# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
563671 | colossal_pepe | 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 <iostream>
#include <vector>
using namespace std;
using ll = long long;
int n, m, k, c[300005];
ll dp[300005][6][6][6][6];
vector<vector<int>> g;
ll solve() {
ll ans = 0;
if (k < 2) return ans;
for (int u = 0; u < n; u++) {
for (int v : g[u]) {
dp[u][c[v]][0][0][0]++;
}
for (int c1 = 1; c1 <= k; c1++) {
if (c1 == c[u]) continue;
ans += dp[u][c1][0][0][0];
}
}
if (k < 3) return ans;
for (int u = 0; u < n; u++) {
for (int v : g[u]) {
for (int c1 = 1; c1 <= k; c1++) {
dp[u][c[v]][c1][0][0] += dp[v][c1][0][0][0];
}
}
for (int c1 = 1; c1 <= k; c1++) {
if (c1 == c[u]) continue;
for (int c2 = 1; c2 <= k; c2++) {
if (c2 == c[u] or c2 == c1) continue;
ans += dp[u][c1][c2][0][0];
}
}
}
if (k < 4) return ans;
for (int u = 0; u < n; u++) {
for (int v : g[u]) {
for (int c1 = 1; c1 <= k; c1++) {
for (int c2 = 1; c2 <= k; c2++) {
dp[u][c[v]][c1][c2][0] += dp[v][c1][c2][0][0];
}
}
}
for (int c1 = 1; c1 <= k; c1++) {
if (c1 == c[u]) continue;
for (int c2 = 1; c2 <= k; c2++) {
if (c2 == c[u] or c2 == c1) continue;
for (int c3 = 1; c3 <= k; c3++) {
if (c3 == c[u] or c3 == c1 or c3 == c2) continue;
ans += dp[u][c1][c2][c3][0];
}
}
}
}
if (k < 5) return ans;
for (int u = 0; u < n; u++) {
for (int v : g[u]) {
for (int c1 = 1; c1 <= k; c1++) {
for (int c2 = 1; c2 <= k; c2++) {
for (int c3 = 1; c3 <= k; c3++) {
dp[u][c[v]][c1][c2][c3] += dp[v][c1][c2][c3][0];
}
}
}
}
for (int c1 = 1; c1 <= k; c1++) {
if (c1 == c[u]) continue;
for (int c2 = 1; c2 <= k; c2++) {
if (c2 == c[u] or c2 == c1) continue;
for (int c3 = 1; c3 <= k; c3++) {
if (c3 == c[u] or c3 == c1 or c3 == c2) continue;
for (int c4 = 1; c4 <= k; c4++) {
if (c4 == c[u] or c4 == c1 or c4 == c2 or c4 == c3) continue;
ans += dp[u][c1][c2][c3][c4];
}
}
}
}
}
return ans;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m >> k;
g.resize(n);
for (int i = 0; i < n; i++) {
cin >> c[i];
}
while (m--) {
int u, v;
cin >> u >> v;
u--, v--;
g[u].push_back(v);
g[v].push_back(u);
}
cout << solve() << endl;
return 0;
}