D. World is Minetime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputAlice and Bob are playing a game. Initially, there are n𝑛 cakes, with the i𝑖-th cake having a tastiness value of ai𝑎𝑖.Alice and Bob take turns eating them, with Alice starting first:In her turn, Alice chooses and eats any remaining cake whose tastiness is strictly greater than the maximum tastiness of any of the cakes she's eaten before that. Note that on the first turn, she can choose any cake.In his turn, Bob chooses any remaining cake and eats it.The game ends when the current player can't eat a suitable cake. Let x𝑥 be the number of cakes that Alice ate. Then, Alice wants to maximize x𝑥, while Bob wants to minimize x𝑥.Find out how many cakes Alice will eat if both players play optimally.InputEach test contains multiple test cases. The first line of input contains a single integer t𝑡 (1≤t≤5001≤𝑡≤500) — the number of test cases. The description of the test cases follows.The first line of each test case contains a single integer n𝑛 (1≤n≤50001≤𝑛≤5000) — the number of cakes.The second line of each test case contains n𝑛 integers a1,a2,…,an𝑎1,𝑎2,…,𝑎𝑛 (1≤ai≤n1≤𝑎𝑖≤𝑛) — the tastiness values of the cakes.It is guaranteed that the sum of n𝑛 over all test cases does not exceed 50005000.OutputFor each test case, output a single integer — the number of cakes Alice will eat if both players play optimally.ExampleinputCopy941 4 2 331 1 151 4 2 3 443 4 1 41184 3 2 5 6 8 3 476 1 1 3 5 3 1116 11 6 8 7 5 3 11 2 3 5172 6 5 3 9 1 6 2 5 6 3 2 3 9 6 1 6outputCopy213213244NoteIn the first test case, one possible sequence of turns is:Alice eats a cake with a tastiness value of 11. The remaining cakes are [4,2,3][4,2,3].Bob eats a cake with a tastiness value of 22. The remaining cakes are [4,3][4,3].Alice eats a cake with a tastiness of 33. The remaining cakes are [4][4].Bob eats a cake with a tastiness value of 44. The remaining cakes are [][].Since there are no more cakes left, the game ends.In the second test case, one possible sequence of turns is:Alice eats a cake with a tastiness value of 11. The remaining cakes are [1,1][1,1].Bob eats a cake with a tastiness value of 11. The remaining cakes are [1][1].Since Alice has already eaten a cake with a tastiness value of 11, she cannot make a turn, so the game ends.

A. Only Plusestime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputKmes has written three integers a𝑎, b𝑏 and c𝑐 in order to remember that he has to give Noobish_Monk a×b×c𝑎×𝑏×𝑐 bananas.Noobish_Monk has found these integers and decided to do the following at most 55 times:pick one of these integers;increase it by 11.For example, if a=2𝑎=2, b=3𝑏=3 and c=4𝑐=4, then one can increase a𝑎 three times by one and increase b𝑏 two times. After that a=5𝑎=5, b=5𝑏=5, c=4𝑐=4. Then the total number of bananas will be 5×5×4=1005×5×4=100.What is the maximum value of a×b×c𝑎×𝑏×𝑐 Noobish_Monk can achieve with these operations?InputEach test contains multiple test cases. The first line of input contains a single integer t𝑡 (1≤t≤10001≤𝑡≤1000) — the number of test cases. The description of the test cases follows.The first and only line of each test case contains three integers a𝑎, b𝑏 and c𝑐 (1≤a,b,c≤101≤𝑎,𝑏,𝑐≤10) — Kmes's integers.OutputFor each test case, output a single integer — the maximum amount of bananas Noobish_Monk can get.ExampleinputCopy22 3 410 1 10outputCopy100600

