{"id":218,"date":"2023-08-18T18:04:49","date_gmt":"2023-08-18T10:04:49","guid":{"rendered":"http:\/\/blog.xjfvps.top\/index.php\/2023\/08\/18\/%e7%bb%84%e5%90%88%e7%ae%97%e6%b3%95\/"},"modified":"2023-08-18T21:25:33","modified_gmt":"2023-08-18T13:25:33","slug":"%e7%bb%84%e5%90%88%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/blog.fs.cloudns.biz\/index.php\/2023\/08\/18\/%e7%bb%84%e5%90%88%e7%ae%97%e6%b3%95\/","title":{"rendered":"\u7ec4\u5408\u7b97\u6cd5<\u8f6c>"},"content":{"rendered":"

\u7ec4\u5408\u7684\u7b97\u6cd5    \u51fa\u5904\uff1ahttp:\/\/community.csdn.net\/Expert\/topic\/3143\/3143703.xml?temp=.5916101<\/A> <\/P>
\n

                       \u539f\u4f5c\u8005\uff1acxjddd (\u7a7a\u6d6e\u65e0\u6839)<\/P>
\n

\u5185\u5bb9\u7b80\u4ecb\uff1a<\/P>
\n

\u3000\u3000\u672c\u6587\u8bb2\u8ff0\u6c42\u4e00\u79cd\u6c42\u6392\u5217\u7ec4\u5408\u4e2d\u7684“\u7ec4\u5408”\u7684\u7b97\u6cd5\u3002\u672c\u7b97\u6cd5\u901a\u8fc7\u7ec4\u7ec7\u9009\u5165\u7ec4\u5408
\u7684\u5143\u7d20\u548c\u672a\u9009\u5165\u7ec4\u5408\u7684\u5143\u7d20\u4e4b\u95f4\u6b21\u5e8f\uff0c\u4ee5\u65b9\u4fbf\u6c42\u5f97\u4e0b\u4e00\u4e2a\u7ec4\u5408\u2014\u2014\u66f4\u5927\u7684\u6216\u66f4\u5c0f
\u7684\u3002\u7b97\u6cd5\u91c7\u7528\u4e86\u4e0e STL \u4e2d\u7684\uff08next\u3001prev\uff09permutation \u7c7b\u4f3c\u7684\u8868\u8fbe\u65b9\u6cd5\uff0c\u5c06
\u6240\u6709\u7ec4\u5408\u7eb3\u5165\u4e00\u4e2a“\u7531\u5c0f\u5230\u5927”\u7684\u7ebf\u6027\u5e8f\u5217\u91cc\u3002<\/P>
\n


\u5173\u952e\u5b57\uff1a<\/P>
\n

\u7ec4\u5408\u3000\u4eba\u5b57\u5f62\u3000\u7b97\u6cd5\u3000STL\u3000\u6392\u5217<\/P>
\n


\u6b63\u6587\uff1a<\/P>
\n

\u3000\u3000\u53d7 STL \u7684\u6392\u5217\u7b97\u6cd5\uff08next_permutation \u548c prev_permutation\uff09\u7684\u5f71\u54cd\uff0c
\u60f3\u5199\u4e00\u4e2a\u7ec4\u5408\u7684\u7b97\u6cd5\uff0c\u5176\u7ed3\u679c\u5c31\u662f\u4e00\u4e2a\u7c7b\u4f3c\u4e8e“\u4eba”\u5b57\u7684\u7b97\u6cd5\u3002\u5f62\u5982“\u4eba”\u5b57\uff0c
\u6240\u6709\u7684\u5143\u7d20\u88ab\u5904\u7406\u6210\u5de6\u8fb9\u5347\u5e8f\uff0c\u53f3\u8fb9\u964d\u5e8f\u3002<\/P>
\n


\u3000\u3000\u5148\u8bf4\u4e00\u4e0b\u7ec4\u5408\u4e4b\u95f4\u7684\u6b21\u5e8f\uff0c\u4ee5 {1, 2, 3, 4} \u9009\u4e8c\u4e3a\u4f8b\uff0c\u6700“\u5c0f”\u7684\u7ec4\u5408\u662f\uff1a
{1, 2}\uff0c\u7136\u540e\u662f {1, 3}\uff0c{1, 4}\uff0c{2, 3}\uff0c{2, 4}\uff0c\u6700“\u5927”\u7684\u7ec4\u5408\u5219\u662f {3,
4}\u3002\u5982\u679c\u662f\u4ece\u5c0f\u5230\u5927\u7684\u5217\u51fa\u7ec4\u5408\uff0c\u5219\u53ea\u8981\u4ece\u5269\u4f59\u7684\u5143\u7d20\u91cc\u9009\u51fa\u4e0b\u4e00\u4e2a\u66f4\u5927\u7684\u5143\u7d20\uff0c
\u7136\u540e\u5c31\u53ef\u4ee5\u5f88\u5feb\u5730\u6c42\u51fa\u4e0b\u4e00\u4e2a\u66f4\u5927\u7684\u7ec4\u5408\u3002\u6bd4\u5982\u5bf9\u7ec4\u5408 {1, 2}\uff0c\u53ef\u4ece\u5269\u4e0b\u7684 3\u3001
4 \u91cc\u9009\u53d6 3 \u6765\u4ee3\u66ff 2\uff0c\u6c42\u5f97\u4e0b\u4e00\u4e2a\u7ec4\u5408\u4e3a {1, 3}\u3002\u800c\u5bf9\u7ec4\u5408 {2, 4}\uff0c\u53ef\u4ece\u5269
\u4e0b\u7684 1\u30013 \u91cc\u9009\u53d6 3 \u6765\u4ee3\u66ff 4 \u6c42\u5f97\u524d\u4e00\u4e2a\u7ec4\u5408 {2, 3}\u3002<\/P>
\n


