Problem 1272. The almost-birthday problem.

Solution 204603

Submitted on 15 Feb 2013 by Christopher

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Test	Status	Code Input and Output
1	Pass	%% n = 10; d = 1; y_correct = 0.3147; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
2	Pass	%% n = 14; d = 1; y_correct = 0.5375; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
3	Pass	%% n = 20; d = 1; y_correct = 0.8045; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
4	Pass	%% n = 25; d = 1; y_correct = 0.9263; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
5	Pass	%% n = 30; d = 1; y_correct = 0.9782; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
6	Pass	%% n = 35; d = 1; y_correct = 0.9950; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
7	Pass	%% n = 10; d = 2; y_correct = 0.4721; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
8	Pass	%% n = 14; d = 2; y_correct = 0.7305; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
9	Pass	%% n = 20; d = 2; y_correct = 0.9393; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
10	Pass	%% n = 25; d = 2; y_correct = 0.9890; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
11	Pass	%% n = 30; d = 2; y_correct = 0.9987; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
12	Pass	%% n = 10; d = 3; y_correct = 0.5965; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
13	Pass	%% n = 14; d = 3; y_correct = 0.8466; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
14	Pass	%% n = 20; d = 3; y_correct = 0.9826; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)
15	Pass	%% n = 25; d = 3; y_correct = 0.9986; assert(abs(almostBirthday(n,d)-y_correct) <= 0.0001)