package contest210611; import java.io.*; import java.util.ArrayDeque; import java.util.Arrays; import java.util.InputMismatchException; import java.util.Queue; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class F { InputStream is; FastWriter out; String INPUT = ""; public void solve() { int n = ni(); int[] a = na(n); SegmentTreeRUpdateRSQ[] ss = new SegmentTreeRUpdateRSQ[5]; for(int i = 0;i < 5;i++){ ss[i] = new SegmentTreeRUpdateRSQ(n); } final int mod = 998244353; for(int i = 0;i < n;i++){ long v = 1; for(int j = 0;j < 5;j++){ ss[j].update(i, i+1, v); v = v * a[i] % mod; } } long[][] C = new long[5 + 1][5 + 1]; for (int i = 0; i <= 5; i++) { C[i][0] = 1; for (int j = 1; j <= i; j++) { C[i][j] = C[i - 1][j - 1] + C[i - 1][j]; } } for(int Q = ni();Q > 0;Q--){ int t = ni(); if(t == 0){ int u = ni()-1, v = ni()-1, w = ni()-1, B = ni(); if(u <= w && w <= v || w <= v && v < u || v < u && u <= w){ }else{ int d = u; u = v; v = d; } long vv = 1; for(int k = 0;k < 5;k++){ if(u < v) { ss[k].update(u, v+1, vv); }else{ ss[k].update(u, n, vv); ss[k].update(0, v+1, vv); } vv = vv * B % mod; } }else{ int u = ni()-1, v = ni()-1, w = ni()-1; if(u <= w && w <= v || w <= v && v < u || v < u && u <= w){ }else{ int d = u; u = v; v = d; } if(u < v) { long L = v - u + 1; long il = invl(L, mod); long M = ss[1].sum(u, v+1) % mod * il % mod; long ans = 0; for(int k = 0;k <= t;k++){ ans = ans * -M + (ss[k].sum(u, v+1)) % mod * C[t][k]; ans %= mod; } if(ans < 0)ans += mod; ans = ans * il % mod; out.println(ans); }else{ long L = n-(u-v)+1; long il = invl(L, mod); long M = (ss[1].sum(0, v+1) + ss[1].sum(u, n)) % mod * il % mod; long ans = 0; for(int k = 0;k <= t;k++){ ans = ans * -M + (ss[k].sum(0, v+1) + ss[k].sum(u, n)) % mod * C[t][k]; ans %= mod; } if(ans < 0)ans += mod; ans = ans * il % mod; out.println(ans); } } } } public static long invl(long a, long mod) { long b = mod; long p = 1, q = 0; while (b > 0) { long c = a / b; long d; d = a; a = b; b = d % b; d = p; p = q; q = d - c * q; } return p < 0 ? p + mod : p; } public static class SegmentTreeRUpdateRSQ { public int M, H, N, LH; public long[] sums; public long[] cover; private final long I = Long.MAX_VALUE; public SegmentTreeRUpdateRSQ(int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; LH = Integer.numberOfTrailingZeros(H); cover = new long[H]; Arrays.fill(cover, I); sums = new long[M]; Arrays.fill(sums, 0); for(int i = H-1;i >= 1;i--)propagate(i); } public SegmentTreeRUpdateRSQ(long[] a) { this(a.length); for(int i = 0;i < N;i++){ sums[H+i] = a[i]; } for(int i = H-1;i >= 1;i--){ propagate(i); } } private void push1(int cur) { if(cover[cur] == I)return; int len = H/Integer.highestOneBit(cur); int L = cur*2, R = L + 1; sums[L] = sums[R] = cover[cur] * (len/2); if(L < H){ cover[L] = cover[R] = cover[cur]; } cover[cur] = I; } private void propagate(int i) { sums[i] = sums[2*i] + sums[2*i+1]; } private void update1(int cur, long v) { int len = H/Integer.highestOneBit(cur); sums[cur] = v*len; if(cur < H){ cover[cur] = v; } } private void push(int l, int r) { for(int i = LH;i >= 1;i--) { if (l >>> i << i != l) push1(l >>> i); if (r >>> i << i != r) push1(r >>> i); } } public void update(int l, int r, long v) { if(l >= r)return; l += H; r += H; push(l, r); for(int ll = l, rr = r;ll < rr;ll>>>=1,rr>>>=1){ if((ll&1) == 1) update1(ll++, v); if((rr&1) == 1) update1(--rr, v); } for(int i = 1;i <= LH;i++){ if(l>>>i<>>i); if(r>>>i<>>i); } } public long sum(int l, int r) { if(l >= r)return 0; l += H; r += H; push(l, r); long ret = 0; for(int ll = l, rr = r;ll < rr;ll>>>=1,rr>>>=1){ if((ll&1) == 1)ret += sums[ll++]; if((rr&1) == 1)ret += sums[--rr]; } return ret; } // 以下はCF684D1Cで使った、単調な情報をrootからにぶたんするやつ // sumsは狭義単調増加、もとの配列は広義単調減少、ls, rsは部分木の左端右端を表す public int reach(long v) { int cur = 1; push1(cur); if(v >= sums[cur])return -1; while(cur < H){ push1(2*cur); if(sums[2*cur] > v){ cur = 2*cur; }else{ v -= sums[2*cur]; cur = 2*cur+1; push1(cur); } } return cur - H; } // public