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| 1 | +#include <bits/stdc++.h> |
| 2 | + |
| 3 | +using namespace std; |
| 4 | + |
| 5 | +void solve() { |
| 6 | + int n, m, q; |
| 7 | + cin >> n >> m >> q; |
| 8 | + int sq = (int)sqrt(n) + 1; |
| 9 | + vector<vector<pair<int, int>>> g(n); |
| 10 | + map<pair<int, int>, int> mapw; |
| 11 | + for (int i = 0; i < m; ++i) { |
| 12 | + int u, v, w; |
| 13 | + cin >> u >> v >> w; |
| 14 | + --u, --v; |
| 15 | + g[u].emplace_back(v, w); |
| 16 | + g[v].emplace_back(u, w); |
| 17 | + mapw[make_pair(u, v)] = w; |
| 18 | + mapw[make_pair(v, u)] = w; |
| 19 | + } |
| 20 | + vector<int> id(n, -1); |
| 21 | + vector<int> big; |
| 22 | + for (int i = 0; i < n; ++i) { |
| 23 | + if ((int)g[i].size() <= sq) continue; |
| 24 | + id[i] = big.size(); |
| 25 | + big.push_back(i); |
| 26 | + } |
| 27 | + int nbig = big.size(); |
| 28 | + vector<vector<long long>> cost(nbig, vector<long long>(nbig, 0)); |
| 29 | + for (int i = 0; i < n; ++i) { |
| 30 | + vector<pair<int, int>> cur; |
| 31 | + for (auto [u, w] : g[i]) { |
| 32 | + if (id[u] < 0) continue; |
| 33 | + int b1 = id[u]; |
| 34 | + for (auto [b2, w2] : cur) { |
| 35 | + assert(b1 != b2); |
| 36 | + int res = min(w, w2); |
| 37 | + cost[b1][b2] += res; |
| 38 | + cost[b2][b1] += res; |
| 39 | + } |
| 40 | + cur.emplace_back(b1, w); |
| 41 | + } |
| 42 | + } |
| 43 | + vector<long long> ans(q, 0); |
| 44 | + vector<int> x(q), y(q); |
| 45 | + vector<vector<pair<int, int>>> process(n); |
| 46 | + for (int i = 0; i < q; ++i) { |
| 47 | + cin >> x[i] >> y[i]; |
| 48 | + --x[i]; |
| 49 | + --y[i]; |
| 50 | + ans[i] = 2LL * mapw[make_pair(x[i], y[i])]; |
| 51 | + int bx = id[x[i]]; |
| 52 | + int by = id[y[i]]; |
| 53 | + if (bx >= 0 && by >= 0) { |
| 54 | + ans[i] += cost[bx][by]; |
| 55 | + } else if (g[x[i]].size() < g[y[i]].size()) { |
| 56 | + process[y[i]].emplace_back(x[i], i); |
| 57 | + } else { |
| 58 | + process[x[i]].emplace_back(y[i], i); |
| 59 | + } |
| 60 | + } |
| 61 | + vector<int> curw(n, 0); |
| 62 | + for (int v = 0; v < n; ++v) { |
| 63 | + for (auto [u, w] : g[v]) { |
| 64 | + curw[u] = w; |
| 65 | + } |
| 66 | + for (auto [u, i] : process[v]) { |
| 67 | + for (auto [other, w2] : g[u]) { |
| 68 | + ans[i] += min(w2, curw[other]); |
| 69 | + } |
| 70 | + } |
| 71 | + for (auto [u, w] : g[v]) { |
| 72 | + curw[u] = 0; |
| 73 | + } |
| 74 | + } |
| 75 | + |
| 76 | + for (int i = 0; i < q; ++i) { |
| 77 | + printf("%lld%c", ans[i], i+1 == q ? '\n' : ' ' ); |
| 78 | + } |
| 79 | +} |
| 80 | + |
| 81 | +int main(int argc, char * argv[]) { |
| 82 | + clock_t starttime = clock(); |
| 83 | + int seed = time(0); |
| 84 | + if (argc >= 2) { |
| 85 | + seed = atoi(argv[1]); |
| 86 | + } |
| 87 | + cerr << "random seed\t= " << seed << endl; |
| 88 | + srand(seed); |
| 89 | + |
| 90 | + int tt; |
| 91 | + scanf("%d", &tt); |
| 92 | + for (int tc = 1; tc <= tt; ++tc) { |
| 93 | + printf("Case #%d: ", tc); |
| 94 | + solve(); |
| 95 | + fflush(stdout); |
| 96 | + cerr << "~ TC#" << tc << " done! execution time : " << |
| 97 | + (double)(clock() - starttime) / CLOCKS_PER_SEC << " s " << endl; |
| 98 | + } |
| 99 | + return 0; |
| 100 | +} |
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