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#include<
cstdio>
#include<
bits/stdc++.h>
#include<cstring>
using namespace std;
#include<algorithm>
const int maxn= 600100;
#include<queue>
#include<vector>
#include<map>
#include<set>
#define maxn 100009
using namespace std;
using namespace std;
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int a[maxn], b[maxn], c[maxn], q[maxn];
typedef struct
typedef struct
{
{
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int l,r;
int l,r;
}node
;
}node
1
;
node
seg[maxn];
node
1
seg[maxn];
typedef struct
typedef struct
{
{
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int u,v,w,id;
int u,v,w,id;
}node
1
;
}node
2
;
node
1
edge[maxn];
node
2
edge[maxn];
bool cmp(node
1
x,node
1
y)
bool cmp(node
2
x,node
2
y)
{
{
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return x.w<y.w;
return x.w<y.w;
}
}
int p[maxn];
int p[maxn];
int findset(int x)
int findset(int x)
{
{
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return x==p[x]?x:p[x]=findset(p[x]);
return x==p[x]?x:p[x]=findset(p[x]);
}
}
void unionset(int x,int y)
void unionset(int x,int y)
{
{
p[findset(x)]=findset(y);
p[findset(x)]=findset(y);
}
}
int vis[maxn];
int vis[maxn];
bool wa[maxn];
bool wa[maxn];
set<int>st;
set<int>st;
struct Edge
struct Edge
{
{
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int to,id;
int to,id;
};
};
vector<Edge>G[maxn];
vector<Edge>G[maxn];
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int time;
int dfn[maxn],low[maxn];
int type[maxn];
int type[maxn];
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map<
long long,
int>mp;
map<
int,
int>mp;
void dfs(int cur,int fa)
vector< vector<int> > V[maxn];
{
vector<int>tmp[maxn], cr;
vis[cur]=1;
vector<int>buf;
dfn[cur]=low[cur]=++time;
bool NO[maxn];
for(int i=0;i<G[cur].size();i++)
{
int fdset(int x){
int j=G[cur][i].to;
return q[x] == x ? x : q[x] = fdset(q[x]);
if(j!=fa&&vis[j]==1)
}
low[cur]=min(low[cur],dfn[j]);
if(!vis[j])
void unset(int x, int y){
{
q[fdset(x)] = fdset(y);
dfs(j,cur);
}
low[cur]=min(low[cur],low[j]
);
if(low[j]>dfn[cur]&&type[G[cur][i].id]==0)
void doit(vector <int> &G){
{
cr.clear();
type[G[cur][i].id]=3;
int lb = G[0];
}
for(int j = 1; j < (int)G.size(); j++){
}
int u = a[G[j]], v = b[G[j]];
}
u = findset(u);v = findset(v);
vis[cur]=2;
if(fdset(u) == fdset(v)){
NO[lb] = 1;
}
unset(u, v);
cr.push_back(u);cr.push_back(v
);
if(NO[lb])break;
}
for(auto x: cr)q[x] = x;
}
void check(int x){
for(int i = 0; i < (int)V[x].size(); i++){
doit(V[x][i]);
}
}
}
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int main()
int main()
{
{
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int n,m;
int n,m;
scanf("%d%d",&n,&m);
scanf("%d%d",&n,&m);
for(int i=1;i<=n;i++)
for(int i=1;i<=n;i++)
{
p[i]=i;
p[i]=i;
q[i] = i;
for(int i=0;i<m;i++)
}
{
for(int i=0;i<m;i++)
scanf("%d%d%d",&edge[i].u,&edge[i].v,&edge[i].w);
{
edge[i]
.id=i+1;
scanf("%d%d%d",&edge[i].u,&edge[i].v,&edge[i].w);
}
a[i+1] = edge[i].u;
sort(edge,edge+m,cmp);
b[i+1] = edge[i].v;
int cur=0,tot=0;
c[i+1] =
edge[i]
.w;
while(cur<m)
edge[i]
.id=i+1;
{
}
