{"id":79282,"date":"2026-03-01T15:49:29","date_gmt":"2026-03-01T07:49:29","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/79282.html"},"modified":"2026-03-01T15:49:29","modified_gmt":"2026-03-01T07:49:29","slug":"ccf-gesp%e4%ba%8c%e7%ba%a7%e5%a4%87%e8%80%83%e6%8b%86%e6%95%b0%ef%bc%88%e6%a8%a1%e6%8b%9f%e9%a2%98%e7%9c%9f%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/79282.html","title":{"rendered":"CCF--GESP\u4e8c\u7ea7\u5907\u8003\u62c6\u6570\uff08\u6a21\u62df\u9898+\u771f\u9898\uff09"},"content":{"rendered":"

\u4e00\u3001📘\u300aGESP\u4e8c\u7ea7\u5907\u800310\u9053\u62c6\u6570\u6a21\u62df\u9898\u300b<\/h2>\n
\n

\u7b2c1\u9898：\u6570\u5b57\u58eb\u5175\u62a5\u6570（\u6c42\u5404\u4f4d\u6570\u5b57\u4e4b\u548c）<\/h2>\n

1\u3001🌈\u6545\u4e8b<\/h3>\n

（1）\u6570\u5b57\u738b\u56fd\u6765\u4e86\u4e00\u961f\u58eb\u5175：<\/h4>\n

345<\/p>\n

\n

（2）\u5176\u5b9e\u662f：<\/h4>\n

3\u53f7\u58eb\u5175
\n4\u53f7\u58eb\u5175
\n5\u53f7\u58eb\u5175<\/p>\n

\n

（3）\u56fd\u738b\u60f3\u77e5\u9053：<\/h4>\n

👉 \u8fd9\u4e2a\u961f\u4f0d，\u58eb\u5175\u7f16\u53f7\u52a0\u8d77\u6765\u662f\u591a\u5c11？<\/p>\n

3+4+5=12<\/p>\n

\n

2\u3001🧠\u601d\u8def<\/h3>\n

\u6bcf\u6b21\u62c6\u51fa\u4e00\u4e2a\u6570\u5b57，\u52a0\u5230\u7d2f\u52a0\u5668\u91cc，\u6700\u540e\u8f93\u51fa\u7d2f\u52a0\u5668\u7684\u503c\u3002<\/p>\n

\n

3\u3001💻\u53c2\u8003\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int sum = 0;<\/p>\n

while(n)
\n {
\n sum += n % 10;
\n n \/= 10;
\n }<\/p>\n

cout << sum;
\n}<\/p>\n

\n

\u7b2c2\u9898：\u6570\u4e00\u6570\u6709\u591a\u5c11\u58eb\u5175（\u6570\u5b57\u4e2a\u6570）<\/h2>\n

1\u3001🌈\u6545\u4e8b\u00a0<\/h3>\n

（1）\u6570\u5b57\u738b\u56fd\u6765\u4e86\u4e00\u961f\u58eb\u5175：<\/h4>\n

7896<\/p>\n

\n

（2）\u58eb\u5175\u7f16\u53f7：<\/h4>\n

7\u53f7\u58eb\u5175
\n8\u53f7\u58eb\u5175
\n9\u53f7\u58eb\u5175
\n6\u53f7\u58eb\u5175<\/p>\n

\n

（3）\u56fd\u738b\u60f3\u77e5\u9053：<\/h4>\n

👉 \u6709\u591a\u5c11\u58eb\u5175？<\/p>\n

\n

（4）\u6570\u4e00\u6570，\u51fa\u7ed3\u679c<\/h4>\n

4<\/p>\n

\n

2\u3001🧠\u601d\u8def<\/h3>\n

\u62c6\u4e00\u6b21，\u8ba1\u6570\u5668\u5c31\u52a01\u6b21\u3002<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int count = 0;<\/p>\n

while(n)
\n {
\n count++;
\n n \/= 10;
\n }<\/p>\n

cout << count;
\n}<\/p>\n

\n

\u7b2c3\u9898：\u955c\u5b50\u9b54\u6cd5（\u53cd\u8f6c\u6570\u5b57）<\/h2>\n

1\u3001🌈\u6545\u4e8b<\/h3>\n

\u6570\u5b57\u7167\u955c\u5b50：<\/p>\n

123
\n\u53d8\u6210
\n321<\/p>\n

\n

2\u3001🧠\u601d\u8def<\/h3>\n

\u6bcf\u6b21\u62fc\u63a5：<\/p>\n

\u65b0\u6570 = \u65b0\u6570\u00d710 + \u5f53\u524d\u4f4d<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int rev = 0;<\/p>\n

