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bongf/java/src/ch17_shortest_path/Q39_MarsExploration.java
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package ch17_shortest_path; | ||
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import java.io.BufferedReader; | ||
import java.io.IOException; | ||
import java.io.InputStreamReader; | ||
import java.util.Arrays; | ||
import java.util.PriorityQueue; | ||
import java.util.Scanner; | ||
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public class Q39_MarsExploration { | ||
public static BufferedReader br; | ||
public static void main(String[] args) throws IOException { | ||
br = new BufferedReader(new InputStreamReader(System.in)); | ||
int t = Integer.parseInt(br.readLine()); | ||
for (int i = 0; i < t; i++) { | ||
System.out.println(exploration()); | ||
} | ||
} | ||
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public static int exploration() throws IOException { | ||
int n = Integer.parseInt(br.readLine()); | ||
int[][] board = new int[n][n]; | ||
for (int i = 0; i < n; i++) { | ||
Integer[] input = Arrays.stream(br.readLine().split(" ")).map(Integer::parseInt).toArray(Integer[]::new); | ||
for (int j = 0; j < n; j++) { | ||
board[i][j] = input[j]; | ||
} | ||
} | ||
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int[][] distance = new int[n][n]; | ||
for (int i = 0; i < n; i++) { | ||
Arrays.fill(distance[i], Integer.MAX_VALUE); | ||
} | ||
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int[] dx = { -1, 0, 1, 0}; | ||
int[] dy = { 0, 1, 0, -1}; | ||
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PriorityQueue<Node> pq = new PriorityQueue<Node>(); | ||
pq.offer(new Node(0, 0, board[0][0])); | ||
distance[0][0] = board[0][0]; | ||
while(!pq.isEmpty()) { | ||
Node now = pq.poll(); | ||
if(distance[now.x][now.y] < now.distance) { | ||
continue; | ||
} | ||
for (int i = 0; i < 4; i++) { | ||
int nx = now.x + dx[i]; | ||
int ny = now.y + dy[i]; | ||
if(0 <= nx && nx < n && 0 <= ny && ny <n) { | ||
int cost = board[nx][ny] + now.distance; | ||
if(cost < distance[nx][ny]) { | ||
distance[nx][ny] = cost; | ||
pq.offer(new Node(nx, ny, cost)); | ||
} | ||
} | ||
} | ||
} | ||
return distance[n-1][n-1]; | ||
} | ||
} | ||
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class Node implements Comparable<Node> { | ||
int x; | ||
int y; | ||
int distance; | ||
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public Node(int x, int y, int distance) { | ||
this.x = x; | ||
this.y = y; | ||
this.distance = distance; | ||
} | ||
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@Override | ||
public int compareTo(Node other) { | ||
return this.distance - other.distance; | ||
} | ||
} | ||
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/* | ||
1 | ||
3 | ||
5 5 4 | ||
3 9 1 | ||
3 2 7 | ||
*/ | ||
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/* | ||
1 | ||
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3 7 2 0 1 | ||
2 8 0 9 1 | ||
1 2 1 8 1 | ||
9 8 9 2 0 | ||
3 6 5 1 5 | ||
*/ | ||
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/* | ||
3 | ||
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5 5 4 | ||
3 9 1 | ||
3 2 7 | ||
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3 7 2 0 1 | ||
2 8 0 9 1 | ||
1 2 1 8 1 | ||
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3 6 5 1 5 | ||
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4 1 2 1 6 5 3 | ||
0 7 6 1 6 8 5 | ||
1 1 7 8 3 2 3 | ||
9 4 0 7 6 4 1 | ||
5 8 3 2 4 8 3 | ||
7 4 8 4 8 3 4 | ||
*/ |
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bongf/python/ch17_shortest_path/q39_mars_exploration.py
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import heapq | ||
import sys | ||
def solution(): | ||
t = int(input()) | ||
for _ in range(t): | ||
print(exploration_floyid()) | ||
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def exploration_floyid(): | ||
INF = int(1e9) | ||
n = int(input()) | ||
board = [] | ||
for i in range(n): | ||
board.append(list(map(int, input().split(" ")))) | ||
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path = [[INF] * (n**2) for _ in range(n**2)] | ||
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dx = [-1, 0, 1, 0] | ||
dy = [0, 1, 0, -1] | ||
for i in range(n): | ||
for j in range(n): | ||
s = i * n + j | ||
for m in range(4): | ||
ni = i + dx[m] | ||
nj = j + dy[m] | ||
if(0<= ni < n and 0 <= nj < n): | ||
e = ni * n + nj | ||
path[s][e] = board[i][j] | ||
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q = [] | ||
heapq.heappush(q, (0, 0)) | ||
distance = [INF] * (n ** 2) | ||
distance[0] = 0 | ||
while q: | ||
dist, now = heapq.heappop(q) | ||
# print(dist, now) | ||
# print(path[now]) | ||
if distance[now] < dist: | ||
continue | ||
destinations = path[now] | ||
for des, d in enumerate(destinations): | ||
cost = dist + d | ||
if distance[des] > cost : | ||
distance[des] = cost | ||
# print("update", cost, des) | ||
heapq.heappush(q, (cost, des)) | ||
# print(distance) | ||
return distance[n**2 -1] + board[n-1][n-1] | ||
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def dongbin(): | ||
input = sys.stdin.readline | ||
dx = [-1, 0, 1, 0] | ||
dy = [0, 1, 0, -1] | ||
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for tc in range(int(input())): | ||
n = int(input()) | ||
graph = [] | ||
for i in range(n): | ||
graph.append(list(map(int, input().split()))) | ||
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INF = int(1e9) | ||
distance = [[INF] * n for _ in range(n)] | ||
x, y = 0, 0 | ||
q = [(graph[x][y], x, y)] | ||
while q: | ||
dist, x, y = heapq.heappop(q) | ||
if distance[x][y] < dist : | ||
continue | ||
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for i in range(4): | ||
nx = x + dx[i] | ||
ny = y + dy[i] | ||
if not (0<= nx < n and 0 <= ny < n): | ||
continue | ||
cost = dist + graph[nx][ny] | ||
if(cost < distance[nx][ny]): | ||
distance[nx][ny] = cost | ||
heapq.heappush(q, (cost, nx, ny)) | ||
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print(distance[n-1][n-1]) | ||
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solution() | ||
# dongbin() | ||
# 최대 노드의 개수 15625 | ||
# 확인해야 하는 경로의 개수 24417196 | ||
# print(125 * 125 * 10) ## 15625 | ||
# print(15626 ** 2) ## 244171876 | ||
''' | ||
1 | ||
3 | ||
5 5 4 | ||
3 9 1 | ||
3 2 7 | ||
''' | ||
''' | ||
1 | ||
5 | ||
3 7 2 0 1 | ||
2 8 0 9 1 | ||
1 2 1 8 1 | ||
9 8 9 2 0 | ||
3 6 5 1 5 | ||
''' | ||
''' | ||
3 | ||
3 | ||
5 5 4 | ||
3 9 1 | ||
3 2 7 | ||
5 | ||
3 7 2 0 1 | ||
2 8 0 9 1 | ||
1 2 1 8 1 | ||
9 8 9 2 0 | ||
3 6 5 1 5 | ||
7 | ||
9 0 5 1 1 5 3 | ||
4 1 2 1 6 5 3 | ||
0 7 6 1 6 8 5 | ||
1 1 7 8 3 2 3 | ||
9 4 0 7 6 4 1 | ||
5 8 3 2 4 8 3 | ||
7 4 8 4 8 3 4 | ||
''' |