text
stringlengths
49
983k
#include <cstdio> #include <bitset> #include <cstring> #include <iostream> #include <algorithm> using namespace std; typedef long long LL; const int maxn = 15; const int inf = 0x3f3f3f3f; int mmap[maxn][maxn]; LL in[1 << maxn]; LL dp[1 << maxn][maxn]; int n, m; int main() { scanf("%d%d", &n, &m); for (int i = 0, f, t, d; i < m; ++i) { scanf("%d%d%d", &f, &t, &d); mmap[t - 1][f - 1] = mmap[f - 1][t - 1] = d; } for (int i = 0; i < (1 << n); ++i) for (int j = 0; j < n; ++j) if (i & (1 << j)) for (int k = j + 1; k < n; ++k) if (i & (1 << k)) in[i] += mmap[j][k]; for (int i = 0; i < (1 << n); ++i) for (int j = 0; j < n; ++j) dp[i][j] = -inf; for (int i = 0; i < (1 << n); ++i) { for (int j = 0; j < n; ++j) { if (i & (1 << j)) { if (!j) dp[i][j] = in[i]; else { for (int k = 0; k < n; ++k) if (j != k && (i & (1 << k)) && mmap[k][j]) dp[i][j] = max(dp[i][j], dp[i ^ (1 << j)][k] + mmap[k][j]); for (int tmp = (i ^ (1 << j)), k = tmp; k; k = (k - 1) & tmp) dp[i][j] = max(dp[i][j], dp[i ^ k][j] + in[k | (1 << j)]); } } } } // cout << in[(1 << n) - 1] << endl; printf("%lld\n", in[(1 << n) - 1] - dp[(1 << n) - 1][n - 1]); return 0; }
#include <bits/stdc++.h> #define maxn 20 using namespace std; int n,m,dis[maxn][maxn],sum; int dp[1<<maxn][maxn],s[1<<maxn]; int main() { scanf("%d %d",&n,&m); memset(dis,0,sizeof(dis)); sum=0; for (int i=1;i<=m;i++) { int a,b,c; scanf("%d %d %d",&a,&b,&c); a--; b--; dis[a][b]=c; dis[b][a]=c; sum+=c; } for (int i=0;i<(1<<n);i++) { for (int j=0;j<n;j++) for (int k=j+1;k<n;k++) if ((i>>j)%2==1&&(i>>k)%2==1) s[i]+=dis[j][k]; } memset(dp,-1,sizeof(dp)); dp[1][0]=0; for (int i=0;i<(1<<n);i++) { for (int j=0;j<n;j++) { if (dp[i][j]==-1) continue; for (int t=0;t<n;t++) { if ((i>>t)%2==1||dis[j][t]==0) continue; dp[i|(1<<t)][t]=max(dp[i|(1<<t)][t],dp[i][j]+dis[j][t]); } int x=(1<<n)-1-i; for (int y=x;y>=1;y=(y-1)&x) dp[i|y][j]=max(dp[i|y][j],dp[i][j]+s[y|(1<<j)]); } } printf("%d\n",sum-dp[(1<<n)-1][n-1]); return 0; }
#pragma GCC optimize(1) #pragma GCC optimize(2) #pragma GCC optimize(3) #include<bits/stdc++.h> using namespace std; #define chmax(a,b) if(a<b)a=b const int N=17; int n,m; int g[N][N]; int cost[1<<N]; int dp[N][1<<N],dp2[1<<N]; int main() { scanf("%d%d",&n,&m); while(m--) { int u,v,w; scanf("%d%d%d",&u,&v,&w); u--; v--; g[u][v]=g[v][u]=w; } for(int mask=0;mask<(1<<n);mask++) for(int u=0;u<n;u++) for(int v=u+1;v<n;v++) if(mask&(1<<u) && mask&(1<<v)) cost[mask]+=g[u][v]; memset(dp,-1,sizeof(dp)); for(int mask=1;mask<(1<<n);mask+=2) dp[0][mask]=cost[mask]; for(int mask=1;mask<(1<<(n-1));mask+=2) for(int i=0;i<n-1;i++) if(dp[i][mask]!=-1) for(int j=0;j<n;j++) if(g[i][j] && !(mask&(1<<j))) chmax(dp[j][mask|(1<<j)],dp[i][mask]+g[i][j]); memset(dp2,-1,sizeof(dp2)); for(int mask=1;mask<(1<<n);mask+=2) dp2[mask]=dp[n-1][mask]; for(int mask=1+(1<<(n-1));mask<(1<<n);mask+=2) if(dp2[mask]!=-1) for(int i=0;i<n;i++) if(mask&(1<<i)) { int _=(1<<n)-1-mask; for(int mask2=_;mask2>0;mask2=(mask2-1)&_) chmax(dp2[mask|mask2],dp2[mask]+cost[mask2|(1<<i)]); } printf("%d\n",cost[(1<<n)-1]-dp2[(1<<n)-1]); return 0; }
#include<bits/stdc++.h> using namespace std; const int INF = 1e9; const int MAXN = 15; int N; int W[MAXN][MAXN]; int V[1<<MAXN]; int dp[1<<MAXN][MAXN]; int main() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); int M; cin >> N >> M; int tot = 0; for (int i = 0; i < M; i++) { int a, b, c; cin >> a >> b >> c; a--, b--; W[a][b] = W[b][a] = c; tot += c; } for (int m = 0; m < (1<<N); m++) { for (int i = 0; i < N; i++) { for (int j = i+1; j < N; j++) { if ((m & (1 << i)) && (m & (1 << j))) { V[m] += W[i][j]; } } } } for (int m = 1; m < (1 << N); m += 2) { dp[m][0] = V[m]; for (int i = 1; i < N; i++) { dp[m][i] = -INF; } for (int v = (m-2) & m; true; v = (v-2) & m) { assert(v & 1); assert((m&v) == v); for (int i = 1; i < N; i++) { if (!((m^v) & (1 << i))) continue; for (int j = 0; j < N; j++) { if (!(v & (1 << j))) continue; if (W[i][j] == 0) continue; dp[m][i] = max(dp[m][i], dp[v][j] + V[m^v] + W[i][j]); } } if (v == 1) break; } } cout << tot - dp[(1<<N)-1][N-1] << '\n'; return 0; }
#include <cstdio> #include <string> #include <cstring> #include <iostream> #include <algorithm> using namespace std; typedef long long ll; const int N=17; const int M=(1<<15)+2; int dp[M][N],E[N][N],sum[M],all,n,m; template <typename _Tp> inline void IN(_Tp&x) { char ch;bool flag=0;x=0; while(ch=getchar(),!isdigit(ch)) if(ch=='-') flag=1; while(isdigit(ch)) x=x*10+ch-'0',ch=getchar(); if(flag) x=-x; } inline void addedge(int u=0,int v=0,int w=0) {IN(u),IN(v),IN(w),--u,--v,all+=w,E[u][v]=E[v][u]=w;} int main() { IN(n),IN(m); for(int i=1;i<=m;++i) addedge(); int lim=1<<n; for(int S=1;S<lim;++S) for(int i=0;i<n;++i) if(S&(1<<i)) for(int j=i+1;j<n;++j) if(S&(1<<j)) sum[S]+=E[i][j]; for(int S=0;S<lim;++S) for(int t=0;t<n;++t) dp[S][t]=-1e9; dp[1][0]=0; for(int S=1;S<lim;++S) for(int t=0;t<n;++t) if(S&(1<<t)) { for(int u=0;u<n;++u) if(!(S&(1<<u))&&E[t][u]) dp[S|(1<<u)][u]=max(dp[S|(1<<u)][u],dp[S][t]+E[t][u]); int P=(lim-1)^S; for(int T=P;T;T=(T-1)&P) dp[S|T][t]=max(dp[S|T][t],dp[S][t]+sum[T|(1<<t)]); } printf("%d\n",all-dp[lim-1][n-1]); return 0; }
#include <bits/stdc++.h> int n,m,x,y,z; int a[20][20],sum,dp[1<<15][15],f[1<<15]; int main(){ scanf("%d%d",&n,&m); for (int i=1;i<=m;i++){ scanf("%d%d%d",&x,&y,&z); x--,y--; a[x][y]=a[y][x]=z; sum+=z; } for (int i=1;i<1<<n;i++) for (int j=0;j<n;j++) for (int k=j+1;k<n;k++) if ((i&(1<<j))&&(i&(1<<k))) f[i]+=a[j][k]; memset(dp,-1,sizeof(dp)); dp[1][0]=0; int all=(1<<n)-1; for (int i=1;i<1<<n;i+=2){ for (int j=0;j<n;j++) if (i&(1<<j)){ int t=dp[i][j]; if (t==-1) continue; for (int k=0;k<n;k++){ if (i&(1<<k)) continue; if (a[j][k]) dp[i|(1<<k)][k]=std::max(dp[i|(1<<k)][k],t+a[j][k]); } int rest=all^i; for (int k=rest;k;k=(k-1)&rest){ dp[i|k][j]=std::max(dp[i|k][j],t+f[k|(1<<j)]); } } } printf("%d\n",sum-dp[all][n-1]); }
#include <bits/stdc++.h> using namespace std; const int N = 17; const int inf = 1e9; int n, m, a[N][N], f[1 << N][N], sum[1 << N]; int main() { cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v, z; cin >> u >> v >> z; u--; v--; a[u][v] = a[v][u] = z; } for (int i = 1; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) for (int k = j+1; k < n; k++) if (i & (1 << k)) sum[i] += a[j][k]; for (int i = 1; i < (1 << n); i++) for (int j = 0; j < n; j++) f[i][j] = -inf; for (int i = 1; i < (1 << n); i++) if (i & 1) f[i][0] = sum[i]; for (int i = 1; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) for (int k = (i - 1) & i; k > 0; k = (k - 1) & i) if ((k & (1 << j)) == 0) for (int l = 0; l < n; l++) if ((k & (1 << l)) > 0 && a[j][l] > 0) f[i][j] = max(f[i][j], f[k][l] + a[j][l] + sum[i ^ k]); cout << sum[(1 << n) - 1] - f[(1 << n) - 1][n - 1] << endl; return 0; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; ll read(){ ll a=0,b=getchar(),c=1; while(!isdigit(b))c=b=='-'?-1:1,b=getchar(); while(isdigit(b))a=a*10+b-'0',b=getchar(); return a*c; } void gao(int &a,int b){ if(a<b)a=b; } int n,m,sum,a[15][15],g[1<<15],f[1<<15][15]; int main(){ n=read(),m=read(); memset(f,-1,sizeof(f)); f[1][0]=0; for(int i=1;i<=m;i++){ int x=read()-1,y=read()-1,z=read(); sum+=z,a[x][y]=a[y][x]=z; for(int j=0;j<(1<<n);j++) if((j>>x)&(j>>y)&1) g[j]+=z; } for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++) if(~f[i][j]){ for(int k=0;k<n;k++) if(!(i>>k&1)and a[j][k]) gao(f[1<<k|i][k],f[i][j]+a[j][k]); for(int U=((1<<n)-1)^i,k=U;k;k=(k-1)&U) gao(f[i|k][j],f[i][j]+g[1<<j|k]); } printf("%d",sum-f[(1<<n)-1][n-1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16, inf = 2e9; int n, m; int f[N][1 << N], g[N][1 << N], a[1 << N]; int G[N][N], ans; int main() { scanf("%d %d", &n, &m); for(int i = 1; i <= m; i++) { int x, y, t; scanf("%d %d %d", &x, &y, &t); G[x][y] = G[y][x] = t; ans += t; } for(int s = 0; s < (1 << n); s++) for(int i = 1; i <= n; i++) if(s & (1 << i - 1)) for(int j = i + 1; j <= n; j++) if(s & (1 << j - 1)) a[s] += G[i][j]; for(int s = 0; s < (1 << n); s++) for(int i = 1; i <= n; i++) g[i][s] = f[i][s] = -inf; for(int s = 1; s < (1 << n); s++) if(s & 1) f[1][s] = a[s]; for(int s = 1; s < (1 << n); s++) { if(!(s & 1)) continue; for(int i = 2; i <= n; i++) if(s & (1 << i - 1)) for(int t = s; t; t = (t - 1) & s) if((t & (1 << i - 1)) && !(t & 1)) f[i][s] = max(f[i][s], g[i][s ^ t] + a[t]); for(int i = 1; i <= n; i++) if(!(s & (1 << i - 1))) for(int j = 1; j <= n; j++) if(s & (1 << j - 1)) if(G[i][j]) g[i][s] = max(g[i][s], f[j][s] + G[i][j]); } printf("%d", ans - f[n][(1 << n) - 1]); return 0; }
#include<bits/stdc++.h> using namespace std; template<typename T>bool chkmax(T &a,T b){ if(a<b){a=b;return 1;} else return 0; } template<typename T>T read(){ T x=0,f=1;char c=getchar(); for(;!isdigit(c);c=getchar())if(c=='-')f=-1; for(;isdigit(c);c=getchar())x=(x<<3)+(x<<1)+(c^48); return x*f; } const int maxn=1<<15; int n,m,S,sum,ans=2e9,c[15][15],p[maxn],dp[maxn][15]; void init(){ memset(dp,-1,sizeof dp); S=1<<n; for(int s=0;s<S;++s) for(int i=0;i<n;++i){ if(((s>>i)&1)==0)continue; for(int j=i+1;j<n;++j) if((s>>j)&1)p[s]+=c[i][j]; } dp[1][0]=0; } void solve(){ n=read<int>(),m=read<int>(); for(int u,v,w;m--;){ u=read<int>()-1; v=read<int>()-1; w=read<int>(); c[u][v]=c[v][u]=w; sum+=w; } init(); for(int s=0;s<S;++s){ for(int i=0;i<n;++i){ if(!~dp[s][i])continue; int x=((S-1)^s)|(1<<i); for(int t=x;~t;--t) t&=x,chkmax(dp[s|t][i],dp[s][i]+p[t]); for(int j=0;j<n;++j)if((~(s>>j)&1)&&c[i][j]){ chkmax(dp[s|(1<<j)][j],dp[s][i]+c[i][j]); } } } for(int i=0;i<S;++i) ans=min(ans,sum-dp[i][n-1]); printf("%d\n",ans); } int main(){ solve(); return 0; }
#include<iostream> #include<cstdio> #include<cmath> #include<cstring> #include<queue> #include<algorithm> #define eps 1e-10 #define inf 1e9 #define For(i,j,k) for(int i=j;i<=k;++i) #define Dow(i,j,k) for(int i=k;i>=j;--i) #define ll long long using namespace std; inline ll read() { ll t=0,f=1;char c=getchar(); while(c<'0'||c>'9') {if(c=='-') f=-1;c=getchar();} while(c>='0'&&c<='9') t=t*10+c-48,c=getchar(); return t*f; } const int N=(1<<20); int n,m,e[30][30],in[N],to[N][30],dp[N][30]; int x,y,z; int main() { n=read();m=read(); For(i,1,m) { x=read();y=read();z=read(); e[x][y]=e[y][x]=z; } int mx=(1<<(n+1))-1; For(i,1,mx) For(j,1,n) if((i&(1<<j))) For(k,j+1,n) if((i&(1<<k))) in[i]+=e[j][k]; For(i,1,mx) For(j,1,n) { For(k,1,n) if(i&(1<<k)) to[i][j]+=e[j][k]; } For(i,0,mx) For(j,0,n) dp[i][j]=-1; dp[2][1]=0; For(i,2,mx) For(j,1,n)// dp[i][j] to update if(dp[i][j]>=0) if(i&(1<<j)) { For(k,1,n) if(i&(1<<k)) continue; else if(e[j][k]) dp[i|(1<<k)][k]=max(dp[i|(1<<k)][k],dp[i][j]+e[j][k]); int Cu=mx-i; for(int tmp=mx-i;tmp;tmp=(tmp-1)&Cu) { dp[i|tmp][j]=max(dp[i|tmp][j],dp[i][j]+to[tmp][j]+in[tmp]); } } printf("%d\n",in[mx]-dp[mx][n]); }
#include<cstdio> #include<iostream> #include<algorithm> #include<cstring> #include<map> #include<queue> using namespace std; typedef long long ll; const int INF=~0u>>2; int G[16][16],n,dp[1<<16][16],cost[1<<16],m,sum; int read(){ int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-') f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return f*x; } int main(){ // freopen("ex.in","r",stdin); n=read();m=read(); for(int i=1;i<=m;++i){ int x=read(),y=read(),z=read(); x--;y--; G[x][y]=G[y][x]=z; sum+=z; } for(int i=1;i<(1<<n);++i){ for(int j=0;j<n;++j) if(i&(1<<j)){ for(int k=j+1;k<n;++k) if(i&(1<<k)) cost[i]+=G[j][k]; } } for(int i=1;i<(1<<n);++i) for(int j=0;j<n;++j) dp[i][j]=-INF; for(int i=1;i<(1<<n);++i) if(i&1) dp[i][0]=cost[i]; for(int i=1;i<(1<<n);++i){ for(int j=0;j<n;++j){ if(dp[i][j]==-INF) continue; for(int k=(~i)&((1<<n)-1);k>0;k=(k-1)&(~i)){ for(int l=0;l<n;++l) if((k&(1<<l))&&G[j][l]) dp[i|k][l]=max(dp[i|k][l],dp[i][j]+G[j][l]+cost[k]); } } } printf("%d",sum-dp[(1<<n)-1][n-1]); return 0; }
