結果
| 問題 | No.186 中華風 (Easy) |
| ユーザー |
 shun_skycrew
|
| 提出日時 | 2020-09-08 22:03:04 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 80 ms / 2,000 ms |
| コード長 | 47,199 bytes |
| コンパイル時間 | 4,380 ms |
| コンパイル使用メモリ | 102,400 KB |
| 実行使用メモリ | 39,020 KB |
| 最終ジャッジ日時 | 2024-07-19 18:40:55 |
| 合計ジャッジ時間 | 7,079 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 | 78 ms
38,724 KB |
| testcase_01 | AC | 80 ms
38,784 KB |
| testcase_02 | AC | 77 ms
38,696 KB |
| testcase_03 | AC | 79 ms
38,720 KB |
| testcase_04 | AC | 79 ms
38,720 KB |
| testcase_05 | AC | 80 ms
39,012 KB |
| testcase_06 | AC | 78 ms
38,732 KB |
| testcase_07 | AC | 79 ms
38,776 KB |
| testcase_08 | AC | 78 ms
38,792 KB |
| testcase_09 | AC | 80 ms
39,012 KB |
| testcase_10 | AC | 79 ms
38,928 KB |
| testcase_11 | AC | 79 ms
38,892 KB |
| testcase_12 | AC | 80 ms
38,792 KB |
| testcase_13 | AC | 79 ms
38,720 KB |
| testcase_14 | AC | 79 ms
38,748 KB |
| testcase_15 | AC | 80 ms
38,892 KB |
| testcase_16 | AC | 80 ms
39,020 KB |
| testcase_17 | AC | 79 ms
38,792 KB |
| testcase_18 | AC | 80 ms
38,872 KB |
| testcase_19 | AC | 80 ms
38,860 KB |
| testcase_20 | AC | 80 ms
38,792 KB |
| testcase_21 | AC | 80 ms
38,696 KB |
| testcase_22 | AC | 80 ms
38,696 KB |
ソースコード
import java.util.*;
import java.io.*;
import java.math.*;
import java.util.function.*;
public class Main implements Runnable {
static boolean DEBUG;
public static void main(String[] args) {
DEBUG = args.length > 0 && args[0].equals("-DEBUG");
Thread.setDefaultUncaughtExceptionHandler((t, e) -> { e.printStackTrace(); System.exit(1); });
new Thread(null, new Main(), "", 1 << 31).start();
}
public void run() {
Solver solver = new Solver();
solver.solve();
solver.exit();
}
static class FastScanner {
private final InputStream in = System.in;
private final byte[] buffer = new byte[1024];
private int pointer = 0;
private int buflen = 0;
private boolean hasNextByte() {
if(pointer < buflen) return true;
else {
pointer = 0;
try {
buflen = in.read(buffer);
}catch (IOException e) {
e.printStackTrace();
}
return buflen > 0;
}
}
private int readByte() { if(hasNextByte()) return buffer[pointer ++]; else return -1; }
private boolean isPrintableChar(int c) { return isPrintableChar(c, false); }
private boolean isPrintableChar(int c, boolean includingSpace) { return (includingSpace ? 32 : 33) <= c && c <= 126; }
private void skipUnprintable() { skipUnprintable(false); }
private void skipUnprintable(boolean includingSpace) { while(hasNextByte() && !isPrintableChar(buffer[pointer], includingSpace)) pointer++; }
private boolean hasNext() { return hasNext(false); }
private boolean hasNext(boolean includingSpace) { skipUnprintable(includingSpace); return hasNextByte(); }
private StringBuilder sb = new StringBuilder();
public String next() { return next(false); }
public String next(boolean includingSpace) {
if(!hasNext(includingSpace)) throw new NoSuchElementException();
sb.setLength(0);
int b = readByte();
while(isPrintableChar(b, includingSpace)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if(!hasNext()) throw new NoSuchElementException();
long n = 0;
boolean minus = false;
int b = readByte();
if(b == '-') {
minus = true;
b = readByte();
}
if(b < '0' || '9' < b) throw new NumberFormatException();
while(true) {
if('0' <= b && b <= '9') n = n * 10 + b - '0';
else if(b == -1 || !isPrintableChar(b)) return minus ? -n : n;
else throw new NumberFormatException();
b = readByte();
}
}
}
static class Solver {
FastScanner sc = new FastScanner();
public Solver() { }
String ns() { return ns(false); }
String ns(boolean includingSpace) { return sc.next(includingSpace); }
String[] ns(int n) { return ns(n, false); }
String[] ns(int n, boolean includingSpace) {
String a[] = new String[n];
for(int i = 0; i < n; i ++) a[i] = ns(includingSpace);
return a;
}
String[][] ns(int n, int m) { return ns(n, m, false); }
String[][] ns(int n, int m, boolean includingSpace) {
String a[][] = new String[n][m];
for(int i = 0; i < n; i ++) a[i] = ns(m, includingSpace);
return a;
}
char nc() { return ns().charAt(0); }
char[] nc(int n) {
String str = ns();
if(n < 0) n = str.length();
char a[] = new char[n];
for(int i = 0; i < n; i ++) a[i] = str.charAt(i);
return a;
}
char[][] nc(int n, int m) {
char a[][] = new char[n][m];
for(int i = 0; i < n; i ++) a[i] = nc(m);
return a;
}
boolean[] nb(int n, char t) {
char c[] = nc(-1);
if(n < 0) n = c.length;
boolean a[] = new boolean[n];
for(int i = 0; i < n; i ++) a[i] = c[i] == t;
return a;
}
boolean[][] nb(int n, int m, char t) {
boolean a[][] = new boolean[n][m];
for(int i = 0; i < n; i ++) a[i] = nb(m, t);
return a;
}
int ni() { return Math.toIntExact(sc.nextLong()); }
int[] ni(int n) {
int a[] = new int[n];
for(int i = 0; i < n; i ++) a[i] = ni();
return a;
}
int[][] ni(int n, int m) {
int a[][] = new int[n][m];
for(int i = 0; i < n; i ++) a[i] = ni(m);
return a;
}
long nl() { return sc.nextLong(); }
long[] nl(int n) {
long a[] = new long[n];
for(int i = 0; i < n; i ++) a[i] = nl();
return a;
}
long[][] nl(int n, int m) {
long a[][] = new long[n][m];
