{"id":74861,"date":"2026-02-10T20:49:36","date_gmt":"2026-02-10T12:49:36","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/74861.html"},"modified":"2026-02-10T20:49:36","modified_gmt":"2026-02-10T12:49:36","slug":"%e7%bc%96%e7%a8%8b%e9%a2%98%e7%bb%83%e4%b9%a0day23%e8%ae%a1%e7%ae%97%e6%9c%ba%e8%8b%b1%e8%af%ad%e7%bf%bb%e8%af%91%e7%bb%83%e4%b9%a0day16","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/74861.html","title":{"rendered":"\u7f16\u7a0b\u9898\u7ec3\u4e60Day23+\u8ba1\u7b97\u673a\u82f1\u8bed\u7ffb\u8bd1\u7ec3\u4e60Day16"},"content":{"rendered":"

\u7f16\u7a0b\u9898\u7ec3\u4e60<\/h3>\n

\"\"<\/p>\n

\u4e00\u3001N\u7684\u500d\u6570<\/h4>\n

\u7ae0\u8282: \u51fd\u6570<\/p>\n

\u95ee\u9898\u63cf\u8ff0<\/h5>\n

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\u8f93\u5165\u8bf4\u660e<\/h6>\n

\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，\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u4ec5\u5360\u4e00\u884c，\u6bcf\u884c\u4ec5\u5305\u62ec\u4e00\u4e2a\u6b63\u6574\u6570N（1\u2264N\u2264100），\u4ee3\u8868\u8981\u6c42\u500d\u6570\u7684\u90a3\u4e2a\u6574\u6570\u3002\u6bcf\u7ec4\u6d4b\u8bd5\u6570\u636e\u4e0e\u5176\u540e\u4e00\u7ec4\u6d4b\u8bd5\u6570\u636e\u4e4b\u95f4\u6ca1\u6709\u4efb\u4f55\u7a7a\u884c，\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

\u8f93\u51fa\u8bf4\u660e<\/h6>\n

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\u8f93\u5165\u8303\u4f8b<\/h6>\n

1
\n2<\/p>\n

\u8f93\u51fa\u8303\u4f8b<\/h6>\n

1
\n10<\/p>\n

\u95ee\u9898\u4f5c\u7b54<\/h5>\n
\u5b8c\u6574\u4ee3\u7801<\/h6>\n

#include <bits\/stdc++.h>
\nusing namespace std;<\/p>\n

void times(int n)
\n{
\n vector<int> parent(n, -1);
\n vector<int> digit(n, -1);
\n vector<bool> visited(n, false);<\/p>\n

queue<int> q;
\n int start = 1 % n;
\n q.push(start);
\n parent[start] = -1;
\n digit[start] = 1;
\n visited[start] = true;<\/p>\n

while (!q.empty()){
\n int curr = q.front();
\n q.pop();<\/p>\n

if(curr == 0){
\n vector<int> digits;
\n int node = 0;
\n while(node != -1){
\n digits.push_back(digit[node]);
\n node = parent[node];
\n }
\n for(int i = digits.size() – 1; i >= 0; i–){
\n cout << digits[i];
\n }
\n cout << endl;
\n return;
\n }<\/p>\n

int next0 = (curr * 10) % n;
\n if (!visited[next0]) {
\n visited[next0] = true;
\n parent[next0] = curr;
\n digit[next0] = 0;
\n q.push(next0);
\n }<\/p>\n

int next1 = (curr * 10 + 1) % n;
\n if (!visited[next1]) {
\n visited[next1] = true;
\n parent[next1] = curr;
\n digit[next1] = 1;
\n q.push(next1);
\n }
\n }
\n}<\/p>\n

int main() {
\n int n;
\n while (cin >> n)
\n times(n);
\n}<\/p>\n

\u8fd0\u884c\u8303\u4f8b<\/h6>\n

\"\"<\/p>\n

\u4e2a\u4eba\u603b\u7ed3<\/h6>\n

1.\u672c\u9898\u53ef\u4ee5\u91c7\u7528\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\u5bfb\u627e\u53ea\u75310\u548c1\u7ec4\u6210\u4e14\u80fd\u88abn\u6574\u9664\u7684\u6700\u5c0f\u6b63\u6574\u6570，\u4e00\u4e2a\u53ea\u5305\u542b0\u548c1\u7684\u6570\u5b57，\u53ef\u4ee5\u770b\u4f5c\u4e00\u4e2a1\u4e0d\u65ad\u5728\u672b\u5c3e\u6dfb\u52a00\u62161\u6784\u5efa\u800c\u6210\u3002<\/p>\n

