Aufgabe · Strings schwer JavaScript ·

Count distinct substrings

/**
 * @param {string} s
 * @returns {number}
 */
function count_distinct_substrings(s)

count_distinct_substrings("abab")  // -> 7
count_distinct_substrings("aaa")  // -> 3
count_distinct_substrings("")  // -> 0

• Platz 1MiniMax M3.1 Flashgelöst · 14 von 14 TestsAntwort in 5.8 s · Laufzeit 388 ms · $0.0009

  ✓	count_distinct_substrings("abab")erwartet 7	2 ms
  ✓	count_distinct_substrings("aaa")erwartet 3	<1 ms
  ✓	count_distinct_substrings("")erwartet 0	1 ms

  ✓ 1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ 2 ms✓ 28 ms✓ 1 ms✓ <1 ms⏱ 292 ms⏱ 22 ms⏱ 35 ms
  Code

  function count_distinct_substrings(s) {
    const n = s.length;
    if (n === 0) return 0;
  
    const maxStates = 2 * n + 1;
    const tr = new Int32Array(maxStates * 26);
    const len = new Int32Array(maxStates);
    const link = new Int32Array(maxStates);
  
    link[0] = -1;
    let size = 1;
    let last = 0;
  
    for (let i = 0; i < n; i++) {
      const c = s.charCodeAt(i) - 97;
      const cur = size++;
      len[cur] = len[last] + 1;
  
      let p = last;
      while (p !== -1) {
        const idx = p * 26 + c;
        if (tr[idx] !== 0) break;
        tr[idx] = cur;
        p = link[p];
      }
  
      if (p === -1) {
        link[cur] = 0;
      } else {
        const q = tr[p * 26 + c];
        if (len[p] + 1 === len[q]) {
          link[cur] = q;
        } else {
          const clone = size++;
          len[clone] = len[p] + 1;
          link[clone] = link[q];
          const cb = clone * 26, qb = q * 26;
          for (let k = 0; k < 26; k++) tr[cb + k] = tr[qb + k];
          while (p !== -1) {
            const idx = p * 26 + c;
            if (tr[idx] !== q) break;
            tr[idx] = clone;
            p = link[p];
          }
          link[q] = clone;
          link[cur] = clone;
        }
      }
      last = cur;
    }
  
    let total = 0;
    for (let v = 1; v < size; v++) total += len[v] - len[link[v]];
    return total;
  }

• Platz 2Google Gemini 3.8 Flashgelöst · 14 von 14 TestsAntwort in 6.4 s · Laufzeit 487 ms · $0.0026

  ✓	count_distinct_substrings("abab")erwartet 7	6 ms
  ✓	count_distinct_substrings("aaa")erwartet 3	1 ms
  ✓	count_distinct_substrings("")erwartet 0	1 ms

  ✓ <1 ms✓ 1 ms✓ 1 ms✓ 17 ms✓ 2 ms✓ 1 ms✓ 1 ms✓ <1 ms⏱ 330 ms⏱ 99 ms⏱ 25 ms
  Code

  /**
   * @param {string} s
   * @returns {number}
   */
  function count_distinct_substrings(s) {
      const n = s.length;
      if (n === 0) return 0;
      if (n === 1) return 1;
  
      // Suffix Automaton (SAM) approach
      // Max states: 2 * n
      const maxStates = 2 * n;
      const link = new Int32Array(maxStates);
      const len = new Int32Array(maxStates);
      // 26 transitions per state
      const nextState = new Int32Array(maxStates * 26);
      nextState.fill(-1);
  
      link[0] = -1;
      len[0] = 0;
      let sz = 1;
      let last = 0;
  
      for (let i = 0; i < n; i++) {
          const c = s.charCodeAt(i) - 97;
          const cur = sz++;
          len[cur] = len[last] + 1;
  
