{"id":14319,"date":"2023-05-16T16:53:05","date_gmt":"2023-05-16T07:53:05","guid":{"rendered":"https:\/\/zelkova-tree.net\/WordPress\/?p=14319"},"modified":"2023-05-16T17:03:15","modified_gmt":"2023-05-16T08:03:15","slug":"%e9%80%b2%e6%8d%97%e3%81%af%e9%81%85%e3%81%84%e3%81%8c%ef%bc%8c%e5%a4%9a%e5%b0%91%e3%81%af%e9%80%b2%e3%82%93%e3%81%a0","status":"publish","type":"post","link":"https:\/\/zelkova-tree.net\/WordPress\/2023\/05\/16\/%e9%80%b2%e6%8d%97%e3%81%af%e9%81%85%e3%81%84%e3%81%8c%ef%bc%8c%e5%a4%9a%e5%b0%91%e3%81%af%e9%80%b2%e3%82%93%e3%81%a0\/","title":{"rendered":"\u9032\u6357\u306f\u9045\u3044\u304c\uff0c\u591a\u5c11\u306f\u9032\u3093\u3060"},"content":{"rendered":"<p><font face=\"\u30e1\u30a4\u30ea\u30aa\"><\/p>\n<p>\u9032\u6357\u306f\u9045\u3044\u304c\uff0c\u591a\u5c11\u306f\u9032\u3093\u3060\uff0e\u03c6\u3068\u03c8\u3092\u51fa\u529b\u3059\u308b\u3088\u3046\u306b\u3057\u3066\u307f\u305f\u304c\uff0c\u51fa\u529b\u3068\u306e\u95a2\u308f\u308a\u304c\u4e0d\u660e\u3060\uff0eG\u3092\uff4e\u3068k-1\u306e\u6700\u5927\u516c\u7d04\u6570\uff0cM\u3092\u7570\u7a2e\u6587\u5b57\u6570\u3068\u3057\u305f\u3068\u304d\uff0c\u7e26\u6570\u5217\u3067\u306fG*M\uff1d\uff4b\uff0d\uff11\u304c\u3064\u306d\u306b\u6210\u7acb\u3057\u3066\u3044\u308b\u304c\uff0c\u6a2a\u6570\u5217\u3067\u306f\u5d29\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u601d\u308f\u308c\u308b\uff0e\u5468\u671f\u3068\u03c8\u306b\u306f\u9023\u95a2\u304c\u3042\u308b\u306f\u305a\u3060\u304c\u8aad\u307f\u53d6\u308c\u306a\u3044\uff0e\u03c8\u306e\u53d6\u308a\u65b9\u304c\u9593\u9055\u3063\u3066\u3044\u308b\u306e\u3060\u308d\u3046\u304b\uff1f\u3064\u307e\u308a\uff0c\u6a2a\u6570\u5217\u30fb\u7e26\u6570\u5217\u306e\u5468\u671f\u6027\u3068\u5faa\u74b0\u5c0f\u6570\u306e\u5468\u671f\u6027\u306a\u3044\u3057\uff0c\u5270\u4f59\u6570\u5217\u306e\u5468\u671f\u6027\u3068\u306e\u95a2\u4fc2\u304c\u898b\u3048\u306a\u3044\uff0e\u03c8\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\uff0c\uff4e\u3068\uff42\u3092\u6c7a\u3081\u308b\u5fc5\u8981\u304c\u3042\u308b\u304c\uff0c\u4f55\u304c\uff4e\u306b\u8a72\u5f53\u3057\uff0c\u4f55\u3092\uff42\u3068\u3059\u308c\u3070\u3088\u3044\u306e\u304b\u304c\u3044\u307e\u3044\u3061\u91c8\u7136\u3068\u3057\u306a\u3044\uff0e<\/p>\n<p>\u03c8\u5024\u306f\u03c6\u5024\u306e\u7d04\u6570\u3067\u3042\u308b\uff0e\u4eca\u306e\u3068\u3053\u308d\uff0c\uff4e\u306e\u03c6\u5024\u3092\u8868\u793a\u3057\u3066\u3044\u308b\uff0e\u3053\u306e\u5024\u3068\u03c8\u306f\uff0c\u78ba\u304b\u306b\u03c8|\u03c6\u306e\u95a2\u4fc2\u306b\u306a\u3063\u3066\u3044\u308b\u304c\uff0c\u3053\u308c\u3067\u3088\u3044\u306e\u3060\u308d\u3046\u304b\uff1f\u03c6(k)\u3068\u3059\u308b\u3068\uff0c\u5024\u306f\uff16\u306b\u306a\u308b\uff0eG\u3068M\u306e\u7a4d\u306fn=1, 