$2 \mathrm{MnO}_4^{-}+\mathrm{bC}_2 \mathrm{O}_4^{2-}+\mathrm{cH}^{+} \rightarrow \mathrm{xMn}^{2+}+\mathrm{yCO}_2+\mathrm{z} \mathrm{H}_2 \mathrm{O}$
If the above equation is balanced with integer coefficients, the value of c is _______.
(Round off to the Nearest Integer).