HDU 3006 The Number of set
2016-05-07 19:56
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Problem Description
Given you n sets.All positive integers in sets are not less than 1 and not greater than m.If use these sets to combinate the new set,how many different new set you can get.The given sets can not be broken.
Input
There are several cases.For each case,the first line contains two positive integer n and m(1<=n<=100,1<=m<=14).Then the following n lines describe the n sets.These lines each contains k+1 positive integer,the first which is k,then k integers are given. The
input is end by EOF.
Output
For each case,the output contain only one integer,the number of the different sets you get.
Sample Input
4 4
1 1
1 2
1 3
1 4
2 4
3 1 2 3
4 1 2 3 4
Sample Output
15
2
简单状态压缩dp
Given you n sets.All positive integers in sets are not less than 1 and not greater than m.If use these sets to combinate the new set,how many different new set you can get.The given sets can not be broken.
Input
There are several cases.For each case,the first line contains two positive integer n and m(1<=n<=100,1<=m<=14).Then the following n lines describe the n sets.These lines each contains k+1 positive integer,the first which is k,then k integers are given. The
input is end by EOF.
Output
For each case,the output contain only one integer,the number of the different sets you get.
Sample Input
4 4
1 1
1 2
1 3
1 4
2 4
3 1 2 3
4 1 2 3 4
Sample Output
15
2
简单状态压缩dp
#include<cmath> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; typedef long long LL; const double pi = acos(-1.0); const int low(int x) { return x&-x; } const int INF = 0x7FFFFFFF; const int mod = 1e9 + 7; const int maxn = 1e5 + 10; int n, m, x, y, z; int dp[maxn]; int main() { while (scanf("%d%d", &n, &m) != EOF) { for (int i = dp[0] = 1; i < (1 << m); i++) dp[i] = 0; while (n--) { scanf("%d", &x); z = 0; while (x--) { scanf("%d", &y); z |= 1 << y - 1; } for (int i = 0; i < (1 << m); i++) dp[i | z] = dp[i] | dp[i | z]; } int ans = 0; for (int i = 1; i < (1 << m); i++) ans += dp[i]; printf("%d\n", ans); } return 0; }
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