2.\u6570\u5b57X\u5bf9n\u7684\u4f59\u6570\u4e3ar = X % n \u3002\u5728X\u672b\u5c3e\u6dfb\u52a00：\u65b0\u6570\u5b57\u4e3a10X，\u4f59\u6570\u4e3a(10r) % n ，\u5728X\u672b\u5c3e\u6dfb\u52a01：\u65b0\u6570\u5b57\u4e3a10X + 1，\u4f59\u6570\u4e3a(10r + 1) % n<\/p>\n

3.vector<int> parent(n, -1);\u00a0\u8bb0\u5f55\u72b6\u6001\u7684\u524d\u9a71\u8282\u70b9，vector<int> digit(n, -1); \u8bb0\u5f55\u5230\u8fbe\u8be5\u72b6\u6001\u65f6\u6dfb\u52a0\u7684\u6570\u5b57(0\u62161)，vector<bool> visited(n, false);\u6807\u8bb0\u72b6\u6001\u662f\u5426\u8bbf\u95ee\u8fc7，queue<int> q;BFS\u961f\u5217<\/p>\n

4.\u4f59\u6570\u4e3a0\u8868\u793a\u627e\u5230\u4e86\u80fd\u88abn\u6574\u9664\u7684\u6570，\u9700\u8981\u53cd\u5411\u8ffd\u8e2a\u6784\u5efa\u5b8c\u6574\u7684\u6570\u5b57<\/p>\n

vector<int> digits;
\nint node = 0; \u00a0\/\/ \u4ece\u4f59\u6570\u4e3a0\u7684\u72b6\u6001\u5f00\u59cb
\nwhile (node != -1) { \u00a0\/\/ \u76f4\u5230\u521d\u59cb\u72b6\u6001
\n\u00a0 \u00a0 digits.push_back(digit[node]); \u00a0\/\/ \u8bb0\u5f55\u6dfb\u52a0\u7684\u6570\u5b57
\n\u00a0 \u00a0 node = parent[node]; \u00a0\/\/ \u8df3\u8f6c\u5230\u524d\u9a71\u72b6\u6001
\n}
\n\/\/ \u73b0\u5728digits\u4e2d\u5b58\u50a8\u7684\u662f\u4ece\u6700\u4f4e\u4f4d\u5230\u6700\u9ad8\u4f4d\u7684\u6570\u5b57
\n\/\/ \u9700\u8981\u53cd\u8f6c\u8f93\u51fa
\nfor (int i = digits.size() – 1; i >= 0; i–) {
\n\u00a0 \u00a0 cout << digits[i];
\n}<\/p>\n

5.\u4f59\u6570\u4e0d\u4e3a0，\u5219\u9700\u8981\u8bbe\u7acb\u5728\u672b\u5c3e\u6dfb\u52a00\u548c\u5728\u672b\u5c3e\u6dfb\u52a01\u4e24\u4e2a\u72b6\u6001，\u6700\u591a\u641c\u7d22n\u4e2a\u4f59\u6570\u72b6\u6001（0\u5230n-1），\u6bcf\u4e2a\u72b6\u6001\u6269\u5c552\u4e2a\u65b0\u72b6\u6001，\u603b\u64cd\u4f5c\u6b21\u6570\u7ea62n，\u907f\u514d\u672c\u9898\u9996\u6b21\u7f16\u8bd1\u65f6\u51fa\u73b0\u7684TLE\u7ed3\u679c<\/p>\n