6\u3092\u9664\u304f\u3068\u3059\u3079\u3066\u3053\u306e\u5024\u306b\u4e00\u81f4\u3059\u308b\uff0e\u305f\u3060\u3057\uff0c\u3053\u306e\u5834\u5408\uff0c\u305f\u3068\u3048\u3070n=5\u3067\u306f\u03c6=6, \u03c8=4\u3067\u03c8\u306f\u03c6\u3092\u5272\u308a\u5207\u308c\u306a\u304f\u306a\u308b\uff0e\u03c8(k, i)\u3092\u53d6\u308b\u3068\uff0cn=1\u3067\u306f\uff10\u3068\u306a\u308b\u304c\uff0c\u305d\u308c\u4ee5\u5916\u3067\u306f3, 6, 3, 6, 2\u3068\u306a\u308a\uff0c\u03c6\u306e\u7d04\u6570\u304c\u51fa\u3066\u304f\u308b\uff0e\u7279\u306b\uff0cn=3, 5 \u306a\u3069\u306e\u5c3d\u6570\u5217\u306b\u306a\u308b\u3068\u3053\u308d\u3067\uff0c\u03c8=6\u3068\u306a\u3063\u3066\u3044\u308b\u70b9\u304c\u8208\u5473\u6df1\u3044\uff0e\u307e\u305f\uff0c\u3053\u306e\u6570\u5b57\u306fn=1\u306e\u5834\u5408\u3092\u9664\u3044\u3066\uff0cM\u3068\u5b8c\u5168\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\uff0e\u78ba\u304b\u306b\u3053\u306e\u6570\u5024\u306e\u65b9\u304c\u6b63\u3057\u3044\u3088\u3046\u306b\u601d\u308f\u308c\u308b\uff0e<\/p>\n<p>M\u3068\u03c8\u304c\uff08\u307b\u307c\uff09\u5b8c\u5168\u306b\u4e00\u81f4\u3059\u308b\u3068\u3044\u3046\u306e\u306f\u91cd\u8981\u306a\u30dd\u30a4\u30f3\u30c8\u3067\u306f\u3042\u308b\u304c\uff0c\u3053\u3053\u3067\u306f\u3061\u3087\u3063\u3068\u7f6e\u3044\u3066\uff0c\u3082\u3046\u5c11\u3057\u5148\u306b\u9032\u3093\u3067\u304a\u304f\u3053\u3068\u306b\u3057\u3088\u3046\uff0e\u3079\u304d\u5270\u4f59\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u306f\u30c6\u30fc\u30d6\u30eb\u306e\u51fa\u529b\u3092\u3082\u3046\u5c11\u3057\u5145\u5b9f\u3055\u305b\u308b\u3068\u3044\u3046\u8ab2\u984c\u304c\u6b8b\u3063\u3066\u3044\u308b\u304c\uff0c\u305d\u3053\u306b\u9032\u3080\u524d\u306b\uff0c\u3079\u304d\u4e57\u5270\u4f59\u3068\u306e\u95a2\u4fc2\u3092\u3082\u3046\u5c11\u3057\u660e\u3089\u304b\u306b\u3057\u3066\u304a\u304d\u305f\u3044\uff0e\u5faa\u74b0\u5c0f\u6570\u3068\u306e\u95a2\u4fc2\u306b\u3064\u3044\u3066\u306f\u307e\u3060\u304b\u306a\u308a\u4e0d\u660e\u306a\u70b9\u304c\u591a\u3044\u306e\u3067\u3057\u3070\u3089\u304f\u7f6e\u304f\u3068\u3057\u3066\uff0c\u3079\u304d\u4e57\u5270\u4f59\u3068\u3079\u304d\u5270\u4f59\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306f\u5730\u7d9a\u304d\u3067\u3042\u308b\u306e\u3060\u304b\u3089\uff0c\u305d\u306e\u95a2\u4fc2\u3092\u3082\u3063\u3068\u306f\u3063\u304d\u308a\u3055\u305b\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e\u3053\u306e\u305f\u3081\u306b\u306f\uff0c\u3079\u304d\u4e57\u5270\u4f59\u3068\u3079\u304d\u5270\u4f59\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3092\u4e00\u4f53\u5316\u3055\u305b\u308b\u3068\u3044\u3046\u306e\u304c\u4e00\u756a\u8fd1\u9053\u306a\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u601d\u3046\uff0e<\/p>\n<p>\u3079\u304d\u4e57\u5270\u4f59\u6570\u5217\u306b\u306f\uff13\u6a5f\u80fd\u3042\u308b\uff0e\u2460n^p