seg[tot].l=cur;
sort(edge,edge+m,cmp);
while(cur+1<m&&edge[cur].w==edge[cur+1].w)
int cur=0,tot=0;
cur++;
while(cur<m)
seg[tot].r=cur;
{
cur++;tot++;
seg[tot].l=cur;
}
while(cur+1<m&&edge[cur].w==edge[cur+1].w)
for(int i=0;i<tot;i++)
cur++;
{
seg[tot].r=cur;
st.clear();mp
.clear();
mp[edge[cur].w] = tot;
for(int j=seg[i].l;j<=seg[i].r;j++)
cur++;tot++;
{
}
Edge e;
int x=findset(edge[j].v);
int q;
int y=findset(edge[j].u);
scanf("%d", &q);
if(x==y)
for(int i = 1; i <= q; i++){
{
buf.clear();buf.push_back(i);
type[edge[j].id]=1;continue;
cr
.clear();
}
int num;
else
scanf("%d", &num);
{
for(int j = 0; j < num; j++){
if(x>y)swap(x,y);
int x;
long long num=(long long)x*maxn+y;
scanf("%d", &x);
if(!mp[num]){
int w = mp[c[x]];
mp[num]=edge[j].id;
if((int)tmp[w].size() == 0){
e.to=y;e.id=edge[j].id;
tmp[w].push_back(i);
G[x].push_back(e);
tmp[w].push_back(x);
st.insert(x
);
cr.push_back(w
);
e.to=x;
}
G[y].push_back(e
);
else{
st.insert(y);}
tmp[w].push_back(x
);
else
}
{
buf.push_back(x);
type[edge[j].id]=2;
}
type[mp[num]]=2;
for(auto x: cr){
}
V[x].push_back(tmp[x]);
}
tmp[x].clear();
}
}
set<int>::iterator it;
doit(buf);
time=0;
}
for(it=st.begin();it!=st.end();++it)
for(int i=0;i<tot;i++)
{
{
if(!vis[*it])dfs(*it,-1);
check(i);
}
for(int j = seg[i].l; j <= seg[i].r; j++){
for(int j=seg[i].l;j<=seg[i].r;j++)
unionset(edge[j].u,
edge[j].v);
{
}
if(type[edge[j].id]==0)
}
type[edge[j].id]=2;
for(int i
= 1; i <= q;
i++)
unionset(edge[j].u,
edge[j].v);
}
for(it=st.begin();it!=st.end();++it)
{vis[*it]=0;G[*it].clear();}
}
for(int i
=1;i<=m;
i++)
{
{
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if(
type
[i]
==1)printf("none\n");
if(
NO
[i]
){
else if(type[i]==2)printf("at least one\n
");
puts("NO
");
else
if(type[i]==3)printf("any\n
");
}
}
else
{
puts("YES
");
}
}
return 0;
}
}
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#include<cstdio> #include<cstring> #include<algorithm> #include<queue> #include<vector> #include<map> #include<set> #define maxn 100009 using namespace std; typedef struct { int l,r; }node; node seg[maxn]; typedef struct { int u,v,w,id; }node1; node1 edge[maxn]; bool cmp(node1 x,node1 y) { return x.w<y.w; } int p[maxn]; int findset(int x) { return x==p[x]?x:p[x]=findset(p[x]); } void unionset(int x,int y) { p[findset(x)]=findset(y); } int vis[maxn]; bool wa[maxn]; set<int>st; struct Edge { int to,id; }; vector<Edge>G[maxn]; int time; int dfn[maxn],low[maxn]; int type[maxn]; map<long long,int>mp; void dfs(int cur,int fa) { vis[cur]=1; dfn[cur]=low[cur]=++time; for(int i=0;i<G[cur].size();i++) { int j=G[cur][i].to; if(j!=fa&&vis[j]==1) low[cur]=min(low[cur],dfn[j]); if(!vis[j]) { dfs(j,cur); low[cur]=min(low[cur],low[j]); if(low[j]>dfn[cur]&&type[G[cur][i].id]==0) { type[G[cur][i].id]=3; } } } vis[cur]=2; } int main() { int n,m; scanf("%d%d",&n,&m); for(int i=1;i<=n;i++) p[i]=i; for(int i=0;i<m;i++) { scanf("%d%d%d",&edge[i].u,&edge[i].v,&edge[i].w); edge[i].id=i+1; } sort(edge,edge+m,cmp); int cur=0,tot=0; while(cur<m) { seg[tot].l=cur; while(cur+1<m&&edge[cur].w==edge[cur+1].w) cur++; seg[tot].r=cur; cur++;tot++; } for(int