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It is given that $f(x)$ is a function defined on $R$, satisfying $f(1)=1$, and for any $x\in R$,

$f(x+5)\geq f(x)+5$

$f(x+1)\leq f(x)+1$

If $g(x)=f(x)+1-x$, what is the value of $g(2014)$?

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