# number of letters and keys
34
# probabilities (not normalized)
0.000405374 0.001267257 0.002147978 0.002296358 0.000175291 0.000588880 0.001120263 0.000794762 0.002383979 0.000094678 0.001325511 0.005497935 0.002116291 0.010617767 0.000112954 0.001145694 0.000026520 0.006254970 0.004563311 0.008016687 0.000651407 0.002437869 0.000548964 0.000090317 0.003490746 0.000195659 0.000166383 0.000183471 0.000050120 0.000046642 0.000043280 0.000000000 0.000023649 0.005244455 
0.001583002 0.000108147 0.000032989 0.000025362 0.003659099 0.000012337 0.000007615 0.000011400 0.000711287 0.000037529 0.000003588 0.001011013 0.000032612 0.000012752 0.001538934 0.000014237 0.000003091 0.000697098 0.000176261 0.000065373 0.001265316 0.000014676 0.000014701 0.000000927 0.000654693 0.000003400 0.000017148 0.000042503 0.000015303 0.000009576 0.000006800 0.0 0.000003794 0.000255191 
0.003537494 0.000013864 0.000296582 0.000018684 0.002702380 0.000012558 0.000012819 0.002949775 0.000952590 0.000005255 0.001902781 0.000684523 0.000021779 0.000016643 0.003828049 0.000014925 0.000017555 0.000618576 0.000108732 0.001206198 0.000823080 0.000005382 0.000002164 0.000001855 0.000165695 0.000003091 0.000026477 0.000074242 0.000010576 0.000009847 0.000008346 0.0 0.000008137 0.000420447 
0.002836475 0.000040359 0.000041029 0.000327951 0.003172666 0.000032874 0.000124130 0.000046611 0.002550985 0.000032909 0.000015419 0.000165384 0.000100914 0.000306329 0.003433988 0.000026316 0.000004273 0.000622460 0.000581797 0.000046374 0.000526962 0.000078146 0.000065415 0.000006070 0.000481477 0.000005752 0.000268532 0.000773618 0.000060394 0.000246196 0.000032607 0.000000927 0.000085179 0.011944344 
0.004856218 0.000324643 0.001656513 0.005181768 0.004185069 0.000741117 0.000532521 0.000179935 0.000692867 0.000029265 0.000500037 0.002926995 0.001644616 0.006478035 0.000458363 0.000840541 0.000110484 0.010285519 0.006044338 0.003852089 0.000151018 0.001249862 0.000896324 0.000974010 0.001043754 0.000080176 0.000603267 0.001692171 0.000187302 0.000803733 0.000071878 0.000002849 0.000184517 0.028643829 
0.000781104 0.000030998 0.000027919 0.000004636 0.001152408 0.000993102 0.000013606 0.000008225 0.001638480 0.000005761 0.000004515 0.000311881 0.000024201 0.000016416 0.003265327 0.000023617 0.000000927 0.001411207 0.000044731 0.000563370 0.000590679 0.000002473 0.000009355 0.000003091 0.000060833 0.000003091 0.000027894 0.000091176 0.000026294 0.000021704 0.000006188 0.000001733 0.000008175 0.003268042 
0.000987893 0.000027222 0.000012252 0.000015173 0.002585066 0.000013125 0.000206858 0.001756170 0.000786358 0.000014267 0.000013249 0.000220551 0.000025310 0.000386468 0.002659441 0.000026073 0.000002164 0.001056893 0.000336252 0.000143581 0.000466496 0.000003597 0.000015522 0.000003597 0.000112062 0.000003709 0.000128661 0.000443127 0.000041338 0.000231696 0.000015334 0.000001115 0.000067652 0.005764386 
0.008259618 0.000023786 0.000012625 0.000124923 0.013666713 0.000019101 0.000010173 0.000153451 0.004543572 0.000009976 0.000008655 0.000050443 0.000081025 0.000106464 0.004234279 0.000023634 0.000003709 0.000421117 0.000073999 0.001990697 0.000527453 0.000007176 0.000019398 0.000009358 0.000309837 0.000001236 0.000148517 0.000256261 0.000030392 0.000067886 0.000018004 0.000000618 0.000039332 0.003368347 
0.001390749 0.000256948 0.002834973 0.002577821 0.001710115 0.001282583 0.001895118 0.000040911 0.000088094 0.000046076 0.001007356 0.003211079 0.001555612 0.014579036 0.002100978 0.000490117 0.000030956 0.001468956 0.006115308 0.006323169 0.000076527 0.001024438 0.000029306 0.000124340 0.000025250 0.000287275 0.000078199 0.000087485 0.000032820 0.000013061 0.000014219 0.000000309 0.000009640 0.005892892 
