << j; } } long val = 0; for (int j = 63; j >= 0; j--) { val <<= 1; if (x << ~j < 0) { val |= 1L; } else { val &= val - 1; } smallb[j][i] = val; } // // for(int j = 0;j < 64;j++){ // smallb[j][i] = make(x>>>j); // } } ret.n = n; ret.h = h; ret.bigst = bigst; ret.bigind = bigind; ret.smallb = smallb; return ret; } public static int[][] eulerTour(int[][] g, int root) { int n = g.length; int[] vs = new int[2 * n - 1]; int[] deps = new int[2 * n - 1]; int[] first = new int[n]; Arrays.fill(first, -1); int p = 0; int[] stack = new int[n]; int[] inds = new int[n]; int sp = 0; stack[sp++] = root; outer: while (sp > 0) { int cur = stack[sp - 1], ind = inds[sp - 1]; vs[p] = cur; deps[p] = sp - 1; if (first[cur] == -1) first[cur] = p; p++; while (ind < g[cur].length) { int nex = g[cur][ind++]; if (first[nex] == -1) { inds[sp - 1] = ind; stack[sp] = nex; inds[sp] = 0; sp++; continue outer; } } inds[sp - 1] = ind; if (ind == g[cur].length) sp--; } return new int[][]{vs, deps, first}; } // TinyRMQ public static long make(long x) { int h = 0; int max = 0; long ret = 0; for (int i = 0; i < 64; i++) { if (x << ~i < 0) { h++; } else { h--; } if (h > max) { max = h; ret |= 1L << i; } } return ret; } public static int max(long x, int r) { assert r > 0; return Long.bitCount(x & (1L << r - 1) - 1); } public static int argmax(long x, int r) { assert r > 0; return 64 - Long.numberOfLeadingZeros(x & (1L << r - 1) - 1); } } public static int[][] parents(int[][] g, int root) { int n = g.length; int[] par = new int[n]; Arrays.fill(par, -1); int[] depth = new int[n]; depth[0] = 0; int[] q = new int[n]; q[0] = root; for (int p = 0, r = 1; p < r; p++) { int cur = q[p]; for (int nex : g[cur]) { if (par[cur] != nex) { q[r++] = nex; par[nex] = cur; depth[nex] = depth[cur] + 1; } } } return new int[][]{par, q, depth}; } public static int[][] packU(int n, int[] from, int[] to) { return packU(n, from, to, from.length); } public static int[][] packU(int n, int[] from, int[] to, int sup) { int[][] g = new int[n][]; int[] p = new int[n]; for (int i = 0; i < sup; i++) p[from[i]]++; for (int i = 0; i < sup; i++) p[to[i]]++; for (int i = 0; i < n; i++) g[i] = new int[p[i]]; for (int i = 0; i < sup; i++) { g[from[i]][--p[from[i]]] = to[i]; g[to[i]][--p[to[i]]] = from[i]; } return g; } public static void main(String[] args) { new F().run(); } public void run() { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new FastWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } private boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private final byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } // private boolean isSpaceChar(int c) { return !(c >= 32 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } public static class FastWriter { private static final int BUF_SIZE = 1<<13; private final byte[] buf = new byte[BUF_SIZE]; private final OutputStream out; private int ptr = 0; private FastWriter(){out = null;} public FastWriter(OutputStream os) { this.out = os; } public FastWriter(String path) { try { this.out = new FileOutputStream(path); } catch (FileNotFoundException e) { throw new RuntimeException("FastWriter"); } } public FastWriter write(byte b) { buf[ptr++] = b; if(ptr == BUF_SIZE)innerflush(); return this; } public FastWriter write(char c) { return write((byte)c); } public FastWriter write(char[] s) { for(char c : s){ buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); } return this; } public FastWriter write(String s) { s.chars().forEach(c -> { buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); }); return this; } private static int countDigits(int l) { if (l >= 1000000000) return 10; if (l >= 100000000) return 9; if (l >= 10000000) return 8; if (l >= 1000000) return 7; if (l >= 100000) return 6; if (l >= 10000) return 5; if (l >= 1000) return 4; if (l >= 100) return 3; if (l >= 10) return 2; return 1; } public FastWriter write(int x) { if(x == Integer.MIN_VALUE){ return write((long)x); } if(ptr + 12 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } private static int countDigits(long l) { if (l >= 1000000000000000000L) return 19; if (l >= 100000000000000000L) return 18; if (l >= 10000000000000000L) return 17; if (l >= 1000000000000000L) return 16; if (l >= 100000000000000L) return 15; if (l >= 10000000000000L) return 14; if (l >= 1000000000000L) return 13; if (l >= 100000000000L) return 12; if (l >= 10000000000L) return 11; if (l >= 1000000000L) return 10; if (l >= 100000000L) return 