結果
問題 | No.1927 AB-CD |
ユーザー |
![]() |
提出日時 | 2022-03-28 11:45:03 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 165 ms / 2,000 ms |
コード長 | 32,421 bytes |
コンパイル時間 | 3,589 ms |
コンパイル使用メモリ | 93,344 KB |
実行使用メモリ | 48,572 KB |
最終ジャッジ日時 | 2024-11-07 03:02:05 |
合計ジャッジ時間 | 8,980 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 27 |
ソースコード
import java.util.*;import java.io.*;class Main {private static final void solve() {int n = ni();var s = ns().toCharArray();t(n == s.length);int l = 0, r = 0;for (char c : s) {if (c == 'A' || c == 'B')l++;else if (c == 'C' || c == 'D')r++;elset(false);}var fa = new ModIntFactory(998244353);ou.println(fa.combination(l + r, r));}private static final void t(boolean t) {if (!t)System.exit(1);}public static void main(String[] args) {solve();ou.flush();}private static final ContestScanner sc = new ContestScanner();private static final ContestPrinter ou = new ContestPrinter();private static final int ni() {return sc.nextInt();}private static final int[] ni(int n) {return sc.nextIntArray(n);}private static final long nl() {return sc.nextLong();}private static final long[] nl(int n) {return sc.nextLongArray(n);}private static final String ns() {return sc.next();}private static final double nd() {return sc.nextDouble();}}class ModIntFactory {private final ModArithmetic ma;private final int mod;private final boolean usesMontgomery;private final ModArithmetic.ModArithmeticMontgomery maMontgomery;private ArrayList<Integer> factorial;public ModIntFactory(int mod) {this.ma = ModArithmetic.of(mod);this.usesMontgomery = ma instanceof ModArithmetic.ModArithmeticMontgomery;this.maMontgomery = usesMontgomery ? (ModArithmetic.ModArithmeticMontgomery) ma : null;this.mod = mod;this.factorial = new ArrayList<>();}public ModIntFactory(double mod) {this((int) mod);}public ModInt create(long value) {if ((value %= mod) < 0)value += mod;if (usesMontgomery) {return new ModInt(maMontgomery.generate(value));} else {return new ModInt((int) value);}}private void prepareFactorial(int max) {factorial.ensureCapacity(max + 1);if (factorial.size() == 0)factorial.add(1);for (int i = factorial.size(); i <= max; i++) {if (usesMontgomery)factorial.add(ma.mul(factorial.get(i - 1), maMontgomery.generate(i)));elsefactorial.add(ma.mul(factorial.get(i - 1), i));}}public ModInt factorial(int i) {prepareFactorial(i);return create(factorial.get(i));}public ModInt permutation(int n, int r) {if (n < 0 || r < 0 || n < r)return create(0);prepareFactorial(n);return create(ma.div(factorial.get(n), factorial.get(r)));}public ModInt combination(int n, int r) {if (n < 0 || r < 0 || n < r)return create(0);prepareFactorial(n);return create(ma.div(factorial.get(n), ma.mul(factorial.get(r), factorial.get(n - r))));}public int getMod() {return mod;}public class ModInt {private int value;private ModInt(int value) {this.value = value;}public int mod() {return mod;}public int value() {if (usesMontgomery) {return maMontgomery.reduce(value);}return value;}public ModInt add(ModInt mi) {return new ModInt(ma.add(value, mi.value));}public ModInt add(ModInt mi1, ModInt mi2) {return new ModInt(ma.add(value, mi1.value)).addAsg(mi2);}public ModInt add(ModInt mi1, ModInt mi2, ModInt mi3) {return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3);}public ModInt add(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {return new ModInt(ma.add(value, mi1.value)).addAsg(mi2).addAsg(mi3).addAsg(mi4);}public ModInt add(ModInt mi1, ModInt... mis) {ModInt mi = add(mi1);for (ModInt m : mis)mi.addAsg(m);return mi;}public ModInt add(long mi) {return new ModInt(ma.add(value, ma.remainder(mi)));}public ModInt sub(ModInt mi) {return new ModInt(ma.sub(value, mi.value));}public ModInt sub(long mi) {return new ModInt(ma.sub(value, ma.remainder(mi)));}public ModInt mul(ModInt mi) {return new ModInt(ma.mul(value, mi.value));}public ModInt mul(ModInt mi1, ModInt mi2) {return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2);}public ModInt mul(ModInt mi1, ModInt mi2, ModInt mi3) {return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3);}public ModInt mul(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {return new ModInt(ma.mul(value, mi1.value)).