{"id":73908,"date":"2026-02-08T17:41:24","date_gmt":"2026-02-08T09:41:24","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/73908.html"},"modified":"2026-02-08T17:41:24","modified_gmt":"2026-02-08T09:41:24","slug":"%e7%89%9b%e5%ae%a2%e5%91%a8%e8%b5%9b-round-126abcde","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/73908.html","title":{"rendered":"\u725b\u5ba2\u5468\u8d5b Round 126(ABCDE)"},"content":{"rendered":"<h4>A.\u5c0f\u7ea2\u7684\u987a\u5b50\u6784\u9020<\/h4>\n<p>\u9898\u76ee\u8be6\u60c5&#xff1a;<\/p>\n<p>\u5c0f\u7ea2\u5b9a\u4e49 k \u5f20\u724c\u4e3a\u300c\u987a\u5b50\u300d&#xff1a;\u5f53\u8fd9\u4e9b\u724c\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u540e&#xff0c;\u5bf9\u4e8e 1&#xff5e;k-1 \u7684\u6bcf\u4e2a i&#xff0c;\u90fd\u6ee1\u8db3 ai\u200b&#043;1&#061;ai&#043;1\u200b&#xff08;\u5373\u8fde\u7eed\u7684 k \u4e2a\u6574\u6570&#xff09;\u3002\u4f8b\u5982&#xff0c;{4,3,6,7,5} \u662f\u987a\u5b50&#xff08;\u6392\u5e8f\u540e\u4e3a 3,4,5,6,7&#xff09;\u3002<\/p>\n<p>\u8bf7\u6784\u9020\u4e00\u4e2a\u7531 5 \u5f20\u724c\u7ec4\u6210\u7684\u3001\u5305\u542b\u6570\u5b57 x \u7684\u987a\u5b50&#xff0c;\u8f93\u51fa\u8fd9 5 \u5f20\u724c&#xff08;\u4efb\u610f\u987a\u5e8f&#xff09;\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u884c\u8f93\u5165\u4e00\u4e2a\u6574\u6570 x\u00a0(1\u2264x\u226410)\u3002<\/p>\n<p>\u8f93\u51fa\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u5728\u4e00\u884c\u4e0a\u4ee5\u4efb\u610f\u987a\u5e8f\u8f93\u51fa\u4e94\u4e2a\u6574\u6570&#xff0c;\u4ee3\u8868\u5305\u542b x \u7684 5 \u5f20\u724c\u7684\u987a\u5b50\u3002<\/p>\n<p>\u4ee3\u7801&#xff1a;<\/p>\n<p>x&#061;int(input())<br \/>\nfor i in range(x,x&#043;5):<br \/>\n    print(i,end&#061;&#034; &#034;)<\/p>\n<h4>B.\u5c0f\u7ea2\u7684\u5b57\u7b26\u4e32\u6784\u9020&#xff08;easy&#xff09;<\/h4>\n<p>\u9898\u76ee\u8be6\u60c5&#xff1a;<\/p>\n<p>\u672c\u9898\u4e3a\u7b80\u5355\u7248\u672c&#xff0c;\u4fdd\u8bc1\u7ed9\u5b9a\u6570\u7ec4\u4e2d\u7684\u300c01 \u4e32\u300d\u4e24\u4e24\u6709\u524d\u7f00\u5173\u7cfb\u3002<\/p>\n<ul>\n<li>\u300c01 \u4e32\u300d\u5b9a\u4e49&#xff1a;\u4ec5\u5305\u542b\u5b57\u7b26 0 \u548c 1 \u7684\u5b57\u7b26\u4e32\u3002<\/li>\n<li>\u7ed9\u5b9a\u957f\u5ea6\u4e3a n \u7684 01 \u4e32\u6570\u7ec4 s&#xff08;\u7279\u6b8a\u6027\u8d28&#xff1a;\u4efb\u610f i,j&#xff0c;\u603b\u6709 si\u200b \u662f sj\u200b \u7684\u524d\u7f00\u6216 sj\u200b \u662f si\u200b \u7684\u524d\u7f00&#xff09;\u3002<\/li>\n<li>\n<p>\u9700\u6784\u9020\u5b57\u7b26\u4e32 s\u2032&#xff0c;\u4f7f\u5f97 s \u4e2d\u6070\u597d\u6709 k \u4e2a 01 \u4e32&#xff08;\u53ef\u4ee5\u76f8\u540c&#xff09;\u662f s\u2032 \u7684\u524d\u7f00\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u3010\u540d\u8bcd\u89e3\u91ca\u3011<\/p>\n<p>\u524d\u7f00&#xff1a;\u4ece\u5b57\u7b26\u4e32\u5f00\u5934\u5230\u4efb\u610f\u4f4d\u7f6e\u7684\u5b50\u4e32&#xff08;\u4f8b\u5982 \u201c1234\u201d \u7684\u524d\u7f00\u6709 \u201c1\u201d\u201c12\u201d\u201c123\u201d\u201c1234\u201d \u548c\u7a7a\u4e32&#xff09;\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0&#xff1a;<\/p>\n<li>\n<p>\u7b2c\u4e00\u884c\u8f93\u5165\u4e24\u4e2a\u6574\u6570 n,k\u00a0(1\u2264k\u2264n\u22642\u00d710^5)&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u4e4b\u540e n \u884c&#xff0c;\u6bcf\u884c\u8f93\u5165\u4e00\u4e2a\u975e\u7a7a 01 \u4e32 si\u200b\u00a0(1\u2264\u2223si\u200b\u2223\u22642\u00d710^5)&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u5355\u4e2a\u6d4b\u8bd5\u6587\u4ef6\u4e2d\u6240\u6709 si\u200b \u7684\u957f\u5ea6\u4e4b\u548c\u4e0d\u8d85\u8fc7 2\u00d710^5\u3002<\/p>\n<\/li>\n<p>\u8f93\u51fa\u63cf\u8ff0&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u82e5\u4e0d\u5b58\u5728\u5408\u6cd5\u5b57\u7b26\u4e32&#xff0c;\u8f93\u51fa -1&#xff1b;<\/p>\n<\/li>\n<li>\u5426\u5219\u8f93\u51fa\u6784\u9020\u7684\u5b57\u7b26\u4e32 s\u2032\u00a0(1\u2264\u2223s\u2032\u2223\u226410^6)&#xff0c;\u9700\u6ee1\u8db3 s \u4e2d\u6070\u597d\u6709 k \u4e2a 01 \u4e32\u662f s\u2032 \u7684\u524d\u7f00\u3002<\/li>\n<\/ul>\n<p>\u4ee3\u7801&#xff1a;<\/p>\n<p>import sys<br \/>\ndef demo():<br \/>\n    data &#061; sys.stdin.read().split()<br \/>\n    n, k &#061; map(int,data[:2])<br \/>\n    aList &#061; data[2:]<br \/>\n    aDict &#061; {}<br \/>\n    for i in aList:<br \/>\n        aDict[i] &#061; aDict.get(i, 0) &#043; 1<br \/>\n    bList &#061; sorted(aDict.keys())<br \/>\n    num &#061; 0<br \/>\n    for x in bList:<br \/>\n        num &#043;&#061; aDict[x]<br \/>\n        if num &#061;&#061; k:<br \/>\n            return x<br \/>\n        elif num &gt; k:<br \/>\n            return -1<br \/>\nprint(demo())<\/p>\n<h4>C.\u5c0f\u7ea2\u7684\u597d\u6570\u7ec4\u6784\u9020<\/h4>\n<p>\u9898\u76ee\u8be6\u60c5&#xff1a;<\/p>\n<p>\u5c0f\u7ea2\u5b9a\u4e49\u4e00\u4e2a\u6570\u7ec4\u662f\u597d\u6570\u7ec4&#xff0c;\u5f53\u4e14\u4ec5\u5f53\u6570\u7ec4\u4e2d\u6bcf\u4e2a\u6570\u90fd\u51fa\u73b0\u4e86\u5076\u6570\u6b21&#xff0c;\u4e14\u6240\u6709\u5143\u7d20\u5747\u4e3a\u6b63\u6574\u6570\u3002\u7279\u6b8a\u7684&#xff0c;{}&#xff08;\u7a7a\u6570\u7ec4&#xff09;\u4e5f\u662f\u4e00\u4e2a\u597d\u6570\u7ec4\u3002<\/p>\n<p>\u73b0\u5728\u5c0f\u7ea2\u60f3\u8981\u627e\u5230\u4e00\u4e2a\u957f\u4e3a