Day 24: Crossed Wires

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Oh my Kernigan, that was stressful. Really worried about not finishing there.

Considered several approaches, the coolest of which would have been to test individual bits, propagate ‘suspicion’, etc, but it seemed too tricky.

Eventually I needed to go do something other than worry about not finishing so I started writing a validator for the adder structure. Just a couple of rules later I had found 4 faults already and managed to write automated fixups for them!

This means my solver is quite specific to my input but it can potentially be made more complete and I didn’t ‘cheat’ by hardcoding manual graph analysis.

Code
#include "common.h"

/*
 * The approach behind part 2 was to essentially write a bunch of
 * validation rules for the structure of the adder, and then writing
 * fixups for problems it would find. That means it's likely quite
 * tailored to my input, but at least it's not hardcoding manual graph
 * analysis.
 */

enum { W_NULL, W_OFF, W_ON };

struct wire;

struct wire {
	struct wire *in[2];
	char name[4];
	char op; 		/* [A]ND, [O]R, [X]OR */
	int8_t val;		/* W_NULL, W_OFF, W_ON */
};

static struct wire wires[320];
static struct wire *zs[46], *swapped[8];
static int nw, nsw;

static struct wire *
get_wire(const char *name)
{
	int i;

	for (i=0; i<nw; i++)
		if (!strcmp(name, wires[i].name))
			return &wires[i];

	assert(nw < (int)LEN(wires));
	assert(strlen(name) < LEN(wires[i].name));

	snprintf(wires[nw].name, sizeof(wires[nw].name), "%s", name);
	return &wires[nw++];
}


static int
cmp_wires(const void *a, const void *b)
{
	struct wire * const *wa = a;
	struct wire * const *wb = b;

	return strcmp((*wa)->name, (*wb)->name);
}

static int
eval(struct wire *wire)
{
	int in1,in2;

	if (wire->val)
		return wire->val == W_ON;

	assert(wire->in[0]);
	assert(wire->in[1]);

	in1 = eval(wire->in[0]);
	in2 = eval(wire->in[1]);

	wire->val = W_OFF + (
	    wire->op=='A' ? in1 && in2 :
	    wire->op=='O' ? in1 || in2 :
	    wire->op=='X' ? in1 != in2 : (assert(!"bad op"), -1));

	return wire->val == W_ON;
}

static void
swap(struct wire *a, struct wire *b)
{
	struct wire tmp;

	//printf("swapping %s and %s\n", a->name, b->name);

	tmp = *a;

	a->op = b->op;
	a->in[0] = b->in[0];
	a->in[1] = b->in[1];

	b->op = tmp.op;
	b->in[0] = tmp.in[0];
	b->in[1] = tmp.in[1];

	assert(nsw+2 <= (int)LEN(swapped));
	swapped[nsw++] = a;
	swapped[nsw++] = b;
}

static struct wire *
find_z_xor(int bit)
{
	struct wire *xy_xor;
	int i;

	for (i=0; i<nw; i++) {
		 /* must be a XOR */
		if (wires[i].op != 'X')
			continue;

		 /* with an input XOR */
		xy_xor = wires[i].in[0]->op == 'X' ? wires[i].in[0] :
		         wires[i].in[1]->op == 'X' ? wires[i].in[1] :
		         NULL;
		if (!xy_xor)
			continue;

		 /* connected to the X and Y */
		if (xy_xor->in[0]->name[0] != 'x' &&
		    xy_xor->in[0]->name[0] != 'y')
			continue;

		 /* with the same bit number */
		if (atoi(xy_xor->in[0]->name+1) != bit)
			continue;

		return &wires[i];
	}

	return NULL;
}

static struct wire *
find_xy_and(int bit)
{
	int i;

	for (i=0; i<nw; i++) {
		 /* must be AND */
		if (wires[i].op != 'A')
			continue;

		 /* must have XY inputs */
		if ((wires[i].in[0]->name[0] != 'x'  ||
		     wires[i].in[1]->name[0] != 'y') &&
		    (wires[i].in[0]->name[0] != 'y'  ||
		     wires[i].in[1]->name[0] != 'x'))
			continue;
		
