（2010•海淀区二模）给定集合An={1，2，3，…，n}，n∈N*．若f是An→An的映射，且满足：
\u7ed9\u5b9a\u96c6\u5408An={1\uff0c2\uff0c3\uff0c\u2026\uff0cn}\uff0cn\u2208N * \uff0e\u82e5f\u662fAn\u2192An\u7684\u6620\u5c04\uff0c\u4e14\u6ee1\u8db3\uff1a\uff081\uff09\u4efb\u53d6i\uff0cj\u2208An\uff0c\u82e5i\u2260j\uff0c\u5219f\uff08i\uff081\uff09\uff082\uff09\u6839\u636e\u4f18\u5f71\u5c04\u7684\u5b9a\u4e49\uff0cf\uff1aA 2010 \u2192A 2010 \u662f\u201c\u4f18\u6620\u5c04\u201d\uff0c\u4e14f\uff081004\uff09=1\uff0c\u5219 \u5bf9f\uff081000\uff09+f\uff081007\uff09\uff0c\u53ea\u6709\u5f53f\uff081000\uff09=1004\uff0cf\uff081007\uff09=1007\u65f6\uff0cf\uff081000\uff09+f\uff081007\uff09\u53d6\u5f97\u6700\u5927\u503c\u4e3a 1004+1007=2011\uff0c\u6545\u7b54\u6848\u4e3a\uff1a2011\uff0e
\u6839\u636e\u4f18\u5f71\u5c04\u7684\u5b9a\u4e49\uff0cf\uff1aA2010\u2192A2010\u662f\u201c\u4f18\u6620\u5c04\u201d\uff0c\u4e14f\uff081005\uff09=1\uff0c\u5219 \u5bf9f\uff081001\uff09+f\uff081009\uff09\uff0c\u53ea\u6709\u5f53f\uff081001\uff09=1006\uff0cf\uff081009\uff09=1008\u65f6\uff0cf\uff081001\uff09+f\uff081009\uff09\u53d6\u5f97\u6700\u5927\u503c\u4e3a 1006+1008=2014\uff0c\u6545\u7b54\u6848\u4e3a\uff1a2014\uff0e
优映射是题目所定义的，只要满足条件即可。另外，F(1)=1是可以的。
比如1 2 3通过 F 映射到 1 2 3，满足条件。
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