#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("inline") #include using namespace std; void*wmem; char memarr[96000000]; template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } template inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void rd(char &c){ int i; for(;;){ i = my_getchar_unlocked(); if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF){ break; } } c = i; } inline int rd(char c[]){ int i; int sz = 0; for(;;){ i = my_getchar_unlocked(); if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF){ break; } } c[sz++] = i; for(;;){ i = my_getchar_unlocked(); if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF){ break; } c[sz++] = i; } c[sz]='\0'; return sz; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar_unlocked(c[i]); } } struct unionFind{ int*d; int N; int M; inline void malloc(const int n){ d = (int*)std::malloc(n*sizeof(int)); M = n; } inline void malloc(const int n, const int fg){ d = (int*)std::malloc(n*sizeof(int)); M = n; if(fg){ init(n); } } inline void free(void){ std::free(d); } inline void walloc(const int n, void **mem=&wmem){ walloc1d(&d, n, mem); M = n; } inline void walloc(const int n, const int fg, void **mem=&wmem){ walloc1d(&d, n, mem); M = n; if(fg){ init(n); } } inline void init(const int n){ int i; N = n; for(i=(0);i<(n);i++){ d[i] = -1; } } inline void init(void){ init(M); } inline int get(int a){ int t = a; int k; while(d[t]>=0){ t=d[t]; } while(d[a]>=0){ k=d[a]; d[a]=t; a=k; } return a; } inline int connect(int a, int b){ if(d[a]>=0){ a=get(a); } if(d[b]>=0){ b=get(b); } if(a==b){ return 0; } if(d[a] < d[b]){ d[a] += d[b]; d[b] = a; } else{ d[b] += d[a]; d[a] = b; } return 1; } inline int operator()(int a){ return get(a); } inline int operator()(int a, int b){ return connect(a,b); } inline int& operator[](const int a){ return d[a]; } inline int size(int a){ a = get(a); return -d[a]; } inline int sizeList(int res[]){ int i; int sz=0; for(i=(0);i<(N);i++){ if(d[i]<0){ res[sz++] = -d[i]; } } return sz; } inline int comp(int res[], void *mem = wmem){ int i; int sz=0; int*cnt; walloc1d(&cnt, N, &mem); for(i=(0);i<(N);i++){ cnt[i] = 0; } for(i=(0);i<(N);i++){ cnt[get(i)] = 1; } for(i=(0);i<(N);i++){ if(cnt[i]){ cnt[i] = sz++; } } for(i=(0);i<(N);i++){ res[i] = cnt[get(i)]; } return sz; } } ; int N; int A[10000]; int B[10000]; char C[10000][102]; int main(){ wmem = memarr; int i; int k = 0; unionFind uf; rd(N); { int Lj4PdHRW; for(Lj4PdHRW=(0);Lj4PdHRW<(N*(N-1)/2);Lj4PdHRW++){ rd(A[Lj4PdHRW]);A[Lj4PdHRW] += (-1); rd(B[Lj4PdHRW]);B[Lj4PdHRW] += (-1); rd(C[Lj4PdHRW]); } } uf.walloc(N,1); for(i=(0);i<(N*(N-1)/2);i++){ k += uf(A[i], B[i]); if(k==N-1){ wt_L(C[i]); wt_L('\n'); break; } } return 0; } // cLay version 20210717-1 [beta] // --- original code --- // int N, A[1d4], B[]; // char C[1d4][102]; // { // int i, k = 0; // unionFind uf; // rd(N,(A--,B--,C)(N*(N-1)/2)); // uf.walloc(N,1); // rep(i,N*(N-1)/2){ // k += uf(A[i], B[i]); // if(k==N-1) wt(C[i]), break; // } // }