Input: 0.18574949 0.003492933 0.0035334544 0.003266014 0.0032417013 0.0030553034 0.0031606588 0.0030877204 0.0033470565 0.0031444503 0.003492933 0.0030877204 0.0033389523 0.0031039289 0.0029013227 0.0032822224 0.0037603735 0.0030796162 0.0032822224 0.0029175312 0.0029661567 0.0033227438 0.0030471992 0.0029985737 0.0031039289 0.0033227438 0.003298431 0.0030877204 0.0030066778 0.0031849714 0.0032741183 0.0028445928 0.0031768673 0.0033146394 0.0031930758 0.00320118 0.0033794735 0.0032092843 0.0030390949 0.0030147822 0.0030147822 0.0030634077 0.0031120332 0.0031849714 0.0030390949 0.0031282417 0.0031282417 0.0031768673 0.0031930758 0.0032579098 0.0031606588 0.0032498054 0.0030228863 0.0029985737 0.0034118905 0.0030390949 0.0033470565 0.0028040716 0.003395682 0.0035091415 0.0030390949 0.0029499482 0.0031120332 0.0031606588 0.003395682 0.0029904693 0.0031606588 0.003233597 0.0033146394 0.003233597 0.0031849714 0.003266014 0.0031606588 0.0031039289 0.003330848 0.0031930758 0.0033227438 0.003168763 0.0030553034 0.0031930758 0.0030877204 0.003395682 0.0032173884 0.0033875778 0.0031120332 0.003752269 0.0031201374 0.0032579098 0.0034118905 0.0030715119 0.0032579098 0.0029337397 0.0030471992 0.0029742608 0.0030147822 0.0032092843 0.003363265 0.0029013227 0.0030634077 0.003298431 0.003557767 0.0033794735 0.0032173884 0.0030390949 0.0031120332 0.0033794735 0.0031930758 0.0032417013 0.0031120332 0.0030309907 0.0030147822 0.0032903268 0.003298431 0.0029580523 0.003330848 0.003428099 0.0032741183 0.0034199948 0.0030471992 0.0031039289 0.0031606588 0.003460516 0.0029499482 0.0028608013 0.0032741183 0.0031039289 0.0030390949 0.0033227438 0.0031120332 0.0029256353 0.0029904693 0.0031606588 0.0031282417 0.0032822224 0.0029499482 0.0029823652 0.0032417013 0.0032254928 0.0033875778 0.0038008946 0.003363265 0.003395682 0.0033470565 0.0032903268 0.0032254928 0.0029823652 0.0033794735 0.0032579098 0.0030228863 0.0030715119 0.0032498054 0.0032417013 0.0033875778 0.003298431 0.0031120332 0.0032498054 0.0030553034 0.0029580523 0.003168763 0.0032092843 0.0027797588 0.0030634077 0.0031444503 0.0029661567 0.0030309907 0.0030309907 0.0031930758 0.0030796162 0.0032092843 0.0033713693 0.0034686204 0.0030147822 0.0031768673 0.003266014 0.0032903268 0.0029985737 0.00320118 0.0033713693 0.0032579098 0.0031768673 0.0032173884 0.003233597 0.003168763 0.0030147822 0.0032903268 0.003168763 0.0032903268 0.0030877204 0.0031444503 0.003168763 0.0033146394 0.0031039289 0.0029499482 0.0030877204 0.0030147822 0.0033389523 0.0030309907 0.00320118 0.0032173884 0.0033713693 0.0033146394 0.0033227438 0.0032417013 0.0029661567 0.003136346 0.0033470565 0.0030228863 0.0028770098 0.0029985737 0.0030228863 0.0032173884 0.0033470565 0.0033065353 0.0029094268 0.003330848 0.0031120332 0.003136346 0.0032822224 0.0033065353 0.0032822224 0.0031444503 0.0030066778 0.003363265 0.003428099 0.0032903268 0.0031282417 0.003168763 0.003136346 0.0031282417 0.0034524119 0.003428099 0.0032498054 0.0032498054 0.0033794735 0.0029256353 0.0032173884 0.0030877204 0.0032498054 0.0031120332 0.0030228863 0.0034037863 0.003168763 0.0031525544 0.0030958247 0.003460516 0.0032254928 0.003428099 0.0031606588 0.0034686204 0.0030553034 0.0031444503 0.0031282417 0.003428099 0.0030066778 0.0029904693 0.004473548 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008189995 8.206408e-06 1.23096115e-05 2.4619223e-05 8.206408e-06 1.6412816e-05 1.6412816e-05 2.051602e-05 1.23096115e-05 1.23096115e-05 4.103204e-06 2.8722427e-05 2.051602e-05 4.103204e-06 2.051602e-05 4.103204e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059701614 0.00016002495 3.6928835e-05 4.9238446e-05 0.0002174698 0.00018054097 6.975447e-05 4.9238446e-05 0.00059496454 3.2825632e-05 5.334165e-05 6.975447e-05 0.000114889706 4.103204e-06 0.00016412816 0.0006359966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008009454 0.0006483062 0.00035287553 0.00039390757 0.0006072742 0.00060317095 0.00077960873 0.0005539325 0.0010832459 0.00033646272 0.00029543068 0.0004144236 0.00045545562 0.00028722428 0.00057444855 0.0014115021 0.003951385 0.00024208902 0.0003077403 0.0003241531 0.00034056592 0.00027901787 0.00041032038 0.00028722428 0.00023798582 0.0003282563 0.00025439865 0.00025850185 0.0003200499 0.0003282563 0.0003241531 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05052685 0.049751345 0.050198596 0.050169874 0.0505884 0.050637636 0.050042674 0.05051044 0.050075497 0.050707392 0.050075497 0.050978202 0.05005088 0.05113823 0.050625328 0.050645843 472.0 5.851695 2762.0 0.010499638 0.009413469 0.011585807 0.0072411294 0.010499638 0.011585807 0.009775525 0.009413469 0.010137581 0.010861695 0.010499638 0.0057929037 0.010137581 0.008689355 0.01339609 0.010499638 0.010861695 0.01230992 0.010137581 0.009051412 0.011585807 0.01230992 0.011947864 0.009775525 0.01339609 0.007603186 0.009775525 0.01230992 0.010137581 0.010861695 0.011223751 0.009051412 0.010137581 0.010499638 0.01230992 0.010137581 0.011223751 0.01230992 0.009775525 0.012671977 0.010499638 0.010861695 0.009051412 0.010137581 0.013034034 0.009051412 0.010861695 0.010499638 0.008689355 0.0079652425 0.011585807 0.009051412 0.009051412 0.009413469 0.009413469 0.010861695 0.008327299 0.007603186 0.011947864 0.0057929037 0.01339609 0.009051412 0.0079652425 0.009775525 0.010499638 0.01339609 0.009051412 0.010861695 0.011223751 0.01846488 0.009775525 0.009051412 0.009413469 0.010137581 0.010861695 0.013034034 0.013034034 0.007603186 0.010137581 0.011585807 0.014482259 0.008327299 0.016292542 0.014844316 0.015568429 0.01230992 0.0057929037 0.0079652425 0.0072411294 0.0141202025 0.0072411294 0.009051412 0.008327299 0.0072411294 0.008327299 0.009413469 6.552955 0.0 0.0 0.0 4.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 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 -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 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.248318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 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 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 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 60.0 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.12269638 0.0081571 0.0043429 0.0037009064 0.0069486406 0.005589124 0.0026057402 0.0026057402 0.007099698 0.0032099697 0.0039274925 0.0028323263 0.0045694862 0.002379154 0.0024546827 0.0043429 0.005060423 0.0031722055 0.0034365559 0.0024546827 0.0027567975 0.023753777 0.0020770393 0.0020770393 0.003021148 0.002379154 0.0020015105 0.002379154 0.002152568 0.0018882175 0.0022280966 0.0015483383 0.004305136 0.0026812688 0.0040407856 0.0022280966 0.0027190333 0.0022280966 0.0022280966 0.0022280966 0.0029833836 0.0025679758 0.0026435046 