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Question Number 207663 by efronzo1 last updated on 22/May/24

$$\mathrm{Given}$$$${\mathrm{x}}_1+{\mathrm{x}}_3+...+{\mathrm{x}}_{2923}=25-({\mathrm{x}}_2+{\mathrm{x}}_4+...+{\mathrm{x}}_{2022})$$$${\mathrm{x}}_1^2+{\mathrm{x}}_3^2+...+{\mathrm{x}}_{2023}^2=125-({\mathrm{x}}_2^2+{\mathrm{x}}_4^2+...+{\mathrm{x}}_{2022}^2)$$$$-2⩽{\mathrm{x}}_{\mathrm{i}}⩽1,\mathrm{i}=1,2,3,...,2023$$$${\mathrm{x}}_{\mathrm{i}}\mathrm{integer}\mathrm{number}$$$$\mathrm{Find}\mathrm{minimum}\mathrm{value}\mathrm{of}$$$${\mathrm{x}}_1^3+{\mathrm{x}}_3^3+...+{\mathrm{x}}_{2023}^3$$

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