#include <cstdio>
#include <algorithm>
#include <vector>
using namespace std;
typedef pair<int, int> pi;
typedef long long lint;
typedef long long int lli;
const int maxd = 22;
const int maxn = 50000 + 10;
const int INF = 0x3f3f3f3f;
struct Node {
int x, y, w, k, id;
void init(int tx, int ty, int tw, int i) {
id = i;
x = tx;
y = ty;
w = tw;
}
bool operator<(const Node& rhs) const { return w < rhs.w; }
} A[maxd][300001];
struct Modify {
int k, d;
void init(int tk, int td) {
k = tk;
d = td;
}
} B[1200001];
lint pr[1200005];
int cnt;
struct UnionFindSet {
int pa[maxn];
void init(int n) {
for (int i = 1; i <= n; i++) pa[i] = i;
}
int find(int x) { return x == pa[x] ? x : (pa[x] = find(pa[x])); }
} ufs;
struct CDQ {
int pa[maxn], dis[300005], pos[300005];
void init(int m) {
for (int i = 1; i <= m; i++) dis[A[0][i].id] = A[0][i].w;
}
// cur depth : d
// modify sequence : [L, R]
// points : n, edges : m
void solve(int d, int L, int R, int n, int m, lli ans = 0LL) {
for (int i = 1; i <= m; i++) {
Node &a = A[d][i], &a2 = A[d - 1][i];
a = (Node){a2.x, a2.y, dis[a2.id], 0, a2.id};
pos[a.id] = i;
}
if (L == R) {
Modify& b = B[L];
A[d][pos[b.k]].w = dis[b.k] = b.d;
ufs.init(n);
sort(A[d] + 1, A[d] + m + 1);
for (int i = 1; i <= m; i++) {
Node& a = A[d][i];
int x = ufs.find(a.x), y = ufs.find(a.y);
if (x != y) {
ufs.pa[y] = x;
ans = ans + a.w;
}
}
cnt++;
if(pr[cnt]) printf("%lld\n", ans + pr[cnt]);
return;
}
// reduction
for (int i = L; i <= R; i++) A[d][pos[B[i].k]].k = 1; // tag of in {S}
ufs.init(n);
sort(A[d] + 1, A[d] + m + 1);
for (int i = 1; i <= m; i++)
if (A[d][i].k == 0) {
Node& a = A[d][i];
int x = ufs.find(a.x), y = ufs.find(a.y);
if (x != y) {
ufs.pa[y] = x;
a.k = 2; // tag of in {T}
}
}
// contraction
for (int i = 1; i <= m; i++)
if (A[d][i].k == 1) A[d][i].w = -INF;
ufs.init(n);
sort(A[d] + 1, A[d] + m + 1);
for (int i = 1; i <= m; i++)
if (A[d][i].k != 0) {
Node& a = A[d][i];
int x = ufs.find(a.x), y = ufs.find(a.y);
if (x != y) {
ufs.pa[y] = x;
if (a.k != 1) a.k = 3; // tag of in {T'-S}
}
}
// rebuild
ufs.init(n);
for (int i = 1; i <= m; i++)
if (A[d][i].k == 3) {
Node& a = A[d][i];
int x = ufs.find(a.x), y = ufs.find(a.y);
ufs.pa[y] = x;
ans = ans + a.w;
}
int newn = 0, newm = 0;
for (int i = 1; i <= n; i++) pa[i] = 0;
for (int i = 1; i <= n; i++) {
int x = ufs.find(i);
if (!pa[x]) pa[x] = ++newn;
}
for (int i = 1; i <= m; i++)
if (A[d][i].k != 0) {
Node& a = A[d][i];
int x = ufs.find(a.x), y = ufs.find(a.y);
if (x != y) A[d][++newm] = (Node){pa[x], pa[y], a.w, a.k, a.id};
}
int M = (L + R) >> 1;
solve(d + 1, L, M, newn, newm, ans);
solve(d + 1, M + 1, R, newn, newm, ans);
}
} cdq;
vector<pi> gph[100005];
int main() {
int n, m, q;
scanf("%d %d", &n, &m);
for(int i=1; i<=m; i++){
int s, e, x;
scanf("%d %d %d",&s,&e,&x);
gph[s].push_back(pi(i, x));
gph[e].push_back(pi(i, x));
A[0][i].init(s, e, x, i);
}
q = 0;
for(int i=1; i<=n; i++){
lint s = 0;
for(auto &j : gph[i]){
B[++q].init(j.first, 0);
s += j.second;
}
pr[q] = s;
for(auto &j : gph[i]){
B[++q].init(j.first, j.second);
}
}
cdq.init(m);
cdq.solve(1, 1, q, n, m);
return 0;
}
Compilation message
LM.cpp: In function 'int main()':
LM.cpp:138:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d", &n, &m);
^
LM.cpp:141:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d %d",&s,&e,&x);
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
46 ms |
154048 KB |
Output is correct |
2 |
Correct |
46 ms |
154048 KB |
Output is correct |
3 |
Correct |
46 ms |
154048 KB |
Output is correct |
4 |
Correct |
43 ms |
154048 KB |
Output is correct |
5 |
Correct |
39 ms |
154048 KB |
Output is correct |
6 |
Correct |
46 ms |
154048 KB |
Output is correct |
7 |
Correct |
43 ms |
154048 KB |
Output is correct |
8 |
Correct |
43 ms |
154048 KB |
Output is correct |
9 |
Correct |
43 ms |
154048 KB |
Output is correct |
10 |
Correct |
43 ms |
154048 KB |
Output is correct |
11 |
Correct |
56 ms |
154048 KB |
Output is correct |
12 |
Correct |
39 ms |
154048 KB |
Output is correct |
13 |
Correct |
63 ms |
154048 KB |
Output is correct |
14 |
Correct |
43 ms |
154048 KB |
Output is correct |
15 |
Correct |
56 ms |
154048 KB |
Output is correct |
16 |
Correct |
46 ms |
154048 KB |
Output is correct |
17 |
Correct |
56 ms |
154048 KB |
Output is correct |
18 |
Correct |
39 ms |
154048 KB |
Output is correct |
19 |
Correct |
43 ms |
154048 KB |
Output is correct |
20 |
Correct |
46 ms |
154048 KB |
Output is correct |
21 |
Correct |
43 ms |
154048 KB |
Output is correct |
22 |
Correct |
43 ms |
154048 KB |
Output is correct |
23 |
Correct |
39 ms |
154048 KB |
Output is correct |
24 |
Correct |
39 ms |
154048 KB |
Output is correct |
25 |
Memory limit exceeded |
123 ms |
1048576 KB |
Memory limit exceeded |
26 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2000 ms |
162760 KB |
Execution timed out |
2 |
Halted |
0 ms |
0 KB |
- |