Input: 0.016673693 0.004954943 0.004333764 0.004005059 0.004225074 0.0040017655 0.003923377 0.0043897554 0.0045735403 0.0038127108 0.0038957105 0.0041460264 0.004046559 0.004176328 0.0036328784 0.0045485087 0.004231002 0.0039635594 0.0037718697 0.0036849177 0.0039694877 0.004193455 0.003814687 0.003792949 0.0038937342 0.00387002 0.0038805597 0.0038469646 0.0037619888 0.0038805597 0.003865409 0.0037613302 0.0042428593 0.0038015125 0.0038232505 0.0038976865 0.004166447 0.003742227 0.003771211 0.0037165366 0.0038515758 0.003814687 0.003998472 0.0038548694 0.0037916314 0.003667791 0.0039629005 0.0037633062 0.003899004 0.0037244414 0.0037705523 0.004072908 0.0038416947 0.003701386 0.003792949 0.003790314 0.003817322 0.003689529 0.0038443296 0.003964218 0.0037507904 0.0037007271 0.0037883378 0.0036888702 0.0037804332 0.0038324725 0.003775822 0.0039260117 0.0039997892 0.00402021 0.0038970278 0.0038910992 0.0038733135 0.003816663 0.00394248 0.003715878 0.0039477497 0.0038304965 0.0038153457 0.003708632 0.0042817243 0.0039866148 0.0041321935 0.0039240355 0.004063686 0.0038443296 0.003992543 0.003918107 0.003846306 0.0037771396 0.0038133694 0.003742227 0.003790314 0.0037962426 0.003918107 0.0038206156 0.0037725284 0.00404063 0.0038258852 0.0038535518 0.003916131 0.004149979 0.0039648768 0.0039003214 0.00402548 0.0040518288 0.004092011 0.0037896554 0.0039991303 0.003775822 0.0038891232 0.003982004 0.003858163 0.0037053383 0.0039128372 0.0039470913 0.004321248 0.0040070354 0.0040169163 0.0037896554 0.003776481 0.003619704 0.0036684496 0.0037633062 0.0038034886 0.0037442031 0.0036888702 0.0036368307 0.004063686 0.0038311551 0.0037652825 0.004203336 0.003988591 0.0040788366 0.003824568 0.003819298 0.00390098 0.0040491936 0.0039240355 0.0044503585 0.0037837268 0.004053146 0.003659886 0.0037389335 0.0038726549 0.003843671 0.0036875526 0.0036177277 0.003778457 0.0039484086 0.0036532988 0.00369414 0.0038515758 0.0036368307 0.0037883378 0.0037481557 0.003781092 0.0038416947 0.0036737195 0.0037725284 0.0036974335 0.0037936077 0.003945115 0.003756719 0.003838401 0.0038443296 0.0037257588 0.0037804332 0.0039102025 0.0038015125 0.003812052 0.0037270763 0.003775822 0.0036427593 0.0037290524 0.0037606715 0.0037824092 0.003684259 0.0037804332 0.0038970278 0.0037725284 0.003733005 0.0037751633 0.003723124 0.003877266 0.0037020447 0.0037692348 0.003684259 0.0036763544 0.0036592274 0.0037435445 0.0037600126 0.004085424 0.0038864883 0.0038522345 0.0039253533 0.0039220597 0.003798219 0.0037534253 0.003794925 0.0038509169 0.003771211 0.0037165366 0.0037198304 0.004005059 0.0037501317 0.003841036 0.0036519815 0.003684259 0.0038805597 0.0037481557 0.003778457 0.0037883378 0.003701386 0.0037053383 0.003698751 0.0038272028 0.0037909728 0.0037534253 0.0036565925 0.0037501317 0.003665156 0.003715878 0.0036743782 0.0038054648 0.0038153457 0.0037995363 0.0037488143 0.0038087585 0.0036901876 0.003677013 0.003756719 0.0041097966 0.0037876791 0.0036447356 0.003879242 0.0039358926 0.0036671322 0.0036750368 0.003672402 0.0038331314 0.0036750368 0.0037534253 0.0038067822 0.0038074409 0.0037362985 0.0037962426 0.0036875526 0.0038647503 0.0037455207 0.003759354 0.0036493465 0.00383379 0.0037554016 0.0039042737 0.0049523083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001297028 2.3408487e-05 3.956364e-06 1.318788e-06 1.318788e-06 1.318788e-06 3.29697e-06 1.318788e-06 6.59394e-07 0.0 0.0 3.29697e-07 1.1209698e-05 0.0 0.0 5.275152e-06 0.0043180417 5.077334e-05 5.4729702e-05 4.38497e-05 1.2528486e-05 1.7803637e-05 4.253091e-05 1.9781819e-05 3.6926063e-05 1.7803637e-05 2.5716367e-05 2.1430305e-05 1.9452124e-05 1.4836365e-05 1.318788e-06 2.9013336e-05 0.0005815855 5.604849e-06 3.29697e-06 2.307879e-06 3.3629094e-05 2.0441214e-05 4.615758e-06 5.604849e-06 5.275152e-06 0.0 9.89091e-07 9.89091e-07 2.307879e-06 3.29697e-07 3.626667e-06 4.615758e-06 0.0005713649 7.253334e-06 4.615758e-06 2.307879e-05 1.318788e-06 1.978182e-06 2.3738183e-05 9.89091e-07 4.9454547e-06 9.89091e-07 6.59394e-07 6.59394e-07 6.923637e-06 1.318788e-05 8.242425e-06 5.275152e-06 0.0005377358 8.572122e-06 8.572122e-06 4.615758e-06 1.0220607e-05 7.912728e-06 1.318788e-05 7.253334e-06 4.615758e-06 4.516849e-05 3.956364e-06 4.615758e-06 3.956364e-06 2.9672728e-06 6.264243e-06 5.604849e-06 0.0005093819 1.0550304e-05 1.4836365e-05 4.286061e-06 3.7915153e-05 2.1100608e-05 1.4506668e-05 6.59394e-06 7.253334e-06 1.318788e-06 1.978182e-06 1.1209698e-05 1.3517577e-05 9.89091e-07 1.1869091e-05 7.912728e-06 0.0022112778 9.231516e-06 0.00033629095 3.165091e-05 6.363152e-05 4.352e-05 0.00082786917 0.00044278306 2.3408487e-05 3.626667e-06 2.637576e-06 1.7144244e-05 1.7144244e-05 3.626667e-06 9.8909095e-06 7.5830308e-06 0.0008005043 2.9672728e-06 7.385213e-05 2.6046062e-05 3.2310305e-05 3.198061e-05 0.00021331395 0.000101216974 1.7473942e-05 3.29697e-07 9.89091e-07 3.29697e-06 8.901819e-06 0.0 5.275152e-06 3.198061e-05 0.0012601019 2.8024244e-05 5.0113944e-05 8.110546e-05 0.0001978182 0.00010385455 0.00046652125 0.00024034911 7.3192736e-05 4.6816975e-05 7.5830308e-06 2.3408487e-05 1.8792729e-05 7.5830308e-06 1.4506668e-05 8.110546e-05 0.00074115884 1.7803637e-05 0.000101216974 5.5059398e-05 0.00011902062 5.7696972e-05 0.00045168487 