結果
| 問題 | No.1442 I-wate Shortest Path Problem |
| ユーザー |
 uwi
|
| 提出日時 | 2021-03-26 21:52:51 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 1,309 ms / 3,000 ms |
| コード長 | 22,932 bytes |
| コンパイル時間 | 6,790 ms |
| コンパイル使用メモリ | 94,308 KB |
| 実行使用メモリ | 78,680 KB |
| 最終ジャッジ日時 | 2024-05-06 15:22:18 |
| 合計ジャッジ時間 | 22,054 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge4 |
（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
37,288 KB |
| testcase_01 | AC | 68 ms
37,632 KB |
| testcase_02 | AC | 110 ms
40,528 KB |
| testcase_03 | AC | 280 ms
44,404 KB |
| testcase_04 | AC | 116 ms
40,180 KB |
| testcase_05 | AC | 90 ms
38,976 KB |
| testcase_06 | AC | 263 ms
44,752 KB |
| testcase_07 | AC | 107 ms
40,232 KB |
| testcase_08 | AC | 180 ms
42,136 KB |
| testcase_09 | AC | 148 ms
41,356 KB |
| testcase_10 | AC | 255 ms
43,228 KB |
| testcase_11 | AC | 194 ms
43,120 KB |
| testcase_12 | AC | 887 ms
73,296 KB |
| testcase_13 | AC | 419 ms
55,256 KB |
| testcase_14 | AC | 673 ms
65,900 KB |
| testcase_15 | AC | 597 ms
66,584 KB |
| testcase_16 | AC | 932 ms
75,888 KB |
| testcase_17 | AC | 1,309 ms
77,004 KB |
| testcase_18 | AC | 1,062 ms
76,920 KB |
| testcase_19 | AC | 1,089 ms
75,492 KB |
| testcase_20 | AC | 1,252 ms
78,452 KB |
| testcase_21 | AC | 1,166 ms
78,680 KB |
| testcase_22 | AC | 351 ms
55,532 KB |
| testcase_23 | AC | 888 ms
72,576 KB |
| testcase_24 | AC | 407 ms
63,276 KB |
| testcase_25 | AC | 1,021 ms
78,108 KB |
| testcase_26 | AC | 446 ms
70,204 KB |
ソースコード
package contest210326;
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 E {
InputStream is;
FastWriter out;
String INPUT = "";
public void solve()
{
int n = ni(), K = ni();
int[] from = new int[n - 1];
int[] to = new int[n - 1];
int[] ws = new int[n-1];
for (int i = 0; i < n - 1; i++) {
from[i] = ni() - 1;
to[i] = ni() - 1;
ws[i] = ni();
}
int[][][] g = packWU(n, from, to, ws);
int[][] xs = new int[K][];
int[] ps = new int[K];
for(int i = 0;i < K;i++){
int M = ni(), P = ni();
ps[i] = P;
xs[i] = na(M);
for(int j = 0;j < M;j++)xs[i][j]--;
}
long[][] daa = new long[K][K];
long I = Long.MAX_VALUE / 3;
for(int i = 0;i < K;i++){
Arrays.fill(daa[i], I);
daa[i][i] = 0;
}
// airport -> node
long[][] dan = new long[K][];
for(int i = 0;i < K;i++) {
long[] ds = new long[n];
Arrays.fill(ds, I);
MinHeapL h = new MinHeapL(n);
for(int x : xs[i]){
h.add(x, 0L);
ds[x] = 0L;
}
while(h.size() > 0){
int cur = h.argmin();
h.remove(cur);
for(int[] e : g[cur]){
long nd = ds[cur] + e[1];
if(ds[e[0]] > nd){
ds[e[0]] = nd;
h.update(e[0], nd);
}
}
}
for(int j = 0;j < K;j++){
if(i == j)continue;
for(int x : xs[j]){
daa[i][j] = Math.min(daa[i][j], ds[x] + ps[i]);
}
}
dan[i] = ds;
}
wf(daa);
for(int i = 0;i < K;i++){
for(int j = 0;j < K;j++){
daa[i][j] += ps[j];
}
}
int[][] pars = parents(g, 0);
int[] par = pars[0], ord = pars[1], pw = pars[4];
long[] dw = new long[n];
for(int i = 1;i < n;i++){
int cur = ord[i];
dw[cur] = dw[par[cur]] + pw[cur];
}
LCAFast2 lf = LCAFast2.build(packU(n, from, to), 0);
int Q = ni();
for(int i = 0;i < Q;i++){
int u = ni()-1, v = ni()-1;
int lca = lf.lca(u, v);
