#include using namespace std; using ll = long long; using ull = unsigned long long; using xy = pair; using uxy = pair; using zzz = tuple; using vl = vector; using vul = vector; using vxy = vector; using vuxy = vector; using vzzz = vector; using vs = vector; using vvl = vector; using vvxy = vector; using vvzzz = vector; using vvvl = vector; using vvvxy = vector; using vvvzzz = vector; #define rep(i, n) for (long long i = 0; i < (n); i++) #define cnt(i, n, m) for (long long i = (n); i <= (m); i++) #define echo(ite, C) for (auto ite = (C).begin(); ite != (C).end(); ite++) #define recho(ite, C) for (auto ite = (C).rbegin(); ite != (C).rend(); ite++) #define yn(b) cout << (((b) > 0) ? "Yes" : "No") << endl; #define nth(a, b) (((a) >> (b)) & 1) class triHash { public: static unordered_map Hs; static unordered_map>> Hs3; private: static ull Cnt; static ull ME31; static ull ME30; static ull M1; static ull M2; static ull M3; static ull D; static ull Inv1; static ull Inv2; static ull Inv3; ull E1 = 0ULL; ull E2 = 0ULL; ull E3 = 0ULL; ull Len = 0ULL; ull B1 = 1ULL; ull B2 = 1ULL; ull B3 = 1ULL; public: triHash() : E1(0ULL), E2(0ULL), E3(0ULL), Len(0), B1(1ULL), B2(1ULL), B3(1ULL) { if (Cnt == 0) { ME31 = ((1ULL << 31) - 1ULL); ME30 = ((1ULL << 30) - 1ULL); M1 = ((1ULL << 61) - 1ULL); M2 = (2147483647ULL); M3 = (1000000007ULL); D = (67); Inv1 = (triHash::inv61(D)); Inv2 = (triHash::inv(D, M2)); Inv3 = (triHash::inv(D, M3)); } Cnt++; }; triHash(const string& S) : E1(0ULL), E2(0ULL), E3(0ULL), Len(0), B1(1ULL), B2(1ULL), B3(1ULL) { if (Cnt == 0) { ME31 = ((1ULL << 31) - 1ULL); ME30 = ((1ULL << 30) - 1ULL); M1 = ((1ULL << 61) - 1ULL); M2 = (2147483647ULL); M3 = (1000000007ULL); D = (67); Inv1 = (triHash::inv61(D)); Inv2 = (triHash::inv(D, M2)); Inv3 = (triHash::inv(D, M3)); } Cnt++; this->setStr(S); }; static ull inv(const ull& D, const ull M) { ull X = 1ULL; ull A = D; ull N = M - 2ULL; while (N > 0) { if (N & 1) X = (X * A) % M; A = (A * A) % M; N /= 2; } return X; }; static ull inv61(const ull& D) { ull X = 1ULL; ull A = D; ull N = M1 - 2ULL; while (N > 0) { if (N & 1) X = triHash::mul61(X, A); A = triHash::mul61(A, A); N /= 2; } return X; }; static ull mul61(const ull& A, const ull& B) { ull Au = A >> 31, Av = A & ME31; ull Bu = B >> 31, Bv = B & ME31; ull AB = Au * Bv + Av * Bu; ull ABu = AB >> 30, ABv = AB & ME30; ull X = Au * Bu * 2 + ABu + (ABv << 31) + Av * Bv; return mod61(X); }; static ull mod61(const ull& X) { ull Xu = X >> 61; ull Xv = X & M1; ull Y = Xu + Xv; if (Y >= M1) Y -= M1; return Y; }; static ull CtoUL(const char& C) { if (C == ' ') return 0ULL; ull X = C + 1 - '0'; if (C >= 'A') X -= 7; if (C >= 'a') X -= 6; return X; }; static char ULtoC(const ull& X) { if (X == 0ULL) return ' '; char C = (char)(X - 1 + '0'); if (C > '9') C += 7; if (C >= 'Z') C += 6; return C; }; vul getE() { vul ANS(3); ANS[0] = this->E1; ANS[1] = this->E2; ANS[2] = this->E3; return ANS; } vul getB() { vul ANS(3); ANS[0] = this->B1; ANS[1] = this->B2; ANS[2] = this->B3; return ANS; } ull getLen() { return this->Len; }; string getStr() { ull TMP = this->E1; string S; rep(i, this->Len) { ull X = TMP % D; S.push_back(triHash::ULtoC(X)); TMP = mod61(M1 + TMP - X); TMP = triHash::mul61(TMP, this->Inv1); } return S; }; void push_back(const char& C) { Len++; ull E = triHash::CtoUL(C); E1 = mod61(E1 + triHash::mul61(E, B1)); E2 = (E2 + ((E * B2) % M2)); E3 = (E3 + ((E * B3) % M3)); if (E2 >= M2) E2 -= M2; if (E3 >= M3) E3 -= M3; B1 = triHash::mul61(B1, D); B2 = (B2 * D) % M2; B3 = (B3 * D) % M3; }; void push_front(const char& C) { Len++; ull E = triHash::CtoUL(C); E1 = mod61(triHash::mul61(E1, D) + E); E2 = (((E2 * D) % M2) + E); E3 = (((E3 * D) % M3) + E); if (E2 >= M2) E2 -= M2; if (E3 >= M3) E3 -= M3; B1 = triHash::mul61(B1, D); B2 = (B2 * D) % M2; B3 = (B3 * D) % M3; if (B2 >= M2) B2 -= M2; if (B3 >= M3) B3 -= M3; }; void setStr(const string& S) { for (auto ite = S.begin(), end = S.end(); ite != end; ite++) push_back((char)*ite); }; void pop_back(const char& C) { if (Len == 0) return; Len--; ull E = triHash::CtoUL(C); B1 = triHash::mul61(B1, Inv1); B2 = (B2 * Inv2) % M2; B3 = (B3 * Inv3) % M3; E1 = mod61(M1 + E1 - triHash::mul61(E, B1)); E2 = (M2 + E2 - ((E * B2) % M2)); E3 = (M3 + E3 - ((E * B3) % M3)); if (E2 >= M2) E2 -= M2; if (E3 >= M3) E3 -= M3; } void pop_front(const char& C) { if (Len == 0) return; Len--; ull E = triHash::CtoUL(C); E1 = (M1 + E1 - E); if (E1 >= M1) E1 -= M1; E1 = triHash::mul61(E1, Inv1); E2 = (((M2 + E2 - E) % M2) * Inv2) % M2; E3 = (((M3 + E3 - E) % M3) * Inv3) % M3; B1 = triHash::mul61(B1, Inv1); B2 = (B2 * Inv2) % M2; B3 = (B3 * Inv3) % M3; }; void addNum(const ull& X) { E1 = mod61(E1 + X); E2 = (E2 + X); E3 = (E3 + X); if (E2 >= M2) E2 -= M2; if (E3 >= M3) E3 -= M3; }; void subNum(const ull& X) { E1 = mod61(M1 + E1 - X); E2 = (M2 + E2 - X); E3 = (M3 + E3 - X); if (E2 >= M2) E2 -= M2; if (E3 >= M3) E3 -= M3; }; void marge(triHash& A, triHash& B) { vul Ve1 = A.getE(); vul Ve2 = B.getE(); vul Vb1 = A.getB(); vul Vb2 = B.getB(); ull Len1 = A.getLen(); ull Len2 = B.getLen(); ull Len = A.getLen(); this->E1 = mul61(Ve2[0], Vb1[0]); this->E1 += Ve1[0]; if (this->E1 >= M1) this->E1 -= M1; this->B1 = mul61(Vb1[0], Vb2[0]); this->E2 = (Ve2[1] * Vb1[1]) % M2; this->E2 += Ve1[1]; if (this->E2 >= M2) this->E2 -= M2; this->B2 = (Vb1[1] * Vb2[1]) % M2; this->E3 = (Ve2[2] * Vb1[2]) % M3; this->E3 += Ve1[2]; if (this->E3 >= M3) this->E3 -= M3; this->B3 = (Vb1[2] * Vb2[2]) % M3; this->Len = Len1 + Len2; }; bool same(triHash& Comp) { vul Vec1 = this->getE(); vul Vec2 = Comp.getE(); return (Vec1 == Vec2); } bool same1(triHash& Comp) { vul Vec1 = this->getE(); vul Vec2 = Comp.getE(); return (Vec1[0] == Vec2[0]); } void show() { printf("--- SHOW ---\n"); printf("Len=%lld\n", this->Len); printf("[%s]\n", this->getStr().c_str()); printf(" B1=%019lld\n", E1); printf(" B2=%019lld\n", E2); printf(" B3=%019lld\n", E3); }; bool Hmake(const ull& X) { return triHash::Href(X, false); }; bool Hset(const ull& X) { return triHash::Href(X, true); }; bool Href(const ull& X, const bool& B) { auto HH1 = triHash::Hs3.find(this->E1); if (HH1 == triHash::Hs3.end()) { triHash::Hs3.emplace(this->E1, unordered_map>()); HH1 = triHash::Hs3.find(this->E1); } auto HH2 = HH1->second.find(this->E2); if (HH2 == HH1->second.end()) { HH1->second.emplace(this->E2, unordered_map()); HH2 = HH1->second.find(this->E2); } auto HH3 = HH2->second.find(this->E3); if (HH3 == HH2->second.end()) { HH2->second.emplace(this->E3, X); return true; } if (!B) return false; HH3->second = X; return true; }; pair Hfind() { auto HH1 = triHash::Hs3.find(this->E1); if (HH1 == triHash::Hs3.end()) return make_pair(false, 0ULL); auto HH2 = HH1->second.find(this->E2); if (HH2 == HH1->second.end()) return make_pair(false, 0ULL); auto HH3 = HH2->second.find(this->E3); if (HH3 == HH2->second.end()) return make_pair(false, 0ULL); return make_pair(true, HH3->second); } bool Hmake1(const ull& X) { return triHash::Href1(X, false); }; bool Hset1(const ull& X) { return triHash::Href1(X, true); }; bool Href1(const ull& X, const bool& B) { auto HH1 = triHash::Hs.find(this->E1); if (HH1 == triHash::Hs.end()) { triHash::Hs.emplace(this->E1, X); return true; } if (!B) return false; HH1->second = X; return true; }; pair Hfind1() { auto HH1 = triHash::Hs.find(this->E1); if (HH1 == triHash::Hs.end()) return make_pair(false, 0ULL); return make_pair(true, HH1->second); } }; unordered_map triHash::Hs; unordered_map>> triHash::Hs3; ull triHash::Cnt = 0; ull triHash::ME31; ull triHash::ME30; ull triHash::M1; ull triHash::M2; ull triHash::M3; ull triHash::D; ull triHash::Inv1; ull triHash::Inv2; ull triHash::Inv3; #define Mod 1000000007 int main() { string S; cin >> S; ll N = S.size(); vvl DP(N, vl(N + 1, -1)); function Func = [&Func, &S, &DP, &N](const ll& L, const ll& R) -> ll { if (DP[L][R] != -1) return DP[L][R]; if (L == R) { DP[L][R] = 0; return DP[L][R]; } if ((L + 1) == R) { DP[L][R] = 1; return DP[L][R]; } // cout << "[" << L << " " << R << ")" << endl; DP[L][R] = 1; triHash Hf; triHash Hb; ll TMP = 1; cnt(i, L, N - 1) { ll j = N - 1 - i; if (i >= j) break; Hf.push_front(S[i]); Hb.push_back(S[j]); // Hf.show(); // Hb.show(); if (Hf.same(Hb)) { TMP = (TMP + Func(i + 1, j)) % Mod; } } DP[L][R] = TMP; // cout << " [" << L << " " << R << ") = " << DP[L][R] << endl; return DP[L][R]; }; cout << Func(0, N) << endl; return 0; }