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544 lines (449 loc) · 11.3 KB
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//
// Created by Evgeny Savinov on 09/01/2017.
//
#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#define clr(x) memset((x), 0, sizeof(x))
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mp make_pair
#define x first
#define y second
#define forn(i, n) for(int i = 0; i < (int)(n); ++i)
#define ford(i, n) for(int i = (int)(n) - 1; i >= 0; --i)
#define for1(i, n) for(int i = 1; i <= (int)(n); ++i)
using namespace std;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
//typedef pair<long long, long long> pii;
typedef vector<long long> vll;
typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef int itn;
typedef unsigned int uint;
const ld PI = 3.1415926535897932384626433832795L;
template<class T>
bool uin(T &, const T &);
template<class T>
bool uax(T &, const T &);
template<class T>
T gcd(T, T);
template<class T>
T lcm(T, T);
template<class _T>
inline string tostr(const _T &);
template<typename T>
void input(T &);
//template <typename T = int>
class range {
using type = int;
public:
class iterator {
friend class range;
public:
using difference_type = range::type;
using value_type = range::type;
using pointer = const range::type *;
using reference = const range::type &;
using iterator_category = std::random_access_iterator_tag;
value_type operator*() const { return i_; }
const iterator &operator++() {
++i_;
return *this;
}
iterator operator++(int) {
iterator copy(*this);
++i_;
return copy;
}
const iterator &operator--() {
--i_;
return *this;
}
iterator operator--(int) {
iterator copy(*this);
--i_;
return copy;
}
difference_type operator-(const iterator &other) const { return i_ - other.i_; }
iterator operator+(const difference_type &delta) const { return iterator(i_ + delta); }
iterator &operator+=(const difference_type &delta) {
i_ += delta;
return *this;
}
iterator operator-(const difference_type &delta) const { return iterator(i_ - delta); }
iterator &operator-=(const difference_type &delta) {
i_ -= delta;
return *this;
}
bool operator==(const iterator &other) const { return i_ == other.i_; }
bool operator!=(const iterator &other) const { return i_ != other.i_; }
protected:
iterator(const value_type &start) : i_(start) {}
private:
value_type i_;
};
iterator begin() const { return begin_; }
iterator end() const { return end_; }
range(const type &begin, const type &end) : begin_(begin), end_(end) {}
range(const type &end) : begin_(0), end_(end) {}
private:
iterator begin_;
iterator end_;
};
template<typename T = long long>
T nxt();
bool checkp(long long);
template<typename T>
T pw(T a, T n, T p);
template<typename T>
T inv(T a, T p);
template<class _T>
_T sqr(const _T &x);
class range;
mt19937_64 gen;
int TTT;
const ll mod = 1000000007;
void pre() {}
struct SuffixArray {
int *str;
int *sa;
int *ra;
int *lcp;
int *lgt;
int **rmq;
int n;
SuffixArray() : str(0), sa(0), ra(0), lcp(0), lgt(0), rmq(0), n(0) {}
int get(int pos) const {
assert(pos < n);
return str[pos];
}
void init(const vector<int> &s) {
n = (int)s.size();
str = new int[n];
for (int i = 0; i < n; ++i) str[i] = s[i];
__init();
}
void init(const string &s) {
n = (int)s.length();
str = new int[n];
for (int i = 0; i < n; ++i) str[i] = s[i];
__init();
}
void __init() {
initSa();
initLcp();
}
void initSa() {
sa = new int[n];
ra = new int[n];
int *s = new int[n];
int *c = new int[n];
int *cl = new int[n];
int *cnt = new int[n];
for (int i = 0; i < n; ++i) {
cl[i] = str[i];
sa[i] = n - i - 1;
}
stable_sort(sa, sa + n, [&](int l, int r){ return str[l] < str[r]; });
for (int len = 1; len < n; len <<= 1) {
memcpy(c, cl, n * sizeof(int));
memcpy(s, sa, n * sizeof(int));
for (int i = 0; i < n; ++i) cnt[i] = i;
int len2 = len >> 1;
for (int i = 0; i < n; ++i) {
//classes[sa[i]] = i > 0 && c[sa[i - 1]] == c[sa[i]] && sa[i - 1] + len < n && c[sa[i - 1] + len / 2] == c[sa[i] + len / 2] ? classes[sa[i - 1]] : i;
if (i > 0 && c[sa[i]] == c[sa[i - 1]] && sa[i - 1] + len < n && c[sa[i] + len2] == c[sa[i - 1] + len2]) {
cl[sa[i]] = cl[sa[i - 1]];
} else {
cl[sa[i]] = i;
}
}
for (int i = 0; i < n; ++i) {
int s1 = s[i] - len;
if (s1 >= 0) {
sa[cnt[cl[s1]]++] = s1;
}
}
}
for (int i = 0; i < n; ++i) {
ra[sa[i]] = i;
}
delete [] s;delete [] c;delete [] cl;delete [] cnt;
}
void initLcp() {
lcp = new int[n];
for (int i = 0, h = 0; i < n; ++i) {
if (ra[i] < n - 1) {
for (int j = sa[ra[i] + 1]; max(i, j) + h < n && str[i + h] == str[j + h]; ++h);
lcp[ra[i]] = h;
h = max(0, h - 1);
} else {
lcp[ra[i]] = 0;
}
}
lgt = new int[n + 1];
lgt[0] = lgt[1] = 0;
for (int i = 2; i <= n; ++i) lgt[i] = lgt[i >> 1] + 1;
rmq = new int*[lgt[n] + 1];
for (int i = 0; i <= lgt[n]; ++i) {
rmq[i] = new int[n];
}
for (int i = 0; i + 1 < n; ++i) {
rmq[0][i] = lcp[i];
}
for (int l = 1; (1 << l) < n; ++l) {
for (int i = 0; i + (1 << l) <= n; ++i) {
rmq[l][i] = min(rmq[l - 1][i], rmq[l - 1][i + (1 << (l - 1))]);
}
}
}
int getLcpForSuffixes(int l, int r) {
if (l == r) return n - l;
l = ra[l]; r = ra[r];
if (l > r) swap(l, r);
--r;
int j = lgt[r - l];
return min(rmq[j][l], rmq[j][r - (1 << j) + 1]);
}
~SuffixArray() {
if (str) delete [] str;
if (sa) delete [] sa;
if (ra) delete [] ra;
if (lgt) {
for (int i = 0; i <= lgt[n]; ++i) {
delete [] rmq[i];
}
delete [] lgt;
delete [] rmq;
}
}
} sa;
struct Substring {
int s;
int len;
int lcp(const Substring &r) const {
return min(len, min(r.len, sa.getLcpForSuffixes(s, r.s)));
}
int get(int pos) const {
if (pos >= len) {
return -1;
} else {
return sa.get(s + pos);
}
}
bool operator<(const Substring &r) const {
int lc = lcp(r);
return get(lc) < r.get(lc);
}
bool operator==(const Substring &r) const {
int lc = lcp(r);
return lc == len && lc == r.len;
}
};
struct Node {
vector <Node *> children;
Node *p;
int len;
int cnt;
Node() {
p = nullptr;
len = 0;
cnt = 0;
}
};
ll solve(Node *root, ll M) {
ll res = root->cnt;
if (root->children.empty()) {
res += 1;
} else {
ll q = 1;
for (auto c : root->children) {
q = q * solve(c, M) % M;
}
res += q;
res %= M;
}
return res;
}
ll solve(vector <Substring> x, ll M) {
sort(all(x));
auto root = new Node();
vector <Node *> st;
st.pb(root);
Substring last = Substring{0, 0};
// for (auto p : x) {
// cerr << p.s << " " << p.len << endl;
// }
for (auto s : x) {
int lcp = s.lcp(last);
// cerr << lcp << endl;
Node *lastP = nullptr;
while (st.back()->len > lcp) {
lastP = st.back();
st.pop_back();
assert(!st.empty());
}
if (st.back()->len < lcp) {
auto to_add = new Node();
to_add->len = lcp;
to_add->p = st.back();
if (lastP) {
st.back()->children.pop_back();
to_add->children.push_back(lastP);
}
st.back()->children.push_back(to_add);
st.push_back(to_add);
}
if (st.back()->len < s.len) {
auto to_add = new Node();
to_add->len = s.len;
to_add->p = st.back();
st.back()->children.push_back(to_add);
st.push_back(to_add);
}
st.back()->cnt++;
last = s;
}
return solve(root, M);
}
void solve(int test) {
int n = nxt();
int q = nxt();
string s;
cin >> s;
sa.init(s);
while (q--) {
int k = nxt();
vector <Substring> x;
ll M = nxt();
while (k--) {
int s = nxt() - 1;
int len = nxt() - s;
auto ss = Substring{s, len};
x.push_back(ss);
}
cout << solve(x, M) << "\n";
}
}
#undef int
int main(int argc, char **argv) {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
#else
#define fname "sequence"
//freopen(fname".in", "r", stdin);
//freopen(fname".out", "w", stdout);
#endif
pre();
::TTT = 1;
#ifdef LOCAL
#else
#endif
for (int test = 1; test <= ::TTT; ++test) {
solve(test);
}
#ifdef LOCAL
cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC * 1000 << " ms." << endl;
#endif
return 0;
}
template<typename T>
T gcd(T x, T y) {
while (y > 0) {
x %= y;
swap(x, y);
}
return x;
}
template<class T>
T lcm(T a, T b) {
return a / gcd(a, b) * b;
}
template<class _T>
inline _T sqr(const _T &x) {
return x * x;
}
template<class _T>
inline string tostr(const _T &a) {
ostringstream os("");
os << a;
return os.str();
}
template<typename T>
inline void input(T &a) {
static int ed;
a = 0;
while (!isdigit(ed = getchar()) && ed != '-') {}
char neg = 0;
if (ed == '-') {
neg = 1;
ed = getchar();
}
while (isdigit(ed)) {
a = 10 * a + ed - '0';
ed = getchar();
}
if (neg) a = -a;
}
template<typename T>
inline T nxt() {
T res;
input(res);
return res;
}
void myassert(bool v) {
assert(v);
//cout << "FAIL\n";
//exit(0);
}
mt19937 generator;
bool checkp(long long v) {
if (v < 2) return false;
for (long long i = 2; i * i <= v; ++i) {
if (v % i == 0) {
return false;
}
}
return true;
}
template<typename T>
T pw(T a, T n, T m) {
T res = 1;
while (n) {
if (n & 1) {
res = res * a % m;
}
a = a * a % m;
n >>= 1;
}
return res;
}
template<typename T>
T inv(T a, T p) {
T res = 1;
while (a > 1) {
res = res * (p - p / a) % p;
a = p % a;
}
return res;
}
template<class T>
bool uin(T &a, const T &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<class T>
bool uax(T &a, const T &b) {
if (b > a) {
a = b;
return true;
}
return false;
}