long ans = dw[u] + dw[v] - 2 * dw[lca];
for(int j = 0;j < K;j++){
for(int k = 0;k < K;k++){
ans = Math.min(ans, dan[j][u] + dan[k][v] + daa[j][k]);
}
}
out.println(ans);
}
}
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 long[][] wf(long[][] d)
{
int n = d.length;
for(int k = 0;k < n;k++){
for(int i = 0;i < n;i++){
for(int j = 0;j < n;j++){
if(d[i][j] > d[i][k] + d[k][j]){
d[i][j] = d[i][k] + d[k][j];
}
}
}
}
return d;
}
public static class MinHeapL {
public long[] a;
public int[] map;
public int[] imap;
public int n;
public int pos;
public static long INF = Long.MAX_VALUE;
public MinHeapL(int m)
{
n = Integer.highestOneBit((m+1)<<1);
a = new long[n];
map = new int[n];
imap = new int[n];
Arrays.fill(a, INF);
Arrays.fill(map, -1);
Arrays.fill(imap, -1);
pos = 1;
}
public long add(int ind, long x)
{
int ret = imap[ind];
if(imap[ind] < 0){
a[pos] = x; map[pos] = ind; imap[ind] = pos;
pos++;
up(pos-1);
}
return ret != -1 ? a[ret] : x;
}
public long update(int ind, long x)
{
int ret = imap[ind];
if(imap[ind] < 0){
a[pos] = x; map[pos] = ind; imap[ind] = pos;
pos++;
up(pos-1);
}else{
a[ret] = x;
up(ret);
down(ret);
}
return x;
}
public long remove(int ind)
{
if(pos == 1)return INF;
if(imap[ind] == -1)return INF;
pos--;
int rem = imap[ind];
long ret = a[rem];
map[rem] = map[pos];
imap[map[pos]] = rem;
imap[ind] = -1;
a[rem] = a[pos];
a[pos] = INF;
map[pos] = -1;
up(rem);
down(rem);
return ret;
}
public long min() { return a[1]; }
public int argmin() { return map[1]; }
public int size() { return pos-1; }
private void up(int cur)
{
for(int c = cur, p = c>>>1;p >= 1 && a[p] > a[c];c>>>=1, p>>>=1){
long d = a[p]; a[p] = a[c]; a[c] = d;
int e = imap[map[p]]; imap[map[p]] = imap[map[c]]; imap[map[c]] = e;
e = map[p]; map[p] = map[c]; map[c] = e;
}
}
private void down(int cur)
{
for(int c = cur;2*c < pos;){
int b = a[2*c] < a[2*c+1] ? 2*c : 2*c+1;
if(a[b] < a[c]){
long d = a[c]; a[c] = a[b]; a[b] = d;
int e = imap[map[c]]; imap[map[c]] = imap[map[b]]; imap[map[b]] = e;
e = map[c]; map[c] = map[b]; map[b] = e;
c = b;
}else{
break;
}
}
}
}
public static int[][][] packWU(int n, int[] from, int[] to, int[] w) {
return packWU(n, from, to, w, from.length);
}
public static int[][][] packWU(int n, int[] from, int[] to, int[] w, 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]][2];
for (int i = 0; i < sup; i++) {
--p[from[i]];
g[from[i]][p[from[i]]][0] = to[i];
g[from[i]][p[from[i]]][1] = w[i];
--p[to[i]];
g[to[i]][p[to[i]]][0] = from[i];
g[to[i]][p[to[i]]][1] = w[i];
}
return g;
}
public static int[][] parents(int[][][] g, int root) {
int n = g.length;
int[] par = new int[n];
Arrays.fill(par, -1);
int[] dw = new int[n];
int[] pw = new int[n];
int[] dep = new int[n];
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[0]) {
q[r++] = nex[0];
par[nex[0]] = cur;
dep[nex[0]] = dep[cur] + 1;
dw[nex[0]] = dw[cur] + nex[1];
pw[nex[0]] = nex[1];
}
}
}
return new int[][]{par, q, dep, dw, pw};
}
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 E().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[] 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)); }
}