#include #include #include #include #include #include #include const int DIGIT = 6; const int BASE = 1000000; struct positive_bigint{ std::vector d; positive_bigint(){ } positive_bigint(long long X){ while (X > 0){ d.push_back(X % BASE); X /= BASE; } } positive_bigint(std::string S){ if (S == "0"){ S = ""; } int L = S.size(); d.resize((L + DIGIT - 1) / DIGIT, 0); for (int i = L - 1; i >= 0; i -= 6){ for (int j = std::max(i - 5, 0); j <= i; j++){ d[i / DIGIT] *= 10; d[i / DIGIT] += S[j] - '0'; } } std::reverse(d.begin(), d.end()); } bool empty() const { return d.empty(); } int size() const { return d.size(); } int& operator [](int i){ return d[i]; } int operator [](int i) const { return d[i]; } }; std::string to_string(const positive_bigint &A){ int N = A.size(); std::string ans; for (int i = N - 1; i >= 0; i--){ std::string tmp = std::to_string(A[i]); if (i < N - 1){ ans += std::string(DIGIT - tmp.size(), '0'); } ans += tmp; } if (ans.empty()){ ans = "0"; } return ans; } std::istream& operator >>(std::istream &is, positive_bigint &A){ std::string S; is >> S; A = positive_bigint(S); return is; } std::ostream& operator <<(std::ostream &os, positive_bigint &A){ os << to_string(A); return os; } int cmp(const positive_bigint &A, const positive_bigint &B){ int N = A.size(); int M = B.size(); if (N < M){ return -1; } else if (N > M){ return 1; } else { for (int i = N - 1; i >= 0; i--){ if (A[i] < B[i]){ return -1; } if (A[i] > B[i]){ return 1; } } return 0; } } bool operator ==(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) == 0; } bool operator !=(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) != 0; } bool operator <(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) < 0; } bool operator >(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) > 0; } bool operator <=(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) <= 0; } bool operator >=(const positive_bigint &A, const positive_bigint &B){ return cmp(A, B) >= 0; } positive_bigint& operator +=(positive_bigint &A, const positive_bigint &B){ int N = A.size(); int M = B.size(); while (N < M){ A.d.push_back(0); N++; } for (int i = 0; i < M; i++){ A[i] += B[i]; } for (int i = 0; i < N - 1; i++){ if (A[i] >= BASE){ A[i] -= BASE; A[i + 1]++; } } if (N > 0){ if (A[N - 1] >= BASE){ A.d.push_back(1); A[N - 1] -= BASE; } } return A; } positive_bigint operator +(const positive_bigint &A, const positive_bigint &B){ positive_bigint A2 = A; A2 += B; return A2; } positive_bigint& operator -=(positive_bigint &A, const positive_bigint &B){ int N = A.size(); int M = B.size(); for (int i = 0; i < M; i++){ A[i] -= B[i]; } for (int i = 0; i < N - 1; i++){ if (A[i] < 0){ A[i] += BASE; A[i + 1]--; } } while (!A.empty()){ if (A.d.back() == 0){ A.d.pop_back(); } else { break; } } return A; } positive_bigint operator -(const positive_bigint &A, const positive_bigint &B){ positive_bigint A2 = A; A2 -= B; return A2; } positive_bigint operator *(const positive_bigint &A, const positive_bigint &B){ if (A.empty() || B.empty()){ return 0; } int N = A.size(); int M = B.size(); std::vector a(N); for (int i= 0; i < N; i++){ a[i] = A[i]; } std::vector b(M); for (int i = 0; i < M; i++){ b[i] = B[i]; } std::vector C = atcoder::convolution_ll(a, b); for (int i = 0; i < N + M - 2; i++){ C[i + 1] += C[i] / BASE; C[i] %= BASE; } if (C[N + M - 2] >= BASE){ C.resize(N + M); C[N + M - 1] += C[N + M - 2] / BASE; C[N + M - 2] %= BASE; } positive_bigint ans; ans.d.resize(C.size()); for (int i = 0; i < C.size(); i++){ ans[i] = C[i]; } return ans; } positive_bigint operator *=(positive_bigint &A, const positive_bigint &B){ A = A * B; return A; } struct bigint{ bool neg = false; positive_bigint a; bigint(){ } bigint(long long X): neg(X < 0), a(abs(X)){ } bigint(const positive_bigint &X, bool neg = false): neg(neg), a(X){ } bigint(const std::string &s){ if (!s.empty()){ if (s[0] == '-'){ neg = true; a = positive_bigint(s.substr(1, s.size() - 1)); } else { a = positive_bigint(s); } } } bool empty() const { return a.empty(); } int size() const { return a.size(); } int& operator [](int i){ return a[i]; } }; std::string to_string(const bigint &A){ std::string ans; if (A.neg){ ans += '-'; } ans += to_string(A.a); return ans; } std::istream& operator >>(std::istream &is, bigint &A){ std::string S; is >> S; if (S != "0"){ A = bigint(S); } return is; } std::ostream& operator <<(std::ostream &os, bigint A){ os << to_string(A); return os; } positive_bigint abs(const bigint &A){ return A.a; } int cmp(const bigint &A, const bigint &B){ if (!A.neg){ if (!B.neg){ return cmp(A.a, B.a); } else { return 1; } } else { if (!B.neg){ return -1; } else { return cmp(B.a, A.a); } } } bool operator ==(const bigint &A, const bigint &B){ return cmp(A, B) == 0; } bool operator !