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#define PROBLEM "https://judge.yosupo.jp/problem/runenumerate"
#include "../misc/macros.h"
#include "../ds/RMQ.h"
#include "../strings/SuffixArray.h"
struct Run {
int t, l, r;
// So sánh để sort candidates: ưu tiên l, r, rồi đến t nhỏ nhất
bool operator<(const Run& other) const {
if (l != other.l) return l < other.l;
if (r != other.r) return r < other.r;
return t < other.t;
}
// So sánh để sort output cuối cùng (theo yêu cầu đề bài: thường là t, l, r)
static bool compareOutput(const Run& a, const Run& b) {
if (a.t != b.t) return a.t < b.t;
if (a.l != b.l) return a.l < b.l;
return a.r < b.r;
}
};
template <class R>
int get_lcp(const SuffixArray& sa, R& rmq, int i, int j) {
if (i == j) return sz(sa.sa) - 1 - i;
int l = sa.rank[i], r = sa.rank[j];
if (l > r) swap(l, r);
return rmq.query(l + 1, r + 1);
}
int main() {
cin.tie(0)->sync_with_stdio(0);
string s;
cin >> s;
int n = sz(s);
auto min_func = [](int a, int b) { return min(a, b); };
SuffixArray sa(s);
RMQ rmq(sa.lcp, min_func);
string s_rev = s;
reverse(all(s_rev));
SuffixArray sa_rev(s_rev);
RMQ rmq_rev(sa_rev.lcp, min_func);
vector<Run> candidates;
for (int t = 1; t <= n / 2; ++t) {
for (int i = 0; i + t < n; i += t) {
int j = i + t;
int l1 = get_lcp(sa, rmq, i, j);
int l2 = 0;
if (i > 0) l2 = get_lcp(sa_rev, rmq_rev, n - i, n - j);
if (l1 + l2 >= t && l2 < t) {
// Lưu lại ứng viên (t, l, r)
candidates.push_back({t, i - l2, i - l2 + t + l1 + l2});
}
}
}
// BƯỚC 1: Sort candidates theo (l, r, t)
sort(all(candidates));
// BƯỚC 2: Lọc trùng (giữ t nhỏ nhất cho cùng l, r)
vector<Run> result;
for (auto& run : candidates) {
if (!result.empty()) {
Run& last = result.back();
if (last.l == run.l && last.r == run.r) continue; // Đã có run cùng l,r với t nhỏ hơn -> Bỏ qua
}
result.push_back(run);
}
// BƯỚC 3: Sort kết quả theo (t, l, r) để in ra
sort(all(result), Run::compareOutput);
cout << sz(result) << "\n";
for (auto& run : result) {
cout << run.t << " " << run.l << " " << run.r << "\n";
}
}#line 1 "tests/Run_Enumerate.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/runenumerate"
#line 1 "misc/macros.h"
// #pragma GCC optimize("Ofast,unroll-loops") // unroll long, simple loops
// #pragma GCC target("avx2,fma") // vectorizing code
// #pragma GCC target("lzcnt,popcnt,abm,bmi,bmi2") // for fast bitset operation
#include <bits/extc++.h>
#include <tr2/dynamic_bitset>
using namespace std;
using namespace __gnu_pbds; // ordered_set, gp_hash_table
// using namespace __gnu_cxx; // rope
// for templates to work
#define all(x) (x).begin(), (x).end()
#define sz(x) (int) (x).size()
#define pb push_back
#define eb emplace_back
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;
using ld = long double;
using pii = pair<i32, i32>;
using vi = vector<i32>;
// fast map
const int RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count();
struct chash { // customize hash function for gp_hash_table
int operator()(int x) const { return x ^ RANDOM; }
};
gp_hash_table<int, int, chash> table;
/* ordered set
find_by_order(k): returns an iterator to the k-th element (0-based)
order_of_key(k): returns the number of elements in the set that are strictly less than k
*/
template <class T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
/* rope
rope <int> cur = v.substr(l, r - l + 1);
v.erase(l, r - l + 1);
v.insert(v.mutable_begin(), cur);
