# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
86955 |
2018-11-28T17:47:13 Z |
Alexa2001 |
Toll (APIO13_toll) |
C++17 |
|
14 ms |
14456 KB |
#include <bits/stdc++.h>
using namespace std;
/// 18:01
typedef long long ll;
const int Nmax = 3e5 + 25;
int N, M, K, comps;
struct Edge
{
int x, y, c;
bool operator < (const Edge &other) const
{
return c < other.c;
}
};
Edge edge[Nmax];
ll all_people[Nmax], sum[Nmax], people_sum[Nmax];
bool used_edge[Nmax];
int code[Nmax], where[Nmax], people[Nmax];
vector<Edge> E;
vector<int> c[Nmax], v[Nmax];
struct forest
{
int T[Nmax];
/*int boss(int x)
{
if(x == T[x]) return x;
int y = x, z;
while(x != T[x]) x = T[x];
while(y != x) z = T[y], T[y] = x, y = z;
return x;
}*/
int boss(int x)
{
if(x == T[x]) return x;
return T[x] = boss(T[x]);
}
void init(int n)
{
int i;
for(i=0; i<=n; ++i) T[i] = i;
}
bool unite(int x, int y)
{
x = boss(x); y = boss(y);
if(x == y) return 0;
T[x] = y;
return 1;
}
};
forest F;
void delete_redundant()
{
forest F;
F.init(N);
int i;
for(i=1; i<=K; ++i) F.unite(edge[i].x, edge[i].y);
for(; i<=K+M; ++i)
if(F.unite(edge[i].x, edge[i].y))
used_edge[i] = 1;
F.init(N);
for(i=K+1; i<=K+M; ++i)
if(used_edge[i])
{
F.unite(edge[i].x, edge[i].y);
v[edge[i].x].push_back(edge[i].y);
c[edge[i].x].push_back(edge[i].c);
v[edge[i].y].push_back(edge[i].x);
v[edge[i].y].push_back(edge[i].c);
}
comps = 0;
for(i=1; i<=N; ++i)
{
if(!code[F.boss(i)]) code[F.boss(i)] = ++comps;
where[i] = code[F.boss(i)];
}
for(i=1; i<=N; ++i)
all_people[where[i]] += people[i];
for(i=1; i<=K+M; ++i)
{
edge[i].x = where[edge[i].x];
edge[i].y = where[edge[i].y];
}
for(i=K+1; i<=K+M; ++i)
if(!used_edge[i] && edge[i].x != edge[i].y)
E.push_back(edge[i]);
sort(E.begin(), E.end());
}
void dfs3(int node, int dad = 0)
{
int i;
sum[node] = 0;
people_sum[node] = all_people[node];
for(i=0; i<v[node].size(); ++i)
{
int son = v[node][i], cost = c[node][i];
if(son == dad) continue;
dfs3(son, node);
sum[node] += sum[son] + cost * people_sum[son];
people_sum[node] += people_sum[son];
}
}
ll solve(int mask)
{
int i, j;
F.init(comps);
// for(i=1; i<=K; ++i)
// if(mask & (1<<i) && !F.unite(edge[i].x, edge[i].y)) return -1;
vector<int> relevant;
vector<Edge> final_edges;
for(i=1; i<=K; ++i)
if(mask & (1<<i)) relevant.push_back(i);
for(auto it : E)
{
int nx = F.boss(it.x), ny = F.boss(it.y);
if(nx == ny) continue;
bool used_edge = 1;
for(j=0; j<relevant.size(); ++j)
{
Edge Q = edge[relevant[j]];
if(F.boss(Q.x) == nx && F.boss(Q.y) == ny)
{
edge[relevant[j]].c = it.c;
swap(relevant[j], relevant.back());
relevant.pop_back();
used_edge = 0;
break;
}
}
it.c = 0;
if(used_edge) final_edges.push_back(it);
F.unite(it.x, it.y);
}
if(relevant.size()) return -1;
for(i=1; i<=K; ++i)
if(mask & (1<<i)) final_edges.push_back(edge[i]);
for(i=1; i<=comps; ++i) v[i].clear(), c[i].clear();
for(auto e : final_edges)
{
v[e.x].push_back(e.y);
v[e.y].push_back(e.x);
c[e.x].push_back(e.c);
c[e.y].push_back(e.c);
}
dfs3(where[1]);
return sum[where[1]];
}
int main()
{
// freopen("input", "r", stdin);
cin.sync_with_stdio(false);
cin >> N >> M >> K;
int i;
for(i=1; i<=M; ++i)
cin >> edge[K+i].x >> edge[K+i].y >> edge[K+i].c;
sort(edge+K+1, edge+K+M+1);
for(i=1; i<=K; ++i)
cin >> edge[i].x >> edge[i].y;
for(i=1; i<=N; ++i) cin >> people[i];
delete_redundant();
ll ans = -1;
for(i=0; i<(1<<K); ++i) ans = max(ans, solve(i<<1));
cout << ans << '\n';
return 0;
}
Compilation message
toll.cpp: In function 'void dfs3(int, int)':
toll.cpp:122:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0; i<v[node].size(); ++i)
~^~~~~~~~~~~~~~~
toll.cpp: In function 'll solve(int)':
toll.cpp:155:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(j=0; j<relevant.size(); ++j)
~^~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
14456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
14456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
14456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
14456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
14456 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |