HDU 1089.Ignatius's puzzle【數學題】【2016年1月2】
阿新 • • 發佈:2018-12-26
Ignatius's puzzle
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)ifno 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 題意很明確,只要符合題意的x存在就行,不妨令x=1,然後直接計算。程式碼如下:
#include<iostream> using namespace std; int main() { int k; while(cin >> k) { int f[70] = {0}; bool flag = false; for(int i = 1;; ++i) { if((i*k+18) % 65 == 0) { cout << i << endl; flag = true; break; } if(f[(i*k+18)%65]) break;//產生迴圈 f[(i*k+18)%65] = 1;//標記 } if(!flag) cout <<"no"<<endl; } return 0; }