0.000253537 6.000485e-05 3.2640004e-05 8.572122e-06 2.4397577e-05 1.2858183e-05 1.2528486e-05 1.0550304e-05 6.692849e-05 0.0003310158 1.3517577e-05 2.9013336e-05 2.3408487e-05 3.0332123e-05 2.6705457e-05 8.506182e-05 4.4179396e-05 8.901819e-06 1.088e-05 1.0220607e-05 1.2858183e-05 6.59394e-06 1.5495758e-05 1.2858183e-05 1.4176971e-05 0.00061917095 7.3192736e-05 8.901819e-05 5.1103034e-05 0.00010517334 0.00019188365 9.660122e-05 8.473213e-05 0.00025122912 1.3847274e-05 1.5825455e-05 4.352e-05 0.00018232244 2.7364851e-05 5.1103034e-05 0.00012957092 0.0045419056 0.0009956849 0.00068642915 0.0005931249 0.0006603831 0.0013985747 0.00071775034 0.0008005043 0.0020948946 0.00017869577 0.00023968972 0.00037981092 0.0011295419 0.0003076073 0.000634337 0.0015215516 0.00088128005 0.00027068122 0.00013814303 0.00019221335 0.00014506668 0.00029507882 0.00020309335 0.00025551516 0.00038080002 8.011637e-05 8.506182e-05 0.0001645188 0.0002400194 0.00015133093 0.00020507153 0.00036332608 0.059663616 0.060721945 0.060319714 0.059756592 0.060140688 0.060405433 0.05987495 0.059033565 0.06022773 0.059815276 0.060197394 0.059370186 0.059711423 0.059321392 0.059555475 0.05934579 7183.0 6.0225534 43260.0 0.010610264 0.00952381 0.009315765 0.009408229 0.010448451 0.010171059 0.0088303285 0.009177069 0.009801202 0.00975497 0.010309755 0.008599168 0.009708738 0.00952381 0.011003236 0.009038373 0.010448451 0.009223301 0.00899214 0.010610264 0.009292649 0.009477577 0.010240407 0.008714748 0.009685622 0.00887656 0.009616273 0.012390199 0.009870551 0.009338881 0.00975497 0.00829866 0.008853444 0.013453537 0.0099861305 0.011858529 0.014956079 0.011719833 0.010633379 0.01197411 0.009616273 0.011211281 0.008969025 0.009292649 0.011072584 0.009338881 0.011303745 0.009963014 0.011696718 0.011349977 0.011581137 0.011280629 0.011581137 0.009546925 0.0099861305 0.009916782 0.010055479 0.008807212 0.009246417 0.009385114 0.009061488 0.009361997 0.009246417 0.008853444 0.009477577 0.012182155 0.010309755 0.011558021 0.011326861 0.01694406 0.010448451 0.014701803 0.010240407 0.012621359 0.009847434 0.009454462 0.014285714 0.010494683 0.0117429495 0.012505779 0.0099861305 0.008691632 0.013014332 0.011881646 0.015002311 0.01021729 0.015742024 0.010032362 0.009223301 0.008576051 0.009893666 0.010055479 0.008437356 0.008853444 0.008899677 0.008136847 6.5670342 1.0 0.0 0.0 23.0 1518080.0 1527808.0 1.0 0.0 122.0 0.0 1.0 0.0 0.0 10.0 907593150.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 5.0 12.0 5.0 0.0 4.0 0.0 36864.0 1536.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 1478656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.099097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527582 0.0 7.9914327 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36710.0 0.0 1478656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 38004.0 1478192.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.5422363 0.0052490234 0.0018920898 0.002380371 0.0025634766 0.0006713867 0.0010070801 0.003967285 0.008972168 0.00088500977 0.01184082 0.0005187988 0.0017089844 0.0008544922 0.00076293945 0.001953125 0.005554199 0.0045166016 0.00064086914 0.00061035156 0.036865234 0.0018615723 0.0010986328 0.000579834 0.0005493164 0.00039672852 0.0004272461 0.00039672852 0.0010070801 0.0039367676 0.000579834 0.0016784668 0.002166748 0.000579834 0.0010375977 0.001159668 0.0010375977 0.0025634766 0.00033569336 0.00045776367 0.0014343262 0.0010681152 0.00088500977 0.0005187988 0.0015258789 0.0012512207 0.0012207031 0.0007324219 0.0011291504 0.0013427734 0.00088500977 0.014190674 0.0012512207 0.00091552734 0.0008544922 0.0005187988 0.0008239746 0.0009765625 0.0009765625 0.00076293945 0.0010375977 0.00088500977 0.0009460449 0.0015258789 0.009857178 0.0007019043 0.0014648438 0.0016479492 0.0009460449 0.002960205 0.0010986328 0.0004272461 0.00076293945 0.0011291504 0.00033569336 0.00048828125 0.00088500977 0.002960205 0.00079345703 0.00064086914 0.0027770996 0.0011901855 0.0014343262 0.0014343262 0.00076293945 0.001739502 0.0018920898 0.00076293945 0.000579834 0.00039672852 0.00030517578 0.00061035156 0.00091552734 0.00079345703 0.00079345703 0.0045776367 0.0007019043 0.0032043457 0.0017089844 0.0013427734 0.002166748 0.003479004 0.01473999 0.00061035156 0.001953125 0.0018005371 0.0016174316 0.00048828125 0.0016479492 0.0012512207 0.0018005371 0.0023498535 0.003692627 0.00039672852 0.0032348633 0.0012512207 0.0026855469 0.0017089844 0.001953125 0.0049743652 0.0007019043 0.00079345703 0.00036621094 0.000579834 0.00064086914 0.0020751953 0.000579834 0.0017700195 0.006713867 0.00048828125 0.00036621094 0.0012817383 0.0004272461 0.0004272461 0.0008544922 0.00024414062 0.0035705566 0.0024414062 0.00061035156 0.0039367676 0.00033569336 0.004211426 0.00061035156 0.0010986328 0.0021362305 0.0004272461 0.00045776367 0.00064086914 0.000579834 0.0002746582 0.00091552734 0.00030517578 0.00039672852 0.023284912 0.0005187988 0.00045776367 0.00039672852 0.0004272461 0.00061035156 0.00036621094 0.0012512207 0.0008239746 0.0005493164 0.0026245117 0.00079345703 0.00039672852 0.000579834 0.00048828125 0.0006713867 0.00048828125 0.0007324219 0.00030517578 0.00045776367 0.0008544922 0.0005493164 0.0005493164 0.0009460449 0.00039672852 0.0008239746 0.00033569336 0.0007019043 0.000579834 0.00033569336 0.00061035156 0.000579834 0.00045776367 0.00064086914 0.0025939941 0.00079345703 0.0004272461 0.00039672852 0.0005493164 0.0033874512 0.0007019043 0.00048828125 0.0009460449 0.00076293945 0.00045776367 0.0007019043 0.0012512207 0.0008239746 0.00048828125 0.000579834 0.00079345703 0.014984131 0.00045776367 0.00033569336 0.0004272461 0.0017700195 0.00048828125 0.0004272461 0.0009460449 0.0014038086 0.0002746582 0.0012207031 0.0011291504 0.0018615723 0.00036621094 0.0005493164 0.000579834 0.0014343262 0.0043945312 0.00039672852 0.0007324219 0.002532959 0.0004272461 0.000579834 0.00076293945 0.00088500977 0.00048828125 0.0004272461 0.0019226074 0.0018920898 0.00079345703 0.0008544922 0.0008544922 0.0014343262 0.0005493164 0.00036621094 0.0006713867 0.0020751953 0.0007019043 0.00039672852 0.00048828125 0.0005187988 0.00036621094 0.00064086914 0.0010375977 0.0030822754 0.0004272461 0.00039672852 0.0004272461 0.0021362305 0.0007324219 0.0016174316 0.02935791 0.25653666 6.300403e-05 0.00012600806 0.0002205141 0.00023626511 9.4506046e-05 0.00037802418 0.00015751008 4.7253023e-05 0.0 0.0 0.0 3.1502015e-05 0.0 4.7253023e-05 0.00012600806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027264996 9.4506046e-05 0.0002205141 0.0005985383 0.00069304433 0.0003937752 0.0015593498 0.0005827873 0.0004095262 3.1502015e-05 6.300403e-05 0.0002047631 3.1502015e-05 1.5751008e-05 6.300403e-05 3.1502015e-05 0.024193548 0.0 0.0 0.00031502015 0.00092930946 0.0016696069 0.0034337197 0.0017168599 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02236643 0.002236643 0.00037802418 0.00048828125 4.7253023e-05 4.7253023e-05 0.0005355343 0.0005355343 0.00075604836 0.0011025706 0.00012600806 4.7253023e-05 0.0011498235 0.00033077117 0.00031502015 0.001795615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.037408642 0.00083480345 0.0018271169 0.0031344506 0.0032132056 0.0011813256 0.0054340977 0.001905872 0.0010080645 0.0018586189 0.0008190524 0.0006142893 0.0021736391 0.00037802418 0.00045677923 0.002268145 0.030367944 0.009466356 0.0010868196 0.001984627 0.0012443296 0.0004095262 0.002220892 0.0023311493 0.001905872 0.0033077118 0.00075604836 0.00064579136 0.0013545867 0.0014175908 0.00085055444 0.005166331 0.11983367 0.03732989 0.0042212703 0.01312059 0.004583543 0.0037172379 0.015262727 0.00984438 0.009812878 0.019027218 0.0028036793 0.0024571572 0.013703377 0.0066154236 0.004000756 0.023988785 0.028021043 0.002000378 0.0024256553 0.0021736391 0.004111013 0.0029611895 0.0042055193 0.0032604586 0.002220892 0.0013703377 0.0017168599 0.0016538559 0.0021263862 0.0015593498 0.002047631 0.0026619204 0.017672632 0.003969254 0.00092930946 0.0010553176 0.0066154236 0.005764869 0.003575479 0.0027406754 0.0073084678 0.0014018397 0.0005512853 0.0006300403 0.0025989164 0.0029296875 0.0026934224 0.004079511 0.008584299 0.0023469003 0.0025201612 0.0023311493 0.0022051411 0.0012915827 0.0014490928 0.0011498235 0.0013230847 0.0011655746 0.0013388357 0.0011655746 0.0010868196 0.0012285786 0.0012285786 0.0018428679 0.004520539 0.004048009 0.004473286 0.004441784 0.003843246 0.003985005 0.0036542339 0.003811744 0.0035124747 0.003811744 0.0041740173 0.004032258 0.0041582664 0.004032258 0.0041897683 0.003827495 105.0 11.314285 1188.0 0.009259259 0.0042087543 0.0008417508 0.0008417508 0.0 0.0042087543 0.0016835016 0.0008417508 0.0025252525 0.0 0.0 0.0016835016 0.0025252525 0.0008417508 0.008417509 0.0 0.0016835016 0.01010101 0.009259259 0.008417509 0.0042087543 0.0008417508 0.007575758 0.0008417508 0.0016835016 0.0033670033 0.0016835016 0.0008417508 0.0016835016 0.0008417508 0.0008417508 0.0 0.0016835016 0.007575758 0.008417509 0.015993265 0.007575758 0.013468013 0.013468013 0.0025252525 0.0025252525 0.015151516 0.0008417508 0.0033670033 0.011784512 0.0042087543 0.008417509 0.007575758 0.0067340066 0.0008417508 0.0025252525 0.021885522 0.009259259 0.0042087543 0.012626262 0.0008417508 0.005050505 0.0008417508 0.0025252525 0.0025252525 0.0033670033 0.0008417508 0.0008417508 0.1026936 0.0 0.06397306 0.034511786 0.016835017 0.031144781 0.056397308 0.015993265 0.0025252525 0.005892256 0.028619528 0.022727273 0.0067340066 0.023569023 0.021043772 0.022727273 0.03787879 0.014309764 0.0016835016 0.06397306 0.018518519 0.042087544 0.010942761 0.04292929 0.005892256 0.0033670033 0.0042087543 0.0025252525 0.0016835016 0.0025252525 0.0 0.0 0.0008417508 5.426387 1.0 0.0 0.0 1.0 32768.0 32768.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1133119200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 17169.0 1024.0 4096.0 3.0 0.0 1.0 2.0 2.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10296095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.088343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.516633 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 309.0 15028.0 6272.