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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 |
---|---|---|---|---|---|---|---|---|---|
#76783 | #5506. Hyperloop | tute7627 | AC ✓ | 7378ms | 35852kb | C++17 | 11.2kb | 2023-02-12 10:29:57 | 2023-02-12 10:30:01 |
Judging History
answer
//#define _GLIBCXX_DEBUG
//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include <debug_print.hpp>
#define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define OUT(...) (static_cast<void>(0))
#endif
#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a) (a).begin(),(a).end()
#define ALLR(a) (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
auto tmp = v;
for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
rearrange(ord, head);
rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);});
return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);});
return ord;
}
template<typename T> vector<T> inv_perm(const vector<T>&ord){
vector<T>inv(ord.size());
for(int i=0;i<ord.size();i++)inv[ord[i]] = i;
return inv;
}
ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
ll modulo(ll n,ll d){return (n%d+d)%d;};
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
namespace converter{
int dict[500];
const string lower="abcdefghijklmnopqrstuvwxyz";
const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string digit="0123456789";
const string digit1="123456789";
void regi_str(const string &t){
for(int i=0;i<t.size();i++){
dict[t[i]]=i;
}
}
void regi_int(const string &t){
for(int i=0;i<t.size();i++){
dict[i]=t[i];
}
}
vector<int>to_int(const string &s,const string &t){
regi_str(t);
vector<int>ret(s.size());
for(int i=0;i<s.size();i++){
ret[i]=dict[s[i]];
}
return ret;
}
vector<int>to_int(const string &s){
auto t=s;
sort(t.begin(),t.end());
t.erase(unique(t.begin(),t.end()),t.end());
return to_int(s,t);
}
vector<vector<int>>to_int(const vector<string>&s,const string &t){
regi_str(t);
vector<vector<int>>ret(s.size(),vector<int>(s[0].size()));
for(int i=0;i<s.size();i++){
for(int j=0;j<s.size();j++){
ret[i][j]=dict[s[i][j]];
}
}
return ret;
}
vector<vector<int>>to_int(const vector<string>&s){
string t;
for(int i=0;i<s.size();i++){
t+=s[i];
}
sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());
return to_int(s,t);
}
string to_str(const vector<int>&s,const string &t){
regi_int(t);
string ret;
for(auto z:s)ret+=dict[z];
return ret;
}
vector<string> to_str(const vector<vector<int>>&s,const string &t){
regi_int(t);
vector<string>ret(s.size());
for(int i=0;i<s.size();i++){
for(auto z:s[i])ret[i]+=dict[z];
}
return ret;
}
}
template< typename T = int >
struct edge {
int to;
T cost;
int id;
edge():to(-1),id(-1){};
edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
operator int() const { return to; }
};
template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
Graph<T>ret(g.size());
for(int i=0;i<g.size();i++){
for(auto e:g[i]){
int to = e.to;
e.to = i;
ret[to].push_back(e);
}
}
return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
Graph<T> ret(n);
for(int es = 0; es < m; es++){
int u,v;
T w=1;
cin>>u>>v;u-=indexed,v-=indexed;
if(weighted)cin>>w;
ret[u].emplace_back(v,w,es);
if(!directed)ret[v].emplace_back(u,w,es);
}
return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
Graph<T>ret(n);
for(int i=1;i<n;i++){
int p;cin>>p;
p-=indexed;
ret[p].emplace_back(i);
if(!directed)ret[i].emplace_back(p);
}
return ret;
}
template<typename G>
vector<ll> dijkstra(G &g,const vector<int>&s) {
using PT=pair<ll,int>;
priority_queue<PT, vector<PT>, greater<PT> > que;
vector<ll>dist(g.size(),INF);
for(auto v:s){
dist[v] = 0;
que.emplace(0, v);
}
while (!que.empty()) {
PT p = que.top();
que.pop();
int v = p.second;
if (dist[v] < p.first) continue;
for(auto e:g[v]) {
if (dist[e.to] > dist[v] + e.cost) {
dist[e.to] = dist[v] + e.cost;
que.emplace(dist[e.to], e.to);
}
}
}
return dist;
}
template<typename G>
vector<ll>dijkstra(G &g,int s=0){
return dijkstra(g,vector<int>(1,s));
}
int main(){
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
ll res=0,buf=0;
bool judge = true;
ll T;cin>>T;
while(T--){
int n,m;cin>>n>>m;
auto g=readGraph<ll>(n,m,1,false,true);
