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12b.awk
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12b.awk
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BEGIN {
FS="[, xyz=<>]*";
moons = 0;
}
{
x[moons] = $2;
y[moons] = $3;
z[moons] = $4;
sx[moons] = $2;
sy[moons] = $3;
sz[moons] = $4;
vx[moons] = 0;
vy[moons] = 0;
vz[moons] = 0;
moons++;
}
function gravitate(m1, m2) {
if (x[m1] > x[m2]) {
vx[m1]--;
vx[m2]++;
} else if (x[m1] < x[m2]) {
vx[m1]++;
vx[m2]--;
}
if (y[m1] > y[m2]) {
vy[m1]--;
vy[m2]++;
} else if (y[m1] < y[m2]) {
vy[m1]++;
vy[m2]--;
}
if (z[m1] > z[m2]) {
vz[m1]--;
vz[m2]++;
} else if (z[m1] < z[m2]) {
vz[m1]++;
vz[m2]--;
}
}
function gcd(a, b) {
while (b > 0) {
ob = b;
b = a % b;
a = ob;
}
return a;
}
function lcm(a, b) {
return a * b / gcd(a, b);
}
END {
s = 0;
for (periods = 0; periods < 3; s++) {
for (m1 = 0; m1 < moons; m1++) {
for (m2 = m1 + 1; m2 < moons; m2++) {
gravitate(m1, m2);
}
}
rx = 1; ry = 1; rz = 1;
for (m = 0; m < moons; m++) {
x[m] += vx[m];
y[m] += vy[m];
z[m] += vz[m];
if (vx[m] || x[m] != sx[m]) rx = 0;
if (vy[m] || y[m] != sy[m]) ry = 0;
if (vz[m] || z[m] != sz[m]) rz = 0;
}
if (rx && px == "") {
px = s + 1;
periods++;
}
if (ry && py == "") {
py = s + 1;
periods++;
}
if (rz && pz == "") {
pz = s + 1;
periods++;
}
}
print lcm(px, lcm(py, pz));
}