while(n)
\n {
\n rev = rev * 10 + n % 10;
\n n \/= 10;
\n }<\/p>\n

cout << rev;
\n}<\/p>\n

\n

\u7b2c4\u9898：\u5bfb\u627e\u6570\u5b57 7<\/h2>\n

1\u3001🌈\u6545\u4e8b<\/h3>\n

\u56fd\u738b\u559c\u6b22\u6570\u5b577！<\/p>\n

\u8f93\u5165：<\/p>\n

1725<\/p>\n

\u53d1\u73b0\u67097 \u2192 \u8f93\u51fa YES<\/p>\n

\n

2\u3001🧠\u601d\u8def<\/h3>\n

\u62c6\u51fa\u6570\u5b57，\u6765\u5224\u65ad，\u770b\u770b\u6709\u6ca1\u67097\u3002<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

bool found = false;<\/p>\n

while(n)
\n {
\n if(n % 10 == 7)
\n found = true;<\/p>\n

n \/= 10;
\n }<\/p>\n

if(found)
\n cout<<"YES";
\n else
\n cout<<"NO";
\n}<\/p>\n

\n

\u7b2c5\u9898：\u627e\u6700\u5927\u7f16\u53f7\u7684\u58eb\u5175<\/h2>\n

1\u3001🌈\u6545\u4e8b<\/h3>\n

（1）\u4e00\u961f\u58eb\u5175：<\/h4>\n

4829<\/p>\n

\n

（2）\u6700\u5927\u7f16\u53f7：<\/h4>\n

9<\/p>\n

\n

2\u3001🧠\u601d\u8def<\/h3>\n

\u62c6\u51fa\u6570\u5b57，\u6253\u64c2\u53f0，\u627e\u6700\u5927\u7684\u4e00\u4e2a\u3002<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int mx = 0;<\/p>\n

while(n)
\n {
\n int d = n % 10;<\/p>\n

if(d > mx)
\n mx = d;<\/p>\n

n \/= 10;
\n }<\/p>\n

cout << mx;
\n}<\/p>\n

\n

\u7b2c6\u9898：\u627e\u6700\u5c0f\u58eb\u5175<\/h2>\n

1\u3001\u8f93\u5165：<\/h3>\n

4829<\/p>\n

\n

2\u3001\u8f93\u51fa：<\/h3>\n

2<\/p>\n

\u6700\u5c0f\u7684\u4e00\u4e2a\u662f2<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int mn = 9;<\/p>\n

while(n)
\n {
\n int d = n % 10;<\/p>\n

if(d < mn)
\n mn = d;<\/p>\n

n \/= 10;
\n }<\/p>\n

cout << mn;
\n}<\/p>\n

\n

\u7b2c7\u9898：\u5076\u6570\u58eb\u5175\u6709\u591a\u5c11<\/h2>\n

1\u3001\u8f93\u5165：<\/h3>\n

123456<\/p>\n

\n

2\u3001\u5076\u6570：<\/h3>\n

2 4 6
\n\u51713\u4e2a<\/p>\n

\n

3\u3001🧠\u601d\u8def<\/h3>\n

\u5148\u62c6\u6570，\u518d\u5224\u65ad，\u7b26\u5408\u6761\u4ef6\u518d\u8ba1\u6570\u3002<\/p>\n

\n

4\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int count = 0;<\/p>\n

while(n)
\n {
\n if(n % 10 % 2 == 0)
\n count++;<\/p>\n

n \/= 10;
\n }<\/p>\n

cout << count;
\n}<\/p>\n

\n

\u7b2c8\u9898：\u5404\u4f4d\u6570\u5b57\u4e58\u79ef<\/h2>\n

1\u3001\u8f93\u5165：<\/h3>\n

1234<\/p>\n

\n

2\u3001\u8f93\u51fa：<\/h3>\n

24<\/p>\n

\n

3\u3001\u56e0\u4e3a：<\/h3>\n

1\u00d72\u00d73\u00d74<\/p>\n

\n

4\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int mul = 1;<\/p>\n

while(n)
\n {
\n mul *= n % 10;
\n n \/= 10;
\n }<\/p>\n

cout << mul;
\n}<\/p>\n

\n

\u7b2c9\u9898：\u56de\u6587\u6570\u5224\u65ad（\u91cd\u70b9）<\/h2>\n

1\u3001🌈\u6545\u4e8b<\/h3>\n

（1）\u56de\u6587\u6570：<\/h4>\n

121
\n\u50cf\u955c\u5b50\u4e00\u6837<\/p>\n

\n

（2）\u975e\u56de\u6587：<\/h4>\n

123<\/p>\n

\n

2\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int original = n;
\n int rev = 0;<\/p>\n