for(int i = 0; i < n; i ++) a[i] = nl(m);
return a;
}
double nd() { return Double.parseDouble(sc.next()); }
double[] nd(int n) {
double a[] = new double[n];
for(int i = 0; i < n; i ++) a[i] = nd();
return a;
}
double[][] nd(int n, int m) {
double a[][] = new double[n][m];
for(int i = 0; i < n; i ++) a[i] = nd(m);
return a;
} PairII npii() { return new PairII(ni(), ni()); }
PairII[] npii(int n) {
PairII a[] = new PairII[n];
for(int i = 0; i < n; i ++) a[i] = npii();
return a;
}
PairII[][] npii(int n, int m) {
PairII a[][] = new PairII[n][m];
for(int i = 0; i < n; i ++) a[i] = npii(m);
return a;
}
PairIL npil() { return new PairIL(ni(), nl()); }
PairIL[] npil(int n) {
PairIL a[] = new PairIL[n];
for(int i = 0; i < n; i ++) a[i] = npil();
return a;
}
PairIL[][] npil(int n, int m) {
PairIL a[][] = new PairIL[n][m];
for(int i = 0; i < n; i ++) a[i] = npil(m);
return a;
}
PairID npid() { return new PairID(ni(), nd()); }
PairID[] npid(int n) {
PairID a[] = new PairID[n];
for(int i = 0; i < n; i ++) a[i] = npid();
return a;
}
PairID[][] npid(int n, int m) {
PairID a[][] = new PairID[n][m];
for(int i = 0; i < n; i ++) a[i] = npid(m);
return a;
}
PairLI npli() { return new PairLI(nl(), ni()); }
PairLI[] npli(int n) {
PairLI a[] = new PairLI[n];
for(int i = 0; i < n; i ++) a[i] = npli();
return a;
}
PairLI[][] npli(int n, int m) {
PairLI a[][] = new PairLI[n][m];
for(int i = 0; i < n; i ++) a[i] = npli(m);
return a;
}
PairLL npll() { return new PairLL(nl(), nl()); }
PairLL[] npll(int n) {
PairLL a[] = new PairLL[n];
for(int i = 0; i < n; i ++) a[i] = npll();
return a;
}
PairLL[][] npll(int n, int m) {
PairLL a[][] = new PairLL[n][m];
for(int i = 0; i < n; i ++) a[i] = npll(m);
return a;
}
PairLD npld() { return new PairLD(nl(), nd()); }
PairLD[] npld(int n) {
PairLD a[] = new PairLD[n];
for(int i = 0; i < n; i ++) a[i] = npld();
return a;
}
PairLD[][] npld(int n, int m) {
PairLD a[][] = new PairLD[n][m];
for(int i = 0; i < n; i ++) a[i] = npld(m);
return a;
}
PairDI npdi() { return new PairDI(nd(), ni()); }
PairDI[] npdi(int n) {
PairDI a[] = new PairDI[n];
for(int i = 0; i < n; i ++) a[i] = npdi();
return a;
}
PairDI[][] npdi(int n, int m) {
PairDI a[][] = new PairDI[n][m];
for(int i = 0; i < n; i ++) a[i] = npdi(m);
return a;
}
PairDL npdl() { return new PairDL(nd(), nl()); }
PairDL[] npdl(int n) {
PairDL a[] = new PairDL[n];
for(int i = 0; i < n; i ++) a[i] = npdl();
return a;
}
PairDL[][] npdl(int n, int m) {
PairDL a[][] = new PairDL[n][m];
for(int i = 0; i < n; i ++) a[i] = npdl(m);
return a;
}
PairDD npdd() { return new PairDD(nd(), nd()); }
PairDD[] npdd(int n) {
PairDD a[] = new PairDD[n];
for(int i = 0; i < n; i ++) a[i] = npdd();
return a;
}
PairDD[][] npdd(int n, int m) {
PairDD a[][] = new PairDD[n][m];
for(int i = 0; i < n; i ++) a[i] = npdd(m);
return a;
}
String booleanToString(boolean b) { return b ? "#" : "."; }
PrintWriter out = new PrintWriter(System.out);
PrintWriter err = new PrintWriter(System.err);
StringBuilder sb4prtln = new StringBuilder();
void prt() { out.print(""); }
<T> void prt(T a) { out.print(a); }
void prtln() { out.println(""); }
<T> void prtln(T a) { out.println(a); }
void prtln(int... a) {
sb4prtln.setLength(0);
for(int element : a) sb4prtln.append(element+" ");
prtln(sb4prtln.toString().trim());
}
void prtln(long... a) {
sb4prtln.setLength(0);
for(long element : a) sb4prtln.append(element+" ");
prtln(sb4prtln.toString().trim());
}
void prtln(double... a) {
sb4prtln.setLength(0);
for(double element : a) sb4prtln.append(element+" ");
prtln(sb4prtln.toString().trim());
}
void prtln(String... a) {
sb4prtln.setLength(0);
for(String element : a) sb4prtln.append(element+" ");
prtln(sb4prtln.toString().trim());
}
void prtln(char... a) {
sb4prtln.setLength(0);
for(char element : a) sb4prtln.append(element);
prtln(sb4prtln.toString());
}
void prtln(boolean... a) {
sb4prtln.setLength(0);
for(boolean element : a) sb4prtln.append(booleanToString(element));
prtln(sb4prtln.toString());
}
void prtln(int[][] a) { for(int[] element : a) prtln(element); }
void prtln(long[][] a) { for(long[] element : a) prtln(element); }
void prtln(double[][] a) { for(double[] element : a) prtln(element); }
void prtln(String[][] a) { for(String[] element : a) prtln(element); }
void prtln(char[][] a) { for(char[] element : a) prtln(element); }
void prtln(boolean[][] a) { for(boolean[] element : a) prtln(element); }
String errconvert(int a) { return isINF(a) ? "_" : String.valueOf(a); }
String errconvert(long a) { return isINF(a) ? "_" : String.valueOf(a); }
void errprt(int a) { if(DEBUG) err.print(errconvert(a)); }
void errprt(long a) { if(DEBUG) err.print(errconvert(a)); }
void errprt() { if(DEBUG) err.print(""); }
<T> void errprt(T a) { if(DEBUG) err.print(a); }
void errprt(boolean a) { if(DEBUG) errprt(booleanToString(a)); }
void errprtln() { if(DEBUG) err.println(""); }
void errprtln(int a) { if(DEBUG) err.println(errconvert(a)); }
void errprtln(long a) { if(DEBUG) err.println(errconvert(a)); }
<T> void errprtln(T a) { if(DEBUG) err.println(a); }
void errprtln(boolean a) { if(DEBUG) errprtln(booleanToString(a)); }