\u3000\u3000\u6570\u636e\u8868\u793a\uff1a\u7528\u5de6\u95ed\u53f3\u5f00\u533a\u95f4\u8868\u793a\uff0c\u5f85\u9009\u5143\u7d20\u7684\u96c6\u5408\u7531\u8f93\u5165\u533a\u95f4 [first,
last) \u8868\u793a\uff0c\u5165\u9009\u7ec4\u5408\u7684\u5143\u7d20\u5728\u533a\u95f4 [first, middle)\uff0c\u5269\u4e0b\u7684\u5143\u7d20\u5728\u533a\u95f4
[middle, last)\u3002<\/P>
\n

\u3000\u25b3\u25b3\u25b3\u25ce\u25ce\u25ce\u25cf
\u3000↑\u3000\u3000↑\u3000\u3000↑
first middle last<\/P>
\n

\u56fe\u4e2d“\u25b3”\u4e3a\u7ec4\u5408\u4e2d\u7684\u5143\u7d20\uff0c“\u25ce”\u4e3a\u5269\u4e0b\u7684\u5143\u7d20\uff0c\u4e0b\u540c\u3002<\/P>
\n

\u3000\u3000\u533a\u95f4 [first, middle) \u4e00\u5b9a\u662f\u5347\u5e8f\u7684\uff1b\u800c [middle, last) \u5219\u7531\u5347\u5e8f\u548c\u964d
\u5e8f\u4e24\u90e8\u5206\u7ec4\u6210\uff0c\u5982\u679c\u6ca1\u6709\u5de6\u8fb9\u7684\u5347\u5e8f\uff0c\u5219\u5168\u90e8\u662f\u964d\u5e8f\uff0c\u76f8\u53cd\uff0c\u6ca1\u6709\u53f3\u8fb9\u7684\u964d\u5e8f\uff0c
\u5219\u5168\u90e8\u662f\u5347\u5e8f\u3002\u800c\u4e14\uff0c[first, middle) \u4e0e [middle, last) \u7684\u5347\u5e8f\u90e8\u5206\u662f\u8fde\u7eed
\u7684\u3002\u5de6\u5347\u53f3\u964d\uff0c\u6240\u4ee5\u5982“\u4eba”\u5b57\u5f62\u3002\u4ee5\u4e0b\u79f0 [first, middle) \u4e3a\u524d\u90e8\uff1b\u79f0
[middle, last) \u4e3a\u540e\u90e8\uff1b\u4e14\u79f0\u540e\u90e8\u4e2d\u7684\u5347\u5e8f\u90e8\u5206\u4e3a\u5347\u90e8\uff0c\u5176\u964d\u5e8f\u90e8\u5206\u4e3a\u964d\u90e8\u3002<\/P>
\n

\u3000\u3000\u3000\u3000\u3000\u3000\u25ce\u3000\u3000\u3000\u3000\u3000\u25ce\u3000\u3000\u3000\u3000\u25b3\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u25ce\u3000\u3000\u3000\u3000\u3000\u25b3\u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u3000\u25ce\u25c6\u3000\u3000\u3000\u3000\u25ce\u25c6\u3000\u3000\u3000\u3000\u25a0\u25ce\u3000\u3000\u3000\u3000\u3000\u25b3\u25c6\u3000\u3000\u3000\u3000\u25b3\u25a0\u3000\u3000\u3000
\u3000\u3000\u3000\u3000\u25ce\u25c6\u25c6\u3000\u3000\u3000\u25b3\u25c6\u25c6\u3000\u3000\u3000\u3000\u25a0\u25c6\u25ce\u3000\u3000\u3000\u25b3\u25a0\u25c6\u3000\u3000\u3000\u25b3\u25a0\u25a0\u3000\u3000\u3000
\u3000\u3000\u3000\u25b3\u25c6\u25c6\u25c6\u3000\u3000\u3000\u25a0\u25c6\u25c6\u25ce\u3000\u3000\u3000\u25a0\u25c6\u25c6\u25ce\u3000\u3000\u25a0\u25a0\u25c6\u25ce\u3000\u3000\u25a0\u25a0\u25a0\u25ce\u3000\u3000
\u3000\u3000\u25b3\u25a0\u25c6\u25c6\u25c6\u3000\u3000\u25b3\u25a0\u25c6\u25c6\u25c6\u3000\u3000\u25b3\u25a0\u25c6\u25c6\u25c6\u3000\u25b3\u25a0\u25a0\u25c6\u25c6\u3000\u3000\u25a0\u25a0\u25a0\u25c6\u25ce\u3000
\u3000\u25b3\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25b3\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25b3\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25ce\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25ce
\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6
\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6\u3000\u25a0\u25a0\u25a0\u25c6\u25c6\u25c6
\u3000\u3000\u3000\u3000↑↑↑\u3000\u3000\u3000\u3000↑↑↓\u3000\u3000\u3000\u3000↓↓↓\u3000\u3000\u3000\u3000↑↓↓\u3000\u3000\u3000\u3000↓↓↓
\u3000\u3000\u3000\uff41\u3000\u3000\uff45\u3000\u3000\u3000\uff42\u3000\uff45\u3000\u3000\u3000\u3000\uff42\uff45\u3000\u3000\u3000\u3000\u3000\uff42\uff45\u3000\u3000\u3000\u3000\u3000\uff42\uff45\u3000\u3000<\/P>
\n

