Cricket match result

Problem

In a college cricket match, Team A and Team B each bat once. Read both scores and print the result line for the scoreboard:

Team A wins by X runs or Team B wins by X runs, where X is the difference in runs;
when the difference is exactly 1, write run, not runs;
Match tied when the scores are equal.

Input: One line with two integers: the score of Team A, then the score of Team B.
Output: One line: the result as described.
Constraints: 0 ≤ score ≤ 500

Example 1

Input

182 156

Output

Team A wins by 26 runs

Team A scored 26 more runs.

Example 2

Input

149 150

Output

Team B wins by 1 run

Team B wins by a single run, so the word is run.

Try the problem first. Open one hint at a time.

Hint 1

First decide who won (or if it is a tie) with an else-if ladder.

Hint 2

Inside each winning branch, compute the margin by subtracting the smaller score from the larger one.

Hint 3

Then use a nested if (or the ternary operator) to choose between run and runs.

Write your Java code, run it on the examples and submit it to hidden tests.