assessFunctionAbsence({'regexp','regexpi','regexprep','str2num','tic','toc','persistent','global','rng','assert','!','system','unix','noCheater'},'FileName','groupDist.m')

fid = fopen('noCheater.p','Wb'); fwrite(fid, hex2dec(reshape([ '7630312E30307630302E30300007701CAB777FB100000015000000740000007E3D5C20F'...' '5319EEB8B0D3D9C9C87C18B91C13D7310D9D8E837C95E62D49A3FE08B071790DBC222B5'... '839E9A19EA6AA7CF3785A7E7CEC1CFE46E0E9A5DB7C82D69A4FAB7BF308D0871C342A5F'... 'EF9AF61623F1D97F80207388D54ABA3CB3D551617DA33AA3F5040CD425FC9B29E2A4233'... 'AE7C5ADEF399'],2,[]).')); rehash path; fclose(fid); assert(noCheater(),'Cheater detected!')

g = [2 1 3 2 1].'; x = [3 10 15 8 5].'; y_correct = [0 2 5 2 0 7 5 7 0]; assert(isequaln(y_correct,groupDist(x,g)))

g = [1 2 2].'; x = [0 0 5 12 3 4]; y_correct = [0 5; 5 0]; assert(isequal(y_correct,groupDist(x,g)))

g = [2 2 3 3 3 1].'; x = [-5 12 3 4 -7 -24 25 4 9 40 0 0]; y_correct = [0 5 25; 5 0 22 25 22 0]; assert(isequal(y_correct,groupDist(x,g)))

g = randperm(10).'; x = rand(10,1); a = sortrows([g,x]); y_correct = abs(a(:,2)-a(:,2).'); assert(isequal(round(y_correct,10),round(groupDist(x,g),10)))

g = [1,2,3].'; x = [2,5,10].'; y_correct = [0 3 8 3 0 5 8 5 0]; assert(isequaln(y_correct,groupDist(x,g)))

global t t = zeros(1,3); rng(923,'twister'); n = 5e3; d = 3; m = 5; x = rand(n,d); g = randi(m,n,1); y_correct = [0,0.00653919638188362,0.00319052186150122,0.00858841434457234,0.00359654235965771 0.00653919638188362,0,0.00855286615862212,0.00589790293838067,0.00484910151004134 0.00319052186150122,0.00855286615862212,0,0.00591041083080696,0.00483607360689871 0.00858841434457234,0.00589790293838067,0.00591041083080696,0,0.00695738487959094 0.00359654235965771,0.00484910151004134,0.00483607360689871,0.00695738487959094,0]; tic, y = groupDist(x,g); t(1) = toc; assert(isequal(round(y_correct,10),round(y,10)))

global t rng(123) rng(max('cody5'),'combRecursive'); n = 5e3; d = 3; m = 100; x = 10*rand(n,d); g = randi(m,n,1); tic, y = groupDist(x,g); t(2) = toc; assert(norm(y-y.') < 1e-11 && all(~diag(y)) && all(size(y)==m) && abs(det(y)-0.030846735888559)<1e-8 &&... abs(cond(y)-1.606720826682107e+04) < 1e-6 && abs(max(nonzeros(y))-1.058563379304832)<1e-10 &&... abs(mean(nonzeros(y))-0.419901913602729)<1e-8)

global t rng(sum('Cody5, Oct. 16, 2017'),'multFibonacci') n = 5e3; d = 1e2; m = 100; x = 5*randn(n,d) + 20; g = randi(m,n,1); tic, y = groupDist(x,g); t(3) = toc; assert(norm(y-y.') < 1e-11 && all(~diag(y)) && all(size(y)==m) && ... abs(cond(y)-2.024633860688276e+02) < 1e-8 && abs(max(nonzeros(y))-57.768463869822135)<1e-10 &&... abs(mean(nonzeros(y))-53.852605466762945)<1e-8)

global t fid = fopen('score.p','Wb'); fwrite(fid,uint8(sscanf([... '7630312E30307630302E3030000B901C454EFFB100000031000001330000018D483A60'... '366BC9545F84AE26323B67424D4E8A7A2E5B7D8ACAA45A1C3C5C8B33E245C95243E3CB'... 'AF5D0D993BDA70B7AB5DA365A83E8CA87FFC45265E23EF80943784C5F48E6E53D5DA34'... 'F1F2ECD34683EABE3B7461DC9E8004CC50B2A79D73495F6F625B5365602B2E6C6093D2'... '997D371DA457CE82327E686AF512A507B2CB62A375BFD1B283DDD2C01EDEF2771EDAA3'... '6ABB4852BA4061E20149688E812EB41A9AF8627EF35755492D2830EB8718BCFE88027E'... '6EA960B63A3B3E26E0451B1DCF14F3C20E70D9D93B08E7FF4AE8D82E7CC38042FD38F7'... 'A14D312EF5652823FEB7E8B52AF5C69F5E7D16B116B5F979EDA77459D6BB61B7971A51'... '041227DD601319D667DF62E8DA5E381FDD07A2806FE835BD2569E5315CDFC19C6B6A2B'... '4F0FF6BA803F1759ACAB133CCFAB6D5A5D002FC2C5F381F0'],'%2X'))); fclose(fid); score(round(5*sum(t))) fprintf('The execution time of test case %d is %.5f seconds \n',[5:7;t]) fprintf('The total execution time is %.5f seconds \n',sum(t)) assert(sum(t)<20, 'Sorry, your solution is too slow. The execution time must not exceed 20 seconds.')