void errprtln(int... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(int element : a) sb4prtln.append(errconvert(element)+" ");
errprtln(sb4prtln.toString().trim());
}
}
void errprtln(long... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(long element : a) sb4prtln.append(errconvert(element)+" ");
errprtln(sb4prtln.toString().trim());
}
}
void errprtln(double... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(double element : a) sb4prtln.append(element+" ");
errprtln(sb4prtln.toString().trim());
}
}
void errprtln(String... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(String element : a) sb4prtln.append(element+" ");
errprtln(sb4prtln.toString().trim());
}
}
void errprtln(char... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(char element : a) sb4prtln.append(element);
errprtln(sb4prtln.toString());
}
}
void errprtln(boolean... a) {
if(DEBUG) {
sb4prtln.setLength(0);
for(boolean element : a) sb4prtln.append(booleanToString(element));
errprtln(sb4prtln.toString());
}
}
void errprtln(Object[] a) { if(DEBUG) for(Object element : a) errprtln(element); }
void errprtln(int[][] a) { if(DEBUG) for(int[] element : a) errprtln(element); }
void errprtln(long[][] a) { if(DEBUG) for(long[] element : a) errprtln(element); }
void errprtln(double[][] a) { if(DEBUG) for(double[] element : a) errprtln(element); }
void errprtln(String[][] a) { if(DEBUG) for(String[] element : a) errprtln(element); }
void errprtln(char[][] a) { if(DEBUG) for(char[] element : a) errprtln(element); }
void errprtln(boolean[][] a) { if(DEBUG) for(boolean[] element : a) errprtln(element); }
void errprtln(Object[][] a) { if(DEBUG) for(Object element : a) { errprtln(element); errprtln(); } }
void reply(boolean b) { prtln(b ? "Yes" : "No"); }
void REPLY(boolean b) { prtln(b ? "YES" : "NO"); }
void flush() { out.flush(); if(DEBUG) err.flush(); }
void assertion(boolean b) { if(!b) { flush(); throw new AssertionError(); } }
void exit() { flush(); System.exit(0); }
<T> void exit(T a) { prtln(a); exit(); }
void exit(int... a) { prtln(a); exit(); }
void exit(long... a) { prtln(a); exit(); }
void exit(double... a) { prtln(a); exit(); }
void exit(String... a) { prtln(a); exit(); }
void exit(char... a) { prtln(a); exit(); }
void exit(boolean... a) { prtln(a); exit(); }
void exit(int[][] a) { prtln(a); exit(); }
void exit(long[][] a) { prtln(a); exit(); }
void exit(double[][] a) { prtln(a); exit(); }
void exit(String[][] a) { prtln(a); exit(); }
void exit(char[][] a) { prtln(a); exit(); }
void exit(boolean[][] a) { prtln(a); exit(); }
final long INF = (long)1e18 + 7;
boolean isPlusINF(long a) { return a > INF / 10; }
boolean isMinusINF(long a) { return isPlusINF(- a); }
boolean isINF(long a) { return isPlusINF(a) || isMinusINF(a); }
final int I_INF = (int)1e9 + 7;
boolean isPlusINF(int a) { return a > I_INF / 10; }
boolean isMinusINF(int a) { return isPlusINF(- a); }
boolean isINF(int a) { return isPlusINF(a) || isMinusINF(a); }
int min(int a, int b) { return Math.min(a, b); }
long min(long a, long b) { return Math.min(a, b); }
double min(double a, double b) { return Math.min(a, b); }
<T extends Comparable<T>> T min(T a, T b) { return a.compareTo(b) <= 0 ? a : b; }
int min(int... x) {
int min = x[0];
for(int val : x) min = min(min, val);
return min;
}
long min(long... x) {
long min = x[0];
for(long val : x) min = min(min, val);
return min;
}
double min(double... x) {
double min = x[0];
for(double val : x) min = min(min, val);
return min;
}
int max(int a, int b) { return Math.max(a, b); }
long max(long a, long b) { return Math.max(a, b); }
double max(double a, double b) { return Math.max(a, b); }
<T extends Comparable<T>> T max(T a, T b) { return a.compareTo(b) >= 0 ? a : b; }
int max(int... x) {
int max = x[0];
for(int val : x) max = max(max, val);
return max;
}
long max(long... x) {
long max = x[0];
for(long val : x) max = max(max, val);
return max;
}
double max(double... x) {
double max = x[0];
for(double val : x) max = max(max, val);
return max;
}
<T extends Comparable<T>> T max(T[] x) {
T max = x[0];
for(T val : x) max = max(max, val);
return max;
}
int max(int[][] a) {
int max = a[0][0];
for(int[] ele : a) max = max(max, max(ele));
return max;
}
long max(long[][] a) {
long max = a[0][0];
for(long[] ele : a) max = max(max, max(ele));
return max;
}
double max(double[][] a) {
double max = a[0][0];
for(double[] ele : a) max = max(max, max(ele));
return max;
}
<T extends Comparable<T>> T max(T[][] a) {
T max = a[0][0];
for(T[] ele : a) max = max(max, max(ele));
return max;
}
long sum(int... a) {
long sum = 0;
for(int element : a) sum += element;
return sum;
}
long sum(long... a) {
long sum = 0;
for(long element : a) sum += element;
return sum;
}
double sum(double... a) {
double sum = 0;
for(double element : a) sum += element;
return sum;
}
long sum(boolean... a) {
long sum = 0;
for(boolean element : a) sum += element ? 1 : 0;
return sum;
}
long[] sums(int[] a) {
long sum[] = new long[a.length + 1];
sum[0] = 0;
for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i];
return sum;
}
long[] sums(long[] a) {