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.13839722 0.012680054 0.012329102 0.013626099 0.011077881 0.0043945312 0.0035247803 0.0027618408 0.012023926 0.001373291 0.0022125244 0.002456665 0.008621216 0.0007171631 0.0009918213 0.026321411 0.01776123 0.0019226074 0.00045776367 0.0010223389 0.0026855469 0.0016784668 0.0006713867 0.0005340576 0.0029296875 0.000579834 0.0006713867 0.0010070801 0.0037384033 0.0013122559 0.00024414062 0.0021514893 0.006286621 0.00035095215 0.000289917 0.0007171631 0.0104522705 0.0005950928 0.00021362305 0.00019836426 0.0035247803 0.0024414062 0.0005187988 0.0031738281 0.0005950928 0.0004119873 0.00021362305 0.00016784668 0.0025024414 0.00045776367 0.0023651123 0.008407593 0.0008544922 0.000289917 0.0002746582 0.00044250488 0.0008544922 0.002456665 0.0004272461 0.0076293945 0.0011444092 0.0011444092 0.00038146973 0.0004119873 0.004852295 0.004058838 0.00062561035 0.0021362305 0.0018005371 0.008575439 0.0066223145 0.005279541 0.0026855469 0.0012359619 0.0005950928 0.0009613037 0.0020751953 0.00642395 0.0038452148 0.00093078613 0.005432129 0.0037994385 0.0024414062 0.0032196045 0.0014038086 0.0048828125 0.00592041 0.0041046143 0.0009918213 0.0007171631 0.00018310547 0.004562378 0.00090026855 0.0073394775 0.0066070557 0.0048828125 0.0012359619 0.00077819824 0.00015258789 0.00019836426 0.0012207031 0.0002593994 0.010437012 0.00032043457 0.001083374 0.0014038086 0.00065612793 0.0009918213 0.0014648438 0.0005187988 0.0002746582 0.0028533936 0.0010986328 0.0004119873 0.0019378662 0.002166748 0.0076141357 0.0070343018 0.00079345703 0.0006713867 0.0016326904 0.0011444092 0.00018310547 0.00093078613 0.001739502 0.0040740967 0.005065918 0.0029754639 0.002090454 0.0017852783 0.00032043457 0.020309448 0.0035858154 0.01399231 0.00730896 0.0010681152 0.0059509277 0.029754639 0.006576538 0.05241394 0.0019226074 0.014160156 0.007858276 0.0009918213 0.0013275146 0.00021362305 0.00015258789 0.0005645752 0.0009613037 0.002243042 0.002090454 0.00032043457 0.00038146973 0.0010375977 0.00019836426 0.00047302246 0.00047302246 0.0016174316 0.0014953613 0.0001373291 0.0007324219 0.00088500977 0.00012207031 0.00030517578 0.0012512207 1.5258789e-05 4.5776367e-05 0.00012207031 0.015457153 0.00010681152 0.00030517578 7.6293945e-05 0.0071105957 7.6293945e-05 9.1552734e-05 0.0020446777 0.002105713 0.00015258789 0.00018310547 0.000869751 0.0017852783 0.000579834 0.004699707 0.0010528564 0.002746582 0.00044250488 0.00036621094 0.00038146973 0.001373291 0.001876831 0.0023345947 0.000579834 0.013427734 0.006881714 0.0028686523 0.007537842 0.006958008 0.00050354004 0.0033416748 0.006515503 0.0029449463 0.0030059814 0.0015411377 0.0012969971 0.015487671 0.0016937256 0.00062561035 0.0007324219 0.0032958984 0.001953125 0.0032958984 0.0019073486 0.0011444092 0.00019836426 0.000869751 0.000869751 0.00340271 0.0021514893 0.00076293945 0.0022888184 0.0016937256 0.00039672852 0.00047302246 0.0005645752 0.0027618408 0.00091552734 0.0011444092 0.00033569336 0.0016479492 0.004180908 0.00061035156 0.00044250488 0.009536743 0.0021514893 0.0010528564 0.008483887 0.003692627 0.00018310547 0.000579834 0.0005187988 0.0032043457 0.00088500977 0.0008239746 0.0014953613 0.0022583008 0.00077819824 0.0025634766 0.002243042 0.0069885254 0.0032043457 0.0022735596 0.0072784424 0.0050964355 0.0012817383 0.004699707 0.055511475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074094743 0.0006122892 0.00025576638 0.00022476439 0.00069754466 0.0013098338 0.0004185268 0.00047278026 0.0012788319 0.00010075645 0.00013950893 0.00022476439 0.0017438616 0.00017826141 0.00034102183 0.00046502976 0.009044829 0.0006122892 0.0016973587 0.00081380206 0.0013795883 0.00089905754 0.0045030382 0.0012710814 0.0035729788 0.00050378224 0.0003875248 0.00045727927 0.0013718378 0.00051928323 0.00068204367 0.004030258 0.21459574 0.03374566 0.025514632 0.025987413 0.045425657 0.04906064 0.017562624 0.033675905 0.15039062 0.011540488 0.026312934 0.01923673 0.06391834 0.022127666 0.0327691 0.085278705 0.019097222 0.004565042 0.002797929 0.0031932043 0.0056191096 0.0061771455 0.0014028398 0.0041155135 0.01591177 0.0015423488 0.0019608755 0.0016586061 0.008928572 0.0025034102 0.0045727924 0.011191716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 5.5694447 802.0 0.07481297 0.0012468828 0.0 0.0 0.09102245 0.0024937657 0.0 0.0 0.0 0.0 0.0 0.0024937657 0.0 0.0 0.0074812965 0.0 0.018703243 0.0 0.0 0.0049875313 0.0 0.0012468828 0.0 0.0 0.0024937657 0.056109726 0.0 0.0024937657 0.0012468828 0.009975063 0.0024937657 0.0 0.019950125 0.0037406483 0.0037406483 0.006234414 0.017456358 0.006234414 0.0 0.0137157105 0.0024937657 0.0049875313 0.0024937657 0.0012468828 0.023690773 0.0012468828 0.008728179 0.0037406483 0.027431421 0.008728179 0.008728179 0.017456358 0.021197008 0.0049875313 0.014962593 0.0074812965 0.0049875313 0.006234414 0.0 0.0024937657 0.0024937657 0.0049875313 0.047381546 0.008728179 0.019950125 0.008728179 0.0012468828 0.0049875313 0.006234414 0.0049875313 0.097256854 0.0024937657 0.0037406483 0.0049875313 0.0 0.0 0.0024937657 0.0024937657 0.0049875313 0.051122196 0.0137157105 0.0 0.026184538 0.0024937657 0.057356607 0.008728179 0.0 0.0 0.0012468828 0.0 0.0 0.006234414 0.03241895 0.0 0.0037406483 0.04488778 5.120289 0.0 0.0 0.0 1.0 65536.0 253952.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1516611500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 169472.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -169472.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4997573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32644.