/* -*- coding: utf-8 -*- * * 977.cc: No.977 アリス仕掛けの摩天楼 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; /* typedef */ typedef vector vi; struct UFT { int links[MAX_N], ranks[MAX_N], sizes[MAX_N]; UFT() {} void init(int n) { for (int i = 0; i < n; i++) links[i] = i, ranks[i] = sizes[i] = 1; } int root(int i) { int i0 = i; while (links[i0] != i0) i0 = links[i0]; return (links[i] = i0); } int rank(int i) { return ranks[root(i)]; } int size(int i) { return sizes[root(i)]; } bool same(int i, int j) { return root(i) == root(j); } int merge(int i0, int i1) { int r0 = root(i0), r1 = root(i1), mr; if (r0 == r1) return r0; if (ranks[r0] == ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; ranks[r0]++; mr = r0; } else if (ranks[r0] > ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; mr = r0; } else { links[r0] = r1; sizes[r1] += sizes[r0]; mr = r1; } return mr; } }; /* global variables */ vi nbrs[MAX_N]; UFT uft; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); uft.init(n); for (int i = 1; i < n; i++) { int u, v; scanf("%d%d", &u, &v); nbrs[u].push_back(v); nbrs[v].push_back(u); if (! uft.same(u, v)) uft.merge(u, v); } int c = 0; for (int i = 0; i < n; i++) if (uft.root(i) == i) c++; if (c == 1) puts("Bob"); else if (c >= 3) puts("Alice"); else { // c == 2 for (int i = 0; i < n; i++) { int sz = uft.size(i); if (sz != 1 && (sz != n - 1 || nbrs[i].size() != 2)) { puts("Alice"); return 0; } } puts("Bob"); } return 0; }