# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1111700 | 2024-11-12T16:52:55 Z | PagodePaiva | Paths (BOI18_paths) | C++17 | 0 ms | 0 KB |
#include<bits/stdc++.h> #define int long long using namespace std; const int N = 300010; int n,m, k; vector <int> g[N]; int cor[N]; int res = 0; int dp[N][6]; int dp2[N][N]; void solve(int x){ if(x == 2){ int t = 0; for(int i = 1;i <= n;i++){ for(auto x : g[i]){ if(cor[x] != cor[i]) t++; } } res += t; return; } if(x == 3){ for(int v = 1;v <= n;v++){ int resp = 0; for(auto x : g[v]){ if(cor[x] == cor[v]) continue; for(int j = 1;j <= k;j++){ if(j == cor[x] or j == cor[v]) continue; resp += dp[v][j]; } } res += resp; } return; } if(x == 4){ for(int v = 1;v <= n;v++){ int resp = 0; for(auto x : g[v]){ if(cor[x] == cor[v]) continue; for(int j = 1;j <= k;j++){ if(cor[x] == j or cor[v] == j) continue; for(int t = 1;t <= k;t++){ if(cor[x] == t or cor[v] == t or j == t) continue; resp += dp[v][j]*dp[x][t]; } } } res += resp; } } if(x == 5){ for(int v = 1;v <= n;v++){ for(int j = 1;j <= k;j++){ if(j == cor[v]) continue; for(int t = 1;t <= k;t++){ if(j == t or t == cor[v])continue; set <int> s; s.insert(1); s.insert(2); s.insert(3); s.insert(4); s.insert(5); s.erase(j); s.erase(k); s.erase(cor[v]); auto it = s.begin(); int c1 = *it; it++; int c2 = *it; res += dp2[v][j][t]*(dp2[v][c1][c2] + dp2[v][c2][c1]); } } } } } int32_t main(){ cin >> n >> m >> k; for(int i = 1;i <= n;i++){ cin >> cor[i]; } for(int i = 0;i < m;i++){ int a, b; cin >> a >> b; g[a].push_back(b); g[b].push_back(a); } for(int i = 1;i <= n;i++){ int v = i; for(auto x : g[v]){ dp[v][cor[x]]++; } } for(int i = 1;i <= n;i++){ for(auto x : g[v]){ int c1 = cor[x]; for(int j = 1;j <= 5;j++){ if(j == cor[v] or j == c1) continue; dp2[v][c1][j] += dp[x][j]; } } } for(int i = 2;i <= k;i++){ solve(i); } cout << res << '\n'; }