\u56fe\u4e2d“↑”\u8868\u793a\u5143\u7d20\u5c5e\u4e8e\u5347\u90e8\uff0c“↓”\u5219\u5c5e\u4e8e\u964d\u90e8\u3002<\/P>
\n

\u3000\u3000\u4ee4\u524d\u90e8\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u662f b\uff0c\u5219\u6240\u6709\u5347\u90e8\u7684\u5143\u7d20\u90fd\u662f\u4e0d\u5c0f\u4e8e *b \u7684\uff0c\u800c\u6240\u6709
\u5c5e\u4e8e\u964d\u90e8\u7684\u5143\u7d20\u90fd\u662f\u5c0f\u4e8e *b \u7684\u3002<\/P>
\n

\u3000\u3000\u6309\u7167\u8fd9\u4e2a\u7279\u70b9\uff0c\u53ef\u4ee5\u5199\u51fa\u89c4\u8303\u5316\u7684\u51fd\u6570 adjust_combination()\uff1a\u5148\u5c06\u524d\u90e8
\u548c\u540e\u90e8\u7684\u5143\u7d20\u5206\u522b\u6392\u5e8f\uff0c\u7136\u540e\u4ee5\u540e\u9762\u7684\u5143\u7d20\u4ee5 *b \u4e3a“\u8f74”\u5bf9\u6298\uff0c\u5373\u53ef\u3002\u4ee3\u7801\u5927
\u81f4\u5982\u4e0b\uff1a<\/P>
\n

  \/\/ \u89c4\u8303\u5316
  adjust_combination (first, middle, last)
  {
    sort_combination (first, middle);
    sort_combination (middle, last);<\/P>
\n

    j = lower_bound (middle, last, *b);
    \/* \u6b64\u65f6 [middle, j) \u4e3a\u964d\u90e8\u7684\u5143\u7d20\uff0c\u800c [j, last) \u4e3a\u5347\u90e8\u7684\u5143\u7d20
     *\/<\/P>
\n

    reverse (j, last);  \/\/ \u628a [j, last) \u53cd\u8f6c
    reverse (middle, last); \/\/ \u518d\u628a [middle, last) \u53cd\u8f6c
    \/* \u5347\u90e8\u8fd8\u662f\u5347\u5e8f\uff0c\u8c03\u5230\u5de6\u8fb9\uff1b
     * \u964d\u90e8\u5df2\u7ecf\u662f\u964d\u5e8f\uff0c\u8c03\u5230\u53f3\u8fb9\u4e86\u3002
     *\/
  }<\/P>
\n

\u3000\u3000\u8fd9\u4e2a\u7b97\u6cd5\u4e2d\u6709\u4e24\u4e2a STL \u7684\u51fd\u6570\uff08\u7b97\u6cd5\uff09\uff0c\u5728\u5b9e\u73b0\u4e2d\u662f\u5927\u91cf\u4f7f\u7528\u4e86\u7684\u3002\u8fd9\u6837
\u7684\u51fd\u6570\u5927\u6982\u6709\u5982\u4e0b\u51e0\u4e2a\uff1a<\/P>
\n

iter_swap (i, j)\uff1a\u4ea4\u6362\u4e24\u4e2a\u8fed\u4ee3\u5668\u6307\u5411\u7684\u7a7a\u95f4 *i \u548c *j\uff1b<\/P>
\n

reverse (f, l)\uff1a\u53cd\u8f6c\uff0c\u628a [f, l) \u91cc\u7684\u5143\u7d20\u524d\u540e\u5bf9\u8c03\uff1b<\/P>
\n

inplace_merge (f, m, l)\uff1a\u5408\u5e76\uff0c\u628a\u4e24\u4e2a\u6709\u5e8f\u533a\u95f4 [f, m) \u548c [m, l) \u5408\u5e76\u6210
\u6709\u5e8f\u533a\u95f4 [f, l)\uff1b<\/P>
\n

lower_bound (f, l, v)\uff1a\u5728\u6709\u5e8f\u533a\u95f4 [f, l) \u91cc\u627e\u51fa\u7b2c\u4e00\u4e2a\u4e0d\u5c0f\u4e8e v \u7684\u4f4d\u7f6e\uff1b<\/P>
\n

upper_bound (f, l, v)\uff1a\u5728\u6709\u5e8f\u533a\u95f4 [f, l) \u91cc\u627e\u51fa\u7b2c\u4e00\u4e2a\u5927\u4e8e v \u7684\u4f4d\u7f6e\u3002<\/P>
\n

\u3000\u3000\u9664\u4e86\u4e0a\u9762\u8fd9\u4e9b STL \u7684\u51fd\u6570\uff0c\u8fd8\u6709\u4e00\u4e2a sort_combination() \u7528\u6765\u6392\u5e8f\u7684\uff0c
\u5176\u5b9e\u73b0\u4ee5 inplace_merge() \u4e3a\u8f85\u52a9\uff0c\u4f7f\u7528\u5f52\u5e76\u6392\u5e8f\u3002<\/P>
\n