while(n)
\n {
\n rev = rev * 10 + n % 10;
\n n \/= 10;
\n }<\/p>\n

if(original == rev)
\n cout<<"YES";
\n else
\n cout<<"NO";
\n}<\/p>\n

\n

\u7b2c10\u9898：\u7edf\u8ba1\u6570\u5b570\u7684\u4e2a\u6570（\u8003\u8bd5\u5e38\u8003）<\/h2>\n

1\u3001\u8f93\u5165：<\/h3>\n

10020<\/p>\n

\n

2\u3001\u8f93\u51fa：<\/h3>\n

3<\/p>\n

\n

3\u3001💻\u4ee3\u7801<\/h3>\n

#include<iostream>
\nusing namespace std;<\/p>\n

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

int count = 0;<\/p>\n

while(n)
\n {
\n if(n % 10 == 0)
\n count++;<\/p>\n

n \/= 10;
\n }<\/p>\n

cout << count;
\n}<\/p>\n

\n

\u4e8c\u3001🎯\u62c6\u6570\u95ee\u9898\u4e07\u80fd\u6a21\u677f<\/h2>\n

while(n)
\n{
\n int d = n % 10;<\/p>\n

\/\/\u5904\u7406d<\/p>\n

n \/= 10;
\n}<\/p>\n

\n

\u4e09\u3001🎯GESP\u4e8c\u7ea7\u8003\u8bd5\u6700\u5e38\u8003\u62c6\u6570\u9898\u7c7b\u578b<\/h2>\n
  • \n

    \u5404\u4f4d\u6570\u5b57\u548c \u2b50\u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u53cd\u8f6c\u6570\u5b57 \u2b50\u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u56de\u6587\u6570 \u2b50\u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u6570\u5b57\u4e2a\u6570 \u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u627e\u67d0\u4e2a\u6570\u5b57 \u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u6700\u5927\u6700\u5c0f \u2b50\u2b50\u2b50\u2b50<\/p>\n<\/li>\n

  • \n

    \u5076\u6570\u7edf\u8ba1 \u2b50\u2b50\u2b50<\/p>\n<\/li>\n

    \n

    \u56db\u3001🎁\u8bb0\u5fc6\u53e3\u8bc0<\/h2>\n

    \u62c6\u6570\u5b57，\u5f88\u7b80\u5355
    \n%10\u53d6\u5c3e\u6700\u5173\u952e
    \n\/10\u5220\u9664\u5f80\u524d\u8d70
    \nwhile\u5faa\u73af\u5230\u5c3d\u5934<\/p>\n

    \n

    \u4e94\u3001\u5f80\u5c4aGESP\u4e8c\u7ea7\u62c6\u6570\u5b57\u771f\u9898：<\/h2>\n

    \"\"<\/p>\n

    \"\"\"\"<\/p>\n

    \n

    1\u3001\u53c2\u8003\u7a0b\u5e8f（\u4f18\u7f8e\u7684\u6570\u5b57）：<\/h3>\n

    #include <bits\/stdc++.h>
    \nusing namespace std;
    \nint n, ans;
    \nint main()
    \n{
    \nscanf("%d", &n);
    \nfor (int i = 1; i <= n; i++)
    \n{
    \nint v = i % 10, t = i \/ 10, chk = 1;
    \nwhile (t)
    \n{
    \nif (t % 10 != v) chk = 0;
    \nt \/= 10;
    \n}
    \nans += chk;
    \n}
    \nprintf("%d\\\\n", ans);
    \nreturn 0;
    \n}<\/p>\n

