QOJ.ac
QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#883121 | #8232. Yet Another Shortest Path Query | hotdogseller | TL | 8968ms | 221020kb | C++14 | 3.5kb | 2025-02-05 14:47:18 | 2025-02-05 14:47:26 |
Judging History
answer
#include<bits/stdc++.h>
#include <utility>
#define maxn 1000005
#define INF 1e9
#define pii pair<int,int>
using namespace std;
inline long long read(){
long long lre=0,f=1;
char c=getchar();
while(c<'0'||c>'9'){
if(c=='-'){
f=-1;
}
c=getchar();
}
while(c>='0'&&c<='9'){
lre=(lre<<3)+(lre<<1)+(c-'0');
c=getchar();
}
return lre*f;
}
struct edge{
int head[maxn];
int to[2*maxn],next[2*maxn],val[2*maxn];
int e_cnt=1;
void add(int u,int v,int w){
to[e_cnt]=v;
val[e_cnt]=w;
next[e_cnt]=head[u];
head[u]=e_cnt++;
}
}E;
int n,m,clo=0;
int deg[maxn],tim[maxn];
//存在点度数不超过5
vector<pii> In[maxn];//tim从小到大
vector<pii> Out[maxn];//tim从大到小
queue<int> que;
int q;
pii qry[maxn];
set<pii> st,st2;//k=2任意子问题,长短八
map<pii,int> mp,mp2;
inline void add(int &x,int y){
x=min(x,y);
}
signed main(){
// freopen("1.in","r",stdin);
n=read();m=read();
for(int i=1;i<=m;i++){
int u=read(),v=read(),w=read();
E.add(u,v,w);E.add(v,u,w);
deg[u]++;deg[v]++;
}
for(int i=1;i<=n;i++){
if(deg[i]<=5){
que.push(i);
tim[i]=++clo;
}
}
while(!que.empty()){
int x=que.front();que.pop();
for(int i=E.head[x];i;i=E.next[i]){
int v=E.to[i];
deg[v]--;
if(tim[v]==0&°[v]<=5){
tim[v]=++clo;
que.push(v);
}
}
}//删点,每一个点被删前邻域内不超过5个点
//等价于给无向图定向,使每一个点的后继结点不超过5个
for(int u=1;u<=n;u++){
for(int i=E.head[u];i;i=E.next[i]){
int v=E.to[i],w=E.val[i];
if(tim[u]<tim[v]){
//出边(不超过5条)
Out[u].push_back({v,w});
// printf(" %d %d %d\n",u,v,w);
}else{
//入边(好像没什么卯用)
In[u].push_back({v,w});
}
}
}
// putchar('\n');
q=read();
for(int i=1;i<=q;i++){
int& s=qry[i].first=read();int& t=qry[i].second=read();
if(tim[s]>tim[t])swap(s,t);
for(pii p:Out[s]){
st.insert({p.first,t});
}
for(pii p:Out[t]){
st.insert({s,p.first});
}
st.insert({s,t});//直接自由两点
st2.insert({s,t});st2.insert({t,s});//长短八
}
for(pii p:st)mp[p]=INF;
for(pii p:st2)mp2[p]=INF;
for(pii p:st){
//内八问题
int s=p.first,t=p.second;
for(pii p1:Out[s]){
for(pii p2:Out[t]){
if(p1.first==p2.first){
add(mp[p],p1.second+p2.second);
}
}
}
}
for(int x=1;x<=n;x++){
//链上问题
for(pii p1:Out[x]){
int y=p1.first,w1=p1.second;
for(pii p2:Out[y]){
int z=p2.first,w2=p2.second;
if(st.count({x,z})){
add(mp[{x,z}],w1+w2);
}
if(st.count({z,x})){
add(mp[{z,x}],w1+w2);
}
}
}
}
for(int a=1;a<=n;a++){
//外八
for(pii p1:In[a]){
int b=p1.first,w1=p1.second;
for(pii p2:Out[b]){
int c=p2.first,w2=p2.second;
if(b==c)continue;
if(st.count({a,c}))add(mp[{a,c}],w1+w2);
if(st.count({c,a}))add(mp[{c,a}],w1+w2);
for(pii p3:Out[c]){
int d=p3.first,w3=p3.second;
if(st2.count({a,d}))add(mp2[{a,d}],w1+w2+w3);
}
}
}
}
int s,t,ans;
for(register int i=1;i<=q;++i){
s=qry[i].first,t=qry[i].second;
ans=INF;
for(pii p:Out[s]){
add(ans,p.second+mp[{p.first,t}]);
if(p.first==t)add(ans,p.second);
}
for(pii p:Out[t]){
add(ans,p.second+mp[{s,p.first}]);
}
add(ans,mp[{s,t}]);add(ans,mp2[{s,t}]);add(ans,mp2[{t,s}]);
if(ans==INF)ans=-1;
printf("%d\n",ans);
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 4ms
memory: 63308kb
input:
6 9 1 2 4 2 3 6 3 6 5 6 5 3 5 4 2 4 1 3 3 4 9 1 3 100 5 3 1 5 1 3 1 6 3 4 3 5 2 5
output:
6 8 3 1 7
result:
ok 5 number(s): "6 8 3 1 7"
Test #2:
score: 0
Accepted
time: 7ms
memory: 63180kb
input:
6 4 1 2 1 2 3 1 3 4 1 4 5 1 3 1 4 1 5 1 6
output:
3 -1 -1
result:
ok 3 number(s): "3 -1 -1"
Test #3:
score: 0
Accepted
time: 7710ms
memory: 195708kb
input:
40005 79608 1 2 70031203 1 3 99924845 1 4 61645659 1 5 9324967 2 3 15761918 3 4 62534796 4 5 35260314 5 2 35948540 6 2 23727405 6 7 83302920 7 3 31010426 7 8 75060393 8 4 94275932 8 9 99663793 9 5 81701979 9 6 439297 10 6 46955645 10 11 89514237 11 7 21257310 11 12 53896253 12 8 67933315 12 13 26161...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 1000000 numbers
Test #4:
score: 0
Accepted
time: 8900ms
memory: 217056kb
input:
35479 70156 1 2 53094201 1 3 95796673 1 4 35585979 1 5 55612594 2 3 60766083 3 4 64392832 4 5 32896460 5 2 91649893 6 2 6196154 6 7 4986564 7 3 91799790 7 8 10909791 8 4 30034265 8 9 95672010 9 4 67004237 9 10 77872672 10 5 68900058 10 6 42927604 11 6 71288663 11 12 51597962 12 7 79690815 12 13 9742...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 1000000 numbers
Test #5:
score: 0
Accepted
time: 8968ms
memory: 221020kb
input:
35811 70820 1 2 40434193 1 3 13483892 1 4 32864259 1 5 47591755 1 6 65123023 1 7 81695948 1 8 1102880 1 9 47223939 1 10 52947058 1 11 31439481 2 3 94162364 3 4 20590842 4 5 24137043 5 6 74926235 6 7 9376267 7 8 97130364 8 9 75568799 9 10 5022411 10 11 59066963 11 2 96177033 12 2 17823959 12 13 83906...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
result:
ok 1000000 numbers
Test #6:
score: -100
Time Limit Exceeded
input:
200000 599952 127401 69434 88680591 127401 39916 10673559 127401 52475 59546013 127401 77787 74018113 127401 11462 7023970 60723 37187 65141305 60723 115008 72307785 60723 71812 47362248 60723 143858 20042617 60723 153890 48502784 60723 172009 21754689 60723 23327 97998405 63817 58332 30056889 63817...
output:
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...