Cebbs ol vaqhpgvba. Fhccbfr fbzr cebprqher pna trg O gb 100-K, naq N gb K. Gura gurer vf n cebprqher gung jvyy trg N gb K-(K/20)^2. Ercrng rabhtu gvzrf gb trg O neovgenevyl pybfr gb 100.
Gur cebprqher: gnxr unys bs O naq unys bs N naq qb gur bevtvany cebprqher. Gura gnxr guvf unys bs N naq pbzovar jvgu gur bgure unys bs O, gura gnxr gur bgure unys bs N (ng 100) naq pbzovar jvgu gur 2aq unys bs O ol hfvat gur bevtvany cebprqher, gura zvk gur Nf naq Of gbtrgure frcnengryl.
Lbh pna trg O neovgenevyl pybfr gb 100.
Cebbs ol vaqhpgvba. Fhccbfr fbzr cebprqher pna trg O gb 100-K, naq N gb K. Gura gurer vf n cebprqher gung jvyy trg N gb K-(K/20)^2. Ercrng rabhtu gvzrf gb trg O neovgenevyl pybfr gb 100.
Gur cebprqher: gnxr unys bs O naq unys bs N naq qb gur bevtvany cebprqher. Gura gnxr guvf unys bs N naq pbzovar jvgu gur bgure unys bs O, gura gnxr gur bgure unys bs N (ng 100) naq pbzovar jvgu gur 2aq unys bs O ol hfvat gur bevtvany cebprqher, gura zvk gur Nf naq Of gbtrgure frcnengryl.
Erfhygf ng rnpu fgrc:
Unys bs O: 100-K. Unys bs N: K
2aq unys bs O: K/2. 1fg unys bs N: K/2
2aq unys bs O: K/2 + (100-K)*(100-K/2)/100 2aq unys bs N: K/2 + K(100-K/2)/100
Nirentr bs Nf: K/2 + K(100-K/2)/200 K-(K/20)^2
Jr pna gura cyht va K=50 naq frr jurer jr trg: K=43.75 K=38.96 K=35.17 K=32.08
Guvf shapgvba znl gnxr n ybat gvzr gb trg gb mreb ohg vs lbh vgrengr ybat rabhtu vg unf gb trg gurer, gurer’f ab bgure cbvagf nybat gur jnl vg pbhyq fgbc ng.
Haven’t fully verified this.