\u3053\u3093\u3070\u3093\u306f\u3002Wam\u516d\u5341\u8c37\u6821\u306e\u5ddd\u53e3\u3067\u3059\u3002
\n\u7d50\u57ce\u6d69\u3055\u3093\u306e\u65b0\u4f5c\u304c\u51fa\u3066\u3044\u305f\u306e\u3067\u8aad\u3093\u3067\u3044\u307e\u3057\u305f\u3002
\n\u30c6\u30fc\u30de\u306f\u30d3\u30c3\u30c8\u3068\u30d0\u30a4\u30ca\u30ea\u30fc\u3067\u3059\u304c\u3001\u5168\u4f53\u3092\u901a\u3057\u3066\u6570\u5b66\u7684\u306b\u5171\u901a\u3057\u305f\u3082\u306e\u3092\u63d0\u793a\u3059\u308b\u3053\u3068\u3067\u3001\u8aad\u8005\u306e\u6570\u5b66\u3078\u306e\u8208\u5473\u3092\u8a98\u3046\u5185\u5bb9\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u4f5c\u4e2d\u306b\u3082\u7df4\u7fd2\u554f\u984c\u304c\u3042\u3063\u305f\u308a\u3001\u7814\u7a76\u8ab2\u984c\u304c\u8f09\u305b\u3089\u308c\u3066\u3044\u305f\u308a\u3001\u590f\u4f11\u307f\u306e\u81ea\u7531\u8ab2\u984c\u3068\u3057\u3066\u3082\u697d\u3057\u3044\u3067\u3059\u3002\u307e\u305a\u306f2\u9032\u6570\u306e\u8aac\u660e\u304b\u3089\u5165\u308a\u3001\u30b9\u30ad\u30e3\u30ca\u3068\u30d7\u30ea\u30f3\u30bf\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f8b\u306b\u30d5\u30a3\u30eb\u30bf\u3092\u901a\u3059\u3053\u3068\u3067\u30011\u30de\u30b9\u53f3\u306b\u5bc4\u305b\u308b\u64cd\u4f5c\u3068div\u30672\u3067\u5272\u3063\u3066\u5c0f\u6570\u4ee5\u4e0b\u3092\u5207\u308a\u6368\u3066\u305f\u5b9f\u884c\u7d50\u679c\u304c\u540c\u3058\u306b\u306a\u308b\u3053\u3068\u3084\u3001\u30d3\u30c3\u30c8\u53cd\u8ee2\u304c\u30d3\u30c3\u30c8\u5358\u4f4d\u306e\u6392\u4ed6\u7684\u8ad6\u7406\u548c\u306b\u306a\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002SWAP\u3084REVERSE\u306a\u3069\u30d5\u30a3\u30eb\u30bf\u306e\u64cd\u4f5c\u304c\u3069\u306e\u547d\u4ee4\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u3066\u3044\u308b\u306e\u304b\u3092\u8ffd\u3063\u3066\u3044\u304d\u307e\u3059\u3002
\n\u305d\u308c\u3092\u5fdc\u7528\u3057\u305f\u30d5\u30ea\u30c3\u30d7\u30fb\u30c8\u30ea\u30c3\u30d7\u3068\u3044\u3046\u30b2\u30fc\u30e0\u304c\u3042\u308a\u3001\u767d\u3044\u30dc\u30bf\u30f3\u304c\u8907\u6570\u4e26\u3093\u3067\u3044\u3066\u3001\u53cd\u8ee2\u3055\u305b\u308b\u3068\u9ed2\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u5168\u3066\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u5c3d\u304f\u3059\u3053\u3068\u3067\u30af\u30ea\u30a2\u306b\u306a\u308a\u307e\u3059\u3002\u3088\u304f\u30b2\u30fc\u30e0\u306e\u4e2d\u306e\u30df\u30cb\u30b2\u30fc\u30e0\u3067\u898b\u305f\u3053\u3068\u304c\u3042\u308b\u306e\u3067\u3059\u304c\u591a\u304f\u306e\u4eba\u306f\u52d8\u3067\u30d1\u30bf\u30fc\u30f3\u3092\u898b\u3064\u3051\u3066\u3044\u304f\u3068\u601d\u3044\u307e\u3059\u3002\u30dc\u30bf\u30f3\uff14\u3064\u3067