ABC-DEF

AtCoder

IDabc275_b

Time2000ms

Memory256MB

Difficulty—

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: $A$ $B$ $C$ $D$ $E$ $F$ [samples]

Samples

Input #1

2 3 5 1 2 4

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 $22$.

Input #2

1 1 1000000000 0 0 0

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 $1755647$.

Input #3

1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000

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 $0$.

API Response (JSON)

{
  "problem": {
    "name": "ABC-DEF",
    "description": {
      "content": "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 divide",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc275_b"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are non-negative integers $A$, $B$, $C$, $D$, $E$, and $F$, which satisfy $A\\times B\\times C\\geq D\\times E\\times F$.  \nFind the remainder when $(A\\times B\\times C)-(D\\times E\\times F)$ is divide...",
      "is_translate": false,
      "language": "English"
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}

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