102751: [AtCoder]ABC275 B - ABC-DEF
Description
Score : $200$ points
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 $0$.
Input
题意翻译
输入 $A,B,C,D,E,F(0\le A,B,C,D,E,F\le10^{18})$，输出 $(A\times B\times C)-(D\times E \times F) \mod 998244353$Output
问题描述
存在非负整数$A$、$B$、$C$、$D$、$E$和$F$，满足$A\times B\times C\geq D\times E\times F$。
求$(A\times B\times C)-(D\times E\times F)$除以$998244353$的余数。
约束条件
- $0\leq A,B,C,D,E,F\leq 10^{18}$
- $A\times B\times C\geq D\times E\times F$
- $A$、$B$、$C$、$D$、$E$和$F$是整数。
输入
输入将从标准输入中按照以下格式给出：
$A$ $B$ $C$ $D$ $E$ $F$
输出
将$(A\times B\times C)-(D\times E\times F)$除以$998244353$的余数，作为整数打印。
样例输入1
2 3 5 1 2 4
样例输出1
22
因为$A\times B\times C=2\times 3\times 5=30$，$D\times E\times F=1\times 2\times 4=8$，
所以我们有$(A\times B\times C)-(D\times E\times F)=22$。将这个数除以$998244353$，并打印余数，即$22$。
样例输入2
1 1 1000000000 0 0 0
样例输出2
1755647
因为$A\times B\times C=1000000000$，$D\times E\times F=0$，
所以我们有$(A\times B\times C)-(D\times E\times F)=1000000000$。将这个数除以$998244353$，并打印余数，即$1755647$。
样例输入3
1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000
样例输出3
0
我们有$(A\times B\times C)-(D\times E\times F)=0$。将这个数除以$998244353$，并打印余数，即$0$。