#include #include using namespace std; using namespace atcoder; //using mint = modint998244353; using mint = modint1000000007; using ll = long long; using ld = long double; using pll = pair; using tlll = tuple; constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll safemod(ll A, ll M) {return (A % M + M) % M;} ll divfloor(ll A, ll B) {if (B < 0) {return divfloor(-A, -B);} return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) {return divceil(-A, -B);} return divfloor(A + B - 1, B);} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) class lca { public: ll N, K; vector> par; vector dist; vector v_dfs; vector i_dfs; void dfs(vector> &G, ll v, ll pv) { par.at(0).at(v) = pv; dist.at(v) = (pv == -1 ? 0 : dist.at(pv) + 1); v_dfs.push_back(v); for (auto nv : G.at(v)) { if (nv != pv) dfs(G, nv, v); } } lca(vector> &G, ll root) { N = G.size(); K = 1; ll tmp = 1; while (tmp < N) { tmp *= 2; K++; } par = vector>(K, vector(N, -1)); dist = vector(N, -1); dfs(G, root, -1); for (ll k = 0; k < K - 1; k++) { for (ll v = 0; v < N; v++) { if (par.at(k).at(v) == -1) par.at(k + 1).at(v) = -1; else par.at(k + 1).at(v) = par.at(k).at(par.at(k).at(v)); } } i_dfs.resize(N); for (ll i = 0; i < N; i++) { i_dfs.at(v_dfs.at(i)) = i; } } ll query_ancestor(ll v, ll n) { for (ll k = K - 1; k >= 0; k--) { if (n & (1 << k)) v = par.at(k).at(v); if (v == -1) return -1; } return v; } ll query_lca(ll u, ll v) { if (dist.at(u) < dist.at(v)) swap(u, v); u = query_ancestor(u, dist.at(u) - dist.at(v)); if (u == v) return u; for (ll k = K - 1; k >= 0; k--) { if (par.at(k).at(u) != par.at(k).at(v)) u = par.at(k).at(u), v = par.at(k).at(v); } return par.at(0).at(u); } ll query_dist(ll u, ll v) { return dist.at(u) + dist.at(v) - 2 * dist.at(query_lca(u, v)); } }; int main() { ll N, Q; cin >> N >> Q; string S; cin >> S; vector A; vector st; vector mpA(N); for (ll i = 0; i < N; i++) { if (S.at(i) == '(') st.push_back(i); else { mpA.at(st.back()) = A.size(); mpA.at(i) = A.size(); A.push_back(make_pair(st.back(), i)); st.pop_back(); } } A.push_back(make_pair(-1, -1)); vector> G(N / 2 + 1); vector st2; for (ll i = 0; i < N / 2 + 1; i++) { while (!st2.empty() && A.at(st2.back()).first > A.at(i).first) { G.at(st2.back()).push_back(i); G.at(i).push_back(st2.back()); st2.pop_back(); } st2.push_back(i); } lca lc(G, N / 2); for (ll q = 0; q < Q; q++) { ll x, y; cin >> x >> y; x--, y--; ll v = lc.query_lca(mpA.at(x), mpA.at(y)); auto [ans1, ans2] = A.at(v); if (ans1 == -1) cout << -1 << '\n'; else cout << ans1 + 1 << " " << ans2 + 1 << '\n'; } }