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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#371468 | #7991. 最小环 | 24bot# | TL | 614ms | 288152kb | C++14 | 5.0kb | 2024-03-30 12:53:17 | 2024-03-30 12:53:19 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
bool stmemory;
namespace Call_me_Eric{
inline int read(){
int x = 0, f = 1;char ch = getchar();
while(ch < '0' || ch > '9'){if(ch == '-') f = -1;ch = getchar();}
while(ch >= '0' && ch <= '9'){x = (x << 1) + (x << 3) + (ch ^ 48);ch = getchar();}
return x * f;
}
const int maxn = 4e5 + 10, INF = 0x3f3f3f3f3f3f3f, maxp = 5e3 + 10;
int n, m;
bool book2[maxn];
int head[maxn], tot;
struct edge{
int to, nexte, wei;
edge(int to = 0,int ne = 0,int we = 0):to(to),nexte(ne),wei(we){}
}e[maxn << 1];
void add(int u,int v,int w){e[++tot] = edge(v,head[u],w);head[u] = tot;}
typedef pair<int,pair<int,int> > pii;
priority_queue<pii,vector<pii>,greater<pii> > que;
int dis[maxn], pre[maxn];bool book[maxn];vector<int> st;
void dijsktra(int S){
que.push(make_pair(0,make_pair(S,0)));dis[S] = 0;
while(!que.empty()){
auto tmp = que.top();
int u = tmp.second.first;que.pop();
if(book[u])continue;book[u] = 1;pre[u] = tmp.second.second;
if(book2[u])continue;book2[u] = 1;st.push_back(u);
for(int i = head[u];i;i = e[i].nexte){
int v = e[i].to, w = e[i].wei;
if(dis[v] > dis[u] + w){
dis[v] = dis[u] + w;
que.push(make_pair(dis[v],make_pair(v,i)));
}
}
}
}
int dfn[maxn], low[maxn], idx;
vector<pii> ed;bool anc[maxn];
vector<pair<int,int> > tre[maxn];
int ans = INF;
int dep[maxn];
void dfs(int u,int f){
anc[u] = 1;dfn[u] = low[u] = ++idx;
for(int i = head[u];i;i = e[i].nexte){
int v = e[i].to, w = e[i].wei;
if(dis[v] == dis[u] + w && pre[v] == i && !dep[v] && book2[v]){
dep[v] = dep[u] + 1;
tre[u].push_back(make_pair(v, w));
dfs(v, u);
}
else{
if(anc[v]){ans = min(ans,w + dis[u] - dis[v]);}
else{ed.push_back(make_pair(w,make_pair(u, v)));}
}
}
anc[u] = 0;low[u] = idx;
}
int id[maxn];
int dist[maxp][maxp];
vector<pair<int,int> > edg2[maxn];
vector<int> vec;
void dfs2(int u,int f){
book[u] = 1;
if(id[u]){
for(int i : vec){dist[id[i]][id[u]] = dis[u] - dis[i];}
vec.push_back(u);
}
for(auto i : tre[u]){int v = i.first;dfs2(v, u);}
if(id[u])vec.pop_back();
}
int dis1[maxn];
void main(){
n = read(); m = read();int u, v, w;
for(int i = 1;i <= m;i++){
u = read(); v = read(); w = read();
add(u, v, w);
}
for(int i = 1;i <= n;i++)dis[i] = INF,book[i] = 0;
int cnt = 0;
int total = 0;
memset(dist,0x3f,sizeof(dist));
for(int t = 1;t <= n;t++)if(!book2[t]){
for(int i = 1;i <= cnt;i++){edg2[i].clear();for(int j = 1;j <= cnt;j++)dist[i][j] = INF;}
for(int i : st)id[i] = 0;
cnt = 0;st.clear();ed.clear();
dijsktra(t);dfs(t,0);
for(auto i : ed){
int u = i.second.first, v = i.second.second, w = i.first;
if((dfn[u] <= dfn[v] && dfn[v] <= low[u]))continue;
if(!id[u]){id[u] = ++cnt;}
if(!id[v]){id[v] = ++cnt;}
dist[id[u]][id[v]] = w;
}
// cerr << "cnt = " << cnt << " st = " << st.size() << " ed = " << ed.size() << endl;
for(int i : st)book[i] = 0;
for(int i : st){if(!book[i])dfs2(i,i);}
int totall = 0;
for(int i = 1;i <= cnt;i++)for(int j = 1;j <= cnt;j++)
if(dist[i][j] != INF){edg2[i].push_back(make_pair(j,dist[i][j]));totall++;}