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);}public ModInt mul(ModInt mi1, ModInt... mis) {ModInt mi = mul(mi1);for (ModInt m : mis)mi.mulAsg(m);return mi;}public ModInt mul(long mi) {return new ModInt(ma.mul(value, ma.remainder(mi)));}public ModInt div(ModInt mi) {return new ModInt(ma.div(value, mi.value));}public ModInt div(long mi) {return new ModInt(ma.div(value, ma.remainder(mi)));}public ModInt inv() {return new ModInt(ma.inv(value));}public ModInt pow(long b) {return new ModInt(ma.pow(value, b));}public ModInt pow(ModInt mi) {return new ModInt(ma.pow(value, mi.value));}public ModInt addAsg(ModInt mi) {this.value = ma.add(value, mi.value);return this;}public ModInt addAsg(ModInt mi1, ModInt mi2) {return addAsg(mi1).addAsg(mi2);}public ModInt addAsg(ModInt mi1, ModInt mi2, ModInt mi3) {return addAsg(mi1).addAsg(mi2).addAsg(mi3);}public ModInt addAsg(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {return addAsg(mi1).addAsg(mi2).addAsg(mi3).addAsg(mi4);}public ModInt addAsg(ModInt... mis) {for (ModInt m : mis)addAsg(m);return this;}public ModInt addAsg(long mi) {this.value = ma.add(value, ma.remainder(mi));return this;}public ModInt subAsg(ModInt mi) {this.value = ma.sub(value, mi.value);return this;}public ModInt subAsg(long mi) {this.value = ma.sub(value, ma.remainder(mi));return this;}public ModInt mulAsg(ModInt mi) {this.value = ma.mul(value, mi.value);return this;}public ModInt mulAsg(ModInt mi1, ModInt mi2) {return mulAsg(mi1).mulAsg(mi2);}public ModInt mulAsg(ModInt mi1, ModInt mi2, ModInt mi3) {return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3);}public ModInt mulAsg(ModInt mi1, ModInt mi2, ModInt mi3, ModInt mi4) {return mulAsg(mi1).mulAsg(mi2).mulAsg(mi3).mulAsg(mi4);}public ModInt mulAsg(ModInt... mis) {for (ModInt m : mis)mulAsg(m);return this;}public ModInt mulAsg(long mi) {this.value = ma.mul(value, ma.remainder(mi));return this;}public ModInt divAsg(ModInt mi) {this.value = ma.div(value, mi.value);return this;}public ModInt divAsg(long mi) {this.value = ma.div(value, ma.remainder(mi));return this;}public ModInt powAsg(ModInt mi) {this.value = ma.pow(value, mi.value());return this;}public ModInt powAsg(long mi) {this.value = ma.pow(value, mi);return this;}@Overridepublic String toString() {return String.valueOf(value());}@Overridepublic boolean equals(Object o) {if (o instanceof ModInt) {ModInt mi = (ModInt) o;return mod() == mi.mod() && value() == mi.value();}return false;}@Overridepublic int hashCode() {return (1 * 37 + mod()) * 37 + value();}}private static abstract class ModArithmetic {abstract int mod();abstract int remainder(long value);abstract int add(int a, int b);abstract int sub(int a, int b);abstract int mul(int a, int b);int div(int a, int b) {return mul(a, inv(b));}int inv(int a) {int b = mod();if (b == 1)return 0;long u = 1, v = 0;while (b >= 1) {int t = a / b;a -= t * b;int tmp1 = a;a = b;b = tmp1;u -= t * v;long tmp2 = u;u = v;v = tmp2;}if (a != 1)throw new ArithmeticException("divide by zero");return remainder(u);}int pow(int a, long b) {if (b < 0)throw new ArithmeticException("negative power");int r = 1;int x = a;while (b > 0) {if ((b & 1) == 1)r = mul(r, x);x = mul(x, x);b >>= 1;}return r;}static ModArithmetic of(int mod) {if (mod <= 0) {throw new IllegalArgumentException();} else if (mod == 1) {return new ModArithmetic1();} else if (mod == 2) {return new ModArithmetic2();} else if (mod == 998244353) {return new ModArithmetic998244353();} else if (mod == 1000000007) {return new ModArithmetic1000000007();} else if ((mod & 1) == 1) {return new ModArithmeticMontgomery(mod);} else {return new ModArithmeticBarrett(mod);}}private static final class ModArithmetic1 extends ModArithmetic {int mod() {return 1;}int remainder(long