0.000298582 0.000006688 0.000006997 0.000006061 0.000275882 0.000004018 0.000006379 0.000010173 0.000119975 0.000012901 0.000009358 0.000003709 0.000008600 0.000005752 0.000473194 0.000016894 0.000001236 0.000006800 0.000008964 0.000005691 0.000913396 0.000002782 0.000009218 0.000002782 0.000003709 0.000000927 0.000002540 0.000007491 0.000001545 0.000000000 0.000003400 0.0 0.0 0.000029386 
0.000389318 0.000047556 0.000010200 0.000013546 0.002940344 0.000030557 0.000009655 0.000056591 0.001352111 0.000008534 0.000035962 0.000059934 0.000029341 0.000698912 0.000123496 0.000019969 0.000002473 0.000036121 0.000813948 0.000023383 0.000060909 0.000006618 0.000027208 0.000002473 0.000121446 0.000002782 0.000132241 0.000409343 0.000026966 0.000175147 0.000016382 0.000000618 0.000034397 0.002851591 
0.003104001 0.000065093 0.000082510 0.002018901 0.004629708 0.000201680 0.000050096 0.000029695 0.003690520 0.000007109 0.000421599 0.005588741 0.000194889 0.000021801 0.003082696 0.000279668 0.000001545 0.000190121 0.000732728 0.000350465 0.000509491 0.000089814 0.000114633 0.000006182 0.001958300 0.000015849 0.000163052 0.000389261 0.000052736 0.000088073 0.000025240 0.000004909 0.000062395 0.005618365 
0.003070692 0.000556977 0.000077120 0.000014725 0.006397893 0.000077771 0.000046507 0.000031919 0.001901116 0.000008037 0.000007109 0.000057320 0.000478881 0.000074162 0.002313781 0.000679328 0.000001855 0.000064321 0.000325954 0.000028503 0.000618319 0.000009279 0.000043950 0.000003091 0.001541428 0.000010818 0.000087903 0.000292104 0.000019243 0.000116158 0.000017934 0.000000000 0.000020793 0.003248817 
0.001730735 0.000089494 0.001408420 0.005725612 0.004538789 0.000333536 0.007484934 0.000072883 0.002338308 0.000106996 0.001342761 0.000327694 0.000211607 0.000925272 0.003366510 0.000045878 0.000019323 0.000096152 0.001633309 0.004375722 0.000415867 0.000178904 0.000045863 0.000012876 0.000850197 0.000023095 0.000335790 0.000626319 0.000099687 0.000314058 0.000045907 0.000001733 0.000076147 0.011013352 
0.000330814 0.000541326 0.000634688 0.001537947 0.000422326 0.002840457 0.000382693 0.000367593 0.001163144 0.000062770 0.001119169 0.002241877 0.004089447 0.008503103 0.002863535 0.001337279 0.000006576 0.006975490 0.001477035 0.002791216 0.012211526 0.001399556 0.003593785 0.000075785 0.000282333 0.000041307 0.000156783 0.000332542 0.000069410 0.000099017 0.000042853 0.000000927 0.000079489 0.010411542 
0.001653103 0.000030419 0.000072405 0.000053992 0.002132233 0.000020489 0.000026721 0.000501819 0.000946615 0.000008346 0.000025571 0.001758760 0.000122521 0.000023995 0.001550003 0.000913724 0.000004327 0.001883225 0.000330910 0.000424626 0.000451826 0.000018546 0.000018377 0.000004636 0.000189829 0.000004018 0.000063857 0.000209789 0.000020973 0.000064593 0.000008037 0.000014867 0.000011958 0.001419951 
0.000006128 0.000002670 0.000001545 0.000001855 0.000002782 0.000002473 0.000000618 0.000001855 0.000008546 0.000001545 0.000001236 0.000001236 0.000001545 0.000000618 0.000001236 0.000000927 0.000003400 0.000002473 0.000004394 0.000001855 0.000544482 0.000000927 0.000000927 0.000002164 0.000002473 0.000002164 0.000005952 0.000001424 0.000000618 0.000000309 0.000001236 0.0 0.000000309 0.000020170 
0.002987219 0.000120023 0.000528315 0.001061124 0.010385986 0.000132150 0.000494872 0.000053664 0.003488854 0.000008037 0.000800518 0.000573703 0.000599705 0.000847943 0.003573018 0.000184461 0.000006746 0.001175577 0.001911145 0.002116059 0.000593970 0.000192580 0.000125225 0.000006249 0.001546667 0.000013931 0.000245792 0.000733298 0.000108883 0.000281598 0.000033262 0.000002549 0.000044218 0.008329501 
