結果

問題 No.2361 Many String Compare Queries
ユーザー 👑 hos.lyric
提出日時 2023-06-23 22:21:00
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 164 ms / 2,500 ms
コード長 9,210 bytes
コンパイル時間 2,314 ms
コンパイル使用メモリ 142,032 KB
実行使用メモリ 35,252 KB
最終ジャッジ日時 2024-07-01 02:04:23
合計ジャッジ時間 4,732 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 14
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#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 <limits>
#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, bsr;
  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)]);
        }
      }
      bsr.resize(n + 1);
      bsr[0] = -1;
      for (int i = 1; i <= n; ++i) bsr[i] = bsr[i >> 1] + 1;
    }
  }
  // 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 = bsr[j - i];
    return min(hs[e * n + i + 1], hs[e * n + j + 1 - (1 << e)]);
  }
};
////////////////////////////////////////////////////////////////////////////////
// root: min (tie-break: left)
struct MinCartesianTree {
  int n, rt;
  vector<int> par, lef, rig;
  template <class T> void build(int n_, T *as) {
    assert(n_ >= 1);
    n = n_;
    rt = 0;
    par.assign(n, -1);
    lef.assign(n, -1);
    rig.assign(n, -1);
    int top = 0;
    vector<int> stack(n, 0);
    for (int u = 1; u < n; ++u) {
      if (as[stack[top]] > as[u]) {  // >
        for (; top >= 1 && as[stack[top - 1]] > as[u]; --top) {}  // >
        if (top == 0) {
          rt = par[lef[u] = stack[top]] = u;
        } else {
          par[lef[u] = stack[top]] = u;
          rig[par[u] = stack[top - 1]] = u;
        }
        stack[top] = u;
      } else {
        rig[par[u] = stack[top]] = u;
        stack[++top] = u;
      }
    }
  }
  template <class T> void build(const T &as) {
    build(as.size(), as.data());
  }
};
int N, Q;
char S[200'010];
vector<int> L, R;
vector<Int> ans;
SuffixArray sa;
MinCartesianTree ct;
vector<vector<pair<int, int>>> qss(N);
Int now;
void dfs(int u, int l, int r, int d) {
  const int dd = (~u) ? sa.hs[u] : (N - sa.us[l]);
// cerr<<"dfs "<<u<<" ["<<l<<", "<<r<<") "<<d<<" -> "<<dd<<endl;
  for (; !qss[l].empty() && qss[l].back().first <= dd; ) {
    const int len = qss[l].back().first;
    const int q = qss[l].back().second;
    qss[l].pop_back();
// cerr<<"  len="<<len<<", q="<<q<<endl;
    assert(d < len); assert(len <= dd);
    ans[q] = 0;
    ans[q] += now;
    ans[q] += (r - l) * (len - d - 1);
  }
  now += (r - l) * (dd - d);
  
  if (~u) {
    dfs(ct.lef[u], l, u, dd);
    dfs(ct.rig[u], u, r, dd);
  }
}
int main() {
  for (; ~scanf("%d%d", &N, &Q); ) {
    scanf("%s", S);
    L.resize(Q);
    R.resize(Q);
    for (int q = 0; q < Q; ++q) {
      scanf("%d%d", &L[q], &R[q]);
      --L[q];
    }
    
    ans.assign(Q, -1);
    
    sa.rmq = true;
    sa.build(string(S));
    ct.build(vector<int>(sa.hs.begin(), sa.hs.begin() + N));
// cerr<<"sa.hs = "<<sa.hs<<endl;
// for(int i=0;i<N;++i)cerr<<S+sa.us[i]<<endl;
    
    qss.assign(N, {});
    for (int q = 0; q < Q; ++q) {
      const int len = R[q] - L[q];
      int lo = -1, hi = sa.su[L[q]];
      for (; lo + 1 < hi; ) {
        const int mid = (lo + hi) / 2;
        ((sa.lcp(sa.us[mid], L[q]) >= len) ? hi : lo) = mid;
      }
      qss[hi].emplace_back(len, q);
    }
    for (int i = 0; i < N; ++i) {
      sort(qss[i].begin(), qss[i].end(), greater<pair<int, int>>{});
    }
// cerr<<"qss = "<<qss<<endl;
    
    now = 0;
    dfs(ct.rig[ct.rt], 0, N, 0);
// cerr<<"now = "<<now<<endl;
    
    for (int q = 0; q < Q; ++q) {
      printf("%lld\n", ans[q]);
    }
  }
  return 0;
}
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