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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#48021#243. Lyndon Substringhos_lyricAC ✓460ms59848kbC++1411.0kb2022-09-11 08:30:292022-09-11 08:30:31

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-09-11 08:30:31]
  • 评测
  • 测评结果:AC
  • 用时:460ms
  • 内存:59848kb
  • [2022-09-11 08:30:29]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


////////////////////////////////////////////////////////////////////////////////
// SA-IS
//   String: string, vector<int>, vector<long long>
//   if sigma <= n,  O(n) time, O(n) space
//   if sigma >  n,  O(n log n) time, O(n) space
template <class String> vector<int> suffixArrayRec(const String &as) {
  const int n = as.size();
  if (n == 0) return {};
  const auto minmaxA = minmax_element(as.begin(), as.end());
  const auto minA = *minmaxA.first, maxA = *minmaxA.second;
  if (static_cast<unsigned long long>(maxA) - minA >=
      static_cast<unsigned long long>(n)) {
    vector<int> us(n);
    for (int u = 0; u < n; ++u) us[u] = u;
    std::sort(us.begin(), us.end(), [&](int u, int v) -> bool {
      return (as[u] < as[v]);
    });
    int b = 0;
    vector<int> bs(n, 0);
    for (int i = 1; i < n; ++i) {
      if (as[us[i - 1]] != as[us[i]]) ++b;
      bs[us[i]] = b;
    }
    return suffixArrayRec(bs);
  }
  const int sigma = maxA - minA + 1;
  vector<int> pt(sigma + 1, 0), poss(sigma);
  for (int u = 0; u < n; ++u) ++pt[as[u] - minA + 1];
  for (int a = 0; a < sigma; ++a) pt[a + 1] += pt[a];
  // cmp[u] := (as[u, n) < as[u + 1, n))
  vector<bool> cmp(n);
  cmp[n - 1] = false;
  for (int u = n - 1; --u >= 0; ) {
    cmp[u] = (as[u] != as[u + 1]) ? (as[u] < as[u + 1]) : cmp[u + 1];
  }
  // ><,  nn - id (0 <= id < n)
  int nn = 0;
  vector<int> ids(n, 0);
  int last = n;
  vector<int> nxt(n, 0);
  // put ><, from the tail of each bucket
  vector<int> us(n, 0);
  memcpy(poss.data(), pt.data() + 1, sigma * sizeof(int));
  for (int u = n - 1; --u >= 1; ) if (!cmp[u - 1] && cmp[u]) {
    ids[u] = ++nn;
    nxt[u] = last;
    last = u;
    us[--poss[as[u] - minA]] = u;
  }
  // follow > backwards, from the head of each bucket
  memcpy(poss.data(), pt.data(), sigma * sizeof(int));
  us[poss[as[n - 1] - minA]++] = n - 1;
  for (int i = 0; i < n; ++i) {
    const int u = us[i];
    if (u && !cmp[u - 1]) us[poss[as[u - 1] - minA]++] = u - 1;
  }
  // follow < backwards, from the tail of each bucket
  memcpy(poss.data(), pt.data() + 1, sigma * sizeof(int));
  for (int i = n; --i >= 0; ) {
    const int u = us[i];
    if (u && cmp[u - 1]) us[--poss[as[u - 1] - minA]] = u - 1;
  }
  if (nn) {
    int vsLen = 0;
    vector<int> vs(nn);
    for (const int u : us) if (ids[u]) vs[vsLen++] = u;
    int b = 0;
    vector<int> bs(nn, 0);
    for (int j = 1; j < nn; ++j) {
      // as[v1, w1] (< or =) as[v0, w0]
      int v1 = vs[j - 1], v0 = vs[j];
      const int w1 = nxt[v1], w0 = nxt[v0];
      if (w1 - v1 != w0 - v0) {
        ++b;
      } else {
        for (; ; ++v1, ++v0) {
          if (v1 == n) { ++b; break; }
          if (as[v1] != as[v0]) { ++b; break; }
          if (v1 == w1) break;
        }
      }
      bs[nn - ids[vs[j]]] = b;
    }
    for (int u = 0; u < n; ++u) if (ids[u]) vs[nn - ids[u]] = u;
    const auto sub = suffixArrayRec(bs);
    // put ><, from the tail of each bucket
    memset(us.data(), 0, n * sizeof(int));
    memcpy(poss.data(), pt.data() + 1, sigma * sizeof(int));
    for (int j = nn; --j >= 0; ) {
      const int u = vs[sub[j]];
      us[--poss[as[u] - minA]] = u;
    }
    // follow > backwards, from the head of each bucket
    memcpy(poss.data(), pt.data(), sigma * sizeof(int));
    us[poss[as[n - 1] - minA]++] = n - 1;
    for (int i = 0; i < n; ++i) {
      const int u = us[i];
      if (u && !cmp[u - 1]) us[poss[as[u - 1] - minA]++] = u - 1;
    }
    // follow < backwards, from the tail of each bucket
    memcpy(poss.data(), pt.data() + 1, sigma * sizeof(int));
    for (int i = n; --i >= 0; ) {
      const int u = us[i];
      if (u && cmp[u - 1]) us[--poss[as[u - 1] - minA]] = u - 1;
    }
  }
  return us;
}

