HDU 5878 I Count Two Three

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I Count Two Three

Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 767 Accepted Submission(s): 403

Problem Description

I will show you the most popular board game in the Shanghai Ingress Resistance Team.
It all started several months ago.
We found out the home address of the enlightened agent Icount2three and decided to draw him out.
Millions of missiles were detonated, but some of them failed.

After the event, we analysed the laws of failed attacks.
It's interesting that the i-th attacks failed if and only if i can be rewritten as the form of 2a3b5c7d which a,b,c,d are non-negative integers.

At recent dinner parties, we call the integers with the form 2a3b5c7d "I Count Two Three Numbers".
A related board game with a given positive integer n from one agent, asks all participants the smallest "I Count Two Three Number" no smaller than n.

Input

The first line of input contains an integer t (1≤t≤500000), the number of test cases. t test cases follow. Each test case provides one integer n (1≤n≤109).

Output

For each test case, output one line with only one integer corresponding to the shortest "I Count Two Three Number" no smaller than n.

Sample Input

123

1234

12345

123456

1234567

12345678

123456789

Sample Output

125

1250

12348

123480

1234800

12348000

123480000

Source

2016 ACM/ICPC Asia Regional Qingdao Online

解析：预处理得到满足条件的数，再二分查询。预处理可参考http://blog.csdn.net/coder_xia/article/details/6707600。

#include <cstdio>

#include <algorithm>

#define ll long long

using namespace std;

ll a[10000];

void get(int n)

{

    a[0] = 1;

    int n2 = 0;

    int n3 = 0;

    int n5 = 0;

    int n7 = 0;

    int cnt = 1;

    while(cnt < n){

        ll t1 = min(a[n2]*2, a[n3]*3);

        ll t2 = min(a[n5]*5, a[n7]*7);

        ll t = min(t1, t2);

        if(t == a[n2]*2)

            ++n2;

        if(t == a[n3]*3)

            ++n3;

        if(t == a[n5]*5)

            ++n5;

        if(t == a[n7]*7)

            ++n7;

        a[cnt++] = t;

    }

}

int main()

{

    get(5200);

    int t, n;

    scanf("%d", &t);

    while(t--){

        scanf("%d", &n);

        printf("%I64d\n", *lower_bound(a, a+5219, n));

    }

    return 0;

}