hdu---1098Ignatius's puzzle
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Ignatius's puzzle
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5652 Accepted Submission(s): 3878
Problem Description
Ignatius is poor at math,he falls across a puzzle problem,so he has no choice but to appeal to Eddy. this problem describes that:f(x)=5*x^13+13*x^5+k*a*x,input a nonegative integer k(k<10000),to find the minimal nonegative integer a,make the arbitrary integer x ,65|f(x)if
no exists that a,then print "no".
no exists that a,then print "no".
Input
The input contains several test cases. Each test case consists of a nonegative integer k, More details in the Sample Input.
Output
The output contains a string "no",if you can't find a,or you should output a line contains the a.More details in the Sample Output.
Sample Input
11
100
9999
Sample Output
22
no
43
//水题一枚,只要分析清楚题意,找到最小的a ,使得18+k*a 是65的倍数即可!
//对于每一个k,a的枚举量不会超过65,直接枚举计算看其是否满足条件即可。
// 看到题目不要慌,认真分析,有些并没有想象中那么难。
代码:
#include<stdio.h>int main(){ int k,i,temp; while(scanf("%d",&k)!=EOF){ if(k%65==0){ printf("no\n"); continue;} for(i=1;i<=65;i++){ temp=k*i+18; if(temp%65==0){ printf("%d\n",i); break;}} if(i>=66) printf("no\n");} return 0;}
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