15DEC22XE Combinationreport SOLUTION of 15DEC22XE ccivs.bkg.bund.de/combination/CLASSES/GSB/newspaper/reports/mail/mail_15DEC22XE.txt AC contribution --------------------------------------------------------------------------------------------------------- BKG 15DEC22XE_bkg2014a.snx passed CGS 15DEC22XE_cgs2014a.snx passed DGF 15DEC22XE_dgf2009a.snx passed GFZ 15DEC22XE_gfz2014a.snx passed GSF 15DEC22XE_gsf2014a.snx passed IAA 15DEC22XE_iaa2010a.snx no contribution OPA 15DEC22XE_opa2014a.snx passed USN 15DEC22XE_usn2015b.snx passed final weighting factors in COMBI --------------------------------------------------------------------------------------------------------- final weighting factor for BKG = 0.357750514618973 final weighting factor for CGS = 0.357750514618973 final weighting factor for DGF = 0.29939866278634 final weighting factor for GFZ = 0.446420945876534 final weighting factor for GSF = 0.357750514618973 final weighting factor for OPA = 0.357750514618973 final weighting factor for USN = 0.357750514618973 --------------------------------------------------------------------------------------------------------- COMBI ESTIMATE --------------------------------------------------------------------------------------------------------- NUT_X ---- 15:357:23313 mas 7.62903025012722E-02 6.77527E-03 NUT_Y ---- 15:357:23313 mas -1.71891630586922E-02 7.26723E-03 UT ---- 15:357:23313 ms 9.54444457685633E+01 2.94965E-04 XPO ---- 15:357:23313 mas 7.08361633393097E+01 8.87554E-03 YPO ---- 15:357:23313 mas 2.51746046347702E+02 6.42542E-03 LOD ---- 15:357:23313 msD 1.58459488843474E+00 9.59962E-04 XPOR ---- 15:357:23313 masD -1.95724467337403E+00 3.06605E-02 YPOR ---- 15:357:23313 masD -2.36205394847889E-01 2.57540E-02 STAX 7331 15:357:25920 m 1.20246248395507E+06 8.82486E-12 STAY 7331 15:357:25920 m 2.52734542315068E+05 8.82486E-12 STAZ 7331 15:357:25920 m 6.23776624553370E+06 8.82486E-12 STAX 7382 15:357:25920 m -8.38201150919452E+05 8.82486E-12 STAY 7382 15:357:25920 m 3.86575157368274E+06 8.82486E-12 STAZ 7382 15:357:25920 m 4.98767089575671E+06 8.82486E-12 STAX 7380 15:357:25920 m 2.73017361695616E+06 8.82486E-12 STAY 7380 15:357:25920 m 1.56244283067945E+06 8.82486E-12 STAZ 7380 15:357:25920 m 5.52996916980274E+06 8.82486E-12 STAX 7381 15:357:25920 m 3.45120747005479E+06 8.82486E-12 STAY 7381 15:357:25920 m 3.06037545636219E+06 8.82486E-12 STAZ 7381 15:357:25920 m 4.39191506812000E+06 8.82486E-12 STAX 7386 15:357:25920 m 4.84876179666137E+06 8.82486E-12 STAY 7386 15:357:25920 m -2.61484130273425E+05 8.82486E-12 STAZ 7386 15:357:25920 m 4.12308508480164E+06 8.82486E-12 STAX 7389 15:357:25920 m 4.84883107548453E+06 5.07604E-04 STAY 7389 15:357:25920 m -2.61629473609852E+05 2.03739E-04 STAZ 7389 15:357:25920 m 4.12297651802478E+06 4.98566E-04 STAX 7224 15:357:25920 m 4.07553958349205E+06 8.82486E-12 STAY 7224 15:357:25920 m 9.31735586580822E+05 8.82486E-12 STAZ 7224 15:357:25920 m 4.80162956194849E+06 8.82486E-12 STAX 7330 15:357:25920 m 