mod k \u3092\u8a08\u7b97\u3059\u308b\uff0c\u2461n^p mod k \u306e\u5270\u4f59\u6570\u5217\u5468\u671f\u3092\u8a08\u7b97\u3059\u308b\uff0c\u2462\u3053\u308c\u3089\u306e\u5305\u62ec\u30c6\u30b9\u30c8\uff0e\uff13\u6a5f\u80fd\u306e\u4e2d\u5fc3\u304c\u2461\u306e\u5270\u4f59\u6570\u5217\u5468\u671f\u306e\u8a08\u7b97\u306b\u3042\u308b\u3053\u3068\u306f\u78ba\u304b\u3060\uff0e\u3079\u304d\u4e57\u5270\u4f59\u5468\u671f\u306f\u03c8\u306b\u95a2\u308f\u308a\u304c\u3042\u308b\u306f\u305a\u3060\u304b\u3089\uff0c\u3044\u307e\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u308b\u70b9\u306b\u3082\u3063\u3068\u3082\u8fd1\u3044\u306f\u305a\u3060\uff0e\u3053\u306e\u6a5f\u80fd\u306e\u30b3\u30a2\u306fResidueFunc\u3068\u3044\u3046\u95a2\u6570\u3060\uff0e\u3053\u306e\u95a2\u6570\u306f\u300c&#8217;\u5bfe\u8c61\u6570\uff4e\u306e\u3079\u304d\u4e57\u306e k \u306b\u3088\u308b\u5270\u4f59\u3092\u8a08\u7b97\u3057\uff0c\u5270\u4f59\u5217\u306e\u5468\u671f\u3092\u8fd4\u3059\u300d\u3068\u3044\u3046\u3082\u306e\u3067\uff0c\uff4e\u3068\uff4b\u306f\u753b\u9762\u4e0a\u306e\u5165\u529b\u304b\u3089\u53d6\u308a\u51fa\u3057\u3066\u3044\u308b\uff0eModPow\u3067\u3079\u304d\u5270\u4f59\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u304c\uff0c\u305d\u306e\u7bc4\u56f2\u30921\uff5e2k\u3068\u3057\u3066\u3044\u308b\uff0e\uff4b\u306fBigInteger\u3067\u306f\u3042\u308b\u304c\uff0c\u304a\u3088\u305d\u6574\u6570\u7bc4\u56f2\u5185\u3067\u3042\u308b\u3053\u3068\u304c\u4e88\u5b9a\u3055\u308c\u3066\u3044\u308b\uff0e<\/p>\n<p>R()\u3068\u3044\u3046\u914d\u5217\u306b\u306f\u3079\u304d\u5270\u4f59\u306e\u8a08\u7b97\u5024\u304c\u683c\u7d0d\u3055\u308c\uff0c\u305d\u308c\u3092\u4e0a\u304b\u3089\u8d70\u67fb\u3057\u3066\u7e70\u308a\u8fd4\u3057\u306e\u958b\u59cb\u70b9\u3092\u898b\u3064\u3051\u308b\u3068\u3044\u3046\u3084\u308a\u65b9\u3060\uff0e\u539f\u7406\u7684\u306b\u306f\u3079\u304d\u4e57\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u5b9f\u65bd\u3057\u3066\u3044\u308b\u3053\u3068\u3068\u5927\u5dee\u306a\u3044\u3082\u306e\u3068\u601d\u308f\u308c\u308b\uff0e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u306f\u5270\u4f59\u3092R\u3068\u3044\u3046\u30cf\u30c3\u30b7\u30e5\u30c6\u30fc\u30d6\u30eb\u306b\u683c\u7d0d\u3059\u308b\u4ee3\u308f\u308a\u306b\uff0c\u76