#include "bits/stdc++.h" using namespace std; int main(){ int N,M; cin>>N>>M; vector<vector<int>>edge(N,vector<int>(N)); for(int i=0;i<M;i++){ int a,b,c; cin>>a>>b>>c; a--; b--; edge[a][b]=c; edge[b][a]=c; } vector<int>box(1<<N); for(int i=0;i<1<<N;i++){ for(int j=0;j<N;j++){ if((i>>j)&1){ for(int k=j+1;k<N;k++){ if((i>>k)&1)box[i]+=edge[j][k]; } } } } vector<vector<int>>dp(1<<N,vector<int>(N,-1e9)); for(int i=1;i<1<<N;i+=2)dp[i][0]=box[i]; for(int i=1;i<1<<N;i+=2){ for(int j=0;j<N;j++){ if(!((i>>j)&1))continue; int bag=(1<<N)-1-i; int c=bag; while(c>0){ for(int k=1;k<N;k++){ if(!edge[j][k])continue; if((c>>k)&1) dp[i|c][k]=max(dp[i|c][k],dp[i][j]+edge[j][k]+box[c]); } c--; c&=bag; } } } int ans=0; for(int i=0;i<N;i++){ for(int j=i+1;j<N;j++)ans+=edge[i][j]; } cout<<ans-dp.back().back()<<endl; }
#include <cstdio> #include <cstdlib> #include <algorithm> #include <cstring> const int maxn = 20; const int maxs = (1 << 15) + 1; const int inf = 0x3f3f3f3f; int n, m; int G[maxn][maxn]; int fs; int f[maxs][maxn]; int g[maxs][maxn]; void checkmin(int &x,int y) { if(y < x) x = y; } int main() { scanf("%d%d", &n, &m); for(int i = 1, a, b, c; i <= m; i++) { scanf("%d%d%d", &a, &b, &c); --a, --b; G[a][b] = G[b][a] = c; } fs = (1 << n) - 1; for(int S = 1; S <= fs; S++) for(int i = 0; i < n; i++) { if((S >> i) & 1) continue; for(int j = 0; j < n; j++) if((S >> j) & 1) g[S][i] += G[i][j]; } memset(f, inf, sizeof(f)); f[1][0] = 0; for(int S = 1; S <= fs; S++) for(int i = 0; i < n; i++) if((S >> i) & 1) { for(int s = (S - 1) & S; s; s = (s - 1) & S) if((s >> i) & 1) { int val = 0; for(int j = 0; j < n; j++) if(i != j && ((s >> j) & 1)) val += g[S ^ s][j]; checkmin(f[S][i], f[s][i] + val); } for(int j = 0; j < n; j++) if((S >> j) & 1) { if(!G[j][i]) continue; int s = S ^ (1 << i); checkmin(f[S][i], f[s][j] + g[s ^ (1 << j)][i]); } } printf("%d\n", f[fs][n - 1]); return 0; }
#include <bits/stdc++.h> #define pb push_back #define mp make_pair #define LL long long #define INF 0x3f3f3f3f #define Inf 1000000000000000000LL #define F first #define S second using namespace std; typedef pair<int,int>pii; int n,m; int main(){ ios::sync_with_stdio(false); cin.tie(0); cin>>n>>m; vector<vector<int> >a(n,vector<int>(n,0)); LL total=0; for(int i=0;i<m;i++){ int x,y,z; cin>>x>>y>>z; x--,y--; a[x][y]=a[y][x]=z; total+=z; } const int inf=(int)1e9; vector<int>inside(1<<n); for(int t=0;t<(1<<n);t++) for(int i=0;i<n;i++)if(t&(1<<i)) for(int j=i+1;j<n;j++)if(t&(1<<j)) inside[t]+=a[i][j]; vector<vector<int> >dp(1<<n,vector<int>(n,-1)); for(int t=0;t<(1<<n);t++)if(t&1)dp[t][0]=inside[t]; for(int t=0;t<(1<<n);t++) for(int ii=0;ii<n;ii++){ if(dp[t][ii]==-1)continue; int u=(1<<n)-1-t; while(u>0){ for(int j=0;j<n;j++) if(u&(1<<j))if(a[ii][j]>0) dp[t|u][j]=max(dp[t|u][j],dp[t][ii]+inside[u]+a[ii][j]); u=(u-1)&((1<<n)-1-t); } } cout<<total-dp[(1<<n)-1][n-1]<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; int N,M; int G[20][20],U[110],V[110],W[110]; int Sum[(1<<15)+5],F[(1<<15)+5][20]; int main() { int i,j,k,s; scanf("%d%d",&N,&M); for(i=1; i<=M; i++) { scanf("%d%d%d",&U[i],&V[i],&W[i]); U[i]--,V[i]--; G[U[i]][V[i]]=G[V[i]][U[i]]=W[i]; } for(i=0; i<1<<N; i++) for(j=1; j<=M; j++) if(i>>U[j]&1&&i>>V[j]&1) Sum[i]+=W[j]; memset(F,-0x3f,sizeof(F)); F[1][0]=0; for(i=1; i<1<<N; i++) for(j=0; j<N; j++) if(F[i][j]>=0) { s=(1<<N)-1-i; for(k=s; k; k=(k-1)&s) F[i|k][j]=max(F[i|k][j],F[i][j]+Sum[k|1<<j]); if(~i>>N-1&1) for(k=0; k<N; k++) if(~i>>k&1&&G[j][k]) F[i|1<<k][k]=max(F[i|1<<k][k],F[i][j]+G[j][k]); } printf("%d\n",Sum[(1<<N)-1]-F[(1<<N)-1][N-1]); return 0; }
//created by missever #include<bits/stdc++.h> #define MAX 1000000007 using namespace std; typedef long long LL; typedef pair<int,int> P; int f[1 << 15][15],g[1 << 15]; int p[15][15]; void add(int &x,int y) { x = max(x,y); } int main() { int n,m,i,j,k,u,v,w,s = 0; scanf("%d%d",&n,&m); for(i = 0; i < m; i++) { scanf("%d%d%d",&u,&v,&w); u--; v--; p[u][v] = p[v][u] = w; s += w; } memset(f,-1,sizeof(f)); for(i = 0; i < (1 << n); i++) { for(j = 0; j < n; j++) { if(!((i >> j) & 1)) continue; for(k = j + 1; k < n; k++) { if((i >> k) & 1) g[i] += p[j][k]; } } if(i & 1) f[i][0] = g[i]; } for(i = 0; i < (1 << n); i++) { for(j = 0; j < n; j++) { if(f[i][j] != -1) { for(k = 0; k < n; k++) { if(((i >> k) & 1) || !p[j][k]) continue; add(f[i | (1 << k)][k],f[i][j] + p[j][k]); u = ((1 << n) - 1) ^ i ^ (1 << k); for(v = u; v; v = (v - 1) & u) add(f[i | (1 << k) | v][k],f[i][j] + p[j][k] + g[v | (1 << k)]); } } } } printf("%d\n",s - f[(1 << n) - 1][n - 1]); return 0; }
#include <cstdio> #include <algorithm> int N, M, g[15][15], f[32768][15]; int main() { scanf("%d%d", &N, &M); for (int i = 0, u, v, w; i < M; i++) { scanf("%d%d%d", &u, &v, &w); u--, v--; g[u][v] = g[v][u] = w; } for (int i = 0; i < 1 << N; i++) for (int j = 0; j < N; j++) f[i][j] = 2000000000; for (int i = 1; i < 1 << N; i += 2) f[i][0] = 0; for (int i = 1; i < 1 << N; i++) for (int j = 0; j < N; j++) if (f[i][j] < 2000000000) { static int s[15]; for (int k = 0; k < N; k++) { s[k] = 0; for (int l = 0; l < N; l++) if (i >> l & 1) s[k] += g[k][l]; } for (int k = i; k < 1 << N; k = k + 1 | i) { int S = 0; for (int l = 0; l < N; l++) if (k - i >> l & 1) S += s[l]; for (int l = 0; l < N; l++) if (k - i >> l & 1 && g[j][l]) f[k][l] = std::min(f[k][l], f[i][j] + S - g[j][l]); } } printf("%d\n", f[(1 << N) - 1][N - 1]); return 0; }
#include <cstdio> #include <cstring> #include <cstdlib> #include <algorithm> using namespace std; const int inf = 0x7fffffff; int f[1<<15][15]; int w[1<<15][15]; int map[15][15]; int n, m; void up(int &x, int y) { if(x < y) x = y; } int main() { int i, j, k; scanf("%d%d", &n, &m); int sum = 0; for(i = 1; i <= m; i++){ int x, y, d; scanf("%d%d%d", &x, &y, &d); x--; y--; map[x][y] = map[y][x] = d; sum += d; } for(i = 1; i < 1<<n; i++){ int res = 0; for(j = 0; j < n; j++){ for(k = j+1; k < n; k++) if(i&(1<<j) && i&(1<<k)) res += map[j][k]; } for(j = 0; j < n; j++){ if(i&(1<<j)) continue; w[i][j] = res; for(k = 0; k < n; k++){ if(i&(1<<k)) w[i][j] += map[j][k]; } } } for(j = 0; j < 1<<n; j++) for(i = 0; i < n; i++) f[j][i] = -inf; f[1][0] = 0; for(i = 1; i < 1<<n; i += 2){ for(j = 0; j < n; j++){ if(!(i&(1<<j))) continue; for(k = 0; k < n; k++){ if(i&(1<<k) && j != k && map[j][k] != 0) up(f[i][j], f[i^(1<<j)][k]+map[j][k]); } for(k = (i-1)&i; k; k = (k-1)&i) if(k&(1<<j)) up(f[i][j], f[k][j]+w[i^k][j]); } } printf("%d\n", sum-f[(1<<n)-1][n-1]); return 0; }
#include<bits/stdc++.h> #define For(i,l,r) for(int i = (l),i##end = (r);i <= i##end;i++) #define Fordown(i,r,l) for(int i = (r),i##end = (l);i >= i##end;i--) using namespace std; typedef long long ll; const int INF = 1e9; const int N = 15; int dp[1 << N][N + 1],Sum[1 << N],G[N + 1][N + 1]; inline int read(){ int x = 0,flag = 1; char ch = getchar(); while(!isdigit(ch) && ch != '-')ch = getchar(); if(ch == '-')flag = -1,ch = getchar(); while(isdigit(ch))x = (x << 3) + (x << 1) + ch - '0',ch = getchar(); return x * flag; } int main(){ int n = read(),m = read(),tot = 0; For(i,1,m){ int x = read(),y = read(),z = read(); G[x][y] = G[y][x] = z,tot += z; } For(i,1,(1 << n) - 1){ For(j,1,n)if(i & (1 << (j - 1))) For(k,j + 1,n)if(i & (1 << (k - 1))) Sum[i] += G[j][k]; } memset(dp,-63,sizeof(dp)); dp[1][1] = 0; For(i,1,(1 << n) - 1)For(j,1,n){ int res = dp[i][j]; if(res < 0)continue; For(k,1,n)if(!(i & (1 << (k - 1))) && G[j][k]) dp[i | (1 << (k - 1))][k] = max(dp[i | (1 << (k - 1))][k],res + G[j][k]); int S0 = (1 << n) - 1 - i; for(int S = S0;S;S = (S - 1) & S0) dp[i | S][j] = max(dp[i | S][j],res + Sum[S | (1 << (j - 1))]); } printf("%d\n",tot - dp[(1 << n) - 1][n]); return 0; }
#include<bits/stdc++.h> using namespace std; const int N=15; int n,m,x,y,z,g[1<<N],a[N][N],f[1<<N][N],ans; int main(){ scanf("%d%d",&n,&m); int sum=0; while (m--){ scanf("%d%d%d",&x,&y,&z); sum+=z; x--;y--; a[x][y]=a[y][x]=z; } for (int s=1;s<1<<n;s++) for (int i=0;i<n;i++) if (s&(1<<i)){ g[s]=g[s^(1<<i)]; for (int j=0;j<n;j++) if ((s&(1<<j)))g[s]+=a[i][j]; break; } memset(f,172,sizeof f); f[1][0]=0; for (int s=1;s<1<<n;s++) for (int j=0;j<n;j++) if (f[s][j]>=0){ for (int i=0;i<n;i++) if (!(s&(1<<i))&&a[j][i]) f[s|(1<<i)][i]=max(f[s|(1<<i)][i],f[s][j]+a[j][i]); int sy=((1<<n)-1)^s; for (int i=sy;i;i=(i-1)&sy)f[s|i][j]=max(f[s|i][j],f[s][j]+g[i|(1<<j)]); } int ans=0; for (int i=1;i<1<<n;i++)ans=max(ans,f[i][n-1]); printf("%d",sum-ans); }
#include <bits/stdc++.h> using namespace std; const int INF = 1 << 30; int N, M; int g[17][17]; int lookup[1 << 17]; int dp[1 << 17][16]; vector< int > add[1 << 17]; int rec(int mask, int pre) { if(mask == 0) return (0); if(~dp[mask][pre]) return (dp[mask][pre]); int ret = -INF; for(int i = mask; i > 0; i = (i - 1) & mask) { for(auto &j : add[i]) { if(pre != 15 && g[pre][j] == 0) continue; ret = max(ret, rec(mask ^ i, j) + lookup[i] + g[pre][j]); } } return (dp[mask][pre] = ret); } signed main() { memset(dp, -1, sizeof(dp)); cin >> N >> M; int all = 0; for(int i = 0; i < M; i++) { int a, b, c; cin >> a >> b >> c; --a, --b; g[a][b] = c; g[b][a] = c; all += c; } for(int i = 0; i < 1 << N; i++) { if(i & 1 && (i >> (N - 1)) & 1) continue; for(int j = 0; j < N; j++) { if((i >> j) & 1) { if(i & 1) { if(j == 0) add[i].push_back(j); } else if((i >> (N - 1)) & 1) { if(j == N - 1) add[i].push_back(j); } else { add[i].push_back(j); } for(int k = j + 1; k < N; k++) { if((i >> k) & 1) lookup[i] += g[j][k]; } } } } cout << all - rec((1 << N) - 1, 15) << endl; }
#include <cstdio> #include <cctype> #include <cstring> #include <algorithm> #define rep(i,x,y) for (int i=x; i<=y; ++i) #define repd(i,x,y) for (int i=x; i>=y; --i) int get() { char c; while (!isdigit(c=getchar()) && c!='-'); int s=c=='-'? -1:1,k=~s? c-'0':0; for (; isdigit(c=getchar()); k=k*10+c-'0'); return s*k; } using namespace std; typedef long long ll; const int N=15,S=1<<N|1; int n,m,s,tot,w[N][N],f[S][N],g[S]; int main() { n=get(),m=get(),s=(1<<n)-1; rep(i,1,m) { int u=get()-1,v=get()-1; tot+=w[u][v]=w[v][u]=get(); } rep(i,1,s) { int x=0; for (; !((i>>x)&1); ++x); g[i]=g[i^(1<<x)]; rep(j,x+1,n-1) if ((i>>j)&1) g[i]+=w[x][j]; } memset(f,128,sizeof(f)),f[0][0]=0; rep(k,1,s) { rep(i,0,n-1) if ((k>>i)&1) for (int _=k^(1<<i),j=_; ~j; ~--j? j&=_:0) f[k][i]=max(f[k][i],f[j][i]+g[k^j]); rep(i,0,n-1) if (!((k>>i)&1)) rep(j,0,n-1) if ((k>>j)&1 && w[j][i]) f[k][i]=max(f[k][i],f[k][j]+w[j][i]); } printf("%d",tot-f[s][n-1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n,m; int add[1<<15]; int dp[1<<15][15]; int i,j,k,p; int x,y,z; int mp[15][15]; int main() { cin>>n>>m; while (m--) { cin>>x>>y>>z; mp[x-1][y-1]=z; mp[y-1][x-1]=z; } for (i=0;i<(1<<n);i++) { for (j=0;j<n;j++) { if ((1<<j)&i) { for (k=j+1;k<n;k++) { if ((1<<k)&i) { //cout<<j<<' '<<k<<endl; add[i]+=mp[k][j]; } } } } } memset(dp,-1,sizeof(dp)); dp[1][0]=0; for (i=1;i<(1<<n);i++) { for (j=0;j<n;j++) { if ((1<<j)&i) { if (dp[i][j]!=-1) { for (k=0;k<n;k++) { if (!((1<<k)&i)) { if (mp[j][k]) { dp[i|(1<<k)][k]=max(dp[i|(1<<k)][k],dp[i][j]+mp[j][k]); } } } int bj=((((1<<n)-1)^i)|(1<<j)); for (k=bj;;k=((k-1)&bj)) { dp[i|k][j]=max(dp[i|k][j],dp[i][j]+add[k]); if (!k) break; } } } } } int ans=0; for (i=1;i<(1<<n);i++) ans=max(ans,dp[i][n-1]); //cout<<add[(1<<n)-1]<<endl; cout<<add[(1<<n)-1]-ans<<endl; return 0; }
#include<bits/stdc++.h> #define rep(i, l, r) for(int i = (l), i##end = (r);i <= i##end;++i) using std::cin; using std::cout; const int maxn = 15; int n, m; int f[maxn][1 << maxn]; int edge[maxn][maxn]; int g[1 << maxn]; inline void up(int & x,int y) { if(x < y) { x = y; } } int main() { std::ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; int sum = 0; rep(i, 1, m) { int a, b, c; cin >> a >> b >> c; -- a, -- b; edge[a][b] = c; edge[b][a] = c; for(int j = 0;j < 1 << n;++j) if(j >> a & j >> b & 1) { g[j] += c; } sum += c; } for(int i = 0;i < n;++i) { for(int j = 0;j < 1 << n;++j) { f[i][j] = -1e9; } } for(int i = 1;i < 1 << n;i += 2) f[0][i] = g[i]; for(int j = 0;j < 1 << n;++j) { for(int i = 0;i < n;++i) if(f[i][j] >= 0) { for(int l = 0;l < n;++l) if(edge[i][l] && !(j >> l & 1)) { for(int s = ~(j | 1 << l) & (1 << n) - 1, k = s;k;k = k - 1 & s) { up(f[l][k | j | 1 << l], f[i][j] + edge[i][l] + g[k | 1 << l]); } up(f[l][j | 1 << l], f[i][j] + edge[i][l]); } } } cout << sum - f[n - 1][(1 << n) - 1] << '\n'; }
