結果
| 問題 |
No.3162 Five Two Three
|
| ユーザー |
 kencho
|
| 提出日時 | 2025-05-05 05:40:12 |
| 言語 | Java (openjdk 23) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 27,298 bytes |
| コンパイル時間 | 5,031 ms |
| コンパイル使用メモリ | 92,684 KB |
| 実行使用メモリ | 58,884 KB |
| 最終ジャッジ日時 | 2025-05-05 05:40:54 |
| 合計ジャッジ時間 | 39,664 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 179 WA * 8 |
ソースコード
package FiveTwoThree;
import java.math.BigInteger;
import java.util.ArrayList;
public class WriterCodeWAGCD2 {
public static final int MOD998 = 998244353;
public static final int MOD100 = 1000000007;
public static void main(String[] args) throws Exception {
ContestScanner sc = new ContestScanner();
ContestPrinter cp = new ContestPrinter();
long X = sc.nextLong();
long Y = sc.nextLong();
long Z = sc.nextLong();
long[] fib = new long[90];
fib[1] = 1;
for (int i = 2; i < 90; i++) {
fib[i] = fib[i - 1] + fib[i - 2];
}
if (X == 0) {
if (Y == 0) {
if (Z == 0) {
cp.println(3);
cp.println("0 0 0");
} else {
cp.println(4);
cp.println("0 " + Z + " " + Z + " 0");
}
} else {
if (Z == 0) {
cp.println(5);
cp.println("0 " + Y + " " + Y + " 0 " + Y);
} else {
boolean found = false;
for (int i = 2; i < 80; i++) {
for (int j = 1; j < i; j++) {
if (Y % fib[i] == 0 && Z % fib[j] == 0 && Y / fib[i] == Z / fib[j]) {
cp.println(i + 1);
cp.print("0");
for (int n = 1; n <= i; n++) {
cp.print(" " + (fib[n] * (Y / fib[i])));
}
cp.println();
found = true;
break;
}
}
if (found) {
break;
}
}
if (!found) {
cp.println(-1);
}
}
}
} else {
if (Y == 0) {
if (Z == 0) {
cp.println(5);
cp.println(X + " 0 " + X + " " + X + " 0");
} else {
boolean found = false;
for (int i = 2; i < 80; i++) {
for (int j = 1; j < i; j++) {
if (X % fib[i] == 0 && Z % fib[j] == 0 && X / fib[i] == Z / fib[j]) {
cp.println(i + 1);
for (int n = i; n >= 1; n--) {
cp.print((fib[n] * (X / fib[i])) + " ");
}
cp.print("0");
cp.println();
found = true;
break;
}
}
if (found) {
break;
}
}
if (!found) {
cp.println(-1);
}
}
} else {
if (Z == 0) {
boolean found = false;
for (int i = 1; i < 80; i++) {
for (int j = 1; j < 80; j++) {
if (X % fib[i] == 0 && Y % fib[j] == 0 && X / fib[i] == Y / fib[j]) {
cp.println(i + j + 1);
for (int n = i; n >= 1; n--) {
cp.print((fib[n] * (X / fib[i])) + " ");
}
cp.print("0");
for (int n = 1; n <= j; n++) {
cp.print(" " + (fib[n] * (X / fib[i])));
}
cp.println();
found = true;
break;
}
}
if (found) {
break;
}
}
if (!found) {
cp.println(-1);
}
} else {
int min = 1000;
ArrayList<Long> ans = new ArrayList<>();
// rr
for (int i = 1; i < 80; i++) {
for (int j = 0; j < i; j++) {
// xa A + xb B = X
// ya A + yb B = Y
long xa = fib[j];
long xb = fib[j + 1];
long ya = fib[i];
long yb = fib[i + 1];
BigInteger ac = BigInteger.valueOf(X).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xb)));
BigInteger am = BigInteger.valueOf(xa).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(ya).multiply(BigInteger.valueOf(xb)));
BigInteger bc = BigInteger.valueOf(X).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xa)));
BigInteger bm = BigInteger.valueOf(xb).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(yb).multiply(BigInteger.valueOf(xa)));
if (!ac.remainder(am).equals(BigInteger.ZERO)
|| !bc.remainder(bm).equals(BigInteger.ZERO)) {
continue;
}
if (ac.divide(am).signum() == -1 || bc.divide(bm).signum() == -1) {
continue;
}
long a = ac.divide(am).longValue();
long b = bc.divide(bm).longValue();
ArrayList<Long> res = new ArrayList<>();
for (int k = j + 1; k < i; k++) {
res.add(fib[k] * a + fib[k + 1] * b);
}
if (res.size() < min && res.contains(Z)) {
min = res.size();
ans = res;
}
}
}
// ll
for (int i = 1; i < 80; i++) {
for (int j = 0; j < i; j++) {
// xa A + xb B = X
// ya A + yb B = Y
long xa = fib[i];
long xb = fib[i + 1];
