ZOJ Problem Set - 1025
2011-01-18 23:51
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Wooden Sticks
Time Limit: 1 Second Memory Limit: 32768 KB
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick. The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows:
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case, and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
Output
The output should contain the minimum setup time in minutes, one per line.
Sample Input
3
5
4 9 5 2 2 1 3 5 1 4
3
2 2 1 1 2 2
3
1 3 2 2 3 1
Output for the Sample Input
2
1
3
这题用贪心算法可以实现全局最优。排个序,然后就能看出,每次找出的子序列都是无争议的最终情况。
搞个循环,把所有子序列都找出即可。
Time Limit: 1 Second Memory Limit: 32768 KB
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick. The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows:
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case, and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
Output
The output should contain the minimum setup time in minutes, one per line.
Sample Input
3
5
4 9 5 2 2 1 3 5 1 4
3
2 2 1 1 2 2
3
1 3 2 2 3 1
Output for the Sample Input
2
1
3
#include <stdio.h> #include <iostream> using namespace std; int s[5000][2]; void sort(int N) { int i, j, t[2]; for(i=1; i<N; i++) { t[0] = s[i][0]; t[1] = s[i][1]; for(j=i-1; j>=0; j--) { if(t[0] < s[j][0] || t[0] == s[j][0] && t[1] < s[j][1]) { s[j+1][0] = s[j][0]; s[j+1][1] = s[j][1]; } else break; } s[j+1][0] = t[0]; s[j+1][1] = t[1]; } } int main() { int T; cin >> T; for(int t=0; t<T; t++) { int N; cin >> N; for(int n=0; n<N; n++) cin >> s [0] >> s [1]; sort(N); int count = 0; while(1) { int i = 0; while(i<N && s[i][0] == -1) i++; if(i==N) break; int cur[2]; cur[0] = s[i][0]; cur[1] = s[i][1]; s[i][0] = -1; for(; i<N; i++) { if(s[i][0] != -1 && s[i][0] >= cur[0] && s[i][1] >= cur[1]) { cur[0] = s[i][0]; cur[1] = s[i][1]; s[i][0] = -1; } } count ++; } cout << count << endl; } return 0; }
这题用贪心算法可以实现全局最优。排个序,然后就能看出,每次找出的子序列都是无争议的最终情况。
搞个循环,把所有子序列都找出即可。
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