0.001896744 0.000079440 0.000657666 0.000294790 0.004414062 0.000110860 0.000045997 0.002301184 0.002430977 0.000017316 0.000380087 0.000448826 0.000320111 0.000302199 0.003116710 0.000812764 0.000054832 0.000127292 0.002208910 0.006139976 0.001331805 0.000009273 0.000251592 0.000006370 0.000210452 0.000007615 0.000561967 0.001354019 0.000093519 0.000471538 0.000108761 0.000004770 0.000171323 0.014777102 
0.002996618 0.000081270 0.000419680 0.000029962 0.005588100 0.000089630 0.000028624 0.017073100 0.004882560 0.000012861 0.000016764 0.000461371 0.000313142 0.000071710 0.008854278 0.000723557 0.000003588 0.001811799 0.001514076 0.002131293 0.000993235 0.000049450 0.000617299 0.000021570 0.000829389 0.000025635 0.000386577 0.001162900 0.000095903 0.000628131 0.000038825 0.000111511 0.000178500 0.017124246 
0.000461460 0.000302859 0.000869956 0.000380116 0.000809833 0.000108324 0.000733316 0.000055981 0.000393977 0.000018177 0.000078290 0.002087079 0.000641754 0.002219397 0.000039882 0.001284804 0.000002782 0.003536424 0.002807959 0.002943739 0.000068130 0.000029071 0.000013864 0.000022692 0.000248813 0.000053964 0.000066880 0.000256169 0.000013787 0.000168062 0.000003709 0.0 0.000060295 0.005420773 
0.000452785 0.000003836 0.000008431 0.000012028 0.005517652 0.000002473 0.000003091 0.000008422 0.001405636 0.000001545 0.000003158 0.000006370 0.000004524 0.000006070 0.000285085 0.000005382 0.000000309 0.000015840 0.000023640 0.000004327 0.000004636 0.000004946 0.000002164 0.000002164 0.000030039 0.000001855 0.000008185 0.000017046 0.000004206 0.000000000 0.000001545 0.0 0.000001742 0.000079055 
0.002962750 0.000040854 0.000016422 0.000028415 0.003562581 0.000023686 0.000004636 0.003027680 0.002995961 0.000004946 0.000027706 0.000063862 0.000021001 0.000439064 0.001974975 0.000011799 0.000000927 0.000138328 0.000225622 0.000048969 0.000008112 0.000002782 0.000049517 0.000001236 0.000040347 0.000004018 0.000076544 0.000308025 0.000015696 0.000114750 0.000008534 0.000000309 0.000042336 0.002572250 
0.000099710 0.000012923 0.000176536 0.000017310 0.000090368 0.000003897 0.000002782 0.000013487 0.000109885 0.000003400 0.000002782 0.000010891 0.000008431 0.000003091 0.000024492 0.000172552 0.0 0.000001545 0.000008234 0.000343468 0.000021157 0.000002473 0.000002164 0.000049541 0.000021480 0.000000927 0.000007740 0.000022746 0.000016483 0.000015422 0.000006800 0.0 0.000000309 0.000234570 
0.000277346 0.000128444 0.000059108 0.000045411 0.001203985 0.000040553 0.000019979 0.000029010 0.000377419 0.000014661 0.000011822 0.000114866 0.000143830 0.000129413 0.007298939 0.000090917 0.000001236 0.000070932 0.000594212 0.000220159 0.000083271 0.000007297 0.000049752 0.000006679 0.000062853 0.000004636 0.000462427 0.001035578 0.000052851 0.000432990 0.000049101 0.000005187 0.000161022 0.008813624 
0.000159504 0.000005321 0.000003400 0.000003897 0.000260465 0.000002164 0.000002782 0.000032476 0.000112049 0.000001855 0.000005564 0.000019863 0.000008667 0.000001855 0.000042211 0.000003091 0.000000618 0.000003709 0.000004206 0.000003709 0.000015543 0.000001855 0.000001855 0.000001545 0.000056937 0.000090918 0.000018350 0.000013743 0.000003091 0.000001236 0.000010200 0.0 0.000000618 0.000100328 
0.000003279 0.000001545 0.000001545 0.000001236 0.0 0.000000927 0.000000618 0.000002473 0.000005958 0.0 0.000001424 0.000002361 0.000003597 0.000005640 0.000000927 0.000000309 0.0 0.000000309 0.000004833 0.000005134 0.000000618 0.000000927 0.000004412 0.0 0.000002052 0.0 0.000005388 0.000001921 0.000004031 0.0 0.0 0.000000309 0.0 0.004347618 