Only Plusestime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputKmes has written three integers a𝑎, b𝑏 and c𝑐 in order to remember that he has to give Noobish_Monk a×b×c𝑎×𝑏×𝑐 bananas.Noobish_Monk has found these integers and decided to do the following at most 55 times:pick one of these integers;increase it by 11.For example, if a=2𝑎=2, b=3𝑏=3 and c=4𝑐=4, then one can increase a𝑎 three times by one and increase b𝑏 two times. After that a=5𝑎=5, b=5𝑏=5, c=4𝑐=4. Then the total number of bananas will be 5×5×4=1005×5×4=100.What is the maximum value of a×b×c𝑎×𝑏×𝑐 Noobish_Monk can achieve with these operations?InputEach test contains multiple test cases. The first line of input contains a single integer t𝑡 (1≤t≤10001≤𝑡≤1000) — the number of test cases. The description of the test cases follows.The first and only line of each test case contains three integers a𝑎, b𝑏 and c𝑐 (1≤a,b,c≤101≤𝑎,𝑏,𝑐≤10) — Kmes's integers.OutputFor each test case, output a single integer — the maximum amount of bananas Noobish_Monk can get.ExampleinputCopy22 3 410 1 10outputCopy100600

Chef has recently moved into an apartment. It takes 3030 minutes for Chef to reach office from the apartment.Chef left for the office 𝑋X minutes before Chef was supposed to reach. Determine whether or not Chef will be able to reach on time.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of a single integer 𝑋X.Output FormatFor each test case, output YES if Chef will reach on time, NO otherwise.The output is case-insensitive. Thus, the strings YES, yes, yeS, and Yes are all considered the same.Constraints1≤𝑇≤601≤T≤601≤𝑋≤601≤X≤60Sample 1:InputOutput6306014293142YESYESNONOYESYESExplanation:Test case 1: Chef leaves 3030 minutes before he is supposed to reach, so he will reach the office exactly on time since it takes 3030 minutes to commute.Test case 2: Chef will reach 3030 minutes early.Test case 3: Chef will reach 16 minutes late.

In a classic chase, Tom is running after Jerry as Jerry has eaten Tom's favourite food.Jerry is running at a speed of 𝑋X metres per second while Tom is chasing him at a speed of 𝑌Y metres per second. Determine whether Tom will be able to catch Jerry.Note that initially Jerry is not at the same position as Tom.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 speeds of Jerry and Tom respectively.Output FormatFor each test case, output on a new line, YES, if Tom will be able to catch Jerry. Otherwise, output NO.You can print each character in uppercase or lowercase. For example NO, no, No, and nO are all considered the same.Constraints1≤𝑇≤1001≤T≤1001≤𝑋,𝑌≤101≤X,Y≤10Sample 1:InputOutput42 34 11 13 5YESNONOYESExplanation:Test case 11: Jerry is running at the speed of 22 metres per second while Tom is chasing him at the speed of 33 metres per second. Since Jerry's speed is less than Tom's, Tom will eventually catch Jerry.Test case 22: Jerry is running at the speed of 44 metres per second while Tom is chasing him at the speed of 11 metres per second. Since Jerry's speed is higher than Tom's, Tom will never be able to catch Jerry.Test case 33: Jerry is running at the speed of 11 metre per second while Tom is chasing him at the speed of 11 metre per second. Since Jerry's speed is same as that of Tom's and both of them are not at the same position, Tom will never be able to catch Jerry.Test case 44: Jerry is running at the speed of 33 metres per second while Tom is chasing him at the speed of 55 metres per second. Since Jerry's speed is less than Tom's, Tom will eventually catch Jerry.

Question10Max. score: 40.00PatternInput format :two integersOutput format :Print patternconstraints :1<=N<=100Sample input5 4Sample outputX X X X X 0 0 X X 0 0 X X 0 0 X X X X XNote:Your code must be able to print the sample output from the provided sample input. However, your code is run against multiple hidden test cases. Therefore, your code must pass these hidden test cases to solve the problem statement.LimitsTime Limit: 5.0 sec(s) for each input fileMemory Limit: 256 MBSource Limit: 1024 KBScoringScore is assigned if any testcase passesAllowed LanguagesC