You are given two integer sequences $A_1, A_2, \ldots, A_N$ and $B_1, B_2, \ldots, B_M$. For any two sequences $U_1, U_2, \ldots, U_p$ and $V_1, V_2, \ldots, V_q$, we define
Score(U,V)=∑i=1p∑j=1qUi⋅Vj.Score(U,V)=∑i=1p∑j=1qUi⋅Vj.Score(U, V) = \sum_{i=1}^p \sum_{j=1}^q  U_i \cdot V_j \,.
You should process $Q$ queries of three types:
- $1$ $L$ $R$ $X$: Add $X$ to each of the elements $A_L, A_{L+1}, \ldots, A_R$.
- $2$ $L$ $R$ $X$: Add $X$ to each of the elements $B_L, B_{L+1}, \ldots, B_R$.
- $3$: Print $Score(A, B)$ modulo $998,244,353$.

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first line of each test case contains two integers, $N$ and $M$, denoting the length of $A$ and $B$ respectively.
- The second line contains $N$ integers, elements of $A$.
- The third line contains $M$ integers, elements of $B$.
- The next line will contain an integer, $Q$, number of queries.
- Each of the next $Q$ lines will contain one of $3$ kinds of updates as mentioned in the statement
It’s guaranteed that each update is a valid update operation.

-----Output-----
For each query of the third type, print a single line containing one integer - the answer to that query.

-----Constraints-----
- $1 \le T \le 10$
- $2 \le N, M, Q \le 10^5$
- $0 \le |A_i|, |B_i|, |X| \le 10^5$

-----Example Input-----
1
3 4
2 -1 5
3 3 2 4
6
3
1 2 3 -2
3
1 1 3 1
2 2 4 2
3

-----Example Output-----
72
24
90

-----Explanation-----
Before the first operation, $A = [2, -1, 5],\ B = [3, 3, 2, 4]$
So, for the first operation,
$Score(A,\ B) = 2*3 + 2*3 + 2*2 + 2*4$ $+ (-1)*3$ $+ (-1)*3$ $+ (-1)*2$ $+$ $(-1)*4$ $+  5*3$ $+ 5*3$ $+ 5*2$ $+ 5*4$ $= 72.$
After the second query $A = [2, -3, 3]$, $B = [3, 3, 2, 4]$
So, for the third query, $Score(A, B) = 2*3 + 2*3 + 2*2$ $+ 2*4$ $+ (-3)*3$ $+ (-3)*3$ $+ (-3)*2$ $+ (-3)*4$ $+  3*3$ $+ 3*3$ $+ 3*2$ $+ 3*4$ $= 24$.

Difficulty: UNKNOWN_DIFFICULTY

Starter code:

Solutions:
t = int(input())
(l, r, x) = (0, 0, 0)
ans = []
for i in range(t):
	(n, m) = tuple(map(int, input().split()))
	a = list(map(int, input().split()))
	b = list(map(int, input().split()))
	suma = sum(a)
	sumb = sum(b)
	q = int(input())
	for j in range(q):
		l1 = list(map(int, input().split()))
		if l1[0] == 1:
			l = l1[1]
			r = l1[2]
			x = l1[3]
			suma = suma + (r - l + 1) * x
		elif l1[0] == 2:
			l = l1[1]
			r = l1[2]
			x = l1[3]
			sumb = sumb + (r - l + 1) * x
		else:
			ans.append(suma * sumb % 998244353)
for i in range(len(ans)):
	print(ans[i])


import math
import re
import os
import sys
input = sys.stdin.readline
for i in range(int(input())):
	a_s = 0
	b_s = 0
	M = 998244353
	ans = 0
	(n, m) = list(map(int, input().split()))
	a = list(map(int, input().split()))
	b = list(map(int, input().split()))
	a_s = sum(a)
	b_s = sum(b)
	q = int(input())
	for i in range(0, q):
		I = list(map(int, input().split()))
		if I[0] == 3:
			ans = a_s * b_s % M
			print(ans)
		else:
			(t, l, r, x) = list(map(int, I))
			if t == 1:
				a_s = (a_s + x * (r - l + 1)) % M
			else:
				b_s = (b_s + x * (r - l + 1)) % M


import sys
input = sys.stdin.readline
mxn = 998244353
for _ in range(int(input())):
	(n, m) = list(map(int, input().split()))
	a = list(map(int, input().split()))
	b = list(map(int, input().split()))
	s1 = sum(a) % mxn
	s2 = sum(b) % mxn
	for q in range(int(input())):
		ls = input().split()
		if int(ls[0]) == 3:
			print(s1 * s2 % mxn)
		else:
			(t, l, r, x) = list(map(int, ls))
			if t == 1:
				s1 = (s1 + (r - l + 1) * x) % mxn
			else:
				s2 = (s2 + (r - l + 1) * x) % mxn


import sys
mod = 998244353
input = sys.stdin.readline
t = int(input())
for _ in range(t):
	(n, m) = list(map(int, input().split()))
	arr1 = [int(j) for j in input().split()]
	arr2 = [int(j) for j in input().split()]
	a = sum(arr1)
	b = sum(arr2)
	q = int(input())
	for i in range(q):
		s = input().split()
		if len(s) == 1:
			print(a * b % mod)
		else:
			(num, l, r, x) = list(map(int, s))
			if num == 1:
				a += (r - l + 1) * x
				a %= mod
			else:
				b += (r - l + 1) * x
				b %= mod


import sys
sys.setrecursionlimit(10 ** 5 + 1)
inf = int(10 ** 20)
max_val = inf
min_val = -inf
RW = lambda : sys.stdin.readline().strip()
RI = lambda : int(RW())
RMI = lambda : [int(x) for x in sys.stdin.readline().strip().split()]
RWI = lambda : [x for x in sys.stdin.readline().strip().split()]
MOD = 998244353
for _ in [0] * RI():
	(lenA, lenB) = RMI()
	arrA = RMI()
	arrB = RMI()
	(sumA, sumB) = (sum(arrA), sum(arrB))
	for _ in [0] * RI():
		(mode, *param) = RMI()
		if mode == 3:
			print(sumA % MOD * (sumB % MOD) % MOD)
		else:

			def adds():
				(a, b, c) = param
				return c * (b - a + 1)
			if mode == 1:
				sumA += adds()
			else:
				sumB += adds()