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#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0355" #include "template.cpp" #include "string/rolling-hash.cpp" #include "data-structure/lazy-segtree.cpp" #include "string/hash-monoid.cpp" #include "util/fast-io.cpp" int main() { int n = IN; string u = IN; LazyHashSegTree hash(all(u), n); rep(IN) { string cmd = IN; if (cmd[0] == 's') { int x = IN1, y = IN1; string z = IN; hash.modify(x, y+1, z[0]); } else { int a = IN1, b = IN1, c = IN1, d = IN1; b++; d++; int eq = 0, neq = min(b-a, d-c)+1; while (neq - eq > 1) { int m = (eq + neq) / 2; auto l = hash.fold(a, a+m); auto r = hash.fold(c, c+m); (l == r ? eq : neq) = m; } if (eq == b-a and eq == d-c) OUT("e"); else if (eq == b-a) OUT("s"); else if (eq == d-c) OUT("t"); else { auto s = hash.fold(a+eq, a+eq+1).value; auto t = hash.fold(c+eq, c+eq+1).value; OUT(s < t ? "s" : "t"); } } } }
#line 1 "verify/aoj/0355.test.cpp" #define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0355" #line 2 "template.cpp" #ifndef LOCAL #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx") #endif #include <algorithm> #include <bitset> #include <cassert> #include <cmath> #include <functional> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> using namespace std; using ll = long long; using ull = unsigned long long; using VI = vector<int>; using VVI = vector<vector<int>>; using VLL = vector<ll>; using VVLL = vector<vector<ll>>; using VB = vector<bool>; using PII = pair<int, int>; using PLL = pair<ll, ll>; constexpr int INF = 1000000007; constexpr ll INF_LL = 1'000'000'000'000'000'007; #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define newl '\n' // loops rep(until) / rep(var, until) / rep(var, from, until) / repr (reversed order) #define OVERLOAD3(_1, _2, _3, name, ...) name #define rep(...) OVERLOAD3(__VA_ARGS__, REPEAT_FROM_UNTIL, REPEAT_UNTIL, REPEAT)(__VA_ARGS__) #define REPEAT(times) REPEAT_CNT(_repeat, __COUNTER__, times) #define REPEAT_CNT(_repeat, cnt, times) REPEAT_CNT_CAT(_repeat, cnt, times) #define REPEAT_CNT_CAT(_repeat, cnt, times) REPEAT_FROM_UNTIL(_repeat ## cnt, 0, times) #define REPEAT_UNTIL(name, times) REPEAT_FROM_UNTIL(name, 0, times) #define REPEAT_FROM_UNTIL(name, from, until) for (int name = from, name ## __until = (until); name < name ## __until; name++) #define repr(...) OVERLOAD3(__VA_ARGS__, REPR_FROM_UNTIL, REPR_UNTIL, REPEAT)(__VA_ARGS__) #define REPR_UNTIL(name, times) REPR_FROM_UNTIL(name, 0, times) #define REPR_FROM_UNTIL(name, from, until) for (int name = (until)-1, name ## __from = (from); name >= name ## __from; name--) template <typename T, typename U> bool chmin(T& var, U x) { if (var > x) { var = x; return true; } else return false; } template <typename T, typename U> bool chmax(T& var, U x) { if (var < x) { var = x; return true; } else return false; } ll power(ll e, ll t, ll mod = INF_LL) { ll res = 1; for (; t; t >>= 1, (e *= e) %= mod) if (t & 1) (res *= e) %= mod; return res; } ll choose(ll n, int r) { chmin(r, n-r); if (r < 0) return 0; ll res = 1; rep(i, r) res *= n-i, res /= i+1; return res; } template <typename T, typename U> T divceil(T m, U d) { return (m + d - 1) / d; } template <typename T> vector<T> make_v(size_t a, T b) { return vector<T>(a, b); } template <typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v(ts...))