=(const bigint &A, const bigint &B){ return cmp(A, B) != 0; } bool operator <(const bigint &A, const bigint &B){ return cmp(A, B) < 0; } bool operator >(const bigint &A, const bigint &B){ return cmp(A, B) > 0; } bool operator <=(const bigint &A, const bigint &B){ return cmp(A, B) <= 0; } bool operator >=(const bigint &A, const bigint &B){ return cmp(A, B) >= 0; } bigint operator +(const bigint &A){ return A; } bigint operator -(const bigint &A){ bigint A2 = A; if (!A2.empty()){ A2.neg = !A2.neg; } return A2; } bigint& operator +=(bigint &A, const bigint &B){ if (A.neg == B.neg){ A.a += B.a; } else { int c = cmp(A.a, B.a); if (c > 0){ A.a -= B.a; } else if (c < 0){ A.a = B.a - A.a; A.neg = !A.neg; } else { A = 0; } } return A; } bigint operator +(const bigint &A, const bigint &B){ bigint A2 = A; A2 += B; return A2; } bigint& operator -=(bigint &A, const bigint &B){ if (A.neg != B.neg){ A.a += B.a; } else { int c = cmp(A.a, B.a); if (c > 0){ A.a -= B.a; } else if (c < 0){ A.a = B.a - A.a; A.neg = !A.neg; } else { A = 0; } } return A; } bigint operator -(const bigint &A, const bigint &B){ bigint A2 = A; A2 -= B; return A2; } bigint operator *=(bigint &A, const bigint &B){ if (A.empty() || B.empty()){ A = 0; } else { if (B.neg){ A.neg = !A.neg; } A.a *= B.a; } return A; } bigint operator *(const bigint &A, const bigint &B){ bigint A2 = A; A2 *= B; return A2; } using namespace std; using stc = stack; using sti = stack; using pbb = pair; struct node { char op; bigint a; int sz = 0; int l, r; node(const string &s) { a = bigint(s); l = r = -1; } node(char c) { op = c; } }; using vn = vector; void proc(stc &so, sti &sn, vn &nodes) { char op = so.top(); so.pop(); cerr << op << endl; if (op == '-') { op = '+'; so.push('n'); proc(so, sn, nodes); } int b = sn.top(); sn.pop(); int a; if (op == 'n') { nodes.emplace_back("-1"); a = nodes.size() - 1; op = '*'; } else { a = sn.top(); sn.pop(); } nodes.emplace_back(op); nodes.back().l = a; nodes.back().r = b; sn.push(nodes.size() - 1); } void dfs1(vn &nodes, int u) { if (nodes[u].l == -1) { nodes[u].sz = nodes[u].a.size(); return; } dfs1(nodes, nodes[u].l); dfs1(nodes, nodes[u].r); if (nodes[nodes[u].l].sz < nodes[nodes[u].r].sz) { swap(nodes[u].l, nodes[u].r); } nodes[u].sz = nodes[nodes[u].l].sz + nodes[nodes[u].r].sz; } pbb dc(const vn &ops, int l, int r) { if (r - l == 1) { if (ops[l].op == '*') { return {ops[l].a, bigint(0)}; } else { return {bigint(1), ops[l].a}; } } int mid = (l + r) / 2; pbb a = dc(ops, l, mid), b = dc(ops, mid, r); return {a.first * b.first, a.first * b.second + a.second}; } void calc(vn &nodes, int u) { if (nodes[u].l == -1) { return; } vn ops; int v = u; for (; nodes[v].l != -1; v = nodes[v].l) { ops.push_back(nodes[v]); swap(ops.back().a, nodes[nodes[v].r].a); } pbb t = dc(ops, 0, ops.size()); nodes[u].a = t.first * nodes[v].a + t.second; } void dfs2(vn &nodes, int u) { if (nodes[u].l == -1) { return; } dfs2(nodes, nodes[u].r); calc(nodes, nodes[u].r); dfs2(nodes, nodes[u].l); } int main() { int n; cin >> n; string s; for (int i = 0; i < n; i++) { char c; cin >> c; if (c == '-' && (s.length() == 0 || (!isdigit(s.back()) && s.back() != ')'))) { c = 'n'; } s += c; } stc so; sti sn; vn nodes; string cur; for (char c : s) { if (isdigit(c)) { cur += c; } else { if (cur != "") { nodes.emplace_back(cur); sn.push(nodes.size() - 1); cur = ""; } if (c == '(') { so.push(c); } else if (c == ')') { while (!so.empty() && so.top() != '(') { proc(so, sn, nodes); } so.pop(); } else if (c == '*') { while (!so.empty() && (so.top() == '*' || so.top() == 'n')) { proc(so, sn, nodes); } so.push(c); } else if (c == 'n') { so.push(c); } else { while (!so.empty() && so.top() != '(') { proc(so, sn, nodes); } so.push(c); } } } if (cur != "") { nodes.emplace_back(cur); sn.push(nodes.size() - 1); cur = ""; } while (!so.empty()) { proc(so, sn, nodes); } dfs1(nodes, nodes.size() - 1); dfs2(nodes, nodes.size() - 1); calc(nodes, nodes.size() - 1); cout << nodes.back().a << endl; return 0; }