n \u7684\u6570\u7ec4&#xff0c;\u4f7f\u5f97&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u5bf9\u4e8e\u4efb\u610f\u6574\u6570 d (0\u2264d&lt;k)&#xff0c;\u5220\u9664\u6570\u7ec4\u4e2d\u4efb\u610f d \u4e2a\u4e0b\u6807\u540e&#xff0c;\u5f97\u5230\u7684\u6570\u7ec4\u90fd\u4e0d\u662f\u597d\u6570\u7ec4&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u5b58\u5728\u4e00\u79cd\u5220\u9664 k \u4e2a\u4e0b\u6807\u7684\u65b9\u5f0f&#xff0c;\u4f7f\u5f97\u5f97\u5230\u7684\u6570\u7ec4\u662f\u597d\u6570\u7ec4\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u8bf7\u4f60\u5e2e\u5e2e\u5979\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u884c\u8f93\u5165\u4e24\u4e2a\u6574\u6570 n,k (1\u2264n\u22642\u00d710^5,0\u2264k\u2264n)\u3002<\/p>\n<p>\u8f93\u51fa\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u5982\u679c\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u6570\u7ec4&#xff0c;\u8bf7\u8f93\u51fa \u22121&#xff1b;\u5426\u5219\u8bf7\u8f93\u51fa n \u4e2a\u6574\u6570 a1\u200b,a2\u200b,\u2026,an\u200b (1\u2264ai\u200b\u226410^9)&#xff0c;\u4ee3\u8868\u6240\u6c42\u7684\u6570\u7ec4\u3002<\/p>\n<p>\u5982\u679c\u5b58\u5728\u591a\u4e2a\u89e3\u51b3\u65b9\u6848&#xff0c;\u60a8\u53ef\u4ee5\u8f93\u51fa\u4efb\u610f\u4e00\u4e2a&#xff0c;\u7cfb\u7edf\u4f1a\u81ea\u52a8\u5224\u5b9a\u662f\u5426\u6b63\u786e\u3002\u6ce8\u610f&#xff0c;\u81ea\u6d4b\u8fd0\u884c\u529f\u80fd\u53ef\u80fd\u56e0\u6b64\u8fd4\u56de\u9519\u8bef\u7ed3\u679c&#xff0c;\u8bf7\u81ea\u884c\u68c0\u67e5\u7b54\u6848\u6b63\u786e\u6027\u3002<\/p>\n<p>\u4ee3\u7801&#xff1a;<\/p>\n<p>n,k&#061;map(int,input().split())<br \/>\nif (n-k)%2&#061;&#061;1:<br \/>\n    print(-1)<br \/>\nelse:<br \/>\n    aList&#061;[int(x) for x in range(1,k&#043;1)]<br \/>\n    for i in range(k&#043;1,k&#043;1&#043;(n-k)\/\/2):<br \/>\n        aList&#043;&#061;[i,i]<br \/>\n    print(&#039; &#039;.join(map(str,aList)))<\/p>\n<h4>D.\u5c0f\u7ea2\u7684\u5de6\u770b\u53f3\u770b\u6784\u9020<\/h4>\n<p>\u9898\u76ee\u8be6\u60c5&#xff1a;<\/p>\n<p>\u5728\u6b64\u9898\u4e2d&#xff0c;\u6211\u4eec\u8ba4\u4e3a\u6570\u7ec4\u4ee5\u4ece\u5de6\u5230\u53f3\u7684\u987a\u5e8f\u6392\u5217\u3002\u5bf9\u4e8e\u4e00\u4e2a\u6570\u7ec4 a&#xff0c;\u5c0f\u7ea2\u5b9a\u4e49\u300c\u5de6\u770b\u300d\u4e0e\u300c\u53f3\u770b\u300d\u4e3a&#xff1a;<\/p>\n<ul>\n<li>\u300c\u5de6\u770b\u300d&#xff1a;\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u8bb0\u5f55\u6570\u7ec4\u4e2d\u6ee1\u8db3 \u201c\u5927\u4e8e\u5176\u5de6\u4fa7\u6240\u6709\u6570\u201d \u7684\u6570\u7ec4\u6210\u7684\u65b0\u6570\u7ec4&#xff08;\u6309\u53d6\u51fa\u987a\u5e8f&#xff09;\u3002<\/li>\n<li>\u300c\u53f3\u770b\u300d&#xff1a;\u4ece\u53f3\u5230\u5de6\u4f9d\u6b21\u8bb0\u5f55\u6570\u7ec4\u4e2d\u6ee1\u8db3 \u201c\u5927\u4e8e\u5176\u53f3\u4fa7\u6240\u6709\u6570\u201d \u7684\u6570\u7ec4\u6210\u7684\u65b0\u6570\u7ec4&#xff08;\u6309\u53d6\u51fa\u987a\u5e8f&#xff09;\u3002<\/li>\n<\/ul>\n<p>\u5982&#xff0c;\u8bbe\u4e00\u4e2a\u6570\u7ec4 b&#061;{2,3,4,3,5,1}&#xff0c;\u5219\u300c\u5de6\u770b\u300d\u4e3a {2,3,4,5}&#xff0c;\u300c\u53f3\u770b\u300d\u4e3a {1,5}\u3002<\/p>\n<p>\u5c0f\u7ea2\u7ed9\u51fa\u4e86\u4e00\u4e2a\u957f\u4e3a x \u7684\u6570\u7ec4 c \u4e0e\u4e00\u4e2a\u957f\u4e3a y \u7684\u6570\u7ec4 d&#xff0c;\u4ed6\u5e0c\u671b\u5c0f\u82ef\u80fd\u6784\u9020\u4e00\u4e2a\u957f\u4e3a n \u7684\u6570\u7ec4&#xff0c;\u4f7f\u5f97 c \u662f\u5176\u300c\u5de6\u770b\u300d&#xff0c;d \u662f\u5176\u300c\u53f3\u770b\u300d\u3002\u8bf7\u4f60\u5e2e\u5e2e\u5c0f\u82ef\u3002\u7279\u6b8a\u7684&#xff0c;\u4fdd\u8bc1\u6570\u7ec4 c&#xff0c;d \u4e25\u683c\u5355\u8c03\u9012\u589e\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u884c\u8f93\u5165\u4e09\u4e2a\u6574\u6570 x,y,n (1\u2264x,y,n\u22642\u00d710^5)\u3002\u7b2c\u4e8c\u884c\u8f93\u5165 x \u4e2a\u6574\u6570 ci\u200b (1\u2264ci\u200b\u22642\u00d710^5)\u3002\u7b2c\u4e09\u884c\u8f93\u5165 y \u4e2a\u6574\u6570 di\u200b (1\u2264di\u200b\u22642\u00d710^5)\u3002<\/p>\n<p>\u8f93\u51fa\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u5982\u679c\u4e0d\u5b58\u5728\u5408\u6cd5\u7684\u6784\u9020&#xff0c;\u8bf7\u8f93\u51fa \u22121&#xff0c;\u5426\u5219\u8f93\u51fa n \u4e2a\u6b63\u6574\u6570&#xff0c;\u4ee3\u8868\u6240\u6784\u9020\u7684\u6570\u7ec4\u3002<\/p>\n<p>\u5982\u679c\u5b58\u5728\u591a\u4e2a\u89e3\u51b3\u65b9\u6848&#xff0c;\u60a8\u53ef\u4ee5\u8f93\u51fa\u4efb\u610f\u4e00\u4e2a&#xff0c;\u7cfb\u7edf\u4f1a\u81ea\u52a8\u5224\u5b9a\u662f\u5426\u6b63\u786e\u3002\u6ce8\u610f&#xff0c;\u81ea\u6d4b\u8fd0\u884c\u529f\u80fd\u53ef\u80fd\u56e0\u6b64\u8fd4\u56de\u9519\u8bef\u7ed3\u679c&#xff0c;\u8bf7\u81ea\u884c\u68c0\u67e5\u7b54\u6848\u6b63\u786e\u6027\u3002<\/p>\n<p>\u4ee3\u7801&#xff1a;<\/p>\n<p>x,y,n&#061;map(int,input().split())<br \/>\naList&#061;[int(x) for x in input().split()]<br \/>\nbList&#061;[int(x) for x in input().split()]<br \/>\nif aList[-1]!&#061;bList[-1] or x&#043;y-1&gt;n:<br \/>\n    print(-1)<br \/>\nelse:<br \/>\n    cList&#061;aList[:-1]&#043;[aList[-1]]*(n-x-y&#043;2)&#043;bList[:-1][::-1]<br \/>\n    print(&#039; &#039;.join(map(str,cList)))<\/p>\n<h4>E.