\u3000\u3000\u4f9d\u7167\u540e\u90e8\u4e2d\u5143\u7d20\u4e0e *b \u7684\u5927\u5c0f\u5173\u7cfb\uff0c\u53ef\u4ee5\u8fd9\u6837\u533a\u5206\u540e\u90e8\u4e2d\u7684\u5347\u90e8\u4e0e\u964d\u90e8\uff1a\u4ee4
[middle, last) \u4e2d\u6700\u5927\u7684\u5143\u7d20\u4e3a e\uff0ce \u540e\u7b2c\u4e00\u4e2a\u5c0f\u4e8e\u7684\u5143\u7d20\u4e3a f\uff08\u82e5\u65e0\uff0c\u5219\u4ee4
f = last\uff09\u3002\u5219\u82e5 *e >= *b\uff0c\u4e00\u5b9a\u6709 [middle, f) \u662f\u5347\u90e8\uff0c[f, last) \u4e3a\u964d\u90e8\uff1b
\u76f8\u53cd\u82e5 *e < *b\uff0c\u4e00\u5b9a\u6709 e == middle \u4e14 [middle, last) \u4e3a\u964d\u90e8\u3002<\/P>
\n


\u3000\u3000\u4e0b\u9762\u4ee5“\u65e0\u91cd\u590d\u5143\u7d20\uff0c\u7ec4\u5408\u4ece\u5c0f\u5230\u5927”\u7684\u6761\u4ef6\u6765\u5206\u6790\u3002<\/P>
\n

\u3000\u3000\u5148\u8003\u5bdf\u4e00\u4e0b\u8fd9\u6837\u7684\u7a0b\u5e8f\uff0c{1, 2, 3, 4, 5, 6} \u9009\u4e09\uff1a<\/P>
\n

  for (a = 1; a <= 6-2; a++)
    for (b = a + 1; b <= 6-1; b++)
      for (c = c + 1; c <= 6; c++)
        out (a, b, c);<\/P>
\n

\u3000\u3000\u8fd9\u4e2a\u7a0b\u5e8f\u5c31\u662f“\u4ece\u5c0f\u5230\u5927”\u7684\uff0c\u5176\u4e2d\u7684 c \u5bf9\u5e94\u524d\u90e8\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\uff0c\u603b\u4f53
{a, b, c} \u5bf9\u5e94\u524d\u90e8\u3002\u5982\u679c c \u7684\u503c\u4e0d\u662f\u6700\u5927\u7684\uff0c\u5219\u627e\u51fa c \u7684\u4e0b\u4e00\u4e2a\u66f4\u5927\u7684\u503c\u4ee3
\u66ff c\u3002\u5982\u679c c \u5df2\u7ecf\u662f\u6700\u5927\u7684\u503c\uff0c\u5219\u8ba9 b \u7684\u503c\u53d8\u5927\uff1b\u5982\u679c b \u4e5f\u5230\u4e86\u6700\u5927\u7684\u503c\uff0c
\u5c31\u8ba9 a \u7684\u503c\u53d8\u5927\u3002\u5982\u679c a \u4e0d\u80fd\u518d\u5927\uff0c\u5219\u7ed3\u675f\u3002\u5f53\u7136\uff0ca \u5b9e\u9645\u6700\u5927\u503c\u4e5f\u5c31\u662f 4\uff0c
b \u662f 5\u3002\u5982\u679c\u662f a \u6216 b \u7684\u503c\u53d8\u4e86\uff0c\u90a3\u4e48\u5176\u540e\u7684\u5143\u7d20\u7684\u503c\u4e5f\u8981\u4e00\u8d77\u6539\u53d8\uff0c\u5c31\u5982\u7ec4
\u5408 {1, 4} \u53d8\u6210 {2, 3}\u3002<\/P>
\n


\u3000\u3000\u4ece\u4e0a\u9762\u53ef\u4ee5\u770b\u51fa\uff0c\u6700\u91cd\u8981\u7684\u4e8b\u60c5\u662f\uff0c\u4ece\u5f53\u524d\u7ec4\u5408\u91cc\u9009\u51fa\u8981\u88ab\u66ff\u6362\u7684\u5143\u7d20\uff0c\u4ece
\u5269\u4e0b\u7684\u5143\u7d20\u91cc\u9009\u51fa\u7528\u6765\u66ff\u6362\u7684\u5143\u7d20\uff0c\u7136\u540e\u5c31\u4ea4\u6362\u3001\u8c03\u6574\u4e00\u4e0b\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5c31\u662f\u8981
\u4ece\u524d\u90e8\u91cc\u627e\u51fa\u6700\u5927\u7684\u53ef\u4ee5\u53d8\u5927\u7684\u5143\u7d20\uff0c\u5e76\u53d8\u5927\u3002\u8fd9\u4e2a\u7b97\u6cd5\u91cc\u5b89\u6392\u8fd9\u6837\u7684\u4eba\u5b57\u5f62\u7ed3
\u6784\uff0c\u5c31\u662f\u4e3a\u4e86\u4fbf\u4e8e\u627e\u51fa\u4e24\u4e2a\u5173\u952e\u7684\u5143\u7d20\u3002<\/P>
\n

