Plava kineska perika | Blonde chinese wig #5
U pravljenju perike sudjelovalo je mnogo osoba:
Najprije je Ivan brojio vlasi u snopovima od 200800000111 pri čemu mu je ostalo 37 vlasi.
Zatim je Petar brojio vlasi u snopovima od 201000000023 pri čemu mu je ostalo 23 vlasi.
Zatim je Gabriela brojila vlasi u snopovima od 201200000003 pri čemu joj je ostalo 3 vlas.
Zatim je Vlatka brojila vlasi u snopovima od 201600000053 pri čemu joj je ostalo 53 vlasi.
Zatim je Lucija brojila vlasi u snopovima od 201800000047 pri čemu joj je ostalo 47 vlasi.
Konačno, Mislav je vlasi brojio u snopovima od 202200000017 pri čemu mu je ostalo 17 vlasi.
Ako Matej prebroji vlasi u snopovima veličine 202400000009, koliko će vlasi ostati?
Napomena: svi brojevi u zadatku su prosti.
Many people participated in making the wig:
First, Ivan counted hairs in bundles of 200800000111, leaving him with 37 hairs.
Then Petar counted the hairs in bundles of 201000000023 and he had 23 hairs left.
Then Gabriela counted hairs in bundles of 201200000003 and she had 3 hairs left.
Then Vlatka counted the hairs in bundles of 201600000053 and she had 53 hairs left.
Then Lucija counted the hairs in bundles of 201800000047 and she had 47 hairs left.
Finally, Mislav counted the hairs in bundles of 202200000017 and he had 17 hairs left.
If Matej counts hairs in bundles of size 202400000009, how many hairs will remain?
Note: all numbers in the task are prime.