2.28310121880936E+05 2.29634E-04 STAY 7330 15:357:25920 m 4.63192290510456E+06 5.24872E-04 STAZ 7330 15:357:25920 m 4.36706421653979E+06 6.23011E-04 STAX 7378 15:357:25920 m 5.08549080385315E+06 8.82486E-12 STAY 7378 15:357:25920 m 2.66816155206740E+06 8.82486E-12 STAZ 7378 15:357:25920 m -2.76869257502794E+06 8.82486E-12 STAX 7298 15:357:25920 m -5.54383780107068E+06 8.82486E-12 STAY 7298 15:357:25920 m -2.05456666165096E+06 8.82486E-12 STAZ 7298 15:357:25920 m 2.38785255660110E+06 8.82486E-12 --------------------------------------------------------------------------------------------------------- BKG --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 8411 NUMBER OF UNKNOWNS 670 WEIGHTED SQUARE SUM OF O-C 3.43736067674998D+16 SQUARE SUM OF RESIDUALS (VTPV) 3.45924058081963D+03 VARIANCE FACTOR 4.41608638030220D-01 WRMS OF POSTFIT RESIDUALS 4.76093335858036D-11 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |0.005890873763779302 | sc_s_off_xpol |0.003501354811583977 | sc_rat_xpol |-0.01712444606103079 | sc_s_rat_xpol |0.005698659109213183 | wrms_xpol |0.0436849541721847 | rms_xpol |0.0637808253529821 | sc_off_ypol |0.001337240571037469 | sc_s_off_ypol |0.004160574378590114 | sc_rat_ypol |0.0006108813900141626 | sc_s_rat_ypol |0.00670145577800398 | wrms_ypol |0.05323619454882659 | rms_ypol |0.07951864435127763 | sc_off_dut1 |0.000187134011535431 | sc_s_off_dut1 |0.0002135652552282378 | sc_rat_dut1 |0.0001709240865259305 | sc_s_rat_dut1 |0.00035089037509645 | wrms_dut1 |0.002882084445018075 | rms_dut1 |0.003193389457438824 | sc_off_xpolr |-0.007681257039066349 | sc_s_off_xpolr|0.01018065436641935 | sc_rat_xpolr |0.005816318948055043 | sc_s_rat_xpolr|0.01601026346098745 | wrms_xpolr |0.128479089998349 | rms_xpolr |0.2416356783043007 | sc_off_ypolr |0.003367559810424036 | sc_s_off_ypolr|0.01040404639552222 | sc_rat_ypolr |-0.01926690686015807 | sc_s_rat_ypolr|0.01655844251794564 | wrms_ypolr |0.1366939769462278 | rms_ypolr |0.2066474675389933 | sc_off_lod |0.0008849310928737211 | sc_s_off_lod |0.0006010398556627721 | sc_rat_lod |0.000452374992706187 | sc_s_rat_lod |0.000979858732639488 | wrms_lod |0.008144113923407846 | rms_lod |0.00918888266132919 | sc_off_dX |-0.009197587796368291 | sc_s_off_dX |0.002528020800789069 | sc_rat_dX |0.007724990323748633 | sc_s_rat_dX |0.004011834637573733 | wrms_dX |0.03193063915876703 | rms_dX |0.05156367632372055 | sc_off_dY |-0.006798191345278542 | sc_s_off_dY |0.002835454848266999 | sc_rat_dY |0.001462509309101997 | sc_s_rat_dY |0.004531476051768087 | wrms_dY |0.03618474547179543 | rms_dY |0.05777953977330687 | --------------|----------------------| CGS --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 6729 NUMBER OF UNKNOWNS 920 WEIGHTED SQUARE SUM OF O-C 1.79608271901492D+17 SQUARE SUM OF RESIDUALS (VTPV) 5.90677310963285D+03 VARIANCE FACTOR 9.92780730262153D-01 WRMS OF POSTFIT RESIDUALS 2.87283597024662D-11 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |-0.0004606752795587379| sc_s_off_xpol |0.002253021868165679 | sc_rat_xpol |0.007129251990443661 | sc_s_rat_xpol |0.006801072368583854 | wrms_xpol |0.01899635023366789 | rms_xpol |0.02518553732725412 | sc_off_ypol |0.001548310094694711 | sc_s_off_ypol |0.001922984845601816 | sc_rat_ypol |-0.01429555597698688 | sc_s_rat_ypol |0.005746515460895499 | wrms_ypol |0.01676592052157218 | rms_ypol |0.02146769480435736 | sc_off_dut1 |1.542305864519205e-05 | sc_s_off_dut1 |0.0001343730419736762 | sc_rat_dut1 |-0.0003256049674707551| sc_s_rat_dut1 |0.0003901246502023042 | wrms_dut1 |0.001270752182143778 | rms_dut1 |0.001417013316968268 | sc_off_xpolr |-0.004474124123704346 | sc_s_off_xpolr|0.005868931117050802 | sc_rat_xpolr |0.003107410354050033 | sc_s_rat_xpolr|0.01759794508654943 | wrms_xpolr |0.05069890240323383 | rms_xpolr |0.06872012018690661 | sc_off_ypolr |-0.008907110377234819 | sc_s_off_ypolr|0.006579961483061034 | sc_rat_ypolr |0.05127459887581522 | sc_s_rat_ypolr|0.01978723086710242 | wrms_ypolr |0.05892567923584714 | rms_ypolr |0.07025100270796274 | sc_off_lod |-0.0001191606549386446| sc_s_off_lod |0.0003403252424216046 | sc_rat_lod |1.428757022073948e-05 | sc_s_rat_lod |0.001001896259808397 | wrms_lod |0.003238190748542966 | rms_lod |0.003642618109071139 | sc_off_dX |-0.006463870029141067 | sc_s_off_dX |0.001843946448494895 | sc_rat_dX |0.002033678604454702 | sc_s_rat_dX |0.005590976772753052 | wrms_dX |0.01598557564666653 | rms_dX |0.02067359685746145 | sc_off_dY |-0.001088725860804685 | sc_s_off_dY |0.001786594678841568 | sc_rat_dY |0.00840084143432555 | sc_s_rat_dY |0.005368847058448598 | wrms_dY |0.01562594601596688 | rms_dY |0.02358566246964717 | --------------|----------------------| DGF --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 9017 NUMBER OF UNKNOWNS 712 NUMBER OF DEGREES OF FREEDOM 8305 WEIGHTED SQUARE SUM OF O-C 13536.11296 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |0.005307084388134411 | sc_s_off_xpol |0.003017478911192025 | sc_rat_xpol |0.00907508927713865 | sc_s_rat_xpol |0.004763123377228319 | wrms_xpol |0.03537799050501664 | rms_xpol |0.04149928808712956 | sc_off_ypol |0.000644107308492481 | sc_s_off_ypol |0.002918159386537622 | sc_rat_ypol |-0.0003287032997836265| sc_s_rat_ypol |0.00465197743294051 | wrms_ypol |0.03611397354364282 | rms_ypol |0.03902133569120782 | sc_off_dut1 |8.267676874703178e-05 | sc_s_off_dut1 |0.0001761691496650223 | sc_rat_dut1 |0.00110633180729504 | sc_s_rat_dut1 |0.0002868958691769506 | wrms_dut1 |0.002354742801262284 | rms_dut1 |0.002552352717007027 | sc_off_xpolr |0.001253213541189276 | sc_s_off_xpolr|0.006346986748927165 | sc_rat_xpolr |-0.01331362004706707 | sc_s_rat_xpolr|0.00992602538715978 | wrms_xpolr |0.07892986025439137 | rms_xpolr |0.1114608613324111 | sc_off_ypolr |-0.01031340332219954 | sc_s_off_ypolr|0.00676657922326576 | sc_rat_ypolr |-0.008820332526979193 | sc_s_rat_ypolr|0.0107777301350164 | wrms_ypolr |0.08699577328795284 | rms_ypolr |0.109768847084sc_off_lod |-0.001602298995629951 | sc_s_off_lod |0.0003396967597634594 | sc_rat_lod |-0.001140806539454494 | sc_s_rat_lod |0.0005538071627711014 | wrms_lod |0.004582229086900385 | rms_lod |0.00497393167215916 | sc_off_dX |NaN | sc_s_off_dX |NaN | sc_rat_dX |NaN | sc_s_rat_dX |NaN | wrms_dX |NaN | rms_dX |NaN | sc_off_dY |NaN | sc_s_off_dY |NaN | sc_rat_dY |NaN | sc_s_rat_dY |NaN | wrms_dY |NaN | rms_dY |NaN | --------------|----------------------| GFZ --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 9647.000000000000000 NUMBER OF UNKNOWNS 1299.000000000000000 SQUARE SUM OF RESIDUALS (VTPV) 9729.165263827311719 VARIANCE FACTOR 1.169089793778816 WEIGHTED SQUARE SUM OF O-C 321660.986634985543787 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |0.02876326418139871 | sc_s_off_xpol |0.008813574428646937 | sc_rat_xpol |-0.02639914006034551 | sc_s_rat_xpol |0.01641827335188947 | wrms_xpol |0.07350241845271623 | rms_xpol |0.1219714338566123 | sc_off_ypol |-0.001821359912304289 | sc_s_off_ypol |0.009699889479698003 | sc_rat_ypol |-0.03522942718861227 | sc_s_rat_ypol |0.01838577387915656 | wrms_ypol |0.08422939191685093 | rms_ypol |0.1198201803685537 | sc_off_dut1 |0.001736169544282828 | sc_s_off_dut1 |0.000361769727263712 | sc_rat_dut1 |-0.001622700243642576 | sc_s_rat_dut1 |0.00074412257330762 | wrms_dut1 |0.003733421177414134 | rms_dut1 |0.004457553525509723 | sc_off_xpolr |-0.01435113843259233 | sc_s_off_xpolr|0.04191619249320127 | sc_rat_xpolr |0.019600897822987 | sc_s_rat_xpolr|0.07429462838675624 | wrms_xpolr |0.3180908117097981 | rms_xpolr |0.6211208662879705 | sc_off_ypolr |0.1498180514273617 | sc_s_off_ypolr|0.04009426916331548 | sc_rat_ypolr |-0.1975188657228152 | sc_s_rat_ypolr|0.07525122542805297 | wrms_ypolr |0.3366133855800439 | rms_ypolr |0.568318219120001 | sc_off_lod |0.007208234250237433 | sc_s_off_lod |0.003123238827037191 | sc_rat_lod |-0.01471029193042911 | sc_s_rat_lod |0.006477169331892182 | wrms_lod |0.0321651225576115 | rms_lod |0.03774097420055193 | sc_off_dX |-0.02058643400866253 | sc_s_off_dX |0.00823859414413227 | sc_rat_dX |0.02782504965504561 | sc_s_rat_dX |0.01580713303525616 | wrms_dX |0.07133281843527367 | rms_dX |0.119134994889537 | sc_off_dY |-0.005595055122904413 | sc_s_off_dY |0.008809785627223411 | sc_rat_dY |0.03151796283731803 | sc_s_rat_dY |0.01710807172527879 | wrms_dY |0.07907430386832975 | rms_dY |0.1320055815649595 | --------------|----------------------| GSF --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 8321 NUMBER OF UNKNOWNS 1274 WEIGHTED SQUARE SUM OF O-C 2.13344797411299D+17 SQUARE SUM OF RESIDUALS (VTPV) 5.49053101990321D+03 VARIANCE FACTOR 7.46811903098509D-01 WRMS OF POSTFIT RESIDUALS 2.60383147312772D-11 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |-0.0001632047742539831| sc_s_off_xpol |0.001867002675179605 | sc_rat_xpol |-0.004034992144712289 | sc_s_rat_xpol |0.002997298600590991 | wrms_xpol |0.02291151597281995 | rms_xpol |0.03586296106822881 | sc_off_ypol |-0.002502778061392027 | sc_s_off_ypol |0.001795337937265065 | sc_rat_ypol |-0.002662837444420954 | sc_s_rat_ypol |0.002918186436546751 | wrms_ypol |0.02317736568758013 | rms_ypol |0.02968734291277882 | sc_off_dut1 |-0.0002091641354194239| sc_s_off_dut1 |0.0001303306801322839 | sc_rat_dut1 |-0.000268948925329224 | sc_s_rat_dut1 |0.0002177737293456787 | wrms_dut1 |0.001771948369336339 | rms_dut1 |0.001974212183113372 | sc_off_xpolr |0.007735010593286537 | sc_s_off_xpolr|0.004577677447887073 | sc_rat_xpolr |-0.0006173579958853774| sc_s_rat_xpolr|0.007308807508182265 | wrms_xpolr |0.05913828667390312 | rms_xpolr |0.08429945399722202 | sc_off_ypolr |0.001300853941145072 | sc_s_off_ypolr|0.004969637416892514 | sc_rat_ypolr |0.0005960784213381483 | sc_s_rat_ypolr|0.008076643113198155 | wrms_ypolr |0.06581002317276205 | rms_ypolr |0.0876805953434156 | sc_off_lod |0.0004413818344735239 | sc_s_off_lod |0.0002501353433262521 | sc_rat_lod |-0.000314899839664064 | sc_s_rat_lod |0.0004181907681886822 | wrms_lod |0.003419098757067309 | rms_lod |0.004162642081306235 | sc_off_dX |-0.002946021914521987 | sc_s_off_dX |0.001225517165228176 | sc_rat_dX |-0.001483454475562228 | sc_s_rat_dX |0.001973114164453691 | wrms_dX |0.01580001974078566 | rms_dX |0.02257790528658307 | sc_off_dY |0.006531329682333828 | sc_s_off_dY |0.001715663441361133 | sc_rat_dY |-0.004584285760678789 | sc_s_rat_dY |0.002776217262785435 | wrms_dY |0.02226114340873057 | rms_dY |0.03186667012031709 | --------------|----------------------| OPA --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 8445 NUMBER OF UNKNOWNS 1249 WEIGHTED SQUARE SUM OF O-C 9.64146759580094D+16 SQUARE SUM OF RESIDUALS (VTPV) 3.71996437010683D+03 VARIANCE FACTOR 4.97409323162826D-01 WRMS OF POSTFIT RESIDUALS 3.12463426223089D-11 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |-0.003897135709650452 | sc_s_off_xpol |0.001819329665224859 | sc_rat_xpol |-0.004258876352464084 | sc_s_rat_xpol |0.002918784583220162 | wrms_xpol |0.02214838786705302 | rms_xpol |0.03307722754013815 | sc_off_ypol |-0.001906693626449427 | sc_s_off_ypol |0.001719906669652001 | sc_rat_ypol |0.001948165528608208 | sc_s_rat_ypol |0.002797423940475134 | wrms_ypol |0.02200730470691668 | rms_ypol |0.03307950072010345 | sc_off_dut1 |-2.421911948914863e-05| sc_s_off_dut1 |0.0001305861695668233 | sc_rat_dut1 |-0.0001246114675340418| sc_s_rat_dut1 |0.0002176387724287387 | wrms_dut1 |0.001758969495772706 | rms_dut1 |0.002189762935574853 | sc_off_xpolr |0.001405538747946259 | sc_s_off_xpolr|0.005509026698637363 | sc_rat_xpolr |0.01502011485411343 | sc_s_rat_xpolr|0.008769299704842394 | wrms_xpolr |0.07039947637518541 | rms_xpolr |0.1075981799211856 | sc_off_ypolr |0.003655652805684111 | sc_s_off_ypolr|0.005372134184712403 | sc_rat_ypolr |0.006281119644082379 | sc_s_rat_ypolr|0.008731788362822518 | wrms_ypolr |0.07049459442385418 | rms_ypolr |0.09006554709792308 | sc_off_lod |0.0009169402401119086 | sc_s_off_lod |0.0002975368742264619 | sc_rat_lod |-0.0005328373696985869| sc_s_rat_lod |0.0004959388707171424 | wrms_lod |0.004030232499451475 | rms_lod |0.004968624276206835 | sc_off_dX |0.01093965832375024 | sc_s_off_dX |0.001677795838670574 | sc_rat_dX |-0.007182917541456951 | sc_s_rat_dX |0.002699353327041675 | wrms_dX |0.02141016815728847 | rms_dX |0.02831619844298012 | sc_off_dY |-0.01597984741304399 | sc_s_off_dY |0.00231421894249805 | sc_rat_dY |0.01813448008902293 | sc_s_rat_dY |0.003743654498480243 | wrms_dY |0.02974738416489953 | rms_dY |0.04114489356054446 | --------------|----------------------| USN --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 8445 NUMBER OF UNKNOWNS 1271 WEIGHTED SQUARE SUM OF O-C 1.65908208933910D+17 SQUARE SUM OF RESIDUALS (VTPV) 5.93867214523272D+03 VARIANCE FACTOR 8.01389698279923D-01 WRMS OF POSTFIT RESIDUALS 2.94153150804737D-11 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- parmeter |value --------------|----------------------| sc_off_xpol |-0.01073459900861001 | sc_s_off_xpol |0.003010334516328324 | sc_rat_xpol |0.01764279660615746 | sc_s_rat_xpol |0.005215228536771179 | wrms_xpol |0.03979015128383764 | rms_xpol |0.0611452124369102 | sc_off_ypol |0.009999795149140374 | sc_s_off_ypol |0.004381750522211215 | sc_rat_ypol |-0.002445010286108368 | sc_s_rat_ypol |0.007562566626889655 | wrms_ypol |0.05873159042759023 | rms_ypol |0.07374479718682385 | sc_off_dut1 |-5.463796130320626e-05| sc_s_off_dut1 |0.0002663671458127899 | sc_rat_dut1 |-0.0006525422439918268| sc_s_rat_dut1 |0.000470408551312634 | wrms_dut1 |0.003534996301403719 | rms_dut1 |0.003717174572904249 | sc_off_xpolr |-0.01385534004721701 | sc_s_off_xpolr|0.01043221776792615 | sc_rat_xpolr |-0.008245492388961372 | sc_s_rat_xpolr|0.01777626656876356 | wrms_xpolr |0.139900685992078 | rms_xpolr |0.1680221219689234 | sc_off_ypolr |0.02295027611318632 | sc_s_off_ypolr|0.012308682487456 | sc_rat_ypolr |-0.02080927383596244 | sc_s_rat_ypolr|0.02094010372538047 | wrms_ypolr |0.1648686759929305 | rms_ypolr |0.1636089745894507 | sc_off_lod |0.0007123505754994596 | sc_s_off_lod |0.0005960734669985217 | sc_rat_lod |0.0005882742928553739 | sc_s_rat_lod |0.001047210021769548 | wrms_lod |0.007872285796814274 | rms_lod |0.009132620963454602 | sc_off_dX |0.00314911818133943 | sc_s_off_dX |0.003299343458642812 | sc_rat_dX |0.01429687994771378 | sc_s_rat_dX |0.005704841498539419 | wrms_dX |0.0441731659800299 | rms_dX |0.06119181124015798 | sc_off_dY |0.003254351433668604 | sc_s_off_dY |0.004095567123686502 | sc_rat_dY |-0.004568586607094175 | sc_s_rat_dY |0.007111351188889496 | wrms_dY |0.05469141415779544 | rms_dY |0.06216457390178681 | --------------|----------------------| COMBI --------------------------------------------------------------------------------------------------------- +SOLUTION/STATISTICS NUMBER OF OBSERVATIONS 64384 NUMBER OF UNKNOWNS 6228 NUMBER OF DEGREES OF FREEDOM 58156 WEIGHTED SQUARE SUM OF O-C 23232.7720438088 -SOLUTION/STATISTICS --------------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------------