結果
| 問題 | No.1786 Maximum Suffix Median (Online) |
| ユーザー |
 uwi
|
| 提出日時 | 2021-12-31 12:29:45 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 22,768 bytes |
| コンパイル時間 | 6,278 ms |
| コンパイル使用メモリ | 94,652 KB |
| 実行使用メモリ | 70,724 KB |
| 最終ジャッジ日時 | 2024-04-16 23:18:58 |
| 合計ジャッジ時間 | 12,605 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge3 |
（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 | 81 ms
43,420 KB |
| testcase_01 | AC | 82 ms
37,796 KB |
| testcase_02 | AC | 84 ms
37,960 KB |
| testcase_03 | AC | 87 ms
38,168 KB |
| testcase_04 | AC | 85 ms
38,288 KB |
| testcase_05 | AC | 89 ms
38,016 KB |
| testcase_06 | AC | 86 ms
37,964 KB |
| testcase_07 | AC | 84 ms
38,104 KB |
| testcase_08 | TLE | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
ソースコード
package adv21;
import java.io.*;
import java.util.*;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
public class O3 {
InputStream is;
FastWriter out;
String INPUT = "";
static class Datum
{
long[] sorted;
int[] maxs;
Datum(int[] a, int l, int r)
{
long[] es = new long[r-l];
for(int i = l;i < r;i++){
es[i-l] = (long)a[i]<<32|r-1-i;
}
Arrays.sort(es);
this.sorted = es;
StarrySkyTree sst = new StarrySkyTree(r-l, i -> -(i+1));
maxs = new int[r-l+1];
for(int i = 0;i <= es.length;i++){
maxs[i] = -sst.mins[1];//(int)-sst.min(0, r-l);
if(i < es.length){
sst.add(((int)es[i]), r-l, 2);
}
}
}
int max;
int sum;
void maxsum(long v)
{
int lb = lowerBound(this.sorted, v<<32);
sum = sorted.length - lb * 2;
max = maxs[lb];
}
}
public void solve()
{
int n = ni();
int[] a = na(n);
int ans = 0;
Datum[] ds = new Datum[20];
Node root = null;
for(int i = 0;i < n;i++){
a[i] ^= ans;
// tr(a[i]);
int t = 0;
for(int d = 19;d >= 0;d--){
if(i+1<<~d<0){
if(ds[d] == null){
ds[d] = new Datum(a, t, t + (1<<d));
}
t += 1<<d;
}else{
ds[d] = null;
}
}
root = insertb(root, new Node(a[i]));
int lowi = 0, highi = count(root);
// long low = -1, high = (1L<<30) + 1;
outer:
while(highi - lowi > 1){
int hind = highi+lowi>>1;
long h = get(root, hind).v;
long max = -1;
long hi = 0;
for(int d = 0;d < 20;d++){
if(ds[d] != null){
ds[d].maxsum(h);
if(hi + ds[d].max >= 1){
lowi = hind;
continue outer;
}
max = Math.max(max, hi + ds[d].max);
hi += ds[d].sum;
// max = Math.max(max, hi + ds[d].max(h));
// hi += ds[d].sum(h);
if(max >= 1)break;
}
}
// tr(h, hi, max);
highi = hind;
}
ans = get(root, lowi).v;
out.println(ans);
}
}
public static int lowerBound(long[] a, long v)
{
int low = -1, high = a.length;
while(high-low > 1){
int h = high+low>>>1;
if(a[h] >= v){
high = h;
}else{
low = h;
}
}
return high;
}
public static void main(String[] args) {
new O3().run();
}
public static class StarrySkyTree {
public final int M, H, N, LH;
public int[] mins;
public int[] plus;
public static final int I = Integer.MAX_VALUE/4; // I+plus<long
public StarrySkyTree(int n)
{
N = n;
M = Integer.highestOneBit(Math.max(n-1, 1))<<2;
H = M>>>1;
LH = Integer.numberOfTrailingZeros(H);
mins = new int[M];
plus = new int[H];
}
public StarrySkyTree(int[] a)
{
this(a.length);
for(int i = 0;i < N;i++){
mins[H+i] = a[i];
}
Arrays.fill(mins, H+N, M, I);
for(int i = H-1;i >= 1;i--)propagate(i);
}
public StarrySkyTree(int n, IntUnaryOperator f)
{
this(n);
for(int i = 0;i < N;i++){
mins[H+i] = f.applyAsInt(i);
}
Arrays.fill(mins, H+N, M, I);
for(int i = H-1;i >= 1;i--)propagate(i);
}
private void push1(int cur)
{
if(plus[cur] == 0)return;
int L = cur*2, R = L + 1;
mins[L] += plus[cur];
mins[R] += plus[cur];
if(L < H){
plus[L] += plus[cur];
plus[R] += plus[cur];
}
plus[cur] = 0;
}
private void propagate(int i)
{
mins[i] = Math.min(mins[2*i], mins[2*i+1]) + plus[i];
}
private void add1(int cur, int v)
{
mins[cur] += v;
if(cur < H){
plus[cur] += v;
}
}
private void push(int l, int r)
{