int lastge(long v) // { // int cur = 1; // push1(cur); // if(v > ls[cur])return -1; // // while(cur < H){ // push1(2*cur+1); // if(ls[2*cur+1] >= v){ // cur = 2*cur+1; // }else{ // cur = 2*cur; // push1(cur); // } // } // return cur - H; // } // // public int firstle(long v) // { // int cur = 1; // push1(cur); // if(v < rs[cur])return -1; // // while(cur < H){ // push1(2*cur); // if(rs[2*cur] <= v){ // cur = 2*cur; // }else{ // cur = 2*cur+1; // push1(cur); // } // } // return cur - H; // } private String tos(long[] a, int ind){ return ind < a.length ? "" + a[ind] : "_";} private static String j(Object... o){ return Arrays.deepToString(o);} public String nodeToString(int cur) { return j(cur, sums[cur], tos(cover, cur)); } public String toString() { return toString(1, ""); } private String toString(int cur, String indent) { return cur >= M ? "" : toString(2*cur, indent + " ") + indent + nodeToString(cur) + "\n" + toString(2*cur+1, indent + " "); } } public static void main(String[] args) { new F().run(); } public void run() { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new FastWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } private boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private final byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } // private boolean isSpaceChar(int c) { return !(c >= 32 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } public static class FastWriter { private static final int BUF_SIZE = 1<<13; private final byte[] buf = new byte[BUF_SIZE]; private final OutputStream out; private int ptr = 0; private FastWriter(){out = null;} public FastWriter(OutputStream os) { this.out = os; } public FastWriter(String path) { try { this.out = new FileOutputStream(path); } catch (FileNotFoundException e) { throw new RuntimeException("FastWriter"); } } public FastWriter write(byte b) { buf[ptr++] = b; if(ptr == BUF_SIZE)innerflush(); return this; } public FastWriter write(char c) { return write((byte)c); } public FastWriter write(char[] s) { for(char c : s){ buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); } return this; } public FastWriter write(String s) { s.chars().forEach(c -> { buf[ptr++] = (byte)c; if(ptr == BUF_SIZE)innerflush(); }); return this; } private static int countDigits(int l) { if (l >= 1000000000) return 10; if (l >= 100000000) return 9; if (l >= 10000000) return 8; if (l >= 1000000) return 7; if (l >= 100000) return 6; if (l >= 10000) return 5; if (l >= 1000) return 4; if (l >= 100) return 3; if (l >= 10) return 2; return 1; } public FastWriter write(int x) { if(x == Integer.MIN_VALUE){ return write((long)x); } if(ptr + 12 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } private static int countDigits(long l) { if (l >= 1000000000000000000L) return 19; if (l >= 100000000000000000L) return 18; if (l >= 10000000000000000L) return 17; if (l >= 1000000000000000L) return 16; if (l >= 100000000000000L) return 15; if (l >= 10000000000000L) return 14; if (l >= 1000000000000L) return 13; if (l >= 100000000000L) return 12; if (l >= 10000000000L) return 11; if (l >= 1000000000L) return 10; if (l >= 100000000L) return 9; if (l >= 10000000L) return 8; if (l >= 1000000L) return 7; if (l >= 100000L) return 6; if (l >= 10000L) return 5; if (l >= 1000L) return 4; if (l >= 100L) return 3; if (l >= 10L) return 2; return 1; } public FastWriter write(long x) { if(x == Long.MIN_VALUE){ return write("" + x); } if(ptr + 21 >= BUF_SIZE)innerflush(); if(x < 0){ write((byte)'-'); x = -x; } int d = countDigits(x); for(int i = ptr + d - 1;i >= ptr;i--){ buf[i] = (byte)('0'+x%10); x /= 10; } ptr += d; return this; } public FastWriter write(double x, int precision) { if(x < 0){ write('-'); x = -x; } x += Math.pow(10, -precision)/2; // if(x < 0){ x = 0; } write((long)x).write("."); x -= (long)x; for(int i = 0;i < precision;i++){ x *= 10; write((char)('0'+(int)x)); x -= (int)x; } return this; } public FastWriter writeln(char c){ return