#include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; 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) {ll res = A % M; if (res < 0) res += M; return res;} ll divfloor(ll A, ll B) {if (B < 0) A = -A, B = -B; return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) A = -A, B = -B; return divfloor(A + B - 1, B);} ll pow_ll(ll A, ll B) {if (A == 0 || A == 1) {return A;} if (A == -1) {return B & 1 ? -1 : 1;} ll res = 1; for (int i = 0; i < B; i++) {res *= A;} return res;} ll mul_limited(ll A, ll B, ll M = INF) { return B == 0 ? 0 : A > M / B ? M : A * B; } ll pow_limited(ll A, ll B, ll M = INF) { if (A == 0 || A == 1) {return A;} ll res = 1; for (int i = 0; i < B; i++) {if (res > M / A) return M; res *= A;} return res;} template void unique(vector &V) {V.erase(unique(V.begin(), V.end()), V.end());} template void sortunique(vector &V) {sort(V.begin(), V.end()); V.erase(unique(V.begin(), V.end()), V.end());} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) template void printvec(const vector &V) {int _n = V.size(); for (int i = 0; i < _n; i++) cout << V[i] << (i == _n - 1 ? "" : " ");cout << '\n';} template void printvect(const vector &V) {for (auto v : V) cout << v << '\n';} template void printvec2(const vector> &V) {for (auto &v : V) printvec(v);} //* #include using namespace atcoder; using mint = modint998244353; //using mint = modint1000000007; //using mint = modint; //*/ struct BracketToTree { bool ok; // 対応が取れているか vector mypair; // 文字の index → 対応している文字の index vector itov; // 文字の index → 頂点の index vector> vtoi; // 頂点の index → 文字の index vector par; // 頂点の index → 親となる頂点の index (根は 0) BracketToTree() {} BracketToTree(const string &s, const char left = '(', const char right = ')') { const int n = s.size(); mypair.resize(n, -1), itov.resize(n, -1), vtoi.resize(n / 2 + 1, make_pair(-1, -1)), par.resize(n / 2 + 1, -1); int v = 0; stack sta; for (int i = 0; i < n; i++) { if (s[i] == left) { sta.push(i); itov[i] = ++v; } else if (s[i] == right) { if (sta.empty()) { ok = false; return; } int j = sta.top(); sta.pop(); int u = itov[j]; itov[i] = u; vtoi[u] = make_pair(j, i); mypair[j] = i, mypair[i] = j; int p = sta.empty() ? 0 : itov[sta.top()]; par[u] = p; } else assert(false); } ok = sta.empty(); } }; template struct Edge { int from, to; Cost cost; Edge(int s, int t, Cost c = 1) : from(s), to(t), cost(c) {} operator int() const { return to; } }; template struct Graph : vector>> { Graph(int n) : vector>>(n) {} void add_edge(int s, int t, Cost c = 1) { (*this)[s].emplace_back(s, t, c); } void add_edge2(int s, int t, Cost c = 1) { add_edge(s, t, c), add_edge(t, s, c); } }; template struct LowestCommonAncestor : Graph { vector> par; vector dep; vector dists; LowestCommonAncestor(int n) : Graph::Graph(n) {} void run(const int root = 0) { par.resize(log2((*this).size()) + 1); for (int i = 0; i < (int)par.size(); i++) par[i].resize((*this).size()); dep.resize((*this).size()), dists.resize((*this).size()); par[0][root] = -1, dep[root] = 0, dists[root] = 0; dfs(root, -1); doubling(); } void dfs(int v, int pv) { //* bfs queue> que; que.emplace(make_pair(v, pv)); while (!que.empty()) { v = que.front().first, pv = que.front().second; que.pop(); for (auto nv : (*this)[v]) { if (nv == pv) continue; par[0][nv] = v; dep[nv] = dep[v] + 1; dists[nv] = dists[v] + nv.cost; que.emplace(make_pair(nv, v)); } } //*/ /* dfs for (auto nv : (*this)[v]) { if (nv == pv) continue; par[0][nv] = v; dep[nv] = dep[v] + 1; dists[nv] = dists[v] + nv.cost; dfs(nv, v); } //*/ } void doubling() { for (int i = 1; i < (int)par.size(); i++) { for (int v = 0; v < (int)(*this).size(); v++) { if (par[i - 1][v] == -1) par[i][v] = -1; else par[i][v] = par[i - 1][par[i - 1][v]]; } } } int query_ancestor(int v, int k) { for (int i = (int)par.size() - 1; i >= 0; i--) { if (k & (1 << i)) v = par[i][v]; if (v == -1) return -1; } return v; } int query_lca(int u, int v) { if (dep[u] < dep[v]) swap(u, v); u = query_ancestor(u, dep[u] - dep[v]); if (u == v) return u; for (int i = (int)par.size() - 1; i >= 0; i--) { if (par[i][u] != par[i][v]) u = par[i][u], v = par[i][v]; } return par[0][u]; } int query_dist1(int u, int v) { return dep[u] + dep[v] - 2 * dep[query_lca(u, v)]; } Cost query_dist(int u, int v) { return dists[u] + dists[v] - 2 * dists[query_lca(u, v)]; } int query_jump(int s, int t, int k) { int u = query_lca(s, t); if (k <= dep[s] - dep[u]) return query_ancestor(s, k); int k2 = dep[s] + dep[t] - 2 * dep[u] - k; return k2 < 0 ? -1 : query_ancestor(t, k2); } }; int main() { ll N, Q; string S; cin >> N >> Q >> S; BracketToTree bt(S); LowestCommonAncestor G(N / 2 + 1); for (ll i = 1; i <= N / 2; i++) { G.add_edge2(i, bt.par.at(i)); } G.run(); while (Q--) { ll x, y; cin >> x >> y; x--, y--; ll u = bt.itov.at(x), v = bt.itov.at(y); ll w = G.query_lca(u, v); if (w == 0) cout << -1 << endl; else { auto [i, j] = bt.vtoi.at(w); cout << i + 1 << " " << j + 1 << endl; } } }