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>
using namespace std;
#define ll long long
#define vt vector
#define ar array
void solve(){
int n, m, k;
cin >> n >> m >> k;
int colors[n];
for(int i = 0; i < n; i++){
cin >> colors[i];
colors[i]--;
if (colors[i] == 0) colors[i] = 1;
else if (colors[i] == 1) colors[i] = 2;
else if (colors[i] == 2) colors[i] = 4;
else if (colors[i] == 3) colors[i] = 8;
else if (colors[i] == 4) colors[i] = 16;
}
// map<int, vt<int>> lines;
vt<pair<int, int>> onlyLines;
for(int i = 0; i < m; i++){
int a, b;
cin >> a >> b;
a--; b--;
// if (lines.find(a) == lines.end()) lines[a] = {};
// if (lines.find(b) == lines.end()) lines[b] = {};
// lines[a].push_back(b);
// lines[b].push_back(a);
onlyLines.push_back({a, b});
}
map<int, map<int, int>> amount;
amount[0] = {};
for(int j = 0; j < 1<<k; j++){
amount[0][j] = 0;
}
for(int i = 1; i < n; i++) amount[i] = amount[0];
for(int i = 0; i < n; i++){
amount[i][colors[i]] = 1;
}
ll res = 0;
for(int i = 2; i <= k; i++){
vt<int> nums = {};
for(int j = 0; j < 1<<k; j++){
if (__builtin_popcount(j) == i) nums.push_back(j);
}
for (pair<int, int> line : onlyLines){
for(int j : nums){
if (!(j & colors[line.first]) || !(j & colors[line.second])) continue;
ll mykk = amount[line.second][j - colors[line.first]];
amount[line.first][j] += mykk;
res += mykk;
mykk = amount[line.first][j - colors[line.second]];
amount[line.second][j] += mykk;
res += mykk;
}
}
}
cout << res << endl;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
int testcases = 1;
// cin >> testcases;
while(testcases--){
solve();
}
return 0;
}
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