#line 1 "main.cpp" //#pragma GCC target("avx") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include #ifdef LOCAL #include #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (static_cast(0)) #endif using namespace std; using ll = long long; using ld = long double; using pll = pair; using pii = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vpii = vector; using vpll = vector; using vs = vector; template using pq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(a,b,c,name,...) name #define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER) #define rep2(i, n) for (ll i = 0; i < (n); ++i) #define rep3(i, a, b) for (ll i = (a); i < (b); ++i) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for(ll i = (n) - 1;i >= 0;i--) #define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--) #define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--) #define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(i) begin(i) , end(i) #define all2(i,a) begin(i) , begin(i) + a #define all3(i,a,b) begin(i) + a , begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) template bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; } template auto min(const T& a){return *min_element(all(a));} template auto max(const T& a){return *max_element(all(a));} template void in(Ts&... t); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type, name, size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;} ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);} ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;} namespace IO{ #define VOID(a) decltype(void(a)) struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting; template struct P : P{}; template<> struct P<0>{}; template void i(T& t){ i(t, P<3>{}); } void i(vector::reference t, P<3>){ int a; i(a); t = a; } template auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template void ituple(T& t, index_sequence){ in(get(t)...);} template auto i(T& t, P<0>) -> VOID(tuple_size{}){ ituple(t, make_index_sequence::value>{});} #undef VOID } #define unpack(a) (void)initializer_list{(a, 0)...} template void in(Ts&... t){ unpack(IO :: i(t)); } #undef unpack static const double PI = 3.1415926535897932; template struct REC { F f; REC(F &&f_) : f(forward(f_)) {} template auto operator()(Args &&...args) const { return f(*this, forward(args)...); }}; //constexpr int mod = 1000000007; constexpr int mod = 998244353; #include using namespace atcoder; template struct SparseTable { inline static constexpr T INF = numeric_limits::max() / 2; int N; vector > table; T f(T a, T b) { return min(a, b); } SparseTable() {} SparseTable(const vector &v) : N(v.size()) { int b = 1; while ((1 << b) <= N) ++b; table.push_back(v); for (int i = 1; i < b; i++) { table.push_back(vector(N, INF)); for (int j = 0; j + (1 << i) <= N; j++) { table[i][j] = f(table[i - 1][j], table[i - 1][j + (1 << (i - 1))]); } } } // [l, r) T query(int l, int r) { assert(0 <= l and l <= r and r <= N); if (l == r) return INF; int b = 31 - __builtin_clz(r - l); return f(table[b][l], table[b][r - (1 << b)]); } }; #line 2 "library/segtree/lazysegtree.hpp" template struct lazy_segtree { public: lazy_segtree() : lazy_segtree(0) {} explicit lazy_segtree(int n) : lazy_segtree(vector(n, e())) {} explicit lazy_segtree(const vector& v) : _n(int(v.size())) { log = 0; while ((1U << log) < (unsigned int)(_n)) log++; size = 1 << log; d = vector(2 * size, e()); lz = vector(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { assert(0 <= l && l <= r && r <= _n); if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template int max_right(int l, G g) { assert(0 <= l && l <= _n); assert(g(e())); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!g(op(sm, d[l]))) { while (l < size) { push(l); l = (2 * l); if (g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template int min_left(int r, G g) { assert(0 <= r && r <= _n); assert(g(e())); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!g(op(d[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; vector d; vector lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) lz[k] = composition(f, lz[k]); } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; #line 115 "main.cpp" struct S { ll val;int size; }; const ll LINF = 0x1fffffffffffffff; S op(S x,S y) {return S{x.val + y.val,x.size + y.size};} S e() {return S{0,1};} S mapping(ll f,S x) { if (f == LINF) return x; return S{f*x.size,x.size}; } ll composition (ll L,ll R) { if (L == LINF) return R; return L; } ll id() {return LINF;} #line 2 "segment-tree/segment-tree-beats.hpp" struct AngelBeats { using i64 = long long; static constexpr i64 INF = numeric_limits::max() / 2.1; struct alignas(32) Node { i64 sum = 0, g1 = 0, l1 = 0; i64 g2 = -INF, gc = 1, l2 = INF, lc = 1, add = 0; }; vector v; i64 n, log; AngelBeats() {} AngelBeats(int _n) : AngelBeats(vector(_n)) {} AngelBeats(const vector& vc) { n = 1, log = 0; while (n < (int)vc.size()) n <<= 1, log++; v.resize(2 * n); for (i64 i = 0; i < (int)vc.size(); ++i) { v[i + n].sum = v[i + n].g1 = v[i + n].l1 = vc[i]; } for (i64 i = n - 1; i; --i) update(i); } void range_chmin(int l, int r, i64 x) { inner_apply<1>(l, r, x); } void range_chmax(int l, int r, i64 x) { inner_apply<2>(l, r, x); } void range_add(int l, int r, i64 x) { inner_apply<3>(l, r, x); } void range_update(int l, int r, i64 x) { inner_apply<4>(l, r, x); } i64 range_min(int l, int r) { return inner_fold<1>(l, r); } i64 range_max(int l, int r) { return inner_fold<2>(l, r); } i64 range_sum(int l, int r) { return inner_fold<3>(l, r); } private: void update(int k) { Node& p = v[k]; Node& l = v[k * 2 + 0]; Node& r = v[k * 2 + 1]; p.sum = l.sum + r.sum; if (l.g1 == r.g1) { p.g1 = l.g1; p.g2 = max(l.g2, r.g2); p.gc = l.gc + r.gc; } else { bool f = l.g1 > r.g1; p.g1 = f ? l.g1 : r.g1; p.gc = f ? l.gc : r.gc; p.g2 = max(f ? r.g1 : l.g1, f ? l.g2 : r.g2); } if (l.l1 == r.l1) { p.l1 = l.l1; p.l2 = min(l.l2, r.l2); p.lc = l.lc + r.lc; } else { bool f = l.l1 < r.l1; p.l1 = f ? l.l1 : r.l1; p.lc = f ? l.lc : r.lc; p.l2 = min(f ? r.l1 : l.l1, f ? l.l2 : r.l2); } } void push_add(int k, i64 x) { Node& p = v[k]; p.sum += x << (log + __builtin_clz(k) - 31); p.g1 += x; p.l1 += x; if (p.g2 != -INF) p.g2 += x; if (p.l2 != INF) p.l2 += x; p.add += x; } void push_min(int k, i64 x) { Node& p = v[k]; p.sum += (x - p.g1) * p.gc; if (p.l1 == p.g1) p.l1 = x; if (p.l2 == p.g1) p.l2 = x; p.g1 = x; } void push_max(int k, i64 x) { Node& p = v[k]; p.sum += (x - p.l1) * p.lc; if (p.g1 == p.l1) p.g1 = x; if (p.g2 == p.l1) p.g2 = x; p.l1 = x; } void push(int k) { Node& p = v[k]; if (p.add != 0) { push_add(k * 2 + 0, p.add); push_add(k * 2 + 1, p.add); p.add = 0; } if (p.g1 < v[k * 2 + 0].g1) push_min(k * 2 + 0, p.g1); if (p.l1 > v[k * 2 + 0].l1) push_max(k * 2 + 0, p.l1); if (p.g1 < v[k * 2 + 1].g1) push_min(k * 2 + 1, p.g1); if (p.l1 > v[k * 2 + 1].l1) push_max(k * 2 + 1, p.l1); } void subtree_chmin(int k, i64 x) { if (v[k].g1 <= x) return; if (v[k].g2 < x) { push_min(k, x); return; } push(k); subtree_chmin(k * 2 + 0, x); subtree_chmin(k * 2 + 1, x); update(k); } void subtree_chmax(int k, i64 x) { if (x <= v[k].l1) return; if (x < v[k].l2) { push_max(k, x); return; } push(k); subtree_chmax(k * 2 + 0, x); subtree_chmax(k * 2 + 1, x); update(k); } template inline void _apply(int k, i64 x) { if constexpr (cmd == 1) subtree_chmin(k, x); if constexpr (cmd == 2) subtree_chmax(k, x); if constexpr (cmd == 3) push_add(k, x); if constexpr (cmd == 4) subtree_chmin(k, x), subtree_chmax(k, x); } template void inner_apply(int l, int r, i64 x) { if (l == r) return; l += n, r += n; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) _apply(l++, x); if (r & 1) _apply(--r, x); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template inline i64 e() { if constexpr (cmd == 1) return INF; if constexpr (cmd == 2) return -INF; return 0; } template inline void op(i64& a, const Node& b) { if constexpr (cmd == 1) a = min(a, b.l1); if constexpr (cmd == 2) a = max(a, b.g1); if constexpr (cmd == 3) a += b.sum; } template i64 inner_fold(int l, int r) { if (l == r) return e(); l += n, r += n; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } i64 lx = e(), rx = e(); while (l < r) { if (l & 1) op(lx, v[l++]); if (r & 1) op(rx, v[--r]); l >>= 1; r >>= 1; } if constexpr (cmd == 1) lx = min(lx, rx); if constexpr (cmd == 2) lx = max(lx, rx); if constexpr (cmd == 3) lx += rx; return lx; } }; /** * @brief Range Chmin Chmax Add Update Range Min Max Sum Segment Tree Beats! * @docs docs/segment-tree/segment-tree-beats.md */ int main() { INT(n,q); STR(s); vi L(q),R(q); rep(i,q) { cin >> L[i] >> R[i]; L[i]--; } auto sa = suffix_array(s); auto lcp = lcp_array(s,sa); auto spt = SparseTable(lcp); vi ord(q); vi inv(n); rep(i,n) inv[sa[i]] = i; iota(all(ord),0); sort(all(ord),[&](int x,int y){ if(inv[L[x]] <= inv[L[y]]) { int l = spt.query(inv[L[x]],inv[L[y]]); if(l < R[y] - L[y]) return true; else return R[x] - L[x] < R[y] - L[y]; } else { int l = spt.query(inv[L[y]],inv[L[x]]); if(l < R[x] - L[x]) return false; else return R[x] - L[x] < R[y] - L[y]; } }); vl ans(q); debug(ord); int cur = 0; lazy_segtree seg(n); for(auto &id:ord) { int l = L[id],r = R[id]; while(cur < n && spt.query(cur,inv[l]) < r - l) { seg.set(cur,{n-sa[cur],1}); cur++; } //seg.apply(cur,inv[l]+1,r-l-1); int i = inv[l] + 1; ans[id] = seg.all_prod().val; } vl init(n,1e9); AngelBeats abseg(init); debug(ans); vector evt(n); rep(i,q) evt[L[i]].emplace_back(i,R[i]); rrep(i,n) { if(i < n - 1) abseg.range_chmin(i+1,n,lcp[i]); int l = sa[i]; for(auto &[id,r]:evt[l]) { int len = r - l; int ng = n; int ok = i; while(ng - ok > 1) { int mid = (ng + ok) / 2; debug(mid); int lc = spt.query(i,mid); if(lc >= len) ok = mid; else ng = mid; } //debug(i,l,r,ok,ng); ans[id] += 1LL * (ok - i) * (r - l - 1); ans[id] += abseg.range_sum(ok+1,n); } } debug(ans); AngelBeats abseg2(init); rep(i,n) { if(i > 0) abseg2.range_chmin(0,i,lcp[i-1]); int l = sa[i]; for(auto &[id,r]:evt[l]) { int len = r - l; int ng = -1; int ok = i; while(ok - ng > 1) { int mid = (ng + ok) / 2; debug(mid); int lc = spt.query(mid,i); if(lc >= len) ok = mid; else ng = mid; } debug(i,l,r,ok,ng); ans[id] += 1LL * (i + 1 - ok) * (r - l - 1); ans[id] += abseg2.range_sum(0,ok); } } rep(i,q) cout << ans[i] << '\n'; }