f4\u63a5\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3068\u3057\u3066\u69cb\u6210\u3057\u3066\u3044\u308b\uff0e\u3064\u307e\u308a\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u4e00\u884c\u304c\u307b\u307c\u3079\u304d\u4e57\u5270\u4f59\u306e\uff11\u56de\u5206\u306b\u76f8\u5f53\u3059\u308b\uff0e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\uff4b\u304c\u3079\u304d\u4e57\u5270\u4f59\u306e\uff4e\u306b\u76f8\u5f53\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u70b9\u304c\u3084\u3084\u6df7\u4e71\u3092\u62db\u304d\u6613\u3044\u3068\u3053\u308d\u3060\uff0e<\/p>\n<p>\u3079\u304d\u4e57\u5270\u4f59\u3067\u306f\u4e00\u884c\u5206\u306e\u8a08\u7b97\u3057\u304b\u5b9f\u65bd\u3057\u3066\u3044\u306a\u3044\u306e\u3067\uff0c\u305d\u3053\u305d\u3053\u306e\u6642\u9593\u3067\u8a08\u7b97\u5b8c\u4e86\u3057\u3066\u3044\u308b\u304c\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u306fk^2\u306e\u8a08\u7b97\u3092\u884c\u3063\u3066\u3044\u308b\u306e\u3067\uff0c\u6570\u5b57\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u3084\u3084\u5b9f\u969b\u7684\u306a\u3082\u306e\u3067\u306f\u306a\u304f\u306a\u3063\u3066\u3057\u307e\u3046\u3068\u3044\u3046\u70b9\u304c\u81f4\u547d\u7684\u306a\u3068\u3053\u308d\u3060\uff0e\u9006\u306b\u3079\u304d\u4e57\u5270\u4f59\u306e\u8a08\u7b97\u6cd5\u3092\u4f7f\u3063\u3066\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3092\u69cb\u6210\u3059\u308b\u3053\u3068\u306f\u53ef\u80fd\u3060\u308d\u3046\u304b\uff1f\u3044\u3084\uff0c\u3079\u304d\u4e57\u5270\u4f59\u306b\u306fP\u3068\u3044\u3046\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u95a2\u308f\u3063\u3066\u3044\u308b\uff0e\u3053\u3053\u3067\u8a08\u7b97\u3057\u3066\u3044\u308b\u306e\u306fn^p mod k\u3068\u3044\u3046\u8a08\u7b97\u3060\uff0e\u3044\u3084\uff0cp\u306f\u53ef\u5909\u30671\uff5e2k\u307e\u3067\u3068\u3044\u3046\u306e\u306f\u3053\u306e\u5024\u306e\u3053\u3068\u3060\uff0e\u5f93\u3063\u3066\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\uff4b\u3068\u5270\u4f59\u6570\u5217\u306e\uff4b\u306f\u4e00\u81f4\u3057\u3066\u3044\u308b\uff0e<\/p>\n<p>\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u3082 n^p mod k \u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u304c\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u306fn\u2266k\u306e\u7bc4\u56f2\u3057\u304b\u6271\u308f\u306a\u3044\uff0e\u5faa\u74b0\u3057\u3066\u3044\u308b\u304b\u3089\u305d\u308c\u4ee5\u4e0a\u306f\u4e0d\u8981\u3068\u3044\u3046\u7acb\u5834\u3060\uff0e\u5f93\u3063\u3066\uff0c\u5270\u4f59\u6570\u5217\u3067\u3082\uff4b\u306e\u5270\u4f59\u3092\u53d6\u3063\u3066\u3044\u308b\u306e\u3060\u304b\u3089\uff0c\uff4b\u3088\u308a\u5927\u304d\u3044\u6570\u5b57\u306f\u6570\u5217\u306b\u306f\u73fe\u308c\u306a\u3044\uff0e\u3067\u3042\u308b\u3068\u3059\u308c\u3070\uff0c\u3079\u304d\u4e57\u5270\u4f59\u6570\u5217\u3067\u8a08\u7b97\u3059\u308b\u3068\u304d\u3067\u3082\u6700\u521d\u306b