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Generate.py
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import base64
exec(base64.b64decode("""
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PS8gOi8gIDspIDspICA9KSA9KSAgOi8gPSkgIDp7 IDpTICA7 KSA7 KSAgPSkgOiggIDpEIDopICA6
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Oi8gIDpEIDopIDpTICA6LyA7 KSAgOkQgOikgPSkgID0pID0vICA6UyA6UCAgOkQgXAo6KSA6UyAg
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IDspICA6XAovIDpTICA9LyA6eyAgOiggOnsgIDpEIDpEIDpQICA6LyA6UyAgPS8gOi8gID0vID0p
ICA9KSA6KCAgOnsgOlAgID0vIDovXAogID0vID0pICA9KSA6KCAgOi8gPSkgIDp7 IDpTICA9LyA9
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ICA6LyA6UyAgPS8gOnsgIDooIDp7 ICA6RCA6RCA6UCAgOkQgOikgIDovIDpTICA9LyA6eyAgOkQg
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IDovICA9LyA9KSAgXAo9KSA6KCAgOnsgOnsgID0vID0pICA6RCA6RCA6UCAgPS8gOykgIDovIDpT
ICA9LyA6eyAgOkQgOkQgOlAgIDp7 IDpEICA6XAovIDpTICA9LyA6eyAgOkQgOkQgOkQgIDpEIDpE
IDpQICA6LyA6UyAgPS8gOi8gID0vID0pICA9KSA6KCAgOnsgOlAgID0vXAogOi8gID0vID0pICA9
KSA6KCAgOi8gPSkgIDp7 IDpTICA9LyA9KSAgPSkgOiggIDp7 IDpQICA9LyA6LyAgPS8gPSkgIDpE
XAogOikgOlMgIDovIDspICA6RCA6UCA6RCAgOkQgOikgOi8gIDpEIDopIDpTICA6LyA7 KSAgOkQg
OlAgOkQgIDpEIDopIDovXAogIDpEIDopIDpTICA6RCA6KSAgOi8gOlMgID0vIDp7 ICA6RCA6RCA6
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OkQgXAo6KSA6UyAgOi8gOykgIDpEIDopID0pICA9KSA9LyAgOlMgOlAgIDpEIDopIDpTICA6LyA6
UyAgPS8gOnsgIDpEIDpEIDpQXAogID0vIDspICA6LyA6UyAgPS8gOnsgIDpEIDpEIDpQICA9LyA7
KSAgOi8gOlMgID0vIDp7 ICA6KCA6eyAgOkQgOkQgOlAgXAogOi8gOlMgID0vIDovICA9LyA9KSAg
PSkgOiggIDp7 IDpQICA9LyA6LyAgPS8gPSkgID0pIDooICA6LyA9KSAgOnsgOlMgXAogPS8gPSkg
ID0pIDooICA6eyA6UCAgPS8gOi8gID0vID0pICA6RCA6KSA6UyAgOnsgOikgIDp7 IDpTICA6RCA6
KSA6LyAgXAo6RCA6KSA6UyAgOnsgOnsgID0vID0pICA6RCA6RCA6RCAgPSkgOiggIDovID0pICA9
LyA6LyAgPS8gPSkgIDpEIDopIDpTXAogIDp7 IDopICA6eyA6UyAgOkQgOikgOi8gIDpEIDopIDpT
ICA6LyA7 KSAgOkQgOikgOnsgID0vID0pICA6RCA6KSA6UyAgXAo6RCA6KSAgOi8gOlMgID0vIDp7
ICA6RCA6RCA6RCAgOkQgOkQgOkQgIDovIDpTICA9LyA6eyAgOiggOnsgIDpEIDpEIDp7 XAogIDov
IDpTICA9LyA6LyAgPS8gPSkgID0pID0pICA6LyA9KSAgOnsgOlMgID0vID0pICA9KSA6KCAgOkQg
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