9; if (l >= 10000000L) return 8; if (l >= 1000000L) return 7; if (l >= 100000L) return 6; if (l >= 10000L) return 5; if (l >= 1000L) return 4; if (l >= 100L) return 3; if (l >= 10L) return 2; return 1; } public FastWriter write(long x) { if(x == Long.MIN_VALUE){ return write("" + x); } if(ptr + 21 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } public FastWriter write(double x, int precision) { if(x < 0){ write('-'); x = -x; } x += Math.pow(10, -precision)/2; // if(x < 0){ x = 0; } write((long)x).write("."); x -= (long)x; for(int i = 0;i < precision;i++){ x *= 10; write((char)('0'+(int)x)); x -= (int)x; } return this; } public FastWriter writeln(char c){ return write(c).writeln(); } public FastWriter writeln(int x){ return write(x).writeln(); } public FastWriter writeln(long x){ return write(x).writeln(); } public FastWriter writeln(double x, int precision){ return write(x, precision).writeln(); } public FastWriter write(int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(IntUnaryOperator f, int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(f.applyAsInt(x)); } return this; } public FastWriter write(LongUnaryOperator f, long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(f.applyAsLong(x)); } return this; } public FastWriter writeln() { return write((byte)'\n'); } public FastWriter writeln(int... xs) { return write(xs).writeln(); } public FastWriter writeln(long... xs) { return write(xs).writeln(); } public FastWriter writeln(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); } public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, xs).writeln(); } public FastWriter writeln(char[] line) { return write(line).writeln(); } public FastWriter writeln(char[]... map) { for(char[] line : map)write(line).writeln();return this; } public FastWriter writeln(String s) { return write(s).writeln(); } private void innerflush() { try { out.write(buf, 0, ptr); ptr = 0; } catch (IOException e) { throw new RuntimeException("innerflush"); } } public void flush() { innerflush(); try { out.flush(); } catch (IOException e) { throw new RuntimeException("flush"); } } public FastWriter print(byte b) { return write(b); } public FastWriter print(char c) { return write(c); } public FastWriter print(char[] s) { return write(s); } public FastWriter print(String s) { return write(s); } public FastWriter print(int x) { return write(x); } public FastWriter print(long x) { return write(x); } public FastWriter print(double x, int precision) { return write(x, precision); } public FastWriter println(char c){ return writeln(c); } public FastWriter println(int x){ return writeln(x); } public FastWriter println(long x){ return writeln(x); } public FastWriter println(double x, int precision){ return writeln(x, precision); } public FastWriter print(int... xs) { return write(xs); } public FastWriter print(long... xs) { return write(xs); } public FastWriter print(IntUnaryOperator f, int... xs) { return write(f, xs); } public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); } public FastWriter println(int... xs) { return writeln(xs); } public FastWriter println(long... xs) { return writeln(xs); } public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); } public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, xs); } public FastWriter println(char[] line) { return writeln(line); } public FastWriter println(char[]... map) { return writeln(map); } public FastWriter println(String s) { return writeln(s); } public FastWriter println() { return writeln(); } } public static void trnz(int... o) { for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" "); System.out.println(); } // print ids which are 1 public static void trt(long... o) { Queue stands = new ArrayDeque<>(); for(int i = 0;i < o.length;i++){ for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x)); } System.out.println(stands); } public static void tf(boolean... r) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } public static void tf(boolean[]... b) { for(boolean[] r : b) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } System.out.println(); } public void tf(long[]... b) { if(INPUT.length() != 0) { for (long[] r : b) { for (long x : r) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } System.out.println(); } } public void tf(long... b) { if(INPUT.length() != 0) { for (long x : b) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } } private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }