package yukicoder_4516; import java.io.File; import java.io.FileInputStream; import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.util.ArrayDeque; import java.util.BitSet; import java.util.Deque; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) { new Main(); } public Main() { InputChecker ic = new InputChecker(System.in); java.io.PrintWriter out = new java.io.PrintWriter(System.out); solve(ic, out); out.flush(); } public void solve(InputChecker ic, java.io.PrintWriter out) { int N = ic.nextInt(1, exponent10(2, 5)); ic.nextChar(' '); int Q = ic.nextInt(1, exponent10(2, 5)); ic.readNewLine(); final CharSet BRACKET = new CharSet(); BRACKET.add('(', ')'); char[] S = ic.next(BRACKET).toCharArray(); if (S.length != N) throw new AssertionError(); ic.readNewLine(); RangeMaximumQuery rMq = new RangeMaximumQuery(N + 1); int[] left = new int[N / 2 + 1], right = new int[N / 2 + 1]; int[] bracket = new int[N + 1]; { int bracketNum = 0; left[0] = bracketNum; rMq.set(0, new Enumerate(1, 0)); Deque stack = new ArrayDeque<>(); stack.addLast(0); int i = 0; for (char c : S) { ++ i; if (c == '(') { left[++ bracketNum] = i; bracket[i] = bracketNum; stack.addLast(bracketNum); rMq.set(i, new Enumerate(stack.size(), bracketNum)); } else if (c == ')') { int r = stack.pollLast(); right[r] = i; bracket[i] = r; rMq.set(i, new Enumerate(stack.size(), stack.getLast())); } else { throw new AssertionError(); } } stack.pollLast(); if (!stack.isEmpty()) throw new AssertionError(); rMq.build(); } while(Q --> 0) { int x = ic.nextInt(1, N); ic.nextChar(' '); int y = ic.nextInt(1, N); ic.readNewLine(); int l = Math.min(left[bracket[x]], left[bracket[y]]), r = Math.max(left[bracket[x]], left[bracket[y]]); int lca = rMq.get(l, r + 1).index; if (lca == 0) out.println(-1); else out.printf("%d %d\n", left[lca], right[lca]); } ic.checkEOF(); } public static class Enumerate { public final int num, index; public Enumerate(int num, int index) { this.num = num; this.index = index; } } public static class RangeMaximumQuery { private final Enumerate[][] array; public RangeMaximumQuery(int size) { array = new Enumerate[32 - Integer.numberOfLeadingZeros(size - 1)][]; array[0] = new Enumerate[size]; } public void set(int index, Enumerate element) { array[0][index] = element; } private static Enumerate min(Enumerate e1, Enumerate e2) { return e1.num <= e2.num ? e1 : e2; } public void build() { for (int i = 1;i < array.length;++ i) { int len = (1 << i - 1); array[i] = new Enumerate[array[i - 1].length - len]; for (int j = 0;j < array[i].length;++ j) { array[i][j] = min(array[i - 1][j], array[i - 1][j + len]); } } } public Enumerate get(int l, int r) { int len = 31 - Integer.numberOfLeadingZeros(r - l); return min(array[len][l], array[len][r - (1 << len)]); } public Enumerate get(int n) { return array[0][n]; } } public static int exponent10(int n, int e) { return n * pow(10, e); } public static long exponent10L(int n, int e) { return n * pow(10L, e); } public static int pow(int a, int b) { int ans = 1; for (int mul = a;b > 0;b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul; return ans; } public static long pow(long a, long b) { long ans = 1; for (long mul = a;b > 0;b >>= 1, mul *= mul) if ((b & 1) != 0) ans *= mul; return ans; } public static class CharSet { private final BitSet set = new BitSet(256); public void add(char... c) { for (char i : c) set.set(i); } public void add(CharSet... s) { for (CharSet i : s) set.or(i.set); } public boolean contains(char... c) { for (char i : c) if (!set.get(i)) return false; return true; } public boolean contains(String s) { return contains(s.toCharArray()); } private static final class Chars extends CharSet { public Chars(char... c) { super.add(c); } public Chars(CharSet... s) { super.add(s); } @Override public void add(char... c) { throw new UnsupportedOperationException(); } @Override public void add(CharSet... s) { throw new UnsupportedOperationException(); } } public static final CharSet NUMBER = new Chars('0','1','2','3','4','5','6','7','8','9'); public static final CharSet LOWER = new Chars('a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z'); public static final CharSet UPPER = new Chars('A','B','C','D','E','F','G','H','I','J','K','L','M','N','O','P','Q','R','S','T','U','V','W','X','Y','Z'); public static final CharSet ALPHABET = new Chars(LOWER, UPPER); } public static class InputChecker { private InputStream in; private final byte[] buffer = new byte[1024]; private final byte[] undo = new byte[1024]; private int undoSize = 0; private int read = 