結果

問題 No.117 組み合わせの数
ユーザー t8m8⛄️t8m8⛄️
提出日時 2015-03-14 08:23:15
言語 Java21
(openjdk 21)
結果
AC  
実行時間 465 ms / 5,000 ms
コード長 5,274 bytes
コンパイル時間 3,615 ms
コンパイル使用メモリ 78,908 KB
実行使用メモリ 83,376 KB
最終ジャッジ日時 2024-06-28 22:53:29
合計ジャッジ時間 4,926 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 465 ms
83,376 KB
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ソースコード

diff # 

//No.117 組み合わせの数

import java.util.*;
import java.io.*;
import static java.util.Arrays.*;
import static java.lang.Math.*;

public class No117 {

    static final InputStream in = System.in;
    static final PrintWriter out = new PrintWriter(System.out,false);

    static void solve(){
        final int MOD = 1000000007;
        init(2000000,MOD);
        //trace(factInv);
        int t = nextInt();
        while (t-- > 0) {
            String s = next();
            int n = Integer.parseInt(s.substring(2,s.indexOf(',')));
            int k = Integer.parseInt(s.substring(s.indexOf(',')+1,s.indexOf(')')));
            switch(s.charAt(0)) {
                case 'C': out.println(combination(n,k,MOD)); break;
                case 'P': out.println(permutation(n,k,MOD)); break;
                case 'H': out.println(homogeneous(n,k,MOD)); break;
            }
        }
    }

    static long[] extgcd(long a, long b) {
        if (a == 0 || b == 0) return null;
        int asig = Long.signum(a);
        int bsig = Long.signum(b);
        a = abs(a); b = abs(b);
        long x = 1, y = 0;
        long p = 0, q = 1;
        while (b > 0) {
            long c = a/b, d = a;
            a = b; b = d % b;
            d = x; x = p; p = d - c*p;
            d = y; y = q; q = d - c*q;
        }
        return new long[]{a,x*asig,y*bsig};
    }

    static long modInverse(long a, long m) {
        long[] gcd = extgcd(a,m);
        if (gcd[0] != 1) return 0;
        return (m+gcd[1]%m)%m;
    }

    static long[] fact;
    static long[] factInv;
    static void init(int n,int p) {
        fact = new long[n+1]; factInv = new long[n+1];
        fact[0] = fact[1] = 1;
        for (int i=2; i<=n; i++) fact[i] = fact[i-1]*i%p;
        factInv[n] = modInverse(fact[n],p);
        for (int i=n; i>0; i--) factInv[i-1] = factInv[i]*i%p;
    }
    
    static int combination(int n, int r, int p) {
        if (n < r || r < 0) return 0;
        return (int)(fact[n]*factInv[r]%p*factInv[n-r]%p);
    }

    static int permutation(int n, int r, int p) {
        if (n < r || r < 0) return 0;
        return (int)(fact[n]*factInv[n-r]%p);
    }

    static int homogeneous(int n, int r, int p) {
        if (n == 0 && r == 0) return 1;
        return combination(n+r-1,r,p);
    }

    public static void main(String[] args) throws Exception {
        long start = System.currentTimeMillis();

        solve();
        out.flush();

        long end = System.currentTimeMillis();
        //trace(end-start + "ms");
        in.close();
    }

    static void trace(Object... o) { System.out.println(deepToString(o));}

    static final byte[] buf = new byte[1024];
    static int ptr = 0;
    static int buflen = 0;

    static boolean hasNextByte() {
        if (ptr < buflen)
            return true;
        ptr = 0;
        try{
            buflen = in.read(buf);
        }catch (IOException e) {e.printStackTrace();}
        if (buflen <= 0)
            return false;
        return true;
    }

    static int readByte() { if (hasNextByte()) return buf[ptr++]; else return -1;}

    static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}

    static void skip() { while(hasNextByte() && !isPrintableChar(buf[ptr])) ptr++;}

    static boolean hasNext() {skip(); return hasNextByte();}

    static 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();
    }

    static long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        boolean minus = false;
        long num = readByte();

        if(num == '-'){
            num = 0;
            minus = true;
        }else if (num < '0' || '9' < num){
            throw new NumberFormatException();
        }else{
            num -= '0';
        }
        
        while(true){
            int b = readByte();
            if('0' <= b && b <= '9')
                num = num * 10 + (b - '0');
            else if(b == -1 || !isPrintableChar(b))
                return minus ? -num : num;
            else
                throw new NoSuchElementException();
        }
    }

    static int nextInt() {
        long num = nextLong();
        if (num < Integer.MIN_VALUE || Integer.MAX_VALUE < num)
            throw new NumberFormatException();
        return (int)num;
    }

    static double nextDouble() {
        return Double.parseDouble(next());
    }

    static char nextChar() {
        if (!hasNext()) throw new NoSuchElementException();
        return (char)readByte();
    }

    static String nextLine() {
        while (hasNextByte() && (buf[ptr] == '\n' || buf[ptr] == '\r')) ptr++;
        if (!hasNextByte()) throw new NoSuchElementException();

        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (b != '\n' && b != '\r') {
            sb.appendCodePoint(b);
            b = readByte();
        }

        return sb.toString();
    }

    static int[] nextArrayInt(int n) {
        int[] a = new int[n];
        for (int i=0; i<n; i++) a[i] = nextInt();
        return a;
    }
}
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