結果
| 問題 | No.109 N! mod M |
| ユーザー |
 atn112323
|
| 提出日時 | 2016-03-28 23:53:18 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 12,410 bytes |
| コンパイル時間 | 3,569 ms |
| コンパイル使用メモリ | 81,716 KB |
| 実行使用メモリ | 40,696 KB |
| 最終ジャッジ日時 | 2024-10-02 06:53:07 |
| 合計ジャッジ時間 | 4,648 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge1 |
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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 | 95 ms
38,380 KB |
| testcase_01 | WA | - |
| testcase_02 | AC | 163 ms
40,552 KB |
| testcase_03 | AC | 100 ms
38,876 KB |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | AC | 100 ms
39,984 KB |
ソースコード
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {
/**
* This class represents a problem setting.
*/
class Problem implements IProblem {
int T;
int[][] NM;
@Override
public void set(ProblemReader reader) throws IOException {
T = reader.nextInt();
NM = reader.nextIntArray2(T);
}
@Override
public String toString() {
// TODO
return null;
}
}
/**
* Solver for the problem.
* It's the most important part of codes in this file.
*/
class Solver implements IProblemSolver<Problem> {
@Override
public String solve(Problem problem) {
int T = problem.T;
int[] res = new int[T];
for (int i = 0; i < T; i++) {
long N = problem.NM[i][0], M = problem.NM[i][1];
res[i] = solve(N, M);
}
return StringUtils.toString(res, "\n");
}
private int solve(long N, long M) {
if (N >= M) {
return 0;
}
if (N <= 100000) {
long res = 1;
for (int i = 2; i <= N; i++) {
res = (res * i) % M;
}
return (int)res;
} else {
if (isPrime(M)) {
long a = 1;
for (long b = N + 1; b <= M - 1; b++) {
a = (a * b) % M;
}
long aa = pow(a, M - 2, M);
return (int)((M - 1) * aa % M);
} else {
return 0;
}
}
}
private boolean isPrime(long a) {
for (long d = 2; d * d <= a; d++) {
if (a % d == 0) {
return false;
}
}
return true;
}
private long pow(long x, long n, long mod) {
long res = 1;
while (n > 0) {
if ((n & 1) == 1) {
res = (res * x) % mod;
}
x *= x;
n >>= 1;
}
return res;
}
}
/**
* This class is a solver to confirm the main solver.
* This solver often works only for a problem with a small number setting.
*/
class Solver2 implements IProblemSolver<Problem> {
@Override
public String solve(Problem problem) {
// TODO
return null;
}
}
class Factory implements IProblemFactory<Problem> {
@Override
public Problem newProblem() {
// TODO
return null;
}
@Override
public Problem newProblem(ProblemReader reader) throws IOException {
Problem problem = new Problem();
problem.set(reader);
return problem;
}
}
class ResultComparator implements IResultComparator {
@Override
public boolean same(String res1, String res2) {
// TODO
return res1.equals(res2);
}
}
ProblemProcessor<Problem> processor;
Main() {
Init();
}
void Init() {
ProblemProcessorConfig<Problem> config = new ProblemProcessorConfig<>();
config.factory = new Factory();
config.solver = new Solver();
config.solver2 = new Solver2();
config.comparator = new ResultComparator();
processor = new ProblemProcessor<Problem>(config);
}
void process(String mode) throws IOException {
processor.process(mode);
}
public static void main(String args[]) throws IOException {
// "create", "debug", and "solve"
String mode = "solve";
new Main().process(mode);
}
/*
Common library
*/
interface IProblem {
abstract void set(ProblemReader reader) throws IOException;
}
interface IProblemFactory<P extends IProblem> {
abstract P newProblem();
abstract P newProblem(ProblemReader reader) throws IOException;
}
interface IProblemSolver<P extends IProblem> {
abstract String solve(P problem);
}
interface IResultComparator {
abstract boolean same(String res1, String res2);
}
class ProblemReader {
BufferedReader br = null;
ProblemReader() {