n=N mod k \u304b\u3089\u59cb\u3081\u3066\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u304b\uff1f\u3053\u308c\u304c\u3067\u304d\u308c\u3070\u8a08\u7b97\u306f\u76f8\u5f53\u7e2e\u5c0f\u3055\u308c\uff0c\u9ad8\u901f\u5316\u3059\u308b\u3082\u306e\u3068\u601d\u308f\u308c\u308b\uff0eResidueFunc\u306b\u306fResidueFunc2\u3068\u3044\u3046\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\uff0c\u4e26\u5217\u5b9f\u884c\u3057\u3066\u5024\u304c\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u3044\u308b\u304c\uff0c\u3069\u3053\u304c\u9055\u3046\u306e\u304b\uff1f\u21d2\u591a\u5206\u3053\u306e\u9055\u3044\u306f\u30b9\u30ad\u30e3\u30f3\u3059\u308b\u7bc4\u56f2\u304c\u9055\u3046\u3060\u3051\u3067\u306f\u306a\u3044\u304b\u3068\u601d\u3046\uff0e\u3064\u307e\u308a\uff0cResidueFunc2\u3067\u306f2k\u3067\u306f\u306a\u304f\uff0c\uff4b\u307e\u3067\u306e\u7bc4\u56f2\u3057\u304b\u691c\u5b9a\u3057\u3066\u3044\u306a\u3044\uff0e<\/p>\n<p>\u5468\u671f\u306e\u958b\u59cb\u70b9\u3092\u898b\u3064\u3051\u308b\u3060\u3051\u306a\u3089\uff0c\u304a\u305d\u3089\u304f\u3053\u308c\u3067\u5341\u5206\u3068\u601d\u308f\u308c\u308b\u304c\uff0c\u5468\u671f\u305d\u306e\u3082\u306e\u306f\uff4b\u306e\u7bc4\u56f2\u3092\u8d85\u3048\u306a\u3044\u3068\u51fa\u3066\u6765\u306a\u3044\u306e\u3067\u306f\u306a\u3044\u3060\u308d\u3046\u304b\uff1f\u3082\u3046\u4e00\u3064\u4e0d\u5be9\u306a\u70b9\u306f\uff0cResidueFunc\u306b\u306f\u30c9\u30ed\u30c3\u30d7\u3068\u3044\u3046\u6982\u5ff5\u304c\u3042\u308b\u306e\u306b\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u306f\u305d\u306e\u3088\u3046\u306a\u6982\u5ff5\u304c\u5b58\u5728\u3057\u3066\u3044\u306a\u3044\u3088\u3046\u306b\u898b\u3048\u308b\u70b9\u3060\uff0e\u30c9\u30ed\u30c3\u30d7\u306f\u5faa\u74b0\u5c0f\u6570\u306e\u56fa\u5b9a\u90e8\u306b\u95a2\u4fc2\u3057\u3066\u3044\u308b\u3088\u3046\u306a\u6c17\u304c\u3059\u308b\u304c\uff0c\u30c9\u30ed\u30c3\u30d7\u304c\u51fa\u3066\u3053\u306a\u3044\u306e\u306f\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u5bfe\u8c61\u3092\u3044\u307e\u306e\u3068\u3053\u308d\u7d20\u6570\u306b\u9650\u5b9a\u3057\u3066\u3044\u308b\u305f\u3081\u304b\u3082\u3057\u308c\u306a\u3044\uff0e<\/p>\n<p>ResidueFunc\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u3092\u3082\u3046\u3072\u3068\u3064\u4f5c\u3063\u3066\uff0cN mod k \u3092\uff4e\u3068\u3057\u3066\u4e0e\u3048\u305f\u5834\u5408\u306b\u3069\u3046\u306a\u308b\u304b\u3092\u898b\u3066\u307f\u308b\u3068\u3044\u3046\u306e\u304c\u3088\u3044\u306e\u3067\u306f\u306a\u3044\u304b\uff1fResidueFunc\u3092\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306b\u79fb\u690d\u3057\u3066\u30c6\u30b9\u30c8\u3059\u308b\u3088\u308a\uff0c\u5270\u4f59\u6570\u5217\u5074\u3067\u8a66\u3057\u305f\u65b9\u304c\u65e9\u3044\uff0e\u3061\u3083\u3093\u307d\u3093\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u304c\uff0c\u3084\u3063\u3066\u307f\u308b\u3053\u3068\u306b\u3057\u3088\u3046\uff0eResidueFunc\u3068ResidueFunc2\u306e\u6bd4\u8f03\u3067\u306f\u304a\u305d\u3089\u304fcycle\u3057\u304b\u898b\u3066\u3044\u306a\u3044\u306e\u3060\u308d\u3046\uff0e\u21d2\u3044\u3084\uff0c\u300cN mod k \u3092\uff4e\u3068\u3057\u3066\u4e0e\u3048\u305f\u5834\u5408\u300d\u3068\u3044\u3046\u306e\u306f\u3059\u3067\u306bGoButton\u3067\u3084\u3063\u3066\u3044\u308b\u3053\u3068\u3060\uff0e\u5192\u982d\u3067a=ModPow(n, p, k)\u3092\u5b9f\u884c\u3057\uff0c\u305d\u306e\u5024\u3092\u4f7f\u3063\u3066\uff0cResidueFunc(a, k, True)\u3092\u5b9f\u884c\u3057\u3066\u3044\u308b\uff0e\u3064\u307e\u308a\uff0cResidueFunc\u306e\u5bfe\u8c61\u5024a\u306f\u3059\u3067\u306b\u5270\u4f59\u3092\u53d6\u3063\u305f\u5024\u3060\uff0e<\/p>\n<p>\u78ba\u304b\u306b\uff0c\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u8a08\u7b97\u3068\u5270\u4f59\u6570\u5217\u306e\u8a08\u7b97\u306f\u4e00\u81f4\u3057\u3066\u3044\u308b\uff0e\u3053\u306e\u8a08\u7b97\u306b\u306fB\u306f\u95a2\u308f\u3063\u3066\u3044\u306a\u3044\u306e\u3067\uff0c\u03c8\u5024\u3082\u8a08\u7b97\u3055\u308c\u3066\u3044\u306a\u3044\uff0e\u307e\u305f\uff0c\u5faa\u74b0\u5c0f\u6570\u3068\u306f\u7570\u306a\u308a\uff0c\u300c\u56fa\u5b9a\u90e8\u300d\u3068\u3044\u3046\u306e\u306f\u51fa\u3066\u6765\u306a\u3044\uff0ek=24\u3067\u30c9\u30ed\u30c3\u30d7\u304c\u767a\u751f\u3057\u305f\uff0eN=2\uff0ci=48, cycle=2, x=2\u3060\uff0e\u3069\u3046\u3044\u3046\u73fe\u8c61\u304c\u8d77\u304d\u3066\u3044\u308b\u306e\u304b\uff1fK\u3092\uff11\u304b\u308925\u307e\u3067\u5909\u3048\u3066\u30c6\u30b9\u30c8\u3057\u3066\u307f\u305f\uff0eK=9\u3067\u767a\u751f\u3059\u308b\uff0e\u958b\u59cb\u756a\u53f7N\u3092\uff11\uff5e\u306b\u5909\u66f4\u3057\u305f\u3089\uff0cK-4\u3067\u767a\u751f\u3057\u305f\uff0ei\uff1d8, cycle=1, x=2\u3060\uff0e\u30c9\u30ed\u30c3\u30d7\u3068\u3044\u3046\u306e\u306f\uff0c\u304b\u306a\u308a\u9650\u3089\u308c\u305f\u6761\u4ef6\u3067\u3057\u304b\u8d77\u304d\u3066\u3044\u306a\u3044\u3088\u3046\u3060\uff0e<\/p>\n<p>\u5305\u62ec\u30c6\u30b9\u30c8\u3067\u306fGoButton\u3067\u3084\u3063\u3066\u3044\u308b\u3