0.000057699 0.000020176 0.000376225 0.000010482 0.000015261 0.000016467 0.000012637 0.000034171 0.000037938 0.000007064 0.000002970 0.000049265 0.000040879 0.000015982 0.000018828 0.000018886 0.0 0.000008609 0.000046596 0.000094227 0.000007924 0.000004591 0.000027513 0.000000618 0.000011409 0.0 0.000013398 0.000405362 0.0 0.000003724 0.000013940 0.000000000 0.0 0.002491703 
0.000077149 0.000068875 0.000061445 0.000064939 0.000028825 0.000052471 0.000043721 0.000033537 0.000047690 0.000012928 0.000013801 0.000045520 0.000066678 0.000019177 0.000066938 0.000079412 0.000002782 0.000056003 0.000098134 0.000100463 0.000032594 0.000012243 0.000044785 0.000001545 0.000047707 0.000003279 0.000000000 0.000004327 0.000017058 0.0 0.000000309 0.0 0.0 0.000128596 
0.000001236 0.0 0.000001545 0.0 0.000000618 0.000001855 0.000000309 0.000002052 0.000004833 0.000000309 0.000000309 0.000002361 0.000005143 0.000000000 0.000000618 0.000002473 0.000000618 0.000005255 0.000003709 0.000008515 0.000021637 0.000001236 0.000003485 0.000000309 0.0 0.000000309 0.0 0.000003485 0.0 0.000055664 0.000000618 0.0 0.000003485 0.000354995 
0.000000618 0.000001545 0.000000927 0.000027877 0.000000309 0.0 0.0 0.0 0.000000309 0.0 0.000000000 0.000001236 0.0 0.0 0.000012534 0.000012252 0.0 0.000000309 0.000000618 0.000000618 0.0 0.000015682 0.0 0.0 0.0 0.0 0.0 0.000001742 0.000073185 0.0 0.000014249 0.000001742 0.0 0.000688947 
0.000004412 0.000002052 0.000001742 0.000002979 0.000010455 0.000000000 0.000000000 0.000000000 0.000003794 0.000000309 0.000000000 0.000000000 0.000003485 0.000001742 0.000001742 0.000004103 0.0 0.000000000 0.000002361 0.000034850 0.000000000 0.000003485 0.0 0.0 0.0 0.000000000 0.000000000 0.000000000 0.0 0.000000000 0.000006970 0.000000000 0.0 0.000068117 
0.000000309 0.000002052 0.0 0.000000309 0.000000309 0.0 0.0 0.000000309 0.000000618 0.000000309 0.0 0.0 0.0 0.000000309 0.000000309 0.000000309 0.0 0.000000927 0.000001742 0.000002670 0.0 0.0 0.000000309 0.000000618 0.0 0.0 0.0 0.0 0.0 0.000000000 0.000000927 0.0 0.000106847 0.000655980 
0.015384543 0.007196541 0.006963717 0.006087657 0.002684511 0.006287334 0.004989909 0.007497371 0.011849491 0.001264236 0.001405873 0.004899182 0.008022227 0.004330645 0.007434443 0.005343963 0.000291932 0.003604766 0.010369187 0.023010388 0.002320672 0.000800144 0.010188500 0.000104226 0.007332654 0.000091245 0.000059941 0.000104620 0.000124594 0.000008206 0.000365102 0.000022568 0.000003597 0.000081802 
# inter-key intervals (in milliseconds)
195.738000000 184.738000000 169.993000000 160.063000000 161.133000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 155.430000000 155.430000000 213.884000000 202.884000000 188.139000000 178.209000000 179.279000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 232.492000000 221.492000000 206.747000000 196.817000000 197.887000000 190.425000000 189.355000000 188.285000000 192.030000000 192.030000000 112.800000000 
184.738000000 195.738000000 180.993000000 171.063000000 172.133000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 155.430000000 155.430000000 202.884000000 213.884000000 199.139000000 189.209000000 190.279000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 221.492000000 232.492000000 217.747000000 207.817000000 208.887000000 190.425000000 189.355000000 188.285000000 192.030000000 192.030000000 112.800000000 
