• USACO Training 1.3 Palindromic Squares


    Palindromes are numbers that read the same forwards as backwards. The number 12321 is a typical palindrome.

    回文数是反向和正向读都是一样的数字,例如12321就是一个典型的回文数。

    Given a number base B, print all the integers N (1 <= N <= 300 base 10) such that the square of N is palindromic when expressed in base B; also print the value of that palindromic square. Use the letters 'A', 'B', and so on to represent the digits 10, 11, and so on.

    Print both the number and its square in base B.

    PROGRAM NAME: palsquare

    INPUT FORMAT

    A single line with B, the base (specified in base 10).

    SAMPLE INPUT (file palsquare.in)

    10
    

    OUTPUT FORMAT

    Lines with two integers represented in base B. The first integer is the number whose square is palindromic; the second integer is the square itself. NOTE WELL THAT BOTH INTEGERS ARE IN BASE B!

    SAMPLE OUTPUT (file palsquare.out)

    1 1
    2 4
    3 9
    11 121
    22 484
    26 676
    101 10201
    111 12321
    121 14641
    202 40804
    212 44944
    264 69696
    1. #include
    2. using namespace std;
    3. int ispal(char *s)
    4. {
    5. char *t;
    6. t = s+strlen(s)-1;
    7. for(t=s+strlen(s)-1; s
    8. if(*s != *t)
    9. return 0;
    10. return 1;
    11. }
    12. void numbconv(char *s, int n, int b)
    13. {
    14. int len;
    15. if(n == 0) {
    16. strcpy(s, "");
    17. return;
    18. }
    19. numbconv(s, n/b, b);
    20. len = strlen(s);
    21. s[len] = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"[n%b];
    22. s[len+1] = '\0';
    23. }
    24. int main(){
    25. char s[20];
    26. char t[20];
    27. int i, base;
    28. freopen("palsquare.in", "r", stdin);
    29. freopen("palsquare.out", "w", stdout);
    30. cin>>base;
    31. for(i=1; i <= 300; i++) {
    32. numbconv(s, i*i, base);
    33. if(ispal(s)) {
    34. numbconv(t, i, base);
    35. cout<" "<
    36. }
    37. }
    38. }

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  • 原文地址:https://blog.csdn.net/GeekAlice/article/details/126927866