088\u3046\u306aa=ModPow(n, p, k)\u306e\u64cd\u4f5c\u306f\u884c\u308f\u305a\uff0c\u76f4\u63a5num\u3092\u5bfe\u8c61\u306b\u3079\u304d\u4e57\u5270\u4f59\u3092\u53d6\u3063\u3066\u3044\u308b\uff0e\u307e\u305f\uff0cPsiFunction\u3067\u306f\uff08n\u3068\uff42\u304c\u4e92\u3044\u306b\u7d20\u3067\u306a\u3044\u5834\u5408\u306b\u306f\uff09\u5185\u90e8\u3067ResidueFunc\u3092\u4f7f\u3063\u3066\u5faa\u74b0\u5468\u671f\u3092\u6c42\u3081\u3066\u3044\u308b\uff0e\u305f\u3060\u3057\uff0c\u3053\u3053\u3067\u306fResidueFunc\u3092\u547c\u3073\u51fa\u3057\u3066\u3044\u308b\u3060\u3051\u3067\uff0c\u305d\u306e\u7d50\u679c\u306f\u53cd\u6620\u3055\u308c\u3066\u3044\u306a\u3044\uff0e\u3064\u307e\u308a\uff0c\u672a\u5b8c\u3068\u3044\u3046\u3053\u3068\u306e\u3088\u3046\u3060\uff0e<\/p>\n<p>\u30c9\u30ed\u30c3\u30d7\u304c\u767a\u751f\u3059\u308b\u306e\u306f\uff4b\u304c\u5408\u6210\u6570\u306e\u5834\u5408\u306b\u9650\u3089\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u306e\u306f\u9593\u9055\u3044\u306a\u3044\uff0ek=1\uff5e25\u306e\u7bc4\u56f2\u3067\u306f\uff0ck=4, 8, 9, 12, 16, 18, 20, 24, 25\u3067\u8d77\u304d\u3066\u3044\u308b\uff0e\u30c9\u30ed\u30c3\u30d7\u304c\u8d77\u304d\u3066\u3044\u306a\u3044\u6570\u3068\u3057\u3066\uff0c6, 10, 14, 15, 21, 22\u304c\u3042\u308b\uff0e\u304a\u305d\u3089\u304f\u30c9\u30ed\u30c3\u30d7\u304c\u8d77\u304d\u308b\u6761\u4ef6\u306f\u7d20\u56e0\u6570\u306e\u7a4d\u306b\u6307\u6570\u304c2\u4ee5\u4e0a\u306e\u3082\u306e\u304c\u542b\u307e\u308c\u308b\u3068\u3044\u3046\u70b9\u306b\u3042\u308b\u3088\u3046\u306b\u63a8\u5b9a\u3055\u308c\u308b\uff0e\u3069\u3053\u304b\u3067\u3053\u306e\u3088\u3046\u306a\u6761\u4ef6\u3092\u898b\u305f\u3053\u3068\u304c\u3042\u308b\u3088\u3046\u306a\u6c17\u304c\u3059\u308b\u306e\u3060\u304c\uff0c\u601d\u3044\u51fa\u305b\u306a\u3044\uff0e\u21d2\u4ee5\u4e0b\u306e\u300c\u3072\u3068\u3064\uff0c\u304a\u3082\u3057\u308d\u3044\u3053\u3068\u3092\u767a\u898b\u3057\u305f\u300d\u3067\u305d\u306e\u3053\u3068\u3092\u8ff0\u3079\u3066\u3044\u308b\uff0e<\/p>\n<p><a title=\"https:\/\/www.facebook.com\/groups\/2354748741306929\/posts\/6031847776930322\/?comment_id=6046762375438862\" href=\"https:\/\/www.facebook.com\/groups\/2354748741306929\/posts\/6031847776930322\/?comment_id=6046762375438862\">https:\/\/www.facebook.com\/groups\/2354748741306929\/posts\/6031847776930322\/?comment_id=6046762375438862<\/a><\/p>\n<p>\u5f15\u7528\u3057\u3066\u304a\u3053\u3046\uff0e\u300c\u3079\u304d\u4e57\u306e\u5270\u4f59\u6570\u5217\u306f\u4e00\u822c\u306b\u5468\u671f\u6027\u3092\u6301\u3063\u3066\u3044\u308b\u304c\uff0c\u3079\u304d\u4e57\u306e\u5270\u4f59\u6570\u5217\u306e\u521