\u59cb\u3081\u3066\u3001\u30eb\u30fc\u30eb\u3092\u63a2\u3059\u305f\u3081\u306b\u4e3b\u4eba\u516c\u3082\u3084\u306f\u308a\u52d8\u3067\u57cb\u3081\u3066\u3044\u304f\u306e\u3067\u3059\u304c\u3001\u305d\u306e\u904e\u7a0b\u3067\u30cf\u30fc\u30d5\u30fb\u30c8\u30ea\u30c3\u30d7\uff083\u6841\u3067\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u5c3d\u304f\u3057\u305f\u72b6\u614b\uff09\u306b\u8fbf\u308a\u3064\u304f\u3068\u30014\u6841\u76ee\u3092\u9664\u3044\u305f\u6700\u4e0a\u4f4d\u30d3\u30c3\u30c8\u3092\u53cd\u8ee2\u3055\u305b\u308b\u3068\u30d5\u30eb\u30c8\u30ea\u30c3\u30d7\u304c\u3067\u304d\u308b\u3053\u3068\u306b\u6c17\u4ed8\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6570\u5217\u306fm=log2(n&-n)\u306b\u306a\u308b\u306e\u3067\u3059\u304c\u3001y=\u03c1(n)+1\u3068\u3057\u3066\u30b0\u30e9\u30d5\u3092\u66f8\u3044\u305f\u3068\u304d\u3001\u5b9a\u898f\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u304c\u30eb\u30fc\u30e9\u30fc\u95a2\u6570\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u521d\u3081\u3066\u77e5\u308a\u307e\u3057\u305f\u3002\u4e16\u306e\u4e2d\u306b\u306f\u591a\u304f\u306e\u4e0d\u601d\u8b70\u306a\u95a2\u6570\u304c\u3042\u308b\u306e\u3067\u81ea\u5206\u304c\u77e5\u3063\u3066\u3044\u308b\u3082\u306e\u306f\u6975\u50c5\u304b\u306a\u306e\u3060\u3068\u6539\u3081\u3066\u601d\u3044\u307e\u3059\u3002<\/p>\n
<\/p>\n
\u30d5\u30ea\u30c3\u30d7\u30fb\u30c8\u30ea\u30c3\u30d7\u3068\u30eb\u30fc\u30e9\u30fc\u95a2\u6570\u306e\u7e4b\u304c\u308a\u304c\u6c17\u306b\u306a\u308b\u3068\u3053\u308d\u3067\u3059\u3002\u7269\u7406\u5b66\u8005\u30d5\u30e9\u30f3\u30af\u30fb\u30b0\u30ec\u30a4\u306b\u7531\u6765\u3059\u308b\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u306f1\u30d3\u30c3\u30c8\u3092\u53cd\u8ee2\u3055\u305b\u308b\u3053\u3068\u3067\u6b21\u306e\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u304c\u5f97\u3089\u308c\u308b\u30d1\u30bf\u30fc\u30f3\u5217\u306a\u306e\u3067\u3059\u304c\u3001\u4f5c\u4e2d\u30d5\u30ea\u30c3\u30d7\u30fb\u30c8\u30ea\u30c3\u30d7\uff14\u306f\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u306e\u4e2d\u3067\u3082\u6a19\u6e96\u7684\u306a\u3082\u306e\u3067\u3001\u3053\u308c\u3092\u4e00\u822c\u5316\u3057\u3066\u6f38\u5316\u5f0f\u3067\u8868\u305d\u3046\u3068\u8a66\u307f\u307e\u3059\u3002\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u3067\u306e\u5b9a\u7fa9\u306a\u306e\u3067\u8868\u8a18\u3082\u72ec\u7279\u3067\u3059\u304c\u3001\u4efb\u610f\u306e\u6b63\u6574\u6570\u3067\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3082\u8a3c\u660e\u3057\u3066\u304f\u308c\u307e\u3059\u3002\u6f38\u5316\u5f0f\u3092\u898b\u308b\u3053\u3068\u3067\