long ya = fib[j];
long yb = fib[j + 1];
BigInteger ac = BigInteger.valueOf(X).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xb)));
BigInteger am = BigInteger.valueOf(xa).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(ya).multiply(BigInteger.valueOf(xb)));
BigInteger bc = BigInteger.valueOf(X).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xa)));
BigInteger bm = BigInteger.valueOf(xb).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(yb).multiply(BigInteger.valueOf(xa)));
if (!ac.remainder(am).equals(BigInteger.ZERO)
|| !bc.remainder(bm).equals(BigInteger.ZERO)) {
continue;
}
if (ac.divide(am).signum() == -1 || bc.divide(bm).signum() == -1) {
continue;
}
long a = ac.divide(am).longValue();
long b = bc.divide(bm).longValue();
ArrayList<Long> res = new ArrayList<>();
for (int k = i - 1; k > j; k--) {
res.add(fib[k] * a + fib[k + 1] * b);
}
if (res.size() < min && res.contains(Z)) {
min = res.size();
ans = res;
}
}
}
// lr
for (int i = 0; i < 80; i++) {
for (int j = 0; j < 80; j++) {
// xa A + xb B = X
// ya A + yb B = Y
long xa = fib[i + 1];
long xb = fib[i];
long ya = fib[j];
long yb = fib[j + 1];
if (xa * yb - ya * xb == 0) {
if (X == Y && Z <= X) {
min = 2;
ans = new ArrayList<>();
ans.add(Z);
ans.add(X - Z);
}
} else {
BigInteger ac = BigInteger.valueOf(X).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xb)));
BigInteger am = BigInteger.valueOf(xa).multiply(BigInteger.valueOf(yb))
.subtract(BigInteger.valueOf(ya).multiply(BigInteger.valueOf(xb)));
BigInteger bc = BigInteger.valueOf(X).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(Y).multiply(BigInteger.valueOf(xa)));
BigInteger bm = BigInteger.valueOf(xb).multiply(BigInteger.valueOf(ya))
.subtract(BigInteger.valueOf(yb).multiply(BigInteger.valueOf(xa)));
if (!ac.remainder(am).equals(BigInteger.ZERO)
|| !bc.remainder(bm).equals(BigInteger.ZERO)) {
continue;
}
if (ac.divide(am).signum() == -1 || bc.divide(bm).signum() == -1) {
continue;
}
long a = ac.divide(am).longValue();
long b = bc.divide(bm).longValue();
ArrayList<Long> res = new ArrayList<>();
for (int k = i - 1; k >= 0; k--) {
res.add(fib[k + 1] * a + fib[k] * b);
}
for (int k = 0; k < j; k++) {
res.add(fib[k] * a + fib[k + 1] * b);
}
if (res.size() < min && res.contains(Z)) {
min = res.size();
ans = res;
}
}
}
}
if (Y % MathLib.gcd(X, Z) != 0) {
min = 1000;
}
// prt
if (min == 1000) {
cp.println(-1);
} else {
cp.println(min + 2);
cp.print(X + " ");
for (long l : ans) {
cp.print(l + " ");
}
cp.print(Y);
cp.println();
}
}
}
}
cp.close();
}
static class MathLib {
private static long safe_mod(long x, long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
private static long[] inv_gcd(long a, long b) {
a = safe_mod(a, b);
if (a == 0)
return new long[] { b, 0 };
long s = b, t = a;
long m0 = 0, m1 = 1;
while (t > 0) {
long u = s / t;
s -= t * u;
m0 -= m1 * u;
long tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0)
m0 += b / s;
return new long[] { s, m0 };
}
public static long gcd(long a, long b) {
a = java.lang.Math.abs(a);
b = java.lang.Math.abs(b);
if (a == 0) {
return b;
} else if (b == 0) {
return a;
}
return inv_gcd(a, b)[0];
}
public static long lcm(long a, long b) {
a = java.lang.Math.abs(a);
b = java.lang.Math.abs(b);
return a / gcd(a, b) * b;
}
public static long pow_mod(long x, long n, int m) {
assert n >= 0;
assert m >= 1;
if (m == 1)
return 0L;
x = safe_mod(x, m);
long ans = 1L;
while (n > 0) {
if ((n & 1) == 1)
ans = (ans * x) % m;
x = (x * x) % m;
n >>>= 1;
}
return ans;
}
public static long[] crt(long[] r, long[] m) {
assert (r.length == m.length);
int n = r.length;
long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert (1 <= m[i]);
long r1 = safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
