{"id":71541,"date":"2026-02-03T22:16:37","date_gmt":"2026-02-03T14:16:37","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/71541.html"},"modified":"2026-02-03T22:16:37","modified_gmt":"2026-02-03T14:16:37","slug":"43-45","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/71541.html","title":{"rendered":"43-45"},"content":{"rendered":"<p>43<\/p>\n<h4>\u6700\u9ad8\u9891\u7387<\/h4>\n<p>\u4f5c\u8005: \u6731\u51ef<\/p>\n<p>\u65f6\u95f4\u9650\u5236: 10s<\/p>\n<p>\u7ae0\u8282: 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&lt;stdio.h&gt;<br \/>\n#include &lt;stdlib.h&gt;<br \/>\n#include &lt;string.h&gt;<\/p>\n<p>\/\/ \u5b9a\u4e49\u6570\u5b57\u7ed3\u6784\u4f53<br \/>\ntypedef struct {<br \/>\n    long long value;  \/\/ \u6570\u5b57\u503c<br \/>\n    int count;        \/\/ \u51fa\u73b0\u6b21\u6570<br \/>\n} Number;<\/p>\n<p>\/\/ \u6bd4\u8f83\u51fd\u6570&#xff0c;\u7528\u4e8eqsort\u6392\u5e8f<br \/>\nint compare(const void *a, const void *b) {<br \/>\n    const Number *num1 &#061; (const Number *)a;<br \/>\n    const Number *num2 &#061; (const Number *)b;<\/p>\n<p>    \/\/ \u5148\u6309\u51fa\u73b0\u6b21\u6570\u964d\u5e8f\u6392\u5e8f<br \/>\n    if (num1-&gt;count !&#061; num2-&gt;count) {<br \/>\n        return num2-&gt;count &#8211; num1-&gt;count;  \/\/ \u964d\u5e8f<br \/>\n    }<br \/>\n    \/\/ \u5982\u679c\u6b21\u6570\u76f8\u540c&#xff0c;\u6309\u6570\u503c\u5347\u5e8f\u6392\u5e8f<br \/>\n    return (num1-&gt;value &#8211; num2-&gt;value);<br \/>\n}<\/p>\n<p>int main() {<br \/>\n    int n;<\/p>\n<p>    \/\/ \u8bfb\u53d6\u591a\u7ec4\u6d4b\u8bd5\u6570\u636e<br \/>\n    while (scanf(&#034;%d&#034;, &amp;n) &#061;&#061; 1) {<br \/>\n        long long *arr &#061; (long long *)malloc(n * sizeof(long long));<br \/>\n        Number *numbers &#061; (Number *)malloc(n * sizeof(Number));<\/p>\n<p>        \/\/ \u8bfb\u53d6\u6570\u5b57<br \/>\n        for (int i &#061; 0; i &lt; n; i&#043;&#043;) {<br \/>\n            scanf(&#034;%lld&#034;, &amp;arr[i]);<br \/>\n        }<\/p>\n<p>        \/\/ \u7edf\u8ba1\u6bcf\u4e2a\u6570\u5b57\u7684\u51fa\u73b0\u6b21\u6570<br \/>\n        int unique_count &#061; 0;<\/p>\n<p>        for (int i &#061; 0; i &lt; n; i&#043;&#043;) {<br \/>\n            int found &#061; 0;<\/p>\n<p>            \/\/ \u68c0\u67e5\u8fd9\u4e2a\u6570\u5b57\u662f\u5426\u5df2\u7ecf\u7edf\u8ba1\u8fc7<br \/>\n            for (int j &#061; 0; j &lt; unique_count; j&#043;&#043;) {<br \/>\n                if (numbers[j].value &#061;&#061; arr[i]) {<br \/>\n                    numbers[j].count&#043;&#043;;<br \/>\n                    found &#061; 1;<br \/>\n                    break;<br \/>\n                }<br \/>\n            }<\/p>\n<p>            \/\/ \u5982\u679c\u662f\u65b0\u6570\u5b57&#xff0c;\u6dfb\u52a0\u5230\u7edf\u8ba1\u6570\u7ec4\u4e2d<br \/>\n            if (!found) {<br \/>\n                numbers[unique_count].value &#061; arr[i];<br \/>\n                numbers[unique_count].count &#061; 1;<br \/>\n                unique_count&#043;&#043;;<br \/>\n            }<br \/>\n        }<\/p>\n<p>        \/\/ \u5bf9\u7edf\u8ba1\u7ed3\u679c\u6392\u5e8f&#xff1a;\u5148\u6309\u51fa\u73b0\u6b21\u6570\u964d\u5e8f&#xff0c;\u6b21\u6570\u76f8\u540c\u6309\u6570\u503c\u5347\u5e8f<br \/>\n        qsort(numbers, unique_count, sizeof(Number), compare);<\/p>\n<p>        \/\/ \u8f93\u51fa\u7ed3\u679c&#xff08;\u7b2c\u4e00\u4e2a\u5c31\u662f\u51fa\u73b0\u6b21\u6570\u6700\u591a&#xff0c;\u6b21\u6570\u76f8\u540c\u65f6\u6700\u5c0f\u7684\u90a3\u4e2a&#xff09;<br \/>\n        printf(&#034;%lld\\\\n&#034;, numbers[0].value);<\/p>\n<p>        \/\/ \u91ca\u653e\u5185\u5b58<br \/>\n        free(arr);<br \/>\n        free(numbers);<br \/>\n    }<\/p>\n<p>    return 0;<br \/>\n}<\/p>\n<p>44<\/p>\n<h4>\u4e09\u8258\u8239<\/h4>\n<p>\u4f5c\u8005: \u6731\u661f\u57a0<\/p>\n<p>\u65f6\u95f4\u9650\u5236: 10s<\/p>\n<p>\u7ae0\u8282: 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\u660e\u660e\u7684\u95ee\u9898\u53ef\u4ee5\u5f52\u7ed3\u4e3a&#xff1a;\u7ed9\u51fa\u4e09\u8258\u8239\u7684\u901f\u5ea6&#xff0c;\u4ee5\u53ca\u5b83\u4eec\u5230\u8fbe\u76ee\u7684\u5730\u65f6\u662f\u51e0\u70b9\u949f&#xff08;\u5e76\u4e0d\u77e5\u9053\u5206\u522b\u662f\u54ea\u4e00\u5929&#xff0c;\u53ea\u77e5\u9053\u4e09\u8258\u8239\u90fd\u5728100\u5929\u4ee5\u5185\u5230\u8fbe\u4e86\u7ec8\u70b9&#xff09;&#xff0c;\u6c42\u4e24\u5730\u95f4\u7684\u8ddd\u79bb\u5230\u5e95\u6709\u591a\u5c11\u3002\u82e5\u6709\u591a\u7ec4\u89e3&#xff0c;\u53ea\u8f93\u51fa\u6700\u5c0f\u7684\u90a3\u7ec4\u89e3\u3002<\/p>\n<h6>\u8f93\u5165\u8bf4\u660e<\/h6>\n<p>\u4f60\u5199\u7684\u7a0b\u5e8f\u8981\u6c42\u4ece\u6807\u51c6\u8f93\u5165\u8bbe\u5907\u4e2d\u8bfb\u5165\u6d4b\u8bd5\u6570\u636e\u4f5c\u4e3a\u4f60\u6240\u5199\u7a0b\u5e8f\u7684\u8f93\u5165\u6570\u636e\u3