          let p = last;
          while (p !== -1 && nextState[p * 26 + c] === -1) {
              nextState[p * 26 + c] = cur;
              p = link[p];
          }
  
          if (p === -1) {
              link[cur] = 0;
          } else {
              const q = nextState[p * 26 + c];
              if (len[p] + 1 === len[q]) {
                  link[cur] = q;
              } else {
                  const clone = sz++;
                  len[clone] = len[p] + 1;
                  link[clone] = link[q];
                  // copy transitions
                  const qOffset = q * 26;
                  const cloneOffset = clone * 26;
                  for (let k = 0; k < 26; k++) {
                      nextState[cloneOffset + k] = nextState[qOffset + k];
                  }
  
                  while (p !== -1 && nextState[p * 26 + c] === q) {
                      nextState[p * 26 + c] = clone;
                      p = link[p];
                  }
                  link[q] = clone;
                  link[cur] = clone;
              }
          }
          last = cur;
      }
  
      let ans = 0;
      for (let i = 1; i < sz; i++) {
          ans += len[i] - len[link[i]];
      }
  
      return ans;
  }

• Platz 3Qwen3.8 Max (0902)gelöst · 14 von 14 TestsAntwort in 33 s · Laufzeit 952 ms · $0.01

  ✓	count_distinct_substrings("abab")erwartet 7	2 ms
  ✓	count_distinct_substrings("aaa")erwartet 3	1 ms
  ✓	count_distinct_substrings("")erwartet 0	1 ms

  ✓ <1 ms✓ 1 ms✓ 27 ms✓ 1 ms✓ <1 ms✓ 1 ms✓ 1 ms✓ <1 ms⏱ 435 ms⏱ 361 ms⏱ 117 ms
  Code

  function count_distinct_substrings(s) {
      const n = s.length;
      if (n === 0) return 0;
      
      // Build suffix array using prefix doubling
      let sa = new Array(n);
      let rank = new Array(n);
      let tmp = new Array(n);
      
      for (let i = 0; i < n; i++) {
          sa[i] = i;
          rank[i] = s.charCodeAt(i);
      }
      
      for (let k = 1; k < n; k <<= 1) {
          const r = rank; // capture current rank
          const cmp = (a, b) => {
              if (r[a] !== r[b]) return r[a] - r[b];
              const ra = a + k < n ? r[a + k] : -1;
              const rb = b + k < n ? r[b + k] : -1;
              return ra - rb;
          };
          sa.sort(cmp);
          
          tmp[sa[0]] = 0;
          for (let i = 1; i < n; i++) {
              tmp[sa[i]] = tmp[sa[i-1]] + (cmp(sa[i-1], sa[i]) < 0 ? 1 : 0);
          }
          [rank, tmp] = [tmp, rank];
          
          if (rank[sa[n-1]] === n - 1) break;
      }
      
      // Kasai's algorithm for LCP array
      // rank[i] = position of suffix i in suffix array
      let lcpSum = 0;
      let h = 0;
      
      for (let i = 0; i < n; i++) {
          if (rank[i] > 0) {
              let j = sa[rank[i] - 1];
              while (i + h < n && j + h < n && s.charCodeAt(i + h) === s.charCodeAt(j + h)) h++;
              lcpSum += h;
              if (h > 0) h--;
          } else {
              h = 0;
          }
      }
      
      return n * (n + 1) / 2 - lcpSum;
  }

• Platz 4SpaceXAI Grok Build 0.1nicht gelöst · 11 von 14 TestsAntwort in 37 s · Laufzeit 1.9 s · $0.02

  ✓	count_distinct_substrings("abab")erwartet 7	2 ms
  ✓	count_distinct_substrings("aaa")erwartet 3	1 ms
  ✓	count_distinct_substrings("")erwartet 0	22 ms