#include <algorithm> #include <iostream> #include <cstring> #include <cstdio> #include <cmath> using namespace std; template <class T> inline void relax(T &a, const T &b) { if (b > a) a = b; } const int MaxN = 15; const int INF = 0x3f3f3f3f; int n, m; int mat[MaxN][MaxN]; int sum[1 << MaxN]; int result = -INF; int f[1 << MaxN][MaxN]; int main() { cin >> n >> m; for (int i = 0; i < m; ++i) { int u, v, w; cin >> u >> v >> w, --u, --v; mat[u][v] = w; mat[v][u] = w; } int all = 1 << n; for (int s = 1; s < all; ++s) { int u = __builtin_ctz(s); sum[s] = sum[s ^ (s & -s)]; for (int v = u + 1; v < n; ++v) if (s >> v & 1) sum[s] += mat[u][v]; } for (int s = 0; s < all; ++s) for (int u = 0; u < n; ++u) f[s][u] = -INF; f[1][0] = 0; for (int s = 1; s < all; ++s) { for (int u = 0; u < n; ++u) { if (f[s][u] < 0) continue; int ex = (all - 1) ^ s; for (int t = ex; t; --t &= ex) relax(f[s | t][u], f[s][u] + sum[t | 1 << u]); for (int v = 0; v < n; ++v) if (mat[u][v] && ~s >> v & 1) relax(f[s | 1 << v][v], f[s][u] + mat[u][v]); } relax(result, f[s][n - 1]); } cout << sum[all - 1] - result << endl; return 0; }
#pragma GCC optimize(3) #include<bits/stdc++.h> #define ll long long #define F first #define S second #define P pair #define FOR(i,a,b) for(int i=a;i<=b;i++) #define V vector #define RE return #define ALL(a) a.begin(),a.end() #define MP make_pair #define PB push_back #define PF push_front #define FILL(a,b) memset(a,b,sizeof(a)) using namespace std; int er[20],p[20][20],sum[40000],dp[20][40000],n; V<int> v[40000]; int main(){ ios::sync_with_stdio(0); cin.tie(0); int x,y,z,m; cin>>n>>m; FOR(i,1,m){ cin>>x>>y>>z;p[x][y]=p[y][x]=z; } er[0]=1; FOR(i,1,n)er[i]=er[i-1]*2; FOR(i,1,er[n]-1){ FOR(j,1,n)if(i&er[j-1])v[i].PB(j); sum[i]=sum[i^er[v[i][0]-1]]; for(int j=1;j<v[i].size();j++){ sum[i]+=p[v[i][0]][v[i][j]]; } } FOR(i,0,er[n]-1)FOR(j,1,n)dp[j][i]=1000000000; dp[1][1]=0; FOR(mask,1,er[n]-1){ FOR(i,1,n){ if(!(mask&er[i-1])||dp[i][mask]>=1000000000)continue; FOR(j,1,n){ if(mask&er[j-1]||!p[i][j])continue; dp[j][mask^er[j-1]]=min(dp[j][mask^er[j-1]],dp[i][mask]+sum[mask^er[i-1]^er[j-1]]-sum[mask^er[i-1]]); } int s=(er[n]-1)^mask,t=s; while(t){ dp[i][mask^t]=min(dp[i][mask^t],dp[i][mask]+sum[mask^er[i-1]^t]-sum[mask^er[i-1]]-sum[t]); t=(t-1)&s; } } } cout<<dp[n][er[n]-1]<<'\n'; RE 0; }
#include <bits/stdc++.h> using namespace std; constexpr int inf = 0x3f3f3f3f; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n, m; cin >> n >> m; vector<vector<int>> g(n, vector<int>(n)); int sum_w = 0; while (m--) { int u, v, w; cin >> u >> v >> w; --u, --v; g[u][v] = g[v][u] = w; sum_w += w; } vector<int> sum(1 << n); for (int bt = 1; bt < 1 << n; ++bt) { int v = __builtin_ctz(bt); sum[bt] = sum[bt ^ 1 << v]; for (int u = 0; u < n; ++u) { if (bt >> u & 1) { sum[bt] += g[v][u]; } } } vector<vector<int>> dp(n, vector<int>(1 << n, -inf)); for (int bt = 1; bt < 1 << n; bt += 2) { dp[0][bt] = sum[bt]; } for (int bt = 0; bt < 1 << n; ++bt) { for (int v = 0; v < n; ++v) { if (dp[v][bt] == -inf) { continue; } int cbt = bt ^ ~-(1 << n); for (int nxt = cbt; nxt; nxt = (nxt - 1) & cbt) { for (int nv = 0; nv < n; ++nv) { if (nxt >> nv & 1 and g[v][nv]) { dp[nv][bt | nxt] = max(dp[nv][bt | nxt], dp[v][bt] + g[v][nv] + sum[nxt]); } } } } } int res = sum_w - dp.back().back(); cout << res << '\n'; }
#include<bits/stdc++.h> using namespace std; typedef long long ll; ll read(){ ll a=0,b=getchar(),c=1; while(!isdigit(b))c=b=='-'?-1:1,b=getchar(); while(isdigit(b))a=a*10+b-'0',b=getchar(); return a*c; } ll n,m,g[15][15],a[1<<15],dp[15][1<<15]; int main(){ n=read(),m=read(); for(int i=0;i<m;i++){ int x=read()-1,y=read()-1,z=read(); g[x][y]=g[y][x]=z; } for(int i=0;i<1<<n;i++){ a[i]=0; for(int j=0;j<n;j++) for(int k=j+1;k<n;k++) if(i&(1<<j) and i&(1<<k)) a[i]+=g[j][k]; } memset(dp,-0x3f,sizeof(dp)); for(int i=1;i<1<<n;i+=2) dp[0][i]=a[i]; for(int i=0;i<1<<n;i++) for(int j=0;j<n;j++){ if(dp[j][i]<0)continue; ll ab=(1<<n)-1-i; for(int p=ab;p>0;p=(p-1)&ab) for(int k=0;k<n;k++) if(g[j][k] and(p&(1<<k))) dp[k][i+p]=max(dp[k][i+p],dp[j][i]+a[p]+g[j][k]); } ll ans=0; for(int i=0;i<n;i++) for(int j=i+1;j<n;j++) ans+=g[i][j]; printf("%lld",ans-dp[n-1][(1<<n)-1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n,m,N,f[15][1<<15],s[1<<15],e[15][15],ans; void upd(int &x,int y){if (x<y) x=y;} void work() { scanf("%d %d",&n,&m),N=1<<n; for (int i=1,u,v,w; i<=m; i++) scanf("%d %d %d",&u,&v,&w),u--,v--,e[u][v]=e[v][u]=w; for (int i=1; i<N; i++) for (int j=0; j<n; j++) for (int k=j; k<n; k++) if ((i&(1<<j))&&(i&(1<<k))) s[i]+=e[j][k]; memset(f,128,sizeof(f)); f[0][1]=0; for (int i=1; i<N; i+=2) for (int j=0; j<n; j++) if (i&(1<<j)) { int x=N-1-i; for (int k=x; k; k-=x&-x,k&=x) upd(f[j][i|k],f[j][i]+s[k|(1<<j)]); for (int k=0; k<n; k++) if ((x&(1<<k))&&(e[j][k])) upd(f[k][i|(1<<k)],f[j][i]+e[j][k]); if (j==n-1) upd(ans,f[j][i]); } printf("%d",s[N-1]-ans); } int main() { work(); return 0; }
#include<bits/stdc++.h> #define ll long long #define N 20 #define oo 1e9 #define For(i,x,y) for(int i=x;i<=y;i++) #define Rep(i,x,y) for(int i=x;i<y;i++) #define mp make_pair #define pa pair<ll,int> using namespace std; inline int read(){ int x=0,f=0;char ch=getchar(); for(;ch<'0'||ch>'9';ch=getchar()) if(ch=='-') f=1; for(;ch>='0'&&ch<='9';ch=getchar()) x=(x<<1)+(x<<3)+ch-48; return f?-x:x; } int n,m,G[N][N],f[1<<N][N],s[1<<N],sum; int main(){ n=read();m=read(); For(i,1,m){int x=read()-1,y=read()-1;G[x][y]=G[y][x]=read();sum+=G[x][y];} Rep(i,0,1<<n) Rep(j,0,n) if((i>>j)&1) Rep(k,j+1,n) if((i>>k)&1) s[i]+=G[j][k]; Rep(i,0,1<<n) Rep(j,0,n) f[i][j]=-oo; Rep(i,0,1<<n) if(i&1) f[i][0]=s[i]; Rep(i,0,1<<n) Rep(j,0,n) if((i>>j)&1) for(int k=i;k;k=(k-1)&i) if(k&1) Rep(l,0,n) if(((k>>l)&1)&&((~k>>j)&1)&&G[l][j]) f[i][j]=max(f[i][j],f[k][l]+G[l][j]+s[i^k]); printf("%d\n",sum-f[(1<<n)-1][n-1]); return 0; }
#include <bits/stdc++.h> using namespace std; int g[15][15],cr[15][32768],ins[32768],dp[32768][15]; int main (){ int i,j,k,t,u,v,c,l,n,m,s=0; scanf ("%d%d",&n,&m); for (i=1;i<=m;i++) {scanf ("%d%d%d",&u,&v,&c); u--;v--;g[u][v]=g[v][u]=c;s+=c; } for (i=0;i<n;i++) {for (k=0;k<n;k++) {for (j=0;j<(1<<n);j++) {if ((1<<k)&j) {cr[i][j]+=g[i][k];} } } } for (i=0;i<(1<<n);i++) {for (j=0;j<n;j++) {for (k=0;k<n;k++) {if ((1<<j)&i) {if ((1<<k)&i) {ins[i]+=g[j][k];} } } } ins[i]/=2; } memset(dp,-1,sizeof(dp)); dp[1][0]=0; for (i=1;i<(1<<n);i++) {for (j=0;j<n;j++) {if (dp[i][j]<0) {continue;} int tar=i-(1<<j),b=(1<<n)-1-i; for (k=0;k<n;k++) {if (i&(1<<k)) {continue;} if (g[j][k]<=0) {continue;} dp[i+(1<<k)][k]=max(dp[i+(1<<k)][k],dp[i][j]+g[j][k]); } for (t=b;t;t=(t-1)&b) {dp[t|i][j]=max(dp[t|i][j],dp[i][j]+cr[j][t]+ins[t]);} } } int ans=0; for (i=0;i<(1<<n);i++) {ans=max(ans,dp[i][n-1]);} printf ("%d",s-ans); return 0; }
#include<bits/stdc++.h> #define INF 0x3f3f3f3f const int MOD=1e9+7; const double eps=1e-8; typedef long long ll; //orz yht using namespace std; int n,m,edge[15][15],sco[32770]; int dp[15][32770]; int main(){ // freopen(".in","r",stdin); // freopen(".out","w",stdout); cin>>n>>m; for(int i=0;i<m;i++){ int a,b,c; cin>>a>>b>>c; a--; b--; edge[a][b]=edge[b][a]=c; } for(int i=0;i<(1<<n);i++){ sco[i]=0; for(int j=0;j<n;j++){ for(int k=j+1;k<n;k++){ if(i&(1<<j) && i&(1<<k)) sco[i]+=edge[j][k]; } } } memset(dp,-INF,sizeof dp); for(int i=1;i<(1<<n);i+=2) dp[0][i]=sco[i]; for(int i=0;i<(1<<n);i++){ for(int j=0;j<n;j++){ if(dp[j][i]<0) continue; int msk=(1<<n)-1-i; for(int sub=msk;sub>0;sub=(sub-1)&msk){ for(int k=0;k<n;k++){ if(edge[j][k] && (sub&(1<<k))) dp[k][i+sub]=max(dp[k][i+sub],dp[j][i]+sco[sub]+edge[j][k]); } } } } ll cnt=0; for(int i=0;i<n;i++) for(int j=i+1;j<n;j++) cnt+=edge[i][j]; cout<<cnt-dp[n-1][(1<<n)-1]; return 0; }
#include <bits/stdc++.h> using namespace std; int I[40000],n,m,H[20],a[20][20],x,y,ans,f[20][35000],w[35000]; int main(){ scanf("%d%d",&n,&m); I[1]=H[1]=1; for (int i=2;i<=n+1;++i) H[i]=H[i-1]<<1,I[H[i]]=i; for (int i=1;i<=m;++i){ scanf("%d%d",&x,&y); scanf("%d",&a[x][y]); a[y][x]=a[x][y]; for (int j=1;j<H[n+1];++j) if (j&H[x]&&j&H[y]) w[j]+=a[x][y]; } for (int i=1;i<=n;++i) for (int j=0;j<H[n+1];++j) f[i][j]=-1; for (int s=1;s<H[n];s+=2) f[1][s]=w[s]; for (int s=1;s<H[n];s+=2){ for (int i=2;i<n;++i) if (H[i]&s){ int S=s^H[i]; for (int o=S;o;o=o-1&S) if (o&1){ for (int j=o;j;j-=j&-j) if (a[i][I[j&-j]]) f[i][s]=max(f[i][s],a[i][I[j&-j]]+f[I[j&-j]][o]+w[s-o]); } } } for (int i=1;i<n;++i) if (a[i][n]) for (int s=1;s<H[n];s+=2) if (f[i][s]>-1) ans=max(ans,f[i][s]+a[i][n]+w[H[n+1]-1-s]); printf("%d\n",w[H[n+1]-1]-ans); return 0; }
#include<bits/stdc++.h> #define ll long long using namespace std; int n,m,i,j,x,y,w,hd,s,xlh,g[100010],v[21][21],f[100010][21],sy,mx,ans,pr,sz; int main(){ scanf("%d%d",&n,&m); for(i=1;i<=m;i++){ scanf("%d%d%d",&x,&y,&w); xlh+=w; x--;y--; v[x][y]=v[y][x]=w; } mx=1<<n; for(s=1;s<mx;s++){ for(i=0;i<n;i++)if(s&(1<<i)){ pr=s^(1<<i); sz=0; for(j=0;j<n;j++)if((s&(1<<j))&&v[i][j])sz+=v[i][j]; g[s]=g[pr]+sz;break; } //printf("%d %d\n",s,g[s]); } memset(f,172,sizeof(f)); f[1][0]=0; for(s=1;s<mx;s++) for(hd=0;hd<n;hd++)if(f[s][hd]>=0){ for(i=0;i<n;i++)if(!(s&(1<<i))&&v[hd][i]){ f[s|(1<<i)][i]=max(f[s|(1<<i)][i],f[s][hd]+v[hd][i]); } sy=(mx-1)^s; for(i=sy;i;i=(i-1)&sy)f[s|i][hd]=max(f[s|i][hd],f[s][hd]+g[i|(1<<hd)]); } for(i=1;i<mx;i++)ans=max(ans,f[i][n-1]); printf("%d",xlh-ans); }
#include "bits/stdc++.h" using namespace std; typedef long long ll; const ll MOD = 1e9 + 7; const int INF = 1 << 30; int mat[15][15]; int cost[1 << 15][15]; int dp[1 << 15][15]; int main() { int N, M; cin >> N >> M; for (int i = 0; i < M; i++) { int a, b, c; cin >> a >> b >> c; a--; b--; mat[a][b] = mat[b][a] = c; } for (int mask = 0; mask < (1 << N); mask++) { for (int i = 0; i < N; i++) { dp[mask][i] = INF; for (int j = 0; j < N; j++) { if (mask&(1 << j)) cost[mask][i] += mat[i][j]; } } } dp[1][0] = 0; for (int mask = 0; mask < (1 << N); mask++) { for (int i = 0; i < N; i++) { if (mask&(1 << i) == 0 || dp[mask][i] == INF) continue; for (int j = 0; j < N; j++) { if (mask&(1 << j) || mat[i][j] == 0) continue; int add = cost[mask][j] - mat[i][j]; dp[mask | (1 << j)][j] = min(dp[mask | (1 << j)][j], dp[mask][i] + add); } int nmask = mask ^ (1 << i); int comp = ((1 << N) - 1) ^ mask; for (int bit = comp; bit > 0; bit = (bit - 1)&comp) { int add = 0; for (int j = 0; j < N; j++) { if (bit&(1 << j)) add += cost[nmask][j]; } dp[mask | bit][i] = min(dp[mask | bit][i], dp[mask][i] + add); } } } cout << dp[(1 << N) - 1][N - 1] << endl; }
#include<bits/stdc++.h> using namespace std; const int N=15; int d[N][N],dp[1<<N][N],a[1<<N],n,m,ans,sum; void chmax(int &a,int b){if(a==-1||a<b)a=b;} int main() { scanf("%d%d",&n,&m); for(int i=0;i<m;i++) { int u,v,w; scanf("%d%d%d",&u,&v,&w); u--; v--; d[u][v]=d[v][u]=w; sum+=w; } memset(dp,-1,sizeof(dp)); for(int s=0;s<(1<<n);s++) for(int i=0;i<n;i++) if(s&(1<<i)) for(int j=i+1;j<n;j++) if(s&(1<<j)) a[s]+=d[i][j]; dp[1][0]=0; for(int s=1;s<(1<<n);s++) { for(int i=0;i<n;i++) { if(dp[s][i]==-1) continue; for(int j=0;j<n;j++) { if(s&(1<<j)) continue; if(!d[i][j]) continue; chmax(dp[s|(1<<j)][j],dp[s][i]+d[i][j]); } int k=(((1<<n)-1)^s)|(1<<i); for(int t=k;t;t=(t-1)&k) chmax(dp[s|t][i],dp[s][i]+a[t]); } } for(int s=0;s<(1<<n);s++) ans=max(ans,dp[s][n-1]); printf("%d\n",sum-ans); return 0; }
