/* -*- coding: utf-8 -*- * * 1640.cc: No.1640 簡単な色塗り - 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 pair pii; typedef vector vpii; 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 */ UFT uft; vpii nbrs[MAX_N]; int rts[MAX_N], res[MAX_N], eps[MAX_N]; int ps[MAX_N], pes[MAX_N], cis[MAX_N]; /* subroutines */ /* main */ int main() { int n; scanf("%d", &n); uft.init(n); memset(rts, -1, sizeof(rts)); memset(res, -1, sizeof(res)); for (int i = 0; i < n; i++) { int a, b; scanf("%d%d", &a, &b); a--, b--; int ra = uft.root(a), rb = uft.root(b); if (ra == rb) rts[ra] = a, res[ra] = i; else { uft.merge(ra, rb); nbrs[a].push_back(pii(b, i)); nbrs[b].push_back(pii(a, i)); } } for (int u = 0; u < n; u++) if (rts[uft.root(u)] < 0) { puts("No"); return 0; } memset(eps, -1, sizeof(eps)); for (int ru = 0; ru < n; ru++) { if (ru != uft.root(ru)) continue; int rt = rts[ru], re = res[ru]; eps[re] = rt; ps[rt] = pes[rt] = -1; for (int u = rt; u >= 0;) { vpii &nbru = nbrs[u]; int up = ps[u]; if (cis[u] < nbru.size()) { pii ve = nbru[cis[u]++]; int v = ve.first, e = ve.second; if (v != up) { ps[v] = u, pes[v] = e; u = v; } } else { if (up >= 0) eps[pes[u]] = u; u = up; } } } puts("Yes"); for (int i = 0; i < n; i++) printf("%d\n", eps[i] + 1); return 0; }