#include <bits/stdc++.h>
#define rf(x) (x)=0;while(*p<48)p++;while(47<*p)(x)=((x)<<3)+((x)<<1)+(*p++&15);
#define eb emplace_back
#define sz(V) ((int)(V).size())
#define allv(V) ((V).begin()),((V).end())
#define sorv(V) sort(allv(V))
#define revv(V) reverse(allv(V))
#define univ(V) (V).erase(unique(allv(V)),(V).end())
#define befv(V) ((V)[sz(V)-2])
#define upmax(a,b) (a)=max((a),(b))
#define upmin(a,b) (a)=min((a),(b))
#define INF (0x3f3f3f3f)
#define INFLL (0x3f3f3f3f3f3f3f3fll)
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
static unsigned char str[22000022], *p=str;
const bool debug = 0;
const int MAXN = 100005;
const int MAXM = 300005;
struct EDG {
int v, c, nxt;
} edg[MAXM*3];
int Bumsoo[MAXN], BumsooE[MAXN], edgn;
void addEdge(int a, int b, int c) {
int idx = ++edgn;
if(!Bumsoo[a]) {
Bumsoo[a] = BumsooE[a] = idx;
edg[idx].v = b;
edg[idx].c = c;
edg[idx].nxt = 0;
return;
}
edg[BumsooE[a]].nxt = idx;
edg[idx].v = b;
edg[idx].c = c;
edg[idx].nxt = 0;
BumsooE[a] = idx;
}
vector<int> G[MAXN], T[MAXN];
int prt[17][MAXN], prtmxe[17][MAXN];
int dep[MAXN], cnt[MAXN], dfo[MAXN];
int A[MAXM], B[MAXM], C[MAXM], O[MAXM];
int ud[MAXN], isD[MAXN], isDn;
bitset<MAXM> isE;
ll MSTC;
int N, M;
int uf(int i) { return i == ud[i] ? i : (ud[i] = uf(ud[i])); }
void uf(int a, int b) { ud[uf(b)] = uf(a); }
int lca(int a, int b) {
if(dep[a] > dep[b]) swap(a, b);
const int dt = dep[b] - dep[a];
for(int i = 0; i < 17; i++) if(dt & (1<<i)) b = prt[i][b];
if(a == b) return a;
for(int i = 17; i--;) if(prt[i][a] != prt[i][b]) {
a = prt[i][a]; b = prt[i][b];
}
return prt[0][a];
}
int upmxe(int i, int l) {
int ret = 0;
for(int j = 0; j < 17; j++) if(l & (1<<j)) {
upmax(ret, prtmxe[j][i]);
i = prt[j][i];
}
return ret;
}
void f(int i, int &c) {
cnt[i] = 1; dfo[i] = ++c;
for(int e : T[i]) {
int v = A[e] + B[e] - i;
if(dep[v]) continue;
prt[0][v] = i;
prtmxe[0][v] = C[e];
dep[v] = dep[i] + 1;
f(v, c);
cnt[i] += cnt[v];
}
}
pll dfs(int idx) {
if(!Bumsoo[idx]) return (isD[idx] == isDn) ? pll(-INFLL, 0) : pll(0, -INFLL);
pll ret(0, 0); ll mx = -INFLL;
if(isD[idx] == isDn) ret.first = -INFLL;
for(int ei = Bumsoo[idx], v, c; ei; ei = edg[ei].nxt) {
v = edg[ei].v; c = edg[ei].c;
pll t = dfs(v);
if(isD[idx] != isDn) {
ll q = max(t.first, t.second + c);
ret.first += q;
ret.second += q;
upmax(mx, -q + t.second);
} else {
ret.second += max(t.first, t.second + c);
}
if(ret.first < -INFLL) ret.first = -INFLL;
if(ret.second < -INFLL) ret.second = -INFLL;
if(INFLL < ret.first) ret.first = INFLL;
if(INFLL < ret.second) ret.second = INFLL;
}
if(isD[idx] != isDn) ret.second += mx;
upmax(ret.first, -INFLL);
upmax(ret.second, -INFLL);
upmin(ret.first, INFLL);
upmin(ret.second, INFLL);
return ret;
}
int main() {
fread(str, 1, 22000022, stdin);
rf(N) rf(M)
for(int i = 1; i <= M; i++) {
rf(A[i]) rf(B[i]) rf(C[i])
G[A[i]].eb(i);
G[B[i]].eb(i);
}
iota(O, O+M+1, 0); sort(O+1, O+M+1, [&](int a, int b) { return C[a] < C[b]; });
