結果
| 問題 | No.3508 OR Mapping |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2026-03-15 17:59:42 |
| 言語 | C++23 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
WA
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 6,367 bytes |
| 記録 | |
| コンパイル時間 | 3,812 ms |
| コンパイル使用メモリ | 293,988 KB |
| 実行使用メモリ | 144,060 KB |
| 最終ジャッジ日時 | 2026-04-17 19:37:29 |
| 合計ジャッジ時間 | 19,284 ms |
|
ジャッジサーバーID (参考情報) |
judge1_0 / judge2_1 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 63 WA * 2 |
ソースコード
#include <iostream>
#include <vector>
#include <string>
#include <cmath>
#include <set>
#include <unordered_map>
#include <map>
#include <unordered_set>
#include <queue>
#include <algorithm>
#include <iomanip>
#include <functional>
#include <cassert>
#include <bit>
#include <array>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define ll long long
#define LL __int128
#define MOD 998244353
#define ld long double
#define INF 2251799813685248
#define rep(i, n) for (ll i = 0; i < (n); ++i)
#define reps(i, l, r) for(ll i = (l); i < (r); ++i)
#define foreach(c, A) for(auto c:(A))
#define vall(A) (A).begin(),(A).end()
#define vrall(A) (A).rbegin(),(A).rend()
#define slice(A, l, r) next((A).begin(), (l)), next((A).begin(), (r))
#define vin(A) for (ll iiii = 0, szszszsz = (A).size(); iiii < szszszsz; iiii++){cin >> (A)[iiii];}
#define vout(A) for (ll iiii = 0, szszszsz = (A).size(); iiii < szszszsz; iiii++){cout << (A)[iiii] << " \n"[iiii == szszszsz-1];}
#define vin2d(A) for (ll iiii = 0; iiii < (A).size(); iiii++){for (ll jjjj = 0; jjjj < (A)[iiii].size(); jjjj++){cin >> (A)[iiii][jjjj];}}
#define vout2d(A) for (ll iiii = 0; iiii < (A).size(); iiii++){for (ll jjjj = 0; jjjj < (A)[iiii].size(); jjjj++){cout << (A)[iiii][jjjj] << " \n"[jjjj==(A)[iiii].size()-1];}}
#define encode(i,j) (((i))<<32)+(j)
#define decode(v,w) ((w) ? (v)%4294967296 : (v)>>32)
#define vinc(A) for (auto &vvvv : (A)){vvvv++;}
#define vdec(A) for (auto &vvvv : (A)){vvvv--;}
#define graphin0(C, M) int aaaa,bbbb;for (int iiii = 0; iiii < (M); iiii++){cin >> aaaa >> bbbb; (C)[aaaa].push_back(bbbb); (C)[bbbb].push_back(aaaa);}
#define graphin1(C, M) int aaaa,bbbb;for (int iiii = 0; iiii < (M); iiii++){cin >> aaaa >> bbbb; (C)[aaaa-1].push_back(bbbb-1); (C)[bbbb-1].push_back(aaaa-1);}
#define lsegtype(name) name::S, name::F
#define lsegarg(name) name::op, name::e,name::comp, name::mapping, name::id
vector<ll> pow2ll{1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,262144,524288,1048576,2097152,4194304,8388608,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,2147483648,4294967296,8589934592,17179869184,34359738368,68719476736,137438953472,274877906944,549755813888,1099511627776,2199023255552,4398046511104,8796093022208,17592186044416,35184372088832,70368744177664,140737488355328,281474976710656,562949953421312,1125899906842624,2251799813685248,4503599627370496,9007199254740992,18014398509481984,36028797018963968,72057594037927936,144115188075855872,288230376151711744,576460752303423488,1152921504606846976,2305843009213693952,4611686018427387904};
vector<ll> pow10ll{1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,10000000000,100000000000,1000000000000,10000000000000,100000000000000,1000000000000000,10000000000000000,100000000000000000,1000000000000000000};
vector<ll> di{0,1,0,-1};
vector<ll> dj{1,0,-1,0};
istream &operator>>(istream &is, mint &i){long long t; is >> t; i = t; return is; }
ostream &operator<<(ostream &os, const mint &i){ os << i.val(); return os;}
template <typename T>
bool chmax(T &a, const T& b) { return a < b ? a = b, true : false; }
template <typename T>
bool chmin(T &a, const T& b) { return a > b ? a = b, true : false; }
unsigned int bit_length(ll n){ return n > 0 ? 64 - __builtin_clzll(n) : 0;}
template <typename T>
T sum(vector<T> A){
T res = 0;
for (size_t i=0;i<A.size();i++){
res += A[i];
}
return res;
}
ll powll(ll a, ll n, ll m){
if (n == 0){return 1;}
if (n == 1){return a % m;}
LL ans = 1;
LL p = a;
while(n > 0){
if ((n & 1) == 1){
ans *= p;
ans %= m;
}
n >>= 1;
p *= p;
p %= m;
}
return (ll)ans;
}
// ===============================================================================
int main(){
ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int N, M, K;
cin >> N >> M >> K;
int u, v;
vector<vector<int>> connected(N);
scc_graph g(N);
rep(i,M){
cin >> u >> v;
u--; v--;
g.add_edge(u, v);
connected[u].push_back(v);
}
vector<vector<int>> scc = g.scc();
vector<int> scc_id(N);
rep(i, scc.size()){
for (int v : scc[i]){
scc_id[v] = i;
}
}
// 条件1 頂点1が最上流の強連結成分に属すること
if (scc_id[0] != 0){
cout << "No" << endl;
return 0;
}
// 条件2 頂点1の連結成分の個数が1でないこと
if (scc[0].size() == 1){
cout << "No" << endl;
return 0;
}
// 条件3 トポソの隣接する成分間に辺が存在すること iff ハミルトンパスが存在すること
for (size_t i=0;i<scc.size()-1;i++){
for (int u : scc[i]){
bool res = false;
for (int v : connected[u]){
if (scc_id[v] == i+1){
res = true;
break;
}
}
if (!res){
cout << "No" << endl;
return 0;
}
}
}
// 条件4 大きさ1の強連結成分がトポソ上で隣接しないこと
for (size_t i=0;i<scc.size()-1;i++){
if (scc[i].size() == 1 && scc[i+1].size() == 1){
cout << "No" << endl;
return 0;
}
}
// 条件5 各強連結成分が2部グラフでないこと
vector<int> color(N, -1);
rep(i, N){
if (color[i] != -1){continue;}
vector<int> stack;
stack.push_back(i);
color[i] = 0;
int id = scc_id[i];
bool res = true; // 二部グラフであるならば true
while(!stack.empty()){
int u = stack.back();
stack.pop_back();
for (int v : connected[u]){
if (scc_id[v] == id ){
if (color[v] == -1){
color[v] = 1 - color[u];
stack.push_back(v);
} else if (color[v] == color[u]){
res = false;
}
}
}
}
if (res){
cout << "No" << endl;
return 0;
}
}
// 以上全ての条件を満たすなら Yes
cout << "Yes" << endl;
}