#include <bits/stdc++.h> #define mov(x) (1<<(x)) using namespace std; template <typename T> void cmin(T &x, const T &y) { if(y < x) x = y; } template <typename T> void cmax(T &x, const T &y) { if(y > x) x = y; } template <typename T> void read(T &x) { x = 0; char c = getchar(); bool f = 0; while(!isdigit(c) && c!='-') c = getchar(); if(c == '-') f = 1, c = getchar(); while(isdigit(c)) x = x*10+c-'0', c = getchar(); if(f) x = -x; } int n, m, sum; int grp[mov(15)]; int w[15][15]; int f[mov(15)][15]; int main() { read(n), read(m); memset(w, 0x9f, sizeof(w)); for(int i=1; i<=m; i++) { int a, b, c; read(a), read(b), read(c); w[a-1][b-1] = c; w[b-1][a-1] = c; sum += c; } memset(f, 0x9f, sizeof(f)); for(int s=1; s<mov(n); s++) for(int i=0; i<n; i++) if(s & mov(i)) for(int j=i+1; j<n; j++) if(s & mov(j)) if(w[i][j] > 0) grp[s] += w[i][j]; for(int s=1; s<mov(n); s++) if(s & 1) f[s][0] = grp[s]; for(int s=1; s<mov(n); s++) for(int i=0; i<n; i++) if(mov(i) & s) { int u = ((~s)&(mov(n)-1)); for(int t=u; t; t=((t-1)&u)) for(int j=0; j<n; j++) if(mov(j) & t) if(w[i][j] > 0) cmax(f[s|t][j], f[s][i] + w[i][j] + grp[t]); } printf("%d\n", sum-f[mov(n)-1][n-1]); return 0; }
#include<bits/stdc++.h> #define N 19 #define M 35009 using namespace std; int n,m,a[N][N],f[M],g[M][N],dp[M][N]; int main(){ scanf("%d%d",&n,&m); int i,j,k,x,y,z; for (i=1; i<=m; i++){ scanf("%d%d%d",&x,&y,&z); a[x][y]=a[y][x]=z; f[1<<x-1|1<<y-1]+=z; } int tot=1<<n; for (i=1; i<=n; i++) for (j=1; j<tot; j++) if (j>>i-1&1) f[j]+=f[j^1<<i-1]; memset(dp,195,sizeof(dp)); memset(g,195,sizeof(g)); int ans=-1000000000; for (i=1; i<tot; i+=2){ if (!(i>>n-1&1)) dp[i][1]=f[i]; for (j=1; j<=n; j++) if (i>>j-1&1){ for (k=i-1&i; k; k=k-1&i) if (k&1) dp[i][j]=max(dp[i][j],g[k][j]+f[i^k]); if (i>>n-1&1){ if (j==n) ans=max(ans,dp[i][j]); continue; } for (k=1; k<=n; k++) if (!(i>>k-1&1) && a[j][k]>0) g[i][k]=max(g[i][k],dp[i][j]+a[j][k]); } } printf("%d\n",f[tot-1]-ans); return 0; }
/********************* * Author: xuziyuan * *********************/ #include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<n;i++) #define repn(i,n) for(int i=1;i<=n;i++) #define LL long long #define pii pair <int,int> #define fi first #define se second #define pb push_back #define mpr make_pair using namespace std; const LL MOD=1e9+7; int n,m,x,y,z,a[20][20],val[40000],dp[40000][20],sum=0; int main() { cin>>n>>m; rep(i,m) { cin>>x>>y>>z; x--; y--; sum+=z; a[x][y]=a[y][x]=z; } rep(i,1<<n) rep(j,n) for(int k=j+1;k<n;k++) if((i&(1<<j))>0&&(i&(1<<k))>0) val[i]+=a[j][k]; rep(i,39995) rep(j,18) dp[i][j]=-1; rep(i,1<<n) if((i&1)==1) dp[i][0]=val[i]; rep(i,1<<n) { rep(j,n) { if(dp[i][j]==-1) continue; int rest=(1<<n)-1-i; for(int k=rest;k>0;k=(k-1)&rest) { rep(p,n) { if((k&(1<<p))==0||a[j][p]==0) continue; dp[i|k][p]=max(dp[i|k][p],dp[i][j]+val[k]+a[j][p]); } } } } cout<<sum-dp[(1<<n)-1][n-1]<<endl; return 0; }
#include <iostream> #include<vector> #include<cstring> using namespace std; int n, m; vector <int> g[15], c[15]; void add_edge(int u, int v, int w) { g[u].push_back(v); c[u].push_back(w); } int dp[1 << 15][15]; int prep[1 << 15][15]; void upd(int &x, int y) { if (y < x) x = y; } int main() { scanf("%d %d", &n, &m); for (int i = 0; i < m; ++ i) { int u, v, w; scanf("%d %d %d", &u, &v, &w); -- u; -- v; add_edge(u, v, w); add_edge(v, u, w); } memset(dp, 0x3f, sizeof(dp)); int full = (1 << n) - 1; for (int msk = 1; msk < (1 << n); ++ msk) { for (int i = 0; i < n; ++ i) if (!(msk >> i & 1)) { for (int e = 0; e < g[i].size(); ++ e) { if (msk >> g[i][e] & 1) prep[msk][i] += c[i][e]; } } } dp[1][0] = 0; for (int msk = 1; msk < (1 << n); ++ msk) { for (int u = 0; u < n; ++ u) if (msk >> u & 1) { for (int e = 0; e < g[u].size(); ++ e) { int v = g[u][e]; if (!(msk >> v & 1)) upd(dp[msk | 1 << v][v], dp[msk][u] + prep[msk ^ 1 << u][v]); } for (int s = full ^ msk; s; s = (s - 1) & (full ^ msk)) { int cur = 0; for (int i = 0; i < n; ++ i) if (s >> i & 1) cur += prep[msk ^ 1 << u][i]; upd(dp[msk | s][u], dp[msk][u] + cur); } } } printf("%d\n", dp[full][n - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 16; int dp[N][1 << N], sum[1 << N], G[N][N]; int main() { int n, m, res = 0; scanf("%d%d", &n, &m); for (int i = 1, a, b, c; i <= m; i++) scanf("%d%d%d", &a, &b, &c), G[a][b] = G[b][a] = c, res += c; for (int i = 1; i < 1 << n; i++) for (int j = 1; j <= n; j++) if (i & (1 << j - 1)) for (int k = j + 1; k <= n; k++) if (i & (1 << k - 1)) sum[i] += G[j][k]; memset(dp, -0x3f, sizeof(dp)); for (int s = 1; s < 1 << n; s++) if (s & 1) dp[1][s] = sum[s]; for (int s = 1; s < 1 << n; s++) for (int i = 1; i < n; i++) if (dp[i][s] >= 0) { for (int j = 1; j <= n; j++) if (G[i][j] && !(s & (1 << j - 1))) { int t = (1 << n) - 1; t ^= s, t ^= (1 << j - 1); for (int t1 = t; ~t1; t1 = (t1 - 1) & t) { dp[j][s | (1 << j - 1) | t1] = max(dp[j][s | (1 << j - 1) | t1], dp[i][s] + G[i][j] + sum[t1 | (1 << j - 1)]); if (!t1) break; } } } printf("%d\n", res - dp[n][(1 << n) - 1]); }
#include <bits/stdc++.h> using namespace std; typedef pair<int, int> pii; typedef long long ll; typedef vector<int> vi; #define pb push_back #define eb emplace_back #define mp make_pair #define fi first #define se second #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define ALL(c) (c).begin(),(c).end() #define dump(x) cout << #x << " = " << (x) << endl const int MN = 15; const int MB = 1 << MN; const ll inf = -1e9; int e[MN][MN]; int ct[MB]; int dp[MN][MB]; int main() { int N, M; cin >> N >> M; int sum = 0; rep(i, M) { int a, b, c; cin >> a >> b >> c; --a; --b; e[a][b] = e[b][a] = c; sum += c; } rep(i, N) rep(j, 1 << N) { dp[i][j] = inf; } rep(j, 1 << N) { rep(u, N) rep(v, u) { if (((j >> u) & 1) && ((j >> v) & 1)) { ct[j] += e[u][v]; } } } rep(j, 1 << N) { if (j & 1) { dp[0][j] = ct[j]; } } rep(j, 1 << N) { for (int k = j; k > 0; k = (k - 1) & j) { rep(i, N) if (((j ^ k) >> i) & 1) { rep(p, N) if (((k >> p) & 1) && dp[p][k] != inf && e[p][i] > 0) { dp[i][j] = max(dp[i][j], dp[p][k] + ct[j ^ k] + e[p][i]); } } } } int ans = sum - dp[N-1][(1 << N) - 1]; cout << ans << endl; return 0; }
#include<bits/stdc++.h> #define ll long long #define N 20 #define inf 1e9 #define rep(i,j,k) for(ll i=j;i<=k;++i) using namespace std; inline ll read(){ ll x=0,f=0;char ch=getchar(); for(;ch<'0'||ch>'9';ch=getchar()) if(ch=='-') f=1; for(;ch>='0'&&ch<='9';ch=getchar()) x=(x<<1)+(x<<3)+ch-48; return f?-x:x; } ll n,m,G[N][N],f[1<<N][N],s[1<<N],sum; int main(){ n=read();m=read(); rep(i,1,m){ ll x=read()-1,y=read()-1; G[x][y]=G[y][x]=read(); sum+=G[x][y]; } rep(i,0,1<<n) rep(j,0,n) if((i>>j)&1) rep(k,j+1,n) if((i>>k)&1) s[i]+=G[j][k]; rep(i,0,1<<n) rep(j,0,n) f[i][j]=-inf; rep(i,0,1<<n) if(i&1) f[i][0]=s[i]; rep(i,0,1<<n) rep(j,0,n) if((i>>j)&1) for(ll k=i;k;k=(k-1)&i) if(k&1) rep(l,0,n) if(((k>>l)&1)&&((~k>>j)&1)&&G[l][j]) f[i][j]=max(f[i][j],f[k][l]+G[l][j]+s[i^k]); printf("%d\n",sum-f[(1<<n)-1][n-1]); return 0; }
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; typedef long long ll; int n, m, map[16][16]; ll in[1 << 16], f[1 << 16][16]; int main() { scanf("%d%d", &n, &m); int x, y; for (int i = 1; i <= m; i++) { scanf("%d%d", &x, &y); x--, y--; scanf("%d", &map[x][y]); map[y][x] = map[x][y]; } for (int i = 0; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) for (int k = j + 1; k < n; k++) if (i & (1 << k)) in[i] += map[j][k]; memset(f, -0x3f, sizeof(f)); f[1][0] = 0; for (int i = 1; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) { int x = i ^ (1 << j); for (int k = 0; k < n; k++) if (i & (1 << k) && map[k][j]) f[i][j] = max(f[i][j], f[x][k] + map[k][j]); for (int k = x; k; k = (k - 1) & x) f[i][j] = max(f[i][j], f[i ^ k][j] + in[1 << j ^ k]); } printf("%lld\n", in[(1 << n) - 1] - f[(1 << n) - 1][n - 1]); }
#include<cstdio> #include<iostream> #include<algorithm> #include<cstring> #include<map> #include<queue> using namespace std; typedef long long ll; const int INF=~0u>>2; int n,m,sum[1<<15],dp[1<<15][15],G[15][15]; int read(){ int x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-') f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return f*x; } int cost(int x,int y){return sum[x|y]-sum[x]-sum[y];} int main(){ // freopen("ex.in","r",stdin); n=read();m=read(); for(int i=1;i<=m;++i){ int x=read(),y=read(),z=read(); x--;y--; G[x][y]=G[y][x]=z; } for(int i=1;i<(1<<n);++i){ for(int j=0;j<n;++j) if(i&(1<<j)){ for(int k=j+1;k<n;++k) if(i&(1<<k)) sum[i]+=G[j][k]; } } for(int i=1;i<(1<<n);++i) for(int j=0;j<n;++j) dp[i][j]=INF; dp[1][0]=0; for(int i=1;i<(1<<n);++i){ for(int j=0;j<n;++j) if(dp[i][j]!=INF){ for(int k=0;k<n;++k) if(!(i&(1<<k))&&G[j][k]) dp[i|(1<<k)][k]=min(dp[i|(1<<k)][k],dp[i][j]+cost(i^(1<<j),1<<k)); for(int k=((1<<n)-1)&(~i);k>0;k=(k-1)&(~i)) dp[i|k][j]=min(dp[i|k][j],dp[i][j]+cost(i^(1<<j),k)); } } printf("%d",dp[(1<<n)-1][n-1]); return 0; }
#include <bits/stdc++.h> using namespace std; int nth_bit(int64_t num, int n){ return (num >> n) & 1; } int N, M; int edges[15][15]; int gain[1<<15]; int dp[15][1<<15]; bool visited[15][1<<15]; const int INF = 1e9; int rec(int start, int bits){ if(bits == 0){ return start == N-1 ? 0 : -INF; } if(visited[start][bits]) return dp[start][bits]; int mx = -INF; for(int i=0; i<N; i++){ if(nth_bit(bits, i) && edges[start][i]){ mx = max(mx, rec(i, bits - (1<<i)) + edges[start][i]); } } for(int bits2=bits; bits2>0; bits2=(bits2-1)&bits){ mx = max(mx, rec(start, bits - bits2) + gain[bits2 + (1<<start)]); } dp[start][bits] = mx; visited[start][bits] = true; return mx; } int main(){ cin >> N >> M; for(int i=0; i<M; i++){ int a, b, c; cin >> a >> b >> c; a--; b--; edges[a][b] = c; edges[b][a] = c; for(int bits=0; bits<(1<<N); bits++){ if(nth_bit(bits, a) && nth_bit(bits, b)) gain[bits] += c; } } cout << gain[(1<<N)-1] - rec(0, (1<<N)-2) << endl; return 0; }
#include<bits/stdc++.h> using namespace std; const int md=1e9+7; int n,m,f[33005][20],c[33005][20],d[20][20]; vector<pair<int,int> >g[20]; int main() { scanf("%d%d",&n,&m); for(int i=1;i<=m;i++) { int u,v,w; scanf("%d%d%d",&u,&v,&w);u--;v--; d[u][v]=d[v][u]=w; } for(int msk=0;msk<(1<<n);msk++)for(int i=0;i<n;i++) { f[msk][i]=1e9+7; for(int j=0;j<n;j++)if(msk&(1<<j))c[msk][i]+=d[i][j]; } f[1][0]=0; for(int msk=0;msk<(1<<n);msk++) { for(int i=0;i<n;i++)if(msk&(1<<i)&&f[msk][i]!=1e9+7) { for(int j=0;j<n;j++) { if(!(msk&(1<<j))&&d[i][j]) { f[msk|(1<<j)][j]=min(f[msk|(1<<j)][j],f[msk][i]+c[msk][j]-d[i][j]); } } int nxt=msk^(1<<i),st=((1<<n)-1)^msk,s; for(int j=st;j>0;j=(j-1)&st) { s=0; for(int l=0;l<n;l++)if(j&(1<<l))s+=c[nxt][l]; f[msk|j][i]=min(f[msk|j][i],f[msk][i]+s); } } } printf("%d\n",f[(1<<n)-1][n-1]); return 0; }
#include<bits/stdc++.h> using namespace std; const int maxn=100010,mod=998244353; #define lson o<<1,l,mid #define rson o<<1|1,mid+1,r #define FOR(i,a,b) for(int i=(a);i<=(b);i++) #define ROF(i,a,b) for(int i=(a);i>=(b);i--) #define MEM(x,v) memset(x,v,sizeof(x)) inline int read(){ int x=0,f=0;char ch=getchar(); while(ch<'0' || ch>'9') f|=ch=='-',ch=getchar(); while(ch>='0' && ch<='9') x=x*10+ch-'0',ch=getchar(); return f?-x:x; } int n,m,lim,wsum,e[15][15],f[1<<15][15],tot[1<<15]; inline void chkmax(int &x,int y){if(x<y) x=y;} int main(){ n=read();m=read();lim=1<<n; FOR(i,1,m){ int u=read()-1,v=read()-1; wsum+=e[u][v]=e[v][u]=read(); } FOR(i,0,lim-1) FOR(j,0,n-1) if((i>>j)&1) FOR(k,j+1,n-1) if((i>>k)&1) tot[i]+=e[j][k]; MEM(f,~0x3f); f[1][0]=0; FOR(i,1,lim-1) FOR(j,0,n-1) if((i>>j)&1){ FOR(k,0,n-1) if(!((i>>k)&1) && e[j][k]) chkmax(f[i|(1<<k)][k],f[i][j]+e[j][k]); int re=(lim-1)^i; for(int k=re;k;k=((k-1)&re)) chkmax(f[i|k][j],f[i][j]+tot[k|(1<<j)]); } printf("%d\n",wsum-f[lim-1][n-1]); }
