【UVa】Headmaster's Headache(状压dp)
http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1758
晕。。。。状压没考虑循环方向然后错了好久。。
这点要注意。。。(其实就是01背包变成了完全背包QAQ
我们将课程拆成两个点,然后状压
那么答案就是(1<<(s<<1))-1
转移就不说了,,,,,太简单。。
#include <cstdio> #include <cstring> #include <cmath> #include <string> #include <iostream> #include <algorithm> #include <queue> #include <set> #include <map> using namespace std; typedef long long ll; #define pii pair<int, int> #define pii pair<int, int> #define mkpii make_pair<int, int> #define pdi pair<double, int> #define mkpdi make_pair<double, int> #define pli pair<ll, int> #define mkpli make_pair<ll, int> #define rep(i, n) for(int i=0; i<(n); ++i) #define for1(i,a,n) for(int i=(a);i<=(n);++i) #define for2(i,a,n) for(int i=(a);i<(n);++i) #define for3(i,a,n) for(int i=(a);i>=(n);--i) #define for4(i,a,n) for(int i=(a);i>(n);--i) #define CC(i,a) memset(i,a,sizeof(i)) #define read(a) a=getint() #define print(a) printf("%d", a) #define dbg(x) cout << (#x) << " = " << (x) << endl #define error(x) (!(x)?puts("error"):0) #define printarr2(a, b, c) for1(_, 1, b) { for1(__, 1, c) cout << a[_][__]; cout << endl; } #define printarr1(a, b) for1(_, 1, b) cout << a[_] << '\t'; cout << endl inline const int getint() { int r=0, k=1; char c=getchar(); for(; c<'0'||c>'9'; c=getchar()) if(c=='-') k=-1; for(; c>='0'&&c<='9'; c=getchar()) r=r*10+c-'0'; return k*r; } inline const int max(const int &a, const int &b) { return a>b?a:b; } inline const int min(const int &a, const int &b) { return a<b?a:b; } const int N=17, oo=0x3f3f3f3f; int f[1<<N], n, m, s, sum[N]; struct dat { int c, s; }a[105], b[105]; void readin(dat arr[], int n) { for1(i, 1, n) { arr[i].s=0; arr[i].c=oo; read(arr[i].c); //dbg(arr[i].c); char ch=getchar(); int r=0; while(ch!='\n' && ch!='\r') { if(ch<'0'||ch>'9') { if(r!=0) arr[i].s|=(3<<((r-1)<<1)); r=0; while(ch<'0'||ch>'9') { ch=getchar(); if(ch=='\n' || ch=='\r') break; } if(ch=='\n' || ch=='\r') break; } r=r*10+ch-'0'; ch=getchar(); } if(r!=0) arr[i].s|=(3<<((r-1)<<1)); //rep(k, s) if(arr[i].s&(3<<(k<<1))) printf("%d ", k+1); //puts(""); } } void Prin(int x) { for3(k, ((s-1)<<1)+1, 0) { printf("%d", (bool)(x&(1<<k))); if((k&1)==0) printf(" "); } puts(""); } int main() { read(s); read(n); read(m); while(s) { int all=(1<<(s<<1))-1; CC(f, 0x3f); CC(sum, 0); readin(a, n); readin(b, m); int tc=0, tn=0; for1(i, 1, n) rep(k, s) if((a[i].s>>(k<<1))&3) sum[k]++; rep(k, s) if(sum[k]) { int t=1; if(sum[k]>=2) t=3; tc|=(t<<(k<<1)); } for1(i, 1, n) tn+=a[i].c; f[tc]=tn; for1(i, 1, m) { //dbg(i); for3(j, all, 0) if(f[j]!=oo) { int nx=0; //Prin(j); rep(k, s) if(b[i].s&(3<<(k<<1))) { int now=(j>>(k<<1))&3; if(now==0 || now==2) nx|=1<<(k<<1); if(now==1 || now==3) nx|=2<<(k<<1); } f[j|nx]=min(f[j|nx], f[j]+b[i].c); //Prin(nx); Prin(j|nx); puts(""); } } if(f[all]==oo) f[all]=-1; printf("%d\n", f[all]); read(s); read(n); read(m); } return 0; }
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