#include <bits/stdc++.h> #define MP make_pair #define PB push_back #define int long long #define st first #define nd second #define rd third #define FOR(i, a, b) for(int i =(a); i <=(b); ++i) #define RE(i, n) FOR(i, 1, n) #define FORD(i, a, b) for(int i = (a); i >= (b); --i) #define REP(i, n) for(int i = 0;i <(n); ++i) #define VAR(v, i) __typeof(i) v=(i) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)(x).size()) #define __builtin_ctz __builtin_ctzll #define __builtin_clz __builtin_clzll #define __builtin_popcount __builtin_popcountll using namespace std; template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; } template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) { while(*sdbg != ',') { cerr<<*sdbg++; } cerr<<"="<<h<<","; _dbg(sdbg+1, t...); } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<"\n"; }} #else #define debug(...) (__VA_ARGS__) #define debugv(x) #define cerr if(0)cout #endif #define next ____next #define prev ____prev #define left ____left #define hash ____hash typedef long long ll; typedef long double LD; typedef pair<int, int> PII; typedef pair<ll, ll> PLL; typedef vector<int> VI; typedef vector<VI> VVI; typedef vector<ll> VLL; typedef vector<pair<int, int> > VPII; typedef vector<pair<ll, ll> > VPLL; template<class C> void mini(C&a4, C b4){a4=min(a4, b4); } template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); } template<class T1, class T2> ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";} template<class A, class B, class C> struct Triple { A first; B second; C third; bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } }; template<class T> void ResizeVec(T&, vector<int>) {} template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) { vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; } for (T& v : vec) { ResizeVec(v, sz); } } typedef Triple<int, int, int> TIII; template<class A, class B, class C> ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; } template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } template<class T> ostream& operator<<(ostream& out, set<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } template<class L, class R> ostream& operator<<(ostream& out, map<L, R> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } VVI forw, backw; const int N = 1e3 +5; int is_forb[N]; int n, m; VI GetLongest() { VI dp(n + 1); int ans = 0; RE (i, n) { if (is_forb[i]) { dp[i] = -10000; continue; } dp[i] = 1; for (auto prv : backw[i]) { maxi(dp[i], dp[prv] + 1); } maxi(ans, dp[i]); } int guy = 0; RE (i, n) { if (is_forb[i]) { continue; } if (dp[guy] < dp[i]) { guy = i; } } VI zioms{guy}; while (1) { int found = 0; for (auto x : backw[guy]) { if (dp[x] == dp[guy] - 1) { zioms.PB(x); found = 1; guy = x; break; } } if (!found) { return zioms; } } // int cnt_on_best = 0; // FORD (i, n, 1) { // maxi(dp_forw[i], 1ll); // for (auto nxt : forw[i]) { // maxi(dp_forw[i], dp_forw[nxt] + 1); // } // if (dp_forw[i] + dp_backw[i] == ans + 1) { // cnt_on_best++; // } // } // debug(cnt_on_best, ans); } int Solve(int rem) { VI longest = GetLongest(); debug(longest); if (rem == 0) { return SZ(longest); } int ans = n; for (auto x : longest) { is_forb[x] = 1; mini(ans, Solve(rem - 1)); is_forb[x] = 0; } return ans; } int32_t main() { ios_base::sync_with_stdio(0); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); cin.tie(0); //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC; int k; //srand(clock()); cin>>n>>m>>k; //forw.resize(n + 2); backw.resize(n + 2); if (n == k) { cout<<"0\n"; return 0; } RE (i, m) { int x, y; cin>>x>>y; //forw[x].PB(y); backw[y].PB(x); } cout<<Solve(k)<<endl; return 0; }
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 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 | #include <bits/stdc++.h> #define MP make_pair #define PB push_back #define int long long #define st first #define nd second #define rd third #define FOR(i, a, b) for(int i =(a); i <=(b); ++i) #define RE(i, n) FOR(i, 1, n) #define FORD(i, a, b) for(int i = (a); i >= (b); --i) #define REP(i, n) for(int i = 0;i <(n); ++i) #define VAR(v, i) __typeof(i) v=(i) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)(x).size()) #define __builtin_ctz __builtin_ctzll #define __builtin_clz __builtin_clzll #define __builtin_popcount __builtin_popcountll using namespace std; template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; } template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) { while(*sdbg != ',') { cerr<<*sdbg++; } cerr<<"="<<h<<","; _dbg(sdbg+1, t...); } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<"\n"; }} #else #define debug(...) (__VA_ARGS__) #define debugv(x) #define cerr if(0)cout #endif #define next ____next #define prev ____prev #define left ____left #define hash ____hash typedef long long ll; typedef long double LD; typedef pair<int, int> PII; typedef pair<ll, ll> PLL; typedef vector<int> VI; typedef vector<VI> VVI; typedef vector<ll> VLL; typedef vector<pair<int, int> > VPII; typedef vector<pair<ll, ll> > VPLL; template<class C> void mini(C&a4, C b4){a4=min(a4, b4); } template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); } template<class T1, class T2> ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";} template<class A, class B, class C> struct Triple { A first; B second; C third; bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } }; template<class T> void ResizeVec(T&, vector<int>) {} template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) { vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; } for (T& v : vec) { ResizeVec(v, sz); } } typedef Triple<int, int, int> TIII; template<class A, class B, class C> ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; } template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } template<class T> ostream& operator<<(ostream& out, set<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } template<class L, class R> ostream& operator<<(ostream& out, map<L, R> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; } VVI forw, backw; const int N = 1e3 +5; int is_forb[N]; int n, m; VI GetLongest() { VI dp(n + 1); int ans = 0; RE (i, n) { if (is_forb[i]) { dp[i] = -10000; continue; } dp[i] = 1; for (auto prv : backw[i]) { maxi(dp[i], dp[prv] + 1); } maxi(ans, dp[i]); } int guy = 0; RE (i, n) { if (is_forb[i]) { continue; } if (dp[guy] < dp[i]) { guy = i; } } VI zioms{guy}; while (1) { int found = 0; for (auto x : backw[guy]) { if (dp[x] == dp[guy] - 1) { zioms.PB(x); found = 1; guy = x; break; } } if (!found) { return zioms; } } // int cnt_on_best = 0; // FORD (i, n, 1) { // maxi(dp_forw[i], 1ll); // for (auto nxt : forw[i]) { // maxi(dp_forw[i], dp_forw[nxt] + 1); // } // if (dp_forw[i] + dp_backw[i] == ans + 1) { // cnt_on_best++; // } // } // debug(cnt_on_best, ans); } int Solve(int rem) { VI longest = GetLongest(); debug(longest); if (rem == 0) { return SZ(longest); } int ans = n; for (auto x : longest) { is_forb[x] = 1; mini(ans, Solve(rem - 1)); is_forb[x] = 0; } return ans; } int32_t main() { ios_base::sync_with_stdio(0); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); cin.tie(0); //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC; int k; //srand(clock()); cin>>n>>m>>k; //forw.resize(n + 2); backw.resize(n + 2); if (n == k) { cout<<"0\n"; return 0; } RE (i, m) { int x, y; cin>>x>>y; //forw[x].PB(y); backw[y].PB(x); } cout<<Solve(k)<<endl; return 0; } |