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u306e\u500b\u6570\u3068\u5207\u308a\u66ff\u308f\u308b\u30d3\u30c3\u30c8\u4f4d\u7f6e\u3067\u3001\u30eb\u30fc\u30e9\u95a2\u6570\u3068\u306e\u5171\u901a\u70b9\u306b\u6c17\u4ed8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6709\u540d\u306a\u30cf\u30ce\u30a4\u306e\u5854\u554f\u984c\u3082\u3053\u308c\u306b\u5fdc\u7528\u3067\u304d\u308b\u3053\u3068\u3082\u7d39\u4ecb\u3055\u308c\u308b\u306e\u3067\u3059\u304c\u3001\u3053\u306e\u3088\u3046\u306a\u4e2d\u5b66\u53d7\u9a13\u3067\u51fa\u308b\u3088\u3046\u306a\u3001\u30d1\u30bf\u30fc\u30f3\u3092\u624b\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\u8003\u3048\u308b\u554f\u984c\u304c\u3001\u7f8e\u3057\u3044\u6570\u5217\u306b\u3088\u3063\u3066\u8868\u73fe\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u306b\u611f\u52d5\u3057\u307e\u3057\u305f\u3002<\/p>\n
<\/p>\n
\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u306f\u8a08\u7b97\u6a5f\u79d1\u5b66\u306e\u69d8\u3005\u306a\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u30012\u9032\u6570\u3067\u3042\u308a\u3001\u6709\u9650\u5217\u3068\u3057\u3066\u65e5\u5e38\u7684\u306b\u3042\u307e\u308a\u4f7f\u308f\u306a\u3044\u306e\u3067\u3059\u304c\u3001\u7121\u9650\u5217\u3068\u3057\u3066\u8868\u73fe\u3057\u305f\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u5c55\u958b\u306f\u5bfe\u79f0\u7684\u306a\u7f8e\u3057\u3055\u3067\u3042\u308b\u30d5\u30e9\u30af\u30bf\u30eb\u69cb\u9020\u3092\u6301\u3061\u307e\u3059\u3002\u30b0\u30ec\u30a4\u30b3\u30fc\u30c9\u306e\u6700\u521d\u306e\u30d3\u30c3\u30c8\u3092\u53d6\u308a\u9664\u304f\u64cd\u4f5c\u306f\u30c6\u30f3\u30c8\u95a2\u6570\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u306b\u306a\u308a\u3001\u6771\u5927\u5165\u8a66\u3067\u3082\u4f55\u5ea6\u304b\u51fa\u984c\u3055\u308c\u3066\u3044\u308bf(x)=amin(x,1\u2212x) \u3067\u8868\u3055\u308c\u308b\u30c6\u30f3\u30c8\u5199\u50cf\u306b\u306a\u308b\u3088\u3046\u3067\u3059\u3002\u30b0\u30e9\u30d5\u304c\u4e8c\u7b49\u8fba\u4e09\u89d2\u5f62\u3092\u63cf\u304f\u306e\u3067\u30c6\u30f3\u30c8\u95a2\u6570\u3068\u547c\u3070\u308c\u308b\u3088\u3046\u3067\u3059\u304c\u3001 f(x) \u3092 n \u500b\u5408\u6210\u3057\u305f\u95a2\u6570 y=f\u306en\u4e57(x) \u306f\u521d\u671f\u5024\u92ed\u654f\u6027\u304c\u3042\u308a\u3001\u3053\u308c\u306f\u30ab\u30aa\u30b9\u529b\u5b66\u7cfb\u306e\u6027\u8cea\u306e\uff11\u3064\u3067\u3059\u3002
\n\u6b21\u306b\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u3092\uff11\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u500b\u6570\u306b\u5fdc\u3058\u3066\u884c\u306b\u5206\u3051\u3066\u8868\u3057\u307e\u3059\u3002
\n1111
\n1110 1101 1011 0111
\n1100 1010 1001 0110 0101 0011
