結果
| 問題 | No.1976 Cut then Connect |
| ユーザー |
 uwi
|
| 提出日時 | 2022-06-10 22:12:17 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 639 ms / 2,000 ms |
| コード長 | 21,484 bytes |
| コンパイル時間 | 5,127 ms |
| コンパイル使用メモリ | 90,712 KB |
| 実行使用メモリ | 81,144 KB |
| 最終ジャッジ日時 | 2023-08-16 02:40:08 |
| 合計ジャッジ時間 | 16,691 ms |
|
ジャッジサーバーID （参考情報） |
judge12 / judge13 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 67 ms
50,392 KB |
| testcase_01 | AC | 67 ms
50,512 KB |
| testcase_02 | AC | 586 ms
74,868 KB |
| testcase_03 | AC | 420 ms
69,644 KB |
| testcase_04 | AC | 228 ms
58,980 KB |
| testcase_05 | AC | 365 ms
64,856 KB |
| testcase_06 | AC | 544 ms
73,320 KB |
| testcase_07 | AC | 395 ms
64,508 KB |
| testcase_08 | AC | 639 ms
81,144 KB |
| testcase_09 | AC | 581 ms
74,484 KB |
| testcase_10 | AC | 232 ms
58,748 KB |
| testcase_11 | AC | 629 ms
76,236 KB |
| testcase_12 | AC | 120 ms
55,588 KB |
| testcase_13 | AC | 584 ms
72,668 KB |
| testcase_14 | AC | 542 ms
72,824 KB |
| testcase_15 | AC | 530 ms
73,076 KB |
| testcase_16 | AC | 603 ms
72,144 KB |
| testcase_17 | AC | 285 ms
59,936 KB |
| testcase_18 | AC | 148 ms
55,964 KB |
| testcase_19 | AC | 563 ms
73,548 KB |
| testcase_20 | AC | 621 ms
75,952 KB |
| testcase_21 | AC | 463 ms
70,604 KB |
| testcase_22 | AC | 69 ms
50,504 KB |
| testcase_23 | AC | 71 ms
50,636 KB |
| testcase_24 | AC | 69 ms
48,908 KB |
| testcase_25 | AC | 70 ms
50,688 KB |
| testcase_26 | AC | 71 ms
50,704 KB |
| testcase_27 | AC | 71 ms
50,444 KB |
| testcase_28 | AC | 70 ms
50,648 KB |
| testcase_29 | AC | 70 ms
50,344 KB |
| testcase_30 | AC | 69 ms
50,464 KB |
| testcase_31 | AC | 71 ms
50,448 KB |
| testcase_32 | AC | 70 ms
50,428 KB |
ソースコード
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<Integer> 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)); }
}