Question Number 23411 by ajfour last updated on 29/Oct/17
Commented by ajfour last updated on 29/Oct/17
$${Place}\:\mathrm{8}\:{queens}\:{on}\:{the}\:{chessboard} \\ $$$${so}\:{that}\:{there}\:{be}\:{no}\:{threat}\:\left({none}\right. \\ $$$$\left.{come}\:{in}\:{each}\:{other}'{s}\:{way}\right). \\ $$$$ \\ $$
Answered by $@ty@m last updated on 30/Oct/17
$${D}\mathrm{1}\:\:\:\:{F}\mathrm{2}\:\:\:\:{H}\mathrm{3}\:\:\:\:{G}\mathrm{5} \\ $$$${E}\mathrm{4}\:\:\:\:{C}\mathrm{5}\:\:\:\:{A}\mathrm{6}\:\:\:\:\:{B}\mathrm{8}\:\:\:\: \\ $$
Commented by ajfour last updated on 30/Oct/17
$${wrong}.\:\:{G}\mathrm{5},\:{C}\mathrm{5},{F}\mathrm{2}\:\:? \\ $$
Answered by Physics lover last updated on 30/Oct/17
$${A}\mathrm{3}\:,\:{B}\mathrm{6}\:,\:{C}\mathrm{4}\:,\:{D}\mathrm{1}\:,\:{E}\mathrm{8}\:,\:{F}\mathrm{5}\:,\:{G}\mathrm{7}\:,\:{H}\mathrm{2} \\ $$
Commented by Physics lover last updated on 30/Oct/17
$${I}\:{thought}\:{it}\:{this}\:{way} \\ $$$${Consider}\:{placing}\:{one}\:{queen}\:{in}\:{each} \\ $$$${file}. \\ $$$${The}\:{queens}\:{which}\:{would}\:{create}\: \\ $$$${the}\:{most}\:{problem}\:{would}\:{be}\:{those} \\ $$$${in}\:{the}\:{middle}\:\Rightarrow\:{i}\:{need}\:{to}\:{place} \\ $$$${them}\:{in}\:{such}\:{a}\:{way}\:{that}\:{their}\:{effect} \\ $$$${is}\:{minimized}\:\Rightarrow\:{placing}\:{them}\:{at}\: \\ $$$${the}\:{edeges}\:{and}\:{then}\:{used}\:{hit}\:{and} \\ $$$${trial}\:{method}. \\ $$
Commented by ajfour last updated on 30/Oct/17
$${Correct},{I}\:{believe}\:\&{Very}\:{Nice}. \\ $$
Commented by Physics lover last updated on 30/Oct/17
$${thanks}\:{you}\:{sir}.{And}\:{You}\:{post}\:{very}\:{good} \\ $$$${questions}.\:{I}\:{really}\:{enjoy}\:{solving} \\ $$$${them}. \\ $$
Commented by Physics lover last updated on 30/Oct/17
$${One}\:{more}\:: \\ $$$${A}\mathrm{3}\:,\:{B}\mathrm{6}\:,\:{C}\mathrm{2}\:,\:{D}\mathrm{8}\:,\:{E}\mathrm{1}\:,\:{F}\mathrm{7}\:,\:{G}\mathrm{4}\:,\:{H}\mathrm{6} \\ $$$${and}\:{this}\:{one}\:{looks}\:{more} \\ $$$${symmetrical}. \\ $$
Commented by Physics lover last updated on 30/Oct/17
$${And}\:{you}\:{know}\:{chess}\:{is}\:{my}\:{favourite} \\ $$$${sport}. \\ $$
Commented by ajfour last updated on 31/Oct/17
$${must}\:{be}\:{B}\mathrm{5} \\ $$