    \"\"\"\"\"\"<\/p>\n

    \n

    2\u3001\u53c2\u8003\u7a0b\u5e8f（\u6570\u4f4d\u548c）：<\/h3>\n

    #include <iostream>
    \nusing namespace std;<\/p>\n

    int main() {
    \n int n;
    \n cin >> n; \/\/ \u8bfb\u5165\u6570\u5b57\u4e2a\u6570<\/p>\n

    int max_sum = 0; \/\/ \u7528\u6765\u4fdd\u5b58\u5f53\u524d\u6700\u5927\u7684\u6570\u4f4d\u548c<\/p>\n

    for (int i = 0; i < n; i++) {
    \n long long num;
    \n cin >> num; \/\/ \u8bfb\u5165\u4e00\u4e2a\u6570\u5b57<\/p>\n

    int digit_sum = 0;<\/p>\n

    \/\/ \u62c6\u89e3\u6570\u5b57，\u9010\u4f4d\u52a0\u548c
    \n while (num > 0) {
    \n digit_sum += num % 10; \/\/ \u53d6\u51fa\u5f53\u524d\u4e2a\u4f4d
    \n num \/= 10; \/\/ \u53bb\u6389\u5f53\u524d\u4e2a\u4f4d
    \n }<\/p>\n

    \/\/ \u66f4\u65b0\u6700\u5927\u503c
    \n if (digit_sum > max_sum) {
    \n max_sum = digit_sum;
    \n }
    \n }<\/p>\n

    cout << max_sum << endl; \/\/ \u8f93\u51fa\u6700\u7ec8\u7ed3\u679c
    \n return 0;
    \n}<\/p>\n

    \n

    \"\"\"\"\"\"\"\"<\/p>\n

    \n

    3\u3001\u53c2\u8003\u7a0b\u5e8f（\u6570\u4f4d\u4e4b\u548c）：<\/h3>\n

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

    int main(){
    \n int n;
    \n cin >> n; \/\/ \u8f93\u5165\u5f85\u5224\u65ad\u7684\u6574\u6570\u4e2a\u6570<\/p>\n

    \/\/ \u5faa\u73af\u5904\u7406 n \u4e2a\u6570
    \n for(int i = 1; i <= n; i++){
    \n int x;
    \n cin >> x; \/\/ \u8f93\u5165\u5f53\u524d\u8981\u5224\u65ad\u7684\u6574\u6570<\/p>\n

    int tot = 0; \/\/ \u5b58\u50a8\u5404\u4f4d\u6570\u5b57\u4e4b\u548c<\/p>\n

    \/\/ \u62c6\u5206\u6bcf\u4e00\u4f4d\u6570\u5b57\u5e76\u6c42\u548c
    \n while(x){
    \n tot += (x % 10); \/\/ \u52a0\u4e0a\u6700\u4f4e\u4f4d
    \n x \/= 10; \/\/ \u53bb\u6389\u6700\u4f4e\u4f4d
    \n }<\/p>\n

    \/\/ \u5224\u65ad\u6570\u4f4d\u548c\u662f\u5426\u662f7\u7684\u500d\u6570
    \n if(tot % 7 == 0)
    \n cout << "Yes\\\\n";
    \n else
    \n cout << "No\\\\n";
    \n }<\/p>\n

    return 0;
    \n}<\/p>\n

    \n

    \"\"\"\"\"\"<\/p>\n

    \n

    4\u3001\u53c2\u8003\u7a0b\u5e8f（\u8ba1\u6570）：<\/h3>\n

    #include <iostream>
    \nusing namespace std;<\/p>\n

    \/\/ \u51fd\u6570 check(x, y)：\u7edf\u8ba1\u4e00\u4e2a\u6574\u6570 x \u4e2d\u6709\u591a\u5c11\u4f4d\u662f\u6570\u5b57 y
    \nint check(int x, int y) {
    \n int cnt = 0; \/\/ \u7edf\u8ba1 y \u51fa\u73b0\u7684\u6b21\u6570
    \n while (x > 0) { \/\/ \u9010\u4f4d\u5904\u7406 x \u4e2d\u7684\u6bcf\u4e00\u4f4d
    \n int tmp = x % 10; \/\/ \u63d0\u53d6\u5f53\u524d\u6700\u4f4e\u4f4d
    \n if (tmp == y) { \/\/ \u5982\u679c\u8fd9\u4e00\u4f4d\u7b49\u4e8e y
    \n cnt++; \/\/ \u7edf\u8ba1\u6b21\u6570\u52a0\u4e00
    \n }
    \n x = x \/ 10; \/\/ \u53bb\u6389\u6700\u4f4e\u4f4d，\u7ee7\u7eed\u5224\u65ad\u4e0b\u4e00\u4f4d
    \n }
    \n return cnt; \/\/ \u8fd4\u56de\u5728\u8fd9\u4e2a\u6570\u4e2d y \u51fa\u73b0\u7684\u6b21\u6570
    \n}<\/p>\n

