#pragma GCC optimize ("Ofast") #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; } template void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){ int i; pair*arr; walloc1d(&arr, N, &mem); for(i=(0);i<(N);i++){ arr[i].first = a[i]; arr[i].second = b[i]; } sort(arr, arr+N); for(i=(0);i<(N);i++){ a[i] = arr[i].first; b[i] = arr[i].second; } } template void sortA_L(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){ int i; pair >*arr; walloc1d(&arr, N, &mem); for(i=(0);i<(N);i++){ arr[i].first = a[i]; arr[i].second.first = b[i]; arr[i].second.second = c[i]; } sort(arr, arr+N); for(i=(0);i<(N);i++){ a[i] = arr[i].first; b[i] = arr[i].second.first; c[i] = arr[i].second.second; } } template void rsortA_L(int N, T1 a[], T2 b[], void *mem = wmem){ sortA_L(N, a, b, mem); reverse(a, a+N); reverse(b, b+N); } template void rsortA_L(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){ sortA_L(N, a, b, c, mem); reverse(a, a+N); reverse(b, b+N); reverse(c, c+N); } 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; } } 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(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } 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; } } ; struct graph{ int N; int*es; int**edge; void setEdge(int N__, int M, int A[], int B[], void **mem = &wmem){ int i; N = N__; walloc1d(&es, N, mem); walloc1d(&edge, N, mem); for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ es[A[i]]++; es[B[i]]++; } for(i=(0);i<(N);i++){ walloc1d(&edge[i], es[i], mem); } for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ edge[A[i]][es[A[i]]++] = B[i]; edge[B[i]][es[B[i]]++] = A[i]; } } void getDist(int root, int res[], void *mem = wmem){ int i; int j; int k; int*q; int s; int z; walloc1d(&q, N, &mem); for(i=(0);i<(N);i++){ res[i]=-1; } res[root]=0; s=0; z=1; q[0]=root; while(z){ i=q[s++]; z--; for(j=(0);j<(es[i]);j++){ k=edge[i][j]; if(res[k]>=0){ continue; } res[k]=res[i]+1; q[s+z++]=k; } } } int getDist(int a, int b, void *mem = wmem){ int i; int j; int k; int*q; int s; int z; int*d; if(a==b){ return 0; } walloc1d(&d, N, &mem); walloc1d(&q, N, &mem); for(i=(0);i<(N);i++){ d[i] = -1; } d[a] = 0; s = 0; z = 1; q[0] = a; while(z){ i = q[s++]; z--; for(j=(0);j<(es[i]);j++){ k = edge[i][j]; if(d[k] >= 0){ continue; } d[k] = d[i] + 1; if(k==b){ return d[k]; } q[s+z++] = k; } } return -1; } } ; int N; int M; int A[100000]; int B[100000]; int D[100000]; graph g; int main(){ int i; wmem = memarr; int r1; int r2; unionFind uf; rd(N); rd(M); { int Lj4PdHRW; for(Lj4PdHRW=(0);Lj4PdHRW<(M);Lj4PdHRW++){ rd(A[Lj4PdHRW]);A[Lj4PdHRW] += (-1); rd(B[Lj4PdHRW]);B[Lj4PdHRW] += (-1); rd(D[Lj4PdHRW]); } } rsortA_L(M,D,A,B); uf.walloc(N,1); for(i=(0);i<(N);i++){ uf(A[i], B[i]); if(uf(0) == uf(N-1)){ r1 = D[i]; break; } } while(D[M-1] < r1){ M--; } g.setEdge(N,M,A,B); r2 = g.getDist(0, N-1); wt_L(r1); wt_L(' '); wt_L(r2); wt_L('\n'); return 0; } // cLay version 20210405-1 // --- original code --- // int N, M, A[1d5], B[], D[]; // graph g; // { // int r1, r2; // unionFind uf; // rd(N,M,(A--,B--,D)(M)); // rsortA(M,D,A,B); // uf.walloc(N,1); // rep(i,N){ // uf(A[i], B[i]); // if(uf(0) == uf(N-1)) r1 = D[i], break; // } // while(D[M-1] < r1) M--; // g.setEdge(N,M,A,B); // r2 = g.getDist(0, N-1); // wt(r1, r2); // }