>(a, make_v(ts...)); } // debugging stuff #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wmisleading-indentation" #define repi(it, ds) for (auto it = ds.begin(); it != ds.end(); it++) class DebugPrint { public: template <typename T> DebugPrint& operator <<(const T& v) { #ifdef LOCAL cerr << v; #endif return *this; } } debugos; template <typename T> DebugPrint& operator<<(DebugPrint& os, const vector<T>& vec) { os << "{"; for (int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : ", "); os << "}"; return os; } template <typename T, typename U> DebugPrint& operator<<(DebugPrint& os, const map<T, U>& map_var) { os << "{"; repi(itr, map_var) { os << * itr; itr++; if (itr != map_var.end()) os << ", "; itr--; } os << "}"; return os; } template < typename T> DebugPrint& operator<<(DebugPrint& os, const set<T>& set_var) { os << "{"; repi( itr, set_var) { os << *itr; itr++; if (itr != set_var.end()) os << ", "; itr--; } os << "}"; return os; } template <typename T, typename U> DebugPrint& operator<<(DebugPrint& os, const pair<T, U>& p) { os << "(" << p.first << ", " << p.second << ")"; return os; } void dump_func( ) { debugos << newl; } template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) { debugos << head; if (sizeof...(Tail) > 0) { debugos << ", "; } dump_func(forward <Tail>(tail)...); } #ifdef LOCAL #define dump(...) debugos << " " << string(#__VA_ARGS__) << ": " << "[" << to_string(__LINE__) \ << ":" << __FUNCTION__ << "]" << newl << " ", dump_func(__VA_ARGS__) #else #define dump(...) ({}) #endif #pragma GCC diagnostic pop #line 2 "string/rolling-hash.cpp" #include <random> #line 5 "string/rolling-hash.cpp" namespace rolling_hash { constexpr ull mask30 = (1ULL << 30) - 1; constexpr ull mask31 = (1ULL << 31) - 1; constexpr ull MOD = (1ULL << 61) - 1; random_device rd; int base = uniform_int_distribution<int>(0)(rd); vector<ull> pows{1}; vector<ull> sum_pows{1}; ull mod(ull val) { val = (val & MOD) + (val >> 61); return val >= MOD ? val - MOD : val; } ull mul(ull l, ull r) { ull lu = l >> 31, ld = l & mask31; ull ru = r >> 31, rd = r & mask31; ull middle = ld * ru + lu * rd; return ((lu * ru) << 1) + ld * rd + ((middle & mask30) << 31) + (middle >> 30); } ull mul(ull l, int r) { ull lu = l >> 31, ld = l & mask31; ull middle = lu * r; return ld * r + ((middle & mask30) << 31) + (middle >> 30); } void prepare_pows(size_t sz) { rep(i, pows.size() - 1, sz - 1) pows.push_back(mod(mul(pows[i], base))); } void prepare_sum_pows(size_t sz) { prepare_pows(sz); rep(i, sum_pows.size() - 1, sz - 1) { sum_pows.push_back(mod(sum_pows[i] + pows[i + 1])); } } ull calc_hash(char c, int _length) { prepare_sum_pows(_length); return mod(mul(sum_pows[_length - 1], c)); } template <typename Iter> ull calc_hash(Iter first, Iter last) { ull res = 0; while (first != last) res = mod(mul(res, base) + *first++); return res; } // monoid struct Hash { ull value; int length; Hash() : value(0), length(0) {} // unit Hash(ull _value, int _length) : value(_value), length(_length) {} Hash(char c, int _length = 1) : value(calc_hash(c, _length)), length(_length) {} template <typename Iter> Hash(Iter first, Iter last): value(calc_hash(first, last)), length(distance(first, last)) {} public: operator ull() const { return value; } bool operator==(const Hash& rhs) const { return value == rhs.value && length == rhs.length; } bool operator!=(const Hash& rhs) const { return value != rhs.value && length != rhs.length; } bool operator<(const Hash& rhs) const { return make_pair(length, value) < make_pair(rhs.length, rhs.value); } }; class Calculator { private: vector<ull> hash; public: template <typename Iter> Calculator(Iter first, Iter last) : hash(last - first + 1) { prepare_pows(last - first + 1); rep(i, last - first) hash[i + 1] = mod(mul(hash[i], base) + first[i]); // assert(hash[i+1] < (1ULL << 62)); } public: ull operator()(int l, int r) const { static constexpr ull large = MOD * ((1 << 2) - 1); return mod(hash[r] + large - mul(hash[l], pows[r - l])); } Hash get_hash(int l, int r) const { return Hash(operator()(l, r), r - l); } }; } // namespace rolling_hash #line 2 "data-structure/lazy-segtree.cpp" #line 2 "util/function-objects.cpp" #line 4 "util/function-objects.cpp" struct minT { template <typename T> T operator()(T a, T b) const { return min(a, b); } }; struct maxT { template <typename T> T operator()(T a, T b) const { return