    int main() {
    \n int n, k;
    \n cin >> n >> k; \/\/ \u8f93\u5165 n \u548c k<\/p>\n

    int ans = 0; \/\/ \u6700\u7ec8\u7edf\u8ba1\u7ed3\u679c
    \n for (int i = 1; i <= n; i++) {
    \n ans += check(i, k); \/\/ \u5bf9\u6bcf\u4e2a 1~n \u7684\u6570\u5b57\u8c03\u7528 check \u7d2f\u52a0\u7ed3\u679c
    \n }<\/p>\n

    cout << ans << endl; \/\/ \u8f93\u51fa\u6700\u7ec8\u7edf\u8ba1\u6b21\u6570
    \n return 0;
    \n}<\/p>\n

    \n

    \"\"\"\"\"\"<\/p>\n

    \n

    5\u3001\u53c2\u8003\u7a0b\u5e8f（\u6570\u5b57\u9ed1\u6d1e）：<\/h3>\n

    #include <iostream>
    \n#include <algorithm>
    \nusing namespace std;<\/p>\n

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

    int count=0;<\/p>\n

    while(n!=495)
    \n {
    \n int a[3];<\/p>\n

    a[0]=n\/100;
    \n a[1]=n\/10%10;
    \n a[2]=n%10;<\/p>\n

    sort(a,a+3);<\/p>\n

    int min=a[0]*100+a[1]*10+a[2];
    \n int max=a[2]*100+a[1]*10+a[0];<\/p>\n

    n=max-min;<\/p>\n

    count++;
    \n }<\/p>\n

    cout<<count;
    \n}<\/p>\n

    \n

    2023\u5e746\u6708GESP\u4e8c\u7ea7\u8003\u8bd5\u7b2c\u4e8c\u9898：<\/h3>\n

    \"\"\"\"\"\"<\/p>\n

    \n

    6\u3001\u53c2\u8003\u7a0b\u5e8f（\u81ea\u5e42\u6570）：<\/h3>\n

    #include <iostream>
    \nusing namespace std;<\/p>\n

    int main() {
    \n int m = 0;
    \n cin >> m; \/\/ \u8f93\u5165\u8981\u5224\u65ad\u7684\u6570\u5b57\u4e2a\u6570<\/p>\n

    for (int i = 0; i < m; i++) {
    \n int n = 0;
    \n cin >> n; \/\/ \u8f93\u5165\u8981\u5224\u65ad\u7684\u4e00\u4e2a\u6574\u6570<\/p>\n

    \/\/ \u7b2c\u4e00\u6b65：\u8ba1\u7b97 n \u7684\u4f4d\u6570 l
    \n int t = n, l = 0;
    \n while (t > 0) {
    \n t \/= 10;
    \n l++; \/\/ \u6bcf\u9664\u4e00\u6b21，\u8bf4\u660e\u591a\u4e00\u4f4d
    \n }<\/p>\n

    \/\/ \u7b2c\u4e8c\u6b65：\u8ba1\u7b97\u6bcf\u4f4d\u6570\u5b57\u7684 l \u6b21\u65b9\u4e4b\u548c sum
    \n int sum = 0;
    \n t = n; \/\/ \u91cd\u65b0\u8fd8\u539f t = n
    \n while (t > 0) {
    \n int d = t % 10; \/\/ \u53d6\u6700\u4f4e\u4f4d
    \n t \/= 10; \/\/ \u53bb\u6389\u6700\u4f4e\u4f4d<\/p>\n

    \/\/ \u8ba1\u7b97 d \u7684 l \u6b21\u65b9
    \n int mul = 1;
    \n for (int j = 0; j < l; j++)
    \n mul *= d;<\/p>\n

    sum += mul;
    \n }<\/p>\n

    \/\/ \u7b2c\u4e09\u6b65：\u5224\u65ad\u662f\u5426\u4e3a\u81ea\u5e42\u6570
    \n if (sum == n)
    \n cout << "T" << endl;
    \n else
    \n cout << "F" << endl;
    \n }<\/p>\n

    return 0;
    \n}<\/p>\n

    \n","protected":false},"excerpt":{"rendered":"

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    \n4\u53f7\u58eb\u5175
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