\n1000 0100 0010 0001
\n0000
\n\u5404\u884c\u3054\u3068\u306e\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u306e\u500b\u6570\u306b\u6ce8\u76ee\u3059\u308b\u3068\u4e8c\u9805\u4fc2\u6570\u306b\u306a\u3063\u3066\u304a\u308a\u3001\u3053\u308c\u3092\u7e26\u306b\u307e\u3068\u3081\u308b\u3053\u3068\u3067\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u3092\u7e4b\u3050\u7dda\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3067\u9806\u5e8f\u95a2\u4fc2\u304c\u5165\u308a\u3001\u30cf\u30c3\u30bb\u56f3\u3068\u3044\u3046\u3082\u306e\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u30dd\u30ea\u30c8\u30fc\u30d7\uff08n\u6b21\u5143\u591a\u9762\u4f53\uff09\u3067\u3042\u308a\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u306f\u96e3\u3057\u304f\u4eba\u9593\u306e\u6280\u91cf\u3092\u5fc5\u8981\u3068\u3059\u308b\u3088\u3046\u3067\u3059\u3002\u4f5c\u4e2d\u3067\u306f\u30a8\u30d4\u30ed\u30fc\u30b0\u3067\u3044\u304f\u3064\u304b\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4eba\u306e\u601d\u8003\u306f\u9650\u3089\u308c\u305f\u6b21\u5143\u3067\u306e\u5e7e\u4f55\u7684\u51e6\u7406\u3092\u5b9f\u884c\u3059\u308b\u306e\u304c\u7cbe\u4e00\u676f\u3060\u3068\u3069\u3046\u3057\u3066\u3082\u8003\u3048\u304c\u3061\u306a\u306e\u3067\u3001\u4eba\u9593\u304c\u4ecb\u5728\u3059\u308b\u5fc5\u8981\u6027\u304c\u80cc\u53cd\u7684\u3067\u697d\u3057\u3044\u3067\u3059\u3002x\u304b\u3089n\u500b\u306e\u8fba\u3092\u8fbf\u3063\u3066y\u307e\u3067\u884c\u3051\u308b\u9806\u5e8f\u95a2\u4fc2\u3092\u8ad6\u7406\u548c\u3067x\uff5cy=y\u3068\u8868\u305b\u307e\u3059\u3002\u8ad6\u7406\u7a4d\u3067x=x&y\u3068\u3082\u8868\u305b\u307e\u3059\u3002\u9806\u5e8f\u95a2\u4fc2\u306e\u516c\u7406\u3067\u306f\u53cd\u5c04\u5f8b\u3001\u53cd\u5bfe\u79f0\u5f8b\u3001\u63a8\u79fb\u7387\u304c\u3042\u308a\u3001\u30d3\u30c3\u30c8\u6f14\u7b97\u3067\u306f\u5206\u914d\u5f8b\u3082\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u5206\u914d\u5f8b\u3092\u6e80\u305f\u3059\u675f\u3068\u88dc\u5143\u304c\u5b58\u5728\u3059\u308b\u76f8\u88dc\u7684\u675f\u3092\u30d6\u30fc\u30eb\u675f\u3068\u3044\u3044\u30d6\u30fc\u30eb\u4ee3\u6570\u306b\u306a\u308a\u307e\u3059\u3002\u6700\u5f8c\u306b\u7d20\u56e0\u6570\u5206\u89e3\u3067\u306e\u7d04\u6570\u3068\u306e\u95a2\u4fc2\u3082\u30cf\u30c3\u30bb\u56f3\u3067\u8868\u305b\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u30d3\u30c3\u30c8\u30d1\u30bf\u30fc\u30f3\u3001\u96c6\u5408\u3001\u7d04\u6570\u3092\u30d6\u30fc\u30eb\u4ee3\u6570\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u6c17\u4ed8\u304b\u305b\u3066\u304f\u308c\u307e\u3059\u3002<\/p>\n
<\/p>\n
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