Introduction to Set Operations

Set Theory

Descrizione

Operazioni insiemistiche di base: unione (A∪B, elementi in almeno uno dei due insiemi), intersezione (A∩B, elementi in entrambi), differenza (A−B, elementi in A ma non in B, non commutativa) e complemento rispetto a un universo U (A^c = U − A).

Given

Un intero positivo n (n ≤ 20.000) e due sottoinsiemi A e B di {1, 2, ..., n}.

Return

Sei insiemi: A∪B, A∩B, A−B, B−A, A^c e B^c (i complementi sono presi rispetto a {1, 2, ..., n}).

Sample Dataset

10
{1, 2, 3, 4, 5}
{2, 8, 5, 10}

Sample Output

{1, 2, 3, 4, 5, 8, 10}
{2, 5}
{1, 3, 4}
{8, 10}
{6, 7, 8, 9, 10}
{1, 3, 4, 6, 7, 9}

Nota

L'ordine degli elementi dentro le parentesi graffe non è rilevante per la correttezza (un insieme non è ordinato); nello script gli elementi sono stampati in ordine numerico crescente per chiarezza, anche se il sample output della pagina Rosalind li mostra in un ordine diverso (non essendo gli insiemi strutture ordinate).

La mia esecuzione

08/24/2026 11:24:47

Input · dataset.txt

18217
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11415, 13333, 5745, 760

… troncato (197.662 caratteri totali)

Output · run_log.txt

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 209, 210, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 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#http://rosalind.info/problems/seto/

def lettura(filename):
    with open(filename) as f:
        n = int(f.readline())
        a = {int(x) for x in f.readline().strip("{}\n").split(",")}
        b = {int(x) for x in f.readline().strip("{}\n").split(",")}
    return n, a, b

def formatta(insieme):
    return "{" + ", ".join(str(x) for x in sorted(insieme)) + "}"

def main():
    n, a, b = lettura("dataset.txt")
    universo = set(range(1, n + 1))
    print(formatta(a | b))
    print(formatta(a & b))
    print(formatta(a - b))
    print(formatta(b - a))
    print(formatta(universo - a))
    print(formatta(universo - b))

if __name__ == "__main__":
    # execute only if run as a script
    main()

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// Introduction to Set Operations (Rosalind ID: SETO) - soluzione
// JavaScript indipendente, non una trascrizione di problem.py: stessa
// logica (unione, intersezione, differenze e complementi rispetto
// all'universo {1..n} di due insiemi A e B), riscritta in modo
// idiomatico per JS.
//
// Contratto: riceve il contenuto testuale di dataset.txt, restituisce
// l'output testuale (stessa forma dell'output Python).
function formatta(insieme) {
  const ordinato = [...insieme].sort((a, b) => a - b);
  return "{" + ordinato.join(", ") + "}";
}

function parseInsieme(riga) {
  const pulita = riga.trim().replace(/^\{/, "").replace(/\}$/, "");
  return new Set(pulita.split(",").map((x) => Number(x.trim())));
}

export default function solve(datasetText) {
  const righe = datasetText.split("\n");
  const n = Number(righe[0]?.trim());

  if (!Number.isInteger(n) || n < 0 || righe.length < 3) {
    throw new Error("Input non valido: attese tre righe (n, insieme A, insieme B)");
  }

  const a = parseInsieme(righe[1]);
  const b = parseInsieme(righe[2]);
  const universo = new Set(Array.from({ length: n }, (_, i) => i + 1));

  const unione = new Set([...a, ...b]);
  const intersezione = new Set([...a].filter((x) => b.has(x)));
  const aMenoB = new Set([...a].filter((x) => !b.has(x)));
  const bMenoA = new Set([...b].filter((x) => !a.has(x)));
  const complA = new Set([...universo].filter((x) => !a.has(x)));
  const complB = new Set([...universo].filter((x) => !b.has(x)));

  return (
    [unione, intersezione, aMenoB, bMenoA, complA, complB]
      .map(formatta)
      .join("\n") + "\n"
  );
}