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -169083.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3380.0 205392.0 120.0 202600.0 436.0 241664.0 0.0 0.0 16536.0 242176.0 6088.0 245760.0 28.0 176576.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 196504.0 0.0 0.0 420.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.23499645 0.016213156 0.007718173 0.0046275747 0.007684881 0.005515359 0.0029962712 0.0024636008 0.0076404917 0.0017034357 0.0031238904 0.0013150302 0.006508567 0.0045609907 0.0017145331 0.011197177 0.0056929155 0.0013871626 0.0011929598 0.00092662463 0.0037841797 0.004189231 0.0011097301 0.0009821112 0.0034401633 0.00079345703 0.00084894354 0.00082120026 0.002557928 0.0022361062 0.0008045543 0.0012650923 0.009349477 0.000588157 0.0008433949 0.0007601651 0.016951127 0.0030073687 0.0013705167 0.0005382191 0.0026689009 0.00097101385 0.0009821112 0.0032459607 0.0017089844 0.0028520063 0.0010764382 0.001032049 0.0027410334 0.001287287 0.0021473279 0.002924139 0.0017755682 0.0012040571 0.0009099787 0.00097101385 0.0022915928 0.001253995 0.002125133 0.002574574 0.0016257546 0.002319336 0.0010154031 0.0004827326 0.004339045 0.015231046 0.020546652 0.002114036 0.012179288 0.004322399 0.0031849255 0.0035899768 0.0023581765 0.004000577 0.0014648438 0.0010154031 0.005032626 0.002352628 0.0035677822 0.0038174717 0.01286732 0.0064586294 0.006891424 0.006175648 0.005903764 0.0064863726 0.006686124 0.0047718394 0.0038119229 0.00160356 0.0006048029 0.0025190874 0.0012595437 0.004633123 0.0056984643 0.005021529 0.0011374734 0.0048217773 0.0012318004 0.0025912197 0.0045498936 0.008850098 0.0040560635 0.0031238904 0.005887118 0.0045110527 0.0097489795 0.0007601651 0.005903764 0.0027021929 0.0072853784 0.0053599966 0.00230269 0.0005271218 0.0038452148 0.0034845525 0.012734153 0.00592041 0.001475941 0.0014260032 0.0017422762 0.0012262518 0.00092662463 0.0006602894 0.00271329 0.0015147816 0.001459295 0.00082120026 0.004671964 0.0011707653 0.0005160245 0.016107732 0.0041670366 0.004588734 0.0015869141 0.00067693536 0.003112793 0.0062311348 0.0025301846 0.020579945 0.0015536222 0.0064086914 0.0010708895 0.0005493164 0.00081010297 0.00035511365 0.0006269975 0.00035511365 0.0010043058 0.0008322976 0.0008655895 0.00041060013 0.0010431464 0.0020419033 0.0006602894 0.0004161488 0.00068803265 0.00032182175 0.0008433949 0.00028298117 0.0014371005 0.0024580522 0.0009099787 0.0013427734 0.0008433949 0.00070467865 0.00051047583 0.00036621094 0.0007490678 0.0003828569 0.00061035156 0.00044389206 0.0008877841 0.0005382191 0.00083784625 0.000682484 0.0016867898 0.0004827326 0.0006658381 0.00029962714 0.00086004083 0.00042169745 0.001825506 0.0056263315 0.0015036843 0.0012096058 0.00051047583 0.00044389206 0.00067693536 0.00047718396 0.0008822354 0.0006935813 0.0068026455 0.0017866655 0.0024081143 0.0068525835 0.011385831 0.00064919214 0.0039450903 0.0022527522 0.0018754438 0.002208363 0.0008045543 0.00049937854 0.013694069 0.0007601651 0.00063254614 0.00043834338 0.0012761896 0.0012096058 0.00083784625 0.00045498935 0.0006159002 0.00034401633 0.0006658381 0.00043279474 0.0018199574 0.0010764382 0.0008877841 0.0011707653 0.0016590465 0.0016701438 0.001159668 0.00084894354 0.0011985085 0.00047718396 0.0010265004 0.0006658381 0.00089333276 0.00081010297 0.00084894354 0.0005604137 0.018715598 0.0017589222 0.001048695 0.0026134143 0.0018865411 0.00067693536 0.001253995 0.0005215732 0.002397017 0.00072687323 0.0008822354 0.0009488193 0.0013705167 0.0010265004 0.0018865411 0.0018477007 0.00370095 0.0012650923 0.0017533735 0.0014870383 0.0013705167 0.001048695 0.0035511365 0.034185234 0.034282923 0.0 0.0 0.0 2.7901785e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009946987 6.138393e-05 0.00033482144 1.3950893e-05 0.004469866 0.0014955357 0.00060546875 5.301339e-05 2.7901785e-06 8.370535e-06 1.1160714e-05 2.5111607e-05 2.5111607e-05 5.580357e-06 3.6272322e-05 4.7433037e-05 0.01904855 0.0004268973 0.00029017858 0.00021205356 0.00048270088 0.00019252232 0.00038783482 0.00026785713 0.00016741072 4.7433037e-05 3.90625e-05 4.7433037e-05 0.00021205356 2.5111607e-05 7.8125e-05 0.00093191967 0.009277344 0.0006194196 0.00021484375 7.8125e-05 0.00037109375 6.4174106e-05 0.00013671875 7.533482e-05 6.138393e-05 4.4642857e-05 5.301339e-05 4.4642857e-05 0.00022600447 5.301339e-05 4.4642857e-05 6.4174106e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007882254 0.00035714285 0.00032924107 0.00010044643 0.0010239956 8.0915175e-05 0.00030691965 5.0223214e-05 5.0223214e-05 5.580357e-05 6.4174106e-05 5.580357e-05 0.00073381694 9.4866075e-05 3.6272322e-05 0.00020647321 0.012460938 0.0004408482 0.0028738838 0.00065290177 0.00234654 0.0006668527 0.009662389 0.0029854912 0.00017299107 0.00013950893 0.00012834821 0.000103236605 0.0006110491 0.00018136161 0.00018973215 0.0006696429 0.021958705 0.0007170759 0.0036997767 0.0030245536 0.0077092634 0.0042438614 0.015477121 0.006498326 0.00082589284 0.00032645089 0.0003515625 0.0002845982 0.0009514509 0.00032924107 0.0005050223 0.0016685268 0.021626674 0.0013169643 0.004123884 0.002859933 0.009891183 0.0055106026 0.015474331 0.007982701 0.00055524556 0.00048828125 0.00030691965 0.000390625 