0.0026812688 0.0018504532 0.0018882175 0.002379154 0.002265861 0.009441088 0.0017749245 0.002379154 0.0035120845 0.0020770393 0.0020770393 0.0021903324 0.0021903324 0.0028323263 0.0021903324 0.0018126888 0.0022280966 0.0022280966 0.0018504532 0.0023036255 0.0009818731 0.0036253775 0.0032854986 0.002794562 0.0028323263 0.0027567975 0.0055513596 0.0024924472 0.0020015105 0.0029833836 0.0027567975 0.002265861 0.0022280966 0.0020770393 0.004456193 0.0024924472 0.0015483383 0.0055513596 0.0030589125 0.002039275 0.0029833836 0.0025679758 0.024093656 0.003889728 0.0028700905 0.0021903324 0.0033610272 0.0017371601 0.002265861 0.0018882175 0.003134441 0.0034365559 0.0024546827 0.0024924472 0.0024546827 0.0024924472 0.0024546827 0.0028323263 0.0031722055 0.0024924472 0.002039275 0.004531722 0.0033232628 0.0055513596 0.0015861028 0.025075529 0.0017371601 0.0034365559 0.0024546827 0.0024546827 0.0019259818 0.003549849 0.002794562 0.005060423 0.0043429 0.0021903324 0.0023413897 0.0025302116 0.0016993958 0.002379154 0.002039275 0.002152568 0.0030589125 0.0025302116 0.0012084593 0.003134441 0.003021148 0.0027567975 0.004833837 0.0032477342 0.006117825 0.0018882175 0.0017749245 0.0035120845 0.004607251 0.0024924472 0.03429003 0.0020015105 0.0067598186 0.0014728097 0.0018882175 0.00407855 0.0020770393 0.0018882175 0.0020015105 0.0021903324 0.0018504532 0.0015483383 0.0017371601 0.0024924472 0.001510574 0.0022280966 0.0016616314 0.0017371601 0.0015483383 0.0019259818 0.0017749245 0.0026812688 0.0026057402 0.002039275 0.0023036255 0.0016238671 0.025566466 0.0016238671 0.0018882175 0.002379154 0.0028323263 0.002265861 0.002265861 0.0020015105 0.0014728097 0.0024169185 0.0014350453 0.002152568 0.0018504532 0.0023413897 0.0016616314 0.002039275 0.0018504532 0.0016616314 0.0016238671 0.0030589125 0.0014350453 0.0016238671 0.0017749245 0.0016993958 0.0013595166 0.0019637463 0.0015483383 0.0048716012 0.0024546827 0.0034365559 0.0032854986 0.0025302116 0.001397281 0.0037386706 0.0022280966 0.0029456194 0.002265861 0.0023036255 0.002265861 0.0239426 0.0013595166 0.0026435046 0.0015483383 0.0023036255 0.0021148035 0.0024924472 0.0016993958 0.0020015105 0.0019259818 0.0017749245 0.0016238671 0.0026435046 0.0021903324 0.0022280966 0.0016238671 0.0024546827 0.001510574 0.0015483383 0.0016238671 0.0031722055 0.0016993958 0.002152568 0.0018504532 0.0021148035 0.0017371601 0.0016616314 0.001397281 0.031004531 0.0040407856 0.0020770393 0.003134441 0.0035876133 0.0010196374 0.0018126888 0.0011706948 0.0035120845 0.0019637463 0.0014728097 0.0015483383 0.0021903324 0.0014728097 0.0024169185 0.0016616314 0.0026812688 0.0019259818 0.0016238671 0.0019637463 0.005589124 0.0029456194 0.0033610272 0.044070996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01993815 0.0022786458 0.001566569 0.0010986328 0.001159668 0.0018513998 0.001953125 0.0014648438 0.0024617512 0.0006510417 0.001566569 0.0004679362 0.0014444987 0.0006713867 0.0015258789 0.001566569 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.15612793 0.060994465 0.040547688 0.041748047 0.04547119 0.06663004 0.06687418 0.040893555 0.08229574 0.032368977 0.056315105 0.02976481 0.06315104 0.031534832 0.063456215 0.08015951 79.0 6.1392407 485.0 0.022680413 0.0020618557 0.012371134 0.012371134 0.0041237115 0.006185567 0.010309278 0.010309278 0.010309278 0.010309278 0.0041237115 0.01443299 0.0041237115 0.010309278 0.016494846 0.0 0.012371134 0.0041237115 0.012371134 0.018556701 0.0041237115 0.0041237115 0.006185567 0.016494846 0.01443299 0.0041237115 0.008247423 0.0020618557 0.0041237115 0.010309278 0.008247423 0.0041237115 0.01443299 0.0041237115 0.018556701 0.008247423 0.01443299 0.010309278 0.012371134 0.010309278 0.016494846 0.006185567 0.0041237115 0.010309278 0.006185567 0.020618556 0.010309278 0.008247423 0.012371134 0.008247423 0.006185567 0.006185567 0.020618556 0.045360826 0.016494846 0.006185567 0.008247423 0.01443299 0.0041237115 0.0041237115 0.0 0.0020618557 0.008247423 0.010309278 0.012371134 0.020618556 0.010309278 0.010309278 0.012371134 0.008247423 0.012371134 0.010309278 0.008247423 0.018556701 0.016494846 0.006185567 0.045360826 0.012371134 0.01443299 0.010309278 0.016494846 0.0020618557 0.022680413 0.008247423 0.022680413 0.006185567 0.0041237115 0.0041237115 0.012371134 0.0 0.010309278 0.0041237115 0.0041237115 0.006185567 0.008247423 0.006185567 6.2657657 0.0 0.0 0.0 1.0 26480.0 618496.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1320577000.0 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 10.0 0.0 5.0 1.0 5.0 1.0 102400.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54784.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -102400.0 0.0 370176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.10608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54394.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -101896.0 0.0 369896.0 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 0.0 0.0 160.0 156540.0 369896.0 245760.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 107312.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 154344.0 0.0 0.0 748.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.29612556 0.019044697 0.007775605 0.011086924 0.0040676654 0.009408206 0.0030115482 0.00063643744 0.006551155 0.00123598 0.0013074639 0.0005073052 0.0005787891 0.0011252952 0.000514223 0.003223694 0.0042359983 0.001095318 0.00055111793 0.0005695654 0.00059031876 0.0018032393 0.00040584416 0.000445045 0.0024189234 0.001369724 0.00041045604 0.00038970262 0.0006641086 0.0003873967 0.00031591277 0.00041276196 0.017864062 0.0005926247 0.0010468934 0.00032974838 0.044202425 0.0007655697 0.0003528077 0.00039662042 0.0060184845 0.00047502213 0.00042890347 0.00066872046 0.00055342383 0.0004934696 0.0013766418 0.00094312645 0.005764832 0.0006087662 0.0014435139 0.002190636 0.000719451 0.0003320543 0.00063643744 0.00031591277 0.0047686687 0.0009362087 0.0007332866 0.00064566114 0.00043351535 0.0005649535 0.0004012323 0.0010123044 0.008654165 0.0040561357 0.0008370536 0.0018608877 0.017582737 0.006101498 0.0022713437 0.00094082055 0.06381899 0.0047571394 0.00040584416 0.0005764832 0.019948624 0.0044043316 0.0026472108 0.003329767 0.006714876 0.0006018484 0.0059054936 0.0018862529 0.007369761 0.0025826446 0.0010146104 0.0012083087 0.0032306118 0.0006641086 0.00063643744 0.0003043831 0.00058109505 0.0011714138 0.00039662042 0.0070676836 0.00253422 0.009030033 0.0015034681 0.0041737384 0.0036226204 0.01042051 0.0021145402 0.003258283 0.0037748117 0.0055665215 0.000308995 0.001406619 0.004021547 0.0015887877 0.0060576852 0.00505691 0.0036779626 0.00039662042 0.0065027303 0.0047594453 0.008031564 0.0033689677 0.001129907 0.00091776124 0.002061504 0.0010330578 0.0003389721 