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Given infinite different integers, order them into a sequence \$a_1, a_2, a_3, ...\$ such that \$a_i>a_{i+1}\$ iff \$i\$ is even(or odd, as long as it's constant for all possible inputs and all \$i\$). In other word, make the sequence go alternately up and down (or down first, as long as it's con...