Test | Status | Code Input and Output |
---|---|---|
1 | Pass |
Init = [1,1];
Rules = [1,1];
N = 1:10;
values_correct = [1 1 2 3 5 8 13 21 34 55];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 1
values =
1 1 2
values =
1 1 2 3
values =
1 1 2 3 5
values =
1 1 2 3 5 8
values =
1 1 2 3 5 8 13
values =
1 1 2 3 5 8 13 21
values =
1 1 2 3 5 8 13 21 34
values =
1 1 2 3 5 8 13 21 34 55
|
2 | Pass |
Init = [2,3];
Rules = [1,1];
N = 1:10;
values_correct = [2, 3, 5, 8, 13, 21, 34, 55, 89, 144];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
2
values =
2 3
values =
2 3 5
values =
2 3 5 8
values =
2 3 5 8 13
values =
2 3 5 8 13 21
values =
2 3 5 8 13 21 34
values =
2 3 5 8 13 21 34 55
values =
2 3 5 8 13 21 34 55 89
values =
2 3 5 8 13 21 34 55 89 144
|
3 | Pass |
Init = [1,1];
Rules = [1,1];
N = -5:5;
values_correct = [5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5];
values_accepted = [nan, nan, nan, nan, nan, nan, 1, 1, 2, 3, 5];
values = recurrence_seq(N, Init, Rules);
assert(isequal(values,values_correct)||isequaln(values,values_accepted))
values =
NaN
values =
NaN NaN
values =
NaN NaN NaN
values =
NaN NaN NaN NaN
values =
NaN NaN NaN NaN NaN
values =
NaN NaN NaN NaN NaN NaN
values =
NaN NaN NaN NaN NaN NaN 1
values =
NaN NaN NaN NaN NaN NaN 1 1
values =
NaN NaN NaN NaN NaN NaN 1 1 2
values =
NaN NaN NaN NaN NaN NaN 1 1 2 3
values =
NaN NaN NaN NaN NaN NaN 1 1 2 3 5
|
4 | Pass |
Init = [1,3];
Rules = [1,1];
N = 1:10;
values_correct = [1, 3, 4, 7, 11, 18, 29, 47, 76, 123];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 3
values =
1 3 4
values =
1 3 4 7
values =
1 3 4 7 11
values =
1 3 4 7 11 18
values =
1 3 4 7 11 18 29
values =
1 3 4 7 11 18 29 47
values =
1 3 4 7 11 18 29 47 76
values =
1 3 4 7 11 18 29 47 76 123
|
5 | Pass |
Init = [1, 1, 1];
Rules = [1, 1, 0];
N = 4:21;
values_correct = [2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
2
values =
2 2
values =
2 2 3
values =
2 2 3 4
values =
2 2 3 4 5
values =
2 2 3 4 5 7
values =
2 2 3 4 5 7 9
values =
2 2 3 4 5 7 9 12
values =
2 2 3 4 5 7 9 12 16
values =
2 2 3 4 5 7 9 12 16 21
values =
2 2 3 4 5 7 9 12 16 21 28
values =
2 2 3 4 5 7 9 12 16 21 28 37
values =
2 2 3 4 5 7 9 12 16 21 28 37 49
values =
2 2 3 4 5 7 9 12 16 21 28 37 49 65
values =
2 2 3 4 5 7 9 12 16 21 28 37 49 65 86
values =
2 2 3 4 5 7 9 12 16 21 28 37 49 65 86 114
values =
2 2 3 4 5 7 9 12 16 21 28 37 49 65 86 114 151
values =
2 2 3 4 5 7 9 12 16 21 28 37 49 65 86 114 151 200
|
6 | Pass |
Init = [0, 1];
Rules = [1, 2];
N = 4:3:19;
values_correct = [5, 70, 985, 13860, 195025, 2744210];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
5
values =
5 70
values =
5 70 985
values =
5 70 985 13860
values =
5 70 985 13860 195025
values =
5 70 985 13860 195025 2744210
|
7 | Pass |
Init = [3-2, 9-4];
Rules = [-6 5];
N = 1:10;
values_correct = [1, 5, 19, 65, 211, 665, 2059, 6305, 19171, 58025];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 5
values =
1 5 19
values =
1 5 19 65
values =
1 5 19 65 211
values =
1 5 19 65 211 665
values =
1 5 19 65 211 665 2059
values =
1 5 19 65 211 665 2059 6305
values =
1 5 19 65 211 665 2059 6305 19171
values =
1 5 19 65 211 665 2059 6305 19171 58025
|
8 | Pass |
Init = [3, 0, 2];
Rules = [1, 1, 0];
N = [28:38, 10:-1:1];
