Kana mafekitori esimbi achigadzira huwandu hwakawanda hwemapaipi esimbi, vanoabatanidza kuita magadzirirwo ane madenderedzwa matanhatu kuti zvive nyore kutakurwa uye kuverengwa. Boka rega rega rine mapombi matanhatu padivi. Mapombi mangani ari muboka rega rega?
Mhinduro: 3n(n-1)+1, apo n iri nhamba yemapombi ari kurutivi rumwe rwehexagon rekunze. 1) * 6 = mapaipi matanhatu, pamwe nepaipi imwe iri pakati.
Kubva kwefomura:
Rutivi rumwe nerumwe runobata mapaipi e-n. Rutivi rwekunze rune mapaipi e-n-1 * 6, ruti rwechipiri (n-2) * 6, ..., rutivi rwe (n-1)th (n-(n-1)) * 6 = mapaipi e-6, uye pakupedzisira pombi imwe iri pakati. Huwandu hwese i[(n-1) + (n-2) + ... + 1]*6 + 1. Kutaura kuri mukati memabhuraketi kunomiririra huwandu hwesequence yemasvomhu (huwandu hwemashoko ekutanga neekupedzisira akakamurwa ne2, wobva wawedzerwa ne-n-1 kuti pave ne-n*(n-1)/2).
Izvi zvinoguma zvaita kuti 3n*(n-1)+1 ikwane.
Fomura: 3n(n-1)+1 Kuisa n=8 mufomura: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 sticks
Nguva yekutumira: Gumiguru-20-2025
