Encuentra las 72 soluciones al puzzle 26 en menos de 20 segundos. (https://www.youtube.com/watch?v=GsxzGqARjtw)

resolver26.js

function permutar(items, cb) {
  var length = items.length,
      c = new Array(length).fill(0),
      i = 1, k, p, t = 0;

  cb(items, ++t);
  while (i < length) {
    if (c[i] < i) {
      k = i % 2 && c[i];
      p = items[i];
      items[i] = items[k];
      items[k] = p;
      ++c[i];
      i = 1;
      cb(items, ++t);
    } else {
      c[i] = 0;
      ++i;
    }
  }
  
  console.log('Intentos analizdos #' + t);
}

function resolver26(permuta, intento) {
  if ( ( ( permuta[0] + permuta[3] + permuta[6] + permuta[10] ) === 26 ) &&
       ( ( permuta[0] + permuta[2] + permuta[5] + permuta[7] ) === 26 ) &&
       ( ( permuta[7] + permuta[8] + permuta[9] + permuta[10] ) === 26 ) &&
       ( ( permuta[1] + permuta[2] + permuta[3] + permuta[4] ) === 26 ) &&
       ( ( permuta[1] + permuta[5] + permuta[8] + permuta[11] ) === 26 ) &&
       ( ( permuta[4] + permuta[6] + permuta[9] + permuta[11] ) === 26 ) &&
       ( ( permuta[2] + permuta[3] + permuta[5] + permuta[6] + permuta[8] + permuta[9] ) === 26 ) ) {  
    console.log('Respuesta en el intento #' + intento + ': ', permuta);
	soluciones++;
  }
} 

permutar([1,2,3,4,5,6,7,8,9,10,11,12], resolver26);