\u4e8c\u3001\u6c42n\u5929\u540e\u7684\u65e5\u671f<\/h4>\n

\u7ae0\u8282: \u51fd\u6570<\/p>\n

\u95ee\u9898\u63cf\u8ff0<\/h5>\n

\u5199\u4e00\u4e2a\u51fd\u6570，\u4f20\u5165\u5e74\u6708\u65e5，\u8ba1\u7b97\u5b83\u7684\u7b2c\u4e8c\u5929，\u5e76\u8fd4\u56de\u8be5\u65e5\u671f\u3002\u7531\u7528\u6237\u8f93\u5165\u5e74\u6708\u65e5\u548c\u4e00\u4e2an\u503c，\u4f7f\u7528\u524d\u8ff0\u51fd\u6570，\u8ba1\u7b97\u8be5\u65e5\u671f\u52a0n\u5929\u7684\u65e5\u671f\u4e3a\u591a\u5c11\u3002<\/p>\n

\u8f93\u5165\u8bf4\u660e<\/h6>\n

\u8f93\u5165year,month,day\u548cn\u51714\u4e2a\u6b63\u6574\u6570，\u4ee5\u7a7a\u683c\u5206\u9694\u3002n\u7684\u503c\u4e0d\u8d85\u8fc72000\u3002<\/p>\n

\u8f93\u51fa\u8bf4\u660e<\/h6>\n

\u8f93\u51fa\u8ba1\u7b97\u5f97\u5230\u7684\u7ed3\u679c\u5e74\u6708\u65e5\u51713\u4e2a\u6b63\u6574\u6570，\u6574\u6570\u4e4b\u95f4\u4ee5\u4e00\u4e2a\u7a7a\u683c\u5206\u9694，\u884c\u9996\u4e0e\u884c\u5c3e\u65e0\u591a\u4f59\u7a7a\u683c\u3002<\/p>\n

\u8f93\u5165\u8303\u4f8b<\/h6>\n

2000 1 1 366<\/p>\n

\u8f93\u51fa\u8303\u4f8b<\/h6>\n

2001 1 1<\/p>\n

\u95ee\u9898\u4f5c\u7b54<\/h5>\n
\u5b8c\u6574\u4ee3\u7801<\/h6>\n

#include <bits\/stdc++.h>
\nusing namespace std;<\/p>\n

int day(int year, int month)
\n{
\nswitch(month)
\n{
\n case 2:
\n return (year % 400 == 0) || (year % 4 == 0 && year % 100 != 0) ? 29 : 28;
\n case 4:
\ncase 6:
\ncase 9:
\ncase 11:
\n return 30;
\n default:
\n return 31;
\n }
\n}<\/p>\n

vector<int> nextday(vector<int> date)
\n{
\n vector<int> newdate = date;
\n newdate[2] = date[2] + 1;
\n if(newdate[2] <= day(date[0], date[1]))
\n return newdate;
\n newdate[2] = 1;
\n newdate[1] += 1;
\n if(newdate[1] <= 12)
\n return newdate;
\n newdate[1] = 1;
\n newdate[0] += 1;
\n return newdate;
\n}<\/p>\n

int main()
\n{
\n int year, month, day, n;
\n cin >> year >> month >> day >> n;
\n vector<int> date(3);
\n date[0] = year;
\n date[1] = month;
\n date[2] = day;
\n while(n–)
\n date = nextday(date);
\n cout << date[0] << " " << date[1] << " " << date[2];
\n}<\/p>\n

\u8fd0\u884c\u8303\u4f8b<\/h6>\n

\"\"<\/p>\n

\u4e2a\u4eba\u603b\u7ed3<\/h6>\n

1.\u672c\u9898\u8981\u6c42\u5199\u4e00\u4e2a\u51fd\u6570，\u4f20\u5165\u5e74\u6708\u65e5，\u8ba1\u7b97\u5b83\u7684\u7b2c\u4e8c\u5929，\u5e76\u8fd4\u56de\u8be5\u65e5\u671f，\u7531\u7528\u6237\u8f93\u5165\u5e74\u6708\u65e5\u548c\u4e00\u4e2an\u503c，\u4f7f\u7528\u8be5\u51fd\u6570，\u8ba1\u7b97\u8be5\u65e5\u671f\u52a0n\u5929\u7684\u65e5\u671f\u5373\u4e3a\u8c03\u7528\u8be5\u51fd\u6570n\u6b21，\u5f97\u5230n\u5929\u540e\u7684\u65e5\u671f<\/p>\n