		 /* with the right bit number */
		if (atoi(wires[i].in[0]->name+1) != bit ||
		    atoi(wires[i].in[0]->name+1) != bit)
			continue;
		
		return &wires[i];
	}

	return NULL;
}

static void
fsck_carry_or(struct wire *or, int bit)
{
	struct wire *wire;
	int i;

	 /* both inputs must be AND; no fixup if neither */
	assert(
	    or->in[0]->op == 'A' ||
	    or->in[1]->op == 'A');

	for (i=0; i<2; i++) {
		if (or->in[i]->op == 'A')
			continue;

		//printf("carry OR parent %s not AND\n", or->in[i]->name);

		 /* only have fixup for the XY AND */
		assert(
		    or->in[!i]->in[0]->name[0] != 'x' &&
		    or->in[!i]->in[0]->name[0] != 'y');

		wire = find_xy_and(bit);
		assert(wire);
		swap(or->in[i], wire);
	}
}

static void
fsck_z(struct wire *z)
{
	struct wire *wire, *carry_or;
	int bit;

	assert(z->name[0] == 'z');

	bit = atoi(z->name+1);

	 /* first bit is very different */
	if (!bit)
		return;

	 /* for the final bit, Z is the carry OR */
	if (!zs[bit+1]) {
		 /* no fixup if it isn't */
		assert(z->op == 'O');

		fsck_carry_or(z, bit-1);
		return;
	}

	 /* must be a XOR */
	if (z->op != 'X') {
		//printf("Z %s isn't XOR\n", z->name);
		wire = find_z_xor(bit);
		assert(wire);
		swap(z, wire);
	}

	 /* bit 2 and up must have a carry OR */
	if (bit > 1) {
		carry_or =
		    z->in[0]->op == 'O' ? z->in[0] :
		    z->in[1]->op == 'O' ? z->in[1] : NULL;
		assert(carry_or);
		fsck_carry_or(carry_or, bit-1);
	}
}

int
main(int argc, char **argv)
{
	struct wire *wire;
	char buf[64], *rest, *lf, *name1,*name2, *opstr;
	uint64_t p1=0;
	int bit, i;

	if (argc > 1)
		DISCARD(freopen(argv[1], "r", stdin));

	while ((rest = fgets(buf, sizeof(buf), stdin))) {
		if (!strchr(buf, ':'))
			break;

		wire = get_wire(strsep(&rest, ":"));
		wire->val = W_OFF + atoi(rest);

	}

	while ((rest = fgets(buf, sizeof(buf), stdin))) {
		if ((lf = strchr(buf, '\n')))
			*lf = '\0';

		name1 = strsep(&rest, " ");
		opstr = strsep(&rest, " ");
		name2 = strsep(&rest, " ");
		strsep(&rest, " ");

		wire = get_wire(rest);
		wire->in[0] = get_wire(name1);
		wire->in[1] = get_wire(name2);
		wire->op = opstr[0];
	}

	for (i=0; i<nw; i++)
		if (wires[i].name[0] == 'z') {
			bit = atoi(&wires[i].name[1]);
			assert(bit >= 0);
			assert(bit < (int)LEN(zs));
			zs[bit] = &wires[i];
		}

	for (i=0; i < (int)LEN(zs); i++)
		if (zs[i])
			p1 |= (uint64_t)eval(zs[i]) << i;

	for (i=0; i < (int)LEN(zs); i++)
		if (zs[i])
			fsck_z(zs[i]);

	qsort(swapped, nsw, sizeof(*swapped), cmp_wires);

	printf("24: %"PRIu64, p1);

	for (i=0; i<nsw; i++)
		printf(i ? ",%s" : " %s", swapped[i]->name);

	putchar('\n');
	return 0;
}

https://codeberg.org/sjmulder/aoc/src/branch/master/2024/c/day24.c

Btw, spending some time on getting Graphviz output right did make studying the structure much easier!

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I fiddled for ages to get nice graphviz output, that looks a lot nicer

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