\u3000\u3000\u5982\u679c\u5b58\u5728\u5347\u90e8\uff08*b < *e\uff0c\u6216\u662f *b < *middle\uff09\uff0c\u5219\u8868\u793a\u540e\u9762\u6709\u6bd4 *b \u66f4\u5927
\u7684\u5143\u7d20\uff0c\u6240\u4ee5\u9009\u53d6\u5347\u90e8\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20 *middle \u4e0e *b \u4ea4\u6362\u3002\u52a0\u4e0a\u8c03\u6574\u7684\u8bdd\uff0c\u53ef
\u4ee5\u7528“\u5192\u6ce1”\u6cd5\u628a *b \u5f80\u540e\u79fb\u3002<\/P>
\n

  \/\/ \u5b58\u5728\u5347\u90e8\uff0c\u66ff\u6362\u6389 *b
  if (*b < *e)
    {
      j = b;
      i = j++;
      while ((j != last) && (*i < *j))
        iter_swap (i++, j++);
    }<\/P>
\n

\u3000\u3000\u5982\u679c\u53ea\u6709\u964d\u90e8\uff0c\u90a3\u4e48\u6709\u4e24\u79cd\u60c5\u51b5\uff1a\u4e00\u662f *first > *e\uff0c\u7ec4\u5408\u5df2\u7ecf\u662f\u6700\u5927\u7684\u4e86\uff1b
\u53e6\u5916\u5c31\u4e0d\u662f\u6700\u5927\u7684\u7ec4\u5408\u4e86\uff0c\u53ef\u4ee5\u6c42\u4e0b\u4e00\u4e2a\u66f4\u5927\u7684\u3002\u524d\u9762\u4e00\u79cd\u60c5\u51b5\u5f88\u7b80\u5355\uff0c\u8c03\u6574\u5230
\u6700\u5c0f\u7684\u7ec4\u5408\u5373\u53ef\u3002\u540e\u4e00\u79cd\u60c5\u51b5\uff0c\u5219\u8981\u6c42\u51fa\u524d\u90e8\u4e2d\u8981\u66ff\u6362\u6389\u7684\u5143\u7d20\u548c\u964d\u90e8\u4e2d\u8981\u9009\u51fa
\u7684\u5143\u7d20\u3002<\/P>
\n

  \/\/ \u53ea\u6709\u964d\u90e8\uff0c\u4e14\u5df2\u7ecf\u662f\u6700\u5927\u7684\u7ec4\u5408
  if (*e < *first)
    {
      reverse (first, middle);
      reverse (first, last);
    }<\/P>
\n

\u3000\u3000\uff08\u540e\u4e00\u79cd\u60c5\u51b5\uff09\u524d\u90e8\u4e2d\u8981\u66ff\u6362\u6389\u7684\u5143\u7d20 *i \u53ef\u4ee5\u7531 *middle \u6c42\u51fa\uff0c\u4e5f\u5c31\u662f
\u524d\u90e8\u91cc\u5c0f\u4e8e *middle \u7684\u6700\u5927\u7684\u5143\u7d20\u3002\u6c42\u51fa\u4e86\u8981\u88ab\u66ff\u6362\u7684\u5143\u7d20 *i\uff0c\u7136\u540e\u5c31\u53ef\u4ee5\u6c42
\u51fa\u7528\u6765\u66ff\u6362\u7684\u5143\u7d20 *j \u4e86\uff1a\u4e5f\u5c31\u662f\u964d\u533a\u91cc\u5927\u4e8e *i \u7684\u6700\u5c0f\u7684\u5143\u7d20\u3002\u9664\u4e86\u4ea4\u6362 *i
\u548c *j\uff0c\u8fd8\u8981\u628a i \u5230 j \u4e4b\u95f4\u7684\u5143\u7d20\u8c03\u6574\u597d\u3002\u8fd9\u91cc\u5148\u540e\u4e24\u6b21\u5f88\u6709\u610f\u601d\uff0c\u524d\u9762\u4e00\u6b21
\u662f\u5c0f\u4e8e\u91cc\u7684\u6700\u5927\u7684\uff0c\u540e\u9762\u4e00\u6b21\u662f\u5927\u4e8e\u91cc\u7684\u6700\u5c0f\u7684\u3002<\/P>
\n

    \/\/ \u53ea\u7684\u964d\u90e8\u65f6\uff0c\u6c42\u4e0b\u4e00\u4e2a\u66f4\u5927\u7684\u7ec4\u5408
    \/\/ \u8981\u88ab\u66ff\u6362\u7684\u5143\u7d20\uff1a
    i = b;
    while (!(*–i < *middle))
      ;
    \/\/ \u7528\u6765\u66ff\u6362\u7684\u5143\u7d20\uff1a
    j = last;
    while (!(*i < *–j))
      ;<\/P>
\n

    \/\/ \u4ea4\u6362
    iter_swap (i, j);<\/P>
\n

    \/\/ \u8c03\u6574 i \u81f3 j \u7684\u5143\u7d20
    reverse (++i, middle);  \/\/ \u6700\u5927\u7684\u5143\u7d20\u5728\u524d
    reverse (i, j);         \/\/ \u73b0\u5728\u6700\u5c0f\u7684\u5143\u7d20\u5728\u524d\u4e86<\/P>
\n