br = new BufferedReader(new InputStreamReader(System.in));
}
int nextInt() throws IOException {
return StringUtils.toInt(br.readLine());
}
long nextLong() throws IOException {
return StringUtils.toLong(br.readLine());
}
double nextDouble() throws IOException {
return StringUtils.toDouble(br.readLine());
}
String nextString() throws IOException {
return br.readLine();
}
int[] nextIntArray() throws IOException {
return StringUtils.toIntArray(br.readLine());
}
long[] nextLongArray() throws IOException {
return StringUtils.toLongArray(br.readLine());
}
double[] nextDoubleArray() throws IOException {
return StringUtils.toDoubleArray(br.readLine());
}
String[] nextStringArray() throws IOException {
return StringUtils.toStringArray(br.readLine());
}
int[] nextIntArray(int n) throws IOException {
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = nextInt();
}
return a;
}
long[] nextLongArray(int n) throws IOException {
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = nextLong();
}
return a;
}
double[] nextDoubleArray(int n) throws IOException {
double[] a = new double[n];
for (int i = 0; i < n; i++) {
a[i] = nextDouble();
}
return a;
}
String[] nextStringArray(int n) throws IOException {
String[] strs = new String[n];
for (int i = 0; i < n; i++) {
strs[i] = nextString();
}
return strs;
}
int[][] nextIntArray2(int n) throws IOException {
int[][] a = new int[n][];
for (int i = 0; i < n; i++) {
a[i] = nextIntArray();
}
return a;
}
long[][] nextLongArray2(int n) throws IOException {
long[][] a = new long[n][];
for (int i = 0; i < n; i++) {
a[i] = nextLongArray();
}
return a;
}
double[][] nextDoubleArray2(int n) throws IOException {
double[][] a = new double[n][];
for (int i = 0; i < n; i++) {
a[i] = nextDoubleArray();
}
return a;
}
String[][] nextStringArray2(int n) throws IOException {
String[][] strs = new String[n][];
for (int i = 0; i < n; i++) {
strs[i] = nextStringArray();
}
return strs;
}
void close() throws IOException {
if (br != null) {
br.close();
}
}
}
class ProblemCreator<P extends IProblem> {
IProblemFactory<P> factory;
ProblemCreator(IProblemFactory<P> factory) {
this.factory = factory;
}
void create() throws FileNotFoundException {
P problem = factory.newProblem();
System.out.println(problem.toString());
}
}
class ProblemSolverComparator<P extends IProblem> {
IProblemFactory<P> factory;
IProblemSolver<P> solver1, solver2;
IResultComparator comparator;
ProblemSolverComparator(IProblemFactory<P> factory, IProblemSolver<P> solver1, IProblemSolver<P> solver2, IResultComparator comparator) {
this.factory = factory;
this.solver1 = solver1;
this.solver2 = solver2;
this.comparator = comparator;
}
void compare() throws IOException {
ProblemReader reader = null;
try {
reader = new ProblemReader();
P problem = factory.newProblem(reader);
String res1 = solver1.solve(problem);
String res2 = solver2.solve(problem);
if (comparator.same(res1, res2)) {
System.out.println(res1);
} else {
System.err.println(res1 + " " + res2);
}
} finally {
if (reader != null) {
reader.close();
}
}
}
}
class ProblemAnswerer<P extends IProblem> {
IProblemFactory<P> factory;
IProblemSolver<P> solver;
ProblemAnswerer(IProblemFactory<P> factory, IProblemSolver<P> solver) {
this.factory = factory;
this.solver = solver;
}
void answer() throws IOException {
ProblemReader reader = null;
try {
reader = new ProblemReader();
P problem = factory.newProblem(reader);
String res = solver.solve(problem);
System.out.println(res);
} finally {
if (reader != null) {
reader.close();
}
}
}
}
class ProblemProcessorConfig<P extends IProblem> {
IProblemFactory<P> factory;
IProblemSolver<P> solver, solver2;
IResultComparator comparator;
}
class ProblemProcessor<P extends IProblem> {
ProblemProcessorConfig<P> config;
