Given an array A of size N [], the group M given relationship, so you rearrangement A [], so that the difference in the absolute sum {M} minimum team relationship. First, a sort , followed by a fill in the array.
Suppose there are x i in a binary 1, with DP [i] Update dp [i | (1 << j)], it indicates that the a [x + 1] fill in the j-th position. Noticed a [] already sorted, then a [x] contribution is: + before the number of filled * a [x] - Motian number * a [x];
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; const int N=20; int a[N],p[N],e[N]; ll f[1<<N]; int main(){ int n,m; while(scanf("%d%d",&n,&m)!=EOF) { for(int i=0;i<n;i++) scanf("%d",&a[i]); sort(a,a+n); //重排,然后依次填入 for(int i=0;i<n;i++) { e[i]=0; p[i]=0; } for(int i=0;i<m;i++) { int a,b; scanf("%d%d",&a,&b); a--;b--; p[a]|=1<<b;p[b]|=1<<a; E [A] ++, E [B] ++ ; } F [ 0 ] = 0 ; for ( int I = . 1 ; I <( . 1 << n-); I ++ ) { F [I] = 1e12; int K __ builtin_popcount = (I) - . 1 ; it represents a mapping // a [k] for ( int J = 0 ; J <n-; J ++ ) { IF (I & ( . 1 << J)) {// represents a [k ] posj fill in the F [I] = min (F [I], F [I ^ ( . 1<<j)]+1LL*a[k]*(__builtin_popcount(p[j]&i)*2-e[j])); } } } printf("%lld\n",f[(1<<n)-1]); } return 0; }
The meaning of problems: the relationship between a given team M (ai, bi), so you rearrangement, the positional relationship such that {} minimum sum of absolute values.
Enumeration is the last one who still fill, then this is a contribution to meet the (ai already filled, bi not filled) number.
#include<bits/stdc++.h> #define rep(i,a,b) for(int i=a;i<=b;i++) using namespace std; const int maxn=2000010; char c[maxn]; int dp[maxn],f[30][30]; int main() { int N,M; scanf("%d%d%s",&N,&M,c+1); memset(dp,0x3f,sizeof(dp)); rep(i,1,N-1) f[c[i]-'a'][c[i+1]-'a']++,f[c[i+1]-'a'][c[i]-'a']++; dp[0]=0; rep(i,0,(1<<M)-1){ int t=0; rep(j,0,M-1) { if(i&(1<<j)){ rep(k,0,M-1) if(!(i&(1<<k))) t+=f[j][k]; } } rep(j,0,M-1) if(!(i&(1<<j))) dp[i|(1<<j)]=min(dp[i|(1<<j)],dp[i]+t); } printf("%d\n",dp[(1<<M)-1]); return 0; }