0.00029285345 0.0008255239 0.00039662042 0.0006710264 0.0002259814 0.0067171818 0.00089009 0.00042429162 0.0087348735 0.0050984174 0.002331298 0.00031360684 0.0002813238 0.0021399055 0.014218381 0.0003043831 0.032398354 0.005105335 0.008412043 0.0003597255 0.00025595853 0.0030715023 0.0002605704 0.00029515938 0.00073789846 0.001750203 0.00027901787 0.00032052465 0.00021675767 0.0016326003 0.00023751106 0.00020753394 0.0002467348 0.00037586704 0.0002467348 0.00019600429 0.00019369835 0.0020453623 0.00061799 0.00064566114 0.00089009 0.0005695654 0.0004173738 0.00045426874 0.0005303645 0.0011460485 0.0006641086 0.0007678756 0.00052575266 0.0007355925 0.00049808144 0.00045426874 0.00045888062 0.0016026233 0.00026979414 0.00039892635 0.00027901787 0.0003320543 0.00026979414 0.0015980114 0.00045888062 0.00137203 0.00071483915 0.00062260183 0.0003597255 0.0004173738 0.00029054753 0.00072406285 0.0002882416 0.0055388506 0.0010999299 0.0003320543 0.004113784 0.003943145 0.00026518226 0.0010422816 0.0020407503 0.0032306118 0.00059723656 0.00034819584 0.00036433738 0.025561264 0.0004150679 0.000308995 0.0003043831 0.0023405217 0.00051883486 0.0006133781 0.00030668906 0.000274406 0.00023520514 0.00032974838 0.00026979414 0.00095696206 0.0003043831 0.00032052465 0.00030207718 0.00026979414 0.00029285345 0.0002813238 0.00026287633 0.0014573495 0.0002190636 0.00030668906 0.00021675767 0.00024904072 0.00020983987 0.00023520514 0.00020061615 0.016314473 0.0012036968 0.0011529664 0.0022552023 0.0037148576 0.00025826445 0.00025826445 0.00020522802 0.0011114596 0.00024212293 0.00029746533 0.00040815008 0.00029746533 0.00027210006 0.00034127804 0.00033666618 0.0011783316 0.00034127804 0.00033666618 0.00027210006 0.0005003874 0.0005557298 0.0028270734 0.022284534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00789118 4.8596714e-05 5.4382035e-05 3.818313e-05 0.00021174282 0.00010644994 0.00020132924 0.00029505146 3.5869e-05 3.7026068e-05 2.1984228e-05 3.818313e-05 4.1654326e-05 3.5869e-05 2.8926614e-05 0.0003922449 0.011412128 0.000376046 0.00037257478 8.099452e-05 9.4879295e-05 6.942388e-05 0.00021405694 9.835049e-05 0.00015041839 0.00042811388 0.00032744926 0.00022909879 6.2481486e-05 4.9753777e-05 9.603636e-05 0.00015620372 0.0156412 0.0003853025 0.00036794654 0.00021058576 0.00026612484 0.00023951237 0.00043042802 0.0003529047 0.0015736078 0.0004246427 0.0002545542 0.0002938944 0.00015736079 8.330865e-05 0.00025918247 0.00038645958 0.12673444 0.0006363855 0.008425744 0.0009788766 0.021008821 0.013877832 0.03347272 0.012101739 0.0019253554 0.00045819758 0.00034133406 0.00041075793 0.0005820035 0.00052415027 0.0003135645 0.0009568924 0.07060177 0.0014474877 0.004569248 0.002116271 0.00809251 0.006088474 0.01391023 0.005964668 0.0011663211 0.0004732394 0.0005704328 0.00049869483 0.00084465713 0.00045472637 0.0005160508 0.0035383035 0.0125240665 0.0011744206 0.00067456864 0.0013607079 0.0028255517 0.0019195701 0.004156176 0.0028810909 0.00035869 0.00018050207 0.00019207272 0.00017703087 0.00024992594 0.0001469472 0.00018628739 0.0017980783 0.016252128 0.0005357209 0.0008712696 0.0012947553 0.0035186333 0.0027908396 0.0047763623 0.003600785 0.0012704569 0.000985819 0.0011188814 0.0006548985 0.0010506146 0.00072085124 0.00042348565 0.00041885738 0.023893384 0.0007243224 0.0061544264 0.0013456661 0.0076215845 0.0013734356 0.001450959 0.0014532731 0.010396225 0.002148669 0.003509377 0.0014012052 0.0020375906 0.00091292395 0.0028139811 0.0014833568 0.051601607 0.0060491334 0.035851646 0.00838409 0.062481485 0.00843153 0.0034619372 0.0041260924 0.044384997 0.0032895345 0.002366197 0.0035001202 0.02748144 0.0024228932 0.014278177 0.010988642 0.02943688 0.004678012 0.01934612 0.005715899 0.036471833 0.0065154308 0.0024691757 0.0037778157 0.026963076 0.0018235338 0.001829319 0.0027514996 0.017111829 0.0024934742 0.009581652 0.011498908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 806.0 18.738213 15103.0 0.008938622 0.0009269682 0.0031119646 0.00019863603 0.038402967 0.0 0.00013242401 0.0 0.0017877243 6.621201e-05 0.00019863603 0.0033106005 0.00013242401 0.0021187842 0.0045024166 0.00086075615 0.007879229 0.0024498445 0.009534529 0.006157717 0.0013242402 0.0007945441 0.006687413 0.0005959081 0.006356353 0.014500431 0.0004634841 0.0037740846 0.0018539364 0.0009931802 0.0018539364 0.019664967 0.07078064 0.029861616 0.005959081 0.0027146924 0.029596768 0.020194663 0.0017877243 0.0017215123 0.03827054 0.0054955967 0.0009931802 0.0004634841 0.016685426 0.0105277095 0.0016553003 0.004965901 0.010924982 0.004303781 0.0011256041 0.004568629 0.0023174204 0.009865589 0.0087399855 0.012447858 0.013043766 0.0006621201 0.008144077 6.621201e-05 0.0011918162 0.00039727206 0.0011918162 0.03754221 0.0015890882 0.04866583 0.010792558 0.03562206 0.016950274 0.062371716 0.0071508973 0.014963915 0.007879229 0.020922996 0.0 0.0024498445 0.014699066 0.011322254 0.024432233 0.018208303 0.008144077 0.00033106006 0.05032113 0.048996888 0.048864465 0.017281335 0.0015228762 0.0033106005 0.008607562 0.0050983247 0.00039727206 0.00033106006 0.00013242401 0.00052969606 6.621201e-05 0.00026484803 5.4643545 1.0 0.0 0.0 3.0 433664.0 450560.0 1.0 3.0 214.0 1.0 1.0 0.0 0.0 0.0 1491254100.0 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 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 0.0 0.0 -2.0 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 12.0 0.0 6.0 0.0 6.0 0.0 224256.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166912.0 0.0 0.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -224256.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.428352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0435314 0.0 0.0 0.0 0.0 5.586667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9046412 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.537506 0.0 4.6796126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166832.0 0.0 0.0 0.0 0.0 17484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -223792.0 0.0 1784.0 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 -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 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 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 -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 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 -1.0 -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 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 -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 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 -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 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 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 