2.\u5199\u4e00\u4e2aint day(int year, int month)\u4f5c\u4e3a\u8f85\u52a9\u51fd\u6570，\u6c42\u4e00\u4e2a\u6708\u7684\u6700\u5927\u5929\u6570，\u5224\u65ad\u65e5\u671f\u662f\u5426\u8d85\u8ddd<\/p>\n

\u4e09\u3001\u83f1\u5f62\u8f93\u51fa<\/h4>\n

\u7ae0\u8282: \u51fd\u6570<\/p>\n

\u95ee\u9898\u63cf\u8ff0<\/h5>\n

\u660e\u660e\u8fd9\u6b21\u53c8\u78b0\u5230\u95ee\u9898\u4e86：<\/p>\n

\u7ed9\u5b9a\u4e00\u4e2a\u6b63\u6574\u6570N，\u660e\u660e\u7684\u7238\u7238\u8ba9\u4ed6\u8f93\u51fa\u4e00\u4e2a\u4ee5Z\u5f00\u59cb\u7684\u83f1\u5f62，\u4ee5\u540e\u4f9d\u6b21\u4e3aY，X\u2026，<\/p>\n

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Z<\/p>\n

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\u8f93\u51fa\u8bf4\u660e<\/h6>\n

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\u8f93\u5165\u8303\u4f8b<\/h6>\n

1
\n3<\/p>\n

\u8f93\u51fa\u8303\u4f8b<\/h6>\n

Z<\/p>\n

\u00a0 Z
\n\u00a0Y X
\nW \u00a0 V
\n\u00a0U T
\n\u00a0 S<\/p>\n

\u95ee\u9898\u4f5c\u7b54<\/h5>\n
\u5b8c\u6574\u4ee3\u7801<\/h6>\n

#include <bits\/stdc++.h>
\nusing namespace std;<\/p>\n

void output(int n)
\n{
\n vector<char> zyx = {'Z','Y','X','W','V','U','T','S','R','Q','P','O','N','M','L','K','J','I','H','G','F','E','D','C','B','A'};
\n int cursor = 0;
\n for(int i = 0; i < n; i++){
\n if(i == 0){
\n cout << setw(n) << zyx[cursor] << endl;
\n cursor++;
\n }else{
\n cout << setw(n – i) << zyx[cursor];
\n cursor++;
\n cout << setw(2 * i) << zyx[cursor] << endl;
\n cursor++;
\n}
\n }
\n for(int i = n – 2; i >= 0; i–){
\n if(i == 0){
\n cout << setw(n) << zyx[cursor] << endl;
\n cursor++;
\n }else{
\n cout << setw(n – i) << zyx[cursor];
\n cursor++;
\n cout << setw(2 * i) << zyx[cursor] << endl;
\n cursor++;
\n}
\n }
\n cout << endl;
\n}<\/p>\n

int main()
\n{
\n int n;
\n while(cin >> n)
\n output(n);
\n}<\/p>\n

\u8fd0\u884c\u8303\u4f8b<\/h6>\n

\"\"<\/p>\n

\u4e2a\u4eba\u603b\u7ed3<\/h6>\n

1.\u672c\u9898\u8981\u6c42\u8f93\u51fa\u56fa\u5b9a\u89c4\u5f8b\u7684\u683c\u5f0f\u7684\u5b57\u6bcd，\u53ef\u4ee5\u5148\u56fa\u5b9a\u8981\u8f93\u51fa\u7684\u5b57\u6bcd\u6570\u7ec4<\/p>\n

