# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1111700 | PagodePaiva | Paths (BOI18_paths) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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';
}