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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#162615 | #239. Maximum Weighted Matching | SolitaryDream# | 100 ✓ | 553ms | 31164kb | C++14 | 3.0kb | 2023-09-03 15:11:18 | 2023-09-03 15:11:19 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e5 + 10;
const int p = 1e9 + 7;
int n, m;
struct Info {
int wei, num;
};
Info Merge(Info u, Info v) {
return {u.wei + v.wei, (int)(1ll * u.num * v.num % p)};
}
Info Max(Info u, Info v) {
if (v.wei == u.wei) return {u.wei, (u.num + v.num) % p};
return (u.wei > v.wei ? u : v);
}
struct Edge {
Info f[2][2];
Edge() {
f[0][1] = f[1][0] = f[0][0] = f[1][1] = {(int)-1e9, 0};
}
Edge(int x, int y, int z) {
f[0][0] = {0, 1};
f[0][1] = f[1][0] = {(int)-1e9, 0};
f[1][1] = {z, 1};
}
};
map<int, Edge> g[N];
Edge Par(Edge u, Edge v) {
Edge ans;
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2; ++j)
for (int k = 0; k < 2; ++k) if (i + k <= 1)
for (int l = 0; l < 2; ++l) if (j + l <= 1) {
ans.f[i + k][j + l] = Max(ans.f[i + k][j + l], Merge(u.f[i][j], v.f[k][l]));
}
return ans;
}
Edge Ser(Edge u, Edge v) {
Edge ans;
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2; ++j)
for (int k = 0; k < 2; ++k) if (j + k <= 1)
for (int l = 0; l < 2; ++l) {
ans.f[i][l] = Max(ans.f[i][l], Merge(u.f[i][j], v.f[k][l]));
}
return ans;
}
Edge Flip(Edge u) {
Edge ans;
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2; ++j)
ans.f[i][j] = u.f[j][i];
return ans;
}
inline void Adde(int x, int y, Edge z) {
auto it = g[x].lower_bound(y);
if (it == g[x].end() || it->first != y) g[x].insert(it, {y, z});
else it->second = Par(it->second, z);
}
signed main() {
int Case;
scanf("%lld", &Case);
while (Case--) {
scanf("%lld%lld", &n, &m);
for (int i = 1, x, y, z; i <= m; ++i) {
scanf("%lld%lld%lld", &x, &y, &z);
Adde(x, y, Edge(x, y, z));
Adde(y, x, Edge(y, x, z));
}
queue<int> q;
for (int i = 1; i <= n; ++i) if (g[i].size() == 2) q.push(i);
while (!q.empty()) {
int u = q.front(); q.pop();
if (g[u].size() != 2) continue;
auto [x, ex] = *g[u].begin();
auto [y, ey] = *--g[u].end();
g[x].erase(u);
g[y].erase(u);
g[u].clear();
Adde(x, y, Ser(Flip(ex), ey));
Adde(y, x, Ser(Flip(ey), ex));
if (g[x].size() == 2) q.push(x);
if (g[y].size() == 2) q.push(y);
}
for (int i = 1; i <= n; ++i) if (g[i].size()) {
auto [y, ey] = *g[i].begin();
Info ans({(int)-1e9, 0});
// printf("- %lld %lld\n", i, y);
for (int i = 0; i < 2; ++i)
for (int j = 0; j < 2; ++j)
ans = Max(ans, ey.f[i][j]);
printf("%lld %lld\n", ans.wei, ans.num);
break;
}
for (int i = 1; i <= n; ++i) g[i].clear();
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 553ms
memory: 31164kb
input:
6676 6 10 6 1 1 6 4 1 4 1 1 6 5 1 5 1 1 6 3 1 3 2 1 2 4 1 6 4 1 4 1 1 7 10 4 2 1 4 1 1 1 2 1 1 6 1 6 2 1 1 3 1 3 2 1 1 5 1 5 7 1 7 2 1 7 10 5 3 1 5 7 1 7 2 1 2 3 1 2 1 1 1 4 1 4 3 1 5 6 1 6 7 1 2 3 1 7 10 3 5 1 3 4 1 4 2 1 2 5 1 2 6 1 6 5 1 2 7 1 7 5 1 2 1 1 1 6 1 7 10 5 1 1 5 3 1 3 2 1 2 1 1 2 7 1 ...
output:
3 5 3 6 3 14 3 10 3 11 2 13 2 16 3 6 3 3 3 9 2 9 2 14 4 5 3 10 3 13 3 4 3 5 3 14 3 5 2 15 3 10 3 3 3 3 3 14 2 3 3 6 3 3 3 6 3 11 3 17 3 7 3 2 3 6 3 13 3 9 3 11 3 14 3 6 3 2 2 2 2 11 4 4 3 6 3 6 3 5 3 11 2 10 3 5 4 5 2 18 3 13 3 5 3 3 3 12 3 9 2 11 3 2 3 3 3 4 2 7 3 3 3 3 3 2 3 8 3 10 2 15 3 3 3 12 3...
result:
ok 6676 lines