C LanguageTitle : Tennis Game Sample Input #14 2 14Sample Output #1YESExplanation for the sample input/output #1This is the example from the problem description.Sample Input #23 1 2Sample Output #2NOExplanation for the sample input/output # 2To win a set, a player should win at least 3 games. In this case, the match cannot be ended with exactly 2games.Sample Input #36 5 181Sample Output #3YESExplanation for the sample input/output # 3One example match is as follows.• Set 1: P1 wins 6 games while P2 wins 4 games.• Set 2: P1 wins 3 games while P2 wins 6 games.• Set 3: P1 wins 5 games while P2 wins 7 games.• Set 4: P1 wins 7 games while P2 wins 5 games.• Set 5: P1 wins 70 games while P2 wins 68 games. Tennis GameTennis is a racket sport that is played by two opposing players on S sets. Each set consists of at least Kgames. A set is won by a player if that player wins at least K games and at least 2 games more than theopponent. Once a set is won, the set is ended and the match continues to a new set (if any) where bothplayers start from 0 game won for that new set.For example, let K = 6, then a set can be ended with any of the following.• P1 (Player 1) wins 6 games while P2 (Player 2) wins 3 games → P1 wins the set.• P1 wins 7 games while P2 wins 9 games → P2 wins the set.On the other hand, a set cannot be ended with any of the following.• P1 wins 6 games while P2 wins 5 games → no player wins at least 2 games more than the opponent.• P1 wins 0 game while P2 wins 5 games → no player wins K = 6 games.• P1 wins 7 games while P2 wins 0 games → the set is already ended when P1 won the first 6 games.• P1 wins 8 games while P2 wins 5 games → the set must already be ended before it reaches this state,e.g., the set can be ended at 7 – 5, 6 – 4, 6 – 3, etc.You are given K, S and N, determine whether there could be such a tennis match with S sets to ends exactlywith N games. If there is such a tennis match, then output "YES" (without quotes) in a single line, otherwise,output "NO" (without quotes) in a single line.For example, let K = 4, S = 2, and N = 14. It is possible to have such a tennis match. One the possibilitiesis as follows.• Set 1: P1 wins 6 games while P2 wins 4 games.• Set 2: P1 wins 4 games while P2 wins 0 games.There are a total of N = 6 + 4 + 4 + 0 = 14 games on S = 2 sets where each set is won if a player won atleast K = 4 games and at least 2 games more than the opponent.InputInput contains three integers K S N (2 < K < 10°; 1 < s,N < 10º) in a line representing the minimumnumber of games to win a set, the total number of sets, and the total number of games, respectively.OutputOutput in a line a string "Y ES" or "NO" (without quotes) whether it is possible to have such a tennis match.

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Answered: C Language Title : Tennis Game

Engineering

Computer Science

C Language Title : Tennis Game

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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