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 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 0.0 0.0 0.0 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 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 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 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 -2.0 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 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 -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 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 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 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 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 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 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 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 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 -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 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -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 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 1.0 0.0 0.0 -2.0 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 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 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 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 -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 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 0.0 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 -1.0 -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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 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 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 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 -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 -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 -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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 384592.0 160.0 384732.0 1784.0 442368.0 17484.0 421888.0 0.0 0.0 3336.0 446464.0 56.0 231600.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 353760.0 0.0 0.0 1768.0 229376.0 0.0 0.0 0.0 0.0


Input: 0.2553682 0.010255718 0.0048423903 0.00601029 0.0114496425 0.0049237204 0.0036891305 0.001800647 0.007721474 0.0019210156 0.0014379151 0.0012557358 0.006750393 0.0018217929 0.0011012087 0.0055011637 0.011399218 0.0012410964 0.0012053112 0.0010865693 0.00328736 0.003682624 0.0010947023 0.0010719299 0.0019454146 0.0011239811 0.00087185804 0.0009840935 0.0017079308 0.0008620984 0.0008848708 0.00094017526 0.0044487533 0.0010524107 0.0011191013 0.00095969444 0.002628587 0.001629854 0.0009922265 0.0008848708 0.0013386925 0.00096620084 0.0008116738 0.0013582116 0.0011402471 0.0012443496 0.0011955516 0.00088649744 0.0032369355 0.0024399012 0.0020787958 0.0032564548 0.0018071535 0.0018624578 0.0029002293 0.0014395417 0.0021259673 0.0020153583 0.0018478185 0.0025049653 0.001703051 0.0016997978 0.0013647181 0.0011792856 0.0017355831 0.0042145224 0.0017990205 0.0029961986 0.0036045474 0.022243766 0.0019568007 0.002260975 0.0025570164 0.0031946439 0.0009775871 0.0017095574 0.0021617524 0.005806965 0.0026855178 0.0016802786 0.010805509 0.005634545 0.004006318 0.004624426 0.004388569 0.0063144644 0.003332905 0.0027001572 0.0024903258 0.002823779 0.0011744058 0.002273988 0.0013630914 0.0022235634 0.002168259 0.005888295 0.0014720737 0.0030547562 0.0014362885 0.0033833296 0.002517978 0.004570748 0.0023113997 0.0031653652 0.0035671354 0.0030287306 0.0052653067 0.0014314087 0.0024041159 0.0016103347 0.0028140193 0.0029441474 0.003951013 0.0012085644 0.0031263267 0.002195911 0.008879614 0.006185963 0.0015468973 0.0013110403 0.0015599101 0.0017339564 0.0011060885 0.0007921546 0.0013809841 0.005587374 0.0011809121 0.0028904695 0.00230652 0.00205765 0.0015940687 0.017960927 0.0026708785 0.010509468 0.0013175466 0.0014102629 0.002661119 0.008956064 0.0022430825 0.024647882 0.002106448 0.006538935 0.0013517053 0.0015094855 0.0017746214 0.0013435723 0.0012085644 0.00123459 0.0014167692 0.0018136599 0.0012931476 0.0012004314 0.0015257515 0.0014021299 0.0011467536 0.0010751832 0.0013500786 0.0011012087 0.0011060885 0.0014330352 0.0015485239 0.0020153583 0.0011272343 0.0012931476 0.0015680431 0.0014135161 0.0011109683 0.0015534038 0.0015387643 0.0014850865 0.00115326 0.0011939249 0.0015924422 0.0011256078 0.00115326 0.0011597663 0.0047334083 0.0013891171 0.001226457 0.0013370658 0.0020885554 0.0013386925 0.004022584 0.0014281555 0.0021097013 0.0016493732 0.0013728511 0.0012492294 0.0017778747 0.0020055987 0.0023650776 0.0014135161 0.0054702586 0.0023618243 0.0020934353 0.0031442193 0.008416032 0.0017323298 0.0023179061 0.009422898 0.002168259 0.0031035542 0.0013175466 0.0040795146 0.006921186 0.0013500786 0.0013110403 0.0014395417 0.002168259 0.0014249022 0.0015241249 0.0012703752 0.0018933633 0.001088196 0.0012248304 0.0011500068 0.0019974657 0.0011792856 0.00123459 0.0012004314 0.0019291486 0.0011060885 0.0011971781 0.0038469108 0.0026497326 0.0012150708 0.001096329 0.0010475309 0.0027814873 0.0017388363 0.0011630196 0.0010654235 0.010868946 0.003809499 0.0011467536 0.004499178 0.004946493 0.0010637969 0.0026350932 0.0012980275 0.005097767 0.0014216491 0.0015176185 0.0015517771 0.004469899 0.0010865693 0.0021210874 0.0019665603 0.0069098 0.0025781621 0.0013809841 0.0017502224 0.0073733814 0.0023390518 0.005097767 0.03464985 0.17028381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001608312 0.0 0.0 0.0 1.22274105e-05 6.5212853e-06 1.8748695e-05 2.3639659e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030723405 8.314639e-05 1.7118375e-05 9.781928e-06 7.3364463e-06 4.0758036e-06 4.0758036e-06 1.14122495e-05 5.7061247e-06 1.22274105e-05 5.7061247e-06 4.890964e-06 6.032189e-05 8.966767e-06 6.5212853e-06 2.5269981e-05 0.0 0.0 0.0 0.0 0.0025041737 0.0008347245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041630254 0.00012064378 3.1791267e-05 3.749739e-05 4.4018678e-05 5.624609e-05 9.1297996e-05 7.825543e-05 1.5488053e-05 2.2824499e-05 6.5212853e-06 7.66251e-05 0.00014754408 1.5488053e-05 3.749739e-05 6.3582534e-05 0.0052634925 0.00020379017 0.00012064378 0.00027144852 0.000104340565 8.151607e-05 0.0001907476 0.00010352541 3.586707e-05 5.950673e-05 3.1791267e-05 2.6085141e-05 7.091898e-05 2.4454821e-05 2.6085141e-05 6.3582534e-05 0.0012814326 9.0482834e-05 5.787641e-05 4.0758036e-06 3.0160945e-05 3.0160945e-05 2.7715463e-05 2.6085141e-05 1.22274105e-05 2.6085141e-05 1.3042571e-05 3.2606426e-06 1.9563857e-05 8.151607e-06 5.7061247e-06 3.3421587e-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 0.002977782 3.668223e-05 0.00028775173 0.00085510354 