\u5c0f\u7ea2\u7684\u5b8c\u5168\u5e73\u65b9\u6570\u6784\u9020<\/h4>\n<p>\u9898\u76ee\u8be6\u60c5&#xff1a;<\/p>\n<p>\u5c0f\u7ea2\u62ff\u5230\u4e86\u4e00\u4e2a\u6574\u6570 n&#xff0c;\u5979\u60f3\u8981\u5728\u8fd9\u4e2a\u6574\u6570\u7684\u5341\u8fdb\u5236\u8868\u793a\u672b\u5c3e\u62fc\u63a5\u4e00\u4e2a\u975e\u7a7a\u7684\u6570\u5b57\u4e32&#xff08;\u5982\u5c06 123 \u4fee\u6539\u4e3a 1230987654&#xff09;&#xff0c;\u4f7f\u5f97\u4fee\u6539\u8fc7\u540e\u7684\u65b0\u6570 n\u2032 \u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570&#xff0c;\u8bf7\u4f60\u5e2e\u5e2e\u5979\u3002<\/p>\n<p>\u3010\u540d\u8bcd\u89e3\u91ca\u3011<\/p>\n<p>\u5b8c\u5168\u5e73\u65b9\u6570&#xff1a;\u4e00\u4e2a\u6570\u5982\u679c\u53ef\u4ee5\u8868\u793a\u4e3a\u67d0\u4e2a\u6574\u6570\u7684\u5e73\u65b9&#xff0c;\u90a3\u4e48\u8fd9\u4e2a\u6570\u5c31\u662f\u5b8c\u5168\u5e73\u65b9\u6570\u3002\u524d\u5341\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\u662f 0, 1, 4, 9, 16, 25, 36, 49, 64, 81\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0&#xff1a;<\/p>\n<p>\u6bcf\u4e2a\u6d4b\u8bd5\u6587\u4ef6\u5747\u5305\u542b\u591a\u7ec4\u6d4b\u8bd5\u6570\u636e\u3002\u7b2c\u4e00\u884c\u8f93\u5165\u4e00\u4e2a\u6574\u6570 T (1\u2264T\u226410^5) \u4ee3\u8868\u6570\u636e\u7ec4\u6570&#xff0c;\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u63cf\u8ff0\u5982\u4e0b&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u884c\u8f93\u5165\u4e00\u4e2a\u6574\u6570 n 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range(18):<br \/>\n        l, r &#061; 0, 10 ** 9 &#043; 7<br \/>\n        while l&lt;&#061;r:<br \/>\n            mid&#061;(r-l)\/\/2&#043;l<br \/>\n            if mid*mid&gt;&#061;n*a:<br \/>\n                r&#061;mid-1<br \/>\n                ans&#061;mid<br \/>\n            else:<br \/>\n                l&#061;mid&#043;1<br \/>\n        if ans*ans&lt;(n&#043;1)*a:<br \/>\n            break<br \/>\n        a*&#061;10<br \/>\n    print(ans*ans)<\/p>\n<p>t&#061;int(input())<br \/>\nwhile t:<br \/>\n    t-&#061;1<br \/>\n    demo()<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A.\u5c0f\u7ea2\u7684\u987a\u5b50\u6784\u9020\u9898\u76ee\u8be6\u60c5&#xff1a;\u5c0f\u7ea2\u5b9a\u4e49 k \u5f20\u724c\u4e3a\u300c\u987a\u5b50\u300d&#xff1a;\u5f53\u8fd9\u4e9b\u724c\u4ece\u5c0f\u5230\u5927\u6392\u5e8f\u540e&#xff0c;\u5bf9\u4e8e 1&#xff5e;k-1 \u7684\u6bcf\u4e2a i&#xff0c;\u90fd\u6ee1\u8db3 ai\u200b1ai1\u200b&#xff08;\u5373\u8fde\u7eed\u7684 k 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