max(a, b); } }; #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-parameter" struct assignT { template <typename T> T operator()(T a, T b, int k = 0) const { return b; } }; #pragma GCC diagnostic pop struct plusT { template <typename T> T operator()(T a, T b, int k = 1) const { return a + b * k; } }; #line 5 "data-structure/lazy-segtree.cpp" #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wshadow" template <typename T, typename Actor, typename Combine, typename ACombine, typename Action> struct LazySegmentTree { private: const size_t n, h; const T unit; const Actor aunit; const Combine combine; const ACombine acombine; const Action upd; vector<T> data; vector<Actor> lazy; public: LazySegmentTree(size_t n = 0, T unit = {}, Actor aunit = {}, Combine combine = {}, ACombine acombine = {}, Action upd = {}) : n(n), h(32 - __builtin_clz(n)), unit(unit), aunit(aunit), combine(combine), acombine(acombine), upd(upd), data(n << 1, unit), lazy(n, aunit) { build(0, n); } template < typename Iter, enable_if_t<is_same<typename Iter::value_type, T>::value>* = nullptr> LazySegmentTree(Iter first, Iter last, size_t n, T unit = {}, Actor aunit = {}, Combine combine = {}, ACombine acombine = {}, Action upd = {}) : n(n), h(32 - __builtin_clz(n)), unit(unit), aunit(aunit), combine(combine), acombine(acombine), upd(upd), data(n << 1, unit), lazy(n, aunit) { copy(first, last, data.begin() + n); build(0, n); } template < typename Iter, enable_if_t<!is_same<typename Iter::value_type, T>::value>* = nullptr> [[deprecated]] LazySegmentTree(Iter first, Iter last, size_t n, T unit = {}, Actor aunit = {}, Combine combine = {}, ACombine acombine = {}, Action upd = {}) : n(n), h(32 - __builtin_clz(n)), unit(unit), aunit(aunit), combine(combine), acombine(acombine), upd(upd), data(n << 1, unit), lazy(n, aunit) { copy(first, last, data.begin() + n); build(0, n); } template <typename Iter> LazySegmentTree(Iter first, Iter last, T unit = {}, Actor aunit = {}, Combine combine = {}, ACombine acombine = {}, Action upd = {}) : LazySegmentTree(first, last, distance(first, last), unit, aunit, combine, acombine, upd) {} private: void apply(int p, Actor e, int sz) { if (e == aunit) return; data[p] = upd(data[p], e, sz); if (p < n) { if (lazy[p] == aunit) lazy[p] = e; else lazy[p] = acombine(lazy[p], e); } } void pushdown(int p, int sz) { if (p >= n or lazy[p] == aunit) return; apply(p << 1, lazy[p], sz >> 1); apply(p << 1 | 1, lazy[p], sz >> 1); lazy[p] = aunit; } void pushup(int p, int sz) { if (p >= n) return; data[p] = combine(data[p << 1], data[p << 1 | 1]); if (lazy[p] != aunit) data[p] = upd(data[p], lazy[p], sz); } void flush(int l, int r) { int s = h, k = 1 << h; for (l += n, r += n - 1; s > 0; s--, k >>= 1) for (int p = l >> s; p <= r >> s; p++) pushdown(p, k); } void build(int l, int r) { int sz = 2; for (l += n, r += n - 1; l > 1; sz <<= 1) { l >>= 1, r >>= 1; for (int p = l; p <= r; p++) pushup(p, sz); } } public: void modify(int l, int r, Actor e) { if (e == aunit) return; flush(l, l + 1); flush(r - 1, r); int l0 = l, r0 = r, k = 1; for (l += n, r += n; l < r; l >>= 1, r >>= 1, k <<= 1) { if (l & 1) apply(l++, e, k); if (r & 1) apply(--r, e, k); } build(l0, l0 + 1); build(r0 - 1, r0); } T fold(int l, int r) { flush(l, l + 1); flush(r - 1, r); T resl = unit, resr = unit; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) resl = combine(resl, data[l++]); if (r & 1) resr = combine(data[--r], resr); } return combine(resl, resr); } }; #pragma GCC diagnostic pop #line 2 "string/hash-monoid.cpp" #line 2 "data-structure/segtree.cpp" #line 5 "data-structure/segtree.cpp" #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wshadow" template <typename T, typename Combine, typename Action> class SegmentTree { private: const size_t n; const T unit; const Combine combine; const Action action; vector<T> data; public: SegmentTree(size_t n = 0, T unit = {}, Combine combine = {}, Action action = {}) : n(n), unit(unit), combine(combine), action(action), data(n << 1, unit) { build(); } template < typename Iter, enable_if_t<is_same<typename Iter::value_type, T>::value>* = nullptr> SegmentTree(Iter first, Iter last, size_t n, T unit = {}, Combine combine = {}, Action action = {}) : n(n), unit(unit), combine(combine), action(action), data(n << 1) { copy(first, last, data.begin() + n); build(); } template < typename Iter, enable_if_t<!is_same<typename Iter::value_type, T>::value>* = nullptr> [[deprecated]] SegmentTree(Iter first, Iter last, size_t n, T unit = {}, Combine combine = {}, Action action = {}) : n(n), unit(unit), combine(combine), action(action), data(n << 1) { copy(first, last, data.begin() + n); build(); } template <typename Iter> SegmentTree(Iter first, Iter last, T unit = {}, Combine combine = {}, Action action = {}) : SegmentTree(first, last, distance(first, last), unit, combine, action) { } private: void build() { repr(i, n) data[i] = combine(data[i << 1], data[i << 1 | 1]); } public: void modify(int l, T v) { l += n; data[l] = action(data[l], v); for (; l > 1; l >>= 1) data[l >> 1] = combine(data[l & (~1)], data[l | 1]); } T fold(int l, int r) const { if (l == r) return unit; if (l + 1 == r) return data[l + n]; T resl = data[l += n], resr = data[(r += n) - 1]; for (l++, r--; l < r; l >>= 1, r >>= 1) { if (l & 1) resl = combine(resl, data[l++]); if (r & 1) resr = combine(data[--r], resr); } return combine(resl, resr); } // min r s.t. fold(l, r) >= v -- or n+1 if failed template <typename Compare = less<T>> int lower_bound(T v, int l = 0, Compare comp = {}) { if (not comp(unit, v)) return l; int r = n; VI rootL, rootR; for (l += n, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) rootL.push_back(l++); if (r & 1) rootR.push_back(--r); } VI roots = move(rootL); roots.insert(roots.end(), rall(rootR)); T accL = unit; for (int root : roots) { T tmpL = combine(accL, data[root]); if (comp(tmpL, v)) { accL = tmpL; continue; } while (root < n) { tmpL = combine(accL, data[root << 1]); if (comp(tmpL, v)) accL = tmpL, root = root << 1 | 1; else root = root << 1; } return root - n + 1; } return n + 1; } }; #pragma GCC diagnostic pop #line 6 "string/hash-monoid.cpp" namespace hash_monoid { using namespace rolling_hash; struct mergeT { Hash operator()(const Hash& lhs, const Hash& rhs) const { prepare_pows(rhs.length + 1); return Hash(mod(mul(lhs.value, pows[rhs.length]) + rhs.value), lhs.length + rhs.length); } }; #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-parameter" struct updT { Hash operator()(const Hash& lhs, char c, int k = 1) const { return Hash(c, k); } }; #pragma GCC diagnostic pop } // namespace hash_monoid using HashSegTree = SegmentTree<rolling_hash::Hash, hash_monoid::mergeT, hash_monoid::updT>; using LazyHashSegTree = LazySegmentTree<rolling_hash::Hash, char, hash_monoid::mergeT, assignT, hash_monoid::updT>; #line 1 "util/fast-io.cpp" // IO #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wmisleading-indentation" class MyScanner { public: int offset = 0; char nc(){ return getchar(); } template <typename T> void input_integer(T& var) { var = 0; T sign = 1; int cc = nc(); for (; cc < '0' || '9' < cc; cc = nc()) if (cc == '-') sign = -1; for (; '0' <= cc && cc <= '9'; cc = nc()) var = (var << 3) + (var << 1) + cc - '0'; var = var * sign; var += offset; } int c() { char c; while (c = nc(), c == ' ' or c == '\n'); return c; } MyScanner& operator>>(char& var) { var = c(); return *this; } MyScanner& operator>>(int& var) { input_integer<int>(var); return *this; } MyScanner& operator>>(ll& var) { input_integer<ll>(var); return *this; } MyScanner& operator>>(string& var) { var = ""; int cc = nc(); for (; !isgraph(cc); cc = nc()); for (; isgraph(cc); cc = nc()) var.push_back(cc); return *this; } template <size_t N> MyScanner& operator>>(bitset<N>& var) { ll