\u3000\u3000\u524d\u9762\u6240\u8bf4\u7684\uff0c\u5c31\u662f\u5f53“\u6ca1\u6709\u91cd\u590d\u5143\u7d20\uff0c\u4e14\u4ece\u5c0f\u5230\u5927”\u65f6\u7684\u7b97\u6cd5\u3002\u53ef\u4ee5\u533a\u5206\u6210
\u4e09\u79cd\u60c5\u51b5\uff1a\u4e00\u662f\u5b58\u5728\u5347\u90e8\uff1b\u4e8c\u662f\u6070\u597d\u6700\u5927\uff1b\u4e09\u662f\u4ece\u964d\u90e8\u91cc\u9009\u51fa\u5143\u7d20\u3002\u8fd9\u6837\u4e00\u4e2a\u5904
\u7406\u65e0\u91cd\u590d\u5143\u7d20\u7684 next_combination \u5c31\u51fa\u6765\u4e86\uff0c\u4e5f\u53ef\u4ee5\u547d\u540d\u6210
next_combination_unique()\u3002<\/P>
\n


\u3000\u3000\u5982\u679c\u6709\u91cd\u590d\u5143\u7d20\uff0c\u90a3\u4e48\u5c31\u8981\u591a\u4e0a“\u7b49\u4e8e”\u6bd4\u8f83\uff0c\u4e0a\u9762\u4e09\u79cd\u60c5\u51b5\u5c31\u8981\u505a\u4e9b\u6539\u53d8\u3002
\u8fd9\u91cc\u8fd8\u662f\u53ea\u7528“\u5c0f\u4e8e”\u6bd4\u8f83\uff0c\u7b49\u4e8e\u548c\u5927\u4e8e\u5c31\u90fd\u8981\u4ece\u5c0f\u4e8e\u91cc\u53d8\u5316\u51fa\u6765\u3002\u7b2c\u4e00\u79cd\u60c5\u51b5
\u53ef\u6539\u6210 *b \u5c0f\u4e8e *middle\u3002\u7b2c\u4e8c\u79cd\u60c5\u51b5\u8981\u6539\u4e00\u4e0b\u5224\u65ad\u7684\u6761\u4ef6\uff0c\u6539\u6210 !(*first <
*e)\u3002\u5269\u4e0b\u7684\u60c5\u51b5\uff0c\u5219\u8981\u5206\u4e24\u79cd\uff1a\u4e00\u662f *b < *e\uff0c\u8868\u793a\u5b58\u5728\u5347\u90e8\u4e14\u6709\u6bd4 *b \u5927\u7684
\u5143\u7d20\uff0c\u4ece\u5347\u90e8\u91cc\u627e\u51fa\u6bd4 *b \u5927\u7684\u5143\u7d20\uff0c\u66ff\u6362 *b\uff1b\u53e6\u5916\u5219\u4e0e\u65e0\u91cd\u590d\u5143\u7d20\u65f6\u7684\u7b2c\u4e09
\u79cd\u7c7b\u4f3c\uff0c\u4ece\u524d\u90e8\u91cc\u627e\u51fa\u6700\u5927\u7684\u6bd4 *e \u5c0f\u7684\u5143\u7d20 *i\uff0c\u4ece\u964d\u90e8\u91cc\u627e\u51fa\u6700\u5c0f\u7684\u6bd4 *i
\u5927\u7684\u5143\u7d20 *j\uff0c\u4ea4\u6362 i \u548c j \u5e76\u8c03\u6574\u3002<\/P>
\n

\u3000\u3000\uff08\u6c57\uff01\u5199\u5230\u524d\u9762\uff0c\u53d1\u73b0\u4e00\u4e2a\u601d\u8def\u4e0a\u7684 bug\uff0c\u8fd8\u597d\u4e0d\u4f1a\u51fa\u95ee\u9898\u3002\uff09<\/P>
\n

\u3000\u3000\u603b\u7ed3“\u6709\u91cd\u590d\u5143\u7d20\uff0c\u4ece\u5c0f\u5230\u5927”\u7684\u4ee3\u7801\u5927\u81f4\u5982\u4e0b\uff1a<\/P>
\n

  \/* \u6b64\u4ee3\u7801\u672a\u9a8c\u8bc1\uff0c\u4ee5\u6e90\u4ee3\u7801\u4e3a\u51c6 *\/
  if (*b < *middle)
    {
      j = b;
      i = j++;
      while ((j != last) && (*i < *j))
        iter_swap (i++, j++);
 
      return true;
    }
 
  if (!(*first < *e))
    {
      reverse (first, middle);
      reverse (first, last);
      return false;
    }<\/P>
\n

  if (*b < *e)
    {
      bb = b;
      while ((++b != e) && !(*b < *bb))
        ;
      reverse (bb, f);
      reverse (b, f);
      return true;
    }
  else
    {
      i = b;
      while (!(*–i < *e))
        ;
      j = last;
      while (!(*i < *–j))
        ;
      iter_swap (i, j);
      reverse (++i, middle);
      reverse (i, j);
      return true;
    }<\/P>
\n


\u4e0b\u9762\u8ba8\u8bba\u4ece\u5927\u5230\u5c0f\u7684\u7b97\u6cd5\uff0c\u540c\u6837\uff0c\u5148\u5047\u8bbe\u6ca1\u6709\u76f8\u540c\u7684\u5143\u7d20\u3002\u4ece\u5927\u5230\u5c0f\u7684\u7b97\u6cd5\uff0c
\u7b80\u5355\u5730\u8bf4\u662f\uff0c\u627e\u51fa\u6700\u5927\u7684\u53ef\u4ee5\u53d8\u5c0f\u7684\u5143\u7d20\uff0c\u5e76\u53d8\u5c0f\u3002<\/P>
\n