  ✓ 2 ms✓ 1 ms✓ 3 ms✓ 1 ms✓ <1 ms✓ 2 ms✓ 2 ms✓ 1 ms⏱ Zeitlimit überschritten⏱ Zeitlimit überschritten⏱ Zeitlimit überschritten
  Code

  function count_distinct_substrings(s) {
    const n = s.length;
    if (n === 0) return 0;
    const MAX = 2 * n + 10;
    const len = new Array(MAX);
    const link = new Array(MAX);
    const trans = new Array(MAX);
    for (let i = 0; i < MAX; i++) {
      trans[i] = new Array(26).fill(-1);
    }
    let tot = 1;
    len[0] = 0;
    link[0] = -1;
    let last = 0;
    for (let i = 0; i < n; i++) {
      const c = s.charCodeAt(i) - 97;
      let cur = tot++;
      len[cur] = len[last] + 1;
      let p = last;
      while (p !== -1 && trans[p][c] === -1) {
        trans[p][c] = cur;
        p = link[p];
      }
      if (p === -1) {
        link[cur] = 0;
      } else {
        let q = trans[p][c];
        if (len[q] === len[p] + 1) {
          link[cur] = q;
        } else {
          let clone = tot++;
          len[clone] = len[p] + 1;
          link[clone] = link[q];
          for (let j = 0; j < 26; j++) {
            trans[clone][j] = trans[q][j];
          }
          while (p !== -1 && trans[p][c] === q) {
            trans[p][c] = clone;
            p = link[p];
          }
          link[q] = clone;
          link[cur] = clone;
        }
      }
      last = cur;
    }
    let count = 0;
    for (let i = 1; i < tot; i++) {
      count += len[i] - len[link[i]];
    }
    return count;
  }

  Zweiter Versuch

  gelöst · 14 von 14 TestsAntwort in 27 s · $0.01

  Das Modell sah, wie viele Tests fehlschlugen, die fehlerhaften Beispiele samt erwarteten und gelieferten Werten sowie den Grund für das Scheitern versteckter Tests, nicht aber deren Eingaben. Zählt nicht für Platzierungen oder das Rating.

  ✓	count_distinct_substrings("abab")erwartet 7	2 ms
  ✓	count_distinct_substrings("aaa")erwartet 3	<1 ms
  ✓	count_distinct_substrings("")erwartet 0	<1 ms

  ✓ 1 ms✓ 2 ms✓ 1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ 1 ms⏱ 250 ms⏱ 46 ms⏱ 117 ms

  Code

  function count_distinct_substrings(s) {
    const n = s.length;
    if (n === 0) return 0;
    const MAX = 2 * n + 5;
    const len = new Int32Array(MAX);
    const link = new Int32Array(MAX);
    const trans = new Int32Array(MAX * 26);
    trans.fill(-1);
    let tot = 1;
    len[0] = 0;
    link[0] = -1;
    let last = 0;
    for (let i = 0; i < n; i++) {
      const c = s.charCodeAt(i) - 97;
      let cur = tot++;
      len[cur] = len[last] + 1;
      let p = last;
      while (p !== -1 && trans[p * 26 + c] === -1) {
        trans[p * 26 + c] = cur;
        p = link[p];
      }
      if (p === -1) {
        link[cur] = 0;
      } else {
        let q = trans[p * 26 + c];
        if (len[q] === len[p] + 1) {
          link[cur] = q;
        } else {
          let clone = tot++;
          len[clone] = len[p] + 1;
          link[clone] = link[q];
          const qbase = q * 26;
          const clonebase = clone * 26;
          for (let j = 0; j < 26; j++) {
            trans[clonebase + j] = trans[qbase + j];
          }
          while (p !== -1 && trans[p * 26 + c] === q) {
            trans[p * 26 + c] = clone;
            p = link[p];
          }
          link[q] = clone;
          link[cur] = clone;
        }
      }
      last = cur;
    }
    let count = 0;
    for (let i = 1; i < tot; i++) {
      count += len[i] - len[link[i]];
    }
    return count;
  }

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