169.993000000 180.993000000 188.248000000 178.318000000 179.388000000 150.080000000 149.010000000 147.940000000 151.685000000 151.685000000 151.685000000 151.685000000 188.139000000 199.139000000 206.394000000 196.464000000 197.534000000 168.380000000 167.310000000 166.240000000 169.985000000 169.985000000 169.985000000 206.747000000 217.747000000 225.002000000 215.072000000 216.142000000 186.680000000 185.610000000 184.540000000 188.285000000 188.285000000 112.800000000 
160.063000000 171.063000000 178.318000000 190.388000000 191.458000000 151.150000000 150.080000000 149.010000000 152.755000000 152.755000000 152.755000000 152.755000000 178.209000000 189.209000000 196.464000000 208.534000000 209.604000000 169.450000000 168.380000000 167.310000000 171.055000000 171.055000000 171.055000000 196.817000000 207.817000000 215.072000000 227.142000000 228.212000000 187.750000000 186.680000000 185.610000000 189.355000000 189.355000000 112.800000000 
161.133000000 172.133000000 179.388000000 191.458000000 192.528000000 152.220000000 151.150000000 150.080000000 153.825000000 153.825000000 153.825000000 153.825000000 179.279000000 190.279000000 197.534000000 209.604000000 210.674000000 170.520000000 169.450000000 168.380000000 172.125000000 172.125000000 172.125000000 197.887000000 208.887000000 216.142000000 228.212000000 229.282000000 188.820000000 187.750000000 186.680000000 190.425000000 190.425000000 112.800000000 
153.825000000 153.825000000 150.080000000 151.150000000 152.220000000 192.528000000 191.458000000 179.388000000 172.133000000 161.133000000 161.133000000 161.133000000 172.125000000 172.125000000 168.380000000 169.450000000 170.520000000 210.674000000 209.604000000 197.534000000 190.279000000 179.279000000 179.279000000 190.425000000 190.425000000 186.680000000 187.750000000 188.820000000 229.282000000 228.212000000 216.142000000 208.887000000 197.887000000 112.800000000 
152.755000000 152.755000000 149.010000000 150.080000000 151.150000000 191.458000000 190.388000000 178.318000000 171.063000000 160.063000000 160.063000000 160.063000000 171.055000000 171.055000000 167.310000000 168.380000000 169.450000000 209.604000000 208.534000000 196.464000000 189.209000000 178.209000000 178.209000000 189.355000000 189.355000000 185.610000000 186.680000000 187.750000000 228.212000000 227.142000000 215.072000000 207.817000000 196.817000000 112.800000000 
151.685000000 151.685000000 147.940000000 149.010000000 150.080000000 179.388000000 178.318000000 188.248000000 180.993000000 169.993000000 169.993000000 169.993000000 169.985000000 169.985000000 166.240000000 167.310000000 168.380000000 197.534000000 196.464000000 206.394000000 199.139000000 188.139000000 188.139000000 188.285000000 188.285000000 184.540000000 185.610000000 186.680000000 216.142000000 215.072000000 225.002000000 217.747000000 206.747000000 112.800000000 
155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 172.133000000 171.063000000 180.993000000 195.738000000 184.738000000 184.738000000 184.738000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 190.279000000 189.209000000 199.139000000 213.884000000 202.884000000 202.884000000 192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 208.887000000 207.817000000 217.747000000 232.492000000 221.492000000 112.800000000 
155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 161.133000000 160.063000000 169.993000000 184.738000000 195.738000000 195.738000000 195.738000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.279000000 178.209000000 188.139000000 202.884000000 213.884000000 213.884000000 192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 197.887000000 196.817000000 206.747000000 221.492000000 232.492000000 112.800000000 
