Submission #9638

#TimeUsernameProblemLanguageResultExecution timeMemory
9638dolpang2Phibonacci (kriii2_P)C++14
1 / 4
0 ms1088 KiB
#include <cstdio>
const int MODULO = 1000000007;

struct Matrix {
  long long M[2][2];
};

Matrix matrix;
Matrix multiplyOfMatrix(Matrix x, Matrix y) {
  Matrix ret;

  for (int i = 0; i < 2; ++i) {
    for (int j = 0; j < 2; ++j) {
      int sum = 0;

      for (int k = 0; k < 2; ++k) {
        sum += ((x.M[i][k] % MODULO) * (y.M[k][j] % MODULO)) % MODULO;
      }

      sum = sum % MODULO;
      ret.M[i][j] = sum;
    }
  }

  return ret;
}

Matrix powerOfMatrix(Matrix matrix, long long valueOfPower) {
  if (valueOfPower == 1) {
    return matrix;
  } else if (valueOfPower % 2 == 0) {
    return powerOfMatrix(multiplyOfMatrix(matrix, matrix), valueOfPower * 0.5);
  } else {
    return multiplyOfMatrix(matrix, powerOfMatrix(multiplyOfMatrix(matrix, matrix), (valueOfPower - 1) * 0.5));
  }
}

int main() {
  long long n = 0;
  int k = 0;

  scanf("%lld%d", &n, &k);
  Matrix matrix;
  matrix.M[0][0] = 1;
  matrix.M[0][1] = 1;
  matrix.M[1][0] = 1;
  matrix.M[1][1] = 0;

  Matrix result = powerOfMatrix(matrix, n);
  printf("%lld %lld\n", result.M[0][1], result.M[1][1]);
//  printf("%lld %lld\n", result.M[1][0], result.M[1][1]);

}
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