0.0032255908 0.0022645164 0.0022653316 0.0010645998 0.00013124087 8.966767e-06 1.22274105e-05 6.5212853e-06 7.988574e-05 8.966767e-06 5.869157e-05 7.173414e-05 0.0028041527 8.722219e-05 0.00068473496 0.000497248 0.0022816348 0.0019139973 0.003829625 0.001937637 0.00017688987 2.2009339e-05 5.787641e-05 0.00010352541 5.869157e-05 0.00012390442 3.668223e-05 0.00040921065 0.0050254655 0.00026085143 0.0012154046 0.0018341115 0.004977371 0.004260845 0.0050401385 0.0027666553 0.00025025432 0.00010515573 8.396155e-05 0.00018341116 0.00023965724 0.00021846306 0.00010352541 0.00014591376 0.009942515 0.000994496 0.0009455864 0.007802718 0.0031082076 0.0026036233 0.0035060062 0.00271367 0.009238216 0.006270216 0.0037228388 0.006256358 0.0043113846 0.003241894 0.0026370448 0.007830434 0.034002796 0.0050164987 0.0025775381 0.0028571382 0.01126063 0.010715287 0.0062661404 0.0065832376 0.020555908 0.0019017699 0.0026647602 0.006421836 0.013987342 0.0030478858 0.00809047 0.017640077 0.059186373 0.013441185 0.005371909 0.006249837 0.01976031 0.02110125 0.009419181 0.013007519 0.039853204 0.0039747236 0.0070527704 0.0074652415 0.022570984 0.0094363 0.01905112 0.035211682 0.0179531 0.006090881 0.0041418313 0.005697158 0.006705512 0.010526985 0.006339505 0.00860076 0.0122926235 0.0023509234 0.0018235145 0.0033446043 0.0077562537 0.0026875848 0.0061348993 0.012745853 0.0075565395 0.0069842967 0.007192163 0.00735764 0.007651098 0.007916841 0.008015475 0.0077456567 0.00743182 0.0066614933 0.0065661194 0.007639686 0.007443232 0.0066239955 0.006879956 0.0071954234 2947.0 14.903631 43921.0 0.029052163 0.0020035973 0.0017303795 0.0012067121 0.002390656 0.0056009656 0.0014571617 0.001798684 0.002390656 0.0016848432 0.0010928713 0.0012294803 0.0016165387 0.006693837 0.0040754993 0.0020491336 0.012522483 0.014890371 0.00949432 0.0047357758 0.0053277477 0.00899342 0.007217504 0.0065116915 0.006170169 0.007240272 0.012909542 0.0032786138 0.004986225 0.0056920378 0.0050317617 0.0030737005 0.001958061 0.022881992 0.006762141 0.028346349 0.027663305 0.020013206 0.009152797 0.017508708 0.0056692697 0.03164773 0.0016848432 0.011839439 0.014571617 0.008037157 0.020172583 0.008446984 0.02684365 0.0030737005 0.012522483 0.029416453 0.014526081 0.0069670547 0.010496118 0.0073085767 0.014730995 0.005555429 0.0020035973 0.0021174382 0.0024361922 0.0018214522 0.0018669885 0.0500444 0.0022085106 0.024703445 0.0051456024 0.013865804 0.016529677 0.04792696 0.008925116 0.009539856 0.007035359 0.026297215 0.0032103094 0.0053049796 0.016210925 0.008333144 0.02575078 0.027617767 0.01158899 0.0030509324 0.027071333 0.016097084 0.0367478 0.009881378 0.005874183 0.0045308624 0.003460759 0.00899342 0.00209467 0.0014116254 0.001662075 0.0017759159 0.0017076114 0.0032103094 5.9855366 0.0 1.0 0.0 4.0 614779.0 622592.0 1.0 336.0 430.0 1.0 1.0 0.0 0.0 0.0 1321941500.0 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 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 112128.0 4096.0 4096.0 7.0 0.0 0.0 3.0 3.0 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 114688.0 0.0 0.0 0.0 0.0 0.0 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 -466944.0 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 -5.9635158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4918575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6676341 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.281708 0.0 3.6544497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12330.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111697.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -466923.0 0.0 1008.0 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 -3.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 2.0 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 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 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 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 2.0 0.0 0.0 1.0 0.0 0.0 1.0 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 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 -1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 1.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 2.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 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 1.0 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 0.0 0.0 0.0 0.0 1.0 -2.0 -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 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 1.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 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 -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 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 0.0 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 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 -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 -1.0 1.0 0.0 2.0 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 -1.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 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 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 1.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 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 1.0 -2.0 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -4.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 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 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 1.0 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 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 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 1.0 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 1.0 -1.0 -2.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 2.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 1.0 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 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 1.0 -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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 -1.0 -3.0 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 0.0 0.0 0.0 0.0 -2.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 1.0 1.0 0.0 -1.0 -2.0 -5.0 -1.0 -1.0 2.0 -1.0 2.0 -2.0 -1.0 -1.0 2.0 4.0 -1.0 1.0 0.0 2.0 1.0 1.0 2.0 -2.0 1.0 1.0 1.0 -1.0 0.0 2.0 -1.0 0.0 2.0 2.0 -1.0 2.0 -3.0 -1.0 0.0 2.0 -2.0 0.0 2.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 2.0 0.0 1.0 -2.0 0.0 -1.0 4.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 -4.0 1.0 -1.0 -3.0 -2.0 -1.0 -2.0 2.0 0.0 4.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 1.0 -2.0 -1.0 -2.0 -1.0 1.0 2.0 0.0 2.0 2.0 1.0 1.0 1.0 0.0 -2.0 1.0 -3.0 1.0 -1.0 0.0 -4.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 10785.0 383536.0 120.0 372932.0 1008.0 413696.0 0.0 0.0 0.0 0.0 9784.0 417792.0 28.0 284480.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 371152.0 0.0 0.0 1792.0 282624.0 0.0 0.0 0.0 0.0


