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feat: 实现基于0-1 BFS的最大欧式距离计算
添加0-1 BFS算法来计算网格中可达点的最小代价,并在此基础上计算满足条件的两点间最大欧式距离。主要功能包括: - 实现0-1 BFS算法计算各点到起点的最小代价 - 遍历所有点对,筛选满足代价条件的点对 - 计算并输出最大欧式距离
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int main(){
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#include <cstdio>
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#include <iostream>
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#include <vector>
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#include <deque>
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#include <cmath>
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#include <iomanip>
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#include <algorithm>
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using namespace std;
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const int MAXN = 35;
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const int dx[4] = {0, 1, 0, -1};
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const int dy[4] = {1, 0, -1, 0};
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int n, m, T;
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char grid[MAXN][MAXN];
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bool isValid(int x, int y) {
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return x >= 0 && x < n && y >= 0 && y < m;
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}
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vector<vector<int>> bfs01(int sx, int sy) {
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vector<vector<int>> dist(n, vector<int>(m, 0x3f3f3f3f));
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vector<vector<bool>> visited(n, vector<bool>(m, false));
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deque<pair<int, int>> dq;
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}
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int startcost = (grid[sx][sy] == '1') ? 1 : 0;
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dist[sx][sy] = startcost;
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dq.push_back({sx, sy});
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while (!dq.empty()) {
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auto [x, y] = dq.front();
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dq.pop_front();
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if (visited[x][y]) continue;
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visited[x][y] = true;
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for (int i = 0; i < 4; i++) {
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int nx = x + dx[i];
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int ny = y + dy[i];
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if (!isValid(nx, ny)) continue;
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int cost = (grid[nx][ny] == '1') ? 1 : 0;
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if (dist[x][y] + cost < dist[nx][ny]) {
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dist[nx][ny] = dist[x][y] + cost;
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if (cost == 0) {
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dq.push_front({nx, ny});
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} else {
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dq.push_back({nx, ny});
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}
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}
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}
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}
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return dist;
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}
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double euladis(int x1, int y1, int x2, int y2) {
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return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
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}
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int main() {
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ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m >> T;
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < m; j++) {
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cin >> grid[i][j];
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}
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}
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double maxdis = 0.0;
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < m; j++) {
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auto dist = bfs01(i, j);
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for (int x = 0; x < n; x++) {
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for (int y = 0; y < m; y++) {
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if (dist[x][y] <= T) {
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maxdis = max(maxdis, euladis(i, j, x, y));
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}
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}
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}
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}
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}
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printf("%.6f\n", maxdis);
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}
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