Problem Statement

There are non-negative integers $A$, $B$, $C$, $D$, $E$, and $F$, which satisfy $A\\times B\\times C\\geq D\\times E\\times F$.
Find the remainder when $(A\\times B\\times C)-(D\\times E\\times F)$ is divided by $998244353$.

Constraints

• $0\\leq A,B,C,D,E,F\\leq 10^{18}$
• $A\\times B\\times C\\geq D\\times E\\times F$
• $A$, $B$, $C$, $D$, $E$, and $F$ are integers.

Input

The input is given from Standard Input in the following format:

$A$ $B$ $C$ $D$ $E$ $F$

Output

Print the remainder when $(A\\times B\\times C)-(D\\times E\\times F)$ is divided by $998244353$, as an integer.

Sample Input 1

2 3 5 1 2 4

Sample Output 1

22

Since $A\\times B\\times C=2\\times 3\\times 5=30$ and $D\\times E\\times F=1\\times 2\\times 4=8$,
we have $(A\\times B\\times C)-(D\\times E\\times F)=22$. Divide this by $998244353$ and print the remainder, which is $22$.

Sample Input 2

1 1 1000000000 0 0 0

Sample Output 2

1755647

Since $A\\times B\\times C=1000000000$ and $D\\times E\\times F=0$,
we have $(A\\times B\\times C)-(D\\times E\\times F)=1000000000$. Divide this by $998244353$ and print the remainder, which is $1755647$.

Sample Input 3

1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000

Sample Output 3

0

We have $(A\\times B\\times C)-(D\\times E\\times F)=0$. Divide this by $998244353$ and print the remainder, which is $0$.