#include<bits/stdc++.h> using namespace std; int N,M; int G[15][15]; int dp[15][(1<<15)]; int INF=2e9; int calc(int bit,int nbit){ int sum=0; for(int i=0;i<N;i++) if(nbit>>i&1) for(int j=0;j<N;j++) if(~bit>>j&1) if(~nbit>>j&1) sum+=G[i][j]; return sum; } int rec(int pos,int bit){ static unordered_map< int , int > mem[15]; if( mem[pos].count(bit) )return mem[pos][bit]; if(pos==N-1)return 0; int res=INF; int sup=(1<<(N-1))-1-bit; int nbit=sup; while(1){ if(nbit>>pos&1){ int cost=calc(bit,nbit); for(int to=0;to<N;to++){ if(bit>>to&1)continue; if(nbit>>to&1)continue; if(G[pos][to]==0)continue; res=min(res, rec(to,bit|nbit) + cost - G[pos][to]); } } nbit--; nbit&=sup; if(nbit==0)break; } return mem[pos][bit]=res; } int main(){ cin>>N>>M; for(int i=0;i<M;i++){ int a,b,c; cin>>a>>b>>c; a--,b--; G[a][b]=G[b][a]=c; } cout<< rec(0,0) <<endl; return 0; }
#include<bits/stdc++.h> #define N 17 using namespace std; int n,m; int mp[N][N],sum[1<<15],f[1<<15][N]; int main() { scanf("%d%d",&n,&m);int t1,t2,t3; for(int i=1;i<=m;i++) { scanf("%d%d%d",&t1,&t2,&t3); mp[t1][t2]=mp[t2][t1]=t3; } for(int i=0;i<1<<n;i++) { for(int j=1;j<=n;j++) { if(i&(1<<(j-1))) { for(int k=j+1;k<=n;k++) { if(i&(1<<(k-1))) { sum[i]+=mp[j][k]; } } } } } memset(f,0xcf,sizeof(f)); for(int i=1;i<1<<n;i++)if(i&1)f[i][1]=sum[i]; for(int i=1;i<1<<n;i++) { for(int k=1;k<=n;k++) { if(i&(1<<(k-1))) { for(int j=(i-1)&i;j;j=(j-1)&i) { if(j&(1<<(k-1)))continue; for(int l=1;l<=n;l++) { if((j&(1<<(l-1)))&&mp[l][k]) { f[i][k]=max(f[i][k],f[j][l]+mp[l][k]+sum[i^j]); } } } } } } printf("%d\n",sum[(1<<n)-1]-f[(1<<n)-1][n]); return 0; }
#include<bits/stdc++.h> using namespace std; #define ll long long int n,m,u,v,w; ll bismarck[(1<<15)][15],e[15][15],sum[(1<<15)]; int main() { cin>>n>>m; while(m--) { cin>>u>>v>>w; u--,v--; e[u][v]=e[v][u]=w; } for(int i=0;i<1<<n;i++) { for(int j=0;j<n;j++){ if((i>>j)&1) { for(int k=j+1;k<n;k++) if((i>>k)&1) sum[i]+=e[j][k]; } bismarck[i][j]=-1e18;} } bismarck[1][0]=0; for(int i=1;i<(1<<n);i++) { for(int j=0;j<n;j++) if((i>>j)&1) { int l=i^(1<<j); for(int k=0;k<n;k++) if((i>>k)&1&&e[j][k]) bismarck[i][j]=max(bismarck[i][j],bismarck[l][k]+e[k][j]); for(int k=l;k>0;k=(k-1)&l) bismarck[i][j]=max(bismarck[i][j],bismarck[i^k][j]+sum[k^(1<<j)]); } } cout<<sum[(1<<n)-1]-bismarck[(1<<n)-1][n-1]; }
#include <algorithm> #include <cstdio> int a[15][15],f[1<<15][15],g[1<<15]; int main(){ int n,m,sum=0; scanf("%d%d\n",&n,&m); for (int i=1;i<=m;i++){ int x,y,z; scanf("%d%d%d\n",&x,&y,&z); x--;y--;sum+=z; a[x][y]=a[y][x]=z; } int L=1<<n; for (int i=0;i<L;i++){ for (int j=0;j<n;j++) f[i][j]=-1e9; for (int j=0;j<n;j++) if ((i>>j)&1){ g[i]=g[1<<j^i]; for (int k=j+1;k<n;k++) if ((i>>k)&1) g[i]+=a[j][k]; break; } } f[1][0]=0; for (int i=1;i<L;i++) for (int j=0;j<n;j++) if ((i>>j)&1){ int x=1<<j^i; for (int k=0;k<n;k++) if ((i>>k)&1 && a[k][j]) f[i][j]=std::max(f[i][j],f[x][k]+a[k][j]); for (int k=x;k;k=(k-1)&x) f[i][j]=std::max(f[i][j],f[i^k][j]+g[1<<j^k]); } printf("%d\n",sum-f[L-1][n-1]); }
#include <cstdio> #include <iostream> #include <algorithm> #include <cstring> using namespace std; typedef long long LL; LL e[25][25] = {0}; LL W[1 << 16] = {0}; LL dp[1 << 16][25] = {0}; LL n,m,tot = 0; int main(){ cin >> n >> m; for(LL i = 1;i <= m;i ++){ LL u,v,w; cin >> u >> v >> w; e[u][v] = w; e[v][u] = w; tot += w; } for(LL S = 0;S < (1LL << n);S ++){ for(LL i = 1;i <= n;i ++){ for(LL j = i + 1;j <= n;j ++){ if(((S >> (i - 1)) & 1) && ((S >> (j - 1)) & 1)) W[S] += e[i][j]; } } } memset(dp,-0x3f,sizeof(dp)); dp[1][1] = 0; for(LL S = 0;S < (1LL << n);S ++){ for(LL u = 1;u <= n;u ++){ if(!((S >> (u - 1)) & 1)) continue; for(LL v = 1;v <= n;v ++){ if((S >> (v - 1)) & 1) continue; if(!e[u][v]) continue; dp[S | (1 << (v - 1))][v] = max(dp[S | (1 << (v - 1))][v],dp[S][u] + e[u][v]); } LL U = ((1LL << n) - 1) ^ S; for(LL T = U;T;T = (U & (T - 1))){ dp[S | T][u] = max(dp[S | T][u],dp[S][u] + W[T | (1 << (u - 1))]); } } } cout << tot - dp[(1LL << n) - 1][n] << endl; return 0; }
#include<bits/stdc++.h> #define maxn 100005 #define ll long long using namespace std; int n,m; int g[16][16]; int block[1<<15],f[1<<15][16]; int main() { scanf("%d%d",&n,&m); int u,v,w,sum=0; for(int i=1;i<=m;i++) { scanf("%d%d%d",&u,&v,&w); sum+=w;g[u][v]=g[v][u]=w; } for(int s=0;s<(1<<n);s++) { for(int j=1;j<=n;j++) { if((!(s>>(j-1))&1)&&block[s|(1<<(j-1))]==0) { block[s|(1<<(j-1))]=block[s]; for(int k=1;k<=n;k++) { if((s>>(k-1))&1) block[s|(1<<(j-1))]+=g[j][k]; } } } } memset(f,-1,sizeof(f)); f[1][1]=0; for(int s=0;s<(1<<n);s++) { for(int j=1;j<=n;j++) { if(f[s][j]!=-1&&((s>>(j-1))&1)) { for(int k=1;k<=n;k++) { if(!((s>>(k-1))&1)&&g[j][k]) f[s|(1<<(k-1))][k]=max(f[s|(1<<(k-1))][k],f[s][j]+g[j][k]); } int ss=(((1<<n)-1)^s)|(1<<(j-1)); for(int k=ss;k;k=(k-1)&ss) { if((k>>(j-1))&1) f[s|k][j]=max(f[s|k][j],f[s][j]+block[k]); } } } } printf("%d\n",sum-f[(1<<n)-1][n]); return 0; }
#include <bits/stdc++.h> using namespace std; int n,m,sum=0,f[40010][20],b[40010],dis[20][20]; int main() { scanf("%d%d",&n,&m); for (int i=1;i<=m;i++) { int xx,yy,zz; scanf("%d%d%d",&xx,&yy,&zz); dis[xx][yy]=zz; dis[yy][xx]=zz; sum+=zz; } for (int i=1;i<(1<<n);i++) for (int j=1;j<=n;j++) if (i>>(j-1)&1) for (int k=j+1;k<=n;k++) if ((i>>(k-1))&1) b[i]+=dis[j][k]; memset(f,-10,sizeof(f)); f[1][1]=0; int N=(1<<n)-1; for (int i=1;i<=N;i++) for (int j=1;j<=n;j++) if ((i>>(j-1))&1) { for (int k=1;k<=n;k++) if (!((i>>(k-1))&1)&&dis[j][k]) f[i|(1<<(k-1))][k]=max(f[i|(1<<(k-1))][k],f[i][j]+dis[j][k]); for (int k=N^i;k;k=(k-1)&(N^i)) f[i|k][j]=max(f[i|k][j],f[i][j]+b[k|(1<<(j-1))]); } cout<<sum-f[N][n]; }
#include <cstdio> #define bin(x) (1<<(x)) #define b(x) (1<<(x)>>1) inline void cmax(int&x, const int y) {x < y && (x = y);} const int N = 17, M = 40100; int f[N][M], g[M]; int mp[N][N]; int n, m; int main() { scanf("%d%d",&n,&m); int Ans = 0; for(int i=1,x,y,z;i<=m;++i) { scanf("%d%d%d",&x,&y,&z), Ans += z; mp[x][y] = mp[y][x] = z; } for(int s=0;s<bin(n);++s) { int&v = g[s]; for(int i=1;i<=n;++i) if(s & b(i)) for(int j=i+1;j<=n;++j) if(s & b(j)) v += mp[i][j]; } for(int i=1;i<=n;++i) for(int j=0;j<bin(n);++j) f[i][j] = -1; f[1][1] = 0; for(int S=1;S<bin(n);++S) for(int i=1;i<=n;++i) if((S & b(i)) and ~f[i][S]) { for(int j=1;j<=n;++j) if((~S & b(j)) and mp[i][j]) cmax(f[j][S|b(j)], f[i][S] + mp[i][j]); for(int iS=(bin(n)-1)^S, s = iS; s; s = (s-1) & iS) cmax(f[i][S|s], f[i][S] + g[s|b(i)]); } printf("%d\n", Ans - f[n][bin(n)-1]); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int maxn=15; const int maxa=1<<15; const int inf=0x3f3f3f3f; int n,m,f[maxn][maxa],g[maxa],e[maxn][maxn]; int main() { scanf("%d%d",&n,&m); int x,y,w,sum=0; for(int i=0;i<m;i++) scanf("%d%d%d",&x,&y,&w),x--,y--,e[x][y]=e[y][x]=w,sum+=w; memset(g,inf,sizeof(g)); g[0]=0; for(int i=0;i<n;i++) for(int j=0;j<(1<<n);j++) if(g[j]!=inf && !(j&(1<<i))) { int val=0; for(int k=0;k<n;k++) if(j&(1<<k)) val+=e[i][k]; g[j|(1<<i)]=g[j]+val; } memset(f,-1,sizeof(f)); for(int i=0;i<(1<<n);i++) if(i&1) f[0][i]=g[i]; for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++) if(i&(1<<j) && f[j][i]!=-1) for(int k=i^((1<<n)-1),t=k;k>=0;k=k?(k-1)&t:-1) for(int l=0;l<n;l++) if(!(i&(1<<l)) && (k&(1<<l)) && e[j][l]) f[l][i|k]=max(f[l][i|k],f[j][i]+g[k]+e[j][l]); printf("%d\n",sum-f[n-1][(1<<n)-1]); return 0; }
#include<cstdio> #include<algorithm> using namespace std; int D[1 << 15][15], S[1 << 15]; int w[15][15], n, m, sum; int main() { int i, a, b, c, j, k, l; scanf("%d%d", &n, &m); for (i = 0; i < m; i++) { scanf("%d%d%d", &a, &b, &c); a--, b--; w[a][b] = w[b][a] = c; sum += c; for (j = 0; j < (1 << n); j++) { if (((~j)&((1 << a) | (1 << b))) == 0)S[j] += c; } } for (i = 0; i < (1 << n); i++) { for (j = 0; j < n; j++)D[i][j] = -1e9; if (i & 1) D[i][0] = S[i]; } for (i = 0; i < (1 << n); i++) { for (j = 0; j < n; j++) { if (D[i][j] < 0)continue; int b = (1 << n) - i - 1; for (k = b;k; k = (k - 1)&b) { for (l = 0; l < n; l++) { if (w[j][l] && ((k >> l) & 1) ){ D[i | k][l] = max(D[i | k][l], D[i][j] + S[k] + w[j][l]); } } } } } printf("%d\n", sum - D[(1 << n) - 1][n - 1]); }
#include<bits/stdc++.h> #define N 18 using namespace std; int dis[N][N]; int n,m; int tot[(1<<15)+3]; int dp[(1<<15)+3][N]; int main(){ scanf("%d%d",&n,&m); for(int i=1,f,t,d;i<=m;i++){ scanf("%d%d%d",&f,&t,&d); dis[f-1][t-1]=dis[t-1][f-1]=d; } for(int i=1;i<(1<<n);i++){ int pos=-1,aim=i-(i&(-i)); for(int j=0;j<n;j++) if((i&(-i))>>j == 1){ pos=j;break; } if(pos!=-1){ tot[i]=tot[aim]; for(int j=0;j<n;j++) if(aim&(1<<j)) tot[i]+=dis[pos][j]; } } memset(dp,0xc0,sizeof(dp)); for(int i=1;i<(1<<n);i+=2) dp[i][0]=tot[i]; for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++) if(i&(1<<j)&&dp[i][j]!=dp[0][0]){ for(int k=0;k<n;k++) if((i&(1<<k)) == 0&&dis[j][k] != 0){ for(int mask=((1<<n)-1)^(i|(1<<k)),v=mask;;v=(v-1)&mask){ dp[i|(1<<k)|v][k]=max(dp[i|(1<<k)|v][k],dp[i][j]+dis[j][k]+tot[v|(1<<k)]); if(v==0) break; } } } int ans=-1e9; for(int i=(1<<(n-1));i<(1<<n);i++) ans=max(ans,dp[i][n-1]); cout<<tot[(1<<n)-1]-ans<<endl; return 0; }
#define _GLIBCXX_IOSTREAM #include<bits/stdc++.h> #define inf 1000000007 using namespace std; int f[1<<15],dp[1<<15][15],tot,c[15][15],n,m; int main(){ scanf("%d%d",&n,&m); for(int i=0;i<n;++i) for(int j=0;j<n;++j) c[i][j]=(i==j?0:-inf); for(int i=1,u,v;i<=m;++i) scanf("%d%d",&u,&v),scanf("%d",&c[--u][--v]),tot+=(c[v][u]=c[u][v]); for(int i=0;i<(1<<n);++i) for(int j=0;j<n;++j)if(i>>j&1) for(int k=j;k<n;++k)if(i>>k&1)if(c[j][k]!=-inf) f[i]=max(-inf,f[i]+c[j][k]); for(int i=0;i<(1<<n);++i) for(int j=0;j<n;++j) dp[i][j]=-inf; dp[1][0]=0; for(int i=1;i<(1<<n);++i) for(int j=0;j<n;++j)if(dp[i][j]!=-inf){ int nk=(((1<<n)-1)^i)|(1<<j); for(int k=nk;k;k=(k-1)&nk)if(k>>j&1) dp[i|k][j]=max(dp[i|k][j],dp[i][j]+f[k]); for(int k=0;k<n;++k)if(~i>>k&1) dp[i|(1<<k)][k]=max(dp[i|(1<<k)][k],dp[i][j]+c[j][k]);//,printf("{%d->%d}",j,k); // printf("dp[%d][%d]=%d\n",i,j,dp[i][j]); } int ans=0; for(int i=1;i<(1<<n);++i)ans=max(ans,dp[i][n-1]); printf("%d",tot-ans); }
#include<cstring> #include<cstdlib> #include<cstdio> #include<cmath> #include<iostream> #define N 20 #define M (1<<15)+10 #define lowbit(x) (x&(-x)) using namespace std; int f[M][N],g[M][N],h[M],a[N][N],bit[M],n,m,tot,ans; void upd(int &x,int y) { if(y>x) x=y; } int main() { scanf("%d%d",&n,&m); for(int i=1;i<=m;i++) { int x,y,d;scanf("%d%d%d",&x,&y,&d); tot+=d; a[x][y]=a[y][x]=d; } for(int i=1;i<=n;i++) bit[1<<(i-1)]=i; memset(f,-1,sizeof(f)); memset(g,-1,sizeof(g)); int ss=1<<n; for(int i=1;i<ss;i++) { int j=bit[lowbit(i)]; h[i]=h[i-lowbit(i)]; for(int k=1;k<=n;k++) if(j!=k && (i&(1<<(k-1)))) h[i]+=a[j][k]; } f[1][1]=0; for(int i=0;i<ss;i++) for(int j=1;j<=n;j++) { upd(g[i][j],f[i][j]); if(f[i][j]!=-1) { int t=ss-1-i; for(int k=t;k;k=(k-1)&t) upd(g[i+k][j],f[i][j]+h[k+(1<<(j-1))]); } if(g[i][j]!=-1) { for(int k=1;k<=n;k++) { if((i&(1<<(k-1))) || a[j][k]==0) continue; upd(f[i+(1<<(k-1))][k],g[i][j]+a[j][k]); } } } ans=max(f[ss-1][n],g[ss-1][n]); printf("%d\n",tot-ans); return 0; }
#include<cstdio> #include<cstring> #include<vector> using namespace std; #define ll long long inline int read() { int x;char c; while((c=getchar())<'0'||c>'9'); for(x=c-'0';(c=getchar())>='0'&&c<='9';)x=x*10+c-'0'; return x; } #define MN 15 int g[MN+5][MN+5],F[1<<MN][MN+5]; ll f[1<<MN][MN+5]; vector<int> v[1<<MN]; inline void rw(ll&a,ll b){if(b>a)a=b;} int main() { int n,m,i,j,k,x,y,s=0; n=read();m=read(); while(m--)x=read(),y=read(),s+=g[x][y]=g[y][x]=read(); for(i=1;i<1<<n;++i)for(j=1;j<=n;++j)if(i&(1<<j-1)) { v[i].push_back(j); i^=1<<j-1; for(x=0;x<v[i].size();++x) { F[i^(1<<j-1)][j]+=g[v[i][x]][j]; for(y=0;y<x;++y)F[i^(1<<j-1)][j]+=g[v[i][x]][v[i][y]]; } i^=1<<j-1; } memset(f,200,sizeof(f)); for(i=1;i<1<<n;++i)if(i&1)f[i][1]=F[i][1]; for(i=1;i<1<<n;++i)for(j=0;j<v[i].size();++j) for(x=i^(1<<v[i][j]-1);x&=i^(1<<v[i][j]-1);--x) for(y=0;y<v[x].size();++y)if(g[v[i][j]][v[x][y]]) rw(f[i][v[i][j]],f[x][v[x][y]]+g[v[i][j]][v[x][y]]+F[i^x][v[i][j]]); printf("%d",s-f[(1<<n)-1][n]); }