002\u6807\u51c6\u8f93\u5165\u8bbe\u5907\u4e2d\u6709\u591a\u7ec4\u6d4b\u8bd5\u6570\u636e&#xff0c;\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u5360\u4e8c\u884c&#xff0c;\u7b2c\u4e00\u884c\u67093\u4e2a\u6b63\u6574\u6570a\u3001b\u3001c&#xff0c;\u4ee3\u88683\u8258\u8239\u7684\u5230\u8fbe\u6e2f\u53e3\u90a3\u5929\u7684\u65f6\u95f4\u662f\u51e0\u70b9\u949f&#xff08;0\u2264a\u3001b\u3001c\u226423&#xff09;\u3002\u7b2c\u4e8c\u884c\u67093\u4e2a\u6b63\u6574\u6570d\u3001e\u3001f\u4ee3\u88683\u8258\u8239\u7684\u901f\u5ea6&#xff08;0&lt;d\u3001e\u3001f&lt;30000&#xff09;&#xff0c;\u901f\u5ea6\u7684\u5355\u4f4d\u662f\u5355\u4f4d\u8ddd\u79bb\u6bcf\u5c0f\u65f6\u3002\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u4e0e\u5176\u540e\u4e00\u7ec4\u6d4b\u8bd5\u6570\u636e\u4e4b\u95f4\u6ca1\u6709\u4efb\u4f55\u7a7a\u884c&#xff0c;\u7b2c\u4e00\u7ec4\u6d4b\u8bd5\u6570\u636e\u524d\u9762\u4ee5\u53ca\u6700\u540e\u4e00\u7ec4\u6d4b\u8bd5\u6570\u636e\u540e\u9762\u4e5f\u90fd\u6ca1\u6709\u4efb\u4f55\u7a7a\u884c\u3002<\/p>\n<h6>\u8f93\u51fa\u8bf4\u660e<\/h6>\n<p>\u5bf9\u4e8e\u6bcf\u4e00\u7ec4\u6d4b\u8bd5\u6570\u636e&#xff0c;\u4f60\u5199\u7684\u7a0b\u5e8f\u8981\u6c42\u8ba1\u7b97\u51fa\u4e00\u7ec4\u76f8\u5e94\u7684\u8fd0\u7b97\u7ed3\u679c&#xff0c;\u5e76\u5c06\u8fd9\u4e00\u7ec4\u8fd0\u7b97\u7ed3\u679c\u4f5c\u4e3a\u4f60\u6240\u5199\u7a0b\u5e8f\u7684\u8f93\u51fa\u6570\u636e\u4f9d\u6b21\u5199\u5165\u5230\u6807\u51c6\u8f93\u51fa\u8bbe\u5907\u4e2d\u3002\u6bcf\u7ec4\u8fd0\u7b97\u7ed3\u679c\u7531\u4e00\u4e2a\u6574\u6570\u6784\u6210&#xff0c;\u4ee3\u8868\u8def\u7a0b\u7684\u957f\u5ea6&#xff0c;\u82e5\u6709\u591a\u7ec4\u89e3&#xff0c;\u53ea\u8f93\u51fa\u6700\u5c0f\u7684\u90a3\u7ec4\u89e3\u3002\u6bcf\u7ec4\u8fd0\u7b97\u7ed3\u679c\u4e0e\u5176\u540e\u4e00\u7ec4\u8fd0\u7b97\u7ed3\u679c\u4e4b\u95f4\u6ca1\u6709\u4efb\u4f55\u7a7a\u884c&#xff0c;\u7b2c\u4e00\u7ec4\u8fd0\u7b97\u7ed3\u679c\u524d\u9762\u4ee5\u53ca\u6700\u540e\u4e00\u7ec4\u8fd0\u7b97\u7ed3\u679c\u540e\u9762\u4e5f\u90fd\u6ca1\u6709\u4efb\u4f55\u7a7a\u884c\u3002<\/p>\n<p>#include &lt;stdio.h&gt;<\/p>\n<p>int main() {<br \/>\n    int t1, t2, t3;<br \/>\n    int v1, v2, v3;<\/p>\n<p>    while (scanf(&#034;%d %d %d&#034;, &amp;t1, &amp;t2, &amp;t3) &#061;&#061; 3) {<br \/>\n        scanf(&#034;%d %d %d&#034;, &amp;v1, &amp;v2, &amp;v3);<\/p>\n<p>        long long min_S &#061; -1;  \/\/ \u521d\u59cb\u5316\u4e3a\u672a\u627e\u5230<\/p>\n<p>        \/\/ \u679a\u4e3e\u7b2c\u4e00\u8258\u8239\u7684\u5929\u6570 D1<br \/>\n        for (int D1 &#061; 0; D1 &lt; 100; D1&#043;&#043;) {<br \/>\n            long long T1 &#061; 24LL * D1 &#043; t1;  \/\/ \u603b\u822a\u884c\u65f6\u95f4&#xff08;\u5c0f\u65f6&#xff09;<br \/>\n            long long S &#061; v1 * T1;           \/\/ \u8def\u7a0b<\/p>\n<p>            \/\/ \u68c0\u67e5\u7b2c\u4e8c\u8258\u8239<br \/>\n            if (S % v2 !&#061; 0) continue;<br \/>\n            long long T2 &#061; S \/ v2;           \/\/ \u7b2c\u4e8c\u8258\u8239\u7684\u603b\u65f6\u95f4<br \/>\n            if (T2 &lt; t2) continue;<br \/>\n            if ((T2 &#8211; t2) % 24 !&#061; 0) continue;<br \/>\n            long long D2 &#061; (T2 &#8211; t2) \/ 24;<br \/>\n            if (D2 &lt; 0 || D2 &gt;&#061; 100) continue;<\/p>\n<p>            \/\/ \u68c0\u67e5\u7b2c\u4e09\u8258\u8239<br \/>\n            if (S % v3 !&#061; 0) continue;<br \/>\n            long long T3 &#061; S \/ v3;<br \/>\n            if (T3 &lt; t3) continue;<br \/>\n            if ((T3 &#8211; t3) % 24 !&#061; 0) continue;<br \/>\n            long long D3 &#061; (T3 &#8211; t3) \/ 24;<br \/>\n            if (D3 &lt; 0 || D3 &gt;&#061; 100) continue;<\/p>\n<p>            \/\/ \u6240\u6709\u6761\u4ef6\u6ee1\u8db3&#xff0c;\u8bb0\u5f55\u6700\u5c0f\u7684 S<br \/>\n            if (min_S &#061;&#061; -1 || S &lt; min_S) {<br \/>\n                min_S &#061; S;<br \/>\n            }<br \/>\n        }<\/p>\n<p>        printf(&#034;%lld\\\\n&#034;, min_S);<br \/>\n    }<\/p>\n<p>    return 0;<br \/>\n}<\/p>\n<p>45<\/p>\n<p>#include &lt;stdio.h&gt;<\/p>\n<p>\/\/ \u8ba1\u7b97\u9006\u5e8f\u6570<br \/>\nint reverse(int n) {<br \/>\n    int rev &#061; 0;<br \/>\n    while (n &gt; 0) {<br \/>\n        rev &#061; rev * 10 &#043; n % 10;<br \/>\n        n \/&#061; 10;<br \/>\n    }<br \/>\n    return rev;<br \/>\n}<\/p>\n<p>\/\/ \u5224\u65ad\u662f\u5426\u662f\u56de\u6587\u6570<br \/>\nint is_palindrome(int n) {<br \/>\n    return n &#061;&#061; reverse(n);<br \/>\n}<\/p>\n<p>int main() {<br \/>\n    int n;<br \/>\n    int first_case &#061; 1;<\/p>\n<p>    while (scanf(&#034;%d&#034;, &amp;n) &#061;&#061; 1) {<br \/>\n        if (n &#061;&#061; 0) break;<\/p>\n<p>        \/\/ \u4e0d\u7528\u5904\u7406 first_case \u8f93\u51fa\u7a7a\u884c&#xff0c;\u56e0\u4e3a\u9898\u76ee\u4e0d\u5141\u8bb8\u6709\u7a7a\u884c<br \/>\n        \/\/ \u76f4\u63a5\u8f93\u51fa\u8fc7\u7a0b<\/p>\n<p>        while (1) {<br \/>\n            int rev &#061; reverse(n);<br \/>\n            int sum &#061; n &#043; rev;<br \/>\n            printf(&#034;%d&#043;%d&#061;%d\\\\n&#034;, n, rev, sum);<br \/>\n            if (is_palindrome(sum)) {<br \/>\n                break;<br \/>\n            }<br \/>\n            n &#061; sum;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    return 0;<br \/>\n}<\/p>\n<p>\u7ffb\u8bd1&#xff1a;\u865a\u62df\u73b0\u5b9e&#xff08;VR&#064;&#xff09;\u8d8a\u6765\u8d8a\u53d7\u6b22\u8fce&#xff0c;\u56e0\u4e3a\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u5df2\u7ecf\u53d1\u5c55\u5230\u56fe\u50cf\u5f80\u5f80\u4e0e\u73b0\u5b9e\u4e16\u754c\u65e0\u6cd5\u533a\u5206\u7684\u5730\u6b65\u3002\u7136\u800c&#xff0c;\u6e38\u620f\u3001\u7535\u5f71\u548c\u5176\u4ed6\u5a92\u4f53\u4e2d\u5448\u73b0\u7684\u8ba1\u7b97\u673a\u751f\u6210\u56fe\u50cf\u4e0e\u6211\u4eec\u7684\u7269\u7406\u73af\u5883\u662f\u5206\u79bb\u7684\u3002\u8fd9\u65e2\u662f\u4e00\u79cd\u7f8e\u5fb7&#xff0c;\u4e00\u5207\u7686\u6709\u53ef\u80fd&#xff0c;\u4e5f\u662f\u4e00\u79cd\u9650\u5236\u3002<br \/>\n\u8fd9\u79cd\u5c40\u9650\u6027\u6765\u81ea\u6211\u4eec\u5bf9\u65e5\u5e38\u751f\u6d3b\u7684\u4e3b\u8981\u5174\u8da3&#xff0c;\u5b83\u4e0d\u662f\u9488\u5bf9\u4e00\u4e9b\u865a\u62df\u4e16\u754c&#xff0c;\u800c\u662f\u9488\u5bf9\u6211\u4eec\u5468\u56f4\u7684\u73b0\u5b9e\u4e16\u754c\u3002\u5728\u8bb8\u591a\u65b9\u9762&#xff0c;\u589e\u5f3a\u79fb\u52a8\u8ba1\u7b97&#xff0c;\u4f7f\u4e0e\u73b0\u5b9e\u4e16\u754c\u7684\u8054\u7cfb\u81ea\u52a8\u53d1\u751f&#xff0c;\u4f3c\u4e4e\u662f\u4e00\u4e2a\u6709\u5438\u5f15\u529b\u7684\u63d0\u8bae\u3002\u589e\u5f3a\u73b0\u5b9e&#xff08;AR&#xff09;\u6709\u671b\u5728\u7269\u7406\u4e16\u754c\u548c\u7535\u5b50\u4fe1\u606f\u4e4b\u95f4\u5efa\u7acb\u76f4\u63a5\u3001\u81ea\u52a8\u548c\u53ef\u64cd\u4f5c\u7684\u8054\u7cfb\u3002\u5b83\u4e3a\u7535\u5b50\u589e\u5f3a\u7684\u7269\u7406\u4e16\u754c\u63d0\u4f9b\u4e86\u4e00\u4e2a\u7b80\u5355\u800c\u5373\u65f6\u7684\u7528\u6237\u754c\u9762\u3002AR\u53ef\u4ee5\u5c06\u8ba1\u7b97\u673a\u751f\u6210\u7684\u4fe1\u606f\u53e0\u52a0\u5728\u73b0\u5b9e\u4e16\u754c\u7684\u89c6\u56fe\u4e0a&#xff0c;\u4ee5\u975e\u51e1\u7684\u65b0\u65b9\u5f0f\u653e\u5927\u4eba\u7c7b\u7684\u611f\u77e5\u548c\u8ba4\u77e5\u3002<br 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