#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } class Lca{ public: vector depth; vector> parent; vector> G; int root; int n; const int N_LOG_MAX = 25; bool initialized = false; Lca(vector> g, int _root){ n = g.size(); G = g; root = _root; parent = vector>(N_LOG_MAX, vector(n)); depth = vector(n, 0); } void init(){ initialized = true; dfs(root, -1, 0); for(int i = 0; i < N_LOG_MAX-1; i++){ for(int v = 0; v < n; v++){ if(parent[i][v] < 0) parent[i+1][v] = -1; else parent[i+1][v] = parent[i][parent[i][v]]; } } } int lca(int u, int v){ assert(initialized); if(depth[u] > depth[v]) swap(u, v); for(int i = 0; i < N_LOG_MAX; i++){ if((depth[v] - depth[u]) >> i & 1){ v = parent[i][v]; } } if(u == v) return u; for(int i = N_LOG_MAX-1; i >= 0; i--){ if(parent[i][u] != parent[i][v]) { u = parent[i][u]; v = parent[i][v]; } } return parent[0][u]; } int dist(int u, int v){ int l = lca(u, v); return depth[u]+depth[v]-2*depth[l]; } private: void dfs(int v, int p, int d){ parent[0][v] = p; depth[v] = d; for(int i = 0; i < G[v].size(); i++){ if(G[v][i] != p) dfs(G[v][i], v, d+1); } } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, q; cin >> n >> q; int m = n/2; string s; cin >> s; vector l(m+1), r(m+1); vector> g(m+1); stack st; st.push(0); int idx = 1; for(int i = 0; i < n; i++){ if(s[i] == '('){ int par = st.top(); st.push(idx); l[idx] = i; g[par].push_back(idx); g[idx].push_back(par); idx++; }else{ r[st.top()] = i; st.pop(); } } assert(st.size() == 1); auto lca = Lca(g, 0); lca.init(); vector l_inv(n, -1); vector r_inv(n, -1); for(int i = 1; i <= m; i++) { l_inv[l[i]] = i; r_inv[r[i]] = i; } while(q--){ int x, y; cin >> x >> y; x--; y--; int lx = max(l_inv[x], r_inv[x]); int ly = max(l_inv[y], r_inv[y]); int la = lca.lca(lx, ly); // cout << lx << ':' << ly << endl; if(la == 0) { cout << -1 << endl; }else{ cout << l[la]+1 << ' ' << r[la]+1 << endl; } } }