http://acm.hust.edu.cn/vjudge/contest/view.action?cid=121183#problem/G
Description
Kolya is developing an economy simulator game. His most favourite part of the development process is in-game testing. Once he was entertained by the testing so much, that he found out his game-coin score become equal to 0.
Kolya remembers that at the beginning of the game his game-coin score was equal to n and that he have bought only some houses (for 1 234 567 game-coins each), cars (for 123 456 game-coins each) and computers (for 1 234 game-coins each).
Kolya is now interested, whether he could have spent all of his initial n game-coins buying only houses, cars and computers or there is a bug in the game. Formally, is there a triple of non-negative integers a, b and c such that a × 1 234 567 + b × 123 456 + c × 1 234 = n?
Please help Kolya answer this question.
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 109) — Kolya's initial game-coin score.
Output
Print "YES" (without quotes) if it's possible that Kolya spent all of his initial n coins buying only houses, cars and computers. Otherwise print "NO" (without quotes).
Sample Input
1359257
YES
17851817
NO
不思考的暴力 超时
一个技巧减少一层循环
#include<iostream>
#include<iomanip>
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<cmath>
using namespace std;
typedef long long ll;
int main(){
ll n;
while(cin>>n){
int a=n/1234567;
int b=n/123456;
int c=n/1234;
int flag=0;
for(int i=0;i<=a+1;++i){
for(int j=0;j<=b+1;++j){
if(((ll)n-(ll)i*1234567-(ll)j*123456)>=0&&((ll)n-(ll)i*1234567-(ll)j*123456)%1234==0){flag=1;goto aaa;}//@1
}
}
aaa:;
if(!flag)cout<<"NO\n";
else cout<<"YES\n";
}
return 0;
}
@1 如果此处再把c循环一遍一定超时