for(int i = LH;i >= 1;i--) {
if (l >>> i << i != l) push1(l >>> i);
if (r >>> i << i != r) push1(r >>> i);
}
}
public void add(int l, int r, int v)
{
if(l >= r)return;
l += H; r += H;
push(l, r);
for(int ll = l, rr = r;ll < rr;ll>>>=1,rr>>>=1){
if((ll&1) == 1) add1(ll++, v);
if((rr&1) == 1) add1(--rr, v);
}
for(int i = 1;i <= LH;i++){
if(l>>>i<<i != l)propagate(l>>>i);
if(r>>>i<<i != r)propagate(r>>>i);
}
}
public int min(int l, int r){
int min = I;
if(l >= r)return min;
l += H; r += H;
push(l, r);
for(;l < r;l>>>=1,r>>>=1){
if((l&1) == 1)min = Math.min(min, mins[l++]);
if((r&1) == 1)min = Math.min(min, mins[--r]);
}
return min;
}
public long[] toArray() { return toArray(1, 0, H, new long[H]); }
private long[] toArray(int cur, int l, int r, long[] ret)
{
if(r-l == 1){
ret[cur-H] = mins[cur];
}else{
toArray(2*cur, l, l+r>>>1, ret);
toArray(2*cur+1, l+r>>>1, r, ret);
for(int i = l;i < r;i++)ret[i] += plus[cur];
}
return ret;
}
}
public static Random gen = new Random();
static public class Node
{
public int v; // value
public long priority;
public Node left, right, parent;
public int count;
public Node(int v)
{
this.v = v;
priority = gen.nextLong();
update(this);
}
@Override
public String toString() {
StringBuilder builder = new StringBuilder();
builder.append("Node [v=");
builder.append(v);
builder.append(", count=");
builder.append(count);
builder.append(", parent=");
builder.append(parent != null ? parent.v : "null");
builder.append("]");
return builder.toString();
}
}
public static Node update(Node a)
{
if(a == null)return null;
a.count = 1;
if(a.left != null)a.count += a.left.count;
if(a.right != null)a.count += a.right.count;
// TODO
return a;
}
public static void propagate(Node x)
{
for(;x != null;x = x.parent)update(x);
}
public static Node disconnect(Node a)
{
if(a == null)return null;
a.left = a.right = a.parent = null;
return update(a);
}
public static Node root(Node x)
{
if(x == null)return null;
while(x.parent != null)x = x.parent;
return x;
}
public static int count(Node a)
{
return a == null ? 0 : a.count;
}
public static void setParent(Node a, Node par)
{
if(a != null)a.parent = par;
}
public static Node merge(Node a, Node b, Node... c)
{
Node x = merge(a, b);
for(Node n : c)x = merge(x, n);
return x;
}
public static Node merge(Node a, Node b)
{
if(b == null)return a;
if(a == null)return b;
if(a.priority > b.priority){
setParent(a.right, null);
setParent(b, null);
a.right = merge(a.right, b);
setParent(a.right, a);
return update(a);
}else{
setParent(a, null);
setParent(b.left, null);
b.left = merge(a, b.left);
setParent(b.left, b);
return update(b);
}
}
public static Node[] split(Node x)
{
if(x == null)return new Node[]{null, null};
if(x.left != null)x.left.parent = null;
Node[] sp = new Node[]{x.left, x};
x.left = null;
update(x);
while(x.parent != null){
Node p = x.parent;
x.parent = null;
if(x == p.left){
p.left = sp[1];
if(sp[1] != null)sp[1].parent = p;
sp[1] = p;
}else{
p.right = sp[0];
if(sp[0] != null)sp[0].parent = p;
sp[0] = p;
}
update(p);
x = p;
}
return sp;
}
public static Node[] split(Node a, int... ks)
{
int n = ks.length;
if(n == 0)return new Node[]{a};
for(int i = 0;i < n-1;i++){
if(ks[i] > ks[i+1])throw new IllegalArgumentException(Arrays.toString(ks));
}
Node[] ns = new Node[n+1];
Node cur = a;
for(int i = n-1;i >= 0;i--){
Node[] sp = split(cur, ks[i]);
cur = sp[0];
ns[i] = sp[0];
ns[i+1] = sp[1];
}
return ns;
}
// [0,K),[K,N)
public static Node[] split(Node a, int K)
{
if(a == null)return new Node[]{null, null};
if(K <= count(a.left)){
setParent(a.left, null);
Node[] s = split(a.left, K);
a.left = s[1];
setParent(a.left, a);
s[1] = update(a);
return s;
}else{
setParent(a.right, null);
Node[] s = split(a.right, K-count(a.left)-1);
a.right = s[0];