155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 161.133000000 160.063000000 169.993000000 184.738000000 195.738000000 195.738000000 195.738000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.279000000 178.209000000 188.139000000 202.884000000 213.884000000 213.884000000 192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 197.887000000 196.817000000 206.747000000 221.492000000 232.492000000 112.800000000 
155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 161.133000000 160.063000000 169.993000000 184.738000000 195.738000000 195.738000000 195.738000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.279000000 178.209000000 188.139000000 202.884000000 213.884000000 213.884000000 192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 197.887000000 196.817000000 206.747000000 221.492000000 232.492000000 112.800000000 
213.884000000 202.884000000 188.139000000 178.209000000 179.279000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 173.730000000 195.430000000 184.430000000 169.685000000 159.755000000 160.825000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 155.430000000 214.038000000 203.038000000 188.293000000 178.363000000 179.433000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 112.800000000 
202.884000000 213.884000000 199.139000000 189.209000000 190.279000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 173.730000000 184.430000000 195.430000000 180.685000000 170.755000000 171.825000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 155.430000000 203.038000000 214.038000000 199.293000000 189.363000000 190.433000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 112.800000000 
188.139000000 199.139000000 206.394000000 196.464000000 197.534000000 168.380000000 167.310000000 166.240000000 169.985000000 169.985000000 169.985000000 169.985000000 169.685000000 180.685000000 187.940000000 178.010000000 179.080000000 150.080000000 149.010000000 147.940000000 151.685000000 151.685000000 151.685000000 188.293000000 199.293000000 206.548000000 196.618000000 197.688000000 168.380000000 167.310000000 166.240000000 169.985000000 169.985000000 112.800000000 
178.209000000 189.209000000 196.464000000 208.534000000 209.604000000 169.450000000 168.380000000 167.310000000 171.055000000 171.055000000 171.055000000 171.055000000 159.755000000 170.755000000 178.010000000 190.080000000 191.150000000 151.150000000 150.080000000 149.010000000 152.755000000 152.755000000 152.755000000 178.363000000 189.363000000 196.618000000 208.688000000 209.758000000 169.450000000 168.380000000 167.310000000 171.055000000 171.055000000 112.800000000 
179.279000000 190.279000000 197.534000000 209.604000000 210.674000000 170.520000000 169.450000000 168.380000000 172.125000000 172.125000000 172.125000000 172.125000000 160.825000000 171.825000000 179.080000000 191.150000000 192.220000000 152.220000000 151.150000000 150.080000000 153.825000000 153.825000000 153.825000000 179.433000000 190.433000000 197.688000000 209.758000000 210.828000000 170.520000000 169.450000000 168.380000000 172.125000000 172.125000000 112.800000000 
172.125000000 172.125000000 168.380000000 169.450000000 170.520000000 210.674000000 209.604000000 197.534000000 190.279000000 179.279000000 179.279000000 179.279000000 153.825000000 153.825000000 150.080000000 151.150000000 152.220000000 192.220000000 191.150000000 179.080000000 171.825000000 160.825000000 160.825000000 172.125000000 172.125000000 168.380000000 169.450000000 170.520000000 210.828000000 209.758000000 197.688000000 190.433000000 179.433000000 112.800000000 