iota(ud, ud+N+1, 0);
for(int oi = 1, i; oi <= M; oi++) {
i = O[oi];
if(uf(A[i]) == uf(B[i])) continue;
uf(A[i], B[i]);
isE[i] = true;
MSTC += C[i];
}
for(int i = 1; i <= M; i++) if(isE[i]) {
T[A[i]].eb(i);
T[B[i]].eb(i);
}
dep[1] = 1; { int c = 0; f(1, c); }
for(int j = 1; j < 17; j++) for(int i = 1; i <= N; i++) {
prt[j][i] = prt[j-1][prt[j-1][i]];
prtmxe[j][i] = max(prtmxe[j-1][i], prtmxe[j-1][prt[j-1][i]]);
}
iota(ud, ud+N+1, 0);
for(int i = 1; i <= N; i++) {
vector<int> V;
ll ret = MSTC; isDn++;
isD[i] = isDn; V.eb(i);
for(int e : G[i]) {
int v = A[e] + B[e] - i;
ret += C[e];
isD[v] = isDn;
V.eb(v);
}
sort(allv(V), [&](int a, int b) { return dfo[a] < dfo[b]; });
vector<pii> PV;
for(int i = 1, n = sz(V); i < n; i++) PV.eb(lca(V[i-1], V[i]), i);
sort(allv(PV), [&](pii a, pii b) { return dfo[a.first] > dfo[b.first]; });
for(auto &e : PV) {
int p, a, b;
tie(p, a) = e;
b = V[a]; a = V[a-1];
a = uf(a); b = uf(b);
if(a != p) {
addEdge(p, a, upmxe(a, dep[a]-dep[p]));
uf(p, a);
}
if(b != p) {
addEdge(p, b, upmxe(b, dep[b]-dep[p]));
uf(p, b);
}
}
if(!PV.empty()) ret -= dfs(PV.back().first).second;
printf("%lld\n", ret);
for(int v : V) {
ud[v] = v;
Bumsoo[v] = BumsooE[v] = 0;
}
for(auto &e : PV) {
int v = e.first;
ud[v] = v;
Bumsoo[v] = BumsooE[v] = 0;
}
edgn = 0;
}
return 0;
}
Compilation message
LM.cpp: In function 'int main()':
LM.cpp:123:7: warning: ignoring return value of 'size_t fread(void*, size_t, size_t, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
fread(str, 1, 22000022, stdin);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
13 ms |
5624 KB |
Output is correct |
2 |
Correct |
16 ms |
5716 KB |
Output is correct |
3 |
Correct |
16 ms |
5812 KB |
Output is correct |
4 |
Correct |
10 ms |
5812 KB |
Output is correct |
5 |
Correct |
10 ms |
5812 KB |
Output is correct |
6 |
Correct |
13 ms |
5840 KB |
Output is correct |
7 |
Correct |
13 ms |
5840 KB |
Output is correct |
8 |
Correct |
9 ms |
5848 KB |
Output is correct |
9 |
Correct |
10 ms |
5924 KB |
Output is correct |
10 |
Correct |
11 ms |
5924 KB |
Output is correct |
11 |
Correct |
12 ms |
5924 KB |
Output is correct |
12 |
Correct |
11 ms |
5936 KB |
Output is correct |
13 |
Correct |
13 ms |
5936 KB |
Output is correct |
14 |
Correct |
10 ms |
5936 KB |
Output is correct |
15 |
Correct |
10 ms |
6056 KB |
Output is correct |
16 |
Correct |
9 ms |
6056 KB |
Output is correct |
17 |
Correct |
11 ms |
6056 KB |
Output is correct |
18 |
Correct |
10 ms |
6056 KB |
Output is correct |
19 |
Correct |
11 ms |
6056 KB |
Output is correct |
20 |
Correct |
12 ms |
6056 KB |
Output is correct |
21 |
Correct |
11 ms |
6056 KB |
Output is correct |
22 |
Correct |
11 ms |
6056 KB |
Output is correct |
23 |
Correct |
11 ms |
6056 KB |
Output is correct |
24 |
Correct |
10 ms |
6056 KB |
Output is correct |
25 |
Correct |
8 ms |
6056 KB |
Output is correct |
26 |
Correct |
7 ms |
6056 KB |
Output is correct |
27 |