0.00084542413 0.00044642857 0.00062779017 0.0018387276 0.01062779 0.00089006696 0.0016071429 0.0006696429 0.0030970983 0.00060267857 0.0021819198 0.0011104911 0.0010351562 0.00072265626 0.0002845982 0.0004045759 0.00069754466 0.00039899553 0.001796875 0.0024441965 0.014012277 0.0017550223 0.002672991 0.0016378348 0.0025753349 0.002999442 0.001997768 0.001171875 0.0029882812 0.0011467634 0.00092075893 0.0012304687 0.001609933 0.0010463169 0.001875 0.0060742185 0.10719866 0.015507813 0.016721541 0.010457589 0.03359096 0.04002511 0.017748326 0.012608817 0.04216797 0.005750558 0.0077734375 0.010856585 0.031916853 0.00750279 0.018203124 0.027684152 0.051300224 0.010064174 0.015251116 0.008085937 0.021791294 0.025242746 0.0087779015 0.010167411 0.027924107 0.0028850446 0.0038392858 0.0049107145 0.019467076 0.0061328127 0.011729911 0.018144531 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1448.0 15.446823 22367.0 0.052801 0.0004023785 0.0013859704 0.0028613582 0.011445433 0.009567667 0.0060356776 0.0008494657 0.004515581 0.0028613582 0.00089417445 0.000804757 0.0023695624 0.016989315 0.0028166496 0.0016989314 0.008136988 0.005499173 0.005499173 0.003889659 0.002906067 0.0020566012 0.0016542227 0.00089417445 0.0025036884 0.0021460187 0.01086422 0.0014753878 0.002593106 0.0020118926 0.0015200966 0.00017883489 0.003040193 0.02803237 0.009835919 0.007555774 0.041176733 0.015648052 0.0048732506 0.019135334 0.0031743194 0.021773148 0.00053650467 0.0015648053 0.012920821 0.007287522 0.01819645 0.006929852 0.022577904 0.0042473287 0.011847812 0.013859704 0.020878974 0.00912058 0.005678008 0.008136988 0.019537712 0.001296553 0.00044708722 0.0010730093 0.00093888317 0.00093888317 0.0016989314 0.0053650467 0.00017883489 0.03424688 0.004381455 0.017436402 0.028211204 0.066616 0.009299414 0.021862565 0.006751017 0.032995038 0.002235436 0.0018777663 0.02450038 0.013412617 0.048777215 0.03956722 0.008002861 0.0012518442 0.025752224 0.024589797 0.055572942 0.010193589 0.0046944157 0.0047838334 0.0027719408 0.005499173 0.0012071355 0.00031296106 0.00093888317 0.00013412617 0.00049179594 0.0 5.6537533 0.0 0.0 0.0 3.0 180224.0 184320.0 0.0 18.0 288.0 0.0 1.0 0.0 0.0 0.0 1167386200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 110592.0 4096.0 4096.0 4.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.611544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.961381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5009427 0.0 5.949118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23022.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -107522.0 0.0 26428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 478.0 137232.0 120.0 131468.0 26428.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 131232.0 0.0 0.0 1172.0 114688.0 0.0 0.0 0.0 0.0


Input: 0.20136176 0.023756264 0.0065364223 0.004406638 0.046346866 0.008528216 0.0075531993 0.004295882 0.009481444 0.0019609267 0.0017975161 0.0013871741 0.006616312 0.0015088242 0.0010385648 0.004579127 0.0048024547 0.0016468153 0.0010131454 0.0017212579 0.0026436197 0.002846975 0.0011220858 0.0009078364 0.0021624665 0.001265524 0.00067724596 0.0013980682 0.0016522623 0.00084791926 0.0006699833 0.0009314402 0.011110103 0.0007153751 0.0012927591 0.0010930351 0.0021225216 0.0013199942 0.0005301765 0.0013889897 0.0012528143 0.0011366112 0.00071355945 0.0016558936 0.00096775364 0.0012691553 0.0016558936 0.0007299005 0.0033771517 0.0019827147 0.0016849445 0.005766577 0.0017993319 0.0021243372 0.0018882998 0.0016268429 0.0020680514 0.0033481007 0.001470695 0.004680805 0.0021660978 0.0019010095 0.0015287966 0.0016449996 0.0428753 0.0011565837 0.0012074225 0.0014942988 0.013953446 0.013365168 0.0024275547 0.0014834048 0.0018955625 0.0014779577 0.001087588 0.0007171908 0.0013363352 0.010628949 0.0015051928 0.0008914954 0.008268574 0.0020789455 0.0010004358 0.003723945 0.0016903915 0.002498366 0.0037257608 0.0032500545 0.0013998838 0.0028905512 0.0005356235 0.0009968044 0.0010458276 0.00394001 0.0019119035 0.0013254412 0.0011529523 0.004441136 0.0010621686 0.0028996295 0.0032990777 0.00984821 0.0030485147 0.001659525 0.005590457 0.00512746 0.0047715884 0.000965938 0.0042559374 0.0018120415 0.004936815 0.004649938 0.002857869 0.0006028034 0.00563948 0.004880529 0.011970731 0.011516813 0.0021951485 0.0017957005 0.0015033771 0.0014053308 0.00072082214 0.0005356235 0.0013835428 0.0026926429 0.0011202702 0.0010058827 0.0025165225 0.0012945748 0.00078073936 0.009198199 0.0025019972 0.0072572445 0.000771661 0.0006300385 0.0017466773 0.008181422 0.0008951267 0.019502142 0.0009332559 0.015480427 0.0006155131 0.0006300385 0.0009913574 0.00041578908 0.00041215774 0.0010022514 0.0010821411 0.00067179895 0.00045210254 0.00048660033 0.0009514126 0.0005755683 0.00038129132 0.00038129132 0.0008842327 0.00084791926 0.00043031448 0.0004629966 0.00088786404 0.0007643983 0.000388554 0.00073353184 0.0008642603 0.0006554579 0.00043757717 0.00041034207 0.0012074225 0.0004139734 0.0004484712 0.00045936523 0.0008116058 0.000383107 0.00055378024 0.00041942042 0.0010349335 0.00044665553 0.0004484712 0.00043213015 0.0009078364 0.0011674777 0.00067724596 0.0010058827 0.0024911033 0.0007789237 0.0005138354 0.0005701213 0.0009368872 0.00093507156 