day3.ptrs

import printf;
import sqrt, ceil, abs from "libm.so.6";

var input = sizeof(arguments) ? cast<int> arguments[0] : 0;
if(!input) {
    printf("Error: Invalid Input!");
    return 0;
}

//coords between abs(x1 - 1) + abs(x2 - 1)

var ring = cast<int> (ceil!double(sqrt!double(cast<float> input)) / 2);
var ringBorder = 2 * ring + 1;
var ringStart = (ringBorder - 2) * (ringBorder - 2) + 1;
var coords = map_stack { x: ring, y: -ring + 1 };
var diffToRingStart = input - ringStart;

if(diffToRingStart > ringBorder - 2) {
    diffToRingStart -= ringBorder - 2;
    coords.y += ringBorder - 2;
}
else {
    coords.y += diffToRingStart;
    diffToRingStart = 0;
}

if(diffToRingStart > ringBorder - 1) {
    diffToRingStart -= ringBorder - 1;
    coords.x -= ringBorder - 1;
}
else {
    coords.x -= diffToRingStart;
    diffToRingStart = 0;
}

if(diffToRingStart > ringBorder - 1) {
    diffToRingStart -= ringBorder - 1;
    coords.y -= ringBorder - 1;
}
else {
    coords.y -= diffToRingStart;
    diffToRingStart = 0;
}

if(diffToRingStart > ringBorder - 1) {
    diffToRingStart -= ringBorder - 1;
    coords.x += ringBorder - 1;
}
else {
    coords.x += diffToRingStart;
    diffToRingStart = 0;
}

var manhattanDistance = abs(coords.x) + abs(coords.y);

printf( "Ring: $ring\n"
        "Ring Border Length: $ringBorder\n"
        "Ring Start Number: $ringStart\n"
        "Coords:\n"
        "   x: ${coords.x}\n"
        "   y: ${coords.y}\n"
        "Distance to 1: $manhattanDistance");