ProblemCreator<P> creator;
ProblemSolverComparator<P> comparator;
ProblemAnswerer<P> answerer;
ProblemProcessor(ProblemProcessorConfig<P> config) {
this.config = config;
creator = new ProblemCreator<P>(config.factory);
comparator = new ProblemSolverComparator<P>(config.factory, config.solver, config.solver2, config.comparator);
answerer = new ProblemAnswerer<P>(config.factory, config.solver);
}
void process(String mode) throws IOException {
switch (mode) {
case "create":
creator.create();
break;
case "debug":
comparator.compare();
break;
case "solve":
answerer.answer();
break;
}
}
}
static class StringUtils {
static String toString(int a) {
return String.valueOf(a);
}
static String toString(long a) {
return String.valueOf(a);
}
static String toString(double a) {
return String.valueOf(a);
}
static String toString(String str) {
return str;
}
static String toString(int[] a, String delimiter) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
if (i < a.length - 1) {
sb.append(a[i] + delimiter);
} else {
sb.append(a[i]);
}
}
return sb.toString();
}
static String toString(long[] a, String delimiter) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
if (i < a.length - 1) {
sb.append(a[i] + delimiter);
} else {
sb.append(a[i]);
}
}
return sb.toString();
}
static String toString(double[] a, String delimiter) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
if (i < a.length - 1) {
sb.append(a[i] + delimiter);
} else {
sb.append(a[i]);
}
}
return sb.toString();
}
static String toString(String[] strs, String delimiter) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < strs.length; i++) {
if (i < strs.length - 1) {
sb.append(strs[i] + delimiter);
} else {
sb.append(strs[i]);
}
}
return sb.toString();
}
static String toString(int[][] a) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[i].length; j++) {
if (j < a[i].length - 1) {
sb.append(a[i][j] + " ");
} else {
sb.append(a[i][j]);
}
}
sb.append("\n");
}
sb.setLength(sb.length() - 1);
return sb.toString();
}
static String toString(long[][] a) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[i].length; j++) {
if (j < a[i].length - 1) {
sb.append(a[i][j] + " ");
} else {
sb.append(a[i][j]);
}
}
sb.append("\n");
}
sb.setLength(sb.length() - 1);
return sb.toString();
}
static String toString(double[][] a) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[i].length; j++) {
if (j < a[i].length - 1) {
sb.append(a[i][j] + " ");
} else {
sb.append(a[i][j]);
}
}
sb.append("\n");
}
sb.setLength(sb.length() - 1);
return sb.toString();
}
static String toString(String[][] a) {
StringBuilder sb = new StringBuilder();
for (int i = 0; i < a.length; i++) {
for (int j = 0; j < a[i].length; j++) {
if (j < a[i].length - 1) {
sb.append(a[i][j] + " ");
} else {
sb.append(a[i][j]);
}
}
sb.append("\n");
}
sb.setLength(sb.length() - 1);
return sb.toString();
}
static int toInt(String s) {
return Integer.parseInt(s);
}
static long toLong(String s) {
return Long.parseLong(s);
}
static double toDouble(String s) {
return Double.parseDouble(s);
}
static int[] toIntArray(String s) {
String[] tokens = s.split(" ");
int[] a = new int[tokens.length];
for (int i = 0; i < tokens.length; i++) {
a[i] = Integer.parseInt(tokens[i]);
}
return a;
}
static long[] toLongArray(String s) {
String[] tokens = s.split(" ");
long[] a = new long[tokens.length];
for (int i = 0; i < tokens.length; i++) {
a[i] = Long.parseLong(tokens[i]);
}
return a;
}
static double[] toDoubleArray(String s) {
String[] tokens = s.split(" ");
double[] a = new double[tokens.length];
for (int i = 0; i < tokens.length; i++) {
a[i] = Double.parseDouble(tokens[i]);
}
return a;
}
static String[] toStringArray(String s) {
return s.split(" ");
}
}
}