#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include struct S { lint n0 = 0; lint n1 = 0; lint v00 = 0; lint v01 = 0; lint v10 = 0; lint v11 = 0; lint v01e = 0; lint v11e = 0; lint n1e = 0; bool is_empty = false; // template // friend OStream &operator<<(OStream &os, const S &s) { // return os << "S(" << s.n0 << ", " << s.n1 << ", " << s.v00 << ", " << s.v01 << ", " << s.v10 << ", " << s.v11 << ", " << s.n0e << ", " << s.n1e << ", " << (s.is_empty ? "true" : "false") << ")"; // } }; S op(S l, S r) { if (r.is_empty) return l; if (l.is_empty) return r; S res; res.n0 = r.n0 + l.n0 * r.v00 + l.n1 * r.v10; res.n1 = r.n1 + l.n0 * r.v01 + l.n1 * r.v11; res.v00 = l.v00 * r.v00 + l.v01 * r.v10; res.v01 = l.v00 * r.v01 + l.v01 * r.v11; res.v10 = l.v10 * r.v00 + l.v11 * r.v10; res.v11 = l.v10 * r.v01 + l.v11 * r.v11; // res.n0e = l.n0e + r.n0e + l.n0 * r.v00 + l.n1 * r.v10; res.v01e = l.v01e + l.v00 * r.v01e + l.v01 * r.v11e; res.v11e = l.v11e + l.v10 * r.v01e + l.v11 * r.v11e; res.n1e = l.n1e + r.n1e + l.n0 * r.v01e + l.n1 * r.v11e; res.is_empty = false; return res; } S e() { return {0, 0, 1, 0, 0, 1, 0, 0, 0, true}; } S Gen(string c) { if (c == "F") return {1, 0, 0, 0, 0, 0, 0, 0, 0, false}; if (c == "T") return {0, 1, 0, 0, 0, 0, 0, 0, 1, false}; if (c == "+F") return {1, 0, 1, 0, 0, 1, 0, 1, 0, false}; if (c == "+T") return {0, 1, 0, 1, 0, 1, 1, 1, 1, false}; if (c == "*F") return {1, 0, 1, 0, 1, 0, 0, 0, 0, false}; if (c == "*T") return {0, 1, 1, 0, 0, 1, 0, 1, 1, false}; if (c == "^F") return {1, 0, 1, 0, 0, 1, 0, 1, 0, false}; if (c == "^T") return {0, 1, 0, 1, 1, 0, 1, 0, 1, false}; assert(false); } int main() { int N, Q; string X; cin >> N >> Q >> X; vector init; for (int i = 1; i < N; i += 2) { init.push_back(Gen(X.substr(i, 2))); } const atcoder::segtree seg(init); while (Q--) { int L, R; cin >> L >> R; --L; if (L % 2) ++L; if (R % 2 == 0) --R; dbg(make_tuple(L, R)); if (L >= R) { cout << 0 << '\n'; } else { const S a = Gen(X.substr(L, 1)); const S m = seg.prod(L / 2, R / 2); auto o = op(a, m); dbg(make_tuple(L / 2, R / 2)); // dbg(a); // dbg(m); // dbg(o); cout << o.n1e << '\n'; } } }