values_correct = [1983, 2627, 3480, 4610, 6107, 8090, 10717, 14197, 18807, 24914, 33004, 12, 10, 7, 5, 5, 2, 3, 2, 0, 3];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1983
values =
1983 2627
values =
1983 2627 3480
values =
1983 2627 3480 4610
values =
1983 2627 3480 4610 6107
values =
1983 2627 3480 4610 6107 8090
values =
1983 2627 3480 4610 6107 8090 10717
values =
1983 2627 3480 4610 6107 8090 10717 14197
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7
values =
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Column 16
5
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Columns 16 through 17
5 2
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Columns 16 through 18
5 2 3
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Columns 16 through 19
5 2 3 2
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Columns 16 through 20
5 2 3 2 0
values =
Columns 1 through 15
1983 2627 3480 4610 6107 8090 10717 14197 18807 24914 33004 12 10 7 5
Columns 16 through 21
5 2 3 2 0 3
|
9 | Pass |
Init = [3, 0, 2]; % Perrin init
Rules = [1, 1, 1]; % Tribonacci rules
N = [1:15];
values_correct = [3, 0, 2, 5, 7, 14, 26, 47, 87, 160, 294, 541, 995, 1830, 3366];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
3
values =
3 0
values =
3 0 2
values =
3 0 2 5
values =
3 0 2 5 7
values =
3 0 2 5 7 14
values =
3 0 2 5 7 14 26
values =
3 0 2 5 7 14 26 47
values =
3 0 2 5 7 14 26 47 87
values =
3 0 2 5 7 14 26 47 87 160
values =
3 0 2 5 7 14 26 47 87 160 294
values =
3 0 2 5 7 14 26 47 87 160 294 541
values =
3 0 2 5 7 14 26 47 87 160 294 541 995
values =
3 0 2 5 7 14 26 47 87 160 294 541 995 1830
values =
3 0 2 5 7 14 26 47 87 160 294 541 995 1830 3366
|
10 | Pass |
Init = [0, 0, 1];
Rules = [1, 1, 1];
N = [1:23];
values_correct = [0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
0
values =
0 0
values =
0 0 1
values =
0 0 1 1
values =
0 0 1 1 2
values =
0 0 1 1 2 4
values =
0 0 1 1 2 4 7
values =
0 0 1 1 2 4 7 13
values =
0 0 1 1 2 4 7 13 24
values =
0 0 1 1 2 4 7 13 24 44
values =
0 0 1 1 2 4 7 13 24 44 81
values =
0 0 1 1 2 4 7 13 24 44 81 149
values =
0 0 1 1 2 4 7 13 24 44 81 149 274
values =
0 0 1 1 2 4 7 13 24 44 81 149 274 504
values =
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Column 16
1705
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 17
1705 3136
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 18
1705 3136 5768
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 19
1705 3136 5768 10609
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 20
1705 3136 5768 10609 19513
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 21
1705 3136 5768 10609 19513 35890
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 22
1705 3136 5768 10609 19513 35890 66012
values =
Columns 1 through 15
0 0 1 1 2 4 7 13 24 44 81 149 274 504 927
Columns 16 through 23
1705 3136 5768 10609 19513 35890 66012 121415
|
11 | Pass |
Init = [0, 0, 0, 1];
Rules = [1, 1, 1, 1];
N = [20:23];
values_correct = [20569, 39648, 76424, 147312];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
20569
values =
20569 39648
values =
20569 39648 76424
values =
20569 39648 76424 147312
|
12 | Pass |
Init = [0, 0, 0, 0, 0, 0, 1];
Rules = [1, 1, 1, 1, 1, 1, 1];
N = [7:15, 19];
values_correct = [1, 1, 2, 4, 8, 16, 32, 64, 127, 2000];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 1
