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93 changes: 93 additions & 0 deletions src/week4/BOJ17471/BOJ17471_V1.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,93 @@
#include <bits/stdc++.h>
using namespace std;
int N;
int ret = INT_MAX;
vector<vector<int>> ll;
int person[11];
int visited[11];
bool selected[11];
void traversal(int i, bool group) {
for (int next : ll[i]) {
if (visited[next] || selected[next] != group) continue;
visited[next] = 1;
traversal(next, group);
}
}
bool isConnected(bool group) {
memset(visited, 0, sizeof(visited));
int start = -1;
for (int i = 1; i <= N; i++) {
if (selected[i] == group) {
start = i;
break;
}
}
if (start == -1) return false;
visited[start] = 1;
traversal(start, group);

for (int i = 1; i <= N; i++) {
if (selected[i] == group && !visited[i]) return false;
}

return true;
}
int calculate(int bit_num) {
memset(selected, false, sizeof(selected));
int diff = -1;
int a_sum = 0;
int b_sum = 0;
for (int j = 0; j < N; j++) {
if (bit_num & (1 << j)) {
selected[j+1] = true;
}
}

if (!isConnected(true)) return -1;
if (!isConnected(false)) return -1;

for (int i = 1; i <= N; i++) {
if (selected[i]) a_sum += person[i];
else b_sum += person[i];
}

return abs(a_sum - b_sum);
}

int main() {

ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);

cin >> N;
ll.resize(N+1);
for (int i = 1; i <= N; i++) {
cin >> person[i];
}

for (int i = 1; i <= N; i++) {
int num;
cin >> num;
for (int j = 0; j < num; j++) {
int temp;
cin >> temp;
ll[i].push_back(temp);
}
}

for (int i=1; i<(1 << N); i++) {

int diff = calculate(i);
if (diff != -1) {
ret = min(ret, diff);
}
}

if (ret == INT_MAX) {
cout << -1 << '\n';
} else
cout << ret << '\n';

return 0;
}
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