/* -*- coding: utf-8 -*- * * 1778.cc: No.1778 括弧列クエリ / Bracketed Sequence Query - yukicoder */ #include #include using namespace std; /* constant */ const int MAX_N = 200000; const int MAX_M = MAX_N / 2 + 1; const int BN = 17; /* typedef */ /* global variables */ char s[MAX_N + 4]; int svs[MAX_N]; int ls[MAX_M], rs[MAX_M], ps[MAX_M][BN], ds[MAX_M], cis[MAX_M]; /* subroutines */ int find_lca(int u, int v) { if (ds[u] > ds[v]) swap(u, v); for (int i = BN - 1; i >= 0; i--) if (((ds[v] - ds[u]) >> i) & 1) v = ps[v][i]; if (u == v) return u; for(int i = BN - 1; i >= 0; i--) if (ps[u][i] != ps[v][i]) u = ps[u][i], v = ps[v][i]; return ps[u][0]; } /* main */ int main() { int n, qn; scanf("%d%d%s", &n, &qn, s); ls[0] = rs[0] = -1; ps[0][0] = -1, ds[0] = 0; int m = 1; for (int u = 0, i = 0; i < n && u >= 0; i++) { if (s[i] == '(') { int v = m++; ps[v][0] = u; ds[v] = ds[u] + 1; ls[v] = i; svs[i] = v; u = v; } else { rs[u] = i; svs[i] = u; u = ps[u][0]; } } //for (int u = 0; u < m; u++) //printf("%d: (%d,%d), p=%d\n", u, ls[u], rs[u], ps[u][0]); //for (int i = 0; i < n; i++) printf("%d ", svs[i]); putchar('\n'); for (int k = 0; k < BN - 1; k++) for (int u = 0; u < m; u++) ps[u][k + 1] = (ps[u][k] >= 0) ? ps[ps[u][k]][k] : -1; while (qn--) { int xi, yi; scanf("%d%d", &xi, &yi); xi--, yi--; int u = svs[xi], v = svs[yi]; int w = find_lca(u, v); if (w == 0) puts("-1"); else printf("%d %d\n", ls[w] + 1, rs[w] + 1); } return 0; }