171.055000000 171.055000000 167.310000000 168.380000000 169.450000000 209.604000000 208.534000000 196.464000000 189.209000000 178.209000000 178.209000000 178.209000000 152.755000000 152.755000000 149.010000000 150.080000000 151.150000000 191.150000000 190.080000000 178.010000000 170.755000000 159.755000000 159.755000000 171.055000000 171.055000000 167.310000000 168.380000000 169.450000000 209.758000000 208.688000000 196.618000000 189.363000000 178.363000000 112.800000000 
169.985000000 169.985000000 166.240000000 167.310000000 168.380000000 197.534000000 196.464000000 206.394000000 199.139000000 188.139000000 188.139000000 188.139000000 151.685000000 151.685000000 147.940000000 149.010000000 150.080000000 179.080000000 178.010000000 187.940000000 180.685000000 169.685000000 169.685000000 169.985000000 169.985000000 166.240000000 167.310000000 168.380000000 197.688000000 196.618000000 206.548000000 199.293000000 188.293000000 112.800000000 
173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 190.279000000 189.209000000 199.139000000 213.884000000 202.884000000 202.884000000 202.884000000 155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 171.825000000 170.755000000 180.685000000 195.430000000 184.430000000 184.430000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 190.433000000 189.363000000 199.293000000 214.038000000 203.038000000 112.800000000 
173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.279000000 178.209000000 188.139000000 202.884000000 213.884000000 213.884000000 213.884000000 155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 160.825000000 159.755000000 169.685000000 184.430000000 195.430000000 195.430000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.433000000 178.363000000 188.293000000 203.038000000 214.038000000 112.800000000 
173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.279000000 178.209000000 188.139000000 202.884000000 213.884000000 213.884000000 213.884000000 155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 160.825000000 159.755000000 169.685000000 184.430000000 195.430000000 195.430000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.433000000 178.363000000 188.293000000 203.038000000 214.038000000 112.800000000 
232.492000000 221.492000000 206.747000000 196.817000000 197.887000000 190.425000000 189.355000000 188.285000000 192.030000000 192.030000000 192.030000000 192.030000000 214.038000000 203.038000000 188.293000000 178.363000000 179.433000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 196.046000000 185.046000000 170.301000000 160.371000000 161.441000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 112.800000000 
221.492000000 232.492000000 217.747000000 207.817000000 208.887000000 190.425000000 189.355000000 188.285000000 192.030000000 192.030000000 192.030000000 192.030000000 203.038000000 214.038000000 199.293000000 189.363000000 190.433000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 173.730000000 185.046000000 196.046000000 181.301000000 171.371000000 172.441000000 153.825000000 152.755000000 151.685000000 155.430000000 155.430000000 112.800000000 
206.747000000 217.747000000 225.002000000 215.072000000 216.142000000 186.680000000 185.610000000 184.540000000 188.285000000 188.285000000 188.285000000 188.285000000 188.293000000 199.293000000 206.548000000 196.618000000 197.688000000 168.380000000 167.310000000 166.240000000 169.985000000 169.985000000 169.985000000 170.301000000 181.301000000 188.556000000 178.626000000 179.696000000 150.080000000 149.010000000 147.940000000 151.685000000 151.685000000 112.800000000 