value) {return 0;}int add(int a, int b) {return 0;}int sub(int a, int b) {return 0;}int mul(int a, int b) {return 0;}int pow(int a, long b) {return 0;}}private static final class ModArithmetic2 extends ModArithmetic {int mod() {return 2;}int remainder(long value) {return (int) (value & 1);}int add(int a, int b) {return a ^ b;}int sub(int a, int b) {return a ^ b;}int mul(int a, int b) {return a & b;}}private static final class ModArithmetic998244353 extends ModArithmetic {private final int mod = 998244353;int mod() {return mod;}int remainder(long value) {return (int) ((value %= mod) < 0 ? value + mod : value);}int add(int a, int b) {int res = a + b;return res >= mod ? res - mod : res;}int sub(int a, int b) {int res = a - b;return res < 0 ? res + mod : res;}int mul(int a, int b) {return (int) (((long) a * b) % mod);}}private static final class ModArithmetic1000000007 extends ModArithmetic {private final int mod = 1000000007;int mod() {return mod;}int remainder(long value) {return (int) ((value %= mod) < 0 ? value + mod : value);}int add(int a, int b) {int res = a + b;return res >= mod ? res - mod : res;}int sub(int a, int b) {int res = a - b;return res < 0 ? res + mod : res;}int mul(int a, int b) {return (int) (((long) a * b) % mod);}}private static final class ModArithmeticMontgomery extends ModArithmeticDynamic {private final long negInv;private final long r2;private ModArithmeticMontgomery(int mod) {super(mod);long inv = 0;long s = 1, t = 0;for (int i = 0; i < 32; i++) {if ((t & 1) == 0) {t += mod;inv += s;}t >>= 1;s <<= 1;}long r = (1l << 32) % mod;this.negInv = inv;this.r2 = (r * r) % mod;}private int generate(long x) {return reduce(x * r2);}private int reduce(long x) {x = (x + ((x * negInv) & 0xffff_ffffl) * mod) >>> 32;return (int) (x < mod ? x : x - mod);}@Overrideint remainder(long value) {return generate((value %= mod) < 0 ? value + mod : value);}@Overrideint mul(int a, int b) {return reduce((long) a * b);}@Overrideint inv(int a) {return super.inv(reduce(a));}@Overrideint pow(int a, long b) {return generate(super.pow(a, b));}}private static final class ModArithmeticBarrett extends ModArithmeticDynamic {private static final long mask = 0xffff_ffffl;private final long mh;private final long ml;private ModArithmeticBarrett(int mod) {super(mod);long a = (1l << 32) / mod;long b = (1l << 32) % mod;long m = a * a * mod + 2 * a * b + (b * b) / mod;mh = m >>> 32;ml = m & mask;}private int reduce(long x) {long z = (x & mask) * ml;z = (x & mask) * mh + (x >>> 32) * ml + (z >>> 32);z = (x >>> 32) * mh + (z >>> 32);x -= z * mod;return (int) (x < mod ? x : x - mod);}@Overrideint remainder(long value) {return (int) ((value %= mod) < 0 ? value + mod : value);}@Overrideint mul(int a, int b) {return reduce((long) a * b);}}private static class ModArithmeticDynamic extends ModArithmetic {final int mod;ModArithmeticDynamic(int mod) {this.mod = mod;}int mod() {return mod;}int remainder(long value) {return (int) ((value %= mod) < 0 ? value + mod : value);}int add(int a, int b) {int sum = a + b;return sum >= mod ? sum - mod : sum;}int sub(int a, int b) {int sum = a - b;return sum < 0 ? sum + mod : sum;}int mul(int a, int b) {return (int) (((long) a * b) % mod);}}}}final class ContestScanner {private final InputStream in;private final byte[] buffer = new byte[1024];private int ptr = 0;private int buflen = 0;public ContestScanner(InputStream in) {this.in = in;}public ContestScanner() {this(System.in);}private boolean hasNextByte() {if (ptr < buflen)return true;ptr = 0;try {buflen = in.read(buffer);} catch (IOException e) {e.printStackTrace();}return buflen > 0;}private int readByte() {return hasNextByte() ? buffer[ptr++] : -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 NoSuchElementException();StringBuilder sb = new StringBuilder();int b = readByte();while (isPrintableChar(b)) {sb.appendCodePoint(b);b = readByte();}return sb.toString();}public void nextThrow(int n) {for (int i = 0; i < n; i++)this.next();}public void nextThrow() {this.nextThrow(1);}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 *= 10;n += b - '0';} else if (b == -1 || !isPrintableChar(b))return minus ? -n : n;elsethrow 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 boolean[] nextBoolean(char True) {String s = this.next();int n = s.length();boolean[] array = new boolean[n];for (int i = 0; i < n; i++)array[i] = s.charAt(i) == True;return array;}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 long[] nextLongArray(int length, long[] a) {long[] array = new long[length + a.length];for (int i = 0; i < length; i++)array[i] = this.nextLong();for (int i = length; i < array.length; i++)array[i] = a[i - length];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[] 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 int[] nextIntArray(int length, int[] array) {int n = length + array.length;int[] a = new int[n];for (int i = 0; i < length; i++)a[i] = this.nextInt();for (int i = length; i < n; i++)a[i] = array[i - length];return a;}public Integer[] nextIntegerArray(int length, java.util.function.IntUnaryOperator map) {Integer[] array = new Integer[length];for (int i = 0; i < length; i++)array[i] = map.applyAsInt(this.nextInt());return array;}public Integer[] nextIntegerArray(int length) {Integer[] array = new Integer[length];for (int i = 0; i < length; i++)array[i] = 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 String[] nextArray(int length) {String[] array = new String[length];for (int i = 0; i < length; i++)array[i] = this.next();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 long[][] nextLongMatrix(int height, int width, java.util.function.LongUnaryOperator map) {long[][] mat = new long[height][width];for (int h = 0; h < height; h++)for (int w = 0; w < width; w++)mat[h][w] = map.applyAsLong(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 int[][] nextIntMatrix(int height, int width, java.util.function.IntUnaryOperator map) {int[][] mat = new int[height][width];for (int h = 0; h < height; h++)for (int w = 0; w < width; w++)mat[h][w] = map.applyAsInt(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 boolean[][] nextBooleanMatrix(int height, int width, char True) {boolean[][] mat = new boolean[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) == True;}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;}}final class ContestPrinter extends PrintWriter {public ContestPrinter(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();}@Overridepublic void print(float f) {super.print(dtos(f, 20));}@Overridepublic void println(float f) {super.println(dtos(f, 20));}@Overridepublic void print(double d) {super.print(dtos(d, 20));}@Overridepublic void println(double d) {super.println(dtos(d, 20));}public void printlnArray(String[] array) {for (String i : array)super.println(i);}public void printSpace(Object... o) {int n = o.length - 1;for (int i = 0; i < n; i++) {super.print(o[i]);super.print(" ");}super.println(o[n]);}public void println(Object... o) {int n = o.length - 1;for (int i = 0; i < n; i++)super.print(o[i]);super.println(o[n]);}public void printYN(boolean o) {super.println(o ? "Yes" : "No");}public void print(Object... o) {int n = o.length - 1;for (int i = 0; i < n; i++)super.print(o[i]);super.print(o[n]);}public void printArray(Object[] array) {int n = array.length - 1;for (int i = 0; i < n; i++) {super.print(array[i]);super.print(" ");}super.println(array[n]);}public void printlnArray(Object[] array) {for (Object i : array)super.println(i);}public void printArray(int[] array, String separator) {int n = array.length - 1;if (n == -1)return;for (int i = 0; i < n; i++) {super.print(array[i]);super.print(separator);}super.println(array[n]);}public void printArray(int[] array) {this.printArray(array, " ");}public void printArray(Integer[] array) {this.printArray(array, " ");}public void printArray(Integer[] array, String separator) {int n = array.length - 1;for (int i = 0; i < n; i++) {super.print(array[i]);super.print(separator);}super.println(array[n]);}public void printlnArray(int[] array) {for (int i : array)super.println(i);}public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) {int n = array.length - 1;for (int i = 0; i < n; i++) {super.print(map.applyAsInt(array[i]));super.print(separator);}super.println(map.applyAsInt(array[n]));}public void printlnArray(int[] array, java.util.function.IntUnaryOperator map) {for (int i : array)super.println(map.applyAsInt(i));}public void printlnArray(long[] array, java.util.function.LongUnaryOperator map) {for (long i : array)super.println(map.applyAsLong(i));}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 - 1;for (int i = 0; i < n; i++) {super.print(array[i]);super.print(separator);}super.println(array[n]);}public void printArray(long[] array) {this.printArray(array, " ");}public void printlnArray(long[] array) {for (long i : array)super.println(i);}public void printArray(double[] array) {printArray(array, " ");}public void printArray(double[] array, String separator) {int n = array.length - 1;for (int i = 0; i < n; i++) {super.print(array[i]);super.print(separator);}super.println(array[n]);}public void printlnArray(double[] array) {for (double i : array)super.println(i);}public void printArray(boolean[] array, String a, String b) {int n = array.length - 1;for (int i = 0; i < n; i++)super.print((array[i] ? a : b) + " ");super.println(array[n] ? a : b);}public void printArray(boolean[] array) {this.printArray(array, "Y", "N");}public void printArray(char[] array) {for (char c : array)this.print(c);this.println();}public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) {int n = array.length - 1;for (int i = 0; i < n; i++) {super.print(map.applyAsLong(array[i]));super.print(separator);}super.println(map.applyAsLong(array[n]));}public void printArray(long[] array, java.util.function.LongUnaryOperator map) {this.printArray(array, " ", map);}public void printArray(ArrayList<?> array) {this.printArray(array, " ");}public void printArray(ArrayList<?> array, String separator) {int n = array.size() - 1;if (n == -1)return;for (int i = 0; i < n; i++) {super.print(array.get(i).toString());super.print(separator);}super.println(array.get(n).toString());}public void printlnArray(ArrayList<?> array) {int n = array.size();for (int i = 0; i < n; i++)super.println(array.get(i).toString());}public void printlnArray(ArrayList<Integer> array, java.util.function.IntUnaryOperator map) {int n = array.size();for (int i = 0; i < n; i++)super.println(map.applyAsInt(array.get(i)));}public void printlnArray(ArrayList<Long> array, java.util.function.LongUnaryOperator map) {int n = array.size();for (int i = 0; i < n; i++)super.println(map.applyAsLong(array.get(i)));}public void printArray(int[][] array) {for (int[] a : array)this.printArray(a);}public void printArray(int[][] array, java.util.function.IntUnaryOperator map) {for (int[] a : array)this.printArray(a, map);}public void printArray(long[][] array) {int n = array.length;if (n == 0)return;int m = array[0].length - 1;for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++)super.print(array[i][j] + " ");super.println(array[i][m]);}}public void printArray(long[][] array, java.util.function.LongUnaryOperator map) {int n = array.length;if (n == 0)return;int m = array[0].length - 1;for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {super.print(map.applyAsLong(array[i][j]));super.print(" ");}super.println(map.applyAsLong(array[i][m]));}}public void printArray(boolean[][] array) {int n = array.length;if (n == 0)return;int m = array[0].length - 1;for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++)super.print(array[i][j] ? "○ " : "× ");super.println(array[i][m] ? "○" : "×");}}public void printArray(char[][] array) {int n = array.length;if (n == 0)return;int m = array[0].length;for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++)super.print(array[i][j]);super.println();}}}