結果

問題 No.551 夏休みの思い出（２）
ユーザー btkbtk
提出日時 2017-04-05 14:17:55
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,597 ms / 4,000 ms
コード長 6,153 bytes
コンパイル時間 2,439 ms
コンパイル使用メモリ 85,804 KB
実行使用メモリ 93,324 KB
最終ジャッジ日時 2023-09-22 19:58:15
合計ジャッジ時間 28,225 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge14
このコードへのチャレンジ
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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 110 ms
53,536 KB
testcase_01 AC 113 ms
54,072 KB
testcase_02 AC 123 ms
51,612 KB
testcase_03 AC 138 ms
54,180 KB
testcase_04 AC 161 ms
54,332 KB
testcase_05 AC 192 ms
54,048 KB
testcase_06 AC 193 ms
54,004 KB
testcase_07 AC 118 ms
53,424 KB
testcase_08 AC 112 ms
54,028 KB
testcase_09 AC 117 ms
53,848 KB
testcase_10 AC 116 ms
53,824 KB
testcase_11 AC 114 ms
53,760 KB
testcase_12 AC 113 ms
53,860 KB
testcase_13 AC 112 ms
53,740 KB
testcase_14 AC 111 ms
53,684 KB
testcase_15 AC 115 ms
53,848 KB
testcase_16 AC 117 ms
53,892 KB
testcase_17 AC 280 ms
77,184 KB
testcase_18 AC 268 ms
77,084 KB
testcase_19 AC 332 ms
77,304 KB
testcase_20 AC 274 ms
77,056 KB
testcase_21 AC 275 ms
77,048 KB
testcase_22 AC 192 ms
58,736 KB
testcase_23 AC 275 ms
69,572 KB
testcase_24 AC 299 ms
69,736 KB
testcase_25 AC 179 ms
56,424 KB
testcase_26 AC 274 ms
77,372 KB
testcase_27 AC 706 ms
93,068 KB
testcase_28 AC 680 ms
93,324 KB
testcase_29 AC 519 ms
83,632 KB
testcase_30 AC 628 ms
92,916 KB
testcase_31 AC 509 ms
83,320 KB
testcase_32 AC 647 ms
93,044 KB
testcase_33 AC 1,496 ms
92,532 KB
testcase_34 AC 644 ms
86,864 KB
testcase_35 AC 528 ms
83,848 KB
testcase_36 AC 621 ms
84,188 KB
testcase_37 AC 1,597 ms
92,800 KB
testcase_38 AC 1,280 ms
92,876 KB
testcase_39 AC 1,001 ms
92,816 KB
testcase_40 AC 1,167 ms
92,800 KB
testcase_41 AC 795 ms
92,804 KB
testcase_42 AC 1,532 ms
93,088 KB
testcase_43 AC 747 ms
93,180 KB
testcase_44 AC 1,076 ms
92,904 KB
testcase_45 AC 1,283 ms
92,868 KB
testcase_46 AC 1,326 ms
92,656 KB
testcase_47 AC 108 ms
54,200 KB
testcase_48 AC 110 ms
53,652 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

import java.io.*;
import java.math.BigInteger;
import java.util.*;

/**
 * Created by btk on 2017/03/16.
 */
public class Main {

    static FastScanner in;
    static PrintWriter out;

    static final long H = 312345;
    static final long h = 3423;
    static HashMap<Integer,Integer> getGiantStep(long r,int p){
        HashMap<Integer,Integer> ret=new HashMap<Integer,Integer>();
        long g = 1;
        for (int i = 0; i < h; i++) {
            g=g*r%p;
        }
        long gg=1;
        for (int i = 0; i < H; i++) {
            Integer key=Integer.valueOf((int)gg);
            Integer val=Integer.valueOf((int)(h*i%(p-1)));
            ret.put(key,val);
            gg=gg*g%p;
        }
        return ret;
    }
    static int getBabyStep(long y,long r,int p,HashMap<Integer,Integer> giant){
        for (int i = 0; i < h; i++) {
            Integer key = Integer.valueOf((int)y);
            if(giant.containsKey(key)){
                long ah = giant.get(key).longValue();
                return (int)((ah-i+p-1)%(p-1));
            }
            y = y *r %p;
        }
        return -1;
    }
    static int getG(int p){
        for (int r = 2; r < p ; r++) {
            int[] memo = new int[p];
            for (int i = 0; i < p; i++) {
                memo[i] = 0;
            }
            boolean ans = true;
            long k = 1;
            for (int i = 0; i < p - 1; i++) {
                if (memo[(int)k] == 1) ans = false;
                memo[(int)k] = 1;
                k = k * r % p;
            }
            if (ans) return r;
        }
        return -1;
    }
    static long powmod(long a,long n,long p){
        long ret=1;
        a%=p;
        while(n>0){
            if((n&1)==1)
                ret=ret*a%p;
            a=a*a%p;
            n>>=1;
        }
        return ret;
    }
    static long getX(long g,int p,long XX,HashMap<Integer,Integer> giant){
        if(XX==0)return 0;
        int x=getBabyStep(XX,g,p,giant);
        if(x%2==0)x/=2;
        else return -1;
        return powmod(g,x,p);
    }
    // a x + b y = gcd(a, b)
    // O(log (a+b) )
    static long extgcd(long a, long b, long[] x, long[] y) {
        long g = a; x[0] = 1; y[0] = 0;
        if (b != 0) {
            g = extgcd(b, a % b, y, x);
            y[0] -= (a / b) * x[0];
        }
        return g;
    }

    // mを法とするaの逆元
    // O(log a)
    static long invMod(long a,int MOD) {
        long[] x=new long[1], y=new long[1];
        if (extgcd(a, MOD, x, y) == 1)return (x[0] + MOD) % MOD;
        else return 0; // unsolvable
    }

    static void solve() {
        int P = in.nextInt();
        long R = in.nextLong();
        int Q = in.nextInt();
        HashMap<Integer,Integer> giant=getGiantStep(R,P);
        for (int q = 0; q < Q; q++) {
            long a=in.nextInt();
            long b=in.nextInt();
            long c=in.nextInt();
            long sqrt=getX(R,P,(b*b%P+P-4*a*c%P)%P,giant);
            if(sqrt==-1)out.println(-1);
            else{
                long x = ((P+P-b-sqrt)%P)*invMod(2*a%P,P)%P;
                long y = ((P+P-b+sqrt)%P)*invMod(2*a%P,P)%P;
                if(x==y)out.println(x);
                if(x>y)out.println(y+" "+x);
                if(x<y)out.println(x+" "+y);
            }
        }
    }
    public static void main(String[] args){
        in = new FastScanner();
        out = new PrintWriter(System.out);
        solve();
        out.flush();
        out.close();
    }
}

class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (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 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 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;
            }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());}
}
class Pair implements Comparable<Pair> {
    BigInteger a;
    int b;

    public Pair(BigInteger a, int b) {
        this.a = a;
        this.b = b;
    }

    //(a,b)が一致
    @Override
    public boolean equals(Object o) {
        if (o instanceof Pair) {
            Pair p = (Pair) o;
            return a == p.a && b == p.b;
        }
        return super.equals(o);
    }

    //辞書順比較
    @Override
    public int compareTo(Pair o) {
        if (!a.equals(o.a)) {
            return a.compareTo(o.a);
        }
        return Integer.compare(b,o.b);
    }
}
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