values =
1 1 2
values =
1 1 2 4
values =
1 1 2 4 8
values =
1 1 2 4 8 16
values =
1 1 2 4 8 16 32
values =
1 1 2 4 8 16 32 64
values =
1 1 2 4 8 16 32 64 127
values =
1 1 2 4 8 16 32 64 127 2000
|
13 | Pass |
Init = [1, -1];
Rules = [1, -1];
N = 1:10;
values_correct = [1, -1, 2, -3, 5, -8, 13, -21, 34, -55];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 -1
values =
1 -1 2
values =
1 -1 2 -3
values =
1 -1 2 -3 5
values =
1 -1 2 -3 5 -8
values =
1 -1 2 -3 5 -8 13
values =
1 -1 2 -3 5 -8 13 -21
values =
1 -1 2 -3 5 -8 13 -21 34
values =
1 -1 2 -3 5 -8 13 -21 34 -55
|
14 | Pass |
Init = [1, -1];
Rules = [-1, 1];
N = 1:10;
values_correct = [1, -1, -2, -1, 1, 2, 1, -1, -2, -1];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 -1
values =
1 -1 -2
values =
1 -1 -2 -1
values =
1 -1 -2 -1 1
values =
1 -1 -2 -1 1 2
values =
1 -1 -2 -1 1 2 1
values =
1 -1 -2 -1 1 2 1 -1
values =
1 -1 -2 -1 1 2 1 -1 -2
values =
1 -1 -2 -1 1 2 1 -1 -2 -1
|
15 | Pass |
Init = [1, -1];
Rules = [1, 1];
N = 1:10;
values_correct = [1, -1, 0, -1, -1, -2, -3, -5, -8, -13];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 -1
values =
1 -1 0
values =
1 -1 0 -1
values =
1 -1 0 -1 -1
values =
1 -1 0 -1 -1 -2
values =
1 -1 0 -1 -1 -2 -3
values =
1 -1 0 -1 -1 -2 -3 -5
values =
1 -1 0 -1 -1 -2 -3 -5 -8
values =
1 -1 0 -1 -1 -2 -3 -5 -8 -13
|
16 | Pass |
Init = [1, 1];
Rules = [2, -1];
N = 1:10;
values_correct = ones(1,10);
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 1
values =
1 1 1
values =
1 1 1 1
values =
1 1 1 1 1
values =
1 1 1 1 1 1
values =
1 1 1 1 1 1 1
values =
1 1 1 1 1 1 1 1
values =
1 1 1 1 1 1 1 1 1
values =
1 1 1 1 1 1 1 1 1 1
|
17 | Pass |
Init = [1, 2];
Rules = [2, -1];
N = 1:10;
values_correct = [1, 2, 0, 4, -4, 12, -20, 44, -84, 172];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 2
values =
1 2 0
values =
1 2 0 4
values =
1 2 0 4 -4
values =
1 2 0 4 -4 12
values =
1 2 0 4 -4 12 -20
values =
1 2 0 4 -4 12 -20 44
values =
1 2 0 4 -4 12 -20 44 -84
values =
1 2 0 4 -4 12 -20 44 -84 172
|
18 | Pass |
Init = [0, 1];
Rules = [2, 1];
N = 1:10;
values_correct = [0, 1, 1, 3, 5, 11, 21, 43, 85, 171];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
0
values =
0 1
values =
0 1 1
values =
0 1 1 3
values =
0 1 1 3 5
values =
0 1 1 3 5 11
values =
0 1 1 3 5 11 21
values =
0 1 1 3 5 11 21 43
values =
0 1 1 3 5 11 21 43 85
values =
0 1 1 3 5 11 21 43 85 171
|
19 | Pass |
Init = [1, 0, 2];
Rules = [-1 1 1];
N = 1:20;
values_correct = [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, 9, 8, 10, 9];
assert(isequal(recurrence_seq(N, Init, Rules),values_correct))
values =
1
values =
1 0
values =
1 0 2
values =
1 0 2 1
values =
1 0 2 1 3
values =
1 0 2 1 3 2
values =
1 0 2 1 3 2 4
values =
1 0 2 1 3 2 4 3
values =
1 0 2 1 3 2 4 3 5
values =
1 0 2 1 3 2 4 3 5 4
values =
1 0 2 1 3 2 4 3 5 4 6
values =
1 0 2 1 3 2 4 3 5 4 6 5
values =
1 0 2 1 3 2 4 3 5 4 6 5 7
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10
values =
1 0 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9
|
Change the sign of even index entries of the reversed vector
214 Solvers
160 Solvers
Reverse the elements of an array
563 Solvers
Given a 4x4 matrix, swap the two middle columns
300 Solvers
190 Solvers