#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include<bits/stdc++.h> #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p){ os << p.first << " " << p.second; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p){ is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v){ for (auto &x : v) is >> x; return is; } void in() {} template <typename T, class... U> void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template <typename T, class... U, char sep = ' '> void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template<typename T> void out(const vector<vector<T>> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector<int> dx = {0,1,0,-1,1,1,-1,-1}; const vector<int> dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template<typename T> T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0); } template<typename T> T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0); } template<typename T> void uniq(std::vector<T> &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair<int,int>; using pll = pair<ll,ll>; using pil = pair<int,ll>; using pli = pair<ll,int>; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/segment_tree.hpp" namespace noya2{ template <class S, S (*op)(S, S), S (*e)()> struct segtree { public: segtree() : segtree(0) {} segtree(int n) : segtree(std::vector<S>(n, e())) {} segtree(const std::vector<S>& v) : _n(int(v.size())) { log = 0; size = 1; while (size < _n) size <<= 1, log++; d = std::vector<S>(2 * size, e()); 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; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += size; r += size; 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]; } template <bool (*f)(S)> int max_right(int l) { return max_right(l, [](S x) { return f(x); }); } template <class F> int max_right(int l, F f) { assert(0 <= l && l <= _n); assert(f(e())); if (l == _n) return _n; l += size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(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 <bool (*f)(S)> int min_left(int r) { return min_left(r, [](S x) { return f(x); }); } template <class F> int min_left(int r, F f) { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(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; std::vector<S> d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace noya2 #line 4 "c.cpp" int op(int a, int b){ return max(a,b); } int e(){ return 0; } int naive(int n, vector<int> a, string s){ assert(ssize(a) == n+1); assert(a[0] == n-1 && a[n] == n-1); vector<int> dp(n+1,0); repp(i,1,n){ if (s[a[i]] == 'W') continue; int wma = 0, bma = -1; reb(j,i){ if (s[a[j]] == 'W'){ chmax(wma,a[j]); continue; } if (max(a[j],a[i]) < wma && max(a[i],a[j]) > bma){ chmax(dp[i],dp[j]); } chmax(bma,a[j]); } dp[i]++; } // out(dp); // out(ranges::max(dp)); cout << flush; return ranges::max(dp); } int calc(int n, vector<int> a, string s){ assert(ssize(a) == n+1); assert(a[0] == n-1 && a[n] == n-1); vector<int> lsb(n+1,0), rsb(n+1,n); vector<int> lsw(n+1,0), rsw(n+1,n); { vector<int> stb, stw; vector<int> idsb, idsw; rep(i,n+1){ auto &st = (s[a[i]] == 'W' ? stw : stb); auto &ids = (s[a[i]] == 'W' ? idsw : idsb); while (!st.empty() && st.back() >= -a[i]){ st.pop_back(); ids.pop_back(); } st.push_back(-a[i]); ids.push_back(i); if (s[a[i]] == 'B'){ int posw = lower_bound(all(stw), -a[i]) - stw.begin(); if (posw > 0){ lsw[i] = idsw[posw-1]; } int posb = lower_bound(all(stb), -a[i]) - stb.begin(); if (posb > 0){ lsb[i] = idsb[posb-1]; } } } } { vector<int> stb, stw; vector<int> idsb, idsw; reb(i,n+1){ auto &st = (s[a[i]] == 'W' ? stw : stb); auto &ids = (s[a[i]] == 'W' ? idsw : idsb); while (!st.empty() && st.back() >= -a[i]){ st.pop_back(); ids.pop_back(); } st.push_back(-a[i]); ids.push_back(i); if (s[a[i]] == 'B'){ int posw = lower_bound(all(stw), -a[i]) - stw.begin(); if (posw > 0){ rsw[i] = idsw[posw-1]; } int posb = lower_bound(all(stb), -a[i]) - stb.begin(); if (posb > 0){ rsb[i] = idsb[posb-1]; } } } } segtree<int,op,e> segand(n+1), segor(n+1); vector<int> dp(n+1,0); vector<vector<int>> updand(n+2), updor(n+2); repp(i,1,n+1){ for (int j : updand[i]){ if (j >= 0){ segand.set(j,dp[j]); } else { segand.set(~j,e()); } } for (int j : updor[i]){ assert(j >= 0); segor.set(j,dp[j]); } if (s[a[i]] == 'B'){ if (lsb[i] < lsw[i]){ chmax(dp[i],segor.prod(lsb[i],lsw[i])); } chmax(dp[i],segand.prod(0,lsw[i])); dp[i]++; updor[rsw[i]+1].emplace_back(i); if (rsw[i]+1 < rsb[i]+1){ updand[rsw[i]+1].emplace_back(i); updand[rsb[i]+1].emplace_back(~i); } } } // out(lsw); out(lsb); // out(rsw); out(rsb); // out(dp); cout << flush; return ranges::max(dp); } void solve(){ int n; in(n); vector<int> p(n); in(p); rep(i,n) --p[i]; string s; in(s); if (s == string(n,'W')){ out(0); return ; } if (s[n-1] == 'W'){ out(-1); return ; } int mapos = [&]{ rep(i,n){ if (p[i] == n-1){ return i; } } abort(); }(); vector<int> a; a.reserve(n+1); rep(i,n+1){ a.emplace_back(p[(mapos+i)%n]); } int ans = calc(n,a,s); // assert(naive(n,a,s) == ans); out(ans); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }