{"id":79,"date":"2026-04-19T14:31:55","date_gmt":"2026-04-19T06:31:55","guid":{"rendered":"https:\/\/www.sjll.top\/index.php\/2026\/04\/19\/%e7%ba%bf%e6%ae%b5%e6%a0%91%e5%85%a5%e9%97%a8%ef%bc%9ajsoi2008-%e6%9c%80%e5%a4%a7%e6%95%b0\/"},"modified":"2026-04-19T14:31:55","modified_gmt":"2026-04-19T06:31:55","slug":"%e7%ba%bf%e6%ae%b5%e6%a0%91%e5%85%a5%e9%97%a8%ef%bc%9ajsoi2008-%e6%9c%80%e5%a4%a7%e6%95%b0","status":"publish","type":"post","link":"https:\/\/www.sjll.top\/?p=79","title":{"rendered":"\u7ebf\u6bb5\u6811\u5165\u95e8\uff1a[JSOI2008] \u6700\u5927\u6570"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\u7ebf\u6bb5\u6811\u5165\u95e8\uff1a[JSOI2008] \u6700\u5927\u6570<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">\u9898\u76ee\u63cf\u8ff0<\/h2>\n\n\n\n<p>\u73b0\u5728\u8bf7\u6c42\u4f60\u7ef4\u62a4\u4e00\u4e2a\u6570\u5217\uff0c\u8981\u6c42\u63d0\u4f9b\u4ee5\u4e0b\u4e24\u79cd\u64cd\u4f5c\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u67e5\u8be2\u64cd\u4f5c<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u8bed\u6cd5<\/strong>\uff1a<code>Q L<\/code><\/li><li><strong>\u529f\u80fd<\/strong>\uff1a\u67e5\u8be2\u5f53\u524d\u6570\u5217\u4e2d\u672b\u5c3e L \u4e2a\u6570\u4e2d\u7684\u6700\u5927\u7684\u6570\uff0c\u5e76\u8f93\u51fa\u8fd9\u4e2a\u6570\u7684\u503c\u3002<\/li><li><strong>\u9650\u5236<\/strong>\uff1aL \u4e0d\u8d85\u8fc7\u5f53\u524d\u6570\u5217\u7684\u957f\u5ea6\uff08L &gt; 0\uff09<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u63d2\u5165\u64cd\u4f5c<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u8bed\u6cd5<\/strong>\uff1a<code>A n<\/code><\/li><li><strong>\u529f\u80fd<\/strong>\uff1a\u5c06 n \u52a0\u4e0a t\uff0c\u5176\u4e2d t \u662f\u6700\u8fd1\u4e00\u6b21\u67e5\u8be2\u64cd\u4f5c\u7684\u7b54\u6848\uff08\u5982\u679c\u8fd8\u672a\u6267\u884c\u8fc7\u67e5\u8be2\u64cd\u4f5c\uff0c\u5219 t = 0\uff09\uff0c\u5e76\u5c06\u6240\u5f97\u7ed3\u679c\u5bf9\u4e00\u4e2a\u56fa\u5b9a\u7684\u5e38\u6570 D \u53d6\u6a21\uff0c\u5c06\u6240\u5f97\u7b54\u6848\u63d2\u5165\u5230\u6570\u5217\u7684\u672b\u5c3e\u3002<\/li><li><strong>\u9650\u5236<\/strong>\uff1an \u662f\u6574\u6570\uff08\u53ef\u80fd\u4e3a\u8d1f\u6570\uff09\u5e76\u4e14\u5728\u957f\u6574\u8303\u56f4\u5185\u3002<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u6ce8\u610f\u4e8b\u9879<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>\u521d\u59cb\u65f6\u6570\u5217\u662f\u7a7a\u7684\uff0c\u6ca1\u6709\u4e00\u4e2a\u6570\u3002<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u57fa\u672c\u6982\u5ff5\uff1a\u4ec0\u4e48\u662f\u7ebf\u6bb5\u6811\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ebf\u6bb5\u6811\u7b80\u4ecb<\/h3>\n\n\n\n<p><strong>\u7ebf\u6bb5\u6811\uff08Segment Tree\uff09<\/strong> \u662f\u4e00\u79cd\u4e8c\u53c9\u6811\u7ed3\u6784\uff0c\u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u533a\u95f4\uff0c\u7528\u4e8e\u9ad8\u6548\u5730\u7ef4\u62a4\u548c\u67e5\u8be2\u533a\u95f4\u4fe1\u606f\u3002\u5b83\u662f\u4e00\u79cd<strong>\u533a\u95f4\u67e5\u8be2\u4e0e\u4fee\u6539<\/strong>\u7684\u7ecf\u5178\u6570\u636e\u7ed3\u6784\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6838\u5fc3\u7279\u70b9<\/h3>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>\u5b8c\u5168\u4e8c\u53c9\u6811<\/strong>\uff1a\u7ebf\u6bb5\u6811\u662f\u4e00\u68f5\u5b8c\u5168\u4e8c\u53c9\u6811<\/li><li><strong>\u533a\u95f4\u8868\u793a<\/strong>\uff1a\u6bcf\u4e2a\u8282\u70b9\u5b58\u50a8\u4e00\u4e2a\u533a\u95f4\u7684\u4fe1\u606f<\/li><li><strong>\u9ad8\u6548\u64cd\u4f5c<\/strong>\uff1a<\/li><\/ol>\n\n\n\n<ul class=\"wp-block-list\"><li>\u5355\u70b9\u4fee\u6539\uff1aO(log n)<\/li><li>\u533a\u95f4\u67e5\u8be2\uff1aO(log n)<\/li><li>\u533a\u95f4\u4fee\u6539\uff1aO(log n)<\/li><\/ul>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>\u7a7a\u95f4\u590d\u6742\u5ea6<\/strong>\uff1aO(n)<\/li><\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ebf\u6bb5\u6811\u7684\u6784\u5efa<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>\u533a\u95f4 [1, 8]\n\u251c\u2500\u2500 [1, 4]\n\u2502   \u251c\u2500\u2500 [1, 2]\n\u2502   \u2502   \u251c\u2500\u2500 [1, 1]\n\u2502   \u2502   \u2514\u2500\u2500 [2, 2]\n\u2502   \u2514\u2500\u2500 [3, 4]\n\u2502       \u251c\u2500\u2500 [3, 3]\n\u2502       \u2514\u2500\u2500 [4, 4]\n\u2514\u2500\u2500 [5, 8]\n    \u251c\u2500\u2500 [5, 6]\n    \u2502   \u251c\u2500\u2500 [5, 5]\n    \u2502   \u2514\u2500\u2500 [6, 6]\n    \u2514\u2500\u2500 [7, 8]\n        \u251c\u2500\u2500 [7, 7]\n        \u2514\u2500\u2500 [8, 8]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u9898\u601d\u8def<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u9898\u76ee\u5206\u6790<\/h3>\n\n\n\n<p>\u8981\u6c42\u7ef4\u62a4\u4e00\u4e2a\u521d\u59cb\u4e3a\u7a7a\u7684\u6570\u5217\uff0c\u652f\u6301\u4e24\u79cd\u64cd\u4f5c\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>\u67e5\u8be2\u64cd\u4f5c Q L<\/strong>\uff1a\u67e5\u8be2\u5f53\u524d\u6570\u5217\u4e2d\u6700\u540e L \u4e2a\u6570\u7684\u6700\u5927\u503c<\/li><li><strong>\u63d2\u5165\u64cd\u4f5c A n<\/strong>\uff1a\u5c06 (n + t) % d \u63d2\u5165\u5230\u6570\u5217\u672b\u5c3e\uff0c\u5176\u4e2d t \u662f\u4e0a\u4e00\u6b21\u67e5\u8be2\u7684\u7ed3\u679c\uff08\u521d\u59cb\u4e3a 0\uff09\uff0cd \u662f\u7ed9\u5b9a\u7684\u6a21\u6570<\/li><\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u5173\u952e\u95ee\u9898<\/h3>\n\n\n\n<p>\u7531\u4e8e\u64cd\u4f5c\u6b21\u6570 M \u6700\u591a\u4e3a 200,000\uff0c\u6bcf\u6b21\u67e5\u8be2\u5982\u679c\u904d\u5386\u6700\u540e L \u4e2a\u6570\u4f1a\u8d85\u65f6\uff08O(M)\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u89e3\u51b3\u65b9\u6848<\/h3>\n\n\n\n<p>\u4f7f\u7528<strong>\u7ebf\u6bb5\u6811<\/strong>\u5b9e\u73b0 O(log M) \u65f6\u95f4\u7684\u533a\u95f4\u6700\u5927\u503c\u67e5\u8be2\u548c\u5355\u70b9\u4fee\u6539\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u6838\u5fc3\u5b9e\u73b0<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u6570\u636e\u7ed3\u6784\u8bbe\u8ba1<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">struct Node {\n    int l, r;  \/\/ \u533a\u95f4\u7684\u5de6\u53f3\u8fb9\u754c\n    int v;     \/\/ \u8be5\u533a\u95f4\u7684\u6700\u5927\u503c\n} tr[N * 4];  \/\/ \u7ebf\u6bb5\u6811\u9700\u8981\u5f00 4 \u500d\u7a7a\u95f4<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u521d\u59cb\u5316<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">void build(int u, int l, int r) {\n    tr[u].l = l, tr[u].r = r;\n    if (l == r) {\n        tr[u].v = INT_MIN;  \/\/ \u521d\u59cb\u5316\u4e3a\u4e00\u4e2a\u975e\u5e38\u5c0f\u7684\u6570\n        return;\n    }\n\n    int mid = (l + r) &gt;&gt; 1;\n    build(u &lt;&lt; 1, l, mid);      \/\/ \u9012\u5f52\u6784\u5efa\u5de6\u5b50\u6811\n    build(u &lt;&lt; 1 | 1, mid + 1, r); \/\/ \u9012\u5f52\u6784\u5efa\u53f3\u5b50\u6811\n}<\/code><\/pre>\n\n\n\n<p><strong>\u91cd\u8981\u7ec6\u8282<\/strong>\uff1a\u5c06\u6240\u6709\u8282\u70b9\u521d\u59cb\u5316\u4e3a <code>INT_MIN<\/code>\uff0c\u56e0\u4e3a\u67e5\u8be2\u7684\u533a\u95f4\u53ef\u80fd\u5305\u542b\u5c1a\u672a\u63d2\u5165\u6570\u7684\u4f4d\u7f6e\uff0c\u5982\u679c\u4e0d\u521d\u59cb\u5316\u4e3a\u6781\u5c0f\u503c\uff0c\u8fd9\u4e9b\u4f4d\u7f6e\u7684\u9ed8\u8ba4\u503c 0 \u53ef\u80fd\u4f1a\u5f71\u54cd\u8d1f\u6570\u60c5\u51b5\u4e0b\u7684\u67e5\u8be2\u7ed3\u679c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u5355\u70b9\u4fee\u6539<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">void update(int u, int x, int v) {\n    if (tr[u].l == x &amp;&amp; tr[u].r == x) {  \/\/ \u5982\u679c\u5f53\u524d\u8282\u70b9\u662f\u53f6\u5b50\u8282\u70b9\n        tr[u].v = v;  \/\/ \u76f4\u63a5\u4fee\u6539\n        return;\n    }\n\n    int mid = (tr[u].l + tr[u].r) &gt;&gt; 1;\n    if (x &lt;= mid)\n        update(u &lt;&lt; 1, x, v);      \/\/ \u76ee\u6807\u5728\u5de6\u5b50\u6811\n    else\n        update(u &lt;&lt; 1 | 1, x, v);  \/\/ \u76ee\u6807\u5728\u53f3\u5b50\u6811\n\n    pushup(u);  \/\/ \u5b50\u8282\u70b9\u66f4\u65b0\u7236\u8282\u70b9\u7684\u6700\u5927\u503c\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u533a\u95f4\u67e5\u8be2<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">int query(int u, int l, int r) {\n    \/\/ \u5982\u679c\u5f53\u524d\u533a\u95f4\u5b8c\u5168\u5305\u542b\u5728\u67e5\u8be2\u533a\u95f4\u5185\uff0c\u76f4\u63a5\u8fd4\u56de\u8be5\u8282\u70b9\u7684\u6700\u5927\u503c\n    if (l &lt;= tr[u].l &amp;&amp; tr[u].r &lt;= r)\n        return tr[u].v;\n\n    int mid = (tr[u].l + tr[u].r) &gt;&gt; 1;\n    int res = INT_MIN;  \/\/ \u6709\u53ef\u80fd\u662f\u8d1f\u6570\n    if (l &lt;= mid)\n        res = max(res, query(u &lt;&lt; 1, l, r));  \/\/ \u5de6\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n    if (r &gt; mid)\n        res = max(res, query(u &lt;&lt; 1 | 1, l, r));  \/\/ \u53f3\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n\n    return res;\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u5411\u4e0a\u66f4\u65b0<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">void pushup(int u) {\n    tr[u].v = max(tr[u &lt;&lt; 1].v, tr[u &lt;&lt; 1 | 1].v);  \/\/ \u5de6\u53f3\u5b50\u8282\u70b9\u7684\u6700\u5927\u503c\u66f4\u65b0\u7236\u8282\u70b9\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u5b8c\u6574\u4ee3\u7801\u5b9e\u73b0<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ed3\u6784\u4f53\u7248<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">#include &lt;iostream&gt;\n#include &lt;cstdio&gt;\n#include &lt;climits&gt;\nusing namespace std;\ntypedef long long LL;  \/\/ x + a \u53ef\u80fd\u662f LL\nconst int N = 2e5 + 10;  \/\/ \u6700\u591a\u64cd\u4f5c\u6b21\u6570\u4e5f\u662f\u7ebf\u6bb5\u6811\u7684\u6700\u5927\u957f\u5ea6\n\nstruct Node {  \/\/ \u7ebf\u6bb5\u6811\u8282\u70b9\u7ed3\u6784\u4f53\n    int l, r;  \/\/ \u8282\u70b9\u6240\u4ee3\u8868\u7684\u533a\u95f4 [l, r]\n    int v;     \/\/ \u8be5\u533a\u95f4\u7684\u6700\u5927\u503c\n} tr[N * 4];  \/\/ \u7ebf\u6bb5\u6811\u9700\u8981\u5f00 4 \u500d\u7a7a\u95f4\n\nint M;  \/\/ \u64cd\u4f5c\u6b21\u6570 M\nint D;  \/\/ \u6a21\u6570 D\n\nvoid pushup(int u) {  \/\/ \u5411\u4e0a\u66f4\u65b0\n    tr[u].v = max(tr[u &lt;&lt; 1].v, tr[u &lt;&lt; 1 | 1].v);  \/\/ \u5de6\u53f3\u5b50\u8282\u70b9\u7684\u6700\u5927\u503c\u66f4\u65b0\u7236\u8282\u70b9\n}\n\nvoid build(int u, int l, int r) {  \/\/ \u9884\u5148\u6784\u5efa\u8986\u76d6[1, M]\u7684\u7ebf\u6bb5\u6811\n    tr[u].l = l, tr[u].r = r;\n    if (l == r) {\n        tr[u].v = INT_MIN;  \/\/ \u521d\u59cb\u5316\u4e3a\u4e00\u4e2a\u975e\u5e38\u5c0f\u7684\u6570\n        return;\n    }\n\n    int mid = (l + r) &gt;&gt; 1;\n    build(u &lt;&lt; 1, l, mid);      \/\/ \u9012\u5f52\u6784\u5efa\u5de6\u5b50\u6811\n    build(u &lt;&lt; 1 | 1, mid + 1, r);  \/\/ \u9012\u5f52\u6784\u5efa\u53f3\u5b50\u6811\n}\n\n\/\/ \u5355\u70b9\u4fee\u6539\uff1a\u5c06\u4f4d\u7f6e x \u7684\u503c\u4fee\u6539\u4e3a v\nvoid update(int u, int x, int v) {\n    if (tr[u].l == x &amp;&amp; tr[u].r == x) {  \/\/ \u5982\u679c\u5f53\u524d\u8282\u70b9\u662f\u53f6\u5b50\u8282\u70b9\n        tr[u].v = v;  \/\/ \u76f4\u63a5\u4fee\u6539\n        return;\n    }\n    int mid = (tr[u].l + tr[u].r) &gt;&gt; 1;\n    if (x &lt;= mid)\n        update(u &lt;&lt; 1, x, v);  \/\/ \u76ee\u6807\u5728\u5de6\u5b50\u6811\n    else\n        update(u &lt;&lt; 1 | 1, x, v);  \/\/ \u76ee\u6807\u5728\u53f3\u5b50\u6811\n\n    pushup(u);  \/\/ \u5b50\u8282\u70b9\u66f4\u65b0\u7236\u8282\u70b9\u7684\u6700\u5927\u503c\n}\n\n\/\/ \u533a\u95f4\u67e5\u8be2\uff1a\u67e5\u8be2\u533a\u95f4 [l, r] \u7684\u6700\u5927\u503c\nint query(int u, int l, int r) {\n    \/\/ \u5982\u679c\u5f53\u524d\u533a\u95f4\u5b8c\u5168\u5305\u542b\u5728\u67e5\u8be2\u533a\u95f4\u5185\uff0c\u76f4\u63a5\u8fd4\u56de\u8be5\u8282\u70b9\u7684\u6700\u5927\u503c\n    if (l &lt;= tr[u].l &amp;&amp; tr[u].r &lt;= r)\n        return tr[u].v;\n\n    int mid = (tr[u].l + tr[u].r) &gt;&gt; 1;\n    int res = INT_MIN;  \/\/ \u6709\u53ef\u80fd\u662f\u8d1f\u6570\n    if (l &lt;= mid)\n        res = max(res, query(u &lt;&lt; 1, l, r));  \/\/ \u5de6\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n    if (r &gt; mid)\n        res = max(res, query(u &lt;&lt; 1 | 1, l, r));  \/\/ \u53f3\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n\n    return res;\n}\n\nint main() {\n    scanf(\"%d%d\", &amp;M, &amp;D);\n    int n = 0;  \/\/ \u5f53\u524d\u6570\u5217\u7684\u5b9e\u9645\u957f\u5ea6\n    int a = 0;  \/\/ \u4e0a\u4e00\u6b21\u67e5\u8be2\u7684\u7ed3\u679c \u521d\u59cb 0\n\n    build(1, 1, M);  \/\/ \u6784\u5efa\u4e00\u68f5\u5927\u5c0f\u4e3a M \u7684\u7ebf\u6bb5\u6811(\u6700\u591a\u6709 M \u4e2a\u6570)\n\n    while (M--) {  \/\/ M \u6b21\u5904\u7406\n        char op[2];  \/\/ \u64cd\u4f5c\u7c7b\u578b\n        scanf(\"%s\", op);\n        if (op[0] == 'A') {  \/\/ \u63d2\u5165\u64cd\u4f5c\n            LL x;  \/\/ x \u662f\u6574\u6570\uff08\u53ef\u80fd\u4e3a\u8d1f\u6570\uff09\u5e76\u4e14\u5728\u957f\u6574\u8303\u56f4\u5185\n            scanf(\"%lld\", &amp;x);\n            ++n;  \/\/ \u66f4\u65b0\u6570\u5217\u957f\u5ea6\n            int v = (x + a) % D;  \/\/ \u8ba1\u7b97\u8981\u66f4\u65b0\u7684\u503c\n            update(1, n, v);  \/\/ \u5728\u4f4d\u7f6e n \u66f4\u65b0\u4e3a v\n        } else {  \/\/ \u67e5\u8be2\u64cd\u4f5c\n            int L;  \/\/ \u672b\u5c3e L \u4e2a\u6570\n            scanf(\"%d\", &amp;L);\n            a = query(1, n - L + 1, n);  \/\/ \u67e5\u8be2\u672b\u5c3e L \u4e2a\u6570\u4e2d\u7684\u6700\u5927\u7684\u6570\uff1a[n - L + 1, n]\n            printf(\"%d\\n\", a);\n        }\n    }\n\n    return 0;\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u975e\u7ed3\u6784\u4f53\u7248<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"cpp\">#include &lt;iostream&gt;\n#include &lt;cstdio&gt;\n#include &lt;climits&gt;\nusing namespace std;\ntypedef long long LL;\nconst int N = 2e5 + 10;\n\nint tr[N * 4];  \/\/ \u7ebf\u6bb5\u6811\u6570\u7ec4\n\n\/\/ \u5355\u70b9\u66f4\u65b0\uff1a\u5c06 p \u4f4d\u7f6e\u7684\u503c\u66f4\u65b0\u4e3a v\nvoid update(int u, int l, int r, int p, int v) {\n    if (l == r) {\n        tr[u] = v;  \/\/ \u76f4\u63a5\u4fee\u6539\n        return;\n    }\n    int mid = (l + r) &gt;&gt; 1;\n    if (p &lt;= mid)\n        update(u &lt;&lt; 1, l, mid, p, v);  \/\/ \u76ee\u6807\u5728\u5de6\u5b50\u6811\n    else\n        update(u &lt;&lt; 1 | 1, mid + 1, r, p, v);  \/\/ \u76ee\u6807\u5728\u53f3\u5b50\u6811\n    tr[u] = max(tr[u &lt;&lt; 1], tr[u &lt;&lt; 1 | 1]);  \/\/ \u5b50\u8282\u70b9\u66f4\u65b0\u7236\u8282\u70b9\u7684\u6700\u5927\u503c\n}\n\n\/\/ \u533a\u95f4\u67e5\u8be2 [L, R] \u7684\u6700\u5927\u503c\nint query(int u, int l, int r, int L, int R) {\n    if (L &lt;= l &amp;&amp; r &lt;= R)\n        return tr[u];\n\n    int mid = (l + r) &gt;&gt; 1;\n    int v = INT_MIN;  \/\/ \u6709\u53ef\u80fd\u662f\u8d1f\u6570\n    if (L &lt;= mid)\n        v = max(v, query(u &lt;&lt; 1, l, mid, L, R));  \/\/ \u5de6\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n    if (R &gt; mid)\n        v = max(v, query(u &lt;&lt; 1 | 1, mid + 1, r, L, R));  \/\/ \u53f3\u5b50\u6811\u4e0e\u67e5\u8be2\u533a\u95f4\u6709\u91cd\u53e0\n    return v;\n}\n\nint main() {\n    int m, d;\n    scanf(\"%d%d\", &amp;m, &amp;d);\n    fill(tr, tr + N * 4, INT_MIN);  \/\/ \u521d\u59cb\u5316\u7ebf\u6bb5\u6811\u6240\u6709\u8282\u70b9\u4e3a\u6781\u5c0f\u503c\n\n    int a = 0;  \/\/ \u4e0a\u4e00\u6b21\u67e5\u8be2\u7684\u7ed3\u679c\n    int n = 0;  \/\/ \u5f53\u524d\u6570\u5217\u957f\u5ea6\n\n    for (int i = 0; i &lt; m; i++) {  \/\/ \u4e0d\u80fd\u7528 while(m--) m \u4e0d\u80fd\u53d8\u5316\n        char op[2];\n        scanf(\"%s\", op);\n        if (op[0] == 'A') {  \/\/ \u6dfb\u52a0\u64cd\u4f5c\n            LL x;\n            scanf(\"%lld\", &amp;x);\n            n++;\n            int v = (x + a) % d;  \/\/ \u9700\u8981\u53d6\u6a21\n            update(1, 1, m, n, v);  \/\/ \u6700\u591a\u6709 m \u4e2a\u4f4d\u7f6e\n        } else {  \/\/ \u67e5\u8be2\u64cd\u4f5c\n            int L;  \/\/ \u67e5\u8be2\u672b\u5c3e L \u4e2a\u6570\u7684\u6700\u5927\u503c\n            scanf(\"%d\", &amp;L);\n            a = query(1, 1, m, n - L + 1, n);\n            printf(\"%d\\n\", a);\n        }\n    }\n\n    return 0;\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u590d\u6742\u5ea6\u5206\u6790<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u65f6\u95f4\u590d\u6742\u5ea6<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u5efa\u6811<\/strong>\uff1aO(M)<\/li><li><strong>\u5355\u70b9\u4fee\u6539<\/strong>\uff1aO(log M)<\/li><li><strong>\u533a\u95f4\u67e5\u8be2<\/strong>\uff1aO(log M)<\/li><li><strong>\u603b\u590d\u6742\u5ea6<\/strong>\uff1aO(M log