#! /usr/bin/node

// by Frank Tan
// https://stackoverflow.com/questions/38400594/javascript-deep-comparison
function deepEqual(a,b)
{
    if( (typeof a == 'object' && a != null) &&
        (typeof b == 'object' && b != null) )
    {
        var count = [0,0];
        for( var key in a) count[0]++;
        for( var key in b) count[1]++;
        if( count[0]-count[1] != 0) {return false;}
        for( var key in a)
        {
            if(!(key in b) || !deepEqual(a[key],b[key])) {return false;}
        }
        for( var key in b)
        {
            if(!(key in a) || !deepEqual(b[key],a[key])) {return false;}
        }
        return true;
    }
    else
    {
        return a === b;
    }
}

function genprimes(mx) {
    let primesh=new Set([2,3])
    for (let i = 6; i <= mx; i += 6) {
        for (let j = i-1; j <= i+1; j += 2) {
            if (j <= mx) {
                primesh.add(j);
            }
        }
    }
    let q=[2,3,5,7];
    let p=q.shift();
    let mr=Math.floor(Math.sqrt(mx));
    while (p <= mr) {
        if (primesh.has(p)) {
            let i=p*p
            for (let i=p*p; i <= mx; i += p) {
                primesh.delete(i);
            }
        }
        if (q.length < 2) {
            q.push(q[q.length-1]+4);
            q.push(q[q.length-1]+2);
        }
        p=q.shift();
    }
    let primes=[...primesh];
    primes.sort(function(a,b) {
        return a-b;
    });
    return primes;
}

function brilliant (ct) {
    let base = 1;
    let out = new Set;
    while (true) {
        let pv = genprimes(base * 10).filter(i => i >= base);
        for (let ai = 0; ai < pv.length; ai++) {
            for (let bi = ai; bi < pv.length; bi++) {
                out.add(pv[ai] * pv[bi]);
            }
        }
        if (out.size >= ct) {
            break;
        }
        base *= 10;
    }
    let o = [...out];
    o.sort((a,b) => a-b);
    o.length = ct;
    return o;
}

if (deepEqual(brilliant(20),[4, 6, 9, 10, 14, 15, 21, 25, 35, 49, 121,
                             143, 169, 187, 209, 221, 247, 253, 289,
                             299])) {
    process.stdout.write("Pass");
} else {
    process.stdout.write("FAIL");
}
process.stdout.write("\n");