d\u9805\u3068\u305d\u308c\u306b\u7d9a\u304f\u9805\u306f\u5468\u671f\u6570\u5217\u304b\u3089\u6f0f\u308c\u843d\u3061\u308b\u5834\u5408\u304c\u3042\u308b\uff0e\u3053\u306e\u3088\u3046\u306a\u9805\u3092\u30c9\u30ed\u30c3\u30d7\u30a2\u30a6\u30c8\u9805\u306a\u3044\u3057\u843d\u4f0d\u9805\u3068\u547c\u3076\u3053\u3068\u306b\u3059\u308b\uff0e\u2460\uff4e\u3068\uff4b\u304c\u4e92\u3044\u306b\u7d20\u306e\u5834\u5408\u306b\u306f\uff0c\u843d\u4f0d\u9805\u306f\u751f\u3058\u306a\u3044\uff0e\u2461\uff4b\u304c\u7d20\u6570\u306e\u5358\u7d14\u306a\u7a4d\u3067\u3042\u308b\u5834\u5408\u306b\u3082\u843d\u4f0d\u9805\u306f\u751f\u3058\u306a\u3044\uff0c\u2462\uff4b\u306e\u7d20\u56e0\u6570\u304c\u3079\u304d\u306b\u306a\u3063\u3066\u3044\u308b\u5834\u5408\u306b\u306f\u843d\u4f0d\u9805\u304c\u751f\u3058\u308b\uff0e\u300d<\/p>\n<p><\/p>\n<p><\/p>\n<p><\/font><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9032\u6357\u306f\u9045\u3044\u304c\uff0c\u591a\u5c11\u306f\u9032\u3093\u3060\uff0e\u03c6\u3068\u03c8\u3092\u51fa\u529b\u3059\u308b\u3088\u3046\u306b\u3057\u3066\u307f\u305f\u304c\uff0c\u51fa\u529b\u3068\u306e\u95a2\u308f\u308a\u304c\u4e0d\u660e\u3060\uff0eG\u3092\uff4e\u3068k-1\u306e\u6700\u5927\u516c\u7d04\u6570\uff0cM\u3092\u7570\u7a2e\u6587\u5b57\u6570\u3068\u3057\u305f\u3068\u304d\uff0c\u7e26\u6570\u5217\u3067\u306fG*M\uff1d\uff4b\uff0d\uff11\u304c\u3064\u306d\u306b\u6210\u7acb\u3057\u3066\u3044\u308b\u304c\uff0c\u6a2a\u6570\u5217\u3067\u306f\u5d29\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u601d\u308f\u308c &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/zelkova-tree.net\/WordPress\/2023\/05\/16\/%e9%80%b2%e6%8d%97%e3%81%af%e9%81%85%e3%81%84%e3%81%8c%ef%bc%8c%e5%a4%9a%e5%b0%91%e3%81%af%e9%80%b2%e3%82%93%e3%81%a0\/\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u9032\u6357\u306f\u9045\u3044\u304c\uff0c\u591a\u5c11\u306f\u9032\u3093\u3060&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/posts\/14319"}],"collection":[{"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/comments?post=14319"}],"version-history":[{"count":10,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/posts\/14319\/revisions"}],"predecessor-version":[{"id":14329,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/posts\/14319\/revisions\/14329"}],"wp:attachment":[{"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/media?parent=14319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/categories?post=14319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zelkova-tree.net\/WordPress\/wp-json\/wp\/v2\/tags?post=14319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}