// cerr << "totall = " << totall << endl;
// cerr << "111111111111111\n";
for(int S = 1;S <= cnt;S++){
for(int j = 1;j <= cnt;j++){book[j] = 0;dis1[j] = INF;}
while(!que.empty())que.pop();
que.push(make_pair(0,make_pair(S,0)));dis1[S] = 0;
while(!que.empty()){
auto tmp = que.top();
int u = tmp.second.first;que.pop();
if(book[u])continue;book[u] = 1;
for(auto i : edg2[u]){
total++;
int v = i.first, w = i.second;
// cerr << " v = " << v << endl;
if(dis1[v] > dis1[u] + w){
dis1[v] = dis1[u] + w;
que.push(make_pair(dis1[v],make_pair(v,0)));
}
}
}
for(int i = 1;i <= cnt;i++){dist[S][i] = dis1[i];}
}
for(auto i : ed){
int u = i.second.first, v = i.second.second, w = i.first;
ans = min(ans,w + dist[id[v]][id[u]]);
}
// if(ans < 0){ cerr << "S = " << t << " ans = " << ans;break;}
}
// cerr << "total = " << total << endl;
printf("%lld\n",ans == INF ? -1 : ans);
return;
}
};
bool edmemory;
signed main(){
// freopen("tmp.in","r",stdin);
auto stclock = clock();
Call_me_Eric::main();
auto edclock = clock();
cerr << (&stmemory - &edmemory) / 1024.0 / 1024.0 << " Mib cost.\n";
cerr << (edclock - stclock) * 1.0 / CLOCKS_PER_SEC << " Sec cost.\n";
return 0;
}
/*
5 6
1 2 1
1 4 1
2 3 1
4 5 1
3 4 5
5 2 5
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 8ms
memory: 237520kb
input:
4 6 1 2 1 4 3 3 4 1 9 2 4 1 3 1 2 3 2 6
output:
7
result:
ok single line: '7'
Test #2:
score: 0
Accepted
time: 16ms
memory: 237652kb
input:
1 0
output:
-1
result:
ok single line: '-1'
Test #3:
score: 0
Accepted
time: 23ms
memory: 237440kb
input:
1 1 1 1 1
output:
1
result:
ok single line: '1'
Test #4:
score: 0
Accepted
time: 63ms
memory: 288152kb
input:
258420 258419 33061 33062 767169384 212916 212917 1741339 229881 229882 896760805 173467 173468 273055172 233189 233190 800433307 10157 10158 126766550 174605 174606 552176083 224030 224031 886617880 229102 229103 783848581 67588 67589 510826095 233648 233649 879695751 214453 214454 867104578 153140...
output:
-1
result:
ok single line: '-1'
Test #5:
score: 0
Accepted
time: 614ms
memory: 272240kb
input:
248016 248896 82688 82755 592665252 202847 203260 294408121 26821 28237 269132335 150967 152178 3125829 246069 247390 29492546 7470 7673 55843492 33975 35414 442802995 28451 28948 193736988 34484 34637 84441058 60168 60309 501991354 79579 79844 26854803 239672 239706 111702667 73548 73658 149840530 ...
output:
98674714245
result:
ok single line: '98674714245'
Test #6:
score: 0
Accepted
time: 542ms
memory: 272680kb
input:
270530 271285 80489 81855 218173724 188930 190845 783975756 29830 30626 22189315 234320 234472 70840355 198096 198272 300313423 224194 226906 105128197 115010 115834 37228105 134788 135583 18647938 257292 257358 98569041 146988 147215 69398857 248752 250002 409565478 62128 63751 839744551 121918 122...
output:
133486910467
result:
ok single line: '133486910467'
Test #7:
score: -100
Time Limit Exceeded
input:
222087 223141 123107 123811 2984035 216346 217464 675263 139741 141286 892140 77973 78018 453931100 38603 39546 157182459 13105 14616 775862 97035 97704 379136464 86254 88311 84193802 83968 84398 246202498 152486 160164 65619516 73213 73517 1129576 15618 16541 498613468 192241 195576 889879 21363 21...