In a football match, a penalty shootout is used to determine the winner if the score is tied after regulation and extra time. Each team takes turns attempting five penalty kicks.Team A has scored 𝑋X goals in 33 turns while team B has scored 𝑌Y goals in 44 turns.Determine if it's possible for the penalty shootout to end with equal score after both teams have taken all 55 of their penalty kicks.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two space-separated integers 𝑋X and 𝑌Y — the number of goals scored by team A in 33 turns and team B in 44 turns respectively.Output FormatFor each test case, output on a new line YES if match can still end in draw, otherwise output NO.You may print each character of the output in either uppercase or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).Constraints1≤𝑇≤10001≤T≤10000≤𝑋≤30≤X≤30≤𝑌≤40≤Y≤4Sample 1:InputOutput31 23 01 1YESNOYESExplanation:Test case 11: Team A can score 11 and 00 goals in their 4𝑡ℎ4 th and 5𝑡ℎ5 th turn respectively and team B can score 00 goals in 5𝑡ℎ5 th turn.This way the final score of penalty for both teams would be 22.Test case 22: Even if team B scores a goal in 5𝑡ℎ5 th turn, their total would be 11, which is less than the score of team A.Test case 33: Team A can score 00 and 11 goal in their 4𝑡ℎ4 th and 5𝑡ℎ5 th turn respectively and team B can score 11 goal in 5𝑡ℎ5 th turn.
Question
In a football match, a penalty shootout is used to determine the winner if the score is tied after regulation and extra time. Each team takes turns attempting five penalty kicks.Team A has scored 𝑋X goals in 33 turns while team B has scored 𝑌Y goals in 44 turns.Determine if it's possible for the penalty shootout to end with equal score after both teams have taken all 55 of their penalty kicks.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two space-separated integers 𝑋X and 𝑌Y — the number of goals scored by team A in 33 turns and team B in 44 turns respectively.Output FormatFor each test case, output on a new line YES if match can still end in draw, otherwise output NO.You may print each character of the output in either uppercase or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).Constraints1≤𝑇≤10001≤T≤10000≤𝑋≤30≤X≤30≤𝑌≤40≤Y≤4Sample 1:InputOutput31 23 01 1YESNOYESExplanation:Test case 11: Team A can score 11 and 00 goals in their 4𝑡ℎ4 th and 5𝑡ℎ5 th turn respectively and team B can score 00 goals in 5𝑡ℎ5 th turn.This way the final score of penalty for both teams would be 22.Test case 22: Even if team B scores a goal in 5𝑡ℎ5 th turn, their total would be 11, which is less than the score of team A.Test case 33: Team A can score 00 and 11 goal in their 4𝑡ℎ4 th and 5𝑡ℎ5 th turn respectively and team B can score 11 goal in 5𝑡ℎ5 th turn.
Solution
This problem can be solved by comparing the maximum possible score of team A with the minimum possible score of team B after all 5 turns.
Here are the steps to solve this problem:
- Read the number of test cases, T.
- For each test case, read the number of goals scored by team A (X) in 3 turns and team B (Y) in 4 turns.
- Calculate the maximum possible score of team A after all 5 turns. Since team A has already taken 3 turns, they have 2 turns left. If they score a goal in each of these turns, their maximum possible score will be X + 2.
- Calculate the minimum possible
Similar Questions
The total number of goals and behinds that George and Anthony kick during a football game is shown below. If each goal is worth six points and each behind is worth one point, the matrix representing the total points scored by each player is:
There is a cricket match going on between two teams 𝐴A and 𝐵B.Team 𝐵B is batting second and got a target of 𝑋X runs. Currently, team 𝐵B has scored 𝑌Y runs. Determine how many more runs Team 𝐵B should score to win the match.Note: The target score in cricket matches is one more than the number of runs scored by the team that batted first.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two space-separated integers 𝑋X and 𝑌Y, the target for team 𝐵B and the current score of team 𝐵B respectively.Output FormatFor each test case, output how many more runs team 𝐵B should score to win the match.Constraints1≤𝑇≤101≤T≤1050≤𝑌<𝑋≤20050≤Y<X≤200Sample 1:InputOutput4200 50100 99130 9753 511501332Explanation:Test case 11: The target is 200200 runs and team 𝐵B has already made 5050 runs. Thus, the team needs to make 200−50=150200−50=150 runs more, to win the match.Test case 22: The target is 100100 runs and team 𝐵B has already made 9999 runs. Thus, the team needs to make 100−99=1100−99=1 runs more, to win the match.Test case 33: The target is 130130 runs and team 𝐵B has already made 9797 runs. Thus, the team needs to make 130−97=33130−97=33 runs more, to win the match.Test case 44: The target is 5353 runs and team 𝐵B has already made 5151 runs. Thus, the team needs to make 53−51=253−51=2 runs more, to win the match.
In Chefland, a football player gets 22 points for each goal and 11 point for each assist.Messi has 𝐴A goals and 𝐵B assists this season, whereas Ronaldo has 𝑋X goals and 𝑌Y assists.Find out the player with more points this season.Input FormatThe first and only line of input will contains four space-separated integers 𝐴A, 𝐵B, 𝑋X and 𝑌Y, the number of goals and assists that Messi has and the number of goals and assists that Ronaldo has, respectively.Output FormatPrint a single line containing:Messi, if Messi has more points than Ronaldo.Ronaldo, if Ronaldo has more points than Messi.Equal, if both have equal points.You can print each character in uppercase or lowercase. For example, the strings Messi, MESSI, messi, and MeSSi are considered identical.Constraints0≤𝐴,𝐵,𝑋,𝑌≤1000≤A,B,X,Y≤100Sample 1:InputOutput40 30 50 10EqualExplanation:Messi has 4040 goals and 3030 assists. Thus, his total points are 40⋅2+30=11040⋅2+30=110.Ronaldo has 5050 goals and 1010 assists. Thus, his total points are 50⋅2+10=11050⋅2+10=110.Both have 110110 points.Sample 2:InputOutput91 22 60 30 MessiExplanation:Messi has 9191 goals and 2222 assists. Thus, his total points are 91⋅2+22=20491⋅2+22=204.Ronaldo has 6060 goals and 3030 assists. Thus, his total points are 60⋅2+30=15060⋅2+30=150.Messi has 204204 points, whereas Ronaldo has 150150.Sample 3:InputOutput60 30 80 20RonaldoExplanation:Messi has 6060 goals and 3030 assists. Thus, his total points are 60⋅2+30=15060⋅2+30=150.Ronaldo has 8080 goals and 2020 assists. Thus, his total points are 80⋅2+20=18080⋅2+20=180.Messi has 150150 points, whereas Ronaldo has 180180.
Cricket World Cup QualifierThe cricket World Cup has started in Chefland. There are many teams participating in the group stage matches. Any team that scores 1212 or more points in the group stage matches qualifies for the next stage.You know the score that a particular team has scored in the group stage matches. Determine if the team has qualified for the next stage or not.Input FormatThe first and only line of input consists of an integer 𝑋X denoting the total points scored by the given team in the group stage matches.Output FormatOutput Yes, if the team has qualified for the next stage, and No otherwise.You may print each character of the string in uppercase or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).Constraints1≤𝑋≤201≤X≤20Sample 1:InputOutput3NoExplanation:The team has not scored ≥12≥12 points. Hence it does not qualify.Sample 2:InputOutput17YesExplanation:The team has scored ≥12≥12 points. Hence it does qualify.
Input format :The first line contains an integer 't' representing the number of test cases.Each test case consists of a single line with two space-separated integers 'x' and 'y', representing the scores of Sasha and Brenda, respectively, for a particular round.Output format :For each test case, the output prints the result of that round.If x is greater than y, the output prints "Sasha".If x is equal to y, the output prints "Tie".Otherwise, the output prints "Brenda"
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.