#include <stdint.h>

static const uint64_t divtab[244] = {
	[1] = 0xffffffff + 1l,
	[3] = 0x55555555 + 1l,
	[9] = 0x1c71c71c + 1l,
	[27] = 0x097b425e + 1l,
	[81] = 0x0329161f + 1l,
	[243] = 0x010db20a + 1l
};

#define FASTDIV(n, C) (((n) * (C)) >> 32)
#define FASTMOD(n, d, C) ((n) - (d) * FASTDIV((n), (C)))

int new(int i, int x, int y)
{
	uint64_t A, B, C;

	A = FASTDIV(i, divtab[y]);
	B = FASTMOD(A, 3, divtab[3]);
	C = FASTMOD(A + (uint64_t)x, 3, divtab[3]);

	return i + (C - B) * y;
}