Cody

Problem 44360. Pentagonal Numbers

Solution 2085336

Submitted on 9 Jan 2020 by Benjamin Richards
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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]))

p = 1 5 12 22 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))

p = 1 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]))

p = 12 22 35 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]))

p = 12 22 35 51 70 92 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]))

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 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))

p = 1×0 empty double row vector d = 1×0 empty double row vector p = 1×0 empty double row vector d = 1×0 empty double row vector

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]))

p = 1001 1080 1162 1247 1335 1426 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]))

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 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]))

p = Columns 1 through 15 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 Columns 16 through 30 376 425 477 532 590 651 715 782 852 925 1001 1080 1162 1247 1335 Columns 31 through 44 1426 1520 1617 1717 1820 1926 2035 2147 2262 2380 2501 2625 2752 2882 d = Columns 1 through 30 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 Columns 31 through 44 0 1 0 0 1 0 1 0 0 1 0 1 0 0 p = Columns 1 through 15 1 5 12 22 35 51 70 92 117 145 176 210 247 287 330 Columns 16 through 30 376 425 477 532 590 651 715 782 852 925 1001 1080 1162 1247 1335 Columns 31 through 44 1426 1520 1617 1717 1820 1926 2035 2147 2262 2380 2501 2625 2752 2882 d = Columns 1 through 30 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 Columns 31 through 44 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]))

p = 10045 10292 10542 10795 11051 11310 11572 11837 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]))

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 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]))

p = 1000825 1003277 1005732 1008190 d = 1 0 0 1 p = 1000825 1003277 1005732 1008190 d = 1 0 0 1