USACO Section 1.2.5 Palindromic Squares


此页面通过工具从 csdn 导出,格式可能有问题。

题目

Palindromic Squares
Rob Kolstad

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

Given a number base B (2 <= B <= 20 base 10), 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.

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

思路

其实这个题目很简单,可是为毛我做了好久呢?其实,主要是我一贯试用cpp的string,这会想练练纯c,突然发现这玩意好繁琐。。又加上边聊边写,于是乎一道水题搞了一个多小时。

学习:
malloc(sizeof(char)*100); // 不清零
calloc(100,sizeof(char)); // 清零
然后,没了。

代码

#include <cstdio>
#include <cstring>
#include <cstdlib>
const int dr[22]={'0','1','2','3','4','5','6','7','8','9','A','B','C','D','E','F','G','H','I','J','K'};
const int N=300;
int n;
char * mir(char *a){
	int l=strlen(a);
	char *b=(char*)calloc(22,sizeof(char));
	for (int i(0);i<l;i++) b[i]=a[l-i-1];
	b[l]='\0';
	return b;
}
char * base(int k,int n){
	char *s=(char*)calloc(22,sizeof(char));
	while (k){
		int l=strlen(s);
		s[l]=dr[k%n];
		s[l+1]='\0';
		k/=n;
	}
	return mir(s);
}
int main(){
	freopen("palsquare.in","r",stdin);
	freopen("palsquare.out","w",stdout);
	scanf("%d",&n);
	for (int i(1);i<=N;i++){
		char *b1=base(i,n);
		char *b2=base(i*i,n);
		if (!strcmp(b2,mir(b2))){
		   printf("%s %s\n",b1,b2);
		}
	}
	return 0;
}


Avatar
huiren
Code Artisan

问渠那得清如许,为有源头活水来

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