long sum[] = new long[a.length + 1];
sum[0] = 0;
for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i];
return sum;
}
double[] sums(double[] a) {
double sum[] = new double[a.length + 1];
sum[0] = 0;
for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + a[i];
return sum;
}
long[] sums(boolean[] a) {
long sum[] = new long[a.length + 1];
sum[0] = 0;
for(int i = 0; i < a.length; i ++) sum[i + 1] = sum[i] + (a[i] ? 1 : 0);
return sum;
}
long[][] sums(int[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
fill(sum, 0);
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) {
sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
}
return sum;
}
long[][] sums(long[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
fill(sum, 0);
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) {
sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
}
return sum;
}
double[][] sums(double[][] a) {
double sum[][] = new double[a.length + 1][a[0].length + 1];
fill(sum, 0);
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) {
sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + a[i][j];
}
}
return sum;
}
long[][] sums(boolean[][] a) {
long sum[][] = new long[a.length + 1][a[0].length + 1];
fill(sum, 0);
for(int i = 0; i < a.length; i ++) {
for(int j = 0; j < a[i].length; j ++) {
sum[i + 1][j + 1] = sum[i + 1][j] + sum[i][j + 1] - sum[i][j] + (a[i][j] ? 1 : 0);
}
}
return sum;
}
int constrain(int x, int l, int r) { return min(max(x, min(l, r)), max(l, r)); }
long constrain(long x, long l, long r) { return min(max(x, min(l, r)), max(l, r)); }
double constrain(double x, double l, double r) { return min(max(x, min(l, r)), max(l, r)); }
int abs(int x) { return x >= 0 ? x : - x; }
long abs(long x) { return x >= 0 ? x : - x; }
double abs(double x) { return x >= 0 ? x : - x; }
int signum(int x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
int signum(long x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
int signum(double x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }
long round(double x) { return Math.round(x); }
long floor(double x) { return (long)Math.floor(x); }
int divfloor(int a, int b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
long divfloor(long a, long b) { return signum(a) == signum(b) ? a / b : - divceil(abs(a), abs(b)); }
long ceil(double x) { return (long)Math.ceil(x); }
int divceil(int a, int b) { return a >= 0 && b > 0 ? (a + b - 1) / b
: a < 0 && b < 0 ? divceil(abs(a), abs(b))
: - divfloor(abs(a), abs(b)); }
long divceil(long a, long b) { return a >= 0 && b > 0 ? (a + b - 1) / b
: a < 0 && b < 0 ? divceil(abs(a), abs(b))
: - divfloor(abs(a), abs(b)); }
double sqrt(int x) { return Math.sqrt((double)x); }
double sqrt(long x) { return Math.sqrt((double)x); }
double sqrt(double x) { return Math.sqrt(x); }
long fact(int n) {
long ans = 1;
for(int i = 1; i <= n; i ++) ans = Math.multiplyExact(ans, i);
return ans;
}
double pow(double x, double y) { return Math.pow(x, y); }
long pow(long x, long y) {
long ans = 1;
while(true) {
if(y % 2 != 0) ans = Math.multiplyExact(ans, x);
y /= 2;
if(y <= 0) return ans;
x = Math.multiplyExact(x, x);
}
}
int gcd(int a, int b) {
while(true) {
if(b == 0) return a;
int tmp = a;
a = b;
b = tmp % b;
}
}
long gcd(long a, long b) {
while(true) {
if(b == 0) return a;
long tmp = a;
a = b;
b = tmp % b;
}
}
long lcm(long a, long b) { return a / gcd(a, b) * b; }
int gcd(int... a) {
int gcd = 0;
for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]);
return gcd;
}
long gcd(long... a) {
long gcd = 0;
for(int i = 0; i < a.length; i ++) gcd = gcd(gcd, a[i]);
return gcd;
}
double random() { return Math.random(); }
int random(int max) { return (int)floor(random() * max); }
long random(long max) { return floor(random() * max); }
double random(double max) { return random() * max; }
int random(int min, int max) { return random(max - min) + min; }
long random(long min, long max) { return random(max - min) + min; }
double random(double min, double max) { return random(max - min) + min; }
boolean isUpper(char a) { return a >= 'A' && a <= 'Z'; }
boolean isLower(char a) { return a >= 'a' && a <= 'z'; }
int upperToInt(char a) { return a - 'A'; }
int lowerToInt(char a) { return a - 'a'; }
int numToInt(char a) { return a - '0'; }
int charToInt(char a) { return a >= 'a' ? lowerToInt(a) : a >= 'A' ? upperToInt(a) : numToInt(a); }
char intToUpper(int a) { return (char)(a + 'A'); }
char intToLower(int a) { return (char)(a + 'a'); }
char intToNum(int a) { return (char)(a + '0'); }
int[] charToInt(char[] a) {
int array[] = new int[a.length];
for(int i = 0; i < a.length; i ++) array[i] = charToInt(a[i]);
return array;
}
long[] div(long a) {
List<Long> divList = new ArrayList<Long>();
for(long i = 1; i * i <= a; i ++) {
if(a % i == 0) {
divList.add(i);
if(i * i != a) divList.add(a / i);
}
}
long div[] = new long[divList.size()];
for(int i = 0; i < divList.size(); i ++) div[i] = divList.get(i);
Arrays.sort(div);
return div;
}
long[][] factor(long a) {
List<Long> factorList = new ArrayList<Long>();
List<Long> degreeList = new ArrayList<Long>();
