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# Problem 3075. Matrix of Multiplication Facts

Solution 1215290

Submitted on 18 Jun 2017 by LY Cao
• Size: 34
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### Test Suite

Test Status Code Input and Output
1   Pass
x = [6 8 ; 15 20]; y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

ans = 6 2 8 3 0 4 15 5 20 y = 6 2 8 3 0 4 15 5 20

2   Pass
x=[35 42 ; 15 18]; y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

ans = 35 7 42 5 0 6 15 3 18 y = 35 7 42 5 0 6 15 3 18

3   Pass
x = [432 288 ; 288 192]; y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

ans = 432 144 288 3 0 2 288 96 192 y = 432 144 288 3 0 2 288 96 192

4   Pass
x = [21 63 ; 15 45]; y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

ans = 21 21 63 1 0 3 15 15 45 y = 21 21 63 1 0 3 15 15 45

5   Pass
x = [110 132 ; 130 156]; y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

ans = 110 22 132 5 0 6 130 26 156 y = 110 22 132 5 0 6 130 26 156

6   Pass
p=primes(1000); j=randperm(numel(p)); p=p(j(1:4)); x=[p(1)*p(2) p(1)*p(3) ; p(2)*p(4) p(3)*p(4)] y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4))) assert(size(y,1)==3); assert(size(y,2)==3);

x = 245213 20087 426373 34927 ans = 245213 379 20087 647 0 53 426373 659 34927 y = 245213 379 20087 647 0 53 426373 659 34927

7   Pass
p=primes(100000); p(p<50000)=[]; j=randperm(numel(p)); p=p(j(1:4)) x=[p(1)*p(2) p(1)*p(3) ; p(2)*p(4) p(3)*p(4)] y=factor_square(x) assert(all(y(:)==round(y(:)))) assert(isequal(y(2)*y(4),x(1))) assert(isequal(y(2)*y(6),x(2))) assert(isequal(y(4)*y(8),x(3))) assert(isequal(y(6)*y(8),x(4)))

p = 90187 94447 70853 83207 x = 1.0e+09 * 8.5179 6.3900 7.8587 5.8955 ans = 1.0e+09 * 8.5179 0.0001 6.3900 0.0001 0 0.0001 7.8587 0.0001 5.8955 y = 1.0e+09 * 8.5179 0.0001 6.3900 0.0001 0 0.0001 7.8587 0.0001 5.8955

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