0; private int length = 0; public InputChecker(InputStream in) { this.in = in; } public final void setInputStream(InputStream in) { this.in = in; } public final void setInputStream(File in) { try { this.in = new FileInputStream(in); } catch (FileNotFoundException e) { e.printStackTrace(); } } private boolean hasNextByte() { if (undoSize > 0) return true; if (read < length) return true; read = 0; try { length = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } return length > 0; } private byte readByte() { if (hasNextByte()) return undoSize > 0 ? undo[--undoSize] : buffer[read++]; throw new NoSuchElementException(); } private void undo(byte b) { undo[undoSize ++] = b; } private void undo(char c) { if ((c & 0xFF80) == 0) { undo((byte)c); return; } undo((byte)(c & 0x3F | 0x80)); if ((c & 0xF800) == 0) { undo((byte)(c >> 6 & 0x1F | 0xC0)); } else { undo((byte)(c >> 6 & 0x3F | 0x80)); undo((byte)(c >> 12 | 0xE0)); } } public final boolean hasNext() { return hasNextByte(); } public final char nextChar() { byte b = readByte(); if ((b & 0x80) == 0) return (char)b; if ((b & 0x20) == 0) return (char)((b & 0x1F) << 6 | (readByte() & 0x3F)); return (char)((b & 0xF) << 12 | (readByte() & 0x3F) << 6 | (readByte() & 0x3F)); } public final char nextChar(char estimate) { char c = nextChar(); if (estimate == c) return estimate; undo(c); throw new AssertionError(); } public final char nextChar(CharSet estimate) { char c = nextChar(); if (estimate.contains(c)) return c; undo(c); throw new AssertionError(); } public final void readNewLine() { char c = nextChar(); if (c == '\r') { c = nextChar(); if (c != '\n') undo(c); return; } else if (c == '\n') return; undo(c); throw new AssertionError(); } public final void checkEOF() { if (hasNextByte()) throw new AssertionError(); } public final String next(CharSet contains) { StringBuilder sb = new StringBuilder(); try { do { char c = nextChar(); if (!contains.contains(c)) { undo(c); return sb.toString(); } sb.append(c); } while(true); } catch (NoSuchElementException e) { if (sb.length() <= 0) throw new AssertionError(); return sb.toString(); } } public final int nextInt() { byte b = readByte(); int n = 0; if (b == '-') { if (!isNumber(b = readByte())) { undo(b); throw new NumberFormatException(); } try { if (b == '0') { if (!isNumber(b = readByte())) { undo(b); return 0; } throw new NumberFormatException(); } do n = Math.addExact(Math.multiplyExact(n, 10), '0' - b); while(isNumber(b = readByte())); undo(b); } catch (NoSuchElementException e) { } return n; } if (!isNumber(b)) { undo(b); throw new NumberFormatException(); } try { if (b == '0') { if (!isNumber(b = readByte())) { undo(b); return 0; } throw new NumberFormatException(); } do n = Math.addExact(Math.multiplyExact(n, 10), b - '0'); while(isNumber(b = readByte())); undo(b); } catch (NoSuchElementException e) { } return n; } public final int nextInt(int min, int max) { int n = nextInt(); if (min <= n && n <= max) return n; throw new NumberFormatException(); } private static boolean isNumber(byte c) { return '0' <= c && c <= '9'; } public final long nextLong() { byte b = readByte(); long n = 0; if (b == '-') { if (!isNumber(b = readByte())) { undo(b); throw new NumberFormatException(); } try { if (b == '0') { if (!isNumber(b = readByte())) { undo(b); return 0; } throw new NumberFormatException(); } do n = Math.addExact(Math.multiplyExact(n, 10), '0' - b); while(isNumber(b = readByte())); undo(b); } catch (NoSuchElementException e) { } return n; } if (!isNumber(b)) { undo(b); throw new NumberFormatException(); } try { if (b == '0') { if (!isNumber(b = readByte())) { undo(b); return 0; } throw new NumberFormatException(); } do n = Math.addExact(Math.multiplyExact(n, 10), b - '0'); while(isNumber(b = readByte())); undo(b); } catch (NoSuchElementException e) { } return n; } public final long nextLong(long min, long max) { long n = nextLong(); if (min <= n && n <= max) return n; throw new NumberFormatException(); } public final double nextDouble() { StringBuilder sb = new StringBuilder(); byte b = readByte(); if (b == '-') { sb.append(b); b = readByte(); } if (b == '0') { sb.append(b); b = readByte(); } else { while(isNumber(b)) { sb.append(b); b = readByte(); } } if (b == '.') { sb.append(b); b = readByte(); while(isNumber(b)) { sb.append(b); b = readByte(); } } if (b == 'e' || b == 'E') { sb.append(b); b = readByte(); if (b == '-' || b == '+') { sb.append(b); b = readByte(); } while(isNumber(b)) { sb.append(b); b = readByte(); } } undo(b); return Double.parseDouble(sb.toString()); } } }