for(long i = 2; i * i <= a; i ++) {
if(a % i == 0) {
long count = 0;
while(a % i == 0) { a /= i; count ++; }
factorList.add(i);
degreeList.add(count);
}
}
if(a > 1) { factorList.add(a); degreeList.add(1L); }
long factor[][] = new long[factorList.size()][2];
for(int i = 0; i < factorList.size(); i ++) {
factor[i][0] = factorList.get(i);
factor[i][1] = degreeList.get(i);
}
Arrays.sort(factor, (sort1, sort2) -> Long.compare(sort1[0], sort2[0]));
return factor;
}
boolean isPrime(long x) {
boolean ok = x > 1;
for(long i = 2; i * i <= x; i ++) {
ok &= x % i != 0;
if(!ok) return ok;
}
return ok;
}
boolean[] prime(int num) {
boolean prime[] = new boolean[num];
fill(prime, true);
if(num > 0) prime[0] = false;
if(num > 1) prime[1] = false;
for(int i = 2; i < num; i ++) if(prime[i]) for(int j = 2; i * j < num; j ++) prime[i * j] = false;
return prime;
}
long[][] countElements(long[] a, boolean sort) {
int len = a.length;
long array[] = new long[len];
for(int i = 0; i < len; i ++) array[i] = a[i];
if(sort) Arrays.sort(array);
List<Long> elem = new ArrayList<Long>();
List<Long> cnt = new ArrayList<Long>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
elem.add(array[i - 1]);
cnt.add(tmp);
tmp = 1;
}else tmp ++;
}
long counts[][] = new long[elem.size()][2];
for(int i = 0; i < elem.size(); i ++) {
counts[i][0] = elem.get(i);
counts[i][1] = cnt.get(i);
}
return counts;
}
long[][] countElements(String str, boolean sort) {
int len = str.length();
char array[] = str.toCharArray();
if(sort) Arrays.sort(array);
List<Long> elem = new ArrayList<Long>();
List<Long> cnt = new ArrayList<Long>();
long tmp = 1;
for(int i = 1; i <= len; i ++) {
if(i == len || array[i] != array[i - 1]) {
elem.add((long)array[i - 1]);
cnt.add(tmp);
tmp = 1;
}else tmp ++;
}
long counts[][] = new long[elem.size()][2];
for(int i = 0; i < elem.size(); i ++) {
counts[i][0] = elem.get(i);
counts[i][1] = cnt.get(i);
}
return counts;
}
int[] baseConvert(long x, int n, int len) {
int digit[] = new int[len];
int i = 0;
long tmp = x;
while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; }
return digit;
}
int[] baseConvert(long x, int n) {
long tmp = x;
int len = 0;
while(tmp > 0) { tmp /= n; len ++; }
return baseConvert(x, n, len);
}
int[] baseConvert(int x, int n, int len) {
int digit[] = new int[len];
int i = 0;
int tmp = x;
while(tmp > 0 && i < len) { digit[i ++] = (int)(tmp % n); tmp /= n; }
return digit;
}
int[] baseConvert(int x, int n) {
int tmp = x;
int len = 0;
while(tmp > 0) { tmp /= n; len ++; }
return baseConvert(x, n, len);
}
long[] baseConvert(long x, long n, int len) {
long digit[] = new long[len];
int i = 0;
long tmp = x;
while(tmp > 0 && i < len) { digit[i ++] = tmp % n; tmp /= n; }
return digit;
}
long[] baseConvert(long x, long n) {
long tmp = x;
int len = 0;
while(tmp > 0) { tmp /= n; len ++; }
return baseConvert(x, n, len);
}
int numDigits(long a) { return Long.toString(a).length(); }
long bitFlag(int a) { return 1L << (long)a; }
boolean isFlagged(long x, int a) { return (x & bitFlag(a)) != 0; }
long countString(String str, String a) { return (str.length() - str.replace(a, "").length()) / a.length(); }
long countStringAll(String str, String a) { return str.length() - str.replaceAll(a, "").length(); }
String reverse(String str) { return (new StringBuilder(str)).reverse().toString(); }
void reverse(String[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void reverse(int[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void reverse(long[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void reverse(double[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void reverse(char[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void reverse(boolean[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
<T> void reverse(T[] array) { for(int i = 0; i < array.length / 2; i ++) swap(array, i, array.length - i - 1); }
void fill(int[] array, int x) { Arrays.fill(array, x); }
void fill(long[] array, long x) { Arrays.fill(array, x); }
void fill(double[] array, double x) { Arrays.fill(array, x); }
void fill(char[] array, char x) { Arrays.fill(array, x); }
void fill(boolean[] array, boolean x) { Arrays.fill(array, x); }
void fill(int[][] array, int x) { for(int[] a : array) fill(a, x); }
void fill(long[][] array, long x) { for(long[] a : array) fill(a, x); }
void fill(double[][] array, double x) { for(double[] a : array) fill(a, x); }
void fill(char[][] array, char x) { for(char[] a : array) fill(a, x); }
void fill(boolean[][] array, boolean x) { for(boolean[] a : array) fill(a, x); }
void fill(int[][][] array, int x) { for(int[][] a : array) fill(a, x); }
void fill(long[][][] array, long x) { for(long[][] a : array) fill(a, x); }
void fill(double[][][] array, double x) { for(double[][] a : array) fill(a, x); }
void fill(char[][][] array, char x) { for(char[][] a : array) fill(a, x); }
void fill(boolean[][][] array, boolean x) { for(boolean[][] a : array) fill(a, x); }
int[] resize(int[] array, int m, int x) {
int resized[] = new int[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
long[] resize(long[] array, int m, int x) {