// us[i]: i-th suffix
// su[u]: index of as[u, n)
// hs[i]: longest common prefix of as[us[i - 1], n) and as[us[i], n)
struct SuffixArray {
  int n;
  bool rmq;
  vector<int> us, su, hs;
  SuffixArray() : n(0), rmq(false) {}
  SuffixArray(const string &as, bool rmq_) : rmq(rmq_) { build(as); }
  SuffixArray(const vector<int> &as, bool rmq_) : rmq(rmq_) { build(as); }
  SuffixArray(const vector<long long> &as, bool rmq_) : rmq(rmq_) { build(as); }
  template <class String> void build(const String &as) {
    n = as.size();
    us = suffixArrayRec(as);
    su.resize(n + 1);
    for (int i = 0; i < n; ++i) su[us[i]] = i;
    su[n] = -1;
    hs.assign(n, 0);
    for (int h = 0, u = 0; u < n; ++u) if (su[u]) {
      for (int v = us[su[u] - 1]; v + h < n && as[v + h] == as[u + h]; ++h) {}
      hs[su[u]] = h;
      if (h) --h;
    }
    if (rmq) {
      const int logN = n ? (31 - __builtin_clz(n)) : 0;
      hs.resize((logN + 1) * n - (1 << logN) + 1);
      for (int e = 0; e < logN; ++e) {
        int *hes = hs.data() + e * n;
        for (int i = 0; i <= n - (1 << (e + 1)); ++i) {
          hes[n + i] = min(hes[i], hes[i + (1 << e)]);
        }
      }
    }
  }
  // Returns longest common prefix of as[u, n) and as[v, n).
  //   0 <= u, v <= n
  //   Assumes rmq.
  inline int lcp(int u, int v) const {
    if (u == v) return n - u;
    int i = su[u], j = su[v];
    if (i > j) swap(i, j);
    const int e = 31 - __builtin_clz(j - i);
    return min(hs[e * n + i + 1], hs[e * n + j + 1 - (1 << e)]);
  }
};
////////////////////////////////////////////////////////////////////////////////

template <class String>
vector<pair<int, int>> lyndonSuffix(const String &as) {
  const int n = as.size();
  vector<pair<int, int>> pqs(n + 1);
  pqs[0] = make_pair(0, 0);
  for (int u = 0; u < n; ) {
    for (int p = 1, q = 1, r = 0, v = u + 1; ; ++v) {
      // as[u, v) = as[u, u + p)^q as[u, u + r)
      // as[u, u + p): Lyndon
      pqs[v] = (r != 0) ? pqs[u + r] : make_pair(p, q);
      if (v == n || as[v - p] > as[v]) {
        u = v - r;
        break;
      } else if (as[v - p] < as[v]) {
        p = v + 1 - u; q = 1; r = 0;
      } else {
        if (++r == p) { ++q; r = 0; }
      }
    }
  }
  return pqs;
}


char buf[100'010];

int N, Q;
vector<string> S;

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    scanf("%d%d", &N, &Q);
    S.resize(N);
    for (int i = 0; i < N; ++i) {
      scanf("%s", buf);
      S[i] = buf;
    }
    
    vector<int> L(N);
    string cat;
    vector<int> head(N);
    for (int i = 0; i < N; ++i) {
      L[i] = S[i].size();
      head[i] = cat.size();
      cat += S[i];
      cat += '!';
    }
    const SuffixArray sa(cat, true);
    
    vector<int> inside(N, 0);
    vector<vector<int>> cuts(N);
    vector<vector<int>> uss(N);
    for (int i = 0; i < N; ++i) {
      const auto pqs = lyndonSuffix(S[i]);
      for (int v = L[i]; ; ) {
        cuts[i].push_back(v);
        if (v == 0) break;
        const int p = pqs[v].first;
        chmax(inside[i], p);
        v -= p;
      }
      reverse(cuts[i].begin(), cuts[i].end());
      for (int v = L[i]; ; ) {
        uss[i].push_back(v);
        if (v == 0) break;
        const int p = pqs[v].first;
        const int q = pqs[v].second;
        const int u = v - q * p;
        if (!(p >= L[i] - v && sa.lcp(head[i] + u, head[i] + v) >= L[i] - v)) break;
        v = u;
      }
      reverse(uss[i].begin(), uss[i].end());
    }
// cerr<<"inside = "<<inside<<endl;
// cerr<<"cuts = "<<cuts<<endl;
// cerr<<"uss = "<<uss<<endl;
    
    
    for (; Q--; ) {
      int i, j;
      scanf("%d%d", &i, &j);
      --i;
      --j;
      
      int ans = max(inside[i], inside[j]);
      
