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Analyze the structural implications and design considerations for the use of ultra$-$high$-$performance concrete $($UHPC$)$ in bridge construction. Discuss the material properties that distinguish UHPC from conventional concrete, and evaluate how its application influences factors such as load$-$bearing capacity, durability, and maintenance requirements. Consider the challenges associated with its use, including cost, workability, and long$-$term performance, and propose solutions to mitigate these issues.