#include<bits/stdc++.h> using namespace std; int read() { int x=0,f=1; char ch=getchar(); while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();} while(ch>='0'&&ch<='9') {x=(x<<3)+(x<<1)+(ch^48); ch=getchar();} return x*f; } int n,m,x,y,z; int dis[20][20]; int tag[100050],s[100050]; int f[100050][20],sum,ans; int main() { n=read(); m=read(); tag[0]=-1; memset(f,-1,sizeof(f)); f[1][0]=0; while(m--) { x=read()-1; y=read()-1; z=read(); dis[x][y]=dis[y][x]=z; sum+=z; } for(int i=1;i<(1<<n);++i) { x=tag[i]=tag[i>>1]+1; s[i]=s[i^(1<<x)]; for(y=0;y<x;++y) if(i&(1<<y)) s[i]+=dis[x][y]; } for(int i=1;i<(1<<n);++i) for(int j=0;j<n;++j) { if(f[i][j]==-1) continue; for(int k=0;k<n;++k) if(dis[j][k]&&!(i&(1<<k))) f[i|(1<<k)][k]=max(f[i|(1<<k)][k],f[i][j]+dis[j][k]); int t=((1<<n)-1)^i^(1<<j); for(int k=t;k;k=(k-1)&t) f[i|k][j]=max(f[i|k][j],f[i][j]+s[k]); } for(int i=0;i<(1<<n);++i) ans=max(ans,f[i][n-1]); printf("%d",sum-ans); return 0; }
#include<bits/stdc++.h> using namespace std; #define N 15 int n,m,sum,d[N][1<<N],e[1<<N],f[1<<N][N]; void upd(int &x,int y){x=max(x,y);} int read(){ int x=0,f=1;char ch=getchar(); for (;!isdigit(ch);ch=getchar()) if (ch=='-') f=-f; for (;isdigit(ch);ch=getchar()) x=x*10+ch-'0'; return x*f; } int main(){ n=read();m=read(); for (int i=1;i<=m;i++){ int x=read()-1,y=read()-1; d[x][1<<y]=d[y][1<<x]=read(); sum+=d[x][1<<y]; } for (int i=0;i<n;i++) for (int j=1;j<(1<<n);j++) d[i][j]=d[i][j&-j]+d[i][j-(j&-j)]; for (int i=0;i<(1<<n);i++) for (int j=0;j<n;j++) if (i&(1<<j)) e[i]=e[i-(1<<j)]+d[j][i-(1<<j)]; memset(f,0x80,sizeof(f));f[1][0]=0; for (int i=1;i<(1<<n);i++) for (int j=0;j<n;j++) if (f[i][j]!=-1){ for (int k=0;k<n;k++) if ((i&(1<<k))==0&&d[j][1<<k]) upd(f[i+(1<<k)][k],f[i][j]+d[j][1<<k]); for (int s=(1<<n)-1-i,k=s;k;k=(k-1)&s) upd(f[i+k][j],f[i][j]+e[k+(1<<j)]); } printf("%d\n",sum-f[(1<<n)-1][n-1]); return 0; }
#include<bits/stdc++.h> using namespace std; int dp[1<<15][15]; int g[15][15]; int dis[1<<15]; int n,m,ans=0x3f3f3f3f,sum; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin>>n>>m; for(int i=0;i<m;i++){ int a,b,c; cin>>a>>b>>c;a--;b--; g[a][b]=g[b][a]=c; sum+=c; } for(int s=0;s<1<<n;s++){ for(int i=0;i<n;i++)if(s>>i&1){ for(int j=i+1;j<n;j++)if(s>>j&1){ dis[s]+=g[i][j]; } } } memset(dp,0x3f,sizeof(dp)); dp[1][0]=sum; for(int s=0;s<1<<n;s++){ for(int i=0;i<n;i++){ for(int j=0;j<n;j++)if(!(s>>j&1)&&g[i][j]){ dp[s|(1<<j)][j]=min(dp[s|(1<<j)][j],dp[s][i]-g[i][j]); } int rs=(s^((1<<n)-1))|(1<<i); for(int j=rs;j;j=rs&(j-1)){ dp[s|j][i]=min(dp[s|j][i],dp[s][i]-dis[j]); } } } for(int s=0;s<1<<n;s++){ ans=min(ans,dp[s][n-1]); } cout<<ans<<endl; return 0; }
#include <stdio.h> #include <string.h> #include <algorithm> #include <math.h> #define rep(i,st,ed) for (int i=st;i<=ed;++i) #define fill(x,t) memset(x,t,sizeof(x)) #define lb(x) (x&-x) #define get(x) ((int)log2(x)) const int N=200005; int r[25][N],f[25][N],sum[N]; int v[25][25]; int read() { int x=0,v=1; char ch=getchar(); for (;ch<'0'||ch>'9';v=(ch=='-')?(-1):v,ch=getchar()); for (;ch<='9'&&ch>='0';x=x*10+ch-'0',ch=getchar()); return x*v; } void upd(int &x,int v) { (x<v)?(x=v):0; } int main(void) { int n=read(),m=read(); int prt=0; rep(i,1,m) { int x=read()-1,y=read()-1; v[x][y]=v[y][x]=read(),prt+=v[x][y]; r[x][1<<y]=v[x][y]; r[y][1<<x]=v[x][y]; } rep(i,0,n-1) { for (int S=0;S<(1<<n);++S) { r[i][S]=r[i][S-lb(S)]+r[i][lb(S)]; } } for (int S=1;S<(1<<n);++S) { sum[S]=sum[S-lb(S)]+r[get(lb(S))][S-lb(S)]; } fill(f,-63); f[0][1]=0; int ans=0; for (int S=1;S<(1<<n);++S) { rep(i,0,n-1) { // if (!((S>>i))&1) continue; // if (!(S&1)) continue; for (int T=S;T;T=(T-1)&S) { if (T>>i&1) upd(f[i][S],f[i][S-T+(1<<i)]+sum[T]); } rep(j,0,n-1) if (!(S>>j&1)&&v[i][j]) { upd(f[j][S+(1<<j)],f[i][S]+v[i][j]); } } if ((S&1)&&(S>>(n-1)&1)) upd(ans,f[n-1][S]); } printf("%d\n", prt-ans); return 0; }
#include <bits/stdc++.h> const int dx[4]={-1,1,0,0},dy[4]={0,0,-1,1}; typedef long long ll; const int N=20; const ll inf=1ll<<60; int n,m,g[N][N],ST; int dp[40000][N],sum[40000]; using namespace std; /*struct node { int t,next; }adj[N<<1]; void add(int s,int t) { adj[++now]=(node){t,head[s]}; head[s]=now; }*/ inline int read() { char c;int x; while (c=getchar(),c<'0' || c>'9');x=c^'0'; while (c=getchar(),c>='0' && c<='9') x=(x<<1)+(x<<3)+(c^'0'); return x; } void write(int x) { if (x==0) return; write(x/10); putchar((x%10)+'0'); } void upd(int& x,int y){if (x==-1) x=y;else x=max(x,y);} int main() { #ifdef Kay freopen ("code.in","r",stdin); freopen ("code.out","w",stdout); #endif cin>>n>>m; int i,s,t,w,j,k,l,tot=0; for (i=1;i<=m;i++) cin>>s>>t>>w,g[s][t]=g[t][s]=w,tot+=w; ST=1<<n; memset(dp,-1,sizeof(dp)); for (i=1;i<ST;i++) for (s=1;s<=n;s++) if ((i>>(s-1))&1) for (t=s+1;t<=n;t++) if ((i>>(t-1))&1) sum[i]+=g[s][t]; for (i=0;i<ST;i++) if ((i&1)) dp[i][1]=sum[i]; for (i=1;i<ST;i++) for (j=1;j<=n;j++) if (dp[i][j]!=-1) { int x=(i^(ST-1)); for (k=x;k;k=(k-1)&x) for (l=1;l<=n;l++) if (((k>>(l-1))&1) && g[j][l]) upd(dp[k|i][l],dp[i][j]+sum[k]+g[j][l]); } printf ("%d",tot-dp[ST-1][n]); return 0; }
#include<bits/stdc++.h> #define N 16 #define oo (1<<29) using namespace std; int n,m,G[N][N],f[1<<N][N],S[1<<N],sum; int main() { int i,j,k,l,x,y,z; scanf("%d %d",&n,&m); for(i=1;i<=m;i++){ scanf("%d %d %d",&x,&y,&z); x--,y--,G[x][y]=G[y][x]=z,sum+=z; } for(i=0;i<(1<<n);i++) for(j=0;j<n;j++) if((i>>j)&1) for(k=j+1;k<n;k++) if((i>>k)&1) S[i]+=G[j][k]; for(i=0;i<(1<<n);i++) for(j=0;j<n;j++) f[i][j]=-oo; for(i=0;i<(1<<n);i++) if(i&1) f[i][0]=S[i]; for(i=1;i<(1<<n);i++) for(j=0;j<n;j++) if((i>>j)&1) for(k=i;k;k=(k-1)&i) if(k&1) for(l=0;l<n;l++) if(((k>>l)&1)&&((~k>>j)&1)&&G[l][j]) f[i][j]=max(f[i][j],f[k][l]+G[l][j]+S[i^k]); cout<<sum-f[(1<<n)-1][n-1]; return 0; }
#include <cstdio> #include <algorithm> #include <cmath> #include <cstring> #include <iostream> #include <ctime> #include <map> #include <queue> #include <cstdlib> #include <string> #include <climits> #include <set> #include <vector> using namespace std; inline int read(){ int k=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){k=k*10+ch-'0';ch=getchar();} return k*f; } int n,m,a[110][110],f[1<<15][20],s[1<<15]; int main() { n=read();m=read();int sum=0; for(int i=1;i<=m;i++){ int x=read()-1,y=read()-1,z=read(); a[x][y]=a[y][x]=z;sum+=z; } for(int i=0;i<(1<<n);i++) for(int j=0;j<n;j++)f[i][j]=-1; for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++)if((1<<j)&i) for(int k=j+1;k<n;k++)if((1<<k)&i)s[i]+=a[j][k]; f[1][0]=0; for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++)if(f[i][j]!=-1){ for(int k=0;k<n;k++)if(((1<<k)&i)==0&&a[j][k]>0)f[i|(1<<k)][k]=max(f[i|(1<<k)][k],f[i][j]+a[j][k]); int x=(((1<<n)-1)^i)|(1<<j); for(int y=x;y>=0;y--)y&=x,f[i|y][j]=max(f[i|y][j],f[i][j]+s[y]); } int ans=1e9; for(int i=0;i<(1<<n);i++)ans=min(ans,sum-f[i][n-1]); printf("%d",ans); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; template <typename _tp> inline void read(_tp&x){ char ch=getchar(),ob=0;x=0; while(ch!='-'&&!isdigit(ch))ch=getchar();if(ch=='-')ob=1,ch=getchar(); while(isdigit(ch))x=x*10+ch-'0',ch=getchar();if(ob)x=-x; } #define bin(x) (1<<(x)) #define b(x) (1<<(x)>>1) inline void cmax(int&x, const int y) {x < y && (x = y);} const int N = 17, M = 40100; int f[N][M], g[M]; int mp[N][N]; int n, m; int main() { read(n), read(m); int Ans = 0; for(int i=1,x,y,z;i<=m;++i) { read(x), read(y), read(z); Ans += z; mp[x][y] = mp[y][x] = z; } for(int s=0;s<bin(n);++s) { int&v = g[s]; for(int i=1;i<=n;++i) if(s & b(i)) for(int j=i+1;j<=n;++j) if(s & b(j)) v += mp[i][j]; } for(int i=1;i<=n;++i) for(int j=0;j<bin(n);++j) f[i][j] = -1; f[1][1] = 0; for(int S=1;S<bin(n);++S) for(int i=1;i<=n;++i) if((S & b(i)) and ~f[i][S]) { for(int j=1;j<=n;++j) if((~S & b(j)) and mp[i][j]) cmax(f[j][S|b(j)], f[i][S] + mp[i][j]); for(int iS=(bin(n)-1)^S, s = iS; s; s = (s-1) & iS) cmax(f[i][S|s], f[i][S] + g[s|b(i)]); } printf("%d\n", Ans - f[n][bin(n)-1]); return 0; }
#include<bits/stdc++.h> #define update(a,b,c) if(dp[a][b]<c)dp[a][b]=c,q.push({a,b}) using namespace std; struct edge{int v,w;}; int n,m,dp[70001][21],sum,cost[70001]; vector<edge> w[21]; int main() { scanf("%d%d",&n,&m); while(m--) { int x,y,z; scanf("%d%d%d",&x,&y,&z); x--;y--; w[x].push_back({y,z}); w[y].push_back({x,z}); sum+=z; } for(int s=0;s<(1<<n);s++) for(int i=0;i<n;i++) if(s&(1<<i)) for(edge j:w[i]) if(s&(1<<j.v))cost[s]+=j.w; for(int s=0;s<(1<<n);s++)cost[s]/=2; memset(dp,-1,sizeof dp); dp[1][0]=0; queue<pair<int,int> > q; q.push({1,0}); while(!q.empty()) { int s=q.front().first,u=q.front().second,ss=((1<<n)-1)^s;q.pop(); for(edge j:w[u]) if(~s&(1<<j.v))update(s^(1<<j.v),j.v,j.w+dp[s][u]); for(int t=ss;t;t=(t-1)&ss) if(~t&(1<<u))update(s^t,u,cost[t^(1<<u)]+dp[s][u]); } int ans=1<<30; for(int i=0;i<(1<<n);i++)ans=min(ans,sum-dp[i][n-1]); printf("%d\n",ans); return 0; }
#include <bits/stdc++.h> #define pb push_back #define mp make_pair #define LL long long #define INF 0x3f3f3f3f #define Inf 1000000000000000000LL #define F first #define S second using namespace std; typedef pair<int,int>pii; int n,m,sum; int E[20][20],p[140010],f[140010][20]; void update(int&x,const int&y){x=max(x,y);} int main(){ memset(f,-1,sizeof f); cin>>n>>m; for(int i=0,x,y,z;i<m;i++){ cin>>x>>y>>z; x--,y--; E[x][y]=E[y][x]=z; sum+=z; } for(int i=0;i<(1<<n);i++){ for(int j=0;j<n;j++)if(i&(1<<j)) for(int k=0;k<n;k++)if(i&(1<<k)) p[i]+=E[j][k]; p[i]>>=1; } f[1][0]=0; for(int i=1;i<(1<<n);i++){ for(int j=0;j<n;j++){ if (f[i][j]==-1)continue; for(int k=0;k<n;k++){ if(i&(1<<k))continue; if(E[j][k]==0)continue; update(f[i|(1<<k)][k],f[i][j]+E[j][k]); } int revi=(((1<<n)-1)^i)|(1<<j); for(int k=revi;k;k=(k-1)&revi)update(f[i|k][j],f[i][j]+p[k]); } } int ans=0; for(int i=0;i<(1<<n);i++)update(ans,f[i][n-1]); cout<<(sum-ans)<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline int gi(){ char ch=getchar();int x=0,q=0; while(ch<'0' || ch>'9') ch=='-'?q=1:0,ch=getchar(); while(ch>='0' && ch<='9') x=x*10+ch-'0',ch=getchar(); return q?(-x):x; } int f[35000][17],w[35000],c[17][17]; void dp(int &x,int y){ if (x<y) x=y; return; } int main(){ int n=gi(),m=gi(),z,a,b,p,S=(1<<n)-1,d=0; for (int i=1; i<=m; ++i){ a=gi(),b=gi(),p=gi(); c[a][b]+=p,c[b][a]+=p; z=(1<<(a-1))|(1<<(b-1)); for (int s=1; s<(1<<n); ++s) if ((s&z)==z) w[s]+=p; d+=p; } memset(f,-100,sizeof(f)); f[1][1]=0; for (int s=1; s<=S; ++s) for (int i=1; i<=n; ++i) if (s&(1<<(i-1))){ for (int j=1; j<=n; ++j) if (!(s&(1<<(j-1)))&&c[i][j]) dp(f[s|(1<<(j-1))][j],f[s][i]+c[i][j]); for (int t=S^s; t; t=(t-1)&(S^s)) dp(f[s|t][i],f[s][i]+w[t|1<<(i-1)]); } int ans=0; for (int s=1; s<=S; ++s) dp(ans,f[s][n]); cout<<d-ans; return 0; }
#include <bits/stdc++.h> using namespace std; int g[15][15],cr[15][32768],ins[32768],dp[32768][15]; int main (){ int i,j,k,t,u,v,c,l,n,m,s=0; scanf ("%d%d",&n,&m); for (i=1;i<=m;i++) {scanf ("%d%d%d",&u,&v,&c); u--;v--;g[u][v]=g[v][u]=c;s+=c; } for (i=0;i<n;i++) {for (k=0;k<n;k++) {for (j=0;j<(1<<n);j++) {if ((1<<k)&j) {cr[i][j]+=g[i][k];} } } } for (i=0;i<(1<<n);i++) {for (j=0;j<n;j++) {for (k=0;k<n;k++) {if ((1<<j)&i) {if ((1<<k)&i) {ins[i]+=g[j][k];} } } } ins[i]/=2; } memset(dp,-1,sizeof(dp)); dp[1][0]=0; for (i=1;i<(1<<n);i++) {for (j=0;j<n;j++) {if (dp[i][j]<0) {continue;} int tar=i-(1<<j),b=(1<<n)-1-tar; for (k=0;k<n;k++) {if (i&(1<<k)) {continue;} if (g[j][k]<=0) {continue;} dp[i+(1<<k)][k]=max(dp[i+(1<<k)][k],dp[i][j]+g[j][k]); } for (t=b;t;t=(t-1)&b) {if (t&(1<<j)) {continue;} dp[t|i][j]=max(dp[t|i][j],dp[i][j]+cr[j][t]+ins[t]); } } } int ans=0; for (i=0;i<(1<<n);i++) {ans=max(ans,dp[i][n-1]);} printf ("%d",s-ans); return 0; }
