104 lines
2.7 KiB
C++
104 lines
2.7 KiB
C++
#include <bits/stdc++.h>
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using namespace std;
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const int N = 510;
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const int INF = 0x3f3f3f3f;
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typedef pair<int, int> PII;
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// 2178 ms
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int n, m;
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char g[N][N];
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bool st[N][N];
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int dist[N][N];
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//点偏移:左上 左下 右下 右上
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int dx[] = {-1, 1, 1, -1};
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int dy[] = {-1, -1, 1, 1};
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//格子偏移:(1,1)->(0,0),(1,1)->(1,0),(1,1)->(1,1),(1,1)->(0,1)
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int ix[] = {-1, 0, 0, -1};
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int iy[] = {-1, -1, 0, 0};
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//标准姿势
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char cs[] = "\\/\\/";
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int getNum(int x, int y) {
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/*
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* 按点看 ,为 0,1,2,3,4,...,m
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* 按格子看,为 1,2,3,4,...,m
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即按点看,每行m+1个点
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推广公式化: 编号 = 行号(可以从0开始,也可以从1开始)*列的数量 + 列号
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*/
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return x * (m + 1) + y; //按点看,共m+1列
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}
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void bfs() {
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//多组测试数据,重新初始化
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memset(st, 0, sizeof st);
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//距离初始化,注意全部初始化为正无穷,并且,需要指定出发点距离为0
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memset(dist, 0x3f, sizeof dist);
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dist[0][0] = 0;
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//小顶堆
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priority_queue<PII, vector<PII>, greater<PII>> q;
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//将距离0,点号为0入小顶堆
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q.push({0, getNum(0, 0)});
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while (q.size()) {
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PII u = q.top();
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q.pop();
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//距离
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int distance = u.first;
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//点号 还原回 坐标
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int x = u.second / (m + 1), y = u.second % (m + 1);
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//第一次出队列的是最小值,后出的没用
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if (st[x][y]) continue;
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//标记为已出队过
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st[x][y] = true;
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for (int i = 0; i < 4; i++) {
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//到哪个点
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int tx = x + dx[i], ty = y + dy[i];
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//出界
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if (tx < 0 || tx > n || ty < 0 || ty > m) continue;
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//走哪个格子
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int cx = x + ix[i], cy = y + iy[i];
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int d;
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if (g[cx][cy] == cs[i]) //如果要走的格式与零成本的一致,则不收钱
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d = dist[x][y];
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else
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d = dist[x][y] + 1; //否则收1元钱
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if (d < dist[tx][ty]) { //是不是可以更新最小距离
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dist[tx][ty] = d;
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q.push({d, getNum(tx, ty)}); //入小顶堆
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}
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}
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}
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}
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int main() {
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//加快读入
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cin.tie(0), ios::sync_with_stdio(false);
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int T;
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cin >> T;
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while (T--) {
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// n行m列
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cin >> n >> m;
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// 读入数据
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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 >> g[i][j];
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//宽搜
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bfs();
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//输出
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if (dist[n][m] == INF)
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printf("NO SOLUTION\n");
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else
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printf("%d\n", dist[n][m]);
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}
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return 0;
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} |