import java.io.IOException; import java.io.InputStream; import java.io.OutputStream; import java.io.PrintStream; import java.io.PrintWriter; import java.lang.reflect.Array; import java.math.BigInteger; import java.util.ArrayList; import java.util.Arrays; import java.util.Collection; import java.util.Collections; import java.util.Comparator; import java.util.HashMap; import java.util.List; import java.util.Map.Entry; import java.util.Map; import java.util.NoSuchElementException; import java.util.PrimitiveIterator.OfInt; import java.util.PrimitiveIterator; import java.util.PriorityQueue; import java.util.Random; import java.util.Set; import java.util.Stack; import java.util.TreeMap; import java.util.Vector; import java.util.function.DoubleUnaryOperator; import java.util.function.IntFunction; import java.util.function.IntToDoubleFunction; import java.util.function.IntToLongFunction; import java.util.function.IntUnaryOperator; import java.util.function.LongToDoubleFunction; import java.util.function.Predicate; import java.util.function.ToIntFunction; import java.util.random.RandomGenerator; import java.util.stream.IntStream; import java.util.stream.LongStream; import java.util.stream.Stream; class BitVector { final int lg = 5; } /** * * * lenがa.lengthに比べて小さくなっても配列を取り直さない。 * * @param */ class IntDeque implements Iterable { @SuppressWarnings("unchecked") int[] a = new int[16]; int head = 0; int tail = 0; int len = 0; // [head, tail)に値を持つ。 public IntDeque() { } public int peekLast() { return a[(tail - 1) & (a.length - 1)]; } public void addLast(int v) { if (len == a.length) { resize(2 * len); } a[tail] = v; tail = (tail + 1) & (a.length - 1); ++len; } public int pollLast() { if (len == 0) { throw new NoSuchElementException(); } int ret = a[(tail - 1) & (a.length - 1)]; tail = (tail - 1) & (a.length - 1); len--; return ret; } public int get(int id) { if ((id < 0) || (id >= len)) { throw new IndexOutOfBoundsException(); } return a[(head + id) & (a.length - 1)]; } void resize(int size) { @SuppressWarnings("unchecked") int[] na = new int[size]; for (int i = 0; i < len; i++) { na[i] = a[(head + i) & (a.length - 1)]; } head = 0; tail = len; a = na; } public int size() { return len; } @Override public PrimitiveIterator.OfInt iterator() { return new PrimitiveIterator.OfInt() { int idx = 0; @Override public boolean hasNext() { return idx < len; } @Override public int nextInt() { if (!hasNext()) { throw new NoSuchElementException(); } return get(idx++); } }; } } class FastScanner { private static FastScanner instance = null; private final InputStream in = System.in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private FastScanner() { } public static FastScanner getInstance() { if (instance == null) { instance = new FastScanner(); } return instance; } private boolean hasNextByte() { if (ptr < buflen) { return true; } ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } return buflen > 0; } private int readByte() { if (hasNextByte()) { return buffer[ptr++]; } else { return -1; } } private boolean isPrintableChar(int c) { return (33 <= c) && (c <= 126); } public boolean hasNext() { while (hasNextByte() && (!isPrintableChar(buffer[ptr]))) { ptr++; } return hasNextByte(); } public long nextLong() { if (!hasNext()) { throw new NoSuchElementException(); } long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } while ((b >= '0') && (b <= '9')) { // n = n * 10 + (b - '0'); n = ((n << 1) + (n << 3)) + (b - '0'); b = readByte(); } return minus ? -n : n; } public int nextInt() { return ((int) (nextLong())); } } class PolynomialFp { public static final long mod = 998244353; } /** * Fp[X1,X2,..]/(1-X1^1, 1-X2^2, ..) */ class InvolutivePolynomialFp { static final long mod = 998244353; } class ArrayUtils { public static void swap(long[] A, long[] B) { if (A.length != B.length) { throw new AssertionError(); } for (int i = 0; i < A.length; i++) { long tmp = A[i]; A[i] = B[i]; B[i] = tmp; } } } class MyPrintWriter extends PrintWriter { private static MyPrintWriter instance = null; private MyPrintWriter() { super(System.out); } public static MyPrintWriter getInstance() { if (instance == null) { instance = new MyPrintWriter(); } return instance; } public void println(boolean[][] a) { for (int i = 0; i < a.length; i++) { println(a[i], " "); } } public void println(boolean[] a, String separator) { for (int i = 0; i < a.length; ++i) { super.print((a[i] ? 1 : 0) + (i == (a.length - 1) ? "\n" : separator)); } } } class MathUtils { public static long pow(long a, long n) { if (n == 0) { return 1; } return MathUtils.pow(a * a, n / 2) * ((n % 2) == 1 ? a : 1); } /** * 拡張ユークリッドの互除法で逆元を求める。 * * @param a * @param mod * @return */ public static long modInv(long a, long mod) { a = ((a % mod) + mod) % mod; long[] f0 = new long[]{ 1, 0, mod }; long[] f1 = new long[]{ 0, 1, a }; while (f1[2] != 0) { long q = f0[2] / f1[2]; for (int i = 0; i < 3; i++) { f0[i] -= q * f1[i]; } ArrayUtils.swap(f0, f1); } return f0[1] < 0 ? mod + f0[1] : f0[1]; } public static Map factor(long n) { Map ret = new TreeMap<>(); for (long i = 2; ((1L * i) * i) <= n; ++i) { int e = 0; while ((n % i) == 0) { n /= i; ++e; } if (e != 0) { ret.put(i, e); } } if (n != 1) { ret.put(n, 1); } return ret; } } public class Main implements Runnable { public static void main(String[] args) throws IOException { Thread.setDefaultUncaughtExceptionHandler((t, e) -> System.exit(1)); // new Main().gen(); // Runtime runtime = Runtime.getRuntime(); // new Thread(null, new Main(), "MainThreadWithLargeStack", (1024 * 1024) * 1024).start(); // new Main().test(); // new Main().gen(); new Main().run(); // new Main().solve(); // long usedMemory = runtime.totalMemory() - runtime.freeMemory(); // System.err.printf("使用メモリ: %.2f MB%n", usedMemory / 1024.0 / 1024.0); MyPrintWriter.getInstance().flush(); } @Override public void run() { FastScanner sc = FastScanner.getInstance(); MyPrintWriter pw = MyPrintWriter.getInstance(); int Q = sc.nextInt(); IntDeque m = new IntDeque(); IntDeque r = new IntDeque(); Map> emap = new HashMap<>(); Map> rmap = new HashMap<>(); int ng = 0; for (int q = 0; q < Q; q++) { int type = sc.nextInt(); if (type == 1) { if (ng > 0) { ng++; } int M = sc.nextInt(); int R = sc.nextInt(); int coprimeM = M; var factor = MathUtils.factor(M); long res = 0; long fac = 1; for (int i = 0; i < m.size(); i++) { res = (res + (fac * r.get(i))) % M; fac = (fac * m.get(i)) % M; } long g = 1; int coprimeFac = ((int) (fac)); out : for (var es : factor.entrySet()) { int p = es.getKey().intValue(); int e = es.getValue().intValue(); int pe = ((int) (MathUtils.pow(p, e))); if (emap.containsKey(es.getKey().intValue())) { int e2 = emap.get(es.getKey().intValue()).peek(); int r2 = rmap.get(es.getKey().intValue()).peek(); int pe2 = ((int) (MathUtils.pow(p, e2))); if ((R % Math.min(pe, pe2)) != (r2 % Math.min(pe, pe2))) { if (ng == 0) { ng = 1; } } if (e2 >= e) { coprimeM /= pe; continue out; } g *= pe2; } else { emap.put(es.getKey().intValue(), new Stack()); rmap.put(es.getKey().intValue(), new Stack()); } emap.get(es.getKey().intValue()).add(e); rmap.get(es.getKey().intValue()).add(R % pe); } coprimeFac %= coprimeM; long x = (((1L * (R - res)) / g) * MathUtils.modInv(coprimeFac / g, coprimeM / g)) % (coprimeM / g); coprimeM /= g; if (x < 0) { x += coprimeM; } m.addLast(coprimeM); r.addLast(((int) (x))); // res+fac*x==R mod M // fac*x=R-res mod M } else if (type == 2) { int k = sc.nextInt(); for (int i = 0; i < k; i++) { ng = Math.max(ng - 1, 0); var factor = MathUtils.factor(m.peekLast()); for (var es : factor.entrySet()) { var eque = emap.get(es.getKey().intValue()); var rque = rmap.get(es.getKey().intValue()); eque.pop(); rque.pop(); if (eque.isEmpty()) { emap.remove(es.getKey().intValue()); rmap.remove(es.getKey().intValue()); } } m.pollLast(); r.pollLast(); } } else { long mod = sc.nextInt(); long ans = 0; long fac = 1; for (int i = 0; i < m.size(); i++) { ans += fac * r.get(i); ans %= mod; fac = (fac * m.get(i)) % mod; } ans = ((ans % mod) + mod) % mod; pw.println(ng == 0 ? ans : -1); } } } }