Correct |
7 ms |
6056 KB |
Output is correct |
28 |
Correct |
11 ms |
6056 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1453 ms |
42576 KB |
Output is correct |
2 |
Correct |
1640 ms |
42576 KB |
Output is correct |
3 |
Correct |
1678 ms |
42664 KB |
Output is correct |
4 |
Correct |
1464 ms |
42664 KB |
Output is correct |
5 |
Correct |
1362 ms |
42764 KB |
Output is correct |
6 |
Correct |
1232 ms |
43032 KB |
Output is correct |
7 |
Correct |
1254 ms |
43032 KB |
Output is correct |
8 |
Correct |
1195 ms |
43032 KB |
Output is correct |
9 |
Correct |
1054 ms |
44060 KB |
Output is correct |
10 |
Correct |
1079 ms |
44060 KB |
Output is correct |
11 |
Correct |
829 ms |
44060 KB |
Output is correct |
12 |
Correct |
982 ms |
44060 KB |
Output is correct |
13 |
Correct |
1242 ms |
44060 KB |
Output is correct |
14 |
Correct |
1128 ms |
44060 KB |
Output is correct |
15 |
Correct |
900 ms |
44060 KB |
Output is correct |
16 |
Correct |
1283 ms |
44060 KB |
Output is correct |
17 |
Correct |
1349 ms |
44060 KB |
Output is correct |
18 |
Correct |
1201 ms |
44060 KB |
Output is correct |
19 |
Correct |
1198 ms |
44060 KB |
Output is correct |
20 |
Correct |
1238 ms |
44060 KB |
Output is correct |
21 |
Correct |
1282 ms |
44060 KB |
Output is correct |
22 |
Correct |
1333 ms |
44060 KB |
Output is correct |
23 |
Correct |
1593 ms |
44060 KB |
Output is correct |
24 |
Correct |
1398 ms |
44060 KB |
Output is correct |
25 |
Correct |
13 ms |
5624 KB |
Output is correct |
26 |
Correct |
16 ms |
5716 KB |
Output is correct |
27 |
Correct |
16 ms |
5812 KB |
Output is correct |
28 |
Correct |
10 ms |
5812 KB |
Output is correct |
29 |
Correct |
10 ms |
5812 KB |
Output is correct |
30 |
Correct |
13 ms |
5840 KB |
Output is correct |
31 |
Correct |
13 ms |
5840 KB |
Output is correct |
32 |
Correct |
9 ms |
5848 KB |
Output is correct |
33 |
Correct |
10 ms |
5924 KB |
Output is correct |
34 |
Correct |
11 ms |
5924 KB |
Output is correct |
35 |
Correct |
12 ms |
5924 KB |
Output is correct |
36 |
Correct |
11 ms |
5936 KB |
Output is correct |
37 |
Correct |
13 ms |
5936 KB |
Output is correct |
38 |
Correct |
10 ms |
5936 KB |
Output is correct |
39 |
Correct |
10 ms |
6056 KB |
Output is correct |
40 |
Correct |
9 ms |
6056 KB |
Output is correct |
41 |
Correct |
11 ms |
6056 KB |
Output is correct |
42 |
Correct |
10 ms |
6056 KB |
Output is correct |
43 |
Correct |
11 ms |
6056 KB |
Output is correct |
44 |
Correct |
12 ms |
6056 KB |
Output is correct |
45 |
Correct |
11 ms |
6056 KB |
Output is correct |
46 |
Correct |
11 ms |
6056 KB |
Output is correct |
47 |
Correct |
11 ms |
6056 KB |
Output is correct |
48 |
Correct |
10 ms |
6056 KB |
Output is correct |
49 |
Correct |
8 ms |
6056 KB |
Output is correct |
50 |
Correct |
7 ms |
6056 KB |
Output is correct |
51 |
Correct |
7 ms |
6056 KB |
Output is correct |
52 |
Correct |
11 ms |
6056 KB |
Output is correct |