Dynamo is an incredible magician. He will be performing this new magic trick in the Blackpool Magician Convention. His magic trick consists of N acts labelled from 1 to N. Every act except act 1 is...

Extracted text: Dynamo is an incredible magician. He will be performing this new magic trick in the Blackpool Magician Convention. His magic trick consists of N acts labelled from 1 to N. Every act except act 1 is directly dependent upon the successful execution of exactly one of the previous acts. The act i is said to be dependent upon act j if and only if: Act i is directly dependent upon the act j (j < i)="" or="" act="" i="" is="" dependent="" upon="" some="" act="" x="" which="" is="" dependent="" upon="" the="" act="" j.="" (j="">< x="">< i)="" an="" act="" can="" never="" happen="" if="" one="" or="" more="" of="" its="" dependencies="" failed.="" also,="" every="" act="" has="" an="" associated="" value="" ai="" which="" gets="" added="" to="" the="" audience's="" anger="" if="" that="" act="" fails.="" if="" the="" anger="" becomes="" very="" large,="" people="" will="" start="" throwing="" sharp="" objects="" at="" dynamo.="" since="" he="" is="" going="" to="" perform="" in="" the="" blackpool="" magician="" convention,="" he="" is="" interested="" in="" knowing="" the="" minimum="" possible="" anger="" value="" of="" audience="" in="" the="" hypothetical="" situation="" where="" he="" was="" able="" to="" successfully="" execute="" exactly="" k="" acts="" during="" his="" performance.="" develop="" a="" c++="" code="" that="" prints="" a="" line="" containing="" the="" minimum="" anger="" value="" of="" audience="" if="" dynamo="" could="" perform="" exactly="" k="" of="" the="" acts="" successfully.="" test="" case="" 1="" output="" 1="" 4="" 53="" 15="" 24="" 26="">