write(c).writeln(); } public FastWriter writeln(int x){ return write(x).writeln(); } public FastWriter writeln(long x){ return write(x).writeln(); } public FastWriter writeln(double x, int precision){ return write(x, precision).writeln(); } public FastWriter write(int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(x); } return this; } public FastWriter write(IntUnaryOperator f, int... xs) { boolean first = true; for(int x : xs) { if (!first) write(' '); first = false; write(f.applyAsInt(x)); } return this; } public FastWriter write(LongUnaryOperator f, long... xs) { boolean first = true; for(long x : xs) { if (!first) write(' '); first = false; write(f.applyAsLong(x)); } return this; } public FastWriter writeln() { return write((byte)'\n'); } public FastWriter writeln(int... xs) { return write(xs).writeln(); } public FastWriter writeln(long... xs) { return write(xs).writeln(); } public FastWriter writeln(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); } public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, xs).writeln(); } public FastWriter writeln(char[] line) { return write(line).writeln(); } public FastWriter writeln(char[]... map) { for(char[] line : map)write(line).writeln();return this; } public FastWriter writeln(String s) { return write(s).writeln(); } private void innerflush() { try { out.write(buf, 0, ptr); ptr = 0; } catch (IOException e) { throw new RuntimeException("innerflush"); } } public void flush() { innerflush(); try { out.flush(); } catch (IOException e) { throw new RuntimeException("flush"); } } public FastWriter print(byte b) { return write(b); } public FastWriter print(char c) { return write(c); } public FastWriter print(char[] s) { return write(s); } public FastWriter print(String s) { return write(s); } public FastWriter print(int x) { return write(x); } public FastWriter print(long x) { return write(x); } public FastWriter print(double x, int precision) { return write(x, precision); } public FastWriter println(char c){ return writeln(c); } public FastWriter println(int x){ return writeln(x); } public FastWriter println(long x){ return writeln(x); } public FastWriter println(double x, int precision){ return writeln(x, precision); } public FastWriter print(int... xs) { return write(xs); } public FastWriter print(long... xs) { return write(xs); } public FastWriter print(IntUnaryOperator f, int... xs) { return write(f, xs); } public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); } public FastWriter println(int... xs) { return writeln(xs); } public FastWriter println(long... xs) { return writeln(xs); } public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); } public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, xs); } public FastWriter println(char[] line) { return writeln(line); } public FastWriter println(char[]... map) { return writeln(map); } public FastWriter println(String s) { return writeln(s); } public FastWriter println() { return writeln(); } } public static void trnz(int... o) { for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" "); System.out.println(); } // print ids which are 1 public static void trt(long... o) { Queue stands = new ArrayDeque<>(); for(int i = 0;i < o.length;i++){ for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x)); } System.out.println(stands); } public static void tf(boolean... r) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } public static void tf(boolean[]... b) { for(boolean[] r : b) { for(boolean x : r)System.out.print(x?'#':'.'); System.out.println(); } System.out.println(); } public void tf(long[]... b) { if(INPUT.length() != 0) { for (long[] r : b) { for (long x : r) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } System.out.println(); } } public void tf(long... b) { if(INPUT.length() != 0) { for (long x : b) { for (int i = 0; i < 64; i++) { System.out.print(x << ~i < 0 ? '#' : '.'); } } System.out.println(); } } private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }