[USACO1.5]回文质数 Prime Palindromes
2017-06-15 21:02
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The number 151 is a prime palindrome because it is both a prime number and a palindrome (it is the same number when read forward as backward). Write a program that finds all prime palindromes in the range
of two supplied numbers a and b (5 <= a < b <= 100,000,000); both a and b are considered to be within the range .
HINT 2
Prime Palindromes 回文质数
因为151既是一个质数又是一个回文数(从左到右和从右到左是看一样的),所以 151 是回文质数。
写一个程序来找出范围[a,b](5 <= a < b <= 100,000,000)( 一亿)间的所有回文质数;
PROGRAM NAME: pprime
INPUT FORMAT:
(file pprime.in)
第 1 行: 二个整数 a 和 b .
OUTPUT FORMAT:
(file pprime.out)
输出一个回文质数的列表,一行一个。
Hint 1: Generate the palindromes and see if they are prime. 提示 1: 找出所有的回文数再判断它们是不是质数(素数).
Hint 2: Generate palindromes by combining digits properly. You might need more than one of the loops like below. 提示 2: 要产生正确的回文数,你可能需要几个像下面这样的循环。
产生长度为5的回文数:
【题解】
刚刚写的代码
/*
ID:luojiny1
LANG:C++
TASK:pprime
*/
#include<cstdio>
bool ok(int x)
{
for(int i=2;i*i<=x;i++)
if(x%i==0)return false;
return true;
}
int main()
{
int a,b;
freopen("pprime.in","r",stdin);
freopen("pprime.out","w",stdout);
scanf("%d%d",&a,&b);
if(a<=2&&b>=2)printf("2\n");
if(a<=3&&b>=3)printf("3\n");
if(a<=5&&b>=5)printf("5\n");
if(a<=7&&b>=7)printf("7\n");
if(a<=11&&b>=11)printf("11\n");
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++){//3位
int s=i*101+j*10;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++){//5位
int s=i*10001+j*1010+k*100;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++)
for(int l=0;l<=9;l++){//7位
int s=i*1000001+j*100010+10100*k+l*1000;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++)
for(int l=0;l<=9;l++)
for(int m=0;m<=9;m++){//9位
int s=i*100000001+j*10000010+1000100*k+l*101000+m*10000;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
return 0;
}
long long ago....
#include<cstdio>
int a;
bool pd(int num)
{
for(int i=2;i*i<=num;i++)
if(num%i==0)return false;
return true;
}
int main()
{
int t=0,tt=-1,x,y;
scanf("%d%d",&x,&y);
for(int i=0;i<=11;i++)
if(pd(i)&&i>=x&&i<=y)
printf("%d\n",i);
else if(a>y)return 0;
for(int i1=0;i1<=9;i1++)
for(int i2=0;i2<=9;i2++)
for(int i3=0;i3<=9;i3++)
for(int i4=0;i4<=9;i4++)
for(int i5=0;i5<=9;i5++)
{
if(!i1&&!i2&&!i3)a=i4*101+i5*10;
else if(!i1&&!i2)a=i3*10001+i4*1010+i5*100;
else if(!i1)a=i2*1000001+i3*100010+i4*10100+i5*1000;
else a=i1*100000001+i2*10000010+i3*1000100+i4*101000+10000;
if(pd(a)&&a>=x&&a<=y)
printf("%d\n",a);
else if(a>y)return 0;
}
return 0;
}
说多了都是泪,当年的思路很清晰。。现在堕落了&_& 刷...
of two supplied numbers a and b (5 <= a < b <= 100,000,000); both a and b are considered to be within the range .
PROGRAM NAME: pprime
INPUT FORMAT
Line 1: | Two integers, a and b |
SAMPLE INPUT (file pprime.in)
5 500
OUTPUT FORMAT
The list of palindromic primes in numerical order, one per line.SAMPLE OUTPUT (file pprime.out)
5 7 11 101 131 151 181 191 313 353 373 383
HINTS (use them carefully!)
HINT 1HINT 2
Prime Palindromes 回文质数
[隐藏] |
[编辑]描述
因为151既是一个质数又是一个回文数(从左到右和从右到左是看一样的),所以 151 是回文质数。写一个程序来找出范围[a,b](5 <= a < b <= 100,000,000)( 一亿)间的所有回文质数;
[编辑]格式
PROGRAM NAME: pprimeINPUT FORMAT:
(file pprime.in)
第 1 行: 二个整数 a 和 b .
OUTPUT FORMAT:
(file pprime.out)
输出一个回文质数的列表,一行一个。
[编辑]SAMPLE
INPUT
5 500
[编辑]SAMPLE
OUTPUT
5 7 11 101 131 151 181 191 313 353 373 383
[编辑]提示
HINTS(小心使用 use them carefully!)
Hint 1: Generate the palindromes and see if they are prime. 提示 1: 找出所有的回文数再判断它们是不是质数(素数).Hint 2: Generate palindromes by combining digits properly. You might need more than one of the loops like below. 提示 2: 要产生正确的回文数,你可能需要几个像下面这样的循环。
产生长度为5的回文数:
C++:
for (d1 = 1; d1 <= 9; d1+=2) { // 只有奇数才会是素数 for (d2 = 0; d2 <= 9; d2++) { for (d3 = 0; d3 <= 9; d3++) { palindrome = 10000*d1 + 1000*d2 +100*d3 + 10*d2 + d1;//(处理回文数...) } } }
【题解】
刚刚写的代码
/*
ID:luojiny1
LANG:C++
TASK:pprime
*/
#include<cstdio>
bool ok(int x)
{
for(int i=2;i*i<=x;i++)
if(x%i==0)return false;
return true;
}
int main()
{
int a,b;
freopen("pprime.in","r",stdin);
freopen("pprime.out","w",stdout);
scanf("%d%d",&a,&b);
if(a<=2&&b>=2)printf("2\n");
if(a<=3&&b>=3)printf("3\n");
if(a<=5&&b>=5)printf("5\n");
if(a<=7&&b>=7)printf("7\n");
if(a<=11&&b>=11)printf("11\n");
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++){//3位
int s=i*101+j*10;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++){//5位
int s=i*10001+j*1010+k*100;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++)
for(int l=0;l<=9;l++){//7位
int s=i*1000001+j*100010+10100*k+l*1000;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
for(int i=1;i<=9;i+=2)
for(int j=0;j<=9;j++)
for(int k=0;k<=9;k++)
for(int l=0;l<=9;l++)
for(int m=0;m<=9;m++){//9位
int s=i*100000001+j*10000010+1000100*k+l*101000+m*10000;if(ok(s)&&s>=a&&s<=b)printf("%d\n",s);
}
return 0;
}
long long ago....
#include<cstdio>
int a;
bool pd(int num)
{
for(int i=2;i*i<=num;i++)
if(num%i==0)return false;
return true;
}
int main()
{
int t=0,tt=-1,x,y;
scanf("%d%d",&x,&y);
for(int i=0;i<=11;i++)
if(pd(i)&&i>=x&&i<=y)
printf("%d\n",i);
else if(a>y)return 0;
for(int i1=0;i1<=9;i1++)
for(int i2=0;i2<=9;i2++)
for(int i3=0;i3<=9;i3++)
for(int i4=0;i4<=9;i4++)
for(int i5=0;i5<=9;i5++)
{
if(!i1&&!i2&&!i3)a=i4*101+i5*10;
else if(!i1&&!i2)a=i3*10001+i4*1010+i5*100;
else if(!i1)a=i2*1000001+i3*100010+i4*10100+i5*1000;
else a=i1*100000001+i2*10000010+i3*1000100+i4*101000+10000;
if(pd(a)&&a>=x&&a<=y)
printf("%d\n",a);
else if(a>y)return 0;
}
return 0;
}
说多了都是泪,当年的思路很清晰。。现在堕落了&_& 刷...
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