long resized[] = new long[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
double[] resize(double[] array, int m, int x) {
double resized[] = new double[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
char[] resize(char[] array, int m, int x) {
char resized[] = new char[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
boolean[] resize(boolean[] array, int m, int x) {
boolean resized[] = new boolean[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
Object[] resize(Object[] array, int m, int x) {
Object resized[] = new Object[m];
for(int i = max(0, - x); i < array.length && i + x < m; i ++) resized[i + x] = array[i];
return resized;
}
void shuffleArray(int[] array){
for(int i = 0; i < array.length; i ++){
int tmp = array[i];
int randomPos = random(i, array.length);
array[i] = array[randomPos];
array[randomPos] = tmp;
}
}
void shuffleArray(long[] array){
for(int i = 0; i < array.length; i ++){
long tmp = array[i];
int randomPos = random(i, array.length);
array[i] = array[randomPos];
array[randomPos] = tmp;
}
}
void shuffleArray(double[] array){
for(int i = 0; i < array.length; i ++){
double tmp = array[i];
int randomPos = random(i, array.length);
array[i] = array[randomPos];
array[randomPos] = tmp;
}
}
int[] randomi(int num, int max){
int array[] = new int[num];
for(int i = 0; i < num; i ++) array[i] = random(max);
return array;
}
long[] randoml(int num, long max){
long array[] = new long[num];
for(int i = 0; i < num; i ++) array[i] = random(max);
return array;
}
double[] randomd(int num, double max){
double array[] = new double[num];
for(int i = 0; i < num; i ++) array[i] = random(max);
return array;
}
int[] randomi(int num, int min, int max){
int array[] = new int[num];
for(int i = 0; i < num; i ++) array[i] = random(min, max);
return array;
}
long[] randoml(int num, long min, long max){
long array[] = new long[num];
for(int i = 0; i < num; i ++) array[i] = random(min, max);
return array;
}
double[] randomd(int num, double min, double max){
double array[] = new double[num];
for(int i = 0; i < num; i ++) array[i] = random(min, max);
return array;
}
void swap(String[] array, int i, int j) {
String tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
void swap(int[] array, int i, int j) {
int tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
void swap(long[] array, int i, int j) {
long tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
void swap(double[] array, int i, int j) {
double tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
void swap(char[] array, int i, int j) {
char tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
void swap(boolean[] array, int i, int j) {
boolean tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
<T> void swap(T[] array, int i, int j) {
T tmp = array[i];
array[i] = array[j];
array[j] = tmp;
}
// mods
final long MOD = (long)1e9 + 7; // 998244353;
long mod(long i) { i %= MOD; return i + (i < 0 ? MOD : 0); }
void mod(long[] a) { for(int i = 0; i < a.length; i ++) a[i] = mod(a[i]); }
void mod(long[][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); }
void mod(long[][][] a) { for(int i = 0; i < a.length; i ++) mod(a[i]); }
long pow_m(long x, long y) {
long ans = 1;
for(; y > 0; y /= 2) {
if(y % 2 != 0) ans = mod(ans * x);
x = mod(x * x);
}
return ans;
}
long[] pows_m(long x, int max) {
long pow[] = new long[max + 1];
pow[0] = 1;
for(int i = 0; i < max; i ++) pow[i + 1] = mod(pow[i] * x);
return pow;
}
long fact_m(int n) {
long ans = 1;
for(int i = 1; i <= n; i ++) ans = mod(ans * i);
return ans;
}
final int MAX_INV_SIZE = 100_100;
Map<Long, Long> invMap = new HashMap<>();
long inv(long x) {
x = mod(x);
if(invMap.containsKey(x)) return invMap.get(x);
if(invMap.size() >= MAX_INV_SIZE) return calInv(x);
invMap.put(x, calInv(x));
return invMap.get(x);
}
long calInv(long x) { return pow_m(x, MOD - 2); }
final int MAX_FACT = 5_000_100;
long fact[];
long invFact[];
boolean isFactPrepared = false;
Map<Integer, long[]> factMap;
void prepareFact() {
fact = new long[MAX_FACT];
fill(fact, 0);
invFact = new long[MAX_FACT];
fill(invFact, 0);
fact[0] = 1;
int maxIndex = min(MAX_FACT, (int)MOD);
for(int i = 1; i < maxIndex; i ++) fact[i] = mod(fact[i - 1] * i);
invFact[maxIndex - 1] = inv(fact[maxIndex - 1]);
for(int i = maxIndex - 1; i > 0; i --) invFact[i - 1] = mod(invFact[i] * i);
factMap = new HashMap<>();
isFactPrepared = true;
}
long P(int n, int r) {
if(!isFactPrepared) { prepareFact(); }
if(n < 0 || r < 0 || n < r) { return 0; }
if(n >= MAX_FACT) {
if(!factMap.containsKey(n)) {
long largeFact[] = new long[MAX_FACT];
factMap.put(n, largeFact);
fill(largeFact, -INF);
largeFact[0] = 1;
}
long largeFact[] = factMap.get(n);
int i = r;
while(isINF(largeFact[i])) i --;
for(; i < r; i ++) largeFact[i + 1] = mod(largeFact[i] * (n - i));
return largeFact[r];
}
return mod(fact[n] * invFact[n - r]);
}
long C(int n, int r) {
if(!isFactPrepared) prepareFact();
if(n < 0 || r < 0 || n < r) return 0;
return mod(P(n, r) * invFact[r]);
}
long H(int n, int r) { return C((n - 1) + r, r); }
// grid
class Grids {
int h;
int w;