*/
#line 1 "ds/RMQ.h"
template <class T, class F>
struct RMQ {
vector<vector<T>> jmp;
const F f;
RMQ(const vector<T>& V, F f) : jmp(1, V), f(f) {
for (int pw = 1, k = 1; pw * 2 <= sz(V); pw *= 2, ++k) {
jmp.eb(sz(V) - pw * 2 + 1);
for (int j = 0; j < sz(jmp[k]); ++j) jmp[k][j] = f(jmp[k - 1][j], jmp[k - 1][j + pw]);
}
}
// [a, b)
T query(int a, int b) {
assert(a < b);
int dep = 31 - __builtin_clz(b - a);
return f(jmp[dep][a], jmp[dep][b - (1 << dep)]);
}
};
#line 1 "strings/SuffixArray.h"
struct SuffixArray {
vector<int> sa, lcp, rank;
SuffixArray(string s, int lim = 256) {
int n = s.size() + 1, k = 0, a, b;
s.push_back(0);
vector<int> y(n), cnt(max(n, lim));
sa.resize(n), lcp.resize(n), rank.resize(n);
for (int i = 0; i < n; ++i) rank[i] = s[i];
iota(sa.begin(), sa.end(), 0);
for (int j = 0, p = 0; p < n; j = max(1, j * 2), lim = p) {
p = j;
iota(all(y), n - j);
for (int i = 0; i < n; ++i)
if (sa[i] >= j) y[p++] = sa[i] - j;
fill(all(cnt), 0);
for (int i = 0; i < n; ++i) cnt[rank[i]]++;
for (int i = 1; i < lim; ++i) cnt[i] += cnt[i - 1];
for (int i = n; i--;) sa[--cnt[rank[y[i]]]] = y[i];
swap(rank, y), p = 1, rank[sa[0]] = 0;
for (int i = 1; i < n; ++i) {
a = sa[i - 1], b = sa[i];
int val_a = (a + j < n) ? y[a + j] : -1;
int val_b = (b + j < n) ? y[b + j] : -1;
rank[b] = (y[a] == y[b] && val_a == val_b) ? p - 1 : p++;
}
}
for (int i = 0; i < n; ++i) rank[sa[i]] = i;
for (int i = 0, j; i < n - 1; lcp[rank[i++]] = k)
for (k && k--, j = sa[rank[i] - 1]; s[i + k] == s[j + k]; k++);
}
};
#line 6 "tests/Run_Enumerate.test.cpp"
struct Run {
int t, l, r;
// So sánh để sort candidates: ưu tiên l, r, rồi đến t nhỏ nhất
bool operator<(const Run& other) const {
if (l != other.l) return l < other.l;
if (r != other.r) return r < other.r;
return t < other.t;
}
// So sánh để sort output cuối cùng (theo yêu cầu đề bài: thường là t, l, r)
static bool compareOutput(const Run& a, const Run& b) {
if (a.t != b.t) return a.t < b.t;
if (a.l != b.l) return a.l < b.l;
return a.r < b.r;
}
};
template <class R>
int get_lcp(const SuffixArray& sa, R& rmq, int i, int j) {
if (i == j) return sz(sa.sa) - 1 - i;
int l = sa.rank[i], r = sa.rank[j];
if (l > r) swap(l, r);
return rmq.query(l + 1, r + 1);
}
int main() {
cin.tie(0)->sync_with_stdio(0);
string s;
cin >> s;
int n = sz(s);
auto min_func = [](int a, int b) { return min(a, b); };
SuffixArray sa(s);
RMQ rmq(sa.lcp, min_func);
string s_rev = s;
reverse(all(s_rev));
SuffixArray sa_rev(s_rev);
RMQ rmq_rev(sa_rev.lcp, min_func);
vector<Run> candidates;
for (int t = 1; t <= n / 2; ++t) {
for (int i = 0; i + t < n; i += t) {
int j = i + t;
int l1 = get_lcp(sa, rmq, i, j);
int l2 = 0;
if (i > 0) l2 = get_lcp(sa_rev, rmq_rev, n - i, n - j);
if (l1 + l2 >= t && l2 < t) {
// Lưu lại ứng viên (t, l, r)
candidates.push_back({t, i - l2, i - l2 + t + l1 + l2});
}
}
}
// BƯỚC 1: Sort candidates theo (l, r, t)
sort(all(candidates));
// BƯỚC 2: Lọc trùng (giữ t nhỏ nhất cho cùng l, r)
vector<Run> result;
for (auto& run : candidates) {
if (!result.empty()) {
Run& last = result.back();
if (last.l == run.l && last.r == run.r) continue; // Đã có run cùng l,r với t nhỏ hơn -> Bỏ qua
}
result.push_back(run);
}
// BƯỚC 3: Sort kết quả theo (t, l, r) để in ra
sort(all(result), Run::compareOutput);
cout << sz(result) << "\n";
for (auto& run : result) {
cout << run.t << " " << run.l << " " << run.r << "\n";
}
}