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.., u_ k_ N $ be the output of your provided sequence of choice regulations $cal S$. When you'll find only $N$ achievable alternatives as earlier mentioned, the matching rule for $u_ one $,…, $u_ k_ 1 $ is just given with $k_ i $ since the $i$th largest value and $k_ k_ one = k_ one – a_ i, one $ as being the $i$th smallest price. We'll leave i
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