i=0;i<tot;i++) { st.clear();mp.clear(); for(int j=seg[i].l;j<=seg[i].r;j++) { Edge e; int x=findset(edge[j].v); int y=findset(edge[j].u); if(x==y) { type[edge[j].id]=1;continue; } else { if(x>y)swap(x,y); long long num=(long long)x*maxn+y; if(!mp[num]){ mp[num]=edge[j].id; e.to=y;e.id=edge[j].id; G[x].push_back(e); st.insert(x); e.to=x; G[y].push_back(e); st.insert(y);} else { type[edge[j].id]=2; type[mp[num]]=2; } } } set<int>::iterator it; time=0; for(it=st.begin();it!=st.end();++it) { if(!vis[*it])dfs(*it,-1); } for(int j=seg[i].l;j<=seg[i].r;j++) { if(type[edge[j].id]==0) type[edge[j].id]=2; unionset(edge[j].u,edge[j].v); } for(it=st.begin();it!=st.end();++it) {vis[*it]=0;G[*it].clear();} } for(int i=1;i<=m;i++) { if(type[i]==1)printf("none\n"); else if(type[i]==2)printf("at least one\n"); else if(type[i]==3)printf("any\n"); } }
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#include<bits/stdc++.h> using namespace std; const int maxn= 600100; using namespace std; int a[maxn], b[maxn], c[maxn], q[maxn]; typedef struct { int l,r; }node1; node1 seg[maxn]; typedef struct { int u,v,w,id; }node2; node2 edge[maxn]; bool cmp(node2 x,node2 y) { return x.w<y.w; } int p[maxn]; int findset(int x) { return x==p[x]?x:p[x]=findset(p[x]); } void unionset(int x,int y) { p[findset(x)]=findset(y); } int vis[maxn]; bool wa[maxn]; set<int>st; struct Edge { int to,id; }; vector<Edge>G[maxn]; int type[maxn]; map<int, int>mp; vector< vector<int> > V[maxn]; vector<int>tmp[maxn], cr; vector<int>buf; bool NO[maxn]; int fdset(int x){ return q[x] == x ? x : q[x] = fdset(q[x]); } void unset(int x, int y){ q[fdset(x)] = fdset(y); } void doit(vector <int> &G){ cr.clear(); int lb = G[0]; for(int j = 1; j < (int)G.size(); j++){ int u = a[G[j]], v = b[G[j]]; u = findset(u);v = findset(v); if(fdset(u) == fdset(v)){ NO[lb] = 1; } unset(u, v); cr.push_back(u);cr.push_back(v); if(NO[lb])break; } for(auto x: cr)q[x] = x; } void check(int x){ for(int i = 0; i < (int)V[x].size(); i++){ doit(V[x][i]); } } int main() { int n,m; scanf("%d%d",&n,&m); for(int i=1;i<=n;i++){ p[i]=i;q[i] = i; } for(int i=0;i<m;i++) { scanf("%d%d%d",&edge[i].u,&edge[i].v,&edge[i].w); a[i+1] = edge[i].u; b[i+1] = edge[i].v; c[i+1] = edge[i].w; edge[i].id=i+1; } sort(edge,edge+m,cmp); int cur=0,tot=0; while(cur<m) { seg[tot].l=cur; while(cur+1<m&&edge[cur].w==edge[cur+1].w) cur++; seg[tot].r=cur; mp[edge[cur].w] = tot; cur++;tot++; } int q; scanf("%d", &q); for(int i = 1; i <= q; i++){ buf.clear();buf.push_back(i); cr.clear(); int num; scanf("%d", &num); for(int j = 0; j < num; j++){ int x; scanf("%d", &x); int w = mp[c[x]]; if((int)tmp[w].size() == 0){ tmp[w].push_back(i); tmp[w].push_back(x); cr.push_back(w); } else{ tmp[w].push_back(x); } buf.push_back(x); } for(auto x: cr){ V[x].push_back(tmp[x]); tmp[x].clear(); } doit(buf); } for(int i=0;i<tot;i++) { check(i); for(int j = seg[i].l; j <= seg[i].r; j++){ unionset(edge[j].u, edge[j].v); } } for(int i = 1; i <= q; i++) { if(NO[i]){ puts("NO"); } else{ puts("YES"); } } return 0; }
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