HDU 6216 A Cubic number and A Cubic Number
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题目链接:HDU 6216
A Cubic number and A Cubic Number
Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 174 Accepted Submission(s): 109
Problem Description
A cubic number is the result of using a whole number in a multiplication three times. For example, 3×3×3=27 so 27 is a cubic number. The first few cubic numbers are 1,8,27,64 and 125 . Given an prime number p . Check that if p is a difference of two cubic numbers.
Input
The first of input contains an integer T (1≤T≤100) which is the total number of test cases.
For each test case, a line contains a prime numberp (2≤p≤1012) .
For each test case, a line contains a prime number
Output
For each test case, output 'YES' if given p is a difference of two cubic numbers, or 'NO' if not.
Sample Input
102357111317192329
Sample Output
NONONOYESNONONOYESNONO
Source
2017 ACM/ICPC Asia Regional Qingdao Online
题意:给一个质数,问是否是2个立方数的差。
题目分析:太搞笑了这题我们(-3)(内心mmp),,,立方差公式展开发现x和y差1,然后最多就1e6种情况,然后打表查询,然后就没有然后了。
我们WA-2,CE-1
#include <iostream>#include<cstdio>#include<cstring>#include<algorithm>using namespace std;typedef long long ll;ll s[1111111];void init(){ for(ll i=1;i<=1e6;i++) { s[i]=i*i*3+3*i+1LL; }}int T,n;int main(){ init(); scanf("%d",&T); while(T--) { ll n; cin>>n; int flag=0; for(int i=1;i<=1e6;i++) { if(s[i]>=1e12) break; if(s[i]>n) break; if(s[i]==n) { flag=1; break; } } if(flag==1) printf("YES\n"); else printf("NO\n"); }}
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