結果

問題 No.891 隣接3項間の漸化式
ユーザー OlandOland
提出日時 2019-09-20 22:26:48
言語 Java21
(openjdk 21)
結果
AC  
実行時間 44 ms / 2,000 ms
コード長 7,992 bytes
コンパイル時間 2,411 ms
コンパイル使用メモリ 75,152 KB
実行使用メモリ 49,884 KB
最終ジャッジ日時 2023-10-12 19:56:12
合計ジャッジ時間 5,702 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge11
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 43 ms
49,524 KB
testcase_01 AC 43 ms
49,812 KB
testcase_02 AC 43 ms
49,460 KB
testcase_03 AC 43 ms
49,428 KB
testcase_04 AC 44 ms
49,340 KB
testcase_05 AC 44 ms
49,528 KB
testcase_06 AC 43 ms
49,520 KB
testcase_07 AC 44 ms
49,556 KB
testcase_08 AC 44 ms
49,884 KB
testcase_09 AC 44 ms
49,640 KB
testcase_10 AC 43 ms
49,528 KB
testcase_11 AC 43 ms
49,528 KB
testcase_12 AC 44 ms
49,424 KB
testcase_13 AC 43 ms
49,416 KB
testcase_14 AC 43 ms
49,336 KB
testcase_15 AC 43 ms
49,440 KB
testcase_16 AC 44 ms
49,492 KB
testcase_17 AC 44 ms
49,648 KB
testcase_18 AC 43 ms
49,536 KB
testcase_19 AC 43 ms
49,612 KB
testcase_20 AC 43 ms
49,552 KB
testcase_21 AC 43 ms
49,556 KB
testcase_22 AC 43 ms
49,420 KB
testcase_23 AC 43 ms
49,524 KB
testcase_24 AC 43 ms
49,392 KB
testcase_25 AC 43 ms
49,628 KB
testcase_26 AC 42 ms
49,760 KB
testcase_27 AC 43 ms
49,420 KB
testcase_28 AC 42 ms
49,324 KB
testcase_29 AC 43 ms
47,332 KB
testcase_30 AC 42 ms
49,524 KB
testcase_31 AC 43 ms
49,540 KB
testcase_32 AC 43 ms
49,352 KB
testcase_33 AC 43 ms
49,528 KB
testcase_34 AC 43 ms
49,632 KB
testcase_35 AC 43 ms
49,520 KB
testcase_36 AC 44 ms
49,416 KB
testcase_37 AC 43 ms
49,504 KB
testcase_38 AC 43 ms
49,600 KB
testcase_39 AC 43 ms
49,460 KB
testcase_40 AC 43 ms
49,764 KB
testcase_41 AC 43 ms
49,524 KB
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ソースコード

diff # 

import java.io.*;
import java.util.*;

@SuppressWarnings("unused")
public class Main {
    private FastScanner in = new FastScanner(System.in);
    private PrintWriter out = new PrintWriter(System.out);
    final int MOD = (int)1e9+7;
    long ceil(long a, long b){return (a + b - 1) / b;}

    void solve() throws Exception{
        int a = in.nextInt(), b = in.nextInt(), n = in.nextInt();
        long[] a01 = {1, 0};
        long[][] p = {{a, b}, {1, 0}};
        long[] ans = multiplyMatrix(powMatrix(p, n), a01);
        out.println(ans[1]);
    }
    //end solve

    public long[][] powMatrix(long[][] a, long n){

        if(n == 0){
            int size = a.length;
            long[][] e = new long[size][size];
            for(int i = 0; i < size; i++){
                for(int j = 0; j < size; j++){
                    if(i == j)
                        e[i][j] = 1;
                    else
                        e[i][j] = 0;
                }
            }
            return e;
        }

        if(n % 2 == 0){
            return powMatrix(multiplyMatrix(a, a), n / 2);
        }else{
            return multiplyMatrix(a, powMatrix(multiplyMatrix(a, a), (n - 1) / 2));
        }
    }

    public long[] multiplyMatrix(long[][] a, long[] x){
        int size = a.length;
        long[] y = new long[size];
        for(int i = 0; i < size; i++){
            for(int j = 0; j < size; j++){
                y[i] = ((y[i] + (a[i][j] * x[j]) % MOD) % MOD);
            }
        }
        return y;
    }

    public long[][] multiplyMatrix(long[][] a, long[][] b){
        int size = a.length;
        long[][] c = new long[size][size];
        for(int i = 0; i < size; i++){
            for(int j = 0; j < size; j++){
                for(int k = 0; k < size; k++){
                    c[i][j] = ((c[i][j] + (a[i][k] * b[k][j]) % MOD) % MOD);
                }
            }
        }
        return c;
    }