2.\u901a\u8fc7\u8f93\u51fa\u8303\u4f8b\u53ef\u77e5，\u4ee5\u4e0a\u534a\u56fe\u5f62\u4e3a\u4f8b，\u7b2c\u4e00\u884c\u524d\u6709n-1\u4e2a\u7a7a\u683c，\u7b2c\u4e8c\u884c\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u524d\u6709n-2\u4e2a\u7a7a\u683c，\u7b2c\u4e8c\u884c\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\u524d\u67091\u4e2a\u7a7a\u683c，\u7b2c\u4e09\u884c\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u524d\u6709n-3\u4e2a\u7a7a\u683c，\u7b2c\u4e09\u884c\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\u524d\u67093\u4e2a\u7a7a\u683c，\u4f7f\u7528setw()\u56fa\u5b9a\u683c\u5f0f，\u9664\u7b2c\u4e00\u884c\u5916，\u6bcf\u884c\u7b2c\u4e00\u4e2a\u5143\u7d20\u524d\u6709n-1-i\u4e2a\u7a7a\u683c，cout << setw(n – i) << zyx[cursor];，\u5373\u7b2c\u4e00\u4e2a\u5143\u7d20\u5171\u5360n-i\u683c，\u6bcf\u884c\u7b2c\u4e8c\u4e2a\u5143\u7d20\u524d\u67092i-1\u4e2a\u7a7a\u683c，cout << setw(2 * i) << zyx[cursor];，\u5373\u7b2c\u4e8c\u4e2a\u5143\u7d20\u5171\u53602i\u683c<\/p>\n

\u7ffb\u8bd1\u7ec3\u4e60<\/h3>\n

\u7b2c\u4e00\u6bb5<\/h5>\n
\u539f\u6587<\/h6>\n

\"\"<\/p>\n

\u8bd1\u6587<\/h6>\n

GPS\u57281973\u5e74\u7531\u7f8e\u56fd\u7684\u7a7a\u519b\u5f00\u53d1，\u7c7b\u4f3c\u7684\u53d1\u5c55\u4e5f\u5df2\u7ecf\u5728\u6b27\u76df\u3001\u4fc4\u7f57\u65af\u548c\u4e2d\u56fd\u53d1\u751f\u3002\u81ea1994\u5e74\u4ee5\u6765，\u964d\u7ea7\u7684\u5168\u7403\u5b9a\u4f4d\u7cfb\u7edf\u5df2\u53ef\u7528\u4e8e\u6c11\u7528\u5e94\u7528，\u63d0\u4f9b\u53ef\u9760\u7684\u5b9a\u4f4d\u3001\u5bfc\u822a\u548c\u5b9a\u65f6\u670d\u52a1\u3002\u5bf9\u4e8e\u4efb\u4f55\u62e5\u6709\u5168\u7403\u5b9a\u4f4d\u7cfb\u7edf\u63a5\u6536\u5668\u7684\u4eba\u6765\u8bf4，\u8be5\u7cfb\u7edf\u5c06\u5728\u4e16\u754c\u5404\u5730\u7684\u4efb\u4f55\u5929\u6c14\u6761\u4ef6\u4e0b，\u767d\u5929\u548c\u9ed1\u591c，\u4e3a\u65e0\u9650\u6570\u91cf\u7684\u7528\u6237\u63d0\u4f9b\u51c6\u786e\u7684\u4f4d\u7f6e\u548c\u65f6\u95f4\u4fe1\u606f\u3002<\/p>\n

\u886812C-1：\u7269\u8054\u7f51\u7684\u542f\u7528\u548c\u534f\u540c\u6280\u672f<\/p>\n

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\u539f\u6587<\/h6>\n

\"\"<\/p>\n

\u8bd1\u6587<\/h6>\n

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\u7b2c\u4e09\u6bb5<\/h5>\n
\u539f\u6587<\/h6>\n

\"\"<\/p>\n

\u8bd1\u6587<\/h6>\n

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\u56fe12C-1：\u7269\u8054\u7f51\u6280\u672f\u8def\u7ebf\u56fe<\/p>\n

\u5355\u8bcd\u7ec3\u4e60<\/h3>\n

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