Input: 0.14165895 0.0072196056 0.0031866273 0.0033543445 0.005772268 0.003688226 0.0019986304 0.0018650776 0.0075115575 0.0013991966 0.0016430076 0.0014255964 0.004383942 0.0013339731 0.0011134561 0.0034382031 0.005598339 0.001486161 0.0011709147 0.0008944919 0.002402394 0.001978442 0.0007702569 0.0008230568 0.0022331239 0.0007376452 0.0008121862 0.0006755277 0.001509455 0.0005637162 0.0005745868 0.00055129273 0.0038559432 0.0005373163 0.0005870103 0.000520234 0.003944461 0.0014628669 0.000445693 0.00051402225 0.0009177859 0.0006320455 0.0005637162 0.00080131565 0.0010063034 0.0027114286 0.0006724218 0.00043171656 0.0070565473 0.0032766978 0.0046991883 0.010382939 0.004787706 0.0023666765 0.0042534955 0.0020188184 0.0054430454 0.0024117117 0.0006537866 0.0013898789 0.0017299722 0.0009923269 0.00046898707 0.00051091635 0.011775924 0.0042752363 0.0053157043 0.009379742 0.0038699198 0.035183348 0.0032254509 0.0029024398 0.0037006496 0.003640085 0.0009814564 0.0011103501 0.0023014531 0.0042426246 0.0011196678 0.0014954787 0.008440214 0.002133736 0.0020250303 0.009932587 0.0030887923 0.014302553 0.0026446523 0.0017610309 0.0019442776 0.006654336 0.0027424872 0.0027160873 0.0016181606 0.004840506 0.0018448895 0.0038497315 0.005452363 0.0049756113 0.0019147717 0.0037705319 0.009494659 0.006495937 0.0038947668 0.001809172 0.007556593 0.004582718 0.0032565095 0.0016523253 0.0032301096 0.001953595 0.0045532123 0.0040205545 0.0030639453 0.0017253134 0.005095187 0.004283001 0.009375082 0.0052706692 0.0020421126 0.0013588201 0.0027222992 0.0012439028 0.0004907282 0.0005031517 0.0015203257 0.0026415463 0.001040468 0.0008820684 0.0043016365 0.0011584912 0.0011647029 0.008679367 0.002751805 0.0027222992 0.0010327033 0.0005745868 0.002622911 0.015784055 0.0021011243 0.048373997 0.001236138 0.011516583 0.00095505646 0.00070192764 0.0024862527 0.00043482243 0.0007267747 0.0005606104 0.0011709147 0.00092710357 0.0016072901 0.0006071985 0.0012175029 0.00058235147 0.00054042216 0.0007252217 0.000891386 0.00045190475 0.00046277532 0.0004332695 0.0008525626 0.003147804 0.00048141056 0.0028046048 0.0014224906 0.0007081394 0.0005606104 0.00046277532 0.0010218327 0.00047985764 0.00054042216 0.000495387 0.0008370332 0.0004255048 0.0008075274 0.00039755195 0.0011491736 0.00073298643 0.0017951955 0.0005171281 0.00088051544 0.00072211586 0.0007407511 0.0015327492 0.002969216 0.0022967942 0.0052706692 0.000742304 0.0010078563 0.0005031517 0.0008121862 0.0007500687 0.011845806 0.0012749615 0.0023604648 0.009399929 0.004433636 0.0011227736 0.003121404 0.0034568384 0.0018511013 0.0018122778 0.0009861152 0.0013463966 0.0016523253 0.0010109622 0.0011010326 0.0010466798 0.0028915692 0.0012159499 0.0030158043 0.0012687498 0.0019023482 0.0008494567 0.0015933136 0.00089759775 0.0029583455 0.00069416297 0.0009985387 0.0017020192 0.0015218785 0.000767151 0.0005606104 0.00088051544 0.002549923 0.0007516217 0.0009038095 0.0011569383 0.002501782 0.0027114286 0.0005761397 0.000767151 0.026238428 0.0066263834 0.0011647029 0.0059772558 0.007075182 0.0011693618 0.0007252217 0.0007516217 0.0076684044 0.0010855031 0.0018759483 0.0009535035 0.009736917 0.0010559973 0.0021368416 0.0026586286 0.010744773 0.0035298264 0.0034506267 0.0041975896 0.015234315 0.004537683 0.004800129 0.07302222 0.0 0.0 0.0 0.00477145 0.0 0.0 8.566338e-06 4.6725477e-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 0.0027591395 0.0 0.0 0.0002686715 0.00016198166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012125261 0.0 0.0 0.00023284863 0.00014952153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010812276 0.0 0.0 0.0061373916 0.003783985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020489122 0.0 0.0 0.0016198166 0.0011159602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00069231587 4.6725477e-06 2.2583981e-05 8.4105865e-05 0.00018690192 9.500847e-05 7.787579e-06 9.345095e-06 1.946895e-05 0.0 0.0 2.3362738e-06 1.0123854e-05 3.8937897e-06 6.2300637e-06 0.0004501221 0.00765597 0.00025854766 0.00026789276 0.0006915371 0.0023993533 0.00061288255 0.003072979 0.0013371274 0.00024453 0.00012615879 0.000116034935 9.422971e-05 0.0008433949 0.00047737863 0.00050307764 0.0036274546 0.015621885 0.0007452714 0.0011401017 0.002596379 0.004675663 0.004405434 0.008042234 0.0036695076 0.00050852896 0.00027879534 0.00036290122 0.00040339664 0.002577689 0.0013659415 0.0013854104 0.011232026 0.0180446 0.001020173 0.0011665794 0.0030745366 0.00609456 0.0026049453 0.005781499 0.002812095 0.0023121324 0.00088544784 0.0010598896 0.0015193569 0.0047893617 0.002944484 0.0031679873 0.011302893 0.020262504 0.0015466133 0.0013262249 0.0021867524 0.010122296 0.0040316302 0.0050564758 0.0027365554 0.006087551 0.0015232506 0.0017607717 0.002567565 0.004340018 0.0019624701 0.004262921 0.009971217 0.07855799 0.010644064 0.008067933 0.0110303275 0.047161583 0.033804327 0.023229571 0.014944365 0.055825267 0.005726986 0.0065945224 0.010090367 0.01805083 0.007469068 0.030750817 0.06867399 0.049800016 0.008547648 0.0075344834 0.010171358 0.024024684 0.025052644 0.014608721 0.012156412 0.040818598 0.0052862093 0.0055517657 0.0077712256 0.017238587 0.009487608 0.021659596 0.04172585 0.00029359176 5.9964364e-05 0.00010824736 6.541567e-05 0.00011369866 0.00012460127 5.4513057e-05 8.2548344e-05 0.00016899047 3.6601625e-05 4.2052932e-05 3.6601625e-05 0.00010591109 7.553952e-05 9.189344e-05 0.00013472512 4307.0 17.989552 77481.0 0.005601373 0.00011615751 0.0003742853 6.453195e-05 0.0031233465 0.00050334923 6.453195e-05 0.00014197029 0.0002581278 0.00036137892 0.0007485706 0.0005549748 0.00030975335 0.015758703 0.0010841368 0.00041300448 0.03546676 0.01904983 0.035118286 0.014455156 0.031233463 0.016236238 0.031878784 0.013267769 0.03536351 0.01573289 0.0008001962 0.00029684696 0.0008905409 0.00056788116 7.743834e-05 9.034473e-05 0.0013164518 0.0080794 0.00668551 0.013448458 0.0056529986 0.016533086 0.003871917 0.0022844311 0.004233296 0.01819801 0.0022844311 0.0037557594 0.0068661994 0.005717531 0.004104232 0.008040681 0.012764419 0.002219899 0.0057046246 0.019759683 0.01086718 0.0060660033 0.0060014715 0.0031620655 0.002916844 0.0045817685 0.0013164518 0.0021295543 0.001058324 0.002155367 0.002116648 0.023154063 0.00021940863 0.030239671 0.012686981 0.027774552 0.026058001 0.04940566 0.011318904 0.0107768355 0.015810328 0.03385346 0.0076793022 0.008363341 0.019643525 0.012312696 0.034550406 0.030200953 0.016145894 0.004401079 0.03532479 0.02841987 0.03653799 0.0114737805 0.011241466 0.007240485 0.012506292 0.006349944 0.0008131026 0.0002710342 0.0004904428 0.0002710342 0.0002581278 0.00030975335 5.7370424 0.0 1.0 14.0 4.0 643941.