Grid[][] gs;
Grid[] gi;
Grids(int h, int w) {
this.h = h;
this.w = w;
gs = new Grid[h][w];
gi = new Grid[h * w];
for(int i = 0; i < h; i ++) {
for(int j = 0; j < w; j ++) {
gs[i][j] = new Grid(i, j, h, w);
gi[gs[i][j].i] = gs[i][j];
}
}
}
void init(boolean[][] b) {
for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].b = b[i][j];
}
void init(long[][] val) {
for(int i = 0; i < h; i ++) for(int j = 0; j < w; j ++) gs[i][j].val = val[i][j];
}
Grid get(int x, int y) { return isValid(x, y, h, w) ? gs[x][y] : null; }
Grid get(int i) { return get(i / w, i % w); }
int dx[] = {0, -1, 1, 0, 0, -1, 1, -1, 1};
int dy[] = {0, 0, 0, -1, 1, -1, -1, 1, 1};
Grid next(int x, int y, int i) { return next(gs[x][y], i); }
Grid next(Grid g, int i) {
return isValid(g.x + dx[i], g.y + dy[i], g.h, g.w)
? gs[g.x + dx[i]][g.y + dy[i]]
: null;
}
}
class Grid implements Comparable<Grid> {
int x;
int y;
int h;
int w;
int i;
boolean b;
long val;
Grid() { }
Grid(int x, int y, int h, int w) { init(x, y, h, w, false, 0); }
Grid(int x, int y, int h, int w, boolean b) { init(x, y, h, w, b, 0); }
Grid(int x, int y, int h, int w, long val) { init(x, y, h, w, false, val); }
Grid(int x, int y, int h, int w, boolean b, long val) { init(x, y, h, w, b, val); }
void init(int x, int y, int h, int w, boolean b, long val) {
this.x = x;
this.y = y;
this.h = h;
this.w = w;
this.b = b;
this.val = val;
this.i = x * w + y;
}
@Override
public String toString() { return "("+x+", "+y+")"+" "+booleanToString(b)+" "+val; }
@Override
public int hashCode() { return Objects.hash(x, y, h, w, b, val); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Grid that = (Grid) obj;
if(this.x != that.x) return false;
if(this.y != that.y) return false;
if(this.h != that.h) return false;
if(this.w != that.w) return false;
if(this.b != that.b) return false;
if(this.val != that.val) return false;
return true;
}
@Override
public int compareTo(Grid that) {
int c = Long.compare(this.val, that.val);
if(c == 0) c = Integer.compare(this.x, that.x);
if(c == 0) c = Integer.compare(this.y, that.y);
return c;
}
}
boolean isValid(int x, int y, int h, int w) { return x >= 0 && x < h && y >= 0 && y < w; }
boolean isValid(Grid g) { return isValid(g.x, g.y, g.h, g.w); }
// graph
class Graph {
int numNode;
int numEdge;
boolean directed;
Set<Edge> edges = new HashSet<>();
Node nodes[];
Node reversedNodes[];
Graph(int numNode, int numEdge, boolean directed) {
this.numNode = numNode;
this.numEdge = numEdge;
this.directed = directed;
nodes = new Node[numNode];
reversedNodes = new Node[numNode];
for(int i = 0; i < numNode; i ++) {
nodes[i] = new Node(i);
reversedNodes[i] = new Node(i);
}
}
void init(Set<Edge> edges) {
this.edges = edges;
for(Edge e : edges) add(e);
}
void add(Edge e) {
edges.add(e);
nodes[e.source].add(e.target, e.cost);
if(directed) reversedNodes[e.target].add(e.source, e.cost);
else nodes[e.target].add(e.source, e.cost);
}
void remove(Edge e) {
edges.remove(e);
nodes[e.source].remove(e.target, e.cost);
if(directed) reversedNodes[e.target].remove(e.source, e.cost);
else nodes[e.target].remove(e.source, e.cost);
}
void update(Edge e, long cost) {
nodes[e.source].update(e.target, cost);
if(directed) reversedNodes[e.target].update(e.source, cost);
else nodes[e.target].update(e.source, cost);
e.cost = cost;
}
void update(int source, int target, long cost) { update(new Edge(source, target, cost), cost); }
void clearNodes() {
for(Node n : nodes) n.clear();
for(Node n : reversedNodes) n.clear();
}
}
class Node extends HashSet<Edge> {
int id;
Node(int id) { this.id = id; }
void add(int target, long cost) { add(new Edge(id, target, cost)); }
void remove(int target, long cost) { remove(new Edge(id, target, cost)); }
void update(int target, long cost) { remove(target, cost); add(target, cost); }
}
class Edge implements Comparable<Edge> {
int source;
int target;
long cost;
Edge(int source, int target, long cost) {
this.source = source;
this.target = target;
this.cost = cost;
}
@Override
public String toString() { return source+" - "+cost+" -> "+target; }
@Override
public int hashCode() { return Objects.hash(source, target); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Edge that = (Edge) obj;
if(this.source != that.source) return false;
if(this.target != that.target) return false;
return true;
}
@Override
public int compareTo(Edge that) {
int c = Long.compare(this.cost, that.cost);
if(c == 0) c = Integer.compare(this.source, that.source);
if(c == 0) c = Integer.compare(this.target, that.target);
return c;
}
}
// Pair, Tuple
class Pair<T extends Comparable<? super T>, U extends Comparable<? super U>> implements Comparable<Pair<T, U>> {
T a;
U b;
Pair() { }
Pair(T a, U b) {
this.a = a;
this.b = b;
}
@Override
public String toString() { return "("+a.toString()+", "+b.toString()+")"; }
@Override
public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
Pair that = (Pair) obj;
if(this.a.getClass() != that.a.getClass()) return false;
if(this.b.getClass() != that.b.getClass()) return false;
if(!this.a.equals(that.a)) return false;
if(!this.b.equals(that.b)) return false;
