Repair the Wall
Time Limit : 5000/1000ms (Java/Other) Memory Limit : 32768/32768K (Java/Other)
Total Submission(s) : 2 Accepted Submission(s) : 2
Font: Times New Roman | Verdana | Georgia
Font Size: ← →
Problem Description
Long time ago , Kitty lived in a small village. The air was fresh and the scenery was very beautiful. The only thing that troubled her is the typhoon.
When the typhoon came, everything is terrible. It kept blowing and raining for a long time. And what made the situation worse was that all of Kitty's walls were made of wood.
One day, Kitty found that there was a crack in the wall. The shape of the crack is
a rectangle with the size of 1×L (in inch). Luckly Kitty got N blocks and a saw(锯子) from her neighbors.
The shape of the blocks were rectangle too, and the width of all blocks were 1 inch. So, with the help of saw, Kitty could cut down some of the blocks(of course she could use it directly without cutting) and put them in the crack, and the wall may be repaired perfectly, without any gap.
Now, Kitty knew the size of each blocks, and wanted to use as fewer as possible of the blocks to repair the wall, could you help her ?
When the typhoon came, everything is terrible. It kept blowing and raining for a long time. And what made the situation worse was that all of Kitty's walls were made of wood.
One day, Kitty found that there was a crack in the wall. The shape of the crack is
a rectangle with the size of 1×L (in inch). Luckly Kitty got N blocks and a saw(锯子) from her neighbors.
The shape of the blocks were rectangle too, and the width of all blocks were 1 inch. So, with the help of saw, Kitty could cut down some of the blocks(of course she could use it directly without cutting) and put them in the crack, and the wall may be repaired perfectly, without any gap.
Now, Kitty knew the size of each blocks, and wanted to use as fewer as possible of the blocks to repair the wall, could you help her ?
Input
The problem contains many test cases, please process to the end of file( EOF ).
Each test case contains two lines.
In the first line, there are two integers L(0<L<1000000000) and N(0<=N<600) which
mentioned above.
In the second line, there are N positive integers. The ith integer Ai(0<Ai<1000000000 ) means that the ith block has the size of 1×Ai (in inch).
Each test case contains two lines.
In the first line, there are two integers L(0<L<1000000000) and N(0<=N<600) which
mentioned above.
In the second line, there are N positive integers. The ith integer Ai(0<Ai<1000000000 ) means that the ith block has the size of 1×Ai (in inch).
Output
For each test case , print an integer which represents the minimal number of blocks are needed.
If Kitty could not repair the wall, just print "impossible" instead.
If Kitty could not repair the wall, just print "impossible" instead.
Sample Input
5 3
3 2 1
5 2
2 1
Sample Output
2 impossible
简单的贪心哦，不要多说把。题目就是说用木头来修墙，求用的最少数量，记住木头还可以距断的。
所以只有当所有木头的总SIZE和小于墙时才是impossible，其他就从大到小求和，直到Len>=墙就
OK了。
1 #include <iostream> 2 using namespace std; 3 int cmp(const void *a, const void *b) 4 { 5 return *((int *)b) - *((int *)a); 6 } 7 int main() 8 { 9 int L, N, i; 10 int a[601], sum, len; 11 while(cin >> L >> N) 12 { 13 for(i = 0; i < N; i++) 14 cin >> a[i]; 15 16 qsort(a, N, sizeof(a[0]), cmp); 17 sum = len = 0; 18 for(i = 0; i < N; i++) 19 if(len < L) 20 { 21 len += a[i]; 22 sum++; 23 } 24 else 25 break; 26 if(len < L) 27 cout << "impossible" << endl; 28 else 29 cout << sum << endl; 30 } 31 return 0; 32 }