v; input_integer<ll>(v); var = bitset<N>(v); return *this; } template <typename T> operator T() { T x; *this >> x; return x; } template <typename T> void operator()(T &t) { *this >> t; } template <typename T, typename... Ts> void operator() (T &t, Ts &...ts) { *this >> t; this->operator()(ts...); } template <typename Iter> void iter (Iter first, Iter last) { while (first != last) *this >> *first, first++; } VI vi(int n) { VI res(n); iter(all(res)); return res; } VVI vvi(int n, int m) { VVI res(n); rep(i, n) res[i] = vi(m); return res; } VLL vll(int n) { VLL res(n); iter(all(res)); return res; } VVLL vvll(int n, int m) { VVLL res(n); rep(i, n) res[i] = vll(m); return res; } template <typename T> vector <T> v(int n) { vector<T> res(n); iter(all(res)); return res; } } IN, IN1{-1}; class MyPrinter { public: int offset = 0; template <typename T> void output_integer(T var) { var += offset; if (var == 0) { putchar('0'); return; } if (var < 0) putchar('-'), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putchar(stack[--stack_p]); } MyPrinter& operator<<(char c) { putchar(c); return *this; } MyPrinter& operator<<(double x) { printf("%.10f", x); return *this; } template <typename T> MyPrinter& operator<<(T var) { output_integer<T>(var); return *this; } MyPrinter& operator<<( char* str_p) { while (*str_p) putchar(*(str_p++)); return *this; } MyPrinter& operator<<(const char* str_p) { while (*str_p) putchar(*(str_p++)); return *this; } MyPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putchar(*p++); return *this; } template <typename T> void operator()(T x) { *this << x << newl ; } template <typename T, typename... Ts> void operator()(T x, Ts ...xs) { *this << x << " "; this->operator()(xs...); } template <typename Iter> void iter(Iter s, Iter t) { if (s == t) * this << "\n"; else for (; s != t; s++) *this << *s << " \n"[next(s, 1) == t]; } } OUT, OUT1{1} ; template <typename T, typename U> MyPrinter& operator<<(MyPrinter& out, const pair<T, U>& var) { return out << var.first << " " << var.second; } template <typename Tuple, size_t I, size_t N, enable_if_t<I == N>* = nullptr> MyPrinter& tuple_impl(MyPrinter& out, const Tuple& var) { return out; } template <typename Tuple, size_t I, size_t N, enable_if_t<I != N>* = nullptr> MyPrinter& tuple_impl(MyPrinter& out, const Tuple& var) { out << get<I>(var) << " "; return tuple_impl<Tuple, I+1, N>(out, var); } template <typename... Ts> MyPrinter& operator<<( MyPrinter& out, const tuple<Ts...>& var) { return tuple_impl<tuple<Ts...>, 0, sizeof...(Ts)>( out, var); } template <typename T, typename U> MyScanner& operator>>(MyScanner& in, pair<T, U> & var) { return in >> var.first >> var.second; } template <typename Tuple, size_t I, size_t N, enable_if_t<I == N>* = nullptr> MyScanner& tuple_impl(MyScanner& in, Tuple& var) { return in; } template <typename Tuple, size_t I, size_t N, enable_if_t<I != N>* = nullptr> MyScanner& tuple_impl(MyScanner& in, Tuple& var) { in >> get<I>(var); return tuple_impl<Tuple, I+1, N>(in , var); } template <typename... Ts> MyScanner& operator>>(MyScanner& in, tuple<Ts...>& var) { return tuple_impl<tuple<Ts...>, 0, sizeof...(Ts)>(in, var); } #pragma GCC diagnostic pop #line 8 "verify/aoj/0355.test.cpp" int main() { int n = IN; string u = IN; LazyHashSegTree hash(all(u), n); rep(IN) { string cmd = IN; if (cmd[0] == 's') { int x = IN1, y = IN1; string z = IN; hash.modify(x, y+1, z[0]); } else { int a = IN1, b = IN1, c = IN1, d = IN1; b++; d++; int eq = 0, neq = min(b-a, d-c)+1; while (neq - eq > 1) { int m = (eq + neq) / 2; auto l = hash.fold(a, a+m); auto r = hash.fold(c, c+m); (l == r ? eq : neq) = m; } if (eq == b-a and eq == d-c) OUT("e"); else if (eq == b-a) OUT("s"); else if (eq == d-c) OUT("t"); else { auto s = hash.fold(a+eq, a+eq+1).value; auto t = hash.fold(c+eq, c+eq+1).value; OUT(s < t ? "s" : "t"); } } } }