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 2.0 -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 -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 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5690603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1541769 0.015463705 0.00740231 0.00540752 0.01543438 0.006796738 0.003554524 0.0024467774 0.009471777 0.0036098508 0.002909951 0.0015101511 0.0064079384 0.0017492962 0.0013614035 0.01921263 0.007821041 0.0027034576 0.0011957253 0.00105635 0.0036860385 0.0043133786 0.0021347702 0.0010212794 0.0035790128 0.0014016137 0.00113284 0.0012017719 0.0026907597 0.0007095745 0.0012108419 0.00065213133 0.010440753 0.00046589447 0.0008803924 0.000653643 0.012045232 0.0011981439 0.00045531284 0.0006173631 0.0047499468 0.0027503192 0.00061524677 0.0012607267 0.001987232 0.00087918306 0.00207642 0.0017879948 0.0046940153 0.0024380097 0.0027424586 0.0053715426 0.0033788686 0.0022620521 0.0020340935 0.0018771829 0.0032948202 0.002557431 0.002354566 0.0041023507 0.003021814 0.0024884993 0.0020752107 0.0027711801 0.008962346 0.0058915545 0.0034916387 0.0032494704 0.007659293 0.007985207 0.0057881568 0.0031385142 0.002655387 0.0026496425 0.001177283 0.00095385924 0.004192143 0.0055475 0.0022040044 0.0018865551 0.007711294 0.0021299329 0.00210363 0.0033930782 0.0035294304 0.0053476584 0.005283564 0.004369008 0.0025030111 0.002811088 0.0011013976 0.0020915365 0.0023361237 0.0055605005 0.0045186626 0.009524987 0.0017130163 0.0074370787 0.0019412773 0.0037706916 0.005494894 0.013357354 0.004006511 0.0032543077 0.005888229 0.008260935 0.0054552886 0.0017550405 0.009911369 0.0036984342 0.008048395 0.00932182 0.0054864287 0.00055689656 0.008202887 0.0056681307 0.017274678 0.009118048 0.002467336 0.0017260165 0.0026514565 0.001931905 0.00054117525 0.0005692922 0.0019385563 0.0015222444 0.001285518 0.0012552848 0.00854029 0.002476406 0.001462685 0.012536824 0.0046758754 0.008091629 0.0020074882 0.001008279 0.0022817038 0.009310936 0.0015603383 0.03444475 0.0011933066 0.007479405 0.0008277865 0.000528175 0.0016038743 0.00040542797 0.00039545097 0.0006052698 0.0011467474 0.00052968663 0.0003231935 0.0003213795 0.0008486475 0.00065727095 0.00046559214 0.00038396235 0.0010551406 0.00035342676 0.00041540494 0.0004114746 0.0013586825 0.0013351006 0.00048403442 0.0014167303 0.0009260446 0.0002506337 0.0002757273 0.0002497267 0.0011561197 0.00028661126 0.00030323956 0.00029386726 0.00096171984 0.000260913 0.0002775413 0.000525454 0.0019560917 0.00033589147 0.00031714686 0.0008952067 0.00095385924 0.00042598657 0.0009593012 0.000763692 0.0020467914 0.001028233 0.0009741155 0.00036158974 0.0010079767 0.00038698566 0.0006185724 0.00056717586 0.011128559 0.0038840664 0.0030033716 0.0055608028 0.0061325138 0.0009961858 0.0032116787 0.006186631 0.0030360236 0.002200074 0.00096927816 0.0010802342 0.033598218 0.0005399659 0.0018112743 0.0014025207 0.0024963599 0.0008628571 0.0011660967 0.0007401101 0.0009792552 0.00031533284 0.0019198117 0.000772762 0.0015137792 0.000905486 0.0005874322 0.0016437821 0.0012595174 0.00033861247 0.00034979876 0.00033468215 0.001921021 0.00042507958 0.00037549704 0.0003564501 0.0032869596 0.0037117368 0.00045894083 0.0002926579 0.00842752 0.001921928 0.00036249674 0.0026121533 0.0056137107 0.0004114746 0.00039817198 0.00037640403 0.003279099 0.0010639082 0.0010614896 0.007765714 0.001808251 0.0004226609 0.0018161116 0.0009233236 0.0047021783 0.0014131024 0.0012380518 0.00094751024 0.00349829 0.0011394914 0.0022520751 0.031468585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2097398e-06 1.8146097e-06 4.385307e-06 4.8389593e-06 6.3511343e-06 4.385307e-06 5.595047e-06 4.385307e-06 5.443829e-06 5.292612e-06 4.2340894e-06 5.595047e-06 0.00024966005 1.5121748e-06 1.5121748e-06 3.478002e-06 0.0018031172 5.957969e-05 3.296541e-05 1.6785141e-05 8.332083e-05 0.00012127642 0.00028383522 9.617432e-05 6.7140565e-05 3.5838544e-05 3.3872715e-05 2.6160624e-05 0.00025661607 1.4970531e-05 1.2853486e-05 0.00015242722 0.018878747 0.00051323214 0.0007240293 0.00022153361 0.000840618 0.0009523677 0.003985488 0.0015431744 0.0006130357 0.000422048 0.00022607013 0.00022168482 0.00046907662 0.00025616243 0.00022138239 0.0018097708 0.022018777 0.0007967649 0.001555423 0.00075638987 0.004112662 0.0029262095 0.017906418 0.008604123 0.0014659023 0.00030833244 0.000116739895 0.00014910044 0.0007641019 0.00018372924 0.00017858784 0.0010244985 0.03253399 0.0016196904 0.002687286 0.00095176284 0.0066254428 0.0031265726 0.016441574 0.0085515 0.004842891 0.00052109547 0.00022017266 9.844258e-05 0.0029243948 0.0003001667 0.00013110555 0.0011120534 0.026618058 0.0014209907 0.0064473087 0.0025599608 0.008725248 0.004368673 0.019319545 0.010838513 0.0042841425 0.00049584213 0.0005093005 0.00024179675 0.0029741453 0.0003815217 0.00023726023 0.00069847354 0.014360217 0.0023487099 0.005286563 0.0258036 0.0055023506 0.0037303842 0.008820667 0.0052839923 0.0033490136 0.0019290814 0.0018545312 0.0018867406 0.003887499 0.0018691993 0.0021980973 0.0026295208 0.020645723 0.0035694886 0.0049454165 0.0017492839 0.003745657 0.0062602526 0.004723883 0.0027530654 0.0092375735 0.00083003275 0.00076863845 0.0009992451 0.017730854 0.0010527761 0.0060863523 0.005332231 0.09106272 0.018684734 0.014598687 0.010390304 0.027995044 0.031092886 0.014042962 0.016828388 0.05489966 0.0033952862 0.004059887 0.0064911614 0.04157876 0.007707404 0.015536992 0.038662076 0.027893122 0.006847128 0.005972788 0.004459706 0.0092915585 0.011115997 0.007043559 0.007088017 0.018879049 0.0014724046 0.0019798905 0.0028897661 0.013346304 0.003786788 0.005681543 0.01254349 0.0010483908 0.0006444889 0.0006054748 0.00054196344 0.0005094517 0.00062679645 0.0007526094 0.000612582 0.0008032673 0.00050189084 0.0005759874 0.00058702624 0.0005803727 0.0006260404 0.0006668691 0.00084636424 28056.0 17.786142 499008.0 0.050646484 0.00049899 0.001240461 0.00086772157 0.0050840867 0.0023666956 0.00063526037 0.001324628 0.0060239513 0.005060039 0.0015210178 0.0011783378 0.0041221785 0.0019799282 0.007945765 0.0064347666 0.010063967 0.007552985 0.008220309 0.006991872 0.00765118 0.005304524 0.0052724606 0.004583093 0.006092087 0.0062383767 0.0060119275 0.007645168 0.0058636335 0.006615124 0.0046953154 0.007420723 0.013602989 0.009025907 0.0039398167 0.008402671 0.0071121105 0.0058896854 0.005464842 0.004575077 0.003651244 0.0061161346 0.00056912913 0.0010220277 0.007823522 0.0037053514 0.004655236 0.006078059 0.010476786 0.0012985764 0.007899673 0.007402687 0.007655188 0.0040620593 0.008021915 0.0034348147 0.0033626715 0.0020500673 0.0008096063 0.0009899641 0.0015410575 0.00078555854 0.00080159033 0.01922815 0.0021983616 0.04418366 0.010210257 0.020869404 0.023672966 0.083173014 0.013382551 0.01922414 0.012721239 0.0404743 0.0016132006 0.0031201905 0.035923272 0.018350407 0.03818977 0.04059855 0.016687106 0.0014368508 0.0480353 0.031422343 0.061415847 0.019592872 0.010849525 0.0057654385 0.009346544 0.0083285235 0.0012805406 0.00043686674 0.0014488746 0.00046692637 0.000500994 0.00047293832 5.669687 1.0 34.0 0.0 3.0 3307616.0 3424256.0 1.0 108.0 898.0 1.0 1.0 1.0 0.0 0.0 1542075000.0 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 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 2043392.