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Special String We call a binary string \$S\$ of length \$N\$ special if : substring \$S[0:i+1]\$ is lexicographically strictly smaller than substring \$S[i+1:N]\$ for \$ 0\leq i\leq N-2\$, \$Note : S[a:b] \$ is substring \$S[a]S[a+1]...S[b-1]\$ Given a binary string \$T\$ of length \$N\$ we a...