\u3000\u3000\u5982\u679c\u4e0d\u5b58\u5728\u5347\u90e8\uff08*middle < *b \u6216\u8bf4 *e < *b\uff09\uff0c\u5219 *middle\uff08*e\uff09 \u5c31\u662f
\u8981\u65b0\u9009\u5165\u7684\u5143\u7d20\uff0c\u800c\u8981\u9009\u51fa\u7684\u5143\u7d20\u5c31\u662f\u7b2c\u4e00\u4e2a\u6bd4 *e \u5927\u7684\u5143\u7d20\u3002\u8fd9\u79cd\u60c5\u51b5\u662f\u6700\u7b80
\u5355\u7684\u4e86\u3002<\/P>
\n

  if (*middle < *b)
    {
      i = upper_bound (first, middle, *middle);
      iter_swap (i, middle);
    }<\/P>
\n

\u3000\u3000\u5982\u679c\u5b58\u5728\u5347\u90e8\uff08*b < *middle\uff09\uff0c\u4e5f\u5206\u4e24\u79cd\u60c5\u51b5\uff1b\u4e00\u662f f == last\uff0c\u8868\u793a\u53ea
\u6709\u5347\u90e8\u800c\u6ca1\u6709\u964d\u90e8\uff0c\u5230\u8fbe\u6700\u5c0f\u7684\u7ec4\u5408\uff1b\u53e6\u4e00\u79cd\uff0c*f \u5c31\u662f\u8981\u65b0\u9009\u5165\u7684\u5143\u7d20\uff0c\u627e\u51fa
\u7b2c\u4e00\u4e2a\u6bd4 *f \u5927\u7684\u5143\u7d20\uff0c\u5373\u4e3a\u8981\u9009\u51fa\u7684\u5143\u7d20\uff08\u5f53\u7136\uff0c\u8981\u9009\u5165\u9009\u51fa\u7684\u5143\u7d20\u53ef\u80fd\u66f4
\u591a\uff09\u3002<\/P>
\n

  \/* \u53ea\u6709\u5347\u90e8\uff0c\u5df2\u7ecf\u662f\u6700\u5c0f\u7684\u7ec4\u5408 *\/
  if (f == last)
    {
      reverse (first, last);
      reverse (first, middle);
    }<\/P>
\n

\u3000\u3000\u7b2c\u4e8c\u79cd\u60c5\u51b5\uff0c\u627e\u51fa\u7b2c\u4e00\u4e2a\u6bd4 *f \u5927\u7684\u5143\u7d20 *i\uff0c\u5219 *i \u5c31\u662f\u8981\u6362\u51fa\u7684\u5143\u7d20\uff0c
\u800c (i, middle) \u5219\u8981\u6362\u6210\u6240\u6709\u6700\u5927\u7684\u5143\u7d20\uff08*b \u5e94\u8be5\u662f\u5168\u90e8\u5143\u7d20\u4e2d\u6700\u5927\u7684\u5143\u7d20\uff0c
\u7136\u540e\u5176\u524d\u4f9d\u6b21\u662f\u6b21\u5c0f\u7684\u5143\u7d20\uff09\u3002<\/P>
\n

  \/* \u6709\u5347\u90e8\u4e5f\u6709\u964d\u90e8\uff0c\u505a\u8f83\u5927\u8c03\u6574 *\/
  i = upper_bound (first, middle, *f);
  iter_swap (i, f);
  reverse (++i, f);
  reverse (i, middle);<\/P>
\n


\u3000\u3000\u5982\u679c\u6709\u91cd\u590d\u5143\u7d20\uff0c\u4ece\u5927\u5230\u5c0f\u8fd9\u79cd\u7b97\u6cd5\u4e3b\u8981\u7684\u6539\u52a8\u662f\u8981\u5224\u65ad\u6362\u51fa\u7684\u4f4d\u7f6e\u662f\u5426\u4e3a
b\uff0c\u8fdb\u884c\u4e0d\u540c\u7684\u5904\u7406\u3002\u4e3b\u8981\u662f\u56e0\u4e3a\u76f8\u540c\u5143\u7d20\u7684\u5b58\u5728\uff0c\u4f7f\u4ea4\u6362\u5143\u7d20\u540e\u7684\u8c03\u6574\u53d8\u5f97\u66f4
\u590d\u6742\u4e00\u4e9b\uff0c\u56e0\u800c\u505a\u76f8\u5e94\u53d8\u5316\u3002<\/P>
\n

  if (*middle < *b)
    {
      i = upper_bound (first, middle, *middle);
      if (i != b)
        iter_swap (i, middle);
      else
        {
   s = middle;
   while ((++s != last) && !(*s < *middle))
     ;
   reverse (b, s);
 }
      return true;
    }<\/P>
\n

  if (f == last)
    {
      reverse (first, last);
      reverse (first, middle);
      return false;
    }<\/P>
\n

  i = upper_bound (first, middle, *f);
  if (i == b)
    {
      s = f;
      while ((++s != last) && !(*s < *f))
        ;
      reverse (b, f);
      reverse (b, s);
    }
  else
    {
      iter_swap (i, f);
      reverse (++i, f);
      reverse (i, middle);
    }
  return true;<\/P>
\n


