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
| int cntdfs1, dfs[MAXnd + 10], low[MAXnd + 10]; int back[MAXnd + 10], throwback[MAXnd + 10], bottom[MAXnd + 10]; int cntdcc; vector<pair<int, int>> dcc[MAXnd + 10]; int topstk, stk[MAXnd + 10]; void Tarjan(int cur) { dfs[cur] = low[cur] = ++cntdfs1; if (!head1[cur]) { dcc[++cntdcc].push_back(make_pair(cur, 0)); return; } stk[++topstk] = cur; for (int i = head1[cur]; i; i = nex[i]) { if (dfs[to[i]]) { if (low[cur] > dfs[to[i]]) { low[cur] = dfs[to[i]]; throwback[cur] = wei[i]; } } else { back[to[i]] = wei[i]; Tarjan(to[i]); low[cur] = min(low[cur], low[to[i]]); if (low[to[i]] >= dfs[cur]) { ++cntdcc; int x; x = stk[topstk--]; dcc[cntdcc].push_back(make_pair(cur, throwback[x])); dcc[cntdcc].push_back(make_pair(x, back[x])); while (x != to[i]) { x = stk[topstk--]; dcc[cntdcc].push_back(make_pair(x, back[x])); } } } } bottom[cur] = cntdfs1; }
int tresum[MAXnd + 10]; int fa[MAXnd + 10], dep[MAXnd + 10], siz[MAXnd + 10], hson[MAXnd + 10]; void Dfs1(int cur, int f, int tsum) { fa[cur] = f; tresum[cur] = tsum; dep[cur] = dep[fa[cur]] + 1; siz[cur] = 1; int mxsonsiz = 0; for (int i = head2[cur]; i; i = nex[i]) { if (to[i] == fa[cur]) continue; Dfs1(to[i], cur, tresum[cur] + wei[i]); siz[cur] += siz[to[i]]; if (mxsonsiz < siz[to[i]]) { mxsonsiz = siz[to[i]]; hson[cur] = to[i]; } } } int cntdfs2, nddfs[MAXnd + 10], idxdfs[MAXnd + 10], top[MAXnd + 10]; void Dfs2(int cur, int tp) { nddfs[cur] = ++cntdfs2; idxdfs[cntdfs2] = cur; top[cur] = tp; if (hson[cur]) { Dfs2(hson[cur], tp); } for (int i = head2[cur]; i; i = nex[i]) { if (to[i] == fa[cur] || to[i] == hson[cur]) continue; Dfs2(to[i], to[i]); } } void Lca(int x, int y, int &lca, int &xnear, int &ynear) { lca = xnear = ynear = 0; while (top[x] != top[y]) { if (dep[top[x]] > dep[top[y]]) { xnear = top[x]; x = fa[top[x]]; } else { ynear = top[y]; y = fa[top[y]]; } } if (dep[x] > dep[y]) { lca = y; xnear = idxdfs[nddfs[lca] + 1]; } else if (dep[x] < dep[y]) { lca = x; ynear = idxdfs[nddfs[lca] + 1]; } else { lca = x; } }
int cirsum[MAXnd + 10];
int n, m, q; int N; signed main() { read(n, m, q); for (int i = 1, u, v, w; i <= m; ++i) { read(u, v, w); Insert(head1, u, v, w); Insert(head1, v, u, w); } for (int i = 1; i <= n; ++i) { if (!dfs[i]) { Tarjan(i); } } N = n; for (int i = 1, dccsiz; i <= cntdcc; ++i) { dccsiz = dcc[i].size(); if (dccsiz == 1) { ; } else if (dccsiz == 2) { Insert(head2, dcc[i][0].first, dcc[i][1].first, dcc[i][0].second); } else { ++N; cirsum[dcc[i][dccsiz - 1].first] = dcc[i][dccsiz - 1].second; for (int j = dccsiz - 2; j; --j) { cirsum[dcc[i][j].first] = cirsum[dcc[i][j + 1].first] + dcc[i][j].second; } cirsum[N] = cirsum[dcc[i][1].first] + dcc[i][0].second; Insert(head2, dcc[i][0].first, N, 0); for (int j = 1; j < dccsiz; ++j) { Insert(head2, N, dcc[i][j].first, min(cirsum[dcc[i][j].first], cirsum[N] - cirsum[dcc[i][j].first])); } } } Dfs1(1, 0, 0); Dfs2(1, 1); for (int i = 1, x, y, lca, xnear, ynear; i <= q; ++i) { read(x, y); Lca(x, y, lca, xnear, ynear); if (lca <= n) { printf("%d\n", tresum[x] + tresum[y] - 2 * tresum[lca]); } else { int tmp = abs(cirsum[xnear] - cirsum[ynear]); printf("%d\n", tresum[x] - tresum[xnear] + tresum[y] - tresum[ynear] + min(tmp, cirsum[lca] - tmp)); } } return 0; }
|