#pragma GCC optimize(2) #include <bits/stdc++.h> #define INF 1000000007 using namespace std; int n,m,dp[100010][20],val[100010]; int num[20][20]; vector<int> v; signed main() { ios::sync_with_stdio(false); cin>>n>>m; for(int i=1;i<=m;i++){ int a,b,c; cin>>a>>b>>c; num[a][b]=num[b][a]=c; } val[0]=0; for(int i=1;i<(1<<n);i++){ v.clear(); for(int j=1;j<=n;j++) if(i&(1<<(j-1))){ v.push_back(j); } val[i]=val[i^(1<<(v[0]-1))]; for(int j=1;j<v.size();j++){ val[i]+=num[v[0]][v[j]]; } } for(int i=0;i<(1<<n);i++) for(int j=1;j<=n;j++) dp[i][j]=-INF; for(int i=0;i<(1<<n);i++) if(i&1) dp[i][1]=val[i]; for(int i=1;i<(1<<n);i++){ for(int j=1;j<=n;j++) if(i&(1<<(j-1))){ if(dp[i][j]==-INF) continue; int xx=((1<<n)-1)^i; for(int mask=xx;mask>0;mask=(mask-1)&xx){ for(int k=1;k<=n;k++) if(mask&(1<<(k-1))&&num[j][k]){ dp[i^mask][k]=max(dp[i^mask][k],dp[i][j]+num[j][k]+val[mask]); } } } } cout<<val[(1<<n)-1]-dp[(1<<n)-1][n]<<endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9; const int maxn = 16; const int maxs = 1 << maxn; int a[maxn][maxn]; int f[maxs], g[maxn][maxs]; int tot, n, m, S; void calc(int i, int s) { for(int j = 0; j < n; ++j) if((s & (1 << j)) && a[i][j]) g[i][s] = max(g[i][s], g[j][s - (1 << i)] + a[i][j]); int res = s - (1 << i); for(int r = res; r; r = res & (r - 1)) g[i][s] = max(g[i][s], g[i][r | (1 << i)] + f[s - r]); g[i][s] = max(g[i][s], g[i][1 << i] + f[s]); //cout << i << ' ' << s << ' ' << g[i][s] << endl; } int main() { scanf("%d%d", &n, &m); S = (1 << n) - 1; for(int i = 1; i <= m; ++i) { int u, v, w; scanf("%d%d%d", &u, &v, &w); --u; --v; a[u][v] = a[v][u] = w; tot += w; } for(int j = 0; j < n; ++j) { int cur = 1 << j; for(int s = 0; s < cur; ++s) { f[s | cur] = f[s]; for(int i = 0; i < j; ++i) if(s & (1 << i)) f[s | cur] += a[i][j]; } } for(int s = 1; s <= S; ++s) for(int i = 0; i < n; ++i) g[i][s] = -INF; g[0][1] = 0; for(int s = 1; s <= S; ++s) for(int i = 0; i < n; ++i) if(s & (1 << i)) calc(i, s); //cout << g[n - 1][S] << endl; printf("%d\n", tot - g[n - 1][S]); return 0; } /* 4 4 1 2 100 2 4 100 1 3 100 3 4 100 */
#include <bits/stdc++.h> using std::max; const int N=15,Inf=1e9+10; int n,m,map[N][N],f[N][1<<N],M[N][1<<N],sum[1<<N]; void Init() { scanf("%d%d",&n,&m); int a,b,c; for (int i=1;i<=m;++i) { scanf("%d%d%d",&a,&b,&c); a--; b--; map[a][b]=map[b][a]=c; } } int summ; bool vis[N]; void Dfs(int x,int s) { if (vis[x]) return ; vis[x]=1; for (int i=0;i<n;++i) if ((1<<i)&s && map[x][i]) { summ+=map[x][i]; Dfs(i,s); } } void Solve() { int Max=1<<n; for (int s=0;s<Max;++s) { summ=0; for (int i=0;i<n;++i) vis[i]=0; for (int i=0;i<n;++i) if ((1<<i)&s) Dfs(i,s); sum[s]=summ>>1; } summ=0; for (int i=0;i<n;++i) for (int j=i;j<n;++j) summ+=map[i][j]; for (int i=0;i<n;++i) for (int s=0;s<Max;++s) f[i][s]=-Inf,M[i][s]=-Inf; M[0][1]=0; for (int s=0;s<Max;++s) if (s&1) { f[0][s]=sum[s]; for (int t=0;t<n;++t) if (map[t][0]) M[t][s]=max(M[t][s],f[0][s]+map[t][0]); } for (int s=0;s<Max;++s) { for (int i=0;i<n;++i) if ((1<<i)&s) { for (int p=s;p;p=(p-1)&s) if (!((1<<i)&p)) { f[i][s]=max(f[i][s],M[i][p]+sum[s^p]); } for (int t=0;t<n;++t) if (map[t][i]) M[t][s]=max(M[t][s],f[i][s]+map[t][i]); } } printf("%d\n",summ-f[n-1][Max-1]); } int main() { Init(); Solve(); return 0; }
#include <cstdio> #include <cstring> using namespace std; const int maxn=17, maxst=(1<<17)-1; int n, m, sum, e[maxn][maxn], p[maxst], f[maxst][maxn]; inline int max(int x, int y){ return x<y?y:x; } inline void up(int &x, int y){ x=max(x, y); } int main(){ scanf("%d%d", &n, &m); int a, b, c, ans=0; memset(f, -1, sizeof(f)); //还是那个,不能让不合法状态成功转移 for (int i=0; i<m; ++i){ scanf("%d%d%d", &a, &b, &c); --a; --b; e[a][b]=e[b][a]=c; sum+=c; } for (int i=0; i<1<<n; ++i){ for (int j=0; j<n; ++j) if (i&(1<<j)) for (int k=0; k<n; ++k) if (i&(1<<k)) p[i]+=e[j][k]; p[i]>>=1; } f[1][0]=0; for (int i=1; i<(1<<n); ++i){ //当前集合 for (int j=0; j<n; ++j){ //当前挂的点 if (f[i][j]==-1) continue; for (int k=0; k<n; ++k){ //枚举新在j后加的点 if (i&(1<<k)) continue; if (e[j][k]==0) continue; //绝壁想不到的东西!果然转移要想清楚,限制一定要先治好,不能让不合法状态成功转移 up(f[i|(1<<k)][k], f[i][j]+e[j][k]); } int revi=(((1<<n)-1)^i)|(1<<j); //枚举新挂在j上的集合(要加上j以统计连j的边) for (int k=revi; k; k=(k-1)&revi) up(f[i|k][j], f[i][j]+p[k]); } } for (int i=0; i<(1<<n); ++i) up(ans, f[i][n-1]); printf("%d\n", sum-ans); return 0; }
#include<bits/stdc++.h> using namespace std; #define chmax(a,b) a=max(a,b) const int N=17; int n,m; int g[N][N]; int cost[1<<N]; int dp[N][1<<N]; int main() { cin>>n>>m; while(m--) { int u,v,w; cin>>u>>v>>w; u--; v--; g[u][v]=g[v][u]=w; } for(int mask=0;mask<(1<<n);mask++) for(int u=0;u<n;u++) for(int v=u+1;v<n;v++) if(mask&(1<<u) && mask&(1<<v)) cost[mask]+=g[u][v]; memset(dp,-1,sizeof(dp)); for(int mask=1;mask<(1<<n);mask+=2) dp[0][mask]=cost[mask]; for(int mask=0;mask<(1<<(n-1));mask++) for(int i=0;i<n-1;i++) { if(dp[i][mask]<0) continue; int _=(1<<n)-1-mask; for(int mask2=_;mask2>0;mask2=(mask2-1)&_) for(int j=0;j<n;j++) { if(!(mask2&(1<<j))) continue; if(!g[i][j]) continue; chmax(dp[j][mask|mask2],dp[i][mask]+g[i][j]+cost[mask2]); } } cout<<cost[(1<<n)-1]-dp[n-1][(1<<n)-1]<<'\n'; return 0; }
#include<bits/stdc++.h> #define rep(i,a,b) for (int i=(a); i<=(b); i++) #define subset(i,S) for (int i=(S); i; i=(i-1)&(S)) using namespace std; const int maxn = 16; int f[1<<maxn][maxn], cost[1<<maxn], w[maxn][maxn]; int n, m, a, b, c, S, total; void init() { rep (i, 1, (1<<n)-1) rep (x, 0, n-1) if (i>>x&1) rep (y, x+1, n-1) if (i>>y&1) cost[i] += w[x][y]; } int main() { scanf("%d%d", &n, &m); rep (i, 1, m) { scanf("%d%d%d", &a, &b, &c); a--; b--; w[a][b] = w[b][a] = c; total += c; } init(); memset(f, -1, sizeof f); f[1][0] = 0; rep (i, 1, (1<<n)-1) rep (j, 0, n-1) if ((i>>j&1) && ~f[i][j]) { S = (((1<<n)-1)^i)|(1<<j); subset (s, S) f[i|s][j] = max(f[i|s][j], f[i][j] + cost[s]); rep (k, 0, n-1) if (!(i>>k&1) && w[j][k]) f[i|(1<<k)][k] = max(f[i|(1<<k)][k], f[i][j] + w[j][k]); } printf("%d\n", total - f[(1<<n)-1][n-1]); return 0; }
#include<cstdio> #include<cstring> #include<algorithm> using namespace std; int n,m,map[16][16],x,y,z,mmh[1<<15][15],o[1<<15][15]; inline int work(int a,int b){ int mmh=0; for (int i=0;i<n;i++) if ((a>>i)&1) mmh+=o[b][i]; return mmh; } int main(){ scanf("%d%d",&n,&m); memset(map,0,sizeof(map)); memset(mmh,63,sizeof(mmh)); while(m--){ scanf("%d%d%d",&x,&y,&z);x--;y--; map[x][y]=map[y][x]=z; } for (int i=0;i<(1<<n);i++) for (int j=0;j<n;j++){ o[i][j]=0; for (int k=0;k<n;k++) if ((i>>k)&1) o[i][j]+=map[j][k]; } mmh[1][0]=0; for (int i=0;i<(1<<n);i++) for (int j=0;j<n;j++) if ((i>>j)&1){ for (int k=0;k<n;k++) if (map[j][k]) if (!((i>>k)&1)) mmh[i|(1<<k)][k]=min(mmh[i|(1<<k)][k],mmh[i][j]+work(i,1<<k)-map[j][k]); int u=(1<<n)-1-i; for (int p=u;p;p=(p-1)&u) mmh[i|p][j]=min(mmh[i|p][j],mmh[i][j]+work(i^(1<<j),p)); } printf("%d\n",mmh[(1<<n)-1][n-1]); }
#include<cstdio> #include<algorithm> using namespace std; const int N=16,M=N*N,K=1<<15,inf=1e9; int n,m,nm,i,j,k,x,p[K],v[K],f[N][K],mx[N]; int et,he[N],sum; struct edge{int l,to,v;}e[M]; void gmax(int &x,int k){if (k>x) x=k;} int main(){ scanf("%d%d",&n,&m);nm=1<<n; for (i=1;i<=m;i++){ int x,y,v;scanf("%d%d%d",&x,&y,&v);sum+=v; e[++et].l=he[x];he[x]=et;e[et].to=y;e[et].v=v; if (x==y) continue; e[++et].l=he[y];he[y]=et;e[et].to=x;e[et].v=v; } for (i=1;i<=n;i++) p[1<<i-1]=i; for (i=1;i<nm;i++){ int x=p[i&-i];v[i]=v[i-(i&-i)]; for (j=he[x];j;j=e[j].l) if ((i>>e[j].to-1)&1) v[i]+=e[j].v; } for (x=1;x<=n;x++) for (i=0;i<nm;i++) f[x][i]=-inf; for (i=1;i<nm;i+=2) f[1][i]=v[i]; for (i=1;i<nm-1;i++) if (i&1){ for (x=1;x<=n;x++) mx[x]=-inf; for (x=1;x<=n;x++){ if (f[x][i]==-inf) continue; for (j=he[x];j;j=e[j].l) gmax(mx[e[j].to],f[x][i]+e[j].v); } for (j=i;j<nm;j=(j+1)|i) for (k=j^i;k;k-=k&-k){ int x=p[k&-k]; gmax(f[x][j],mx[x]+v[j^i]); } } printf("%d",sum-f[n][nm-1]); }
#include<bits/stdc++.h> #define cmax(a,b) a=max(a,b) using namespace std; typedef long long ll; const ll N=20,V=(1ll<<15)+20,B=(ll)1e15; ll n,m,sx,S=0,ans; ll f[N][V],h[V],e[N][N]; int main() { ll i,j,ns,vs,hsx,u,v,w; scanf("%lld%lld",&n,&m); sx=1<<n; for(i=1;i<=m;i++) { scanf("%lld%lld%lld",&u,&v,&w);u--;v--; e[u][v]=e[v][u]=w; for(ns=0;ns<sx;ns++) { if((ns&(1<<u))&&(ns&(1<<v))) h[ns]+=w; } S+=w; } memset(f,-0x3f,sizeof(f)); f[0][1]=0; for(ns=1;ns<sx;ns++) { for(i=0;i<n;i++) { if((ns&(1<<i))==0) continue; if(f[i][ns]<-B) continue; //printf("#%lld %lld %lld\n",i,ns,f[i][ns]); hsx=(sx-1)^ns; if(hsx>0) { for(vs=hsx;vs;vs=(vs-1)&hsx) { cmax(f[i][ns|vs],f[i][ns]+h[vs|(1<<i)]); } } for(j=0;j<n;j++) { if((ns&(1<<j))||e[i][j]==0) continue; cmax(f[j][ns|(1<<j)],f[i][ns]+e[i][j]); } } } //printf("P%lld\n",f[n-1][sx-1]); ans=S-f[n-1][sx-1]; printf("%lld",ans); return 0; }
#include<iostream> #include<algorithm> #include<math.h> #include<string.h> #include<fstream> #include<map> #include<queue> #include<stack> using namespace std; long long n,m,sum,c[20][20]; long long f[1<<15][15],p[1<<15]; int main(){ memset(f,-1,sizeof(f)); cin>>n>>m; for(int i=1;i<=m;i++){ int u,v,w; cin>>u>>v>>w; u--,v--; sum+=w; c[u][v]=w,c[v][u]=w; } for(int i=0;i<=(1<<n)-1;i++){ for(int j=0;j<=n-1;j++){ if(i&(1<<j)){ for(int k=j+1;k<=n-1;k++){ if(i&(1<<k)){ p[i]=p[i]+c[j][k]; } } } } } f[1][0]=0; for(int i=0;i<=(1<<n)-1;i++){ for(int j=0;j<=n-1;j++){ if(f[i][j]==-1){ continue; } int x=(((1<<n)-1)^i)|(1<<j); for(int k=x;k;k=(k-1)&x){ f[i|k][j]=max(f[i|k][j],f[i][j]+p[k]); } for(int k=1;k<=n-1;k++){ if((!(i&(1<<k)))&&c[j][k]){ f[i|(1<<k)][k]=max(f[i|(1<<k)][k],f[i][j]+c[j][k]); } } } } long long ans=100000000000000; for(int i=0;i<=(1<<n)-1;i++){ for(int j=0;j<=n-1;j++){ if(i&(1<<j)){ ans=min(ans,sum-f[i][n-1]); } } } cout<<ans<<endl; return 0; }
#include<cstdio> #include<algorithm> #define fo(i,a,b) for(i=a;i<=b;i++) #define two(i) (1<<(i-1)) using namespace std; const int maxn=15+10,inf=1000000000; int f[(1<<16)+10][maxn],p[(1<<16)+10],id[(1<<16)+10]; int dis[maxn][maxn]; int i,j,k,l,r,s,t,n,m,now,all,ans,sum; int lowbit(int x){ return x&-x; } int main(){ scanf("%d%d",&n,&m); fo(i,1,n) id[two(i)]=i; all=(1<<n)-1; fo(i,1,m){ scanf("%d%d%d",&j,&k,&t); sum+=t; dis[j][k]=dis[k][j]=t; } fo(i,1,all){ now=id[lowbit(i)]; p[i]=p[i-two(now)]; fo(j,now+1,n) if ((i&two(j))) p[i]+=dis[now][j]; } fo(i,0,n) fo(j,0,all) f[j][i]=-inf; f[two(1)][1]=0; ans=-inf; fo(s,1,all){ fo(i,1,n){ r=s; while (r){ if ((r&two(i))) f[s][i]=max(f[s][i],f[(s-r)|two(i)][i]+p[r]); r=(r-1)&s; } fo(j,1,n) if (!(s&two(j))&&dis[i][j]) f[s|two(j)][j]=max(f[s|two(j)][j],f[s][i]+dis[i][j]); } if ((s&two(n))) ans=max(ans,f[s][n]); } printf("%d\n",sum-ans); }
#include<cstdio> #include<cstring> #include<algorithm> using namespace std; int e[15][15]; int n; int dp1[1<<15]; int dp2[1<<15][15]; int tmp[15]; void upd(int&x,int y){ if(x==-1 || x<y)x=y; } int main(){ int m, tot = 0; scanf("%d%d",&n,&m); while(m--){ int x,y,z; scanf("%d%d%d",&x,&y,&z); --x;--y; e[x][y] = e[y][x] = z; tot += z; } for(int mask=1; mask < (1<<n); mask ++){ int t; for(t=0; (mask&(1<<t)) == 0; t++); dp1[mask] = dp1[mask-(1<<t)]; for(int i=t+1; i<n; i++)if(mask&(1<<i)) dp1[mask] += e[t][i]; } memset(dp2,-1,sizeof(dp2)); for(int mask=1; mask < (1<<n); mask++)if((mask&1)!=0&&(mask&(1<<(n-1)))==0) dp2[mask][0] = dp1[mask]; for(int mask=1; mask < (1<<n); mask++){ memset(tmp,-1,sizeof(tmp)); for(int i=0; i<n; i++)if((mask&(1<<i))!=0 && dp2[mask][i] != -1) for(int j=0; j<n; j++)if((mask&(1<<j)) == 0 && e[i][j] != 0) upd(tmp[j], dp2[mask][i] + e[i][j]); int comp = (1<<n) - 1 - mask, b = 0; do{ for(int i=0; i<n; i++)if((b & (1<<i))!=0 && tmp[i]!=-1){ upd(dp2[mask + b][i], tmp[i] + dp1[b]); } }while(b=(b-comp)&comp); } printf("%d\n",tot - dp2[(1<<n)-1][n-1]); return 0; }
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; int n,m,g[101][101],w[1<<15],dp[1<<15][101]; int main() { scanf("%d%d",&n,&m);int sum=0;for(int i=1;i<=m;++i){int a,b,c;scanf("%d%d%d",&a,&b,&c);g[a][b]=g[b][a]=c;sum+=c;} for(int i=0;i<(1<<n);++i)for(int j=1;j<=n;++j)if(i&(1<<j-1))for(int k=j+1;k<=n;++k)if(i&(1<<k-1))w[i]+=g[j][k]; memset(dp,-1,sizeof(dp));for(int i=1;i<(1<<n);i+=2)dp[i][1]=w[i]; for(int i=0;i<(1<<n);++i) { for(int j=1;j<=n;++j)if((i&(1<<j-1))&&~dp[i][j]) { int tmp=(~i)&((1<<n)-1); for(int k=tmp;k;k=(k-1)&tmp) { for(int l=1;l<=n;++l)if((k&(1<<l-1))&&g[l][j])dp[i|k][l]=max(dp[i|k][l],dp[i][j]+w[k]+g[l][j]); } } } printf("%d\n",sum-dp[(1<<n)-1][n]);return 0; }