0.0009150991 0.0006754303 0.006995788 0.0020099499 0.0020026872 0.0029377588 0.0025746243 0.0005229138 0.005739342 0.0027561914 0.0023785315 0.0013345196 0.0006282228 0.001087588 0.017261602 0.0004757063 0.001198344 0.00097320066 0.0014507227 0.0007698453 0.0007044811 0.0007353475 0.0012891277 0.00039218535 0.00092780887 0.00062640716 0.0020807611 0.0006972184 0.00051201973 0.0011729246 0.0018755901 0.0005628586 0.00052109815 0.0004539182 0.002808846 0.0005501489 0.00052836083 0.00045573388 0.0026163845 0.0004629966 0.0006572736 0.00048478466 0.020188468 0.0054034423 0.0005229138 0.0035895852 0.0047225654 0.00038673833 0.0005501489 0.00051746675 0.0058882274 0.0011311643 0.0005247295 0.0009042051 0.0018120415 0.00084973493 0.0020063187 0.0015070084 0.003324497 0.0009913574 0.0008243155 0.0042377803 0.011736509 0.006333067 0.004433873 0.06164754 0.011167612 6.3768075e-06 9.1097246e-07 2.7329174e-06 1.8219449e-06 1.8219449e-06 4.5548622e-06 9.1097246e-07 0.0 0.0 9.1097246e-07 0.0 0.0 0.0 0.0 6.3768075e-06 0.0017654647 9.1097246e-07 4.5548622e-06 2.7329174e-06 6.3768075e-06 8.198753e-06 1.6397506e-05 1.0020697e-05 6.3768075e-06 3.6438898e-06 6.3768075e-06 1.8219449e-06 5.465835e-06 9.1097245e-06 2.7329174e-06 1.5486532e-05 0.0003543683 0.0 0.0 0.0 0.0015113034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035364863 1.1842642e-05 1.1842642e-05 1.1842642e-05 0.042777445 9.1097245e-06 1.3664588e-05 1.093167e-05 7.105585e-05 6.3768075e-06 1.1842642e-05 9.1097245e-06 1.1842642e-05 9.1097245e-06 1.8219449e-05 9.1097245e-06 0.0046623573 3.6438898e-05 4.008279e-05 0.00018037255 0.0021380524 3.9171817e-05 4.6459598e-05 4.2815707e-05 1.6397506e-05 1.0020697e-05 2.550723e-05 1.7308477e-05 1.7308477e-05 2.7329175e-05 1.5486532e-05 0.00014757754 0.006806786 0.00020132492 0.0001156935 8.92753e-05 0.002816727 0.00010293989 0.00013937878 0.0001093167 7.652169e-05 1.3664588e-05 3.8260845e-05 2.186334e-05 2.3685285e-05 2.7329175e-05 1.6397506e-05 0.000594865 0.039958898 0.00090277375 0.0011879081 0.00033614883 0.003975484 0.0007023598 0.0017672866 0.0014857961 0.0010567281 0.0012015727 0.0003042648 0.00035619023 0.00044455458 0.00033979272 0.00036712192 0.0034489417 0.07165345 0.0019795431 0.010933491 0.0011022767 0.0026381763 0.0017463343 0.024337541 0.013033283 0.0005538713 0.00022409923 0.00019768103 0.00017763964 0.00019677005 0.00017399574 0.00013300199 0.0015158582 0.023580523 0.0009783844 0.0023867479 0.0006085296 0.0014602889 0.00081805326 0.0044519226 0.0027374723 0.00072057924 0.0002851344 0.00026964786 0.0002286541 0.0011542022 0.00022136631 0.00022136631 0.00092190417 0.013412247 0.0005137885 0.0017426903 0.00092737 0.0020278248 0.0015267899 0.00793457 0.0044865394 0.00054749445 0.00027693564 0.000265093 0.000298799 0.0003015319 0.00028331243 0.00026327104 0.00063950266 0.008564963 0.00072604505 0.0010339537 0.0011724216 0.0010457964 0.0005137885 0.0017281148 0.0011022767 0.0004245132 0.0002714698 0.00032339524 0.00028695632 0.00030517578 0.00029151118 0.00035983414 0.0005065007 0.008774487 0.0016060445 0.0015386326 0.015274276 0.0013773903 0.0013391295 0.0014730425 0.0014967278 0.0012735395 0.0012425665 0.0012334568 0.0011869972 0.0012462103 0.0012389226 0.0011942849 0.0014147402 0.0104534095 0.00094558945 0.00092919194 0.0012443884 0.00205151 0.0015031046 0.0011387157 0.0014511792 0.005136063 0.0008954859 0.0008062106 0.0015814482 0.0025434352 0.0010130014 0.0030854638 0.009997923 0.066393495 0.01208405 0.0058384226 0.01143726 0.023894807 0.021756755 0.010765873 0.01675916 0.045457527 0.0041540344 0.0040611154 0.0070336186 0.032087184 0.007410761 0.028245613 0.06642629 0.028128097 0.0062419833 0.0030380932 0.0065098093 0.010001567 0.010222022 0.0055733295 0.00904869 0.017688353 0.0018283217 0.002246458 0.0027064993 0.012658874 0.003735898 0.010589144 0.022767935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2358.0 21.358355 50363.0 0.017532712 0.0006353871 0.0014494768 0.0014693326 0.002065008 0.0007346663 0.0006353871 0.0016281795 0.0025614041 0.002184143 0.0012707742 0.0021642873 0.0021245757 0.0016480352 0.0028592418 0.0019657288 0.010364752 0.007346663 0.006731132 0.0065524294 0.0052617993 0.0061751683 0.0054802136 0.006075889 0.007207672 0.005897186 0.004527133 0.0053412225 0.006850267 0.0050235293 0.005182376 0.005142664 0.44751108 0.0027599626 0.0011119274 0.004427854 0.13210094 0.0021642873 0.0031173679 0.0029982328 0.003256359 0.003097512 0.0010523598 0.0009332248 0.0027798186 0.0020054404 0.0015884677 0.0020451522 0.0052617993 0.0016083235 0.0022834223 0.010841292 0.0031570797 0.0010722157 0.0057979072 0.0073069516 0.0020451522 0.001032504 0.00079423387 0.0010722157 0.0014693326 0.001032504 0.0012906301 0.002065008 0.0029188094 0.010722158 0.0021047196 0.009113833 0.006056033 0.024978654 0.0029188094 0.004010881 0.0045668446 0.01314457 0.0019061613 0.0012707742 0.010265472 0.0044079977 0.011258265 0.012529039 0.0070289695 0.00053610787 0.013640966 0.0091932565 0.020590512 0.007108393 0.0031570797 0.0019260171 0.003256359 0.003097512 0.0010920715 0.00031769354 0.0014097651 0.0006750988 0.0007346663 0.0008935131 3.955523 0.0 16.0 0.0 4.0 550760.0 561152.0 1.0 0.0 325.0 1.0 1.0 1.0 0.0 0.0 1243073700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 5.0 0.0 401408.