#pragma GCC optimize ( "O3" ) #pragma GCC target ( "avx" ) #include using namespace std; using ll = long long; #define TYPE_OF( VAR ) remove_const::type >::type #define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr ) #define CEXPR( LL , BOUND , VALUE ) constexpr const LL BOUND = VALUE #define CIN( LL , A ) LL A; cin >> A #define ASSERT( A , MIN , MAX ) assert( MIN <= A && A <= MAX ) #define CIN_ASSERT( A , MIN , MAX ) CIN( TYPE_OF( MAX ) , A ); ASSERT( A , MIN , MAX ) #define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ ) #define QUIT return 0 #define RETURN( ANSWER ) cout << ( ANSWER ) << "\n"; QUIT #define POWER_MOD( ANSWER , ARGUMENT , EXPONENT , MODULO ) \ TYPE_OF( ARGUMENT ) ANSWER{ 1 }; \ { \ TYPE_OF( ARGUMENT ) ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT ) % MODULO; \ TYPE_OF( EXPONENT ) EXPONENT_FOR_SQUARE_FOR_POWER = ( EXPONENT ); \ while( EXPONENT_FOR_SQUARE_FOR_POWER != 0 ){ \ if( EXPONENT_FOR_SQUARE_FOR_POWER % 2 == 1 ){ \ ANSWER = ( ANSWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % MODULO; \ } \ ARGUMENT_FOR_SQUARE_FOR_POWER = ( ARGUMENT_FOR_SQUARE_FOR_POWER * ARGUMENT_FOR_SQUARE_FOR_POWER ) % MODULO; \ EXPONENT_FOR_SQUARE_FOR_POWER /= 2; \ } \ } \ int main() { UNTIE; CEXPR( int , bound_N , 200000 ); CIN_ASSERT( N , 2 , bound_N ); CEXPR( ll , bound_M , 1000000 ); CIN_ASSERT( M , 3 , bound_M ); ll A[bound_N]; ll M_minus_2 = M - 2; ll res = 0; FOR( i , 0 , N ){ CIN_ASSERT( Ai , 0 , M_minus_2 ); res = ( Ai + ( M - res ) ) % M; A[i] = Ai; } if( res != 0 ){ RETURN( -1 ); } ll answer = 0; ll M_minus_1 = M - 1; CEXPR( ll , P , 998244353 ); FOR( i , 0 , N ){ // やったーp進だー! answer = ( ( answer * M_minus_1 ) + A[i] ) % P; } POWER_MOD( M_inv , M , P - 2 , P ); ( ( answer *= M_inv ) += 1 ) %= P; RETURN( answer ); }