Graph<int>dag(n);
vector<int>pre,suf;
{
auto all_pre=dijkstra(g,0);
auto all_suf=dijkstra(g,n-1);
pre=ascend(all_pre);
suf=reverse(pre);
ll mi=all_pre[n-1];
rep(i,0,n){
for(auto e:g[i]){
if(all_pre[i]+e.cost+all_suf[e.to]==mi){
dag[i].EB(e.to,e.cost);
}
}
}
}
//OUT(dag);
int lim=400;
vector<int>dpl(n),dpr(n);
auto maximize=[&](ll c){
fill(ALL(dpl),0);
fill(ALL(dpr),0);
for(auto i:pre){
for(auto e:dag[i])if(e.cost!=-1)chmax(dpl[e.to],dpl[i]+(e.cost==c));
}
for(auto i:suf){
for(auto e:dag[i])if(e.cost!=-1)chmax(dpr[i],dpr[e.to]+(e.cost==c));
}
int mx=dpl[n-1];
rep(i,0,n){
for(auto &e:dag[i]){
if(dpl[i]+(e.cost==c)+dpr[e.to]!=mx){
e.cost=-1;
}
}
}
};
//upper以下の最大値
auto check_mx=[&](ll upper){
fill(ALL(dpl),0);
//OUT(upper);
for(auto i:pre){
for(auto e:dag[i]){
//OUT(i,e.to,e.cost);
if(e.cost!=-1){
chmax(dpl[e.to],max(dpl[i],(e.cost<upper?e.cost:0)));
}
}
}
//OUT(dpl);
return dpl[n-1];
};
ll premx=INF;
while(1){
ll nxt=check_mx(premx);
//cout<<nxt<<endl;
if(nxt==0)break;
premx=nxt;
maximize(nxt);
}
vector<ll>ret(1,1);
ll now=0;
//OUT(dag);
while(now!=n-1){
for(auto e:dag[now]){
if(e.cost==-1)continue;
//cout<<now spa e.to spa e.cost<<endl;
//cout<<now<<endl;
now=e.to;
ret.PB(now+1);
break;
}
}
cout<<ret.size()<<endl;
debug(ret);
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 3376kb
input:
2 4 6 1 2 1 1 3 2 2 3 1 2 4 2 3 4 1 1 4 4 6 11 1 2 9 2 3 12 3 4 3 4 5 5 5 6 10 6 1 22 2 4 9 3 6 1 4 6 5 2 5 2 3 5 8
output:
3 1 2 4 5 1 2 5 3 6
result:
ok correct (2 test cases)
Test #2:
score: 0
Accepted
time: 496ms
memory: 3844kb
input:
600 320 1547 204 81 13768 232 97 9939 97 249 3719 201 109 14322 183 132 40881 142 143 1 275 186 24548 18 236 7907 30 317 11845 131 130 1 311 300 11704 141 92 41925 174 191 32128 119 120 1 184 183 1 310 309 1 283 270 25477 233 141 36076 212 92 13770 307 110 40656 218 137 14033 180 85 41892 200 199 44...
output:
184 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 10...
result:
ok correct (600 test cases)
Test #3:
score: 0
Accepted
time: 679ms
memory: 35852kb
input:
4 100000 220000 48940 43355 42347 77914 77913 1 45236 82683 42904 22563 16038 34866 81537 81538 43088 49803 51485 25497 63071 25523 14336 44102 39850 43782 13607 92386 16724 98711 73651 46840 17775 16801 28765 5757 98829 13508 85095 48444 1 9198 43003 32678 14461 14462 1 20245 48742 18138 89120 8911...
output:
35000 1 24721 24648 24647 24700 24305 24272 99392 25020 25051 25070 24443 24448 25109 25096 43056 43055 43054 43053 43052 43051 43050 43049 43048 43047 43046 43045 43044 43043 43042 43041 43040 43039 43038 43037 43036 43035 43034 43033 43032 43031 43030 43029 43028 43027 43026 43025 43024 43023 4302...
result:
ok correct (4 test cases)
Test #4:
score: 0
Accepted
time: 7378ms
memory: 32032kb
input:
4 100000 160000 5533 94547 28459 14992 20984 20548 70133 92512 27510 9013 9012 304 13621 40571 47787 305 306 262 6987 6988 135 16234 16992 40656 26246 49196 27701 19103 60272 44055 91532 91531 38290 70778 68341 35147 32524 32523 13 85786 50300 40970 49277 29735 13942 43446 34519 42455 77623 17031 34...
output:
316 1 2 3 4 5 6 97410 97409 26434 26435 26436 26437 98883 1370 1369 1368 92157 92158 4815 4816 4817 4818 50181 16985 89607 89608 24674 16979 16980 38428 13232 13233 13234 13664 13663 95009 7166 7165 7172 7163 24798 24799 11787 31031 53551 7309 7310 35482 7933 25067 32714 32715 44194 2068 72216 79593...
result:
ok correct (4 test cases)
Test #5:
score: 0
Accepted
time: 943ms
memory: 30788kb
input:
4 100000 160000 89517 25671 43802 21059 21058 1 35299 91834 43615 53383 53382 1 27213 39161 17202 10715 4050 30342 44100 44099 1 24162 28648 7378 19022 23084 37734 66056 97934 14651 31566 89391 23215 91038 91037 1 47695 47696 6099 99142 99143 1 83908 73654 15060 15551 22001 8896 55190 55189 1 26536 ...
output:
632 1 94652 94653 31254 31269 31264 31173 31238 31281 31164 31289 31200 31205 91851 99690 91847 2469 99496 2507 2566 2537 2514 2547 2552 71980 74130 74129 99693 84670 84671 84672 84673 84674 84675 84676 84677 84678 84679 84680 84681 84682 84683 84684 84685 84686 84687 84688 84689 84690 84691 84692 8...
result:
ok correct (4 test cases)