#include<bits/stdc++.h> using namespace std; int n,m,g[15][15],dp[1<<15][15],cost[1<<15],sum; int main() { memset(dp,-1,sizeof(dp)); memset(g,-1,sizeof(g)); scanf("%d%d",&n,&m); while(m--) { int a,b,c; scanf("%d%d%d",&a,&b,&c); g[a-1][b-1]=g[b-1][a-1]=c; sum+=c; } for(int i=1;i<(1<<n);i++) for(int j=0;j<n;j++) if((1<<j)&i) for(int k=j+1;k<n;k++) if((1<<k)&i&&g[j][k]>-1) cost[i]+=g[j][k]; for(int i=1;i<1<<n;i+=2) dp[i][0]=cost[i]; for(int i=1;i<(1<<n);i+=2) for(int j=0;j<n;j++) if(dp[i][j]>-1) for(int k=(1<<n)-1-i;k;k=(k-1)&(1<<n)-1-i) for(int l=0;l<n;l++) if(1<<l&k&&g[j][l]>-1) dp[i|k][l]=max(dp[i|k][l],dp[i][j]+g[j][l]+cost[k]); printf("%d\n",sum-dp[(1<<n)-1][n-1]); return 0; }
#include<cstdio> #include<algorithm> #include<cstdlib> #include<cstring> #define U ((1<<n)-1) using namespace std; const int N = 16; int a[N+2][N+2]; int cost[(1<<N)+2]; int dp[(1<<N)+2][N+2]; int n,m; void update(int &x,int y) {x = max(x,y);} int main() { scanf("%d%d",&n,&m); for(int i=1; i<=m; i++) { int x,y,z; scanf("%d%d%d",&x,&y,&z); x--; y--; a[x][y] = a[y][x] = z; } for(int i=0; i<=U; i++) { cost[i] = 0; for(int j=0; j<n; j++) { if((i&(1<<j))==0) continue; for(int k=j+1; k<n; k++) { if((i&(1<<k))==0) continue; cost[i] += a[j][k]; } } } memset(dp,-1,sizeof(dp)); dp[1][0] = 0; for(int i=1; i<=U; i+=2) { for(int j=0; j<n; j++) { if(dp[i][j]==-1) continue; if((i&(1<<j))==0) continue; for(int k=0; k<n; k++) { if(a[j][k]==0) continue; if(i&(1<<k)) continue; update(dp[i|(1<<k)][k],dp[i][j]+a[j][k]); } int c = (U-i)|(1<<j); for(int k=c; k>=0; k=(k==0 ? -1 : (k-1)&c)) { update(dp[i|k][j],dp[i][j]+cost[k]); } } } int ans = 0; for(int i=(U>>1)+2; i<=U; i+=2) ans = max(ans,dp[i][n-1]); printf("%d\n",cost[U]-ans); return 0; }
#include<bits/stdc++.h> using namespace std; vector<pair<int,int> >v[15]; int n,m,ans,b[65536],dp[65536][15]; int main(){ cin>>n>>m; for(int i=0;i<m;i++){ int x,y,len;cin>>x>>y>>len;x--;y--; v[x].push_back(make_pair(y,len));v[y].push_back(make_pair(x,len)); ans+=len; } for(int i=0;i<(1<<n);i++) { for(int j=0;j<n;j++) if(!(i&(1<<j))&&!b[i+(1<<j)]) { b[i+(1<<j)]=b[i]; for(int k=0;k<v[j].size();k++) if(i&(1<<v[j][k].first)) b[i+(1<<j)]+=v[j][k].second; } } memset(dp,-1,sizeof(dp)); dp[1][0]=0; for(int i=0;i<(1<<n);i++) for(int j=0;j<n;j++) if(dp[i][j]!=-1&&(i&1<<j)){ for(int k=0;k<v[j].size();k++) if(!(i&(1<<v[j][k].first))) dp[i|(1<<v[j][k].first)][v[j][k].first]=max(dp[i|(1<<v[j][k].first)][v[j][k].first],dp[i][j]+v[j][k].second); for(int k=((1<<n)-1-i)|(1<<j);k;k=(k-1)&(((1<<n)-1-i)|(1<<j))) if(k&(1<<j)) dp[i|k][j]=max(dp[i|k][j],dp[i][j]+b[k]); } cout<<ans-dp[(1<<n)-1][n-1]; }
#include <stdio.h> #include <string.h> #include <algorithm> #include <math.h> #define rep(i,st,ed) for (int i=st;i<=ed;++i) #define lb(x) (x&-x) #define get(x) ((int)log2(x)) const int INF=0x3f3f3f3f; const int N=66666; int f[17][N],sum[N]; int v[17][17]; int read() { int x=0,v=1; char ch=getchar(); for (;ch<'0'||ch>'9';v=(ch=='-')?(-1):v,ch=getchar()); for (;ch<='9'&&ch>='0';x=x*10+ch-'0',ch=getchar()); return x*v; } void upd(int &x,int v) { (x<v)?(x=v):0; } int main(void) { int n=read(),m=read(); int prt=0; rep(i,1,m) { int x=read()-1,y=read()-1; v[x][y]=v[y][x]=read(),prt+=v[x][y]; } for (int S=1;S<(1<<n);++S) { int x=get(lb(S)); sum[S]=sum[S-(1<<x)]; rep(i,0,n-1) if (v[i][x]&&(S>>i&1)) { sum[S]+=v[i][x]; } } rep(i,0,n-1) for (int S=0;S<(1<<n);++S) f[i][S]=-INF; int ans=0; f[0][1]=0; for (int S=1;S<(1<<n);++S) { if (!(S&1)) continue; rep(i,0,n-1) { if (!((S>>i))&1) continue; for (int T=S;T;T=(T-1)&S) { if (T>>i&1) upd(f[i][S],f[i][S-T+(1<<i)]+sum[T]); } for (int T=(1<<n)-1-S,j;T;T-=lb(T)) { j=get(lb(T)); if (v[i][j]) upd(f[j][S+(1<<j)],f[i][S]+v[i][j]); } } if (S>>(n-1)&1) upd(ans,f[n-1][S]); } printf("%d\n", prt-ans); return 0; }
#include <bits/stdc++.h> #define rep(i, x, y) for (int i = x; i <= y; i++) using namespace std; const int N = 16; int n, m, tot, sz, dp[N][1 << N], e[N][N], val[1 << N]; // val: 预处理每个联通块所有边的总值 void pre() { rep(s, 0, sz) rep(i, 1, n) if ((s >> (i - 1)) & 1) rep(j, i + 1, n) if ((s >> (j - 1)) & 1) val[s] += e[i][j]; } void chkmax(int &x, int y) { x = max(x, y); } int main() { cin >> n >> m; sz = (1 << n) - 1; rep(i, 1, m) { int x, y, z; scanf("%d%d%d", &x, &y, &z); e[x][y] = e[y][x] = z; tot += z; } pre(); memset(dp, -1, sizeof(dp)); dp[1][1] = 0; rep(s, 1, sz) rep(i, 1, n) if (((s >> (i - 1)) & 1) && dp[i][s] != -1) { rep(j, 1, n) if (!((s >> (j - 1)) & 1) && e[i][j]) chkmax(dp[j][s | (1 << (j - 1))], dp[i][s] + e[i][j]); // e[i][j] 作为桥边 int S = (sz ^ s) | (1 << (i - 1)); for (int j = S; j; j = (j - 1) & S) if (j & (1 << (i - 1))) chkmax(dp[i][s | j], dp[i][s] + val[j]); } printf("%d\n", tot - dp[n][sz]); return 0; }
#include<iostream> #include<cstring> #include<cstdio> #include<algorithm> #include<cmath> #include<set> #include<bitset> #include<map> #define fo(i,a,b) for(int i=a;i<=b;i++) #define fd(i,a,b) for(int i=a;i>=b;i--) using namespace std; typedef long long LL; typedef double db; int get(){ char ch; while(ch=getchar(),(ch<'0'||ch>'9')&&ch!='-'); if (ch=='-'){ int s=0; while(ch=getchar(),ch>='0'&&ch<='9')s=s*10+ch-'0'; return -s; } int s=ch-'0'; while(ch=getchar(),ch>='0'&&ch<='9')s=s*10+ch-'0'; return s; } const int N = 17; const int L = 32775; const int INF = 2e+9; int f[L][N],val[L]; int n,m; struct edge{ int x,y,l; }e[N*N]; int d[N][N]; int main(){ n=get();m=get(); int sum=0; fo(i,1,m){ e[i].x=get();e[i].y=get();e[i].l=get(); sum+=e[i].l; d[e[i].x][e[i].y]=d[e[i].y][e[i].x]=e[i].l; } fo(t,1,(1<<n)-1){ fo(i,1,m) if (((1<<(e[i].x-1))&t)>0&&((1<<(e[i].y-1))&t)>0)val[t]+=e[i].l; } fo(t,0,(1<<n)-1)fo(x,1,n)f[t][x]=-1; fo(t,1,(1<<(n-1))-1) if (t&1)f[t][1]=val[t]; fo(t,1,(1<<n)-1) fo(x,1,n) if (f[t][x]>-1){ int u=((1<<n)-1)^t; int p=u; for(;u;u=(u-1)&p){ fo(y,1,n) if (((1<<(y-1))&u)>0&&d[x][y])f[t^u][y]=max(f[t^u][y],f[t][x]+d[x][y]+val[u]); } } printf("%d\n",sum-f[(1<<n)-1][n]); return 0; }
#pragma GCC optmize(3) #include <cstdio> #include <iostream> #include <cstring> #include <ctime> #define rus register unsigned short #define rs register short using namespace std; const int N = 15; int G[N][N], dp[N][1 << N], cost[N][1 << N]; int n, m; inline void upd(int &x, int y) { if (x == -1) x = y; else x = min(x, y); } inline int set_set(int x, int y) { int ret = 0; for (rs i = 0; i < n; i ++) if (x & (1 << i)) ret += cost[i][y]; return ret; } int main() { memset(dp, -1, sizeof dp); scanf("%d%d", &n, &m); for (int i = 1, x, y, z; i <= m; i ++) { scanf("%d%d%d", &x, &y, &z); x --; y --; G[x][y] = G[y][x] = z; } int t = 1 << n; for (rus s = 1; s < t; s ++) for (rs i = 0; i < n; i ++) if (s & (1 << i)) { for (rs j = 0; j < n; j ++) cost[j][s] += G[i][j]; } dp[0][1] = 0; for (rus s = 1; s < t; s += 2) { rus u = s ^ (t - 1); for (rs i = 0; i < n; i ++) if (s & (1 << i)) { if (dp[i][s] == -1) continue; for (rs j = 0; j < n; j ++) if (!(s & (1 << j)) && G[i][j]) upd(dp[j][s | (1 << j)], dp[i][s] + cost[j][s ^ (1 << i)]); for (rus v = u; v; v = (v - 1) & u) upd(dp[i][v | s], dp[i][s] + set_set(v, s ^ (1 << i))); } } printf("%d\n", dp[n - 1][t - 1]); return 0; }
#include <bits/stdc++.h> using namespace std; #define fo(i,s,t) for(int i = s; i <= t; ++ i) const int maxn = 15; int n, m, f[1<<maxn][maxn], cost[1<<maxn], dis[maxn][maxn]; int calc(int s,int t){return cost[s|t]-cost[s]-cost[t];} void upd(int &a,int b){a = (a < b ? a : b);} int main() { scanf("%d%d",&n,&m); fo(i,1,m) { int x, y, z; scanf("%d%d%d",&x,&y,&z); -- x; -- y; dis[x][y] = dis[y][x] = z; } fo(i,0,(1<<n)-1) fo(j,0,n-1) if(i&(1<<j)) fo(k,j+1,n-1) if((i&(1<<k))&&dis[j][k]) cost[i] += dis[j][k]; memset(f,0x3f,sizeof(f)); f[1][0] = 0; fo(s,0,(1<<n)-1) fo(i,0,n-1) if(f[s][i]!=0x3f3f3f3f&&(s&(1<<i))) { fo(j,0,n-1) if((!(s&(1<<j)))&&dis[i][j]) upd(f[s|(1<<j)][j], f[s][i] + calc(s-(1<<i),(1<<j))); int t = (1<<n)-1-s; for(int y = t; y >= 1; y = ((y-1)&t)) upd(f[s|y][i], f[s][i] + calc(s-(1<<i),y)); } printf("%d\n",f[(1<<n)-1][n-1]); return 0; }
#include <cstdio> #include <algorithm> #define Rep(i, n) for (int i = 1; i <= n; i ++) #define Rep0(i, n) for (int i = 0; i <= n; i ++) #define RepG(i, x) for (int i = head[x]; i; i = edge[i].next) using namespace std; const int N = 21; const int N0 = 33000; int g[N][N], t0[N0], t1[N0][N], n, m; int f[N][N0][2]; int cut(int s1, int s2){ return t0[s1 | s2] - t0[s1] - t0[s2];} #define g(i) (1 << (i - 1)) int main() { scanf("%d%d", &n, &m); Rep(i, m) { int x, y, z; scanf("%d%d%d", &x, &y, &z); g[x][y] += z, g[y][x] += z; } Rep0(i, (1 << n) - 1) { Rep(j, n) if (i & (1 << (j - 1))){ for (int k = j; k <= n; k ++) if (i & (1 << (k - 1))) t0[i] += g[j][k]; Rep(k, n) t1[i][k] += g[k][j]; } } Rep(i, n) Rep0(s, (1 << n) - 1) f[i][s][0] = f[i][s][1] = ~0u>>2; f[1][1][0] = 0; Rep0(s, (1 << n) - 1) Rep(i, n) if (s & g(i)){ int tmp = s ^ g(i); Rep(j, n) if ((tmp & g(j)) && g[i][j]) f[i][s][0] = min(f[i][s][0], f[j][tmp][1] - g[i][j] + t1[tmp][i]); for (int s0 = tmp; ; s0 = tmp & (s0 - 1)) { f[i][s][1] = min(f[i][s][1], f[i][s ^ s0][0] + cut(s0, tmp ^ s0)); if (!s0) break; } } printf("%d\n", f[n][(1 << n) - 1][1]); return 0; } /* 5 6 1 5 100 1 4 100 1 2 100 2 3 100 3 4 100 4 5 100 */
/********************* * Author: xuziyuan * *********************/ #include <bits/stdc++.h> #define rep(i,n) for(int i=0;i<n;i++) #define repn(i,n) for(int i=1;i<=n;i++) #define LL long long #define pii pair <int,int> #define fi first #define se second #define pb push_back #define mpr make_pair using namespace std; const LL MOD=1e9+7; int n,m,x,y,z,a[20][20],val[40000],dp[40000][20],dp2[40000],sum=0; int main() { cin>>n>>m; rep(i,m) { cin>>x>>y>>z; x--; y--; a[x][y]=a[y][x]=z; sum+=z; } rep(i,1<<n) rep(j,n) for(int k=j+1;k<n;k++) if((i&(1<<j))>0&&(i&(1<<k))>0) val[i]+=a[j][k]; rep(i,39995) rep(j,18) dp[i][j]=-1; rep(i,1<<n) if((i&1)>0) dp[i][0]=val[i]; rep(i,1<<n) { rep(j,n) { if(dp[i][j]==-1) continue; rep(k,n) { if(a[j][k]==0||(i&(1<<k))>0) continue; dp[i|(1<<k)][k]=max(dp[i|(1<<k)][k],dp[i][j]+a[j][k]); } } } rep(i,39995) dp2[i]=-1; rep(i,1<<n) dp2[i]=dp[i][n-1]; rep(i,1<<n) { if(dp2[i]==-1) continue; rep(j,n) { if((i&(1<<j))==0) continue; int rest=(1<<n)-1-i; for(int k=rest;k>0;k=(k-1)&rest) dp2[i|k]=max(dp2[i|k],dp2[i]+val[k|(1<<j)]); } } cout<<sum-dp2[(1<<n)-1]<<endl; return 0; }
#include<bits/stdc++.h> using namespace std; int e[20][20]; int v[33333]; int f[33333][20]; int n,m,ans; int main(){ scanf("%d%d",&n,&m); for (int i=1;i<=m;i++){ int x,y,v; scanf("%d%d%d",&x,&y,&v); e[--x][--y]=v; e[y][x]=v; ans+=v; } for (int i=0;i<1<<n;i++) for (int j=0;j<n;j++) if (i&(1<<j)) for (int k=j+1;k<n;k++) if (i&(1<<k)) v[i]+=e[j][k]; memset(f,233,sizeof(f)); for (int i=0;i<1<<n;i++) if (i&1) f[i][0]=v[i]; for (int i=0;i<1<<n;i++) for (int j=0;j<n;j++) if (f[i][j]>=0){ //printf("%d %d %d\n",i,j,f[i][j]); int res=(1<<n)-1-i; for (int ano=res;ano;ano=(ano-1)&res) for (int k=0;k<n;k++) if (e[j][k]&&!(i&(1<<k))&&(ano&(1<<k))) f[i|ano][k]=max(f[i|ano][k],f[i][j]+v[ano]+e[j][k]); } printf("%d\n",ans-f[(1<<n)-1][n-1]); }
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; typedef long long ll; int n, m, map[16][16]; ll in[1 << 16], f[1 << 16][16]; int main() { scanf("%d%d", &n, &m); int x, y; for (int i = 1; i <= m; i++) scanf("%d%d", &x, &y), x--, y--, scanf("%d", &map[x][y]), map[y][x] = map[x][y]; for (int i = 0; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) for (int k = j + 1; k < n; k++) if (i & (1 << k)) in[i] += map[j][k]; memset(f, -0x3f, sizeof(f)); f[1][0] = 0; for (int i = 1; i < (1 << n); i++) for (int j = 0; j < n; j++) if (i & (1 << j)) { int x = i ^ (1 << j); for (int k = 0; k < n; k++) if (i & (1 << k) && map[k][j]) f[i][j] = max(f[i][j], f[x][k] + map[k][j]); for (int k = x; k; k = (k - 1) & x) f[i][j] = max(f[i][j], f[i ^ k][j] + in[1 << j ^ k]); } printf("%lld\n", in[(1 << n) - 1] - f[(1 << n) - 1][n - 1]); }