return true;
}
@Override
public int compareTo(Pair<T, U> that) {
int c = (this.a).compareTo(that.a);
if(c == 0) c = (this.b).compareTo(that.b);
return c;
}
}
class PairII implements Comparable<PairII> {
int a; int b;
PairII() { }
PairII(int a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairII that = (PairII) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairII that) {
int c = Integer.compare(this.a, that.a);
if(c == 0) c = Integer.compare(this.b, that.b);
return c;
}
}
class PairIL implements Comparable<PairIL> {
int a; long b;
PairIL() { }
PairIL(int a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairIL that = (PairIL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairIL that) {
int c = Integer.compare(this.a, that.a);
if(c == 0) c = Long.compare(this.b, that.b);
return c;
}
}
class PairID implements Comparable<PairID> {
int a; double b;
PairID() { }
PairID(int a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairID that = (PairID) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairID that) {
int c = Integer.compare(this.a, that.a);
if(c == 0) c = Double.compare(this.b, that.b);
return c;
}
}
class PairLI implements Comparable<PairLI> {
long a; int b;
PairLI() { }
PairLI(long a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLI that = (PairLI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairLI that) {
int c = Long.compare(this.a, that.a);
if(c == 0) c = Integer.compare(this.b, that.b);
return c;
}
}
class PairLL implements Comparable<PairLL> {
long a; long b;
PairLL() { }
PairLL(long a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLL that = (PairLL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairLL that) {
int c = Long.compare(this.a, that.a);
if(c == 0) c = Long.compare(this.b, that.b);
return c;
}
}
class PairLD implements Comparable<PairLD> {
long a; double b;
PairLD() { }
PairLD(long a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairLD that = (PairLD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairLD that) {
int c = Long.compare(this.a, that.a);
if(c == 0) c = Double.compare(this.b, that.b);
return c;
}
}
class PairDI implements Comparable<PairDI> {
double a; int b;
PairDI() { }
PairDI(double a, int b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDI that = (PairDI) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairDI that) {
int c = Double.compare(this.a, that.a);
if(c == 0) c = Integer.compare(this.b, that.b);
return c;
}
}
class PairDL implements Comparable<PairDL> {
double a; long b;
PairDL() { }
PairDL(double a, long b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDL that = (PairDL) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairDL that) {
int c = Double.compare(this.a, that.a);
if(c == 0) c = Long.compare(this.b, that.b);
return c;
}
}
class PairDD implements Comparable<PairDD> {
double a; double b;
PairDD() { }
PairDD(double a, double b) { this.a = a; this.b = b; }
@Override public String toString() { return "("+a+", "+b+")"; }
@Override public int hashCode() { return Objects.hash(a, b); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null) return false;
if(this.getClass() != obj.getClass()) return false;
PairDD that = (PairDD) obj;
if(this.a != that.a || this.b != that.b) return false;
return true;
}
@Override
public int compareTo(PairDD that) {
int c = Double.compare(this.a, that.a);
if(c == 0) c = Double.compare(this.b, that.b);
return c;
}
}
class TupleLLL implements Comparable<TupleLLL> {
long a; long b; long c;
TupleLLL() { }
TupleLLL(long a, long b, long c) { this.a = a; this.b = b; this.c = c; }
@Override public String toString() { return "("+a+", "+b+", "+c+")"; }
@Override public int hashCode() { return Objects.hash(a, b, c); }
@Override
public boolean equals(Object obj) {
if(this == obj) return true;
if(obj == null || this.getClass() != obj.getClass()) return false;
TupleLLL that = (TupleLLL) obj;
if(this.a != that.a || this.b != that.b || this.c != that.c) return false;
return true;
}
@Override
public int compareTo(TupleLLL that) {
int c = Long.compare(this.a, that.a);
if(c == 0) c = Long.compare(this.b, that.b);
if(c == 0) c = Long.compare(this.c, that.c);
return c;
}
}
public void solve() {
PairLL p[] = npll(3);
PairLL ans = chineseRem(p);
prtln(ans.b == 0 ? -1 : ans.a == 0 ? ans.b : ans.a);
}
PairLL extGcd(long a, long b) {
TupleLLL s = new TupleLLL(a, 1, 0);
TupleLLL t = new TupleLLL(b, 0, 1);
while(t.a > 0) {
long tmp = s.a / t.a;
TupleLLL u = new TupleLLL(s.a - t.a * tmp, s.b - t.b * tmp, s.c - t.c * tmp);
s = t;
t = u;
}
return new PairLL(s.b, s.c);
}
PairLL chineseRem(PairLL[] ps) {
int num = ps.length;
PairLL ans = new PairLL(0, 1);
for(PairLL p : ps) {
ans = chineseRem(ans, p);
if(ans.a == 0 && ans.b == 0) return ans;
}
return ans;
}
PairLL chineseRem(PairLL p1, PairLL p2) {
PairLL ans = extGcd(p1.b, p2.b);
long gcd = gcd(p1.b, p2.b);
if((p2.a - p1.a) % gcd != 0) return new PairLL(0, 0);
long lcm = p1.b / gcd * p2.b;
long tmp = (p2.a - p1.a) / gcd * ans.a % (p2.b / gcd);
long r = (p1.a + p1.b * tmp) % lcm;
if(r < 0) r += lcm;
return new PairLL(r, lcm);
}
}
}