Cody

# Problem 44360. Pentagonal Numbers

Solution 1327342

Submitted on 4 Nov 2017 by Robert Cline
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### Test Suite

Test Status Code Input and Output
1   Pass
x1 = 1; x2 = 25; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[1,5,12,22])) assert(isequal(d,[0,1,0,0]))

low = 1 high = 5 p = [] d = [] d = 0 d = 0 1 d = 0 1 0 d = 0 1 0 0 p = 1 5 12 22 d = 0 1 0 0

2   Pass
x1 = 1; x2 = 4; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,1)) assert(isequal(d,0))

low = 1 high = 2 p = [] d = [] d = 0 p = 1 d = 0

3   Pass
x1 = 10; x2 = 40; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[12,22,35])) assert(isequal(d,[0,0,1]))

low = 2 high = 6 p = [] d = [] d = 0 d = 0 0 d = 0 0 1 p = 12 22 35 d = 0 0 1

4   Pass
x1 = 10; x2 = 99; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[12,22,35,51,70,92])) assert(isequal(d,[0,0,1,0,1,0]))

low = 2 high = 9 p = [] d = [] d = 0 d = 0 0 d = 0 0 1 d = 0 0 1 0 d = 0 0 1 0 1 d = 0 0 1 0 1 0 p = 12 22 35 51 70 92 d = 0 0 1 0 1 0

5   Pass
x1 = 100; x2 = 999; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[117,145,176,210,247,287,330,376,425,477,532,590,651,715,782,852,925])) assert(isequal(d,[0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1]))

low = 8 high = 26 p = [] d = [] d = 0 d = 0 1 d = 0 1 0 d = 0 1 0 1 d = 0 1 0 1 0 d = 0 1 0 1 0 0 d = 0 1 0 1 0 0 1 d = 0 1 0 1 0 0 1 0 d = 0 1 0 1 0 0 1 0 1 d = 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 1 0 0 1 0 1 0 0 1 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 1 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 p = 117 145 176 210 247 287 330 376 425 477 532 590 651 715 782 852 925 d = 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1

6   Pass
x1 = 40; x2 = 50; [p,d] = pentagonal_numbers(x1,x2) assert(isempty(p)) assert(isempty(d))

low = 5 high = 6 p = [] d = [] p = [] d = []

7   Pass
x1 = 1000; x2 = 1500; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[1001,1080,1162,1247,1335,1426])) assert(isequal(d,[0,1,0,0,1,0]))

low = 25 high = 32 p = [] d = [] d = 0 d = 0 1 d = 0 1 0 d = 0 1 0 0 d = 0 1 0 0 1 d = 0 1 0 0 1 0 p = 1001 1080 1162 1247 1335 1426 d = 0 1 0 0 1 0

8   Pass
x1 = 1500; x2 = 3000; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[1520,1617,1717,1820,1926,2035,2147,2262,2380,2501,2625,2752,2882])) assert(isequal(d,[1,0,0,1,0,1,0,0,1,0,1,0,0]))

low = 31 high = 45 p = [] d = [] d = 1 d = 1 0 d = 1 0 0 d = 1 0 0 1 d = 1 0 0 1 0 d = 1 0 0 1 0 1 d = 1 0 0 1 0 1 0 d = 1 0 0 1 0 1 0 0 d = 1 0 0 1 0 1 0 0 1 d = 1 0 0 1 0 1 0 0 1 0 d = 1 0 0 1 0 1 0 0 1 0 1 d = 1 0 0 1 0 1 0 0 1 0 1 0 d = 1 0 0 1 0 1 0 0 1 0 1 0 0 p = 1520 1617 1717 1820 1926 2035 2147 2262 2380 2501 2625 2752 2882 d = 1 0 0 1 0 1 0 0 1 0 1 0 0

9   Pass
x1 = 1; x2 = 3000; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[1,5,12,22,35,51,70,92,117,145,176,210,247,287,330,376,425,477,532,590,651,715,782,852,925,1001,1080,1162,1247,1335,1426,1520,1617,1717,1820,1926,2035,2147,2262,2380,2501,2625,2752,2882])) assert(isequal(d,[0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]))

low = 1 high = 45 p = [] d = [] d = 0 d = 0 1 d = 0 1 0 d = 0 1 0 0 d = 0 1 0 0 1 d = 0 1 0 0 1 0 d = 0 1 0 0 1 0 1 d = 0 1 0 0 1 0 1 0 d = 0 1 0 0 1 0 1 0 0 d = 0 1 0 0 1 0 1 0 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Column 30 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 31 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 32 1 0 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 33 1 0 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 34 1 0 1 0 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 35 1 0 1 0 0 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 36 1 0 1 0 0 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 37 1 0 1 0 0 1 0 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 38 1 0 1 0 0 1 0 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 39 1 0 1 0 0 1 0 1 0 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 40 1 0 1 0 0 1 0 1 0 0 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 41 1 0 1 0 0 1 0 1 0 0 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 42 1 0 1 0 0 1 0 1 0 0 1 0 1 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 43 1 0 1 0 0 1 0 1 0 0 1 0 1 0 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 44 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 p = Columns 1 through 14 1 5 12 22 35 51 70 92 117 145 176 210 247 287 Columns 15 through 28 330 376 425 477 532 590 651 715 782 852 925 1001 1080 1162 Columns 29 through 42 1247 1335 1426 1520 1617 1717 1820 1926 2035 2147 2262 2380 2501 2625 Columns 43 through 44 2752 2882 d = Columns 1 through 29 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 Columns 30 through 44 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0

10   Pass
x1 = 10000; x2 = 12000; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[10045,10292,10542,10795,11051,11310,11572,11837])) assert(isequal(d,[1,0,0,1,0,1,0,0]))

low = 81 high = 90 p = [] d = [] d = 1 d = 1 0 d = 1 0 0 d = 1 0 0 1 d = 1 0 0 1 0 d = 1 0 0 1 0 1 d = 1 0 0 1 0 1 0 d = 1 0 0 1 0 1 0 0 p = 10045 10292 10542 10795 11051 11310 11572 11837 d = 1 0 0 1 0 1 0 0

11   Pass
x1 = 100000; x2 = 110000; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[100492,101270,102051,102835,103622,104412,105205,106001,106800,107602,108407,109215])) assert(isequal(d,[0,1,0,1,0,0,1,0,1,0,0,1]))

low = 258 high = 271 p = [] d = [] d = 0 d = 0 1 d = 0 1 0 d = 0 1 0 1 d = 0 1 0 1 0 d = 0 1 0 1 0 0 d = 0 1 0 1 0 0 1 d = 0 1 0 1 0 0 1 0 d = 0 1 0 1 0 0 1 0 1 d = 0 1 0 1 0 0 1 0 1 0 d = 0 1 0 1 0 0 1 0 1 0 0 d = 0 1 0 1 0 0 1 0 1 0 0 1 p = 100492 101270 102051 102835 103622 104412 105205 106001 106800 107602 108407 109215 d = 0 1 0 1 0 0 1 0 1 0 0 1

12   Pass
x1 = 1000000; x2 = 1010101; [p,d] = pentagonal_numbers(x1,x2) assert(isequal(p,[1000825,1003277,1005732,1008190])) assert(isequal(d,[1,0,0,1]))

low = 816 high = 821 p = [] d = [] d = 1 d = 1 0 d = 1 0 0 d = 1 0 0 1 p = 1000825 1003277 1005732 1008190 d = 1 0 0 1