結果
問題 | No.3104 Simple Graph Problem |
ユーザー |
![]() |
提出日時 | 2025-04-11 22:03:16 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 165 ms / 2,000 ms |
コード長 | 16,397 bytes |
コンパイル時間 | 3,122 ms |
コンパイル使用メモリ | 232,248 KB |
実行使用メモリ | 41,312 KB |
最終ジャッジ日時 | 2025-04-11 22:03:28 |
合計ジャッジ時間 | 11,500 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 65 |
ソースコード
//#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(15) #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--) namespace template_tute{ using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 4.1e18; 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<ll>({a,b,c})-min<ll>({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;} 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;} std::ostream &operator<<(std::ostream &dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } 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[0].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; } } using namespace template_tute; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) += rhs; } friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) -= rhs; } friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) *= rhs; } friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) /= rhs; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } pair<int,int>frac(){ for(int j=1;j<=10000;j++){ auto v=*this*j; if(v.x<=10000)return make_pair(v.x,j); else if(v.x>=mod-10000)return make_pair(-(v.x-mod),j); } return make_pair(-1,-1); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static constexpr int get_mod() { return mod; } }; template< typename T > struct Combination { vector< T > _fact, _rfact, _inv; Combination(ll sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) { _fact[0] = _rfact[sz] = _inv[0] = 1; for(ll i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i; _rfact[sz] /= _fact[sz]; for(ll i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(ll i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline T fact(ll k) const { return _fact[k]; } inline T rfact(ll k) const { return _rfact[k]; } inline T inv(ll k) const { return _inv[k]; } T P(ll n, ll r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } T C(ll p, ll q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } T RC(ll p, ll q) const { if(q < 0 || p < q) return 0; return rfact(p) * fact(q) * fact(p - q); } T H(ll n, ll r) const { if(n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } //+1がm個、-1がn個で prefix sumが常にk以上 T catalan(ll m,ll n,ll k){ if(n>m-k)return 0; else return C(n+m,m)-C(n+m,n+k-1); } }; using modint = ModInt< MOD9 >;modint mpow(ll n, ll x){return modint(n).pow(x);}modint mpow(modint n, ll x){return n.pow(x);} //using modint=ld;modint mpow(ll n, ll x){return pow(n,x);}modint mpow(modint n, ll x){return pow(n,x);} using Comb=Combination<modint>; template<typename T> vector<int>cycle_detection(const Graph<T>&g, bool even){ int n=g.size(); vector<int>ret; vector<int>v; vector<bool>used(n),now(n); vector<int>bi(n,-1); auto dfs=[&](auto &&self,int pos,int par)->void { used[pos]=true; now[pos]=true; v.push_back(pos); for(auto to:g[pos]){ if(!ret.empty())return; if(now[to]&&to!=par&&(even||(bi[pos]==bi[to]))){ for(auto z:v){ if(!ret.empty()||z==to)ret.push_back(z); } } if(used[to])continue; bi[to]=bi[pos]^1; self(self,to, pos); } now[pos]=false; v.pop_back(); }; for(int i=0;i<n;i++)if(!used[i])dfs(dfs,i,-1); return ret; } //無向グラフの連結成分分解 template<typename T> struct Components{ const Graph<T>&g; vector<Graph<T>>gs; vector<vector<int>>id;//[連結成分番号][その成分での頂点番号]=元の頂点番号 vector<pair<int,int>>pos;//[頂点番号]=(連結成分番号,その成分での頂点番号) Components(const Graph<T>&g):g(g){ pos.assign(g.size(),make_pair(-1,-1)); for(int i=0;i<g.size();i++){ if(pos[i].fi == -1){ gs.emplace_back(); id.emplace_back(); dfs_build(i,gs.size()-1); } } } void dfs_build(int v,int comp_number){ pos[v]=make_pair(comp_number,id[comp_number].size()); id[comp_number].push_back(v); gs[comp_number].emplace_back(); for(auto e:g[v]){ if(pos[e.to].fi==-1){ dfs_build(e.to,comp_number); } e.to=pos[e.to].se; gs[comp_number][pos[v].se].push_back(e); } } }; void solve(){ ll res=0,buf=0; bool judge = true; int n,m;cin>>n>>m; vector<modint>b(n); rep(i,0,n)cin>>b[i]; auto g=readGraph<int>(n,m); map<pair<int,int>,int>mp; rep(i,0,n){ for(auto e:g[i]){ mp[MP(i,e.to)]=e.id; } } vector<modint>ret(m); vector<int>root; root.PB(0); { auto cy=cycle_detection(g,true); if(!cy.empty())root=cy; } { auto cy=cycle_detection(g,false); if(!cy.empty())root=cy; } OUT(root); vector<int>used(n); rep(i,0,root.size()){ used[root[i]]=true; } for(auto r:root){ auto dfs=[&](auto &&f,int pos,int par)->void { used[pos]=true; for(auto to:g[pos]){ if(used[to])continue; f(f,to,pos); } modint add=b[pos]; ret[mp[MP(pos,par)]]+=add; b[pos]-=add; b[par]-=add; }; for(auto to:g[r]){ if(used[to])continue; dfs(dfs,to,r); } } if(root.size()>1){ modint init=1,cf=0; for(auto r:root){ if(r==root[0])continue; init*=-1; cf=b[r]-cf; } modint x=0; OUT(b,x,cf,init); if(init==1){ x=(b[root[0]]-cf)/2; } rep(i,0,root.size()){ ll u=root[i],v=root[(i+1)%root.size()]; ret[mp[MP(u,v)]]+=x; b[u]-=x,b[v]-=x; x=b[v]; } } OUT(b); bool check=false; rep(i,0,n)if(b[i]!=0)check=true; if(check){ cout<<-1<<endl; return; } debug(ret); } int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); ll res=0,buf=0; bool judge = true; int T = 1; //cin>>T; while(T--){ solve(); } return 0; }