static long modpow ( long a , long p ) {
  if ( p == 0 ) {
    return 1 ;
  }
  if ( p % 2 == 0 ) {
    long halfp = p / 2 ;
    long half = modpow ( a , halfp ) ;
    return half * half % pow ;
  }
  else {
    return a * modpow ( a , p - 1 ) % pow ;
  }
}

static long modpow ( long a , long p ) { if ( p == 0 ) { return 1 ; } if ( p % 2 == 0 ) { long halfp = p / 2 ; long half = modpow ( a , halfp ) ; return half * half % pow ; } else { return a * modpow ( a , p - 1 ) % pow ; } }
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