Approach
전형적인 다익스트라 문제이다.
DFS / BFS 문제처럼 상하좌우 방문해주면서 dist를 갱신해주면 된다.
Code
#include <bits/stdc++.h>
#define fastio cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef pair<int, int> pii;
typedef unsigned long long ull;
typedef long long ll;
typedef vector <ull> ullv1;
typedef vector <vector <ull> > ullv2;
typedef tuple<int, int, int> tiii;
const int INF = INT_MAX;
int move_x[4] = {-1, 1, 0, 0};
int move_y[4] = {0, 0, -1, 1};
int main() {
fastio;
int t = 1;
while(true){
int n;
cin >> n;
if(n == 0) break;
int dist[125][125];
fill(&dist[0][0], &dist[125][125], INF);
int charge[125][125];
for(int i = 0; i < n; i++){
for(int j = 0; j < n; j++){
cin >> charge[i][j];
}
}
dist[0][0] = charge[0][0];
priority_queue<tiii, vector<tiii>, greater<tiii> > pq;
pq.push({dist[0][0], 0, 0});
while(!pq.empty()){
int cur_cost, cur_x, cur_y;
tie(cur_cost, cur_x, cur_y) = pq.top();
pq.pop();
if(dist[cur_x][cur_y] < cur_cost) continue;
for(int i = 0; i < 4; i++){
int dx = cur_x + move_x[i];
int dy = cur_y + move_y[i];
if(dx < 0 || dx >= n || dy < 0 || dy >= n) continue;
if(cur_cost + charge[dx][dy] < dist[dx][dy]){
dist[dx][dy] = cur_cost + charge[dx][dy];
pq.push({dist[dx][dy], dx, dy});
}
}
}
cout << "Problem " << t++ << ": " << dist[n - 1][n - 1] << "\n";
}
return 0;
}