M)<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u7a7a\u95f4\u590d\u6742\u5ea6<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u7ebf\u6bb5\u6811\u7a7a\u95f4<\/strong>\uff1aO(M)<\/li><li><strong>\u603b\u7a7a\u95f4<\/strong>\uff1aO(M)<\/li><\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u5173\u952e\u70b9\u603b\u7ed3<\/h2>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>\u6570\u7ec4\u5b58\u50a8<\/strong>\uff1a\u4f7f\u7528\u6570\u7ec4\u5b58\u50a8\u6811\u7ed3\u6784\uff08\u975e\u7ed3\u6784\u4f53\uff09<\/li><li><strong>\u52a8\u6001\u63d2\u5165<\/strong>\uff1a\u6bcf\u6b21\u63d2\u5165\u65f6\uff0cn \u589e\u52a0 1\uff0c\u8c03\u7528\u5355\u70b9\u66f4\u65b0<\/li><li><strong>\u533a\u95f4\u67e5\u8be2<\/strong>\uff1a\u67e5\u8be2\u533a\u95f4 [n &#8211; L + 1, n] \u7684\u6700\u5927\u503c<\/li><li><strong>\u53d6\u6a21\u8fd0\u7b97<\/strong>\uff1a\u63d2\u5165\u7684\u503c\u662f (x + a) % d\uff0c\u5176\u4e2d x \u662f\u8f93\u5165\u7684\u6570<\/li><li><strong>\u521d\u59cb\u5316<\/strong>\uff1a\u7ebf\u6bb5\u6811\u4e00\u5f00\u59cb\u5168\u90e8\u8bbe\u6210\u6781\u5c0f\u503c\uff0c\u8fd9\u6837\u6ca1\u63d2\u5165\u7684\u4f4d\u7f6e\u4e0d\u4f1a\u5f71\u54cd\u67e5\u8be2<\/li><\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u53c2\u8003\u94fe\u63a5<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.luogu.com.cn\/problem\/P1198\">JSOI2008 \u6700\u5927\u6570 &#8211; \u6d1b\u8c37<\/a><\/li><li><a href=\"https:\/\/zh.wikipedia.org\/wiki\/\u7ebf\u6bb5\u6811\">\u7ebf\u6bb5\u6811 &#8211; \u7ef4\u57fa\u767e\u79d1<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u7ebf\u6bb5\u6811\u5165\u95e8\uff1a[JSOI2008] \u6700\u5927\u6570 \u9898\u76ee\u63cf\u8ff0 \u73b0\u5728\u8bf7\u6c42\u4f60\u7ef4\u62a4\u4e00\u4e2a\u6570\u5217\uff0c\u8981\u6c42\u63d0\u4f9b\u4ee5\u4e0b\u4e24\u79cd\u64cd\u4f5c\uff1a 1. \u67e5\u8be2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[82],"tags":[93,91,87,92],"class_list":["post-79","post","type-post","status-publish","format-standard","hentry","category-82","tag-jsoi","tag-91","tag-87","tag-92"],"_links":{"self":[{"href":"https:\/\/www.sjll.top\/index.php?rest_route=\/wp\/v2\/posts\/79","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sjll.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sjll.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sjll.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sjll.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=79"}],"version-history":[{"count":0,"href":"https:\/\/www.sjll.top\/index.php?rest_route=\/wp\/v2\/posts\/79\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sjll.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=79"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sjll.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=79"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sjll.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=79"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}