結果
問題 | No.1207 グラフX |
ユーザー | ok |
提出日時 | 2020-08-30 14:35:14 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 244 ms / 2,000 ms |
コード長 | 3,155 bytes |
コンパイル時間 | 1,102 ms |
コンパイル使用メモリ | 97,384 KB |
実行使用メモリ | 46,224 KB |
最終ジャッジ日時 | 2024-04-27 07:36:49 |
合計ジャッジ時間 | 10,360 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 183 ms
25,972 KB |
testcase_01 | AC | 192 ms
26,136 KB |
testcase_02 | AC | 173 ms
25,176 KB |
testcase_03 | AC | 198 ms
25,364 KB |
testcase_04 | AC | 192 ms
25,516 KB |
testcase_05 | AC | 244 ms
45,184 KB |
testcase_06 | AC | 236 ms
45,272 KB |
testcase_07 | AC | 238 ms
45,264 KB |
testcase_08 | AC | 138 ms
18,700 KB |
testcase_09 | AC | 143 ms
23,736 KB |
testcase_10 | AC | 225 ms
36,652 KB |
testcase_11 | AC | 242 ms
46,224 KB |
testcase_12 | AC | 140 ms
19,408 KB |
testcase_13 | AC | 75 ms
10,472 KB |
testcase_14 | AC | 174 ms
24,692 KB |
testcase_15 | AC | 150 ms
20,340 KB |
testcase_16 | AC | 71 ms
11,500 KB |
testcase_17 | AC | 113 ms
17,432 KB |
testcase_18 | AC | 90 ms
15,720 KB |
testcase_19 | AC | 107 ms
14,416 KB |
testcase_20 | AC | 180 ms
24,760 KB |
testcase_21 | AC | 15 ms
6,940 KB |
testcase_22 | AC | 135 ms
18,064 KB |
testcase_23 | AC | 183 ms
19,580 KB |
testcase_24 | AC | 79 ms
14,180 KB |
testcase_25 | AC | 175 ms
24,684 KB |
testcase_26 | AC | 138 ms
20,044 KB |
testcase_27 | AC | 170 ms
24,208 KB |
testcase_28 | AC | 146 ms
23,472 KB |
testcase_29 | AC | 161 ms
23,556 KB |
testcase_30 | AC | 74 ms
11,752 KB |
testcase_31 | AC | 63 ms
10,092 KB |
testcase_32 | AC | 67 ms
11,500 KB |
testcase_33 | AC | 66 ms
12,028 KB |
testcase_34 | AC | 150 ms
20,784 KB |
testcase_35 | AC | 15 ms
6,944 KB |
testcase_36 | AC | 151 ms
22,764 KB |
testcase_37 | AC | 119 ms
17,936 KB |
testcase_38 | AC | 31 ms
7,144 KB |
testcase_39 | AC | 68 ms
13,420 KB |
testcase_40 | AC | 50 ms
10,092 KB |
testcase_41 | AC | 94 ms
14,168 KB |
testcase_42 | AC | 2 ms
6,940 KB |
testcase_43 | AC | 2 ms
6,940 KB |
testcase_44 | AC | 2 ms
6,944 KB |
testcase_45 | AC | 149 ms
25,152 KB |
testcase_46 | AC | 157 ms
25,152 KB |
testcase_47 | AC | 166 ms
25,416 KB |
testcase_48 | AC | 155 ms
25,152 KB |
ソースコード
#include<iostream> #include<string> #include<iomanip> #include<cmath> #include<vector> #include<algorithm> #include<utility> using namespace std; #define int long long #define endl "\n" constexpr long long INF = (long long)1e18; constexpr long long MOD = 1'000'000'007; struct fast_io { fast_io(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); }; } fio; class union_find { int _setnum; vector<int> par, nume; public: union_find(){ } union_find(int x){ par.resize(x); nume.resize(x); init(); } ~union_find(){ // } void clear(){ _setnum = 0; par.clear(); nume.clear(); } void init(){ _setnum = par.size(); for(int i = 0; i < par.size(); i++){ par[i] = i; nume[i] = 1; } } void resize(int x){ par.resize(x); nume.resize(x); init(); } int find(int x){ return par[x] == x ? x : par[x] = find(par[x]); } void unite(int x, int y){ x = find(x); y = find(y); if(x == y)return; _setnum--; if(nume[x] > nume[y]) std::swap(x,y); par[x] = y; nume[y] += nume[x]; } bool same(int x, int y){ return find(x) == find(y); } int numel(int x){ return nume[find(x)]; } int size(){ return par.size(); } int setnum(){ return _setnum; } }; vector<vector<pair<int,int>>> kruskal(vector<pair<int,pair<int,int>>>& edge, int V){ union_find uf(V); int res = 0, count = 0; vector<vector<pair<int,int>>> tree(V); sort(edge.begin(), edge.end()); for(int i = 0; i < edge.size(); i++){ if(!uf.same(edge[i].second.first, edge[i].second.second)){ uf.unite(edge[i].second.first, edge[i].second.second); res += edge[i].first; tree[edge[i].second.first].push_back({edge[i].second.second, edge[i].first}); tree[edge[i].second.second].push_back({edge[i].second.first, edge[i].first}); count++; } } return tree; // if(count == V-1) return res; // return -1; } long long power(long long x, long long n){ long long ans = 1; for(;n;n >>= 1, x *= x, ans %= MOD, x %= MOD) if(n&1)ans*=x; return ans % MOD; } int ans = 0; int X; int solve(vector<vector<pair<int,int>>> &tree, int cur, int per){ int sum = 1; for(pair<int,int> nex : tree[cur]){ if(nex.first == per) continue; int temp = solve(tree, nex.first, cur); sum += temp; // cout<<"cur = "<<cur<<" nex = "<<nex.first<<" nex.s = "<<nex.second<<" temp = "<<temp<<" tree "<<tree.size()<<endl; // cout<<power(X, nex.second) * temp % MOD * ((int)tree.size() - temp) <<endl; ans += power(X, nex.second) * temp % MOD * ((int)tree.size() - temp) % MOD; ans %= MOD; } return sum; } signed main(){ cout<<fixed<<setprecision(10); int N, M; vector<pair<int,pair<int,int>>> edge; vector<vector<pair<int,int>>> tree; cin>>N>>M>>X; for(int i = 0; i < M; i++){ int x, y, z; cin>>x>>y>>z; x--, y--; edge.push_back({z, {x, y}}); } tree = kruskal(edge, N); solve(tree, 0, -1); cout<<ans<<endl; return 0; }