setParent(a.right, a);
s[0] = update(a);
return s;
}
}
public static Node insertb(Node root, Node x)
{
int ind = lowerBound(root, x.v);
return insert(root, ind, x);
}
public static Node insert(Node a, int K, Node b)
{
if(a == null)return b;
if(b.priority < a.priority){
if(K <= count(a.left)){
a.left = insert(a.left, K, b);
setParent(a.left, a);
}else{
a.right = insert(a.right, K-count(a.left)-1, b);
setParent(a.right, a);
}
return update(a);
}else{
Node[] ch = split(a, K);
b.left = ch[0]; b.right = ch[1];
setParent(b.left, b);
setParent(b.right, b);
return update(b);
}
}
// delete K-th
public static Node erase(Node a, int K)
{
if(a == null)return null;
if(K < count(a.left)){
a.left = erase(a.left, K);
setParent(a.left, a);
return update(a);
}else if(K == count(a.left)){
setParent(a.left, null);
setParent(a.right, null);
Node aa = merge(a.left, a.right);
disconnect(a);
return aa;
}else{
a.right = erase(a.right, K-count(a.left)-1);
setParent(a.right, a);
return update(a);
}
}
public static Node get(Node a, int K)
{
while(a != null){
if(K < count(a.left)){
a = a.left;
}else if(K == count(a.left)){
break;
}else{
K = K - count(a.left)-1;
a = a.right;
}
}
return a;
}
public static int index(Node a)
{
if(a == null)return -1;
int ind = count(a.left);
while(a != null){
Node par = a.parent;
if(par != null && par.right == a){
ind += count(par.left) + 1;
}
a = par;
}
return ind;
}
public static Node mergeTechnically(Node x, Node y)
{
if(count(x) > count(y)){
Node d = x; x = y; y = d;
}
// |x|<=|y|
for(Node cur : nodesdfs(x))y = insertb(y, disconnect(cur));
return y;
}
public static int lowerBound(Node a, int q)
{
int lcount = 0;
while(a != null){
if(a.v >= q){
a = a.left;
}else{
lcount += count(a.left) + 1;
a = a.right;
}
}
return lcount;
}
public static int search(Node a, int q)
{
int lcount = 0;
while(a != null){
if(a.v == q){
lcount += count(a.left);
break;
}
if(q < a.v){
a = a.left;
}else{
lcount += count(a.left) + 1;
a = a.right;
}
}
return a == null ? -(lcount+1) : lcount;
}
public static Node next(Node x)
{
if(x == null)return null;
if(x.right != null){
x = x.right;
while(x.left != null)x = x.left;
return x;
}else{
while(true){
Node p = x.parent;
if(p == null)return null;
if(p.left == x)return p;
x = p;
}
}
}
public static Node prev(Node x)
{
if(x == null)return null;
if(x.left != null){
x = x.left;
while(x.right != null)x = x.right;
return x;
}else{
while(true){
Node p = x.parent;
if(p == null)return null;
if(p.right == x)return p;
x = p;
}
}
}
public static Node build(int[] a, int l, int r)
{
if(l >= r)return null;
int h = l+r>>1;
Node root = new Node(a[h]);
Node L = build(a, l, h);
root.left = L;
if(L != null)L.parent = root;
Node R = build(a, h+1, r);
root.right = R;
if(R != null)R.parent = root;
return update(root);
}
public static Node[] nodes(Node a) { return nodes(a, new Node[count(a)], 0, count(a)); }
public static Node[] nodes(Node a, Node[] ns, int L, int R)
{
if(a == null)return ns;
nodes(a.left, ns, L, L+count(a.left));
ns[L+count(a.left)] = a;
nodes(a.right, ns, R-count(a.right), R);
return ns;
}
// faster than nodes but inconsistent
public static Node[] nodesdfs(Node a) { return nodesdfs(a, new Node[a.count], new int[]{0}); }
public static Node[] nodesdfs(Node a, Node[] ns, int[] pos)
{
if(a == null)return ns;
ns[pos[0]++] = a;
nodesdfs(a.left, ns, pos);
nodesdfs(a.right, ns, pos);
return ns;
}
public static String toString(Node a, String indent)
{
if(a == null)return "";
StringBuilder sb = new StringBuilder();
sb.append(toString(a.left, indent + " "));
sb.append(indent).append(a).append("\n");
sb.append(toString(a.right, indent + " "));
return sb.toString();
}
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[] 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)); }
}