bfs와 dfs를 적절히 조합하여 푼 문제이다. 크게 어렵지는 않지만 조심해야하는 부분들이 있고 최적화를 잘 해주어야 한다.
단순히 거리를 구하는 편이 속도도 빠르고 쉽다. 아래에 다른 풀이 코드도 참조한다.
#include <iostream>
#include <vector>
#include <queue>
using namespace std;
int n, m, num, answer = INT32_MAX;
int dx[4] = {-1, 0, 1, 0}, dy[4] = {0, 1, 0, -1};
vector<pair<int, int>> stores, houses;
vector<vector<int>> board(50, vector<int>(50, -1));
queue<pair<int,int>> q;
void calChickenScore(vector<int>& vis) {
for(auto& c : board) fill(c.begin(), c.end(), -1);
while (!q.empty()) q.pop();
for (auto& c : vis) {
q.push(stores[c]);
board[stores[c].first][stores[c].second] = 0;
}
while (!q.empty()) {
pair<int, int> cur = q.front(); q.pop();
for (int dir=0; dir<4; dir++) {
int nx = cur.first + dx[dir], ny = cur.second + dy[dir];
if (nx<0 || ny<0 || nx>=n || ny>=n) continue;
if (board[nx][ny] >= 0) continue;
board[nx][ny] = board[cur.first][cur.second] + 1;
q.push({nx, ny});
}
}
int res = 0;
for (auto& h : houses) {
res += board[h.first][h.second];
}
answer = min(answer, res);
}
void chooseStores(int cnt, int idx, vector<int>& vis) {
if (cnt == m) {
calChickenScore(vis);
return ;
}
for (int i=idx; i<stores.size(); i++) {
vis[cnt] = i;
chooseStores(cnt+1, i+1, vis);
}
}
int main() {
cin >> n >> m;
vector<int> vis(m, 0);
for (int i=0; i<n; i++) {
for (int j=0; j<n; j++) {
cin >> num;
if (num == 1) houses.push_back({i, j});
else if (num == 2) stores.push_back({i, j});
}
}
chooseStores(0, 0, vis);
cout << answer << "\n";
}
#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
using namespace std;
int n, m, answer = INT32_MAX;
vector<pair<int, int>> house, chicken, vis(13);
void dfs(int cnt, int idx) {
if (cnt == m) {
int distance = 0;
for (auto& h : house) {
int score = INT32_MAX;
for (int i=0; i<cnt; i++) {
score = min(score, abs(h.first - vis[i].first) + abs(h.second - vis[i].second));
}
distance += score;
}
answer = min(answer, distance);
return;
}
for (int i = idx; i < chicken.size(); i++) {
vis[cnt] = chicken[i];
dfs(cnt+1, i+1);
}
}
int main() {
int num;
cin >> n >> m;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
cin >> num;
if (num == 2) {
chicken.push_back({ i, j });
} else if (num == 1) {
house.push_back({ i, j });
}
}
}
dfs(0, 0);
cout << answer << "\n";
}