long tmp = r0;
r0 = r1;
r1 = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return new long[] { 0, 0 };
continue;
}
long[] ig = inv_gcd(m0, m1);
long g = ig[0], im = ig[1];
long u1 = m1 / g;
if ((r1 - r0) % g != 0)
return new long[] { 0, 0 };
long x = (r1 - r0) / g % u1 * im % u1;
r0 += x * m0;
m0 *= u1;
if (r0 < 0)
r0 += m0;
// System.err.printf("%d %d\n", r0, m0);
}
return new long[] { r0, m0 };
}
public static long floor_sum(long n, long m, long a, long b) {
long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long y_max = (a * n + b) / m;
long x_max = y_max * m - b;
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
public static java.util.ArrayList<Long> divisors(long n) {
java.util.ArrayList<Long> divisors = new ArrayList<>();
java.util.ArrayList<Long> large = new ArrayList<>();
for (long i = 1; i * i <= n; i++)
if (n % i == 0) {
divisors.add(i);
if (i * i < n)
large.add(n / i);
}
for (int p = large.size() - 1; p >= 0; p--) {
divisors.add(large.get(p));
}
return divisors;
}
}
static class ContestScanner {
private final java.io.InputStream in;
private final byte[] buffer = new byte[1024];
private int ptr = 0;
private int buflen = 0;
private static final long LONG_MAX_TENTHS = 922337203685477580L;
private static final int LONG_MAX_LAST_DIGIT = 7;
private static final int LONG_MIN_LAST_DIGIT = 8;
public ContestScanner(java.io.InputStream in) {
this.in = in;
}
public ContestScanner() {
this(System.in);
}
private boolean hasNextByte() {
if (ptr < buflen) {
return true;
} else {
ptr = 0;
try {
buflen = in.read(buffer);
} catch (java.io.IOException e) {
e.printStackTrace();
}
if (buflen <= 0) {
return false;
}
}
return true;
}
private int readByte() {
if (hasNextByte())
return buffer[ptr++];
else
return -1;
}
private static boolean isPrintableChar(int c) {
return 33 <= c && c <= 126;
}
public boolean hasNext() {
while (hasNextByte() && !isPrintableChar(buffer[ptr]))
ptr++;
return hasNextByte();
}
public String next() {
if (!hasNext())
throw new java.util.NoSuchElementException();
StringBuilder sb = new StringBuilder();
int b = readByte();
while (isPrintableChar(b)) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
public long nextLong() {
if (!hasNext())
throw new java.util.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') {
int digit = b - '0';
if (n >= LONG_MAX_TENTHS) {
if (n == LONG_MAX_TENTHS) {
if (minus) {
if (digit <= LONG_MIN_LAST_DIGIT) {
n = -n * 10 - digit;
b = readByte();
if (!isPrintableChar(b)) {
return n;
} else if (b < '0' || '9' < b) {
throw new NumberFormatException(
String.format("%d%s... is not number", n, Character.toString(b)));
}
}
} else {
if (digit <= LONG_MAX_LAST_DIGIT) {
n = n * 10 + digit;
b = readByte();
if (!isPrintableChar(b)) {
return n;
} else if (b < '0' || '9' < b) {
throw new NumberFormatException(
String.format("%d%s... is not number", n, Character.toString(b)));
}
}
}
}
throw new ArithmeticException(
String.format("%s%d%d... overflows long.", minus ? "-" : "", n, digit));
}
n = n * 10 + digit;
} else if (b == -1 || !isPrintableChar(b)) {
return minus ? -n : n;
} else {
throw new NumberFormatException();
}
b = readByte();
}
}
public int nextInt() {
long nl = nextLong();
if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
throw new NumberFormatException();
return (int) nl;
}
public double nextDouble() {
return Double.parseDouble(next());
}
public long[] nextLongArray(int length) {
long[] array = new long[length];
for (int i = 0; i < length; i++)
array[i] = this.nextLong();
return array;
}
public long[] nextLongArray(int length, java.util.function.LongUnaryOperator map) {
long[] array = new long[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsLong(this.nextLong());
return array;
}
