找到规律,各一个种一棵树。或者施肥。先施肥,先种树一样。
Problem Description
I've bought an orchard and decide to plant some apple trees on it. The orchard seems like an N * M two-dimensional map. In each grid, I can either plant an apple tree to get one apple or fertilize the soil to speed up its neighbors' production. When a grid is fertilized, the grid itself doesn't produce apples but the number of apples of its four neighbor trees will double (if it exists). For example, an apple tree locates on (x, y), and (x - 1, y), (x, y - 1) are fertilized while (x + 1, y), (x, y + 1) are not, then I can get four apples from (x, y). Now, I am wondering how many apples I can get at most in the whole orchardInput
The input contains multiple test cases. The number of test cases T (T<=100) occurs in the first line of input.For each test case, two integers N, M (1<=N, M<=100) are given in a line, which denote the size of the map.Sample Input
For each test case, you should output the maximum number of apples I can obtain.
Output
- 2
- 2 2
- 3 3
Sample Output
- 8
- 32
- #include <algorithm>
- #include <iostream>
- #include <stdlib.h>
- #include <string.h>
- #include <iomanip>
- #include <stdio.h>
- #include <string>
- #include <queue>
- #include <cmath>
- #include <stack>
- #include <map>
- #include <set>
- #define eps 1e-12
- ///#define M 1000100
- #define LL __int64
- ///#define LL long long
- ///#define INF 0x7ffffff
- #define INF 0x3f3f3f3f
- #define PI 3.1415926535898
- #define zero(x) ((fabs(x)<eps)?0:x)
- using namespace std;
- const int maxn = 110;
- int mp[maxn][maxn];
- int main()
- {
- int n, m;
- int T;
- cin >>T;
- while(T--)
- {
- scanf("%d %d",&n, &m);
- memset(mp, 0, sizeof(mp));
- for(int i = 1; i <= n; i++)
- {
- if(i%2)
- {
- for(int j = 1; j <= m; j += 2)
- mp[i][j] = 1;
- }
- else
- {
- for(int j = 2; j <= m; j+= 2)
- mp[i][j] = 1;
- }
- }
- LL sum = 0;
- for(int i = 1; i <= n; i++)
- {
- for(int j = 1; j <= m; j++)
- {
- if(mp[i][j]) continue;
- int cnt = 0;
- if(i-1 >= 1) if(mp[i-1][j]) cnt ++;
- if(i+1 <= n) if(mp[i+1][j]) cnt ++;
- if(j-1 >= 1) if(mp[i][j-1]) cnt++;
- if(j+1 <= m) if(mp[i][j+1]) cnt++;
- sum += (1LL<<cnt);
- }
- }
- if(sum == 0)
- sum++;
- cout<<sum<<endl;
- }
- }
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