UVALive 6858 Frame （模拟）

Frame

题目链接：

http://acm.hust.edu.cn/vjudge/contest/130303#problem/D

Description

http://7xjob4.com1.z0.glb.clouddn.com/17e6574035df3f9b6d1fc6dfd8b650ac

Input

The input file contains several test cases, each of them as described below.
The first line contains 2 integers — X and Y (3 ≤ X ≤ 10^6, 3 ≤ Y ≤ 10^6). The second line
contains integer N — the number of tile types to be analyzed (1 ≤ N ≤ 1000). Each of following N
lines contains one integer, not exceeding 10^6. We designate with AK the integer on the (k + 2)-th line of the input file.

Output

For each test case, your goal is to print N lines, where the K-th line should contain the word ‘YES’, if it is possible to tile the frame with size X × Y with tiles AK × 1, and the word ‘NO’ otherwise.

Sample Input

```
5 6
2
3
4
```

Sample Output

```
YES
NO
```

Source

2016-HUST-线下组队赛-4


##题意：

在X*Y的矩形的最外圈放若干个 A*1 的小矩形，判断对于给定的A能够恰好完全覆盖.


##题解：

考虑最上面一行的情况，第一块小矩形要么从#(1,1)开始，要么从#(1,2)开始(留出第一格给竖的矩形).
确定第一块的位置后，后面的摆放情况是固定的，所以依次判断一下是否合法即可.


##代码：
``` cpp
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#define LL long long
#define maxn 101000
#define inf 0x3f3f3f3f
#define mod 1000000007
#define mid(a,b) ((a+b)>>1)
#define eps 1e-8
#define IN freopen("in.txt","r",stdin);
using namespace std;

int n;

int x,y;

bool solve(int a) {

int last1 = x % a;

if(last1 > 1) return 0;

if(last1 == 1) {

int last2 = y % a;

if(last2 > 1) return 0;

if(last2 == 1) return 1;

if(last2 == 0) return (y-2) % a == 0;

}

if(last1 == 0) {

int last2 = (y-1) % a;

if(last2 > 1) return 0;

if(last2 == 1) return 1;

if(last2 == 0) return (x-2) % a == 0;

}

}

bool solve2(int a) {

int last1 = (x-1) % a;

if(last1 > 1) return 0;

if(last1 == 1) {

int last2 = y % a;

if(last2 > 1) return 0;

if(last2 == 0) return 1;

if(last2 == 1) return x % a == 0;

}

if(last1 == 0) {

int last2 = (y-1) % a;

if(last2 > 1) return 0;

if(last2 == 0) return 1;

if(last2 == 1) return y % a == 0;

}

}

int main()

{

//IN;

while(scanf("%d %d", &x,&y) != EOF)
{
    swap(x,y);
    int n; scanf("%d", &n);
    while(n--) {
        int a; scanf("%d", &a);
        if(solve(a) || solve2(a)) puts("YES");
        else puts("NO");
    }
}

return 0;

}