public int[] nextIntArray(int length) {
int[] array = new int[length];
for (int i = 0; i < length; i++)
array[i] = this.nextInt();
return array;
}
public int[][] nextIntArrayMulti(int length, int width) {
int[][] arrays = new int[width][length];
for (int i = 0; i < length; i++) {
for (int j = 0; j < width; j++)
arrays[j][i] = this.nextInt();
}
return arrays;
}
public int[] nextIntArray(int length, java.util.function.IntUnaryOperator map) {
int[] array = new int[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsInt(this.nextInt());
return array;
}
public double[] nextDoubleArray(int length) {
double[] array = new double[length];
for (int i = 0; i < length; i++)
array[i] = this.nextDouble();
return array;
}
public double[] nextDoubleArray(int length, java.util.function.DoubleUnaryOperator map) {
double[] array = new double[length];
for (int i = 0; i < length; i++)
array[i] = map.applyAsDouble(this.nextDouble());
return array;
}
public long[][] nextLongMatrix(int height, int width) {
long[][] mat = new long[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++) {
mat[h][w] = this.nextLong();
}
return mat;
}
public int[][] nextIntMatrix(int height, int width) {
int[][] mat = new int[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++) {
mat[h][w] = this.nextInt();
}
return mat;
}
public double[][] nextDoubleMatrix(int height, int width) {
double[][] mat = new double[height][width];
for (int h = 0; h < height; h++)
for (int w = 0; w < width; w++) {
mat[h][w] = this.nextDouble();
}
return mat;
}
public char[][] nextCharMatrix(int height, int width) {
char[][] mat = new char[height][width];
for (int h = 0; h < height; h++) {
String s = this.next();
for (int w = 0; w < width; w++) {
mat[h][w] = s.charAt(w);
}
}
return mat;
}
}
static class ContestPrinter extends java.io.PrintWriter {
public ContestPrinter(java.io.PrintStream stream) {
super(stream);
}
public ContestPrinter() {
super(System.out);
}
private static String dtos(double x, int n) {
StringBuilder sb = new StringBuilder();
if (x < 0) {
sb.append('-');
x = -x;
}
x += Math.pow(10, -n) / 2;
sb.append((long) x);
sb.append(".");
x -= (long) x;
for (int i = 0; i < n; i++) {
x *= 10;
sb.append((int) x);
x -= (int) x;
}
return sb.toString();
}
@Override
public void print(float f) {
super.print(dtos(f, 20));
}
@Override
public void println(float f) {
super.println(dtos(f, 20));
}
@Override
public void print(double d) {
super.print(dtos(d, 20));
}
@Override
public void println(double d) {
super.println(dtos(d, 20));
}
public void printArray(int[] array, String separator) {
int n = array.length;
for (int i = 0; i < n - 1; i++) {
super.print(array[i]);
super.print(separator);
}
super.println(array[n - 1]);
}
public void printArray(int[] array) {
this.printArray(array, " ");
}
public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) {
int n = array.length;
for (int i = 0; i < n - 1; i++) {
super.print(map.applyAsInt(array[i]));
super.print(separator);
}
super.println(map.applyAsInt(array[n - 1]));
}
public void printArray(int[] array, java.util.function.IntUnaryOperator map) {
this.printArray(array, " ", map);
}
public void printArray(long[] array, String separator) {
int n = array.length;
for (int i = 0; i < n - 1; i++) {
super.print(array[i]);
super.print(separator);
}
super.println(array[n - 1]);
}
public void printArray(long[] array) {
this.printArray(array, " ");
}
public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) {
int n = array.length;
for (int i = 0; i < n - 1; i++) {
super.print(map.applyAsLong(array[i]));
super.print(separator);
}
super.println(map.applyAsLong(array[n - 1]));
}
public void printArray(long[] array, java.util.function.LongUnaryOperator map) {
this.printArray(array, " ", map);
}
}
}