      // min_u S[i][u, L[i]) S[j]
      int um = -1;
      for (const int u : uss[i]) {
        // S[i][um, L[i]) S[j] vs S[i][u, L[i])  (um < u)
        if (!~um || [&]() -> bool {
          // S[i][um, *) vs S[i][u, L[i])
          {
            const int res = sa.lcp(head[i] + um, head[i] + u);
            if (res < L[i] - u) return (S[i][um + res] > S[i][u + res]);
          }
          // S[i][*, L[i]) vs S[j][0, *)
          {
            const int res = sa.lcp(head[i] + um + (L[i] - u), head[j]);
            if (res < min(u - um, L[j])) return (S[i][um + (L[i] - u) + res] > S[j][res]);
          }
          if (u - um > L[j]) return true;
          // S[j] vs S[j][*, L[j])
          {
            const int res = sa.lcp(head[j], head[j] + (u - um));
            if (res < L[j] - (u - um)) return (S[j][res] > S[j][u - um + res]);
          }
          return true;
        }()) {
          um = u;
        }
      }
// cerr<<i<<" "<<j<<": um = "<<um<<endl;
      int lo = -1, hi = (int)cuts[j].size() - 1;
      for (; lo + 1 < hi; ) {
        const int mid = (lo + hi) / 2;
        const int pos = cuts[j][mid];
        // S[i][um, L[i]) S[j] vs S[j][pos, L[j])
        if ([&]() -> bool {
          // S[i][um, L[i]) vs S[j][pos, *)
          {
            const int res = sa.lcp(head[i] + um, head[j] + pos);
            if (res < min(L[i] - um, L[j] - pos)) return (S[i][um + res] > S[j][pos + res]);
          }
          if (L[i] - um > L[j] - pos) return true;
          // S[j] vs S[j][*, L[j])
          {
            const int res = sa.lcp(head[j], head[j] + pos + (L[i] - um));
            if (res < L[j] - pos - (L[i] - um)) return (S[j][res] > S[j][pos + (L[i] - um) + res]);
          }
          return true;
        }()) {
// cerr<<"  "<<(S[i].substr(um)+"|"+S[j])<<" > "<<S[j].substr(pos)<<endl;
          hi = mid;
        } else {
// cerr<<"  "<<(S[i].substr(um)+"|"+S[j])<<" < "<<S[j].substr(pos)<<endl;
          lo = mid;
        }
      }
      chmax(ans, (L[i] - um) + cuts[j][hi]);
      
      printf("%d\n", ans);
#ifdef LOCAL
const auto pqs=lyndonSuffix(S[i]+S[j]);
cerr<<i<<" "<<j<<": "<<pqs<<endl;
int brt=0;
for(int v=L[i]+L[j];v>0;){const int p=pqs[v].first;chmax(brt,p);v-=p;}
cerr<<"brt = "<<brt<<endl;
assert(brt==ans);
#endif
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 460ms
memory: 59848kb

input:

24
100 10000
ab
babbab
baabbbb
abbababbb
bb
bbbaaaba
b
aababaa
aaabbb
abbabbaaa
aaaab
bbab
bbabb
baaa
bbabbaaba
abaa
b
aabbbb
babbbbbb
bbaaba
aba
bbb
abbbaabaa
aa
bbaabaabbb
abbbbbb
aabbbaabba
ababba
aabbaab
ababa
aabbabbaab
b
aabaabaab
baaababa
babaaa
abaaaabbbb
aaaaabaa
bbb
bbab
baaa
bbabba
ababbb...

output:

2
3
6
11
4
5
3
5
6
8
5
4
4
3
4
2
3
6
10
4
2
5
6
2
8
9
5
7
4
2
7
3
3
6
3
8
6
5
4
3
4
8
3
4
7
2
2
3
9
7
2
2
7
11
3
5
5
8
3
6
6
3
5
4
4
8
4
2
5
8
3
5
5
4
5
3
2
5
3
10
4
5
5
9
4
4
7
3
5
3
5
9
4
4
3
7
8
6
5
3
3
3
6
11
7
8
3
5
6
8
5
7
7
3
7
3
3
6
13
7
3
8
6
3
8
9
5
7
4
3
7
3
3
6
3
8
6
8
7
3
7
8
3
4
10
3
3...

result:

ok 600000 lines