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -401408.0 0.0 112128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4361677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4977062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2588105 0.0 4.3458366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24510.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -401316.0 0.0 111864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 397188.0 111864.0 421888.0 0.0 0.0 5480.0 545280.0 17240.0 536576.0 28.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 81392.0 0.0 0.0 1356.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.056666225 0.0082939565 0.006168443 0.005656994 0.0057491376 0.0049529755 0.0042044385 0.005420941 0.005053402 0.0056321463 0.0037561445 0.00446741 0.0049591875 0.0031722237 0.004319359 0.0046434146 0.0050337305 0.0037706392 0.0049322695 0.004160955 0.0043566306 0.0031763648 0.004105048 0.0038565707 0.005065826 0.0033523694 0.0031587644 0.002935135 0.004150602 0.0034351952 0.0037872042 0.0037882396 0.006169478 0.0038275819 0.003489032 0.0030272787 0.004899139 0.0041557783 0.0038358644 0.003725085 0.0047179577 0.0038979836 0.0033368396 0.0030997512 0.0043711253 0.003718873 0.0037240498 0.0035863519 0.005512049 0.003943538 0.003109069 0.00290304 0.003673319 0.0030686916 0.0026856228 0.002863698 0.004170273 0.003315098 0.0035231975 0.0033565108 0.0040004803 0.0032198483 0.003505597 0.003453831 0.0065939594 0.003943538 0.0036236236 0.003218813 0.004165096 0.003218813 0.0035397625 0.0030655856 0.00499853 0.0037727098 0.003702308 0.0035853167 0.0041267895 0.0031308108 0.003560469 0.003464184 0.0051714284 0.0036298356 0.0036505419 0.0033430515 0.00393422 0.0033844644 0.003357546 0.0035325154 0.0046444503 0.003641224 0.0038068753 0.0035128442 0.0041133305 0.0033823939 0.003689884 0.0037872042 0.0059096124 0.0036246588 0.003340981 0.0029496297 0.003995304 0.003054197 0.0032622966 0.0030324552 0.004978859 0.003160835 0.003199142 0.0030500556 0.0035728929 0.0028336735 0.003076974 0.003196036 0.004505717 0.0032871442 0.0032291661 0.0031473758 0.0038917717 0.0033368396 0.0032912856 0.0036288002 0.0046237437 0.0032902502 0.003485926 0.0031660118 0.0040398226 0.003196036 0.0034693608 0.003347193 0.008648036 0.0045947544 0.004011869 0.0035242327 0.004363878 0.0034310538 0.0030210668 0.0033823939 0.0045429887 0.0038327584 0.0029568768 0.0031908595 0.0037261203 0.0028005433 0.0028471327 0.0029786185 0.0052263006 0.0032105304 0.003493173 0.0030262433 0.003667107 0.003186718 0.0033068154 0.0032633317 0.004548165 0.0028398854 0.0030438437 0.0027021877 0.0035200915 0.003235378 0.0029858658 0.0031494466 0.0050109536 0.0034113827 0.0032757558 0.002793296 0.0037758157 0.003005537 0.003047985 0.0031815416 0.0041330014 0.003005537 0.0031235635 0.0030179608 0.0036484713 0.0028409208 0.0029216758 0.0030283139 0.00465998 0.0031194221 0.0038472528 0.00285438 0.0035656455 0.0031484112 0.0029920777 0.0031277048 0.0042562047 0.0031494466 0.0033306277 0.0031815416 0.0036464005 0.0031950006 0.003331663 0.0033420161 0.006721304 0.0040677763 0.0037261203 0.0033430515 0.0041247187 0.0032591906 0.0033068154 0.0032157071 0.00432143 0.003331663 0.0031101042 0.0030852566 0.0036577892 0.0029775833 0.0030790446 0.002802614 0.0042458517 0.003279897 0.003086292 0.0030013956 0.0037178379 0.0030200314 0.0029299585 0.0029454883 0.00398288 0.0031132102 0.0027301414 0.0026431745 0.0035325154 0.002944453 0.003573928 0.0028802631 0.0049550463 0.0032364135 0.0033958529 0.0029837952 0.0038130872 0.003073868 0.0032032833 0.0029175347 0.004443598 0.0054530357 0.00346729 0.0031297754 0.003786169 0.003086292 0.0032519433 0.0031918946 0.004617532 0.0033244158 0.0034269125 0.0030459145 0.0037333677 0.0030904333 0.0033171684 0.003238484 0.0043514543 0.0030324552 0.0031887887 0.0028699099 0.004012904 0.0030997512 0.004228251 0.0045139994 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4024.0 5.7032804 22950.0 0.017254902 0.010413944 0.0093681915 0.008714597 0.013464052 0.012418301 0.011808279 0.011416122 0.012549019 0.009760348 0.008540305 0.008583878 0.013899782 0.010631808 0.011721133 0.010065359 0.016732026 0.011938998 0.008714597 0.0075381263 0.009803922 0.008496732 0.0077995644 0.00832244 0.010239651 0.008409586 0.009586057 0.008888889 0.011503268 0.008932462 0.00962963 0.0091939 0.017995642 0.010849673 0.010413944 0.009019608 0.010893246 0.008845316 0.010675381 0.008278867 0.014204793 0.011633987 0.009716775 0.008932462 0.011416122 0.009324619 0.011677559 0.009542484 0.014814815 0.009673202 0.010021786 0.009063181 0.012069717 0.009455338 0.009542484 0.009803922 0.013681917 0.0091939 0.0105010895 0.009542484 0.011154684 0.009803922 0.010457517 0.010675381 0.01795207 0.011023965 0.009673202 0.0081917215 0.013071896 0.008235294 0.009411764 0.008366013 0.015424836 0.009281046 0.008888889 0.008671024 0.011328976 0.008017429 0.009891068 0.007843138 0.013159041 0.007973856 0.008671024 0.008888889 0.011503268 0.009411764 0.00832244 0.008017429 0.011023965 0.008888889 0.012026144 0.008453159 0.011372549 0.009019608 0.010021786 0.00875817 6.554612 0.0 0.0 0.0 14.0 965884.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0