<prompt> Tuseme r ni nambari halisi ambayo kwayokushotosakafu r frac19100 kuliasakafu kushotofloor r frac100 kuliasakafu kushotosakafu r frac21 100 kuliasakafu cdots kushotofloor r frac91100 rightfloor 546.Tafuta floor 100r floor.  <response>: Kwa kuwa nambari r tfrac19100, rtfrac20100, rtfrac21100, ldets, rtfrac 91100 ni zote kabisa ndani ya 1 kutoka kwa kila nyingine, masharti machache ya kwanza kwenye upande wa kushoto lazima yalingane na jumla ya n, na masharti mengine yote ikiwa yapo lazima yalingane na n. 1.Kuna 91 - 19 1 73 masharti kwenye upande wa kushoto. Tuna 546 7 cdot 73 35, ambayo inaonyesha kuwa n7, na kwamba 35 ya masharti ni 8, wakati 73 - 35 ya kwanza 38 masharti ni 7. Hivyo, leftfloor r frac19100 kuliafloor leftfloor r frac20100 rightfloor dots leftfloor r frac 56100 kuliasakafu 7na leftfloor r frac57100 rightfloor leftfloor r frac58100 rightfloor dots leftfloor r frac91100 rightfloor 8.Hasa, r tfrac56100 8 le r tfrac57100, so 7.43 le r 7.44. Kwa hivyo, 743 le 100r 744, kwa hivyo jibu ni floor 100r floor 743. 