\u3000\u3000\u81f3\u6b64\uff0c\u7ec4\u5408\u7b97\u6cd5 combination \u5df2\u7ecf\u8bf4\u5b8c\u4e86\uff0c\u4f46\u662f\u5199\u5f97\u6bd4\u8f83\u542b\u7cca\u3002\u5728\u4e0b\u7bc7\u91cc
\u5c06\u7ec6\u8bf4\u4e00\u4e9b\u4e1c\u897f\uff0c\u4f46\u5b8c\u6574\u7684\u7a0b\u5e8f\u5b9e\u73b0\u8fd9\u91cc\u5df2\u7ecf\u6709\u4e86\u3002<\/P>
\n

template
void
sort_combination (BiIterator first, BiIterator last)
{
  if (first == last) \/\/ $(AC;SPT*KX
(B    return;<\/P>
\n

  BiIterator i = first;
  ++i;
  if (i == last)     \/\/ $(AR;8vT*KX
(B    return;
 
  int half = distance (first, last) \/ 2;  \/\/ half of the length
  BiIterator middle = first;
  advance (middle, half);  \/\/ middle += half<\/P>
\n

  sort_combination (first, middle);     \/\/ sort first part
  sort_combination (middle, last);      \/\/ sort second part<\/P>
\n

  inplace_merge (first, middle, last);  \/\/ merge two parts
}<\/P>
\n

template
void
adjust_combination (BiIterator first, BiIterator middle, BiIterator last)
{
  \/\/ the front part or the back part have no elements
  if ((first == middle) || (middle == last))
    return;<\/P>
\n

  sort_combination (first, middle);
  sort_combination (middle, last);<\/P>
\n

  BiIterator b = middle;
  –b;
  BiIterator j = lower_bound (middle, last, *b);
  reverse (j, last);
  reverse (middle, last);
}<\/P>
\n

template
void
init_combination (BiIterator first, BiIterator middle, BiIterator last,
    bool min)
{
  sort_combination (first, last);<\/P>
\n

  if (min == false)
    {
      \/\/ the max combination
      reverse (first, last);
      reverse (first, middle);
    }
}<\/P>
\n

template
bool
next_combination (BiIterator first, BiIterator middle, BiIterator last)
{
  if ((first == middle) || (middle == last))
    return false;<\/P>
\n

  \/\/ last element of [first, middle)
  BiIterator b = middle;
  –b;<\/P>
\n

  if (*b < *middle)
    {
      BiIterator j = b;
      while ((++b != last) && (*j < *b))
 {
   iter_swap (j, b);
   j = b;
 }
      return true;
    }<\/P>
\n

  BiIterator e = last;
  –e;
  while (e != middle)
    {
      BiIterator k = e;
      –k;
      if (!(*k < *e))
 e = k;
      else
 break;
    }
 
  BiIterator f = e;
  ++f;
  while ((f != last) && !(*f < *e))
    ++f;<\/P>
\n

  if (!(*first < *e))
    {
      reverse (first, middle);
      reverse (first, last);
      return false;
    }<\/P>
\n

  if (*b < *e)
    {
      BiIterator bb = b;
      while ((++bb != e) && !(*b < *bb))
 ;
      reverse (bb, f);
      reverse (b, f);
    }
  else
    {
      BiIterator i = b;
      while (!(*–i < *e))
 ;
     
      BiIterator j = last;
      while (!(*i < *–j))
 ;<\/P>
\n

      iter_swap (i, j);
      reverse (++i, middle);
      reverse (i, j);
    }
  return true;
}<\/P>
\n

template
bool
prev_combination (BiIterator first, BiIterator middle, BiIterator last)
{
  if ((first == middle) || (middle == last))
    return false;
 
  BiIterator b = middle;
  –b;
 
  if (*middle < *b)
    {
      BiIterator i = upper_bound (first, middle, *middle);
      if (i != b)
 iter_swap (i, middle);
      else
 {
   BiIterator s = middle;
   while ((++s != last) && !(*s < *middle))
     ;
   reverse (b, s);
 }<\/P>
\n

      return true;
    }
 
  BiIterator e = last;
  –e;
  while (e != middle)
    {
      BiIterator k = e;
      –k;
      if (!(*k < *e))
 e = k;
      else
 break;
    }
 
  BiIterator f = e;
  ++f;
  while ((f != last) && !(*f < *e))
    ++f;<\/P>
\n

  if (\/*!(*e < *b) && *\/(f == last))
    {
      reverse (first, last);
      reverse (first, middle);
      return false;
    }<\/P>
\n

  BiIterator i = upper_bound (first, middle, *f);
  if (i == b)
    {
      BiIterator s = f;
      while ((++s != last) && !(*s < *f))
 ;<\/P>
\n

      reverse (b, f);
      reverse (b, s);
    }
  else
    {
      iter_swap (i, f);
      reverse (++i, f);
      reverse (i, middle);
    }
  return true;
}<\/P>
\n

 <\/P><\/p>\n","protected":false},"excerpt":{"rendered":"

\u7ec4\u5408\u7684\u7b97\u6cd5    \u51fa\u5904\uff1ahttp:\/\/commun … \u7ee7\u7eed\u9605\u8bfb →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,8,1],"tags":[14],"class_list":["post-218","post","type-post","status-publish","format-standard","hentry","category-c","category-8","category-uncategorized","tag-c"],"_links":{"self":[{"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/posts\/218","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/comments?post=218"}],"version-history":[{"count":1,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/posts\/218\/revisions"}],"predecessor-version":[{"id":347,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/posts\/218\/revisions\/347"}],"wp:attachment":[{"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/media?parent=218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/categories?post=218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.fs.cloudns.biz\/index.php\/wp-json\/wp\/v2\/tags?post=218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}