Cody

Problem 10. Determine whether a vector is monotonically increasing

Solution 1750506

Submitted on 14 Mar 2019 by max Gutierrez
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test Status Code Input and Output
1   Pass
x = [0 1 2 3 4]; assert(isequal(mono_increase(x),true));

tf = 1 tf = 1 1 tf = 1 1 1 tf = 1 1 1 1 tf = 1

2   Pass
x = [0]; assert(isequal(mono_increase(x),true));

tf = 1

3   Pass
x = [0 0 0 0 0]; assert(isequal(mono_increase(x),false));

tf = 0 tf = 0 0 tf = 0 0 0 tf = 0 0 0 0 tf = 0

4   Pass
x = [0 1 2 3 -4]; assert(isequal(mono_increase(x),false));

tf = 1 tf = 1 1 tf = 1 1 1 tf = 1 1 1 0 tf = 0

5   Pass
x = [-3 -4 2 3 4]; assert(isequal(mono_increase(x),false));

tf = 0 tf = 0 1 tf = 0 1 1 tf = 0 1 1 1 tf = 0

6   Pass
x = 1:.1:10; assert(isequal(mono_increase(x),true));

tf = 1 tf = 1 1 tf = 1 1 1 tf = 1 1 1 1 tf = 1 1 1 1 1 tf = 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Column 31 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 32 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 33 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 34 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 35 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 36 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 37 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 38 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 39 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 40 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 41 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 42 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 43 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 44 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 45 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 46 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 47 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 48 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 49 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 50 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 51 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 52 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

7   Pass
x = cumsum(rand(1,100)); x(5) = -1; assert(isequal(mono_increase(x),false));

tf = 1 tf = 1 1 tf = 1 1 1 tf = 1 1 1 0 tf = 1 1 1 0 1 tf = 1 1 1 0 1 1 tf = 1 1 1 0 1 1 1 tf = 1 1 1 0 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Column 31 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 32 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 33 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 34 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 35 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 36 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 37 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 38 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 39 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 40 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 41 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 42 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 43 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 44 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 45 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 46 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 47 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 48 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 49 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 50 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 51 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 52 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

8   Pass
x = cumsum(rand(1,50)); assert(isequal(mono_increase(x),true));

tf = 1 tf = 1 1 tf = 1 1 1 tf = 1 1 1 1 tf = 1 1 1 1 1 tf = 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Column 31 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 32 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 33 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 34 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 35 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 36 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 37 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 38 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 39 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 40 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 41 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 42 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 43 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 44 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 45 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 46 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 47 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 48 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = Columns 1 through 30 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 31 through 49 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 tf = 1

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