196.817000000 207.817000000 215.072000000 227.142000000 228.212000000 187.750000000 186.680000000 185.610000000 189.355000000 189.355000000 189.355000000 189.355000000 178.363000000 189.363000000 196.618000000 208.688000000 209.758000000 169.450000000 168.380000000 167.310000000 171.055000000 171.055000000 171.055000000 160.371000000 171.371000000 178.626000000 190.696000000 191.766000000 151.150000000 150.080000000 149.010000000 152.755000000 152.755000000 112.800000000 
197.887000000 208.887000000 216.142000000 228.212000000 229.282000000 188.820000000 187.750000000 186.680000000 190.425000000 190.425000000 190.425000000 190.425000000 179.433000000 190.433000000 197.688000000 209.758000000 210.828000000 170.520000000 169.450000000 168.380000000 172.125000000 172.125000000 172.125000000 161.441000000 172.441000000 179.696000000 191.766000000 192.836000000 152.220000000 151.150000000 150.080000000 153.825000000 153.825000000 112.800000000 
190.425000000 190.425000000 186.680000000 187.750000000 188.820000000 229.282000000 228.212000000 216.142000000 208.887000000 197.887000000 197.887000000 197.887000000 172.125000000 172.125000000 168.380000000 169.450000000 170.520000000 210.828000000 209.758000000 197.688000000 190.433000000 179.433000000 179.433000000 153.825000000 153.825000000 150.080000000 151.150000000 152.220000000 192.836000000 191.766000000 179.696000000 172.441000000 161.441000000 112.800000000 
189.355000000 189.355000000 185.610000000 186.680000000 187.750000000 228.212000000 227.142000000 215.072000000 207.817000000 196.817000000 196.817000000 196.817000000 171.055000000 171.055000000 167.310000000 168.380000000 169.450000000 209.758000000 208.688000000 196.618000000 189.363000000 178.363000000 178.363000000 152.755000000 152.755000000 149.010000000 150.080000000 151.150000000 191.766000000 190.696000000 178.626000000 171.371000000 160.371000000 112.800000000 
188.285000000 188.285000000 184.540000000 185.610000000 186.680000000 216.142000000 215.072000000 225.002000000 217.747000000 206.747000000 206.747000000 206.747000000 169.985000000 169.985000000 166.240000000 167.310000000 168.380000000 197.688000000 196.618000000 206.548000000 199.293000000 188.293000000 188.293000000 151.685000000 151.685000000 147.940000000 149.010000000 150.080000000 179.696000000 178.626000000 188.556000000 181.301000000 170.301000000 112.800000000 
192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 208.887000000 207.817000000 217.747000000 232.492000000 221.492000000 221.492000000 221.492000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 190.433000000 189.363000000 199.293000000 214.038000000 203.038000000 203.038000000 155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 172.441000000 171.371000000 181.301000000 196.046000000 185.046000000 112.800000000 
192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 197.887000000 196.817000000 206.747000000 221.492000000 232.492000000 232.492000000 232.492000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 179.433000000 178.363000000 188.293000000 203.038000000 214.038000000 214.038000000 155.430000000 155.430000000 151.685000000 152.755000000 153.825000000 161.441000000 160.371000000 170.301000000 185.046000000 196.046000000 112.800000000 
210.330000000 210.330000000 206.585000000 207.655000000 208.725000000 208.725000000 207.655000000 206.585000000 210.330000000 210.330000000 210.330000000 210.330000000 192.030000000 192.030000000 188.285000000 189.355000000 190.425000000 190.425000000 189.355000000 188.285000000 192.030000000 192.030000000 192.030000000 173.730000000 173.730000000 169.985000000 171.055000000 172.125000000 172.125000000 171.055000000 169.985000000 173.730000000 173.730000000 112.800000000 
# fixation of the spacebar to the bottom
1
33 33
# scale for rounding down the probabilities
1e6