    public void printMatrix(long[] a){
        int size = a.length;
        for(int j = 0; j < size; j++){
            System.out.println(a[j]);
        }
    }

    public void printMatrix(long[][] a){
        int size = a.length;
        for(int i = 0; i < size; i++){
            for(int j = 0; j < size; j++){
                System.out.print(a[i][j]);
                if(j == size-1)
                    System.out.println();
                else
                    System.out.print(" ");
            }
        }
    }

    public static void main(String[] args) throws Exception {
        new Main().m();
    }

    private void m() throws Exception {
        solve();
        out.flush();
    }

    static class FastScanner {
        Reader input;

        FastScanner() {this(System.in);}
        FastScanner(InputStream stream) {this.input = new BufferedReader(new InputStreamReader(stream));}

        int nextInt() {return (int) nextLong();}

        long nextLong() {
            try {
                int sign = 1;
                int b = input.read();
                while ((b < '0' || '9' < b) && b != '-' && b != '+') {
                    b = input.read();
                }
                if (b == '-') {
                    sign = -1;
                    b = input.read();
                } else if (b == '+') {
                    b = input.read();
                }
                long ret = b - '0';
                while (true) {
                    b = input.read();
                    if (b < '0' || '9' < b) return ret * sign;
                    ret *= 10;
                    ret += b - '0';
                }
            } catch (IOException e) {
                e.printStackTrace();
                return -1;
            }
        }

        double nextDouble() {
            try {
                double sign = 1;
                int b = input.read();
                while ((b < '0' || '9' < b) && b != '-' && b != '+') {
                    b = input.read();
                }
                if (b == '-') {
                    sign = -1;
                    b = input.read();
                } else if (b == '+') {
                    b = input.read();
                }
                double ret = b - '0';
                while (true) {
                    b = input.read();
                    if (b < '0' || '9' < b) break;
                    ret *= 10;
                    ret += b - '0';
                }
                if (b != '.') return sign * ret;
                double div = 1;
                b = input.read();
                while ('0' <= b && b <= '9') {
                    ret *= 10;
                    ret += b - '0';
                    div *= 10;
                    b = input.read();
                }
                return sign * ret / div;
            } catch (IOException e) {
                e.printStackTrace();
                return Double.NaN;
            }
        }

        char nextChar() {
            try {
                int b = input.read();
                while (Character.isWhitespace(b)) {
                    b = input.read();
                }
                return (char) b;
            } catch (IOException e) {
                e.printStackTrace();
                return 0;
            }
        }

        String nextStr() {
            try {
                StringBuilder sb = new StringBuilder();
                int b = input.read();
                while (Character.isWhitespace(b)) {
                    b = input.read();
                }
                while (b != -1 && !Character.isWhitespace(b)) {
                    sb.append((char) b);
                    b = input.read();
                }
                return sb.toString();
            } catch (IOException e) {
                e.printStackTrace();
                return "";
            }
        }

        public int[] nextIntArray(int n) {
            int[] res = new int[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextInt();
            }
            return res;
        }

        public int[] nextIntArrayDec(int n) {
            int[] res = new int[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextInt() - 1;
            }
            return res;
        }

        public int[] nextIntArray1Index(int n) {
            int[] res = new int[n + 1];
            for (int i = 0; i < n; i++) {
                res[i + 1] = nextInt();
            }
            return res;
        }

        public long[] nextLongArray(int n) {
            long[] res = new long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong();
            }
            return res;
        }

        public long[] nextLongArrayDec(int n) {
            long[] res = new long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong() - 1;
            }
            return res;
        }

        public long[] nextLongArray1Index(int n) {
            long[] res = new long[n + 1];
            for (int i = 0; i < n; i++) {
                res[i + 1] = nextLong();
            }
            return res;
        }

        public double[] nextDoubleArray(int n) {
            double[] res = new double[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextDouble();
            }
            return res;
        }

        public Long[] nextWrapperLongArray(int n) {
            Long[] res = new Long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong();
            }
            return res;
        }

        public Long[] nextWrapperLongArrayDec(int n) {
            Long[] res = new Long[n];
            for (int i = 0; i < n; i++) {
                res[i] = nextLong() - 1;
            }
            return res;
        }

        public Long[] nextWrapperLongArray1Index(int n) {
            Long[] res = new Long[n + 1];
            for (int i = 0; i < n; i++) {
                res[i + 1] = nextLong();
            }
            return res;
        }
    }
}
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