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 981504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2043392.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6635003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.60457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1991987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.587151 0.0 6.727852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 981178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -170338.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2043215.0 0.0 61264.0 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 -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 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 -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 -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 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 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 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 1.0 -2.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -2.0 -2.0 -2.0 0.0 1.0 0.0 -1.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 -2.0 -1.0 -2.0 0.0 2.0 -2.0 0.0 3.0 -1.0 -2.0 2.0 -2.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 2.0 0.0 -1.0 -2.0 1.0 3.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 3.0 -1.0 0.0 0.0 1.0 0.0 0.0 3.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 -1.0 0.0 1.0 2.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 3.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 1.0 2.0 -2.0 1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 -1.0 -1.0 2.0 1.0 1.0 0.0 -1.0 1.0 1.0 -2.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 1.0 -1.0 -2.0 1.0 1.0 0.0 1.0 0.0 1.0 -3.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 1.0 -3.0 0.0 0.0 0.0 1.0 1.0 -2.0 -3.0 1.0 2.0 -2.0 -2.0 0.0 1.0 0.0 0.0 3.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 2.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 2.0 -3.0 4.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 1.0 2.0 1.0 -1.0 3.0 0.0 0.0 -2.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -2.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 3.0 0.0 -1.0 -1.0 -4.0 3.0 0.0 -1.0 2.0 2.0 -2.0 1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 2.0 -1.0 1.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 -2.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 3.0 -1.0 1.0 1.0 -4.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 -2.0 0.0 -1.0 0.0 0.0 4.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 3.0 -1.0 0.0 1.0 2.0 2.0 1.0 -2.0 0.0 1.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 -2.0 1.0 2.0 0.0 0.0 -2.0 0.0 1.0 0.0 -3.0 -1.0 2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 2.0 -2.0 -1.0 -2.0 0.0 -2.0 -1.0 2.0 -3.0 3.0 1.0 0.0 0.0 2.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 -2.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 2.0 -3.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 2.0 -1.0 2.0 -1.0 0.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 3.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 -2.0 -1.0 1.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 2.0 2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -2.0 -1.0 -3.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 4.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 -2.0 -1.0 1.0 -1.0 1.0 1.0 2.0 0.0 1.0 0.0 2.0 1.0 1.0 -2.0 -2.0 2.0 0.0 -1.0 -1.0 -1.0 -2.0 -1.0 -2.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 2.0 1.0 -2.0 -1.0 0.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 -2.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -2.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 3.0 -1.0 -1.0 4.0 0.0 -2.0 1.0 2.0 0.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 3.0 0.0 2.0 -1.0 -1.0 1.0 -2.0 2.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -3.0 1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 3.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 3.0 -1.0 2.0 -1.0 0.0 -1.0 -1.0 -3.0 -3.0 3.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 2.0 3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 2.0 1.0 -1.0 0.0 0.0 2.0 0.0 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 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 3.0 1.0 1.0 0.0 -1.0 3925.0 2998496.0 540.0 3002424.0 61264.0 3203072.0 0.0 0.0 7264.0 3300352.0 159280.0 3264512.0 56.0 2076400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2891032.0 0.0 0.0 6180.0 2048000.0 0.0 0.0 0.0 0.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.001953125 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.00027901787 0.001953125 0.001953125 0.0008370536 0.0013950893 0.003627232 0.0011160715 0.002232143 0.002232143 0.0016741072 0.002232143 0.0030691964 0.0016741072 0.0 0.0016741072 0.0013950893 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00027901787 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.0047433036 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024658203 0.036132812 0.033447266 0.03466797 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.026819924 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0038314175 0.007662835 0.011494253 0.011494253 0.011494253 0.011494253 0.011494253 0.022988506 0.022988506 0.022988506 0.0 0.01532567 0.011494253 0.0 0.011494253 0.01532567 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.0038314175 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.0651